The data manager for a state political party gathered data to determine how many citizens would support the party's senate candidate. He polled citizens in 30 similarly sized senate districts and found a sample mean of 70,438 citizens. Statewide data shows that the population standard deviation is 645.3. What is the approximate 90% confidence interval for this situation?

Answers

Answer 1

Answer:

The approximate 90% confidence interval is;

70,244 to 70,732

Step-by-step explanation:

Here, we want to calculate the approximate 90% C.I for the situation

Mathematically;

CI = mean ± (z * SD)/√n

From the question;

mean = 70,438

SD = 645.3

n = 30

we can get z from the CI table

90% CI is same as; 1.645 z-score

So , substituting these values;

CI = 70,438 ± ( 1.645 * 645.3)/√30

CI = 70,438 ± 194

So the CI = 70,438 -194 to 70,438 + 194

= 70,244 to 70,732

Answer 2

Answer:

B. 70,244 and 70,632

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Related Questions

p(x)=6/7x+4 What is P(42)

Answers

40

P(42) = (6/7)(42) + 4 = 36 + 4 = 40

Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n +12 represents the total amount T, in dollars, Salim will pay for n tickets. What does 12 represent in the equation?

Answers

Given:

The equation [tex]T=15n+12[/tex] represents the total amount T, in dollars, Salim will pay for n tickets.

To find:

What does 12 represent in the equation?

Solution:

The vendor charges a one-time service fee for processing the purchase of the tickets.

We have, the equation

[tex]T=15n+12[/tex]

Here, 15 is the coefficient of n and 12 is constant.

If n is number of tickets then 15 must be the price of each ticket.

12 is free from variable and it is fixed. So, it represents one-time service fee for processing the purchase of the tickets.

Therefore, 12 represents that one-time service fee for processing the purchase of the tickets is $12.

The ratio of boys to girls at the park was 9 to 6. If there were 45 boys, how many girls were there?

Answers

Answer:

30 girls

Step-by-step explanation:

This is because the boys and girls were 9 to 6 if we multiply 5 to the 9 we get 45. so when we multiply 6 by 5 we get 30. :)

Answer:

9/6=45/x

3/2=45/x

3/2×45=1/x

3/90=1/x

1/30=1/x

reciprocal

x=30

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Simplify 3x + 6x2 - 5x - x2. 6 x^2 + 2 x
6 x^2 - 2 x
5 x^2 - 2 x
5 x^2 + 2 x

Answers

Answer:  2-9x2

Step-by-step explanation:

uhhh i am pretty sure it is d

The answer is d



.............................

According to the graph below. What is the
distance traveled in seven hours?

Answers

i say its 280 miles because the point is at half of 320 and 240 and 320-240 is 80 and half of eithegy is 40 therefore 240+40 is 280

What’s the value of k ?

Answers

Hello!

[tex]\large\boxed{k = 10^{o}}[/tex]

When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:

m∠YZX + m∠ZXY ≅ m∠MYZ

(4k + 5)° + (6k + 10)° = 115°

Combine like terms:

10k + 15 = 115°

Subtract 15 from both sides:

10k = 100°

Divide both sides by 10:

k = 10°

Answer:

k=10

Step-by-step explanation:

First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.

Second you would set the equations equal to 115

4k+5+6k+10=115

Then you would combine the like terms

10k+15=115

next you would subtract the 15 from both sides

10k=100

then you divide by 10

k=10

In which quadrant is point C located

Answers

Answer:

Quadrant 4

Step-by-step explanation:

An 8-column table with 14 rows titled Table 1, Employment by major industry sector, 1996, 2006, and projected 2016. Column 1 is labeled Industry sector with entries services-providing, utilities, wholesale trade, retail trade, transportation and warehousing, information, financial activities, professional and business services, educational services, health care and social assistance, leisure and hospitality, other services, federal government, state and local government. Column 2 is thousands of jobs in 1996 with entries 97,042.9, 639.5, 5,522.1, 14,142.6, 3,935.5, 2,940, 6,968.6, 13,461.8, 2,077.5, 11,604.8, 10,776.5, 5,434.9, 2,877, 16,662.1. Column 3 is labeled thousands of jobs in 2006 with entries 114,407.3, 548.5, 5,897.7, 15,319.4, 4,465.8, 3,054.9, 8,363.2, 17,551.6, 2,918.4, 14,919.8, 13,143.4, 6,234.6, 2,728.3, 19,261.7. Column 4 is labeled thousands of jobs in 2016 with entries 130,189.7, 517.6, 6,326.2, 16,006.4, 4,962, 3,266.7, 9,570.1, 21,643.7, 3,527.4, 18,954.1, 15,016.7, 7,077.2, 2,625.7, 20,696.1. Column 5 is labeled Numeric change 1996 to 2006 with entries 17,354.4, negative 91, 375.6, 1,176.8, 530.3, 114.9, 1,394.6, 4,089.8, 840.9, 3,315, 2,366.9, 799.7, negative 148.7, 2,599.6. Column 6 is labeled numeric change 2006 to 2016 with entries 15,782.4, negative 30.9, 428.5, 687, 496.2, 211.8, 1,206.9, 4,092.1, 609, 4,034.3, 1,873.3, 842.6, negative 102.6, 1,434.4. Column 7 is labeled Average annual rate of change, 1996 to 2006 with entries 1.7, negative 1.5, .7, .8, 1.3, .4, 1.8, 2.7, 3.5, 2, 1.4, negative .5, 1.5. Column 8 is labeled average annual rate of change, 2006 to 2016 with entries 1.3, negative .6, .7, .4, 1.1, .7, 1.4, 2.1, 1.9, 2.4, 1.3, 1.3, negative .4, .7. Based on the above chart, which industry’s average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006? a. Utilities b. Educational services c. Federal government d. State and local government

Answers

Answer:

It's not A or D it has to be B or C.

Step-by-step explanation: i just took the quiz on edge and it wasn't  A or D.

Answer:

Its B

Step-by-step explanation:

1
Write the following equation in standard form:
y+4=
(x – 12)
3
PLEASE HELP MEE

Answers

Answer:

y-3x=-32

Step-by-step explanation:

y+4=3x-36

y-3x=-40

8
Given the summation E (3 + 2n),
n=1
a. Write the first four terms of the sequence.

Answers

Answer:

(e^3 / e^2n)

Step-by-step explanation:

System of equations
2x+4y=8
X=3y-6

Answers

2x + 4y = 8
x = 3y - 6

2x + 4y = 8
2 * ( 3y - 6 ) + 4y = 8
6y + 12 + 4y = 8
8y = 8 - 12
8y = - 4
y = -4 / 8
y = -1 / 2


What is the length of the hypotenuse in the traingle shown above?

Answers

Answer:

17 yards

Step-by-step explanation:

X = √[(15^2) + (8^2)]

x = √[225 + 64]

x = √289

x = 17

how do i write a linear equation and graph it

Answers

y= mx+b
b= y intercept
mx= slope
slope= rise/run

what is an another way to express 36 + 32

Answers

Answer:

Answer:- 68 your answer is here dear ☺️ please give me thanks for My answer mark me brainlist please

Determine the solution for the system of equations:

y = -2x + 1
3x - 2y = 5

A.(-1, 1)
B.(1, -1)
C.(-1, 0)
D.No Solution

Answers

Answer:

Step-by-step explanation: d

Someone please help me I’m struggling rn

Answers

Answer:

HAVE A GOOD DAY !! YAYAYA

which of the following gives all of the sets that contain √9?
a. the set of all irrational numbers
b. the set of all natural numbers, the set of all whole numbers, and the set of all integers
c. the set of all integers, the set of all rational numbers, and the set of all real numbers
d. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers

Answers

Soldiers for the nation of Gilead. “Blessed Be the Fruit”: The standard greeting amongst Gilead residents. The traditional reply is “May the Lord open.” “Under His Eye”: The Gileadean equivalent of “Aloha” — it works as both a hello and a goodbye.

Sanic ran 420 meters in 21 seconds what was his speed?


Yes this is a real question please help

Answers

Answer:

the speed is 20 m/s

Step-by-step explanation:

The computation of the speed is as follows

As we know that

Speed = Distance ÷ time

where,

Distance is 420 meters

And, the time is 21 seconds

So, the speed is

= 420 ÷ 21

= 20 m/s

hence, the speed is 20 m/s

We simply applied the above formula so that the correct value could come

And, the same is to be considered

What is the slope of the line represented by the points in the table?

Answers

the slope would be .05

If f(x) = 2x^2-4x-3
and g)-2x^2-16. find f(x) + g(X)


4X^24X +13
4XN2-4x-13
4X- 19
4X^2- 4x -19

Answers

Answer:

-4x - 19

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 2x² - 4x - 3

g(x) = -2x² - 16

Step 2: Find f(x) + g(x)

Substitute:                              f(x) + g(x) = 2x² - 4x - 3 - 2x² - 16Combine like terms (x²):        f(x) + g(x) = -4x - 3 - 16Combine like terms (Z):         f(x) + g(x) = -4x - 19

A shipping service has four different options for packages where each service has a base price for the first pound and a charge for each additional pound. Let w be the weight of the package in pounds and C be the cost in dollars. Match the solution that is viable for each equation.

Answers

Answer:

4Cx4W

Step-by-step explanation:

1/$ 1/$ 1/$ 1/$

C= Cost

W= /Lbs

The equation y= 1/4x related proportional quantities x and y. What is the value of y when x is 12?

Answers

Answer:

Answer is 3

Step-by-step explanation:

y=

[tex] \frac{1}{4} \times 12 = 3[/tex]

please mark me brainliest and 5 star

Select the two descriptions that match the dilation

Answers

C and D

Hope this helps !

NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.

a. Fill in the table.

b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).

Answers

Step-by-step explanation:

table

0 32000

1 30000

2 28000

3 26000

4 24000

question 2

y= - 2000*x+32000

graphic

select all which are equivalent to:
5^1/3 x 25^1/3

Answers

Note:

You missed adding the answer options.

But, I am solving the given expression to determine its equivalent so that you could get an idea and could easily determine all the options which would be equivalent to the result we would get.

Answer:

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

Step-by-step explanation:

Given the expression

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m[/tex]

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}=\left(5\times \:25\right)^{\frac{1}{3}}[/tex]

               [tex]=125^{\frac{1}{3}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:125=5^3[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}=5^{3\times \frac{1}{3}}=5[/tex]

Thus,

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

Please help me with this math problem ASAP!!

Answers

Let's list what we know.

We know 6 + d is the same as 21

We can use this.

6+d=21

Subtract 6 from both sides

d=15

So d=15

Answer:

21-6=15

Step-by-step explanation:

That helps weigh it down

I’m timed!! Please help me!!
Which statement is true?
А. The function f(x) tan(x) is an odd function because $(-) = -f(x).
В.The function f(1) = tan(t) is an even function because its graph is symmetric about the origin.
C. The function f(t) tan(r) is an odd function because its graph is symmetric about the y-axis.
D.The function f(t) tan(x) is an even function because f(-1) =

Answers

Answer:

We conclude that the function f(x) tan(x) is an odd function because f(-x) = -f(x).

Hence, option (A) is true.  

Step-by-step explanation:

We know that if function is even, then f(-x) = f(x)We know that if the function is odd, then f(-x) = -f(x)

We also know that

tan x = sin x / cos x

so

f(-x) = sin (-x) / cos (-x)

       = -sin (x) / cos (x)

       = -tan (x)

       = -f(x)

Thus, tan (x) is an odd function.

Therefore, we conclude that the function f(x) tan(x) is an odd function because f(-x) = -f(x).

Hence, option (A) is true.  

Answer:a

Step-by-step explanation:

plato

There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 and a multiple of 2?

Answers

Answer:

1/12

Step-by-step explanation:

There is only number between 1 and 12 that is both a multiple of 5 and 2, that being 10. 10 has an equal chance out of all the other numbers that can be spun, and there are 12 numbers, so 10 has a 1/12 chance of being spun.

You take a taxi to your sisters home. The driver charges you $8 for 3 kilometers and $2 for each additional kilometer. If you paid a total of $14 how long did you travel

Answers

14-8=6. So far we have 3 km, then 6 divided by 2 which is 3 additional kilometers. 3+3 is 6 so the final answer is 6km
The final answer is 6 km

what is the opposite of the integer -23​

Answers

i think it’s gonna be 23

Answer:

23

Step-by-step explanation:

The opposite of a number is the opposite sign of it. So, the opposite of a negative number is a positive number:

Opposite of -23 is 23

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