3. *
1 point
3. What is the solution to this equation?
45.98 = 18.78 + 2x
64.76
32.38
27.2
13.6

Answer:

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

In a random sample of 42 Democrats from one city, 10 approved of the mayor's performance.

This means that:

[tex]p_D = \frac{10}{42} = 0.2381, s_D = \sqrt{\frac{0.2381*(1-0.2381)}{42}} = 0.0657[/tex]

In a random sample of 58 Republicans from the city, 12 approved of the mayor's performance.

This means that:

[tex]p_R = \frac{12}{58} = 0.2069, s_R = \sqrt{\frac{0.2069*(1-0.2069)}{58}} = 0.0532[/tex]

Distribution of the difference:

[tex]p = p_D - p_R = 0.2381 - 0.2069 = 0.0312[/tex]

[tex]s = \sqrt{0.0657^2+0.0532^2} = 0.0845[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.645*0.0845 = 0.139[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.0312 - 0.139 = -0.1078

The upper end of the interval is the sample mean added to M. So it is 0.0312 + 0.139 = 0.1702

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

Answer:

-2

Step-by-step explanation:

I'm not 100% sure but...

The x-intercept is when the y is 0.

And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.

Answer:

8, 11, 14, 17

Step-by-step explanation:

For example,

Given: an=2an−1−xan=2an−1−x

a5=99a5=99

a3=27a3=27

a5=2a4−x=2(2a3−x)−x=4a3−3x=99a5=2a4−x=2(2a3−x)−x=4a3−3x=99

4(27)−3x=994(27)−3x=993x=108−99=93x=108−99=9

x=3x=3

Answer:

From left to right: 1, 6, and 7

Step-by-step explanation:

Answer:

The first, sixth, and seventh.

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

Answer:

21.6

Step-by-step explanation:

5x+72=180 (set it to 180 because the total angle sum of a triangle is 180)

5x=108

x=21.6

Answer:

c

Step-by-step explanation:

use the pythagorean theorem

Answer:

Its 8

I know this because its bigger than 7 and it cant be 9

Answer:

Step-by-step explanation:

T-Ball 52%                   Soccer 48%               Basketball 35%

Answer:

3r1

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.

Answer:

nice.

Step-by-step explanation:

Answer:

(0,2) is the answer - Option C.

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which m is the slope and the point is [tex](x_0,y_0)[/tex]

Slope of 9/5 if one of the points on the line is (-10, -16)

This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]

[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]

Which of the following could be another point on the line?​

We have to find a point for values of x and y which gives us an identity. So

Option A:

x = -5, y = -6

Lets see

[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]

[tex]10 = \frac{9*5}{5}[/tex]

[tex]10 = 9[/tex] -> False

So this is not the answer.

Option B:

x = 4, y = 11

[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]

[tex]27 = 9*14/5[/tex]

False

Option C:

x = 0, y = 2

[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]

[tex]\frac{90}{5} = 18[/tex]

[tex]18 = 18[/tex]

True, so (0,2) is the answer - Option C.

Answer:

106 - 8h = 34

Whenever a math question says "when h = 9," they mean you substitute this number where h is in the equation.

106 - 8(9) = 34

106 - 72 = 34

34 = 34

This means the fact that h = 9 is a solution for h.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

its c

Step-by-step explanation:

Answer:

Area = 13.8 cm²

Step-by-step explanation:

Area of a triangle = ½*base*height

base = 4 cm

height = ?

Find height using trigonometry function:

Reference angle = 60°

Opp = height = BC

Adj = 4 cm

Apply TOA:

Tan 60 = Opp/Adj

Tan 60 = BC/4

BC = 4*Tan 60

BC = 6.92820324 ≈ 6.9 cm

✔️Area of triangle = ½*4*6.9

= 13.8 cm²

Answer:

photo is not clear so i can't help u

Answer:

i cant really see the q so sorry but goodluck <3

Answer:

1 7/20

Step-by-step explanation:

I think that's the answer.

Answer:

Keep it up

Step-by-step explanation:

Your teacher is nice for posting it to you iif you can not solve again brick it to me and followed me

Answer:

1.5, C

Step-by-step explanation:

Took the test.

Answer:

The answer is 4

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

You have two angles given 90(right angle) and 57.

Add them to get 147 then subtract from 180.

180 - 147 = 33

Set 33 equal to the expression

33 = 4x + 17

33- 17 = 4x

16 = 4x

4 = x

Answer:

Its 4

Step-by-step explanation:

[tex]2 + 2 = 4 \\ [/tex]

Answer:

2+2=4 lol

And it says I need 20 characters so here are the 20 characters, bRaInLy

Answer: the answer is 2.5 meters long

Step-by-step explanation:

Answer:

The null hypothesis is that there is no difference in the mean number of male and female cats

H₀; μ₂ - μ₁ = 0

Step-by-step explanation:

The given parameters are;

The given percentage of male stray cat population = 50%

The given percentage of female stray cat population = 50%

The number of areas the researcher visits, n = 15

The number of stray male cats he finds = 11

The kind of test to be performed = Sign test

The significance level, α = 0.05

A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.

Answer:

-a+11

Step-by-step explanation:

hard to explain. but should be correct

Answer:

Hi gimmie brainly

thanks

Answer:

use photomath it'll slove it for you

Step-by-step explanation:

Answer:

6 1/5

Step-by-step explanation:

Answer:

[tex]x\le \:5[/tex]

12≥ 2​(1+x)

Switch sides

2(1+x)≤ 12

Divide both sides by 2

2(1+x)2 ≤122

Simplify

1+x≤ 6

Subtract 1 from both sides

1+x−1≤ 6−1

Simplify

[tex]x\le \:5[/tex]

Answer:480

multiply the L W H