will mark brainliest if correct!

Answer:

The standard deviation of the distribution of sample proportions is 0.0229.

Step-by-step explanation:

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]

70% of all city residents support the tax increase to build a combined bus and train station.

This means that [tex]p = 0.7[/tex]

400 city residents

This means that [tex]n = 400[/tex]

What is the standard deviation of the distribution of sample proportions?

By the Central Limit Theorem:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{400}} = 0.0229[/tex]

The standard deviation of the distribution of sample proportions is 0.0229.

Answer:

use photo math it's great and free

Step-by-step explanation:

it's 13/16

I have done the processs:))

Answer:

D. 13/16

Step-by-step explanation:

D is the correct answer. hope this helps

Answer:

Step-by-step explanation:

Given,

Base of the parallelogram = 10

Height of the parallelogram = 12

Therefore,

Area of the parallelogram = base × height

= 10 × 12

= 120

Hence,

Area of the parallelogram is 120 square units (Ans)

Answer:

-8

Step-by-step explanation:

Plug in -4 for w,  2(-4)2+8     (2x-4x2+8)

2 x -4 x 2 =-16

-16+8= -8

Answer:

E

Step-by-step explanation:

Answer:

-25 and 2

Step-by-step explanation:

x + y = -23

xy = 50, so y = 50 /x

.

x + 50/x =-23,  x^2 +23x - 50 = (x-2)(x+25)

so 2 and -25

Answer:

the answere is y=543.2

Step-by-step explanation:

thats it

Answer:

∠TUX and ∠WXU

Step-by-step explanation:

Alternate interior angles are angles that lie on the inside of the parallel lines, but different sides.

∠TUX is on the left side.

∠YXU is on the right side.

Therefore, ∠TXU and ∠WXU are alternate interior angles.

Answer:

Step-by-step explanation:

52*3:4+1=40 There are 52 weeks in a year, 3/4 of 52= 39 , 1 week longer than it 39+1=40

Answer:

D

Step-by-step explanation:

Answer:

One of the possible dimensions of the full trailer could be 5 by 12 by 3.

Step-by-step explanation:

Volume = weight times height times length = 12 times 5 times 3 = 180.

Answer:

I don't get the question well,so if u can reframe it

Answer:

31.3%

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Five trials, probability of a success is 50%.

This means that [tex]n = 5, p = 0.5[/tex]

Probability of exactly two successes

This is P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.313[/tex]

0.313*100% = 31.3%

Answer:

amita can only use and it is only 2

2

Step-by-step explanation:

hope this helps have a great day!

Answer: see below

Step-by-step explanation:

The shape is a trapezoid

Base 1 (BH) is 10

Base 2 (QA) is 14

Height is 5

Area

[tex]A=\frac{base_{1} +base_{2} }{2} h[/tex]

[tex]A=\frac{10+14}{2} *5\\A=12*5\\A=60[/tex]

Find distance between QB and HA

[tex]D=\sqrt{(x_{2} -x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}[/tex]

Q( -4,4)  B (-2,9)

[tex]D=\sqrt{(-2--4)^{2}+(9-4)^{2} } \\D=\sqrt{2^{2} +5^{2} } \\D=\sqrt{29}[/tex]

Perimeter

[tex]P=10+14+2\sqrt{29} \\P=24 +2\sqrt{29} \\P= 24+10.77\\P=34.77[/tex]

Answer:

-6 <= g < 3

Step-by-step explanation:

-6 <= g < 3

Answer:

80

Step-by-step explanation:

Answer: ben

Step-by-step explanation:

Step-by-step explanation:

complementry

since the angle 1 and 2 both measures 90⁰

Answer: Choice 2 Adjacent and Choice 4 Supplementary

Step-by-step explanation:

Here, we are given four choices, and I will be defining each of them.

-----------------------------------------------------------------------------------------------

We can see from the figure given

Both angles are 90°, so ∠1+∠2=90+90=180°

Which is supplementary.

We can see from the figure given

Both angles share a common arm and vertex

Which is adjacent

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167

Step-by-step explanation:

Given

[tex]\mu = 2870[/tex] --- the average

[tex]\sigma = 470[/tex] --- the standard deviation

Required [Missing from the question]

Monthly mortgage is between 2300 and 3140

This is represented as:

[tex]P(2300 < x < 3140)[/tex]

This is calculated as:

[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]

[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]

Calculate the z scores

[tex]x = 3140[/tex]

[tex]z = \frac{3140 - 2850}{470}[/tex]

[tex]z = \frac{290}{470}[/tex]

[tex]z = 0.6170[/tex]

[tex]x = 2300[/tex]

[tex]z = \frac{3140 - 2300}{470}[/tex]

[tex]z = \frac{840}{470}[/tex]

[tex]z = 1.7872[/tex]

So, we have;

[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]

This is then calculated as:

[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]

[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]

[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]

Using the z table:

[tex]P(Z<0.6170) =0.73138[/tex]

[tex]P(Z<1.7872) =0.96305[/tex]

[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]

[tex]P(2300< x < 3140) = 0.23167[/tex]

Answer:

Below

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x >2

Interval Notation:  ( 2, ∞)

Hope this helps:)

Answer:

70°

Step-by-step explanation:

n+20=90° [being a right angelled triangle]

or, n=90°-20°

therefore n=70°

I guess this is the answer but please confirm first.

Answer:

hahahahahaha yes hnjoo

Answer:

Step-by-step explanation:

If you round it to the nearest whole number, then 17.526  becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.

If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.

Hope this helps!

Answer:

Step-by-step explanation:

It can be rounded down to 17.5 if rounding to 1 decimal place. If you are rounding to the nearest whole number, you would round to 18.

Hope this helps :)

Answer:

25.13 centimeters

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

I could be wrong so sorry in advance lol but this is what I did:

I made the equation 3x + 3 = ((7x-10)/2)

I divided the 2nd equation by 2 so that it would be the same length as RZ.

after that, I got: 3x + 3 = 3.5x - 5

from there, i did basic algebra to get the answer 16

hope this helps!