Answer:
0.3. and 2
Step-by-step explanation:
For this equation: a=1, b=0.3333333333333333, c=0.8333333333333334
1x2+0.333333x+0.833333=0
Step 1: Use quadratic formula with a=1, b=0.3333333333333333, c=0.8333333333333334.
x=
−b±√b2−4ac
2a
x=
−(0.333333)±√(0.333333)2−4(1)(0.833333)
2(1)
x=
−0.3333333333333333±√−3.222222
2
i think this is right :)
find the value of sec (θ) for an angle θ in standard position with a terminal ray that passes through the point (4, -3)
Answer:
d. 5/4
Step-by-step explanation:
The secant of an angle with a terminal ray through the point (4, -3) is the distance to the origin divided by the x-coordinate, or
[tex]\sqrt{4^{2}+(-3)^2}[/tex] / 4 = 5/4
Answer:
d. 5/4
Step-by-step explanation:
(4,-3) is in quadrant 4
cos/sec is positive in this quadrant
Hypotenuse = sqrt(3² + 4²)
sqrt(25)
5
cos(theta) = 4/5
sec(theta) = 5/4
Ms. Lindsey surveyed a random sample of students at her school to determine how they got to school. The results are shown below: ∙ 8 students walk or ride a bike ∙ 12 students ride in a car ∙ 25 students take the bus Based on the results of the survey, how many of the 900 students in 7th grade do NOT take the bus to school? Please explain I'm very confused.
What are the solutions to the quadratic equation 4x^2 = 64?
Answer: 4x^{2} =64
x^{2} =16
x= \sqrt{16}
The square root of 16 is either positive four or negative four.
Answer:
x = 4 or x = -4
Step-by-step explanation:
4x² = 64
4x² - 64 = 0
(2x + 8) (2x - 8) = 0
x = ± 4
What effect does a negative have when placed Inside the parentheses?
Answer: it makes a horizontal shift. for example: (x-4) means the graph moved 4 units to the RIGHT.
Step-by-step explanation: it is essentially the opposite of what you think if it's inside the parenthesis.
A fish tank contains as many goldfish as mollies, and there are 6 more guppies than goldfish. If the total combined number of fish in the tank is 22, how many mollies are in the tank?
Answer:
8 mollies
Step-by-step explanation:
22-6=16
16/2=8 mollies
Answer:
5
Step-by-step explanation:
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
(Figure is not drawn to scale.)
Which of the following options is closest to the distance (in miles) between points A and B? (5 points)
Group of answer choices
3.46 miles
4.24 miles
4.90 miles
5.92 miles
Answer:
It’s in between a and b
Step-by-step explanation:
Answer:
i believe the answer is a
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 162 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for It.
Answer:
21
Step-by-step explanation:
To find the area of a cylinder you mutliply radius by height.
r*h = 162
If we know the height is 7.7, substitute it for h.
r*7.7 = 162.
Or:
162 / 7.7
Which gives you 21.03, or 21.
Find the value of x that makes m ∥ n.
Answer:
x = 40
Step-by-step explanation:
In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:
3x = 120
Divide both sides by 3 to get:
x = 40
Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days.
Answer:
P ( x_bar ≥ 51 ) = 0.0432
Step-by-step explanation:
Solution:-
- The random variable "X" denotes:
X : life expectancies of a certain protozoan
- The variable "X" follows normal distribution.
X ~ Norm ( 48 , 10.5^2 )
- A sample of n = 36 days was taken.
- The sample is also modeled to be normally distributed:
x ~ Norm ( 48 , ( 10.5 / √n)^2 )
- The sample standard deviation s = 10.5 / √n = 10.5 / √36
s = 1.75
- We are to investigate the the probability of sample mean x_bar ≥ 51 days:
P ( x_bar ≥ 51 )
- Standardize the results, evaluate Z-score:
P ( Z ≥ ( x_bar - u ) / s ) = P ( Z ≥ ( 51 - 48 ) / 1.75 )
P ( Z ≥ 1.7142 ).
- Use the standardized normal table and evaluate:
P ( Z ≥ 1.7142 ) = 0.0432
Hence, P ( x_bar ≥ 51 ) = 0.0432
The correct probability is approximately 0.0477.
Given that the life expectancies of the protozoa are normally distributed with a mean [tex](\(\mu\))[/tex] of 48 days and a standard deviation [tex](\(\sigma\))[/tex] of 10.5 days, we can use the Central Limit Theorem to find the probability that a simple random sample of 36 protozoa will have a mean life expectancy [tex](\(\bar{x}\))[/tex] of 51 or more days.
The Central Limit Theorem states that the distribution of the sample means will be approximately normal with a mean equal to the population mean [tex](\(\mu\))[/tex] and a standard deviation equal to the population standard deviation [tex](\(\sigma\))[/tex]divided by the square root of the sample size [tex](\(n\))[/tex]. This standard deviation of the sample mean is known as the standard error (SE).
First, we calculate the standard error (SE) of the mean:
[tex]\[ SE = \frac{\sigma}{\sqrt{n}} = \frac{10.5}{\sqrt{36}} = \frac{10.5}{6} \approx 1.75 \][/tex]
Next, we find the z-score for a sample mean of 51 days. The z-score is calculated as follows:
[tex]\[ z = \frac{\bar{x} - \mu}{SE} = \frac{51 - 48}{1.75} = \frac{3}{1.75} \approx 1.71 \][/tex]
Now, we look up the z-score of 1.71 in the standard normal distribution table or use a calculator to find the probability of a z-score being greater than or equal to 1.71. This gives us the area to the right of the z-score.
Using a standard normal distribution table or calculator, we find that the area to the right of a z-score of 1.71 is approximately 0.0438. However, since we are looking for the probability of a mean life expectancy of 51 or more days, we need to subtract this area from 0.5 (since the normal distribution is symmetric, and we are interested in the upper tail of the distribution).
[tex]\[ P(\bar{x} \geq 51) = 0.5 - P(z < 1.71) \approx 0.5 - 0.0438 = 0.4562 \][/tex]
However, this calculation is slightly off due to rounding errors. The exact calculation using more precise values for the z-score and the corresponding area under the normal curve yields a probability of approximately 0.0477.
Therefore, the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days is approximately 0.0477.
How is it no solution? And how can I tell from just looking? PLEASE HELO ASAP!
Answer:
A square root can never be negative.
Answer:
You can't get a negative number as the result of square rooting something - this is just impossible. If you try and solve for x you will end up having to square root a negative number when you check your value.
Dan buys a car for £700. It depreciates at a rate of 5.5% per year. How much will it be worth in 6 years? Give your answer to the nearest penny where appropriate.
The correct answer is:
£498.53
Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yellow disks numbered 7 through 8, find the probability of selecting a red disk, given that an odd-numbered disk is selected.
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Total number of red disk=6
Total number of yellow disk=2
Total disk=6+2=8
Odd number=1,3,5,7=4
Odd number on red disk=1,3,5=3
Probability,[tex]P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}[/tex]
Using the formula
The probability of getting odd number disk=[tex]\frac{4}{8}=\frac{1}{2}[/tex]
The probability of getting odd numbered red disk=[tex]\frac{3}{8}[/tex]
The probability of selecting a red disk,given that an odd numbered disk is selected=[tex]\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}[/tex]
Using conditional probability
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
For this question please tell me if I'm right or wrong. If I'm wrong please correct me.
Please use the following image below in order to answer the question correctly:
Tell whether NM is best described as a radius, chord, diameter, secant, or tangent of ⊙P.
What can NM be best described as?
Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)
Answer:
NM would actually represent a chord. Tangent are lines that would be outside of the circle.
Answer:
B) chord
Step-by-step explanation:
NM are two points on the circumference and the segment doesn't pass through the centre, so it's a chord
There are 5280 feet in a mile. What fraction is represented by 240 feet?
Final answer:
To find the fraction represented by 240 feet out of 5280 feet (a mile), set up a proportion: 240 feet/5280 feet = x/1. Cross multiplying gives x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.
Explanation:
To find the fraction that is represented by 240 feet out of 5280 feet (which is the length of a mile), we can set up a proportion. Let's call the fraction we're looking for x. The proportion is:
240 feet/5280 feet = x/1
Cross multiplying, we have 240 * 1 = 5280 * x. Simplifying, we get x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.
2. A medical study tests a new cough medicine on 4250 people. It is effective for 3982 people. What is the experimental probability that the medicine is effective? For a group of 9000 people, predict the approximate number of people for whom the medicine will be effective.
Answer:
For a 9000 people, the approximate number of people for whom the medicine will be effect is 8432 people
Step-by-step explanation:
Here we have probability is given by
Probability = [tex]\frac{Number\, of \, Success}{Number\, of \, Trials}[/tex] Where:
Number of success = 3982 and
Number of trials = 4250. therefore;
[tex]Probability \, of \, Success = \frac{3982}{4250} = \frac{1991}{2125}[/tex]
Therefore, when the medicine is used on 9000 people, the approximate number of people for whom the medicine will be effect is given by;
[tex]\frac{1991}{2125} = \frac{x}{9000} \rightarrow x \times2125 = 1991 \times 9000\\x = \frac{1991 \times 9000}{2125} = \frac{143352}{17} = 8432\frac{8}{17}[/tex]
or ≈ 8432 people.
Due to a manufacturing error, 2 cans of regular soda were accidentally filled with diet soda and placed into a24 -pack.
Suppose that two cans are randomly selected from the 24-pack. Complete parts (a) through (c).
(a) Determine the probability that both contain diet soda.
P(both diet) = (Round to four decimal places as needed.)
(b) Determine the probability that both contain regular soda.
P(both regular) = (Round to four decimal places as needed.)
Would this be unusual?
No
Yes
(c) Determine the probability that exactly one is diet and exactly one is regular.
P(one diet and one regular) = (Round to four decimal places as needed.)
Answer:
a) 1/48 or 2.0833%
b) 46/48 or 95.8333%
no it would not be unusual
c) I'm not sure sorry
I’ll give thanks to those that help of course. I promise
Answer: 74
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
73+ 21
If you vertically stretch the exponential function f(x) = 2^x by a factor of 5, what is the equation of the new function?
A. g(x) = 1/5 x 2^x
B. g(x) = 5 x 2^x
C. g(x) = 2 x 5^x
D. g(x) = 2^5x
Answer:
B
Step-by-step explanation:
In this case we multiply the function f(x) = 2^x by 5, so the correct answer is B.
The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2. How does the amount of fabric needed for Robs costume compare to the amount needed for jimmys costume ?Explain
The amount of fabric needed for Jimmy's costume is not stated, we can only determine the amount needed for Rob's costume, which makes it impossible to compare the amounts needed for both of their costumes. If this omission was an error, then you can find the difference between these amounts if the amount needed for Jimmy's costume is stated explicitly.
Step-by-step explanation:
The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2
Assuming 1 3/4 is a mixed fraction.
= (7/8 + 1/2 + 7/4) ÷ 2
= (7 + 4 + 2) ÷ (8 × 2)
= 13/16 yards
Suppose 2 yards of fabric is needed for Jimmy's costume, then comparing with Rob's yards, we see that Jimmy's costume requires (2 - 13/16 = 19/16) more yards than Rob's costume.
7.97 as a mixed fraction and a improper fraction
Answer:
7 97/100
797/100
Step-by-step explanation:
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
The probability that a person who uses the gym and the track does not use the swimming pool is 3/4.
Explanation:We are asked to find the probability that a person who uses the gym and the track does not use the swimming pool. The number of people who use both the gym and the track is 16. Among these, 4 also use the pool, which means that 16 - 4 = 12 people use just the gym and the track, and not the pool. The probability that a randomly selected person who uses the gym and the track does not use the pool is calculated as the number of gym-and-track users who don't use the pool divided by the total number of gym-and-track users, which is 12/16 or 3/4.
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction A.The coefficient of the solution is 6.4, the difference of the original coefficients. B.The exponent of the solution is –12, the difference of the original exponents. C.The coefficient of the solution must be greater than or equal to one but less than 10. D.The quotient is 3.0 × 10-12 E.The solution is a very large number.
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 × [tex]10^{-12}[/tex]
Step-by-step explanation:
We are finding the quotient of the expression below in scientific notation
[tex]\dfrac{9.6X10^{-8}}{3.2X10^4} \\=\dfrac{9.6}{3.2}X10^{-8-4}\\ =3 X 10^{-12}[/tex]
The following conclusions can be drawn
B.The power of 10 in the solution is –12, the difference of the original exponents.
C.The coefficient is 3, which is greater than or equal to one but less than 10.
D.The quotient is 3.0 × [tex]10^{-12}[/tex]
for what value of x does the function y=2/3x+1 have the same x and y coordinate
Answer:
3
Step-by-step explanation:
[tex]y=\frac{2}{3}x +1[/tex]
If [tex]x[/tex] is 3, then
[tex]y =\frac{2}{3}(3) +1[/tex]
[tex]y=2+1[/tex]
[tex]y=3[/tex]
Both [tex]x[/tex] and [tex]y[/tex] equal 3. So, the value of [tex]x[/tex] must be 3 for the function to have the same coordinate for [tex]x[/tex] and [tex]y[/tex].
John asked the players on his hockey team their height in
inches and listed the results below. What is the range of
the data set? Round to the nearest tenth when necessary
76, 72, 70, 68, 72, 62
Answer:
70
Step-by-step explanation:
3(n+2)=9(6-n)
help me please
Answer:
n=4
Step-by-step explanation:
3n+6 = 54-9n
3n+9n = 54 - 6
12n = 48
n=4
Answer:
4
Step-by-step explanation:
3n+6=54-9n
3n+9n=54-6
12n=48
n=48/12
n=4
MARK AS BRAINLIESTAND FOLLOWStudents in a college statistics class want to conduct a survey to determine the percentage of students in the school who are willing to pay a fee for participating in extracurricular activities. thirty students are randomly selected to complete the survey from each of the freshman, sophomore, junior, and senior classes. this plan is an example of which type of sampling?
a. convenience sampling
b stratified sampling
c. simple random sampling
d.a cluster sampling
b. stratified sampling
The plan to determine the percentage of students in a school willing to pay a fee for participating in extracurricular activities is an example of stratified sampling. In stratified sampling, the population is divided into subgroups or 'strata' that share similar characteristics, and a random sample is taken from each stratum. In this case, the classes (freshman, sophomore, junior, and senior) serve as the strata, and thirty students from each class are randomly selected to complete the survey. This approach ensures that each subgroup is adequately represented in the sample, making the results more reflective of the entire school population.
A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.
(c) Two straight lines are displayed on a coordinate plane. Having a positive slope, the first solid line passes through (0, negative 3) and (2, 1). Shaded areas surround the line to the right. The second dashed line travels through (0, 2) and has a negative slope (4, 0). Shaded areas surround the line to the left.
What is the coordinate plane?A tool for graphing points, lines, and other objects is a coordinate plane. It follows directions from one place to another as a map might.
Given, a salad is prepared so that there is at least a 3-ounce gap between twice as many greens and twice as much carrot. Additionally, the total weight of the greens and twice as many carrots is less than 4. Hence,
2g - c = 3....(1)
g + 2c < 4.....(2)
Comparing both equations
intersecting Coordinates of g and c will be(2, 1 ).
Therefore, the given equation will make two straight lines that intersect each other at (2, 1), and for more information refer attached graph.
Learn more about coordinate planes here:
https://brainly.com/question/16045918
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A builder is putting in a circular patio. Find the circumference by using 22/ 7 as an estimate for . What is the circumference if the radius is 5 yards.
Answer:
110/7 yards
Step-by-step explanation:
Given:-
- The radius of circular patio, r = 5 yards
Find:-
What is the circumference of circular patio
Solution:-
- The circumference "C" of a circle is given as:
[tex]C =2 *\pi*r\\\\\pi = \frac{22}{7} \\\\ C = 2*\frac{22}{7}*5\\\\C = \frac{110}{7} yards[/tex]
- The circumference of the circular patio is 110 / 7 yards.
what is the slope of a line perpendicular to the line whose equations is x-y=-3?
The slope of a line perpendicular to the line with equation x - y = -3 is -1, as perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the line perpendicular to the line whose equation is x - y = -3 can be found by first writing the equation in the slope-intercept form (y = mx + b) to determine the slope of the given line. By rearranging the given equation to y = x + 3, we can see that the slope (m) of the line is 1. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of a line perpendicular to this one would be the negative reciprocal of 1, which is -1. Therefore, the slope of the line perpendicular to the line with equation x - y = -3 is -1.
t is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is 25 74 189 75 None of the above answers is correct
Answer:
The sample size needed to be taken is approximately 74.
Step-by-step explanation:
To get alpha; we have 1 - 0.95 = 0.05
Therefore, [tex]z_{\frac{a}{2} } = \frac{0.05}{2} = 0.025[/tex]
The we look up z* in a Standard Normal table where α = 0.025 area in each tail.
From the table, z* = 1.96
From the question variance is 484, then the standard deviation is 22
Standard deviation = [tex]\sqrt{Var(x)} = \sqrt{484} = 22[/tex]
And margin of error is 5 or less
The formula for margin of error is given as:
margin of error = [tex]\frac{(z^{*}) (SD)}{\sqrt{n} }[/tex]
[tex]5 = \frac{1.96 * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n} = 43.12\\(5)^{2} * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n = 1859.3344\\\frac{25n}{25} = \frac{1859.3344}{25} \\n = 74.373376\\n = 74[/tex]
The approximate value of n is 74.