What is the slope of the line in the graph?

Answer:

1. Yes, there is sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women.

2. The 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].

Step-by-step explanation:

We are given that in a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested

Among the men, 85 have red/green color blindness. Among the women, 6 have red/green color blindness.

Let [tex]p_1[/tex] = population proportion of men having red/green color blindness.

[tex]p_2[/tex]   = population proportion of women having red/green color blindness.

So, Null Hypothesis, :      {means that men have a lesser or equal rate of red/green color blindness than women}

Alternate Hypothesis, :      {means that men have a higher rate of red/green color blindness than women}

(1) The test statistics that will be used here is Two-sample z-test statistics for proportions;

                             T.S.  =     ~  

N(0,1)

where, = sample proportion of men having red/green color blindness = = 0.085

[tex]\hat p_2[/tex] = sample proportion of women having red/green color blindness = [tex]\frac{6}{2800}[/tex] = 0.002

[tex]n_1[/tex] = sample of men = 1000

[tex]n_2[/tex] = sample of women = 2800

So, the test statistics =  [tex]\frac{(0.085-0.002)-(0)}{\sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1-0.002)}{2800} } }[/tex]  

                                     =  9.37    

The value of z-test statistics is 9.37.

Also, the P-value of the test statistics is given by;

               P-value = P(Z > 9.37) = Less than 0.0001

Since the P-value of our test statistics is less than the level of significance as 0.0001 < 0.05%, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we support the claim that men have a higher rate of red/green color blindness than women.

(2) The 95% confidence interval for the difference between the color blindness rates of men and women ([tex]p_1-p_2[/tex]) is given by;

95% C.I. for ([tex]p_1-p_2[/tex]) = [tex](\hat p_1-\hat p_2) \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }[/tex]

                                 = [tex](0.085-0.002) \pm (1.96 \times \sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1- 0.002)}{2800} } )[/tex]

                                 = [tex]0.083 \pm0.0174[/tex]

                                 = [0.0656, 0.1004]

Here, the crtical value of z at 2.5% level of significance is 1.96.

Hence, the 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].

Answer:

x = 14

Step-by-step explanation:

To solve this problem, we must remember that the addition of two angles that create a straight line should have a sum of 180 degrees.

From this information, we can create the following equation.

(7x - 1) + (6x - 1) = 180

Eliminating the parentheses and grouping like terms gives us:

(7x + 6x) + (-1 + -1) = 180

Simplifying inside the parentheses on the left side produces:

13x - 2 = 180

Next, we should add 2 to both sides to isolate the variable term:

13x = 182

Finally, we should divide by 13 to get the x by itself on the left side of the equation:

13x/13 = 182/13

x = 14

Therefore, the answer to your question is x = 14.

Hope this helps!

Answer:

x = 14

Hope it helps u

plz mark it as brainlist

Answer:

All natural numbers are also whole numbers.

Step-by-step explanation:

Natural numbers are called counting numbers. They are numbers you can count. Although, Zero is not among them. Neither are negative numbers. Succinctly put, Natural numbers are numbers you can count with the exception of negative numbers and Zero.

Whole numbers are an extension of natural numbers. Unlike Natural numbers although, whole numbers contain Zero. Yet, like natural numbers, that do not contain negative numbers. As a result, we can call them counting numbers that includes Zero.

Now from the above definitions, we can see that

1, whole numbers and natural numbers have many numbers in common. So then, 1 is wrong.

2, all natural numbers are whole numbers, not some. So then, 2 is wrong

3, all whole numbers are not natural numbers, because Zero is a whole number, yet, it's not a natural number.

4, all natural numbers are whole numbers, and this is our answer.

Answer:

false... the person said i wasnt sure so i had to put a solid answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

False.  Sample size has direct bearing on the size of the confidence interval being calculated.

Answer:

  A

Step-by-step explanation:

In a list of ordered pairs, a relation that is a function will not have any repeated x-values.

A -- a function (x-values are {-1, 0, 2, 5} with no repeats)

B -- irrelevant

C -- not a function (x-values are {0, 0, -3, 3} with 0 being repeated)

D -- not a function (x-values are {-2, -1, -2, 2} with -2 being repeated)

Answer:

C)It is impossible.

Step-by-step explanation:

According to the situation, the three different points should not be on the same line as it is possible that the circle would possibly a radius of infinite which reflects the impossible as it is nothing but infinite true. So, it is impossible that three different picked points on a line could be on a circle.

There is no straight section across a curvature of a circle as the points cannot be the same distance from the middle as it is the definition of a circle.

So, the correct answer is C

Step-by-step explanation:

Sin(30)=0.5

Sin(60)=0.866

Sin(30)*sin(60)=0.433

Answer:

it would be -4

Step-by-step explanation:

because a positive and negative 5 cancel each other out.

and a negative 2 plus a positive 2 is a negative 4.

Answer:  Alice has the prize

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c||l}\underline{Alice}&\underline{Bob}&\underline{Carol}&\underline{Prize}\\T&T&F&\text{Alice}\\T&F&F&\text{no possible answer}\\T&F&T&\text{no possible answer}\\F&T&T&\text{no possible answer}\\F&F&T&\text{no possible answer}\\F&T&F&\text{no possible answer}\end{array}}[/tex]

Line 1:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

          Alice is true for all of them!

Line 2:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

Line 3:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 4:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 5:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 6:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

Answer:

The temperature at midnight is 100°F.

Step-by-step explanation:

We are given that early this morning the temperature was 54°F, around noon the temperature increase by 45°, at 5 PM a north wind made the temperature fall by 49°F but just before midnight the wind started to blow for from the south making the temperature in rise by 50°F.

Firstly, the early morning temperature was = 54°F

Now, it is stated that around noon the temperature increase by 45°, so the temperature around noon will be = 54°F + 45°F = 99°F

At 5 PM a north wind made the temperature fall by 49°F, this means there will be a decrease in the temperature level = 99°F - 49°F = 50°F

Finally, just before midnight; there is an increase in the temperature level of  50°F, so the temperature at midnight would be = 50°F + 50°F = 100°F

Hence, the temperature at midnight is 100°F.

Answer:

x = 12

Step-by-step explanation:

__9x__      =     __108___

   9                          9

x = 12

Hi there! Hopefully this helps!

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

[tex]9x = 108[/tex]

Divide both sides by 9.

[tex]\frac{108}{9}[/tex]

Answer: {xI x ∈ R, 19 < x < 32}

Step-by-step explanation:

This notation is:

{xI condition1, condition2, ...}

The first condition is:

From what set we take the values of x?

From the set of real numbers.

x ∈ R

The other conditions are the limitations that we have for x, in this case:

19 < x < 32

Then we can write this as:

{xI x ∈ R, 19 < x < 32}

Answer:

18432

Step-by-step explanation:

The first term is 9 and the common ratio is -18 / 9 = 2, therefore the explicit formula is aₙ = 9 * 2⁽ⁿ⁻¹⁾. Therefore, a₁₂ = 9 * 2¹¹ = 18432.

Answer:

-18432

Hey! I got this Answer STRAIGHT OFF OF DeLTA MATH! This answer is correct because it states it is. I think we can trust a Math software more then just some rando dude on the internet! I hope this helped! Also I noticed people put answers online but purposefully make it wrong. Like the answer is 24 but they purposefully put -24. Just a random fact! Anyways hope this helped! Put the heart and your rating on this answer to help other people find it! Let me know if this worked! Bye my loves!  

Answer:

3.8

Step-by-step explanation:

.8 is in the tenths

Answer:

a

normal approximation not appropriate in this instance because  

    [tex]np = 3300 * 0.9998 = 3299.3 > 5[/tex]

and  

     [tex]nq = 3300 * 0.0002 = 0.66 < 5[/tex]

b

  The probability is  [tex]P(X = 3300) = 0.52[/tex]

c

 The probability is  [tex]P(X = 3287) = 0[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  [tex]n = 3300[/tex]

    The  chance of liking blueberry pie is  [tex]p = 0.9998[/tex]

    The  chance of not  liking blueberry pie is [tex]q = 0.0002[/tex]

For normal approximation is possible if  

       [tex]np > 5[/tex] , [tex]nq > 5[/tex]

Now let test

      [tex]np = 3300 * 0.9998 = 3299.3 > 5[/tex]

and  

     [tex]nq = 3300 * 0.0002 = 0.66 < 5[/tex]  

The  probability that all 3300 people will say they like blueberry pie is mathematically represented as

       [tex]P(X = 3300) = p^{3300}[/tex]

       [tex]P(X = 3300) = (0.9998)^{3300}[/tex]

        [tex]P(X = 3300) = 0.52[/tex]

The probability that 3297 of the people will say that they like blueberry pie is  mathematically represented as

         [tex]P(X = 3287) = \frac{(np)^{3297! } * e^{-np}}{3297}[/tex]

          [tex]P(X = 3287) = \frac{0}{\infty}[/tex]

          [tex]P(X = 3287) = 0[/tex]

Answer:

First, you should read that statement many time and just try to learn the concepts of that chapter and look at your examples you will find something same as your questions. Then if you cannot solve that question ask your elder to understand. After understanding that question do that question 4 to 5 times then you will understand that question easily..

Hope you like it please thank me or mark it as a brainliest answer.....

Answer:

If you really can't solve it and you have no idea what the question is talking about, ask someone for help. For example, your teacher or your friends.

You can literally post your question on Brainly for us to answer if we can. That is the purpose of Brainly. Even if it is a really complex and hard question, you should still take the chance of posting it since there are like millions of people using Brainly and this will make it much more easier to find someone to help you.

Answer:

find a what?because it dont tell us what to find

Answer:

We know that

1 ) log a^n = n log a

Now ,

log 6 = 0.7782 ----( 1 )

log 36 = log 6²

= 2 log 6

= 2 × 0.7782

= 1.5564

Answer:

d.

Step-by-step explanation:

the other ones are adding and the 3 is obviously being subtracted.

Answer:

12.25

Step-by-step explanation:

There are 36 outcomes in a throw of 2 dice throws here.

The amount we would be willing to pay is computed here as the expected product value for the 2 dice as we are risk neutral, therefore we would be using the expected value.

The expected values here are computed as:

X P(X = x) xP(X =x)

1 1 1

2 2 4

3 2 6

4 3 12

5 2 10

6 4 24

8 2 16

9 1 9

10 2 20

12 4 48

15 2 30

16 1 16

18 2 36

20 2 40

24 2 48

25 1 25

30 2 60

36 1 36

36 441

Using the above table, the expected amount here is computed as:

[tex]E(X) = \frac{441}{36} = 12.25 [/tex]

Therefore 49/4 is the required expected value here.

The expected value represents the amount you are willing to pay.

The amount you are willing to pay is #12.25

Let the dice be A and B.

So, we have:

[tex]A = \{1,2,3,4,5,6\}[/tex]

[tex]B = \{1,2,3,4,5,6\}[/tex]

The sample space of the product of the outcomes of the dice is:

[tex]S = \{1,2,3,4,5,6\\2,4,6,8,10,12\\3,6,9,12,15,18\\4,8,12,16,20,24\\5,10,15,20,25,30\\6,12,18,24,30,36\}[/tex]

The sample size is:

[tex]n(S) = 36[/tex]

The amount you are willing to pay is the expected value of the sample space.

This is calculated using:

[tex]Expected = \frac{\sum(S)}{n(S)}[/tex]

[tex]Expected = \frac{1+2+3+4+5+6+.......+36}{36}[/tex]

[tex]Expected = \frac{441}{36}[/tex]

[tex]Expected = 12.25[/tex]

Hence, the amount you are willing to pay is #12.25

Read more about expected values at

https://brainly.com/question/16726343

Answer:

It's a negative number and ig you can say it's a whole number

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = [tex]\sigma[/tex] = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

[tex]n = (\frac{z\times \sigma}{E})^2[/tex]

[tex]= (\frac{1.96\times 840}{150})^2[/tex]

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

Answer:

AC = 12x + 20

Step-by-step explanation:

Combine the terms:

AB + BC = AC

AB = 8x + 2

BC = 4x + 18

Plug in the corresponding terms to the corresponding variables:

(8x + 2) + (4x + 18) = AC

AC = 8x + 4x  + 18 + 2

AC = 12x + 20

12x + 20 is your answer for AC.

~

Answer:

68

Step-by-step explanation:

8x+2=4x+18

8x-4x=18-2

4x=16

x=4

Now we substitute it back in:

8(4)+2+4(4)+18-

32+2+16+18=

68

Answer:

A = 5 / P

Step-by-step explanation:

5 / A = P

A = 5 / P

Work Shown:

47 + 3x + 10 = 9x - 39

3x + 57 = 9x - 39

3x - 9x = -39 - 57

-6x = -96

x = -96/(-6)

x = 16

Answer:

Step-by-step explanation:

[tex]-7.1h-(-2k-1)\\-\left(-2k-1\right):\quad 2k+1\\=-7.1h+2k+1[/tex]

Answer:

The number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Step-by-step explanation:

To predict the number of hours it takes to culture a certain number of bacteria form a regression equation of number of hours (y) based on the number of bacteria (x) using the provided data.

The general form of the regression equation is:

[tex]y=a+bx[/tex]

Compute the values of a and b as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sumX\sum XY}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{15\cdot 32109075-12565\cdot39860}{5\cdot 32109075-(12565)^{2}}=-7.203\\\\b=\frac{n\cdot \sum XY-\sumX\sum Y}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{5\cdot 39860-12565\cdot15}{5\cdot 32109075-(12565)^{2}}=0.004[/tex]

*Use the Excel data sheet attached.  

The regression equation of number of hours based on the number of bacteria is:

[tex]y=-7.203+0.004x[/tex]

Compute the number of hours it takes the culture to reach 12,000 bacteria as follows:

 [tex]y=-7.203+0.004x[/tex]

   [tex]=-7.203+(0.004\times12000)\\=-7.203+48\\=40.797\\\approx 41[/tex]

Thus, the number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Answer:

Option A is true

The researchers proved that exercise causes weight loss only for high school students.

Step-by-step explanation:

We are told that the researchers found a high correlation, 0.93, between amount of exercise and weight lost.

Now, looking at each of the options;

- A is True because due to the high correlation, the research proves that exercise causes weight loss but only for high school students.

- B is not true because we are told the correlation is very high at 0.93. Thus, it is untrue that there is no proven causation.

-C is not true because there's no where that the researchers have completely proved that exercise causes weight loss generally. It is only peculiar to the high school students studied.

-D is not true because the 93% is just a correlation and not a percentage of those who lost weight

Answer:

There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation

Step-by-step explanation:

Recall that correlation measures the strength and direction of linear association.  So r= 0.93 indicates a strong positive linear association.  Recall also, that correlation doesn't imply causation.  Causation is a direct change in one variable causing a change in some outcome.

Answer:

can you explain the question better