Is the first one correct and what are the ages? Thanks

Answer:

c=21, d=69, x=37

Step-by-step explanation:

159+c=180

c=21,

21+d=90

d=69,

3x+69=180

3x=111

x=37

Answer:

6.5 yards

Step-by-step explanation:

1 yard = 36 inches

234/36 = 6.5

Answer:

she added before multiplying because she did 3+4 instead of 3x4

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:

forgot to add a pic

Step-by-step explanation:

9514 1404 393

Answer:

  3/10

Step-by-step explanation:

  (3/8)/(1 1/4) = (3/8)/(5/4) = (3/8)/(10/8) = 3/10

Q) (3/8) ÷ (1 1/4) = ?

→ (3/8) ÷ (1 1/4)

→ (3/8) ÷ (5/4)

→ (3/8) ÷ (10/8)

→ (3/8) × (8/10)

→ 3/10 {final answer}

Answer:

rectangular pyramid

Step-by-step explanation:

just took the test

The figure can be made using the net shown is a rectangular pyramid.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

Pyramids and prisms are both three-dimensional solids with flat faces and bases.

Yet, a pyramid only has one base, whereas a prism has two bases that are identical.

Here, the base is rectangular then the figure shows A rectangular pyramid.

Learn more about Prism and Pyramid here:

https://brainly.com/question/1558408

#SPJ5

Answer:

1. 53 97 159

2 6 and 6.1

3. 1 1/3

Answer:

a1=−3; an=an−1+2

Step-by-step explanation:

I just took the quiz and this was what was correct

Answer:

Just isolate the variable by performing inverse operations. Its like solving an equation but the sign is different.

Step-by-step explanation:

Well add 4 to both sides

8≤n

Thats basically it

Answer:

n ≥ 8

Step-by-step explanation:

We want to isolate n to solve the inequality. To do that, you add 4 to both sides, so 4 + 4 = 8 on the left and n - 4 + 4 = n on the right. That leaves you with 8 ≤ n, or n ≥ 8.

Answer:

D. 5 5/6

Step-by-step explanation:

2 1/2 + 3 1/3

= [tex]\frac{5}{2}[/tex] + [tex]\frac{10}{3}[/tex]

= [tex]\frac{15 + 20}{6}[/tex]

= [tex]\frac{35}{6}[/tex] = 5 5/6

Answer:

5 1/3

Step-by-step explanation:  i am pretty sure

Answer:

I think the answer is 11i

there is the correct answer.

Answer:

d=10.0002

Step-by-step explanation:

Given That:

Height=h=28 inches

Volume=V=732.7 cubic inches

Required:

Diameter of the base of the cone=d=?

Solution:

the formula for the volume of a cone is

re-arranging the terms to get the radius (r)

putting values, we get

to find the diameter we know that diameter is double of the radius so

d=2r

d-2(2.0051)

d=10.0002

Answer:

,,,,,,,,,,,,,,,,,,,,,,,

Answer: I think the answer would be B) 10.0

Answer:

12.86

Step-by-step explanation:

this is rounded to the nearest hundredth

Answer:

$666.25

Step-by-step explanation:

Use the equation A = P(1 + rt)

P=16.25

$650+$16.25=666.25

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

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:

3 factors ; 18 total conditions

Step-by-step explanation:

The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.

For each factor variable, each has a number of different conditions ;

For smoking : 2 conditions (smoking and not smoking)

Drinking : 3 conditions (no alcohol, 1 / day ; several per day)

Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)

Total number of conditions :

(2 * 3 * 3) = 18 conditions

Answer:

Should be a dress code i hope this helps god bless you all

Step-by-step explanation:

Answer:

It does not absorb moisture, but does absorb oil; this quality makes polyester the perfect fabric for the application of water-, soil-, and fire-resistant finishes. Its low absorbency also makes it naturally resistant to stains.

Step-by-step explanation:

I cant see the question's very well so ^

Answer:

2nd one

Step-by-step explanation:

Polyester is what a call hydrophobic meaning it doesn’t absorb water. Even after washing it it’ll repel the clean water making still dirty.

Answer:

I think is 2cm if I’m wrong plz correct me

Step-by-step explanation:

I’m guessing so no work

Answer: 475 adults paid admission

Step-by-step explanation:

1.50c+4a=5050 (1.50 per child and 4 per adult)

1.50(2100)+4c=5050 (2100 children times 1.5 each)

3130+4a=5050

4a=1900

a=475