Which line coincides with the line 2y + 3x = 4?

Answer:

a) By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.

b) 0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.

c) Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2 or greater than 2, the measure X is considered unusual.

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]

30% of American adults were worried about global warming.

This means that [tex]p = 0.3[/tex]

(a) Describe the sampling distribution of the sample proportion of American adults worried about global warming for a random sample of 1048 American adults.

Sample of 1048 means that [tex]n = 1048[/tex]

The mean is [tex]\mu = p = 0.3[/tex]

The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.3*0.7}{1048}} = 0.0142[/tex]

By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.

(b) (3 points) Compute the probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.

This is 1 subtracted by the pvalue of Z when X = 0.35. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.35 - 0.3}{0.0142}[/tex]

[tex]Z = 3.53[/tex]

[tex]Z = 3.53[/tex] has a pvalue of 0.9998

1 - 0.9998 = 0.0002

0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.

(c) (2 points) Based on your answers above, do you think it would be unusual to get 40% of 1048 randomly selected American adults being worried about global warming

Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.

Answer:

Step-by-step explanation:

A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.

Width =_________________

Height= ________________

Aerators = ______________

Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate  5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?

Answer:

-10

Step-by-step explanation:

On a graph, f(x) means the same thing as y.  So if y=7, then x=-10

The formula in the question is incorrect. The formula for the volume of a triangular prism is V = Bh/2.

Answer:

The variable B stands for the base.

In this prism, B equals 11 in.

The variable h stands for height. In this prism, h is 9 in.

The volume of the prism is 346.5 in^3.

Answer:

The formula for volume of a prism is V = Bh.

The variable B stands for the

✔ area of the base

In this prism, B equals

✔ 38.5

in.2.

The variable h stands for

✔ height

In this prism, h is

✔ 9

in.

The volume of the prism is

✔ 346.5

in.3.

Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

Answer:

circle graph

Step-by-step explanation:

Answer:

The answer is circle graph

Step-by-step explanation:

Answer:

i think the answer is B

Step-by-step explanation:

Answer: I think 6 x 10^-4 has the greatest value.

Step-by-step explanation:

A,B helps it help if you doubt used calculator

Answer:

Each person would get 7 each

Step-by-step explanation:

[tex]5 x 10 = 50[/tex]

[tex]50 / 7 =[/tex] [tex]7.14285714286[/tex]

[tex]round[/tex]

[tex]7.1 - 7[/tex]

[tex]Therefore[/tex], [tex]7[/tex]

Hope this helps have a nice day :)

Answer:  0.63803681

Step-by-step explanation:

652/416 simplified= 163/10

then just divide bc its easier.

hope it helped :))

Answer:

0.63803680981

Step-by-step explanation:

First, you can see there is no way to divide 652 into 416. So, you need to add a decimal to 416. Then, you would multiply 652 by 6 and get 3912. You subtract 3912 by 4160 and get 248. Then, you add a 0 to that number. And then, you would keep repeating the steps. Decimal, multiply, subtract.

Answer:

48 of the stamps are not foreign 48 out of 150, this isnt a percentage but the percentage would be 28%

Step-by-step explanation:

68% of 150 would = 102 stamps

subtract 150 by 102 = 48

48 stamps

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y = 10x + 4

x = -2  ; y= -16

x=-1 ; y = -6

x=0 ; y=4

x=1 ; y=14

x=2 ; y=24

Answer:

D. y = x - 4

Step-by-step explanation:

Given the following data;

Points (x, y) = (3, -1)

To find the equation of line;

First of all, we would determine the slope of the graph.

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

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

Substituting into the equation, we have;

[tex] Slope, m = \frac {5 - 5}{5 - 5} [/tex]

Slope, m = 1

Generally, the equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

Using points (x, y) = (3, -1)

-1 = 1*3 + c

-1 = 3 + c

c = -1 - 3

Intercept, c = -4

Therefore, the equation of line becomes;

y = x - 4.

Answer:

(x - 6) (x + 3)

Step-by-step explanation:

Answer:

2 and 10

Step-by-step explanation:

6+4=10, and 6-4=2.

The number four units away from 6 are 2 and 10 and are represented below the number line.

The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given that,

Four units away from 6

Four units higher →

6 + 4 = 10

Four units lower →

6 - 4 = 2

In the below number line, it is shown diagrammatically.

Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ5

Answer:

The other equation could be: 6y = 4x - 18

Step-by-step explanation:

System with infinite number of solutions:

A linear system has an infinite number of solutions when one equation is a multiple of another.

One of the equations of the system is 3y = 2x - 9. Which could be the other equation?

A multiple of 3y = 2x - 9

Multiplying by 2, the other equation could be: 6y = 4x - 18

Answer:

B: y=2/3 x -3

Step-by-step explanation:

I got it right on Edge

Answer:

DE

Step-by-step explanation:

Please give brainliest!!!

7x + 3 = 9x - 3 - 2x

7x - 9x + 2x = -3 - 3

0 = -6

equation doesn't have any solution

Answer:

380.13

Step-by-step explanation:

pi r^2

pi*11^2

pi*121

3.1415926*121

Answer:

379.94 sq. ft.

Step-by-step explanation:

HOPE THIS HELPS

Answer:

Im not sure about my answer but um 11.59 maybe ? sorry if i'm wrong...

Step-by-step explanation:

1.74 x 3= 5.22                     1.74 / 3 = 0.58                    6.96 + 0.58 = 7.54

1.92 x 2= 3.84                     1.92 / 9 = 0.21                     3.84 + 0.21 =4.05

                                        7.54 + 4.05 = 11.59

Answer:

Step-by-step explanation:

13,000

Answer:

A

Step-by-step explanation:

3*4 +2*(-3)=6

12-6=6

6=6 which is true

Answer:

A. (4, -3)

Step-by-step explanation:

substitute x and y for 4 and -3 so the equation would be 3(4) + 2(-3) = 6 and 4 times 3 = 12 and 2 times -3 = -6 so then the equation would be 12 + (-6) = 6 or 12 - 6 = 6. Therefore, the answer A is correct

Answer:

A, because A is the answer(I have my reasons) so A.

The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We have given an expression as ;

log (12/5)

We know that

[tex]log_a(b) - \log_a(c) = \log_a(\frac{b}{c})[/tex]

So,

log (12/5) = log (12) - log (5)

Thus, the correct option is A. log (12) - log (5)

The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ2