Answer:
16 cm,7cm, start root 12.
A cereal company is putting 111 of 444 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/41/41, slash, 4. Vera wonders how many boxes she should expect to buy to get all 444 prizes. She carried out 363636 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 444 prizes in that trial.
Answer:
(27/36) = (3/4) = 0.75
Step-by-step explanation:
The complete question is attached to this solution.
P(9 or fewer boxes) = P(x ≤ 9)
Since Vera carried out the simulation/experiment, this probability will be read from the results of her simulation (the dotplot).
Note that the dots on the numbers of the dotplot represent the number of boxes it took Vera to get all the prizes.
So, the probability of getting all the prizes in 9 or fewer boxes will be just counting the number of times in the simulation where she got the 4 prizes in 9 boxes or fewer.
This starts from the least number on the dotplot, 4 all the way to 9.
Total number of simulations = 36
P(x ≤ 9) = P(x=4) + P(x=5) + P(x=6) + P(x=7) + P(x=8) + P(x=9)
= (4/36) + (6/36) + (3/36) + (4/36) + (4/36) + (6/36) = (27/36)
Hope this Helps!!!!
This question is about the Coupon Collector's problem in probability theory. The expected number of cereal boxes one would need to buy to collect all 444 prizes can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n).
Explanation:This problem is essentially a mathematical statistics problem, more specifically, it involves the concept of probability and expected value. In this case, the company is inserting a prize into each box of cereal. There are 444 unique prizes, and the probability of getting any specific prize is 1 out of 444. Therefore, the number of boxes one would need to buy to collect all prizes follows what is known as the Coupon Collector's problem in probability theory.
The expected number of boxes one would need to buy can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n), where n is the number of unique prizes.
Plugging n = 444 into the formula gives us: E[X] = 444*(1 + 1/2 + 1/3 + ... + 1/444). For a large number of trials, this value will closely approximate the average number of boxes one would need to buy to collect all 444 prizes.
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A loaf of bread from a local baker measures on the scale at 957.83 grams. If converted to ounces, what amount would that be? Round to 2 decimals.
Lisa and Elise are discussing measures of spread. Elise says the best measure of spread with which to compare data sets is the IQR. Lisa says the best measure of spread with which to compare data sets is the standard deviation. Complete the sentences
Elise is correct if the data set is
Large
Normal
Skewed
Small
Answer:
I believe the correct answer is normal
Step-by-step explanation:
Elise is correct if the data set is is normal.
What is Inter Quartile Range?The second and third quartiles, or the centre half of your data set, are contained in the interquartile range (IQR). The interquartile range provides the range of the middle half of a data set, whereas the range provides the spread of the entire data set.
The term "interquartile range" is IQR.
Also, interquartile range can have another term as mid spread.
One must organise the numbers from lower values to higher values in order to determine this range.
This evaluates data set variability.
Thus, Elise is correct if the data set is Normal.
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Brittany surveyed the 37 students in her math class on whether they liked
jogging. Of the girls, 14 liked jogging and 8 did not. How many boys are in
Brittany's class?
Answer:15 boys
Step-by-step explanation:
14+8
37-22
A 16-ft ladder is placed 4 ft. from the base of a
building. How high on the building will the ladder
reach?
Answer:15.5
Step-by-step explanation:4^2 + h^2 = 16^2
h^2 = 256 - 16 = 240 = 16*15
h = 4 square root 15
h = 15.5
Final answer:
The ladder will reach approximately 15.49 feet on the building, which can be determined by applying the Pythagorean theorem to the right-angled triangle formed by the ladder, the ground, and the building.
Explanation:
The student has asked a question involving the use of the Pythagorean theorem to determine the height a ladder will reach on a building when it is placed at a certain distance from the base of the building. To solve this, we can let the height the ladder reaches on the building be h feet. Since the ladder forms a right-angled triangle with the building and the ground, we can use the Pythagorean theorem which states a² + b² = c², where a and b are the lengths of the sides of the triangle, and c is the length of the hypotenuse (the ladder).
Applying this formula:
Let a = 4 feet (distance from the building).Let c = 16 feet (length of the ladder).To find h, our equation becomes 4² + h² = 16².Solving for h gives h² = 16² - 4², which simplifies to h² = 256 - 16.Thus, h² = 240.Taking the square root of both sides, h = √240, which is approximately 15.49 feet.Therefore, the ladder will reach approximately 15.49 feet high on the building.
What is the volume of the box with a height of 3/2 inches a length of 7/2 inches and a width of 5/2 inches
Hadi earned $358.00 from job this week. Next week, he expects his pay to be 17% less than it was this week. How much money should Hadi expect to be paid next week?
Answer: $297.14
Step-by-step explanation:
Let n be his pay,
X = n - n(17%)
X = n - n(0.17)
X = (358) - 358(0.17)
X = 358 - 60.86
X = $297.14
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 41 male consumers was $135.67, and the average expenditure in a sample survey of 37 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $33, and the standard deviation for female consumers is assumed to be $20.
What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)?
At 99% confidence, what is the margin of error (to 2 decimals)?
Develop a 99% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.
Answer:
[tex]a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716][/tex]
Step-by-step explanation:
a. -Given that:
[tex]n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64[/tex]
#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:
[tex]\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03[/tex]
Hence, the pointer is estimator 67.03
b. The standard error of the point estimator,[tex]\bar x_m-\bar x_f[/tex] is calculated by the following following:
[tex]\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}[/tex]
-And the margin of error, E at a 99% confidence can be calculated as:
[tex]E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416[/tex]
Hence, the margin of error is 15.7416
c. The estimator confidence interval is calculated using the following formula:
[tex]\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}[/tex]
#We substitute to solve for the confidence interval using the standard deviation and sample size values in a above:
[tex]CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716][/tex]
Hence, the 99% confidence interval is [51.2884,82.7716]
Using the information given and the z-distribution, we have that:
The point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females is of $67.03.The margin of error is of $15.74.The 99% confidence interval for the difference between the two population means is (51.29, 82.77).The standard errors are given by:
[tex]s_M = \frac{33}{\sqrt{41}} = 5.1537[/tex]
[tex]s_F = \frac{20}{\sqrt{37}} = 3.288[/tex]
The distribution of the difference is given by:
[tex]\overline{x} = \mu_M - \mu_F = 135.67 - 68.64 = 67.03[/tex]
[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{5.1537^2 + 3.288^2} = 6.1132[/tex]
The margin of error of the interval is given by:
[tex]M = zs[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.
Then, the margin of error is:
[tex]M = zs = 2.575(6.1132) = 15.74[/tex]
The margin of error is of $15.74.
The confidence interval is the point estimate plus/minutes the margin of error, hence:
[tex]\overline{x} - M = 67.03 - 15.74 = 51.29[/tex]
[tex]\overline{x} + M = 67.03 + 15.74 = 82.77[/tex]
The 99% confidence interval for the difference between the two population means is (51.29, 82.77).
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1/2 plus what equals 7/8
To find the number that, when added to 1/2, equals 7/8, you must subtract 1/2 from 7/8. The solution to this problem is 3/8, meaning that 1/2 plus 3/8 equals 7/8.
Explanation:To solve the problem 1/2 plus what equals 7/8, you need to subtract 1/2 from 7/8. This is because you want to find out what number added to 1/2 will give you 7/8. Here is the step-by-step solution:
Convert 1/2 and 7/8 into decimal form. This would be 0.5 and 0.875, respectively. Then subtract 0.5 (which is 1/2) from 0.875 (which is 7/8). This results in 0.375. Then, convert 0.375 back into a fraction. The decimal 0.375 is equal to the fraction 3/8.So, 1/2 plus 3/8 equals 7/8.
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Final answer:
To find the number that when added to 1/2 equals 7/8, convert 1/2 to 4/8 so both fractions have a common denominator. Subtract 4/8 from 7/8, resulting in 3/8. Thus, 1/2 plus 3/8 equals 7/8.
Explanation:
The student is asking us to find the number that, when added to 1/2, equals 7/8. To solve this, we need to find a common denominator, which is 8 in this case. For 1/2, we multiply the numerator and denominator by 4 to convert it to 4/8. Now we have a common denominator, so we can find the missing number.
7/8 - 4/8 = 3/8
Therefore, 1/2 plus 3/8 equals 7/8. This calculation is based on the intuition that a number is needed to bridge the gap between 4/8 and 7/8.
Find the area of the composite figure
Answer:
787.5 cm^2.
Step-by-step explanation:
This consists of a parallelogram and a trapezium.
Area of parallelogram = 23 * 14 cm^2.
Area of the trapezium = 1/2 * (19) * ( 15 + 34)
Total area = 23 * 14 + 1/2 * 19 * 49
= 787.5 cm^2.
A quadrilateral is a polygon with 4 number of sides and 4 vertices. The area of the composite figure is 787.5 cm².
What is a quadrilateral?A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
The area of the composite figure is the sum of the area of the parallelogram ABCD and the area of the trapezoid CDFE.
The area of the parallelogram ABCD is the product of its base and its height, therefore, the product of AP and AD.
[tex]\rm Area\ ABCD = 14 \times 23 = 322\ cm^2[/tex]
The area of the trapezoid is half the product of the sum of its bases and its altitude, therefore, half the product of the sum of DC and EF and the CQ.
[tex]\rm Area\ CDFE = \dfrac{1}{2} \times (15+34) \times 19= 465.5\ cm^2[/tex]
Hence, the area of the composite figure is 787.5 cm².
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You have $3.05. Entirely made of quarters and dimes. How many quarters and dimes are there.
Answer:
11 quarters and 3 dimes
Step-by-step explanation:
25 times 11 is 275
275+ 30= 305
quarter=25
dime= 10
Solve: -10 = 4x pleeeeeeaseeeee
Answer:
x=[tex]\frac{-5}{2}[/tex]
Step-by-step explanation:
Answer: [tex]x=\frac{-5}{2}[/tex]
Flip the equation
[tex]Before:-10=4x\\After: 4x=-10[/tex]
Divide both sides by 4
[tex]4x/4=-10/4\\x=5/2[/tex]
7. If a 12 pack of soda cost Mr. Key $3.84, what would the unit price be for
one can? Write your answer using the constant of proportionality
equation
O
y 3.125x
O y-0.23
O y = 0,32%
y
0.30X
Answer:
32 cents
Step-by-step explanation:
3.84 ÷ 12 = 0.32 so 32 cents
HELP ILL GIVE MOST BRAINLY AND 50 POINTS
HURRY PLEASE
Answer: C Or the third answer
Step-by-step explanation:
You square root it and get x+b/2a=±(√b^2-4ac)/√4a^2 which is the third answer or c
Answer:
Third option
Step-by-step explanation:
(x + b/2a)² = (-4ac + b²)/4a²
Square root both sides
x + b/2a = +/- sqrt(b² - 4ac)/sqrt(4a²)
What value does the 5 represent in the number 0.775
Answer:1000th
Step-by-step explanation:
Can someone help me with this? I will mark you as brainliest!
Answer:
-35
Step-by-step explanation:
replace the blank with variable such as y
now the equation is -2y=70
divide -2 from both sides and you'll get y=-35
therefore the blank is -35
I need help with this question?
Answer:
1.
y = 250x + 700
y = 250(15) + 700
y = 3750 + 700
y = $4450
2.
75 = 12x
75/12 = x
6.25 = x
6 1/4 days
Step-by-step explanation:
IF THIS ANSWER HELPS YOU, PLEASE MARK IT AS BRAINLIEST!
1. Lynn has learned that she will need to save $1 million dollars to support her current lifestyle if she
retires in 15 years. Lynn jiad not thought about planning for retirement until now. If she begins
saving now, she will need to save approximately $67,000 per year. Based on her annual income of
$75,000, this goal is not attainable. How would Lynn's retirement be affected if she had understood
the importance of planning for retirement earlier?
Answer:
Given 40 years of time to plan in advance for retirement, Lynn would only need to save $25000 per year to end up with $1 million, which is attainable.
Step-by-step explanation:
Lets say that she starts planning for retire with 40 years in advance instead of just 15, if that is the case, then she would need to save $1.000.000/40 = $25.000 per year, which is a pretty big ammount but it is much more attainable than $67000, since it is only a third of her annual income.
Brian has reduced his cholesterol level by 16% after his last check up. If his original level was 200, what is his cholesterol level now?
Answer:
32 is his cholesterol
Step-by-step explanation:
Find an explicit formula for the geometric sequence 96,24,6,1.5,...
Answer: 96 / 4 ^n-1
Step-by-step explanation:
This is a geometric sequence with a first term of 96. The common ratio is the division of the 2nd term by the first term. This will be:
24/96 = 1/4
a = 96
r = 1/4
The formula will be:
ar ^n-1
= 96 × (1/4)^n-1
The concluding part is explained in the attached file.
Answer:
96(1/4)^n-1
Step-by-step explanation:
True or false:(6.9×10^8) (3.1×10^8)=2.139×10^17.
A true
B false
Answer:
True
Step-by-step explanation:
Answer:
i believe true
Step-by-step explanation:
i worked it and i got the same answer
A roll of plastic electrical tape costs 2.79$. If the sales tax rate is 5% then how much sales tax is being charged?
Answer:
$0.1395
Step-by-step explanation:
$2.79 x 0.05 = 0.1395
Answer:
14¢
Step-by-step explanation:
To solve this problem, we need to multiply 2.79 by 5%.
First, lets change 5% into a decimal as shown below:
5% -> [tex]\frac{5}{100}[/tex] -> 0.05
Now, lets multiply 2.79 by 0.05:
[tex]x=2.79(0.05)[/tex]
[tex]x=.1395[/tex]
The last step is to round our number. 0.1395 rounded to the nearest hundredth gives us .14 (14¢)
The sales tax being charged is 14¢
The area of a parallelogram is 6 square units. Both the height and the length of the base are whole numbers. What are the possible lengths and heights?
Answer:
Step-by-step explanation:
The factor pairs of 6 are 1×6 and 2×3
So the parallelogram (height by length) could be:
1 by 6
2 by 3
3 by 2
6 by 1
The possible lengths and heights of the parallelogram are 1 unit by 6 units, 2 units by 3 units, 3 units by 2 units, and 6 units by 1 unit.
Explanation:In order to find the possible lengths and heights of the parallelogram, we need to consider the factors of 6. The factors of 6 are 1, 2, 3, and 6. Since both the height and length of the base are whole numbers, we can use these factors to find the different combinations:
Base length: 1 unit, Height: 6 unitsBase length: 2 units, Height: 3 unitsBase length: 3 units, Height: 2 unitsBase length: 6 units, Height: 1 unitLearn more about possible lengths and heights of the parallelogram here:https://brainly.com/question/35703226
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i’ll mark brainlest if you get right
Answer:
m<t=113
Step-by-step explanation:
42+92+2x=360
x=113
m<t=113
Answer:
46
Step-by-step explanation:
bc you take 92+42 which is 134 then you take 134 nd subtract it from 180 and you get 46
What is the measure of JL (the minor arc)?
Answer:
164°
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\overset {\frown} {JL} = 2 \times m\angle JKL\\
\therefore m\overset {\frown} {JL} = 2 \times 82°\\
\huge \red {\boxed {\therefore m\overset {\frown} {JL} = 164°}} \\ [/tex]
Answer:
164
Step-by-step explanation:
I learned about it.
PLEASE ANSWER!!!!!!!!!!
Which is the best estimate for 19% of 205?
Answer:
38.95
Step-by-step explanation:
[tex] \frac{19}{100} \times 205 = 38.95[/tex]
The 19 percentage of the number 205 is 38.95
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage value of the number be represented as A
Now , let the number be n = 205
Let the percentage be = 19 %
So , the value of A = n ( 19 % )
On simplifying , we get
A = 205 ( 19/100 )
A = 38.95
Therefore , the value of A is 38.95
Hence , the percentage value is 38.95
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Identify the percent amount and base in this problem
75% of what number is 30%?
Answer:
2/5 or 0.4
Step-by-step explanation:
Let the number be x
75% of x = 30%
[tex]\frac{75}{100}*x=\frac{30}{100}\\\\x =\frac{30}{100}*\frac{100}{75}\\\\x=\frac{30}{75}\\\\x=\frac{2}{5}[/tex]
Translation,rotation,reflection or dilation?
Answer:
I believe this would be a translation
Step-by-step explanation:
Answer:
Translation
Step-by-step explanation:
You didn’t flip it you just moved it
Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 20%. Which of these
groups of numbers could represent a success?
O A. 0,1,2,3
O B. 0,1
O c. 0,1,2
OD. 0,1,2,3,4
Answer:
c:0,1
Step-by-step explanation:
The correct groups of numbers could represent a success are,
⇒ 0, 1
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. 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;
A randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 20%.
Hence, If you want to represent a 20% chance of success, then 2 of the 10 possible numbers need to represent success. It is convenient to use the numbers 0 and 1 for the purpose.
Thus, The correct groups of numbers could represent a success are,
⇒ 0, 1
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The table below shows the amount that a catering company charges based on the number of people at an event. Which of the following equations
shows the relationship between the amount the company charges based on p, the number of people at the event?
Total Charge (c)
$400
People (p)
25
50
75
100
$725
$1,050
$1,375
c = 75p + 13
C = 13p+75
p = 130 + 75
C = 16p
Answer:
Answer
Step-by-step explanation:
Step-by-step explanation
The equation [tex]\( c = 75p + 13 \)[/tex] best represents the relationship between the amount charged and the number of people.
Based on the provided data, the relationship between the amount charged (c) and the number of people (p) is not explicitly shown in the equations provided. However, the closest equation that reflects the relationship is:
[tex]\[ c = 75p + 13 \][/tex]
This equation represents a linear relationship where the total charge (c) increases by $75 for every additional person (p), with an initial charge of $13. Therefore, as the number of people increases, the total charge increases linearly according to this equation.