An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $23.7 for a random sample of 4825 people. Assume the population standard deviation is known to be $11.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.

Answer: P = 48 in, A = 144 in.2

Step-by-step explanation: Since a square has equal sides and we know one side length is 12 inches, then all the sides are 12 inches. For perimeter, we add all sides, which would equal 48 and for area, we multiply 2 of the sides, which would be 144.

This is not my answer I found it from another brainly

From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.

Tony:

2x+3.5y=355

Rae:

2x+3y=320

Now you can solve the equations by subtracting Rae's equation from Tony's

.5y=35 solve for y and you get 70

Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:

2x+3(70)=320

x=55

Answer:

utprirtdufyfohxhcf2667566596 y _&÷&8€5697= 34 minutos y el no te

Answer:

(10.891; 15.869)

Step-by-step explanation:

Given the data::

15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14

The confidence interval is obtained using the relation :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Using a calculator, the mean value of the data and standard deviation above is :

Mean = Σx / n ; n = sample size

Mean, xbar = 281 / 21

Mean = 13.38

Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]

Standard deviation, s = 5.82

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% confidence level = 1.96

Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489

Confidence interval :

Mean ± margin of error

13.38 ± 2.489

Lower boundary = (13.38 - 2.489) = 10.891

Upper boundary = (13.38 + 2.489) = 15.869

(10.891; 15.869)

9514 1404 393

Answer:

  c

Step-by-step explanation:

Choice A lists most of them, but choice C lists them all.

__

Vertical angles are on opposite sides of the intersection of crossing lines. They share a vertex, and have sides that are opposite rays.

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

Answer:

C. 94 Supplementary angles

Step-by-step explanation:

Answer:

exponent

Step-by-step explanation:

To get log2(4)=2

so 2 to the power of 2 is 4

4 is the number between brackets in log

another example

log2(8)=3

2 to the power of 3 is 8

Answer:

??????

Step-by-step explanation:

Answer:

wow this is not 40 points there u get no help

Step-by-step explanation:

Answer:

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

Step-by-step explanation:

Surface area of a cylinder = 2πrh+2πr² = 2π(rh+r²)

Cylinder A = 2π(rh+r²)

Cylinder B = 2π((2r)(2h)+(2r)²) = 2π(4rh+4r²)=2π(4(rh+r²))

To find how many times greater Cylinder B's surface area is than Cylinder A's surface area, divide:

[tex]\frac{Cylinder B}{Cylinder A}[/tex]

=2π(4(rh+r²))/2π(rh+r²)

(divide top and bottom by 2π)

=4(rh+r²)/(rh+r²)

(divide top and bottom by (rh+r²))

=4

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

9514 1404 393

Answer:

  6(9v -7w)

Step-by-step explanation:

The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:

  54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)

Answer:

14

Step-by-step explanation:

area of sector = 153.9

or, (1/2) r²∅ = 153.9

or, r²∅ = 153.9 ×2

or, r²∅ = 307.8

or, r²× π/2 = 307.8

or, r² = 615.6/π

or, r² = 196

or, r=√196

r = 14

Answer:

Step-by-step explanation:

a^x. a^y=a^{x+y}

4²*4^8=4^{10}

Answer:

4 to the power of 10

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

Cos: adjacent / hypotenuse

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse. Well Done!

Sin: In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.

hope this helps out, if not, i'm sorry

Step-by-step explanation:

Answer:

Sin=O/H

Cos=A/H

Step-by-step explanation:

Sin in full is some, a trigonometric ratio calculated by dividing the opposite over the hypotenuse.

Cos is in full cosine , also a trigonometric ratio calculated by dividing the adjacent over the hypotenuse.

Answer:

4.33333333333 or 4 and 1/3

Step-by-step explanation:

Answer:

4 1/3

Step-by-step explanation:

1) Convert 5 3/4 to improper fraction.

2) Simplify 5x4 to 20.

3) Simplify 20+3 to 23.

4) Convert 1 5/12 to an improper fraction.

5) Simplify 1x12 to 12.

6) Simplify 12+5 to 17.

7) Find the least common denominator of 23/4 & 17/12.

8) Make the denominators the same.

9) Join the denominators.

10) Simplify 52/12 ( 4 1/3 )

Hope this helped!

​  

.

Answer:

8/ 125

Step-by-step explanation:

8/ 125

Answer:

8/125

Step-by-step explanation:

I think. you can use the app photo math

Answer:

a

Step-by-step explanation:

when reflected by x-axis, the x stays the same but the y turns negative.

Answer:

D. star in the sky

Step-by-step explanation:

To be honest, none of them represent the plane but I think that's a better answer. OwO

Answer:

135

Step-by-step explanation:

Answer:

135 cupcakes

Step-by-step explanation:

You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.

Answer:

× [tex]\frac{80}{100}[/tex]

Step-by-step explanation:

For example-  

80% of 400 (working in the attachment)

HOPE IT HELPS

Answer:

yes

Step-by-step explanation:

Answer:

1.016 of a mile.

Step-by-step explanation:

Answer:

$34.30

Step-by-step explanation:

Use the equation:

F=P(r)

F=final price

P=principal (starting) amount

r=rate, normally a percent and has to be converted to a decimal

**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.

Plug in the values: F = 49(.7)

F=$34.30 (don't forget the $ sign)