What is the first quartile of 13,25,25,29,18,15,32​

Answer:

1256

Step-by-step explanation:

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:

q=3

Step-by-step explanation:

315=390-25q

390-25q=315

390-25q-390=315-390

-25q=-75

Divide both sides by 25

q=3

Answer: q = 3

Step-by-step explanation:

315 = 390 - 25Q  

1. Minus 390 from both sides

-75 = =-25q

2. Divde both sides by -25 to get q by itself

3 = q or  q = 3

Answer:

B. Ellipse

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

Given:

The number is 234.900.

To find:

The [tex]\dfrac{2}{9}[/tex]th of 234.900.

Solution:

We need to find the [tex]\dfrac{2}{9}[/tex]th of 234.900. So, multiply [tex]\dfrac{2}{9}[/tex] and 234.900 to get the required value.

[tex]\text{Required value}=\dfrac{2}{9}\times 234.900[/tex]

[tex]\text{Required value}=\dfrac{469.800}{9}[/tex]

[tex]\text{Required value}=52.200[/tex]

Therefore, the [tex]\dfrac{2}{9}[/tex]th of 234.900 is 52.200 or it can be written as 52.2.

Answer:

D

Step-by-step explanation:

plz tell me if correct!

and PLZ GIVE BRAINLIEST

Answer:

24,0

Step-by-step explanation:

Answer:

Friend C would be 20 years old

Step-by-step explanation:

Consecutive integers are integers that follow each other

In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:

A + B + C = 57

If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:

A + (A + 1) + (A + 2) = 57

3A + 3 = 57

3A = 54

A = 18

So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.

Answer:

20 years old

Step-by-step explanation:

3x + 3 = 57

3x = 54

x = 18

X + 2 = 18 + 2

Answer = 20 years old

Answer:

y = -15

Step-by-step explanation:

Given that,

y varies directly as x i.e.

[tex]y\propto x\\\\y=kx[/tex]

Where

k is the constant of variation.

Put y = 12 and x = 4 to find k.

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3[/tex]

Now put k = 3 and x = -5 and finding the value of y.

[tex]y=3\times -5\\\\y=-15[/tex]

So, the value of y is equal to -15.

Answer:

30 red and 54 green jelly beans

Step-by-step explanation:

Please mark brainliest  :)

Answer:

no hay imagen lo siento

Step-by-step explanation:

Answer:

We conclude that the mean age of average viewer has changed

Step-by-step explanation:

H0 : μ = 43

H1 : μ > 43

The test statistic :

(xbar - μ) ÷ σ/sqrt(n)

Sample size, n = 100

xbar = 45 ; σ = 5

Test statistic :

(45 - 43) ÷ 5/sqrt(100)

2 ÷ 0.5 = 4

The Pvalue :

P(Z < 4) = 0.000032

Pvalue < α

0.000032 < 0.05 ; Hence, we reject the Null

We conclude that the mean age of average viewer has changed

Answer:

the answer is D) 19

Step-by-step explanation:

5×3=15

4+15=19

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

Answer:

y = 29

Step-by-step explanation:

x/2 + 3 = y/3 - 2

28/3 ÷ 2 = 14/3

14/3 + 9/3 = y/3 - 6/3

23/3 + 6/3 = y/3

29/3 = y/3  ∴ y = 29

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Answer:

3. The answer is B: 315 dm³

4. It is A: 47,786 2/3 ft³

Step-by-step explanation:

3.I multiplied Length x Width x Height and then divided by 3

4. I did 64 to the second power and then multiplied it by 35/3

Answer:

The shorter base is 3

Step-by-step explanation:

[tex]a = \frac{(b1 + b2)}{2} \times h[/tex]

[tex]52 = \frac{(10 + b2)}{2} \times 8[/tex]

[tex]b2 = 3[/tex]

Answer:

You are doing good I would say! Your average grade would be a B- Or just a normal B Somewhat around there.

Step-by-step explanation:

I hope this helps you and good luck! Bye!

Grade scale:

A → 100-90

B → 89-80

C → 79-70

D → 70

F <70

That being said to see your grade, add all your grades up then divide it by how many grades you have.

That being said, if you add all your grades then divide it by how many grades you have, you should have a 85.6 as your average.

Hence, your average is a B.

Answer:

1/5 or .20 or 20% (same answer in different formats!)

Step-by-step explanation:

Subtract 1/2 from 7/10

make the denominators the same, so 7/10 - 5/10. You get 2/10 or 1/5.

The diameter of a tire is the distance across the tire through the center. Since tires are circular, you can find the circumference of the tire from the diameter. The circumference represents the distance the tire travels when it makes one revolution. If you know the number of inches in a mile and the circumference, you can find the number of times the wheel turns per mile.

First, measure the diameter of the tire in inches.

Secondly, multiply the diameter by pi, which is approximately 3.1416, to find the tire circumference. For example, if the tire has a 20 inch diameter, multiply 20 by 3.1416 to get 62 inches.

Hope this helped

Answer:

134.6

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.

The level is L = 134.6

The Central Limit Theorem estabilishes that, for a random variable X, with mean  and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation

Answer:

the answer is c

Step-by-step explanation:

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation is y = x² + 7x.

We can determine the values of a, b, and c by comparing the equation to the standard form of a quadratic equation,

which is y = ax² + bx + c.

In this case,

a = 1, b = 7, and c = 0.

To determine the direction in which the parabola opens, we can look at the coefficient of the x² term, which is a.

Since a is positive, the parabola opens upwards.

The y-intercept is the point where the parabola intersects the y-axis.

To find it, we can set x = 0 in the equation:

y = 0² + 7(0) = 0

So the y-intercept is (0,0).

Thus,

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

Answer:

lol the is no equation there to solve

Answer:

adjacent

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope I helped! I tried my best.

Answer:

B

Step-by-step explanation:

Answer:

2362 ...........................