Though 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. In the GSS 2014, respondents were asked to indicate their level of agreement to the statement: "A working mother hurts children". Of the 435 male respondents who answered the question, 18% strongly agreed that a working mother does not hurt children. a, What is the 90% confidence interval for this statistic for males? b. Of the 566 respondents who answered the question, 40% strongly agree that a working mother does not hurt children. What is the 90% confidence level for this statistic?
Answers
a) The 90% confidence interval for this statistic for males is of: (0.1497, 0.2103).
b) The 90% confidence level for this statistic is of: (0.3661, 0.4339).
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.
For males, the parameters are given as follows:
\(\pi = 0.18, n = 435\)
Hence the lower bound of the interval is given as follows:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 - 1.645\sqrt{\frac{0.18(0.82)}{435}} = 0.1497\)
The upper bound of the interval is of:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 + 1.645\sqrt{\frac{0.18(0.82)}{435}} = 0.2103\)
For the statistic, the parameters are given as follows:
\(\pi = 0.4, n = 566\)
Hence the lower bound of the interval is given as follows:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.645\sqrt{\frac{0.4(0.6)}{566}} = 0.3661\)
The upper bound of the interval is of:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.645\sqrt{\frac{0.4(0.6)}{566}} = 0.4339\)
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Related Questions
In the accompanying diagram of circle O, diameter AOB is extended through B to external point p, tangent PC is drawn to point C on the circle, and mAC: mBC= 7:2. Find m CPA
Answers
The value of angle CPA in the intersecting chords AP and CP is determined as 50⁰.
What is the value of angle CPA?The value of angle CPA is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
If line AOB is the diameter, then arc AB = 180 (sum of angles in a semi circle)
Based on intersecting chord theorem we will have the following equation;
m∠CPA = ¹/₂ (arc AC - arc BC) ----- ( 1 )
Also, AC + BC = 180 ----- (2)
From question we also have;
AC : BC = 7:2
AC/BC = 7/2
AC/BC = 3.5
AC = 3.5BC ------- (3)
Substitute (3) into (2);
3.5BC + BC = 180
4.5BC = 180
BC = 180/4.5
BC = 40⁰
AC = 3.5BC = 3.5 x 40 = 140⁰
The value of angle CPA is calculated from equation (1);
m∠CPA = ¹/₂ (arc AC - arc BC)
m∠CPA = ¹/₂ (140 - 40)
m∠CPA = 50⁰
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1 kilometer equaks how many meters
Answers
Answer:
the answer is 1000 metres
Explanation) Kilo means 1000
MMMMMMMMMMMMMMMMMMMMATH
Answers
Answer:
Step-by-step explanation:
(18 - 6)/(4-2)= 12/2= 6 slope
y - 6 = 6(x - 2)
y - 6 = 6x - 12
y = 6x - 6
y int= (0, -6)
Evelyn has 36 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 154 square meters. List each set of possible dimensions (length and width) of the field.
Answers
The possible dimensions (length and width) of the field which is rectangle are (26m, 5m) or (5m, 26m) and (28m, 4m) or (4m, 28m)
Let's assume the length of the rectangle be L and the width be W.
We know that we have three sides of the rectangle to fence, so the total length of the fence will be L+2W = 36m.
Also, we know the area of the rectangle = L×W = 154 sq.m
Using the two equations above, we can solve for L and W as follows:
L = 36 - 2W (from the first equation)
Substituting this value of L in the second equation:
(36 - 2W)W = 154
2W² - 18W + 77 = 0
We get two possible values of width: W = 5 or W = 4
For W = 5, L = 26
For W = 4, L = 28
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Determine whether the statement is always, sometimes, or never true. Complete the explanation.If line m is parallel to linen and the slope of line m is greater than 1, then the slope of linen is greaterthan 1.This statement is (select) true. If line m is parallel to line n, then the lines have (select)slope. Therefore, if the slope of line m is greater than 1, the slope of line m (select) greater than 1.
Answers
The given statement is
If line m is parallel to linen and the slope of line m is greater than 1, then the slope of linen is greater
than 1.
This statement is always true because parallel lines have the same exact slope, otherwise they wouldn't be parallel.
Therefore, the complete statement would be
This statement is always true. If line m is parallel to line n, then the lines have an equal slope. Therefore, if the slope of m is greater than 1, the slope of n is always greater than 1.
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Answers
= 20x^2 - 16
(g - f)(x) = (4x - 4) - (5x)
= (-1x) - 4
= -x -4
(g + f)(2) = (4(2) - 4) + (5(2))
= 4 + 10
= 14
If y=x+4 and y=3x+2, what must be true about x + 4 and 3x+2?
Answers
Answer:
x=1 must satisfy both equations.
Step-by-step explanation:
1)Y=X+4
2)Y=3X+2
IT Means x+4=3x+2
3x-x=4-2;
2x=2 ; x=1 must satisfy both equations
The image of F(-5,-9) after translating along <4, 6 > and then translating along < 3, 5> is? F’(?,?)
Answers
==============================================
Explanation:
The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"
In general, "translated along <m,n>" is the same as writing \((x,y) \to (x+m, y+n)\). If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.
-------------
With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.
We can say
\((x,y) \to (x+4,y+6)\\\\(-5,-9) \to (-5+4,-9+6)\\\\(-5,-9) \to (-1,-3)\\\\\)
Showing that (-5,-9) moves to (-1,-3)
This is after the first translation, but there's a second translation.
We'll apply the same idea, but different numbers this time
\((x,y) \to (x+3,y+5)\\\\(-1,-3) \to (-1+3,-3+5)\\\\(-1,-3) \to (2,2)\\\\\)
So (-1,-3) moves to (2,2)
Overall we have
(-5,-9) move to (-1,-3) after the first translation(-1,-3) move to (2,2) after the second translationTherefore, the original point ends up at (2,2) which is the final answer
--------------
Extra info:
A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.
i need help
can you look over this picture and see what the answer is
Answers
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
CAN SOMEONE PLEASE HELP ME??!!
Answers
Answer:
Step-by-step explanation:its ratxrat
...
The zeros of the divisor,
x-3=0,x=3
f(3)=4(3)²-3-3=30
The remainder is 30
Suppose a box contains 3 defective light bulbs and 12 good bulbs. Two bulbs are chosen separately from the box without replacement. What is the probability that one of two bulbs drawn is defective and one is not?
Answers
Answer:
\(Probability = \frac{12}{35}\)
Step-by-step explanation:
Given
Represent Defective Bulbs with D and non good bulbs with G
\(D = 3\)
\(G = 12\)
The probability that one is defective and the other is not can be represented with: (D and G) or (G and D)
Which means that the defective is selected first, then the good one or the good one is selected first, then the defective one.
This is then calculated as:
\(Probability = \frac{n(D}{Total} * \frac{n(G)}{Total - 1} + \frac{n(G}{Total} * \frac{n(D)}{Total - 1}\)
We used Total - 1 on second selections because it is a probability without replacement
\(Probability = \frac{3}{15} * \frac{12}{15- 1} + \frac{12}{15} * \frac{3}{15- 1}\)
\(Probability = \frac{3}{15} * \frac{12}{14} + \frac{12}{15} * \frac{3}{14}\)
\(Probability = \frac{1}{5} * \frac{6}{7} + \frac{2}{5} * \frac{3}{7}\)
\(Probability = \frac{6}{35} + \frac{6}{35}\)
\(Probability = \frac{12}{35}\)
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
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answers
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
Answers
N = N0 * 3^t
where N is the final number of ants, N0 is the initial number of ants, 3 is the rate of growth (since the number of ants triples each week), and t is the number of weeks.
We are given that there are initially 200 ants, so N0 = 200. We want to find N at the end of 8 weeks, so t = 8. Substituting these values into the formula, we get:
N = 200 * 3^8
N = 200 * 6561
N = 1,312,200
Therefore, at the end of the eighth week, there will be 1,312,200 ants in the colony.
You are a furniture restorer who is mixing a solution of olive oil and lemon juice. The solution is for polishing wooden furniture to give it a shine and a fresh scent. You fill 50% of a cup with lemon juice and 25% of a quart with olive oil. Afterwards, you mix the olive oil and the lemon juice in another container. How many cups of the solution do you have for polishing wooden furniture? 1.5 2.0 2.5 4.5 5.0
Answers
The correct answer is A. 1.5 cups
Explanation:
The total of polishing wooden furniture is equivalent to the total of olive oil plus the total of lemon juice. Additionally, in this case, the result should be given in cups. First, let's consider the values given.
50% of a cup of lemon juice + 25% of a quart with olive oil
The first quantity 50% of a cup of lemon indicates half cup of lemon was added, which is equivalent to 0.5 cups as 1 cup = 100% of a cup and 50% is the half.
Now, the second quantity is provided in quarts, which is not the same as a cup. Indeed 1 quart is equivalent to 4 cups, which represents 100%. This means 100% = 4 cups. Now, to calculate the 25% follow this procedure.
1. Write the values
4 = 100 (total percentage)
x = 25 (percentage to be calculated
2. Solve this by using cross multiplication
x100 = 4 × 25
x100 = 100
x = 100 ÷ 100
x = 1 (cups in 25%)
This means 1 cup of olive oil was added and this plus 0.5 cup of lemon juice is equivalent to 1.5 cups of solution.
-1/4{-8x+12y} Expand The Expression
Answers
Answer:
2x-3y
Step-by-step explanation:
A house on the market was valued at $318,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
Answers
The ratio of the measures of the sides of a
triangle is 3:4:6 and its perimeter is 91 inches.
What is the length of the longest side?
Answers
The perimeter of the ratio triangle is 6+4+3=13
Divide that into the actual triangle perimeter to get the scale 91/13=7
Multiply that scale times the longest side of the ratio (6)
7x6 = 42
To check do the other two as well
7x3=21 and 7x4=28
Add them up to check the perimeter
42+21+28=91
And 42 was the longest side
Find the area of a triangle whose two sides are 12 inches and 14 inches long, and has a perimeter of 34 inches.
Answers
Answer:
\(\huge\boxed{A=3\sqrt{255}\ in^2\approx47.91\ in^2}\)
Step-by-step explanation:
We have two sides
\(a=12in;\ b=14in\)
and the preimeter
\(P=34in\)
We can calculate the length of the third side:
\(c=P-a-b\)
substitute
\(c=34-12-14=8\ (in)\)
Use the Heron's formula:
\(A=\sqrt{p(p-a)(p-b)(p-c)\)
where
\(p=\dfrac{P}{2}\)
substitute:
\(p=\dfrac{34}{2}=17\ (in)\\\\A=\sqrt{17(17-12)(17-14)(17-8)}=\sqrt{(17)(5)(3)(9)}\\\\=\sqrt{9}\cdot\sqrt{(17)(5)(3)}=3\sqrt{255}\ (in^2)\approx47.91\ (in^2)\)
what is the method used to complete the table?
Answers
Answer:
see attached
Step-by-step explanation:
You want to finish filling the given 2-way table.
TotalsAny single missing value in a row or column will be the value that makes the total correct for that row or column. Filling the single missing values will fill enough of a row or column with two or more missing values so that the remaining missing values can be filled the same way.
It is basically a series of subtraction problems.
For example, the upper left cell is filled with 20 -4 = 16, so the total on that row is 16+4=20.
Bob is taking Jill out to dinner. Their bill was $27.50. If Bob spent a total of $32.45 including the tip what was the
percentage of the tip?
Answers
Step-by-step explanation:
100% = $27.50
1% = 100%/100 = $27.50/100 = $0.275
the extra amount paid (for the tip) was
$32.45 - $27.50 = $4.95
to know how many percent that is, we need to see how often 1% fits into that amount.
so,
4.95 / 0.275 = 18
therefore the tip was 18%.
FYI - in real life the tip percentage (and corresponding amount) is calculated based on the net bill (the amount before sales tax).
Write an expression for the
calculation divide 8 in half
and subtract from 20
divided into fifths.
Answers
Answer:
8/2 - 20/5
Step-by-step explanation:
please mark brainliest.
In any year, the weather can inflict storm damage to a home. From year to year, the damage is random. Let Y denote the dollar value of damage in any given year. Suppose that in 95% of the years Y = $0, but in 5% of the years Y = $20,000.
A. The mean of the damage in any year is $__. nothing. The standard deviation of the damage in any year is $____.
B. Consider an "insurance pool" of 100 people whose homes are sufficiently dispersed so that, in any year, the damage to different homes can be viewed as independently distributed random variables. Let barY denote the average damage to these 100 homes in a year. The expected value of the average damage barY, is $____. The probability that exceeds $is____.
Answers
Answer:
a. mean = 1000
standard deviation = 4358.9
b. expected value of average damage bar Y = 1000
probability bar y exceeds 2000 = 0.011
Step-by-step explanation:
we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000
Mean = (0.95 * 0) + (0.05 * 20000)
= 1000
var(y) = E(y²) - E(Y)²
= we solve for E(y)²
= 0²*0.95 + 20000²*0.05
= 0 + 20000000
then the variance of y = 20000000 - 1000²
=20000000-1000000
= $19000000
standard deviation is the square root of variance
= √19000000
= 4358.9
2.
a. Expected value of average is also the mean = 1000
b. we are to find probability that barY exceeds 2000
\(z=\frac{2000-1000}{\sqrt{19000000/100} }\)
= 1000/435.889
= 2.29
1-p(z≤2.29)
= 1 - 0.989
= 0.011
so the probability that barY exceeds 2000 is 0.011
Please help me And please dont say anything that does not relate to what I posted because people keep doing that to me and its annoying. THANK YOU!!
Answers
Answer:
The answer is in the picture :)
Step-by-step explanation:
Can someone please help
Answers
Answer:
The last one, x - 4y = -4
..
i will give you both my kidneys for this answer!!!! Select the correct answer.
Consider functions fand g.
f(x) = 3x+1.what is the value of (f(g(1))
Answers
Answer:
1
Step-by-step explanation:
when x is 1 g(1) is 0
so
(f(g(1)) is f(0)
f(0) is 3√0 + 1 which is
1
sorry it looks like its not one of the answer choices
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The composition of functions f ( g ( 1 ) ) = 1
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 3√x + 1
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( 1 ) = 0
g ( 2 ) = 1
g ( 3 ) = 4
g ( 4 ) = 9
Now , the composition of function is given by f ( g ( 1 )
The value of g ( 1 ) = 0
And , f ( x ) = 3√x + 1
when x = 0
So , the value of f ( 0 ) = 3√0 + 1
The function is f ( 0 ) = 1
Hence , the value of the function f ( g ( 1 ) = 1
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Consider this polynomial, where a is an unknown real number.
correctly/incorrectly
and why
Answers
9514 1404 393
Answer:
incorrectly; used 1 in the division instead of -1incorrectly; evaluated higher powers of -1 incorrectlyStep-by-step explanation:
The result each should have obtained is ...
a +10 = 17
a = 7
Braulio's mistake was in using 1 as his divisor instead of -1. His bottom row should have been 1, 4, a-4, 1-a, a +10.
Zahra's mistake was improperly evaluating higher powers of -1. Her evaluation should have been 1 -5 +a +3 +11 = a +10.
John is asked to roll a fair number cube, numbered from one to six, and toss a balanced quarter simultaneously. What is the probability that he will roll a 2 and the quarter will come up tails?
Answers
Answer: 1/12 or 8.3%
Step-by-step explanation:
probability of a 2 on the cube: 1/6
probability of tails on the quarter: 1/2
1/6*1/2=1/12
1/12 or 8.33333% (round to 8.3%)
Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 30 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answers
Answer:
0.0787 is the probability that more than 5% guests are pollotarian.
Step-by-step explanation:
Solution:
Given:
Assume 5% of guests will be pollotarian.
She order 30 pollotarian meals.
Expected proportion of the guest would be expected to be proletarian =3.5%
P = 0.035
n = sample size = 300
Standard error = √(p(1-p)/n)
= √(0.035(1-0.035)/300)
= √(0.033775/300)
= √0.0001125
= 0.0106
Therefore, proportion expected to be pollotarian are 0.035 give,
Or take 0.0106.
Probability that more than 5% of guests are pollotarian:
P( x> 0.05) = 1- p(x < 0.05)
= 1 – p ( z < ( 0.05 – 0.035 )/ 0.0106)
= 1 – p( z < 1.4137)
= 1 – 9213
= 0.0787
0.0787 is the probability that more than 5% guests are pollotarian.
volume of rectangular prism with length of 9in and width of 1 1/3in and height of 4 2/3in
Answers
Answer:
V≈55.98
Step-by-step explanation:
V=WHL=1.33x4.67x9≈55.978