Given: R=2m
KL = LM = KM
Find: V and
Surface Area of the cone
Answers
Answer:
[tex]V = \frac{2L\sqrt{3}}{3} \pi}[/tex]
[tex]A = 4\pi + \sqrt{3L^{2} + 16}[/tex]
Step-by-step explanation:
Figure of cone is missing. See attachment
Given
Radius, R = 2m
Let L = KL=LM=KM
Required:
Volume, V and Surface Area, A
Calculating Volume
Volume is calculated using the following formula
[tex]V = \frac{1}{3} \pi R^{2} H[/tex]
Where R is the radius of the cone and H is the height
First, we need to determine the height of the cone
The height is represented by length OL
It is given that KL=LM=KM in triangle KLM
This means that this triangle is an equilateral triangle
where OM = OK = [tex]\frac{1}{2} KL[/tex]
OK = [tex]\frac{1}{2}L[/tex]
Applying pythagoras theorem in triangle LOM,
|LM|² = |OL|² + |OM|²
By substitution
L² = H² + ( [tex]\frac{1}{2}L[/tex])²
H² = L² - [tex]\frac{1}{4}L[/tex]²
H² = L² (1 - [tex]\frac{1}{4}[/tex])
H² = L² [tex]\frac{3}{4}[/tex]
H² = [tex]\frac{3L^{2} }{4}[/tex]
Take square root of bot sides
[tex]H = \sqrt{\frac{3L^{2} }{4}}[/tex]
[tex]H = \frac{L\sqrt{3}}{2}[/tex]
Recall that [tex]V = \frac{1}{3} \pi R^{2} H[/tex]
[tex]V = \frac{1}{3} \pi 2^{2} * \frac{L\sqrt{3}}{2}[/tex]
[tex]V = \frac{1}{3} \pi * 4} * \frac{L\sqrt{3}}{2}[/tex]
[tex]V = \frac{1}{3} \pi} * {2L\sqrt{3}}[/tex]
[tex]V = \frac{2L\sqrt{3}}{3} \pi}[/tex]
in terms of [tex]\pi[/tex] an d L where L = KL = LM = KM
Calculating Surface Area
Surface Area is calculated using the following formula
[tex]H = \frac{L\sqrt{3}}{4}[/tex]
[tex]A=\pi r(r+\sqrt{h^{2} +r^{2} } )[/tex]
[tex]A=\pi * 2(2+\sqrt{((\frac{L\sqrt{3}}{2})^{2} +2^{2} } )[/tex])
[tex]A=\pi * 2(2+\sqrt{{\frac{3L^{2}}{4} } + 4 }[/tex] )
[tex]A=\pi * 2(2+\sqrt{{\frac{3L^{2}+16}{4} } })[/tex]
[tex]A=2\pi(2+\sqrt{{\frac{3L^{2}+16}{4} } })[/tex]
[tex]A = 2\pi (2 + \frac{\sqrt{3L^{2} + 16}}{\sqrt{4}} )[/tex]
[tex]A = 2\pi (2 + \frac{\sqrt{3L^{2} + 16}}{2} )[/tex]
[tex]A = 2\pi (2 + {\frac{1}{2} \sqrt{3L^{2} + 16})[/tex]
[tex]A = 4\pi + \sqrt{3L^{2} + 16}[/tex]
Related Questions
Credit card balances follow a nearly normal distribution with a mean of $2,900 and a standard deviation of $860. A local credit union believes their customers are carrying an above average credit card balance, so they carry out a study to determine their customers' debt. If the study results in a standard error of $43, what sample size was used in the study
Answers
Answer:
A sample size of 400 was used in the study.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation(standard error) [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, we have that:
[tex]\sigma = 860, s = 43[/tex]
We have to find n.
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]43 = \frac{860}{\sqrt{n}}[/tex]
[tex]43\sqrt{n} = 860[/tex]
[tex]\sqrt{n} = \frac{860}{43}[/tex]
[tex]\sqrt{n} = 20[/tex]
[tex](\sqrt{n})^{2} = 20^{2}[/tex]
[tex]n = 400[/tex]
A sample size of 400 was used in the study.
Can someone please help me ill give them brainliest awnser if its correct
it's also worth 20 pts
Answers
Answer:
153.9380400259 in2
Step-by-step explanation:
Answer:
49 pi or 153.86
Step-by-step explanation:
The area of a circle can be found using
a=pi*r^2
We know the radius is 7 so we can substitute that in
a=pi*7^2
a=pi*49
The answer in terms of pi is 49pi units^2
For an exact answer, substitute 3.14 in for pi
a=pi*49
a=3.14*49
a=153.86
The area is also 153.86 units^2
Part of a usability study to assess voting machines measured the time on task (TOT) of voters casting ballots (efficiency). Specifically, the data are for the same ballot cast on two different voting machines at the same location (called a precinct). Your job is to perform a "t" test on these data and draw conclusions about which voting machine is better in terms of usability. A few background items:
• The voters (participants/users) are a homogeneous group.
• Voters were randomly assigned to the voting machines.
• Thus, the two groups of voters (one group using the DRE voting machine, and the other using the OptiScan voting machine) have equal variances.
• We have no advance information to indicate that one voting machine will be better than the other. If you need a refresher of the "t" test, read the "t-test description.pdf"
Question1 – What is the null hypothesis in this usability study?
Question 2 – How many degrees of freedom are in each group (the DRE and OptiScan groups)?
Question 3 – Which "t" test should be used – paired, unpaired/equal variance, unpaired/unequal variance?
Question 4 – Should a one-tail, or two-tailed test be used, and why?
Question 5 – What is the t value?
Question 6 – Is the t value significant at the 0.05 level, and why?
Question 7 – Is the t value significant at the 0.01 level, and why?
Question 8 – Considering the combination of the above analysis, and the number of ballots completed, which voting machine has better usability, and why?
Answers
Answer:
See attached file
Step-by-step explanation:
(Photo attached) Trig question. Please explain and thanks in advance! :)
Answers
Answer:
0.2036
Step-by-step explanation:
u = arcsin(0.391) ≈ 23.016737°
tan(u/2) = tan(11.508368°)
tan(u/2) ≈ 0.2036
__
You can also use the trig identity ...
tan(α/2) = sin(α)/(1+cos(α))
and you can find cos(u) as cos(arcsin(0.391)) ≈ 0.920391
or using the trig identity ...
cos(α) = √(1 -sin²(α)) = √(1 -.152881) = √.847119
Then ...
tan(u/2) = 0.391/(1 +√0.847119)
tan(u/2) ≈ 0.2036
__
Comment on the solution
These problems are probably intended to have you think about and use the trig half-angle and double-angle formulas. Since you need a calculator anyway for the roots and the division, it makes a certain amount of sense to use it for inverse trig functions. Finding the angle and the appropriate function of it is a lot easier than messing with trig identities, IMO.
The Hilbert Drug Store owner plans to survey a random sample of his customers with the objective of estimating the mean dollars spent on pharmaceutical products during the past three months. He has assumed that the population standard deviation is known to be $15.50. Given this information, what would be the required sample size to estimate the population mean with 95 percent confidence and a margin of error of ±$2.00? Question 33 options: 231 15 16 163
Answers
Answer:
a) 231
The sample to estimate the population mean with 95 percent confidence and a margin of error of ±$2.00
n = 231
Step-by-step explanation:
Explanation:-
Given data the population standard deviation is known σ =$15.50
Given the margin of error ±$2.00
we know that 95 percent confidence interval of margin of error is determined by
[tex]M.E = \frac{Z_{\alpha }S.D }{\sqrt{n} }[/tex]
cross multiplication √n we get ,
[tex]\sqrt{n} = \frac{Z_{\alpha }S.D }{M.E }[/tex]
squaring on both sides, we get
[tex](\sqrt{n} )^2 = (\frac{Z_{\alpha }S.D }{M.E })^2[/tex]
[tex]n = (\frac{Z_{\alpha }S.D }{M.E })^2[/tex]
the tabulated z- value = 1.96 at 95% of level of significance.
[tex]n = (\frac{1.96(15.50) }{2 })^2[/tex]
n = 230.7≅231
Conclusion:-
The sample to estimate the population mean with 95 percent confidence and a margin of error of ±$2.00
n = 231
The required sample size to estimate the mean dollars spent on pharmaceutical products with 95% confidence and ±$2.00 margin of error is 231.
Explanation:To estimate the required sample size, we need to use the formula:
Sample size = (Z^2 * σ^2) / E^2
Where:
Z is the z-score for the desired confidence level (in this case, 95% confidence level corresponds to a z-score of 1.96)σ is the population standard deviation (given as $15.50)E is the desired margin of error (given as $2.00)
Plugging in the values into the formula gives us:
Sample size = (1.96^2 * 15.50^2) / 2^2 = 231.36
Rounding up to the nearest whole number, the required sample size is 231.
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Many variants of poker are played with both cards in players’ hands and shared community cards. Players’ hand are some combination of the two sets of cards. For parts (a) and (b), consider playing such that Anna, Brad, Charlie, and Dre each have 2 cards for themselves, and build a 5 card hand out of those 2 cards and 3 shared cards. Assume a standard 52-card deck is being used.
What is the probability that Anna has a flush, where her 2 cards and the 3 community cards share a suit?
Answers
Answer:
Step-by-step explanation:
Given that Anna has a flush, this means that the three shared cards and the 2 cards with Anna has the same suit, therefore given this condition the probability that Brad also has a flush is computed here as:
= Probability that Brad has the same suit cards as those shared cards and Anna
= Probability that Brad selected 2 cards from the 8 cards remaining of that suit
= Number of ways to select 2 cards from the 8 cards of that same suit / Total ways to select 2 cards from the remaining 47 cards
= 0.0259
Therefore 0.0259 is the required probability here.
the little calculation is shown in the picture attached
Description : Ella has a rechangle that has a side with a length of 1/4 foot and a side with a length of 3/4 foot She shaded a model to show that the area of her reciongle is 3/16 square foot Which models represents Ella's rectangle Explain how you know.
Answers
Answer:
What are the models?
Final answer:
Ella's rectangle has a length of 1/4 foot and a width of 3/4 foot. Multiplying these dimensions gives an area of 3/16 square foot, confirming that the model of her rectangle is correct.
Explanation:
The question presents a scenario where Ella has a rectangle with a length of 1/4 foot and a width of 3/4 foot. To find the area of a rectangle, you multiply the length by the width. Thus, the area of Ella's rectangle is calculated as follows:
Area = Length * Width
Area = (1/4) * (3/4)
Area = 3/16 square feet
The model that represents Ella's rectangle should be a scaled shape where the area corresponds to the given sides' lengths. Having a model with these dimensions and affirming that its area is 3/16 square foot simply verifies that the side lengths were used correctly to determine the rectangular area. This applies the concept that the area of a rectangle is a product of its length and width.
Use the data table provided to calculated the values requested below. Provide all answers to three decimal places.
Has at least 1 child Has no children Total
Supports bans 1739 3089 4828
Does not support bans 746 1142 1888
Total 2485 4231 6716
1. Conditional proportion of support for the ban among those with at least one child: ________
2. Conditional proportion of support for the ban among those with no children: __________
3. Difference in proportion of supporters for the ban between those with at least one child and those with no children (at least 1 child - no children): ___________
4. Relative risk of supporting the ban for those with at least one child compared to those with no children: _________
Answers
Answer:
1) 0.700
2) 0.730
3) 0.030
4) 0.959
Step-by-step explanation:
1) proportion of support for the ban with at least one child =
[tex]\frac{no of support atleast 1 child}{Total no of atleast 1 child\\}[/tex]
= [tex]\frac{1739}{2485}[/tex]
= 0.700
2) proportion of support for the ban with no child =
= [tex]\frac{no of support with no child}{Total of no child}[/tex]
= [tex]\frac{3089}{4231}[/tex]
= 0.730
3) Difference in proportion of supporters for the ban between those with atleast one child and those with no child
= 0.700 - 0.730
= -0.03
4) Relative risk = [tex]\frac{proportion with atleast on child}{proportion with no child}[/tex]
= [tex]\frac{0.700}{0.730}[/tex] = 0.959
Suppose that time spent on hold per call with customer service at a large telecom company is normally distributed with a mean µ = 8 minutes and standard deviation σ = 2.5 minutes. If you select a random sample of 25 calls (n=25), What is the probability that the sample mean is between 7.8 and 8.2 minutes?
Answers
Answer:
0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8 minutes
Standard Deviation, σ = 2.5 minutes
Sample size, n = 25
We are given that the distribution of time spent is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
Standard error due to sampling =
[tex]=\dfrac{\sigma}{\sqrt{n}} = \dfrac{2.5}{\sqrt{25}} = 0.5[/tex]
P(sample mean is between 7.8 and 8.2 minutes)
[tex]P(7.8 \leq x \leq 8.2)\\\\ = P(\displaystyle\frac{7.8 - 8}{0.5} \leq z \leq \displaystyle\frac{8.2-8}{0.5})\\\\ = P(-0.4 \leq z \leq 0.4})\\\\= P(z < 0.4) - P(z < -0.4)\\\\= 0.6554 -0.3446= 0.3108[/tex]
0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.
1x2x2x2..........50=50!
Answers
A carpenter bought a piece of wood that was 4.9 centimeters long. Then he sawed 4.1 centimeters off the end. How long is the piece of wood now?
Answers
Final answer:
After subtracting the length sawed off (4.1 cm) from the original length of the piece of wood (4.9 cm), the remaining length of the piece of wood is 0.8 centimeters.
Explanation:
The student's question is about subtracting two lengths given in centimeters to determine the remaining length of a piece of wood. To find out how long the piece of wood is after cutting, we subtract the length sawed off from the original length. So if the original piece of wood was 4.9 centimeters long, and the carpenter sawed off 4.1 centimeters, we perform the subtraction 4.9 cm - 4.1 cm to find the remaining length. The calculation is as follows:
4.9 cm (original length)- 4.1 cm (length sawed off)= 0.8 cm (remaining length)
Therefore, the piece of wood is now 0.8 centimeters long.
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i need points please if i have 0 and you give me 10 then how much do i have?
Answers
Answer:
10 :/
Step-by-step explanation:
If you have 0 and I give you 10, then you have 10 because 0+10 is 10.
Students in a statistics class participated in a project in which they attempted to estimate the true mean height of all students in their large high school. The students were split into 4 groups. Each group had their own sampling method and they used it to select a sample each day for 50 days. Below are the estimated 50 samples. After the samples were collected and the means were plotted the teacher visited the school nurse who told her that the true mean height of all students in the school is 67.5 inches. Which group produced sample statistics that estimated the true value of the parameter with relatively low bias and low variability.
Answers
Answer: Group B
Step-by-step explanation:
The histogram constructed by group 2 is centered at 67.5, which is the true mean height of all students at the school, so this histogram displays low bias. The values of the statistics also do not vary greatly from the mean, as can be seen by the lower variability of the histogram. Group 2 produced sample statistics that estimated the true value of the parameter with relatively low bias and low variability.
Answer:
The correct answer is (B).
Step-by-step explanation:
The histogram constructed by group 2 is centered at 67.5, which is the true mean height of all students at the school, so this histogram displays low bias. The values of the statistics also do not vary greatly from the mean, as can be seen by the lower variability of the histogram. Group 2 produced sample statistics that estimated the true value of the parameter with relatively low bias and low variability.
equation of a line that has a slope of -2 and passes through the point (-1,8)
Answers
Answer:
y= -2x +6
Step-by-step explanation:
Since we have a point, and the slope, we can use the point slope formula
[tex]y-y_{1} =m(x-x_{1} )[/tex]
m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point
In this case, m is -2, y1 is 8, and x1 is -1, so we can substitute them in
y-8= -2(x--1)
Now, we need to solve for y
y-8=-2(x+1)
Distribute the -1
y-8= -2x-2
Add 8 to both sides
y= -2x +6
Suppose ADB pays an interest of 2%, Barclays pays an interest of
4% and GCB pays an interest of 5% per annum and an amount of ¢350 more was invested in
Barclays than the amount invested in ADB and GCB combined. Also, the amount invested in
Barclays is 2 times the amount invested in GCB.
Answers
Correction
https://brainly.in/question/16846717
Answer:
Amounts invested in each bank:
GCB=$1,713,33
Barclays=$3,426.66
ADB=$1,363.33
Step-by-step explanation:
-Given that ADB pays 2% pa, GCB pays 4% and Barclays pays 5%
-From the information provided, the amount invested in each of the 3 banks can be expressed as:
-Let X be the Amount invested in GCB:
[tex]GCB=X\\\\Barclays=2X\\\\ADB=2X-X-350=X-350[/tex]
-Since the total interest earned on all 3 accounts after 1 year is $250, we can equate and solve for X as below:
[tex]I=Prt\\\\I_{GCB}=X\times 0.05\times1= 0.05X\\\\I_{Barclays}=2X\times 0.04\times 1=0.08X\\\\I_{ADB}=(X-350)\times 0.02\times 1=0.02X-7\\\\I=I_{GCB}+I_{ADB}+I_{Barclays}\\\\250=0.05X+0.08X+(0.02X-7)\\\\250=0.15X-7\\\\0.15X=257\\\\X=1713.33\\\\GCB=\$1713.33\\Barclays=2X=\$3426.66\\ADB=X-350=\$1363.33[/tex]
Hence, the amounts invested in each bank is GCB=$1,713,33 , Barclays=$3,426.66 and ADB=$1,363.33
Answer:
Amounts invested in each bank:
GCB=$1,713,33
Barclays=$3,426.66
ADB=$1,363.33
Step-by-step explanation:
The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 9.3 minutes and a standard deviation of 2.6 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)
Answers
Answer:
a) 0.6062
b) 0.9505
c) 0.679
Step-by-step explanation:
The customer service center in a large new york department store has determined tha the amount of time spent with a customer about a complaint is normally distributed, with a mean of 9.3 minutes and a standard deviation of 2.5 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be
(a) less than 10 minutes?
(b) longer than 5 minutes?
(c) between 8 and 15 minutes?
a) The Z score (z) is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex],
Where:
μ is the mean = 9.3 minutes,
σ is the standard deviation = 2.6 minutes and x is the raw score
[tex]z=\frac{x-\mu}{\sigma}=\frac{10-9.3}{2.6}=0.27[/tex]
From the z tables, P(X < 10) = P(z < 0.27) = 0.6062 = 60.62%
b) The Z score (z) is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex],
[tex]z=\frac{x-\mu}{\sigma}=\frac{5-9.3}{2.6}=-1.65[/tex]
From the z tables, P(X > 5) = P(z > -1.65) = 1 - P(z < -1.65) = 1 - 0.0495 = 0.9505 = 95.05%
c) For 8 minutes
[tex]z=\frac{x-\mu}{\sigma}=\frac{8-9.3}{2.6}=-0.5[/tex]
For 15 minutes
[tex]z=\frac{x-\mu}{\sigma}=\frac{15-9.3}{2.6}=2.19[/tex]
From the z tables, P(8< X < 15) = P(-0.5 < z < 2.19) = P(z < 2.19) - P(z< -0.5) = 0.9875 - 0.3085 = 0.679 = 67.9%
The question pertains to finding a probability concerning the time taken to resolve a customer's complaint. The time follows a normal distribution with a mean of 9.3 minutes and a standard deviation of 2.6 minutes. We need to calculate the Z-score with the required time, mean and standard deviation, which can then be referenced on a standard normal distribution table to find the probability.
Explanation:The question is about finding the probability of the time spent with a customer in a Customer Service Center of a department store in New York, given that the time that is spent follows a normal distribution with a mean of 9.3 minutes, and a standard deviation of 2.6 minutes.
To calculate this, we'll use the standard normal distribution, Z-score, which standardizes the distribution. The Z-score is a measure of how many standard deviations an element is from the mean. It can be calculated by using the formula: Z = (X - μ) / σ
where X is the time about which we want to find the probability, μ is the mean, and σ is the standard deviation.
Unfortunately, the exact time (X) you want to find the probability for was not provided in your question. However, assuming X to be a given time, t, you substitute t, 9.3 (the mean), and 2.6 (the standard deviation) into the formula to get a Z-score. Then, by referencing the Z-score on a standard normal distribution table, you can find the probability for a complaint taking at an amount of time, t, to be resolved.
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Wheat & Oats Inc. is planning a design for their new line of flavored oatmeal products. They have to choose one of these cylinder containers.
3 cylinders. Figure A has a height of 7 inches and diameter of 4 inches. Figure B has a height of 5.5 inches and radius of 3 inches. Figure C has a height of 10 inches and B = 12.57 inches squared.
It costs the company $0.02 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $2.00 to fill. Which of the proposed container sizes should the company use?
1. Container A
2. Container B
3. Container C
4. None. They all cost more than $2.00.
IF YALL HAVE THIS QUESTION ITS NUMER 1
Answers
Answer:
a) Container A
Step-by-step explanation:
i just did the assignment and that was the correct answer.
Answer:
container a
Step-by-step explanation:
Gianna bought some new bracelets for $29.99 and a sales tax of $2.40 was added to the cost. What was the sales tax rate (percent)? Round to the nearest percent.
Answers
Answer:
8% is the final answer.
Step-by-step explanation:
(2.4/29.99)x100
=0.08x100
=8%
A circular swimming pool has a radius of 15 feet. The family that owns the pool wants to put up a circular fence that is 5 feet away from the pool at all points. Which is closest to the circumference of the fence they will need?
Answers
Answer: HI
Step-by-step explanation:
Answer:
Wizard123Ambitious
C = 2*pi*radius
radius = 15+5 = 20
C = 2*pi*20 = 40*pi = 125.6
Step-by-step explanation:
A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 198 like rock, 152 like country, and 113 like jazz. Moreover, 21 like rock and country, 22 like rock and jazz, 16 like country and jazz, and 5 like all three types of music. What is the probability that a radomly selected student likes jazz or country but not rock?
Answers
Answer:
The probability that a randomly selected student likes jazz or country but not rock is 0.422.
Step-by-step explanation:
The information provided is:
Total number of students selected, N = 500.
The number of students who like rock, n (R) = 198.
The number of students who like country, n (C) = 152.
The number of students who like jazz, n (J) = 113.
The number of students who like rock and country, n (R ∩ C) = 21.
The number of students who like rock and Jazz, n (R ∩ J) = 22.
The number of students who like country and jazz, n (C ∩ J) = 16.
The number of students who like all three, n (R ∩ C ∩ J) = 5.
Consider the Venn diagram below.
Compute the probability that a randomly selected student likes jazz or country but not rock as follows:
P (J ∪ C ∪ not R) = P (Only J) + P (Only C) + P (Only J ∩ C)
[tex]=\frac{80}{500}+\frac{120}{500}+\frac{11}{500}\\=\frac{211}{500}\\=0.422[/tex]
Thus, the probability that a randomly selected student likes jazz or country but not rock is 0.422.
So, the required probability is,
P(Jazz or country but not rock) =0.422
To understand the calculations, check below.
Probability:It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that the number of students is 500.
Then the students like rock and country is [tex]21-5=16[/tex]
The students like rock and Jazz is [tex]22-5=17[/tex]
The students like country and Jazz is [tex]16-5=1[/tex]
Students like only rock is [tex]198-16-5-17=160[/tex]
Students like the only country are [tex]152-16-5-11=120[/tex]
Students like only Jazz are [tex]113-17-5-11=80[/tex]
So, the P(Jazz or country but not rock) is,
[tex]P(Jazz\ or\ country\ but\ not\ rock)=\frac{120+11+80}{500} \\P(Jazz\ or\ country\ but\ not\ rock)=0.422[/tex]
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Melissa rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 12.
Answers
Answer:
35/36
Step-by-step explanation:
total outcome: 6 x 6 = 36
getting 12: 1/36
getting less than 12: 1 - 1/36 = 35/36
Answer:
35/36
Step-by-step explanation:
The sum can be between 2 and 12.
P(sum < 12) = 1 - P(sum = 12)
Sum = 12: (6,6)
P(sum < 12) = 1 - 1/36
35/36
Describe how you would find 24+ 36 using mental math
Answers
To solve 24+36 using mental math, break it down into simpler steps. First, add 20 + 30 = 50. Then, add 4 + 6 = 10. Finally, combine 50 + 10 to get 60.
Explanation:To solve the equation 24+36 using mental math, you can break it down into simpler steps. First, add the tens together: 20 + 30 = 50. Then add the remaining units: 4 + 6 = 10. Finally, combine these results: 50 + 10 = 60. Therefore, 24 + 36 equals 60 when using mental math strategies.
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Suppose 100 stastisticians attended a conference of the American Statistical Society. At the dinner, among the menu options were a Caesar salad, roast beef, and apple pie. 35 had the Caesar salad, 28 had the roast beef, and 45 had the apple pie for dessert. Also, 15 had at least two of those three offerings, and 2 had all three. How many attendees had none of the three
Answers
Answer: 26 attendees had none of the three.
Step-by-step explanation:
The Venn diagram illustrating the situation is shown in the attached photo.
C represents the set of statisticians that had Caesar salad.
R represents the set of statisticians that had roast beef.
A represents the set of statisticians that had apple pie for dessert.
x represents the number that had Caesar salad and apple pie for dessert only.
y represents the number that had Caesar salad and roast beef.
z represents the number that had roast beef and apple pie for dessert only.
If 15 had at least two of those three offerings,it means that
x + y + z = 15
Therefore,
35 - (x + y + 2) + 28 - (y + z + 2) + 45 - (x + z + 2) + 2 + none = 100
35 - x - y - 2 + 28 - y - z - 2 + 45 - x - z - 2 + 2 + none = 100
35 + 28 + 45 - x - x - y - y - z - z - 2 - 2 - 2 + 2 + none = 100
108 - 2x - 2y - 2z - 4 + none = 100
108 - 4 - 2(x + y + z) + none = 100
Since x + y + z = 15, then
104 - 2(15) + none = 100
74 + none = 100
none = 100 - 74 = 26
From what root word is conversational made? A) conversate B) conversation C) vers D) converse
Answers
Answer:
B conversation
Answer:
c
Step-by-step explanation:
because i got it right
Drag each length to match it to an equivalent length.
(2 yards 5 inches) (2 feet 8 inches) (1 yard 1 foot) (9 feet)
l 3 yards l________________l
l 77 inches l________________l
l 48 inches l________________l
L 32 inches l________________l
HELP ME I WILL GIVE YOU 31 POINTS
Answers
Answer:
2 yards 5 inches=77 inches
9 feet= 3 yards
2 feet 8 inches= 32 inches
1 yard 1 foot= 48 inches
hope this helps!
The table representing the equivalent lengths in each case is-
3 yards : 2 yards 5 inches
77 inches : 9 feet
48 inches : 2 feet 8 inches
32 inches : 1 yard 1 foot
What is algebraic expression?An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -
2x + 3y + 5
2z + y
x + 3y
Given is to complete the table by matching the equivalent lengths for -
3 yards
77 inches
48 inches
32 inches
In one yard there are 36 inches. We can write the equivalent length in each case as -
3 yards : 2 yards 5 inches
77 inches : 9 feet
48 inches : 2 feet 8 inches
32 inches : 1 yard 1 foot
Therefore, the table representing the equivalent lengths in each case is-
3 yards : 2 yards 5 inches
77 inches : 9 feet
48 inches : 2 feet 8 inches
32 inches : 1 yard 1 foot
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I have a algebraic problem
7277+x=10245
Answers
Answer:
x = 2968
Step-by-step explanation:
7277 + x = 10245
-7277 -7277 (Subtract 7277 from both sides to leave x by itself)
_____________
x = 2968
Could you give brainliest
Answer:
x =2968
Step-by-step explanation:
7277+x=10245
Subtract 7277 from each side
7277-7277+x=10245-7277
x =2968
According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduates from public universities had student loans. We randomly select 50 sample college graduates from public universities and determine the proportion in the sample with student loans.
Answers
Answer:
[tex]\frac{31}{50}[/tex]
Step-by-step explanation:
percentage of graduates with loan = 62%
total sample = 50
Number of student in the sample with student loan
= (percentage of graduates with loan) x (total sample)
= 62% x 50
= 31
Proportion of student in the sample with student loan = [tex]\frac{31}{50}[/tex]
Can someone please help
Answers
Answer:
just add every thing up to gether
Step-by-step explanation:
Answer:
P = 26 , A = 28
Step-by-step explanation:
P=a+b+c+d = 6+8+7+5=26
A = [tex]\frac{a+b}{2}h = \frac{6+8}{2} 4 = 28[/tex]
brainliest plz
North Country Rivers of York, Maine, offers one-day white-water rafting trips on the Kennebec River. The trip costs $69 per person and wetsuits are x dollars each. Simplify the expression using the distributive property to find the total cost of one trip for a family of four if each person uses a wetsuit. 4(69 + x)
Answers
Answer:
4x + 276
Step-by-step explanation:
Multiply 4 by 69 and x.
It is estimated that the total time Americans will spend on taxes this year is 7.8 billion hours! According to the White House budget office, tax work accounts for approximately 80% of the paperwork burden of the federal government. If 7.8 billion hours is 80% of the total time spent on federal government paperwork, how many hours are equivalent to 50% of the total time spent on federal government paperwork?
Answers
Answer:
4.875 billion hours
Step-by-step explanation:
-Let X be the total time spent on taxes and 7.8 billion (80%) is time on paper work.
#We equate and cross multiply to get the total time on taxes:
[tex]0.8=7.8\\1=X\\\\\therefore X=\frac{1\times 7.8}{0.8}\\\\\\=9.75[/tex]
-let y be the 50% amount of time spent. we equate to find it in actual hours:
[tex]1=9.75\\0.5=y\\\\y=\frac{9.75\times 0.5}{1}\\\\=4.875[/tex]
Hence, 50% of the time is equivalent to 4.875 billion hours