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Answer:x=3

Step-by-step explanation:Multiply both sides of equation by four. Subtract 56 from the left and move to the right. Calculate 80-56. Divide by 8 on both sides x=3

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

Answer:

B. a×1

Step-by-step explanation:

This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication

Answer:

y = m x + b   equation for a straight line

if x = o then y = 4 from graph

y = 0 + 4            and b = 4

If x = 8 then y = 24 from graph

24 = m * 8 + 4      substituting in our equation

m = 20 / 8 = 2.5      giving slope or rate of change

y = 2.5 x + 4     the final equation with a slope of 2.5

As a check using the graph:

We see that if y = 24 then x = 8

24 = m * 8 + 4      substituting in our equation

m = 20/8 = 2.5 agreeing with the value found

Answer:

Step-by-step explanation:

Answer:

7 and 2?

Step-by-step explanation:

i think because f(2) : f(x)= 5+2x = 7

Answer:

the answer will zero for sure

Answer:

0

Step-by-step explanation:

-5-2+2+5 = 0

Answer:

B

Step-by-step explanation:

The heaviest pig on the farm weighs 100 pounds

Answer:

WU= 3

Step-by-step explanation:

Know that, W'U'÷ (scale factor) = WU

18÷6 is equal to 3

scale factor= 3

Answer:

No Solutions

Step-by-step explanation:

Let's find out.

-2(t-4)=10-2t

-2t+8=10-2t

-2t=2-2t

0=2

Hope this helps :)

Answer:

= 40√6

Step-by-step explanation:

least common multipler of 8,2:8

The surface area of the figure is the amount of area covered by the figure.

The figure is not given, so I will give a general solution.

The method followed by Brad to calculate the surface area of the prism is correct.

However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.

So, the conclusion is that:

Read more about surface areas at:

https://brainly.com/question/484723

Solving for x :-

2x - 4y > 6

=》x - 2y > 3

=》x > 3 + 2y

Solving for y :-

2x - 4y > 6

=》x - 2y > 3

=》y < x - 3/2

■ See the attachment for the graph. Since you have not shared the graphs..any graph which looks like this in your question is the correct one.

____

Hope it helps ⚜

Answer:

Yes

Step-by-step explanation:

Here is the graph!

Yes.

y = 6x is a linear function because it makes a straight line on the graph. Also, the degree is 1.

____

Hope it helps ⚜

Answer: YOU DONT GIVE THE PROBLEM

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

Answer:

3rd quadrant

Step-by-step explanation:

it has the pentagon

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

Subtract 6 from each side

y+6-6=24-6-2x

y = 18 -2x

Rewriting

y = -2x+18

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -2 and the y intercept is 18

Answer:

0

Step-by-step explanation:

(5-5)/(-4+3) = 0/-1 = 0

Answer: 114p

Step-by-step explanation:

Hope it helps

Answer:C

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

Answer: 52 because if you Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

like ponitail151 said.