A political strategist surveyed 100 people asking
their opinion about a new proposal. The results
are summarized in the contingency table.

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question, 51 samples, hence, [tex]n = 51[/tex]

Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

To know more about probability follow

https://brainly.com/question/24756209

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Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

Answer:

96

Step-by-step explanation: 40 percent is 64 so just subtract that from 160

Answer:

50

Step-by-step explanation:

Answer:

From the information given, it is found that the value of the test statistic is z = -11.97.

At the null hypothesis, it is tested if the proportion is of at least 95%, that is:

At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:

The test statistic is given by:

In which:

is the sample proportion.

p is the value tested at the null hypothesis.

n is the sample size.

In this problem, we have that the parameters are:

.

Thus, the value of the test statistic is:

The value of the test statistic is z = -11.97.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer

How much there is at the end of the year, I cant answer the question seriously if you do not include the whole question bub next time put the whole question, best of luck.

Step-by-step explanation:

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

Answer:

x=-2

Step-by-step explanation:

4(2x – 8) = 8(4x + 2)

Distribute

8x -32 = 32x+16

Subtract 8x from each side

8x-32 -8x = 32x+16-8x

-32 = 24x+16

Subtract 16 from each side

-32-16 = 24x+16-16

-48 = 24x

Divide by 24

-48/24 = 24x/24

-2 =x

Answer:

48 & 24

Step-by-step explanation:

6×8 and 8×6 will get you 48

6×4 and 8×3 will get you 24

Answer:

[tex](-3,4)[/tex]

Reasoning:

This problem is telling you that if y equal 4, what does x equal?

You can easily insert the y value to find the constant x.

[tex]4=-3x-5[/tex]

[tex]9=-3x[/tex]

[tex]\frac{9}{-3} =\frac{-3x}{-3}[/tex]

[tex]-3=x[/tex]

Answer:

B.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

= > (122°F − 32) × 5/9

= > 50°C...ans

The value of 122°F in °C is 50°C

Temperature is the degree of hotness or coldness in a place. There are different temperature scales such as Celsius, Fahrenheit etc.

To convert from Fahrenheit to Celsius, use:

C = (F - 32) * 5/9

Given that F = 122, hence:

C = (122 - 32) * 5/9 = 50°

The value of 122°F in °C is 50°C

Find out more on Temperature  at: https://brainly.com/question/18130122

Answer:

look at the picture ..........

Answer:

A: metamorphic

Step-by-step explanation:

Answer:

it's a

Step-by-step explanation:

I read it in a textbook

Step-by-step explanation:

I'm assuming your solving for [tex]x[/tex]

Picture 2.

For this one since the two sides are equal

[tex]2x-12=12\\2x=24\\x=12[/tex]

Picture 4.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]

[tex]x=5[/tex]

Picture 6.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]

[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]

Picture 8.

[tex]EG=6[/tex]

Since half of [tex]EG[/tex] is [tex]3[/tex]

[tex]3\cdot2=6[/tex]

[tex]EG=6[/tex]

Brainliest, please :)

Answer:

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

We need 8% of Value

[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]

[tex]\\ \sf\longmapsto 0.08(478000)[/tex]

[tex]\\ \sf\longmapsto 38240\$[/tex]

Current value:-

[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]

Answer:

D

Step-by-step explanation:

Because if you see the x-intercept you will see function with zeros of -2, -1 and 2

Answer:

y=150x+50

y=200+150x

Step-by-step explanation:

y=150x+50

y=200+150x

Answer:

w=288

Step-by-step explanation:

-36=-w/8

-36•8=-w

-288=-w

w=288

Answer:

XXXII

Step-by-step explanation:

The number 30 as a roman is XXX and the number 2 as a roman is ll. So the answer is XXXII

- Your welcome ;)

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

Step-by-step explanation:

Answer is in above picture

Answer:

A. 4/11

B. 2/11

Step-by-step explanation:

Use the given values to find the fractions (4+5+2=11)