A simple random sample of 85 students is taken from a large university on the West Coast to estimate the proportion of students whose parents bought a car for them when they left for college. When interviewed, 51 students in the sample responded that their parents bought them a car. What is a 95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
Answers
Answer:
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
(0.4958 , 0.7041)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 85
The sample proportion
\(p = \frac{x}{n} = \frac{51}{85} = 0.6\)
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
\((p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.05} \sqrt{\frac{p(1-p)}{n} })\)
Step(ii):-
Given that the level of significance
α = 0.05
Z₀.₀₅ = 1.96
\((0.6 -1.96 \sqrt{\frac{06(1-06)}{85} } , 0.6 +1.96 \sqrt{\frac{0.6(1-0.6)}{85} })\)
(0.6 - 0.104138 , 0.6 +0.104138)
(0.4958 , 0.7041)
Final answer:-
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
(0.4958 , 0.7041)
Related Questions
H(x)=2x+10
Whst is h(10) ?
Answers
Answer:
30
Step-by-step explanation:
h(10) = 2*10 + 10 = 30
Suppose that the distribution of monthly revenues of a new startup business is not symmetric.
According to Chebyshev's Theorem, at least approximately what percentage of the revenues are within k=3.3 standard deviations of the mean?
Answers
According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.
What is Chebyshev's Theorem?
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.
According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.
So when k = 3.3
1 - 1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%
Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.
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geometry NEED HELP ASAP THX
Answers
By consideration of congruence and collinearity, the value of x behind the geometric system formed by two collinear linear segments is equal to 3 / 8.
What is the value of the variable behind a geometric system formed by two collinear line segments?
Two line segments are congruent when the line segments have the same length, then the following condition has to be fulfilled:
AB = BC (1)
Where AB and BC are the lengths of the line segments AB and BC.
If we know that AB = 4 · x + 1 and BC = 20 · x - 5, then we solve the equation for x is:
4 · x + 1 = 20 · x - 5
6 = 16 · x
16 · x = 6
x = 6 / 16
x = 3 / 8
Then, the value of x behind the geometric system formed by two collinear linear segments is equal to 3 / 8.
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Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
Answers
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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Hey can I get some help real quick
Answers
Answer: sure, with what though?
Step-by-step explanation:
can someone please help me
Answers
Answer:
E
Step-by-step explanation:
\sqrt 6 is an irrational number, as it cannot be written as the ratio of 2 numbers.
It is also a real number, as it does not include the square root of a negative number.
Therefore, E is the correct option.
Someone please help me on this question I have to get 100 and I will give you Brainless and I did not mean to pick B
Answers
Answer:
option A
Step-by-step explanation:
The concept of parallel refers to lines that are perfectly relative to another
if you want to memorize this concept. always think of the EQUAL sign.
=
the equal sign has two lines that are perfectly horizontal. no matter if they are inclined, both lines reflect each other.
Which statement is true about the graphed function
Answers
Determine whether each of the following provides enough information to prove that △SQP ≅ △SQR. Select Yes or No for each statement.
Q is the midpoint of PR.
∠P ≅ ∠R
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ
Answers
For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.
What is triangle?
A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.
Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:
Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.
∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.
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0.5x+2 is it a linear function? yes or no
pls help
Answers
Answer:
yes
Step-by-step explanation:
when graphed it is a non vertical line.
Please helpppppp NEED ANSWERS ASAP
Answers
Answer:
Step-by-step explanation:
if i new i would tell you but im haveing the same problem
simplify:
x² - 25
x²-3x -15
Answers
Answer:
x² - 25=(x-5)(X+5)
x²-3x -15=5.6 or. -2.6
martha went to store $75.00 she bought 3 pairs of socks for $4.00 each she bought 4 cases of water for $4.00 each.she also bought a skirt for $21.00.how much money did she have left?Write as equation with parentheses and brackets
Answers
Solution
For this case the inital amount was $75.00
We can find the individual costs like this:
C1= 4$ * 3= 12.00
C2= 4$* 4= 16.00
C3 = 21.00$
Then total cost= 12+16+21= 49$
Then the amount of money left is:
75.00 -49.00 $= 26.00$
When 2 dice are rolled, the sum of both faces is calculated. Determine the
probability of the event: Rolling a sum of 10. Justify your answer.
Answers
Answer:
3/36 or 1/12
Step-by-step explanation:
there are a possible 36 outcomes
probability of rolling a ten has 3 chances of happening:
5, 5
4, 6
6, 4
If you dealt 4 cards from a shuffled deck of 52 cards without replacement, what is the probability that all 4 cards are face cards?.
Answers
The probability that all 4 cards are face cards is 0.00182842367.
The face cards are the King, Queen, and Jack (sometimes known as the Knaves). There are 12 face cards in the 52-card deck of playing cards.
The cards are drawn without replacement,
The probability of getting a face card in first draw is 12/52.
As it is without replacement, in the second draw the probability is 11/51.
In third draw, it is 10/50.
In the fourth draw the probability is 9/49.
We have to draw all the four cards, so we multiply the probabilities, to get the final probability.
=12/52x 11/51 x 10/50 x 9/49
=0.00182842367.
Therefore, the probability that all 4 cards are face cards is 0.00182842367.
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A teacher has an annual income of $55,125.
The income tax the teacher has to pay is
6%. What is the amount of income tax in
dollars and cents that the teacher has to
pay?
FOR BRAINLIST!!
Answers
Answer:
A - 3307,50
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
10. While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (4m +11) fireflies and your friend has (5m +6) fireflies
A. Write an expression in simplest form that represents the number of fireflies you and your friend caught together.
B. The competition ends after 5 minutes(m). Who has more fireflies. Explain how you know.
Answers
Answer:
Lets look at the expressions with respect to the competition parameters:
Expressions:
You(Y) =4m+11
Friend(F)=5m+6
1. The competition begins AFTER you and friend already caught some flies. This would be represented by the CONSTANT terms in each expression (in this case, 13 for you, 6 for friend).
So the number of flies caught BEFORE THE COMPETITION would be...
11+6=17 flies total
2. The competition length was "m" minutes long when flies are caught and counted. This would be represented by the VARIABLE terms in each expression (in this case, 4m for you, 5m for friend). We are not given a numeric value for the variable "m" to evaluate.
So the number of flies caught DURING THE COMPETITION (timed "m" minutes long) would be....
4m+5m=9m flies total
...and the number of flies per minute would be calculated as......
9m÷m=9 flies per min....total #flies divided by total minutes
3. If the problem asked for the total number of flies caught by you and friend, before and after the competition....
9m+17 flies total.....add like terms in each expression.
Answer:
a. 9m+17
b. You caught more fireflies
Step-by-step explanation:
Determine a definite integral that represents the area of the region in the fourth quadrant enclosed by r = 10 - cos (C). Provide your answer below: de
Answers
The definite integral which represents the area of the region in the fourth quadrant enclosed by r = 10 - cos is A = 210π - 80/8
Given:
the area of the region in the fourth quadrant enclosed by r = 10 - cos
we know that:
A = (limit a to b)∫ r²/2 dθ
we know that area of first quadrant = area of fourth quadrant (by symmetry)
A = (limit θ=0 to π/2)∫ (1-cosθ)²/2 dθ
= (limit θ=3π/2 to 2π)∫ (1-cosθ)²/2 dθ
A = 1/2(limit 0 to π/2)∫ (100 - 20cosθ + cos²θ)dθ
A = 1/2 (limit 0 to π/2)∫ (100 - 20cosθ + 1/2 + cos2θ/2)dθ
= 1/2 (limit 0 to π/2) ∫ (201/2 - 20cosθ + cos2θ/2)dθ
= 1/2 ( 201/2 θ- 20sinθ + sin2θ/4) limit π/2 to 0
= 1/2 ( 201π/4 - 20 + 0)
= 1/2 ( 210π - 80/4)
Hence we get the required answer.
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what is 9-3b-3=and can you pls show how
Answers
we have the expression
9-3b-3
step 1
Group terms
(9-3)-3b
step 2
Combine like terms
6-3b
step 3
simplify
Factor 3
3(2-b) or 6-3bHi I dont really understand this question please could somebody help?
Answers
1. Select the equations that are true.In the figure shown, lines f and g are parallel.1. Circle all equations that are true.456A. mZ3+ m25 = 180 because they are a linear pair.B. m3 = m25 because they are alternate interior angles.C. m 3 = m_2 because they are vertical angles.D. m 2+ m24 = 180 because they are a linear pair.E. m24 = mZ5 because they are alternate interior anglesF. mZ1 = m28 because m25 = m28 are vertical anglesand mZ1 = m25 are corresponding anglesG. m27 = m_3 because they are corresponding angles.
Answers
As shown at the graph:
Annette has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph , how long should she plan to spend walking back?
Answers
Answer:
Annette should plan to spend 2.25 hours walking back.
Step-by-step explanation:
To solve this problem, we can use the formula:
Time = Distance / Speed
Let's assume the distance of the race is D miles.
Annette spends her time running the distance of the race, which takes:
Time running = D / 9 hours
She then walks back the same distance, which we need to find the time for:
Time walking = D / 3 hours
Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:
D / 9 + D / 3 = 3
To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:
D + 3D = 27
Combining like terms:
4D = 27
Dividing both sides of the equation by 4:
D = 6.75
So, the distance of the race is 6.75 miles.
To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:
Time walking = D / 3 = 6.75 / 3 = 2.25 hours
Therefore, Annette should plan to spend 2.25 hours walking back.
an object has a mass of 24 grams and a volume of 6cm3. what is the density
Answers
Answer:
4 grams
Step-by-step explanation:
1. The slant height of a cone is 5cm and the radius of its base is 3cm. Find correct to the nearest
whole number the volume of the cone (A) 48cm3 (B) 47cm3 (C) 38cm3 (D)13cm3
Answers
The volume of the cone is 13 cm³. option D
How to determine the volumeTo determine the volume of the cone, we have that;
The formula for calculating the volume of a cone is expressed as;
Volume = (1/3)πr ²√(L ² - r ²).
Such that;
r is the radiusL is the slant heightSubstitute the values, we have;
Volume = 1/3 × 3.14 ² × √(25 - 9)
Find the squares, we get;
Volume, V = 1/3 × 9. 86 × √16
Find the square root
Volume, V = 1/3 × 9.86 × 4
Volume, V = 13 cm³
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For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
63,16
Answers
9 x 7 = 63
9 + 7 = 16
Write a function rule for
Answers
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
Find the output, y, when the input, x, is -9.
y =
Answers
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
1. Jenna makes $96,000 per year working for an online e-magazine. Her company offers a 401K retirement plan in which they will match 45% of her contributions
to the 401K up to 9% of her salary. The company will only allow employees to make contributions to the 401K to a maximum of 25% of their salary. For the year
in question, the maximum allowable contribution to any 401K is $22,000 since she is over the age of 55.
a) What is the maximum Jenna's employer will allow for her contribution?
b) What is the maximum contribution she could make?
c) What is her employer's maximum contribution amount?
Answers
Answer:
a) The maximum Jenna's employer will allow for her contribution is $24,000.
b) The maximum contribution she could make is $22,000.
c) Her employer's maximum contribution amount is $8,640.
Step-by-step explanation:
a) What is the maximum Jenna's employer will allow for her contribution?
The maximum Jenna's employer will allow for her contribution = Jenna's annual salary * Maximum percentage allowed by her employer = $96,000 * 25% = $24,000
b) What is the maximum contribution she could make?
The maximum contribution she could make = The maximum allowable contribution to any 401K for the year in question = $22,000
c) What is her employer's maximum contribution amount?
Her employer's maximum contribution amount = Jenna's annual salary * 9% = $96,000 * 9% = $8,640
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
Answers
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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Plz help me well mark brainliest if correct........?.??..?.?.?
Answers
Answer:
the answer is a
Step-by-step explanation: