A local school board member randomly sampled private and public high school teachers in his district to compare the proportions of National Board Certified (NBC) teachers in the faculty. The results were:
Answers
Answer:
0.025 ;
(-0.7198 ; 0.7698)
Step-by-step explanation:
From the table :
_____________ private schls ___ public schls
Sample size, n _____ 80 __________ 520
P, NBC teachers ___ 0.175 ________ 0.150
P1 = P of private school teachers
P2 = P of public school teachers
Difference in proportion :
P1 - P12 = 0.175 - 0.150.= 0.025
The 90% confidence interval for 2 - sample proportion :
C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]
Zcritical at 90% = 1.645
C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]
C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]
C.I = 0.025 ± 1.645 * 0.0452755
C.I = 0.025 ± 0.07448
C.I = (-0.7198 ; 0.7698)
Related Questions
I need help with just 1 and 2
Answers
1. I think in Brooklyn, Manhattan, and the other different cities in New Jersey, the rents are overpriced.
2. Some factors are if it looks nice, there are no bugs or rodents, and if it's not a rip off.
**I can't answer the second part bcuz i don't see the tables.
The graph below represents which of the following functions?
Answers
Answer:
hiuu ui9i io9
Step-by-step explanation:
iu9uj k
If there are
12 books in the rack, a person has to choose 5
out of them. In how many ways
can he choose books,if one
book is never selected?
Answers
Answer:
462 ways
Step-by-step explanation:
One book never selected means 12 - 1 = 11.
So to find the number of ways, 11C5 which equals to: 11!/(5!(11-5)!) = 462
(b) In a company, out of 20 candidates 14 men and 6 women apply for two vacancies. What is the probability that (1) both men are selected ? (ii) both women are selected ? (iii) one man and one woman are selected ?
Answers
i hope my answer helps you and you will give me the best answer
Find the missing side round your answer to the nearest tenth.
Answers
Answer:
x=74.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 22 = 30/x
x tan 22 = 30
x = 30/ tan 22
x=74.25260
To the nearest tenth
x=74.3
Colin stacks 3 snowballs on top of each other to make a snowman. The snowballs are \dfrac7{10} \text{ meter} 10 7 meterstart fraction, 7, divided by, 10, end fraction, start text, space, m, e, t, e, r, end text, \dfrac12 \text{ meter} 2 1 meterstart fraction, 1, divided by, 2, end fraction, start text, space, m, e, t, e, r, end text, and 38 \text{ centimeters}38 centimeters38, start text, space, c, e, n, t, i, m, e, t, e, r, s, end text tall. What is the total height of the snowman in centimeters?
Answers
Answer:
[tex]Total = 158cm[/tex]
Step-by-step explanation:
Given
[tex]x: \dfrac7{10}m, \dfrac12m,38cm[/tex]
See comment
Required
The total height
This is calculated as:
[tex]Total = \sum x[/tex]
So, we have:
[tex]Total = \dfrac7{10}m+ \dfrac12m+38cm[/tex]
Express m as cm
[tex]Total = \dfrac7{10}cm * 100+ \dfrac12cm * 100+38cm[/tex]
[tex]Total = 70cm + 50cm + 38cm[/tex]
Take LCM
[tex]Total = 158cm[/tex]
Answer: ♔158 centimeters.☯ Trust me it is correct. ヾ(•ω•`)o
Volunteering: The General Social Survey asked 1309 people whether they performed any volunteer work during the past year. A total of 518 people said they did. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) Find a point estimate for the population proportion of people who performed volunteer work in the past year. Round the answer to at least three decimal places. The point estimate for the proportion of people who performed volunteer work in the past year is .
Answers
Answer:
The point estimate for the population proportion of people who performed volunteer work in the past year is 0.396.
Step-by-step explanation:
Point estimate of a proportion:
Proportion is the number of desired outcomes divided by the number of total outcomes.
518 out of 1309 people performed volunteer work:
This means that:
[tex]p = \frac{518}{1309} = 0.396[/tex]
The point estimate for the population proportion of people who performed volunteer work in the past year is 0.396.
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz and standard deviation 1.0 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. How many bags should be selected so that the standard deviation of the sample mean is 0.1 ounces?
a. 8 bags
b. 10 bags
c. 64 bags
d. 100 bags
Answers
Answer:
100 bags
Step-by-step explanation:
S.E = σ/ √n
0.1 = 1 / √n
Square both sides
0.1² = 1² / n
0.01 = 1 / n
0.01n = 1
n = 1 / 0.01
n = 100
here's a graph of a linear function write the equation that describes the function express it in slope-intercept form
Answers
Answer:
y = 3/4 x - 3
Step-by-step explanation:
the slope of a line is the factor of x in the equation and is expressed as ratio of y/x : defining how many units y changes, when x changes a certain number of units.
in our graph here we can see that when increasing x from e.g. 0 to 4 (the x-axis intercept point, a change of +4), y changes from -3 to 0 (a change of +3).
so, the slope and factor of x is y/x = 3/4
and for x=0 we get y=-3 as y-axis intercept point.
so, the line equation is
y = 3/4 x - 3
Factor the trinomial. Write the answer in binomial fctor form.
2x^2– 13x + 11
Answers
9514 1404 393
Answer:
(2x -11)(x -1)
Step-by-step explanation:
The middle term can be rewritten as a sum using the coefficients of the first and last terms. Then the expression can be factored by pairs of terms.
2x^2 -13x +11 = 2x^2 -2x -11x +11 = 2x(x -1) -11(x -1)
= (2x -11)(x -1)
The function g(x)=8(4*) is reflected across the x-axis to
create f(x).
What is the equation of f(x)?
O f(x)=8(4)
O f(x)=-8(4)*
14
9(x)
12
10
o f(x)=8(4)
o f(x)=-8()
do
OR
4
2
A
-3
-2
2
3
х
-10
-12
f(x)
14
Answers
9514 1404 393
Answer:
(b) f(x) = -8(4^x)
Step-by-step explanation:
Reflection across the x-axis multiplies the function by -1.
f(x) = -g(x) = -8(4^x)
Please help asap! Easy question :)
Two fair dice are rolled. Determine the following probability:
P(one number is a multiple of 4 and the other is a multiple of 6)
Answers
Answer:
P(one number is a multiple of 4 and the other is a multiple of 6) = 1/18
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Total outcomes:
For the pair of dice:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
So 36 total outcomes.
Desired outcomes:
One multiple of 4 and one multiple of 6.
2 possible outcomes: (4,6) or (6,4)
Probability:
2 outcomes out of 36, so:
[tex]p = \frac{2}{36} = \frac{1}{18}[/tex]
Then
P(one number is a multiple of 4 and the other is a multiple of 6) = 1/18
Question 8
A student earned 30 out of 35 points on a
the total points did the student earn? Round it off to the nearest precent
Answers
What is the range & domain of the set
R: {(-6, 14), (10,19), (4, -9), (3, 2), (6, -13)}
Answers
Answer:
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Step-by-step explanation:
The domain is the input values, listed from smallest to largest with no repeats
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Answer:
Range: 14, 19, -9, 2, -13
Domain: -6, 10, 4, 3, 6
Step-by-step explanation:
I don't know but this is it I think .
What is the Square root of 30 ,12,36
Answers
Answer:
the square root of:
30: 5.477225575
12: 3.464101615
36: 6 <-- explanation of square root: any number that when multiplied by itself equals your wanted number (in this case 36) will be the square root of your wanted number.
Let f(x, y) = 2xy − 3xy + y + 1. Find the derivative of f with respect to y.
Answers
Answer:
2x-3x+1
Step-by-step explanation:
f'(x,y)=2x-3x+1
Find the value of X. Round to the
nearest tenth.
Answers
Answer: 8.1
Step-by-step explanation:
4^2 + X^2 = 9^2
16 + X^2 = 81
X^2 = 81-16
X = sqrt 65 = 8.1
y=4.5x+13.45 y=6x-4.55
Answers
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
12
,
67.45
)
Equation Form:
x
=
12
,
y
=
67.45
caron makes $6 every 30 minutes. using the double number line diagram below, how much money would she make if she worked 80 minutes at the same rate?
Answers
Answer:
$16
Step-by-step explanation:
Both lines start at 0 and at 30 mins it is $6. It displays a ratio so that means every 10 mins they earn $2
I need help answering this ASAP
Answers
x greater than and equal to -7
Step-by-step explanation:
Parabola touches at -7 and is going straight towards all positive integers
Therefore the domain is all numbers greater than or equal to -7
What is the order of rotational symmetry for the figure?
A. 3
B. 2
C. 4 or more
D. 1
Answers
9514 1404 393
Answer:
C. 4 or more
Step-by-step explanation:
Rotating the figure in increments of 90° will give the same figure. There are 4 such rotations in a full turn. The order of rotational symmetry is 4.
190 of 7
6 7 8 9 10
-3
4
5
6
The slope of the line shown in the graph is
and the intercept of the line is
Answers
Answer:slope 2/3
Y-int 6
Step-by-step explanation:
You take out a 60-day loan for $5000. At the end of the loan, you owe $73.97 in interest. What is the annual percentage rate? Round your answer to the nearest tenth of a percent.
Answers
The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA
The question is related to a SIMPLE INTEREST problem:
Loan period = 60 days
using 365 days a year ;
converting to years , 60 days = (60 / 365) years
interest on loan = 73.97
principal = 5000
Using the formula:
interest = (principal * rate * time)
73.79 = (5000 * rate * (60/365)
Rate = 73.79/(5000 * (60/365)) =8.977%
rate = 9%
Therefore, PERCENTAGE ANNUAL RATE is 9.0%
Learn more : https://brainly.com/question/3880193
Graph 5 and it’s opposite on the number line
Answers
Answer:
See pic below.
Step-by-step explanation:
The opposite of 5 is -5.
If y varies directly as x, and x = 4 when y = 20, find y when x = 18.
Answers
Step-by-step explanation:
y=Kx
20=4k
k=5
when x=18
y=18 x 5
y=90
The Cinci Company issues $100,000, 10% bonds at 103 on October 1, 2020. The bonds are
dated January 1, 2020 and mature eight years from that date. Straight-line amortization is used.
Interest is paid annually each December 31. Compute the bond carrying value as of December
31, 2024.
Answers
According to the given values in the question:
The Amortization period is:
= [tex]8 \ years\times 12 \ months[/tex]
= [tex]96 \ months[/tex]
Number of months of Amortization is:
= [tex]3 \ months \ in \ 2020+(4 \ years\times 12 \ months)[/tex]
= [tex]3+48[/tex]
= [tex]51 \ months[/tex]
Now,
On bonds payable, the premium will be:
= [tex]Issue \ price - Face \ value[/tex]
= [tex](100000\times 103 \ percent)- 100000[/tex]
= [tex]103000-100000[/tex]
= [tex]3000[/tex] ($)
The Unamortized premium will be:
= [tex]Premium - Unamortized \ premium[/tex]
= [tex]3000-(3000\times \frac{51}{96} )[/tex]
= [tex]3000-1593.75[/tex]
= [tex]1406.25[/tex] ($)
hence,
The carrying value as of December 31, 2024 will be:
= [tex]100000+1406.25[/tex]
= [tex]101406.25[/tex] ($)
Learn more about the bond carrying value here:
https://brainly.com/question/20630991
Write the equation of a line in slope intercept form that passes through the two points. (-1,3) and (2,9)
Answers
Answer:
[tex]y = 2x +5[/tex]
Step-by-step explanation:
Finding the Slope:
m = rise/run
[tex]m=\frac{9-3}{2-(-1)}=\frac{6}{3}=\boxed{2}[/tex]
The slope is 2.
Finding the y-intercept:
[tex]y = 2x + b\\\\9 = 2(2) + b\\\\9 = 4 + b\\\\9 - 4 = 4 - 4 + b\\\\\boxed{ 5 = b}[/tex]
The y-intercept is (0,5).
The equation should be: [tex]y = 2x +5[/tex].
Hope this helps.
Answer:
y = 2x+5
Step-by-step explanation:
To find the equation in slope intercept form, we first have to find the slope of the two points.
The formula for finding the slope is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
We are given the points:
(-1, 3) and (2, 9)
x1, y1 and x2, y2.
[tex]\frac{9-3}{2-(-1)}[/tex]
[tex]\frac{6}{3}[/tex] or 2 (the slope).
The slope intercept form is written as:
y= mx + b
y=2x+b
To find b, we can plug in either of the points given. Personally, I like to work with positive numbers. I'll be using the point (2, 9), however, either point will get you to the same answer.
y=2x+b
9=2(2)+b
9=4+b
Now subtract 4 from both sides.
5=b
Which then leaves us with the equation:
y = 2x+5
Một công ty sản xuất một thùng hình trụ tròn không có nắp và có thể tích 8x ft Chi phí sản xuất đáy là 2 USD / ft ?, chi phí sản xuất mặt bên là 4,8 USD / ft . Hỏi chi phí tối ưu nhất để sản xuất cái thằng này là bao nhiêu USD ?,
Answers
Answer:
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The price of the cinemas meal deal has increased from £7.25 to £9.28.
What is the percentage change in price?
Answers
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Answer:
8.28% increase i believe
Step-by-step explanation:
formula: final amount - initial ÷ initial amount.
9.28-7.25= 2.03. now divide by the initial amount. 2.03÷7.25=8.28.
so, an 8.28% increase to the price
1 Construct the following triangles. You will need a ruler and a protractor.
a) Triangle ABC, where AB = 5 cm,
Answers
Answer:
abcdefghijklmnopqrstuvwxy and z
Step-by-step explanation:
