One end of a cable is attached to the top of a flagpole and the other end is attached 6 feet away from the base of the pole.
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​If the height of the flagpole is 6 feet, find the length of the cable.
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Answer:

Following are the responses to the given question:

Step-by-step explanation:

Please find the table in the attached file.

mean and standard deviation difference: [tex]\bar{d}=\frac{\Sigma d}{n} =\frac{-4-6-.......-4-4}{8}=-4.125 \\\\S_d=\sqrt{\frac{\Sigma (d-\bar{d})^2 }{n-1}}=\sqrt{\frac{(-4 + 4.125)^2 +.......+(-4 +4.125)^2 }{8-1}}= 1.246[/tex]

For point a:

hypotheses are:

[tex]H_0 : \mu_d \geq -3\\\\H_a : \mu_d < -3\\\\[/tex]

degree of freedom:

[tex]df=n-1=8-1=7[/tex]

 From t table, at[tex]\alpha = 0.05[/tex], reject null hypothesis if [tex]t <-1.895[/tex].

test statistic:  

[tex]t=\frac{\bar{d}-\mu_d }{\frac{s_d}{\sqrt{d}}}=\frac{ -4.125- (-3)}{\frac{1.246}{ \sqrt{8}}} =-2.55[/tex]

because the [tex]t=-2.553 <-1.895[/tex], removing the null assumption. Data promotes a food product manufacturer's assertion with a likelihood of Type 1 error of 0.05.

For point b:

From t table, at [tex]\alpha =0.01[/tex], removing the null hypothesis if [tex]t<-2.998[/tex].

because [tex]t=-2.553 >-2.908[/tex], fail to removing the null hypothesis.  

The data do not help the foodstuff producer's point with the likelihood of a .01-type mistake.

For point c:

Hypotheses are:

[tex]H_0: \mu_d \geq -5\\\\H_a: \mu_d < -5[/tex]

Degree of freedom:

[tex]df=n-1=8-1=7[/tex]

From t table, at [tex]\alpha =0.05[/tex], removing the null hypothesis if [tex]t <-1.895[/tex].

test statistic:  [tex]t=\frac{\bar{d}-\mu_d}{\frac{s_d}{\sqrt{n}}} =\frac{-4.125-(-5)}{\frac{1.246}{\sqrt{8}}}=1.986[/tex]

Since [tex]t-1.986 >-1.895[/tex], The null hypothesis fails to reject. The results do not support the packaged food producer's claim with a Type 1 error probability of 0,05.

From t table, at[tex]\alpha= 0.01[/tex], reject null hypothesis if[tex]t<-2.998[/tex].

Since [tex]t=1.986>-2.998[/tex] , fail to reject null hypothesis.  

Data do not support the claim of the producer of the dietary product with the probability of Type 1 error of .01.

Answer:

So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.  

Step-by-step explanation:

Answer:

$2792.39

Step-by-step explanation:

→ Work out interest rate

( 100 + 5 ) ÷ 100 = 1.05

→ Multiply the amount by the interest rate to the power of 9

1800 × ( 1.05 )⁹ = 2792.39

Answer: She will need 3 extension cords.

Step-by-step explanation:

If the farthest hedge is 40 yards away, that means it is 120 feet away because 1 yard equals 3 feet. If the cord on her trimmer is 10 feet and her extension cords are 50 feet long, 10+50+50+50= 160 feet. This means she would need 3 extension cords. 2 extension cords would not be long enough.

Answer:

A

Step-by-step explanation:

If the dice are fair and 6 sided then you can roll a 4 in three ways

2    2

1     3

3    1

The total number of ways you can throw two 6 sided dice is 6 * 6 or 36

So P(4) = 3/36 = 1/12

Answer:

3km

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

21i² + 45i + 24

Step-by-step explanation:

Answer:

-5-4i

Step-by-step explanation:

Answer:

57 dollars and 66 cents will be subtracted from the depositeand get the answer of 157.66

Step-by-step explanation:

Answer:

3 m

Step-by-step explanation:

To geg the answer you need to multiply 1.5 times 2.

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Substitute by 0 in the function

Step-by-step explanation:

p(x) = 3x + 4

p(0) = 3(0) +

p(0) = 0 + 4 => 4 Ans.

Answer:

Step-by-step explanation: reduce mean divide so 400 divided by 4 =28

Answer:

[tex]y=-\frac{5}{3} x+5[/tex]

Step-by-step explanation:

Points on the graph: (0, 5) and (3, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-5)/(3-0)

m= (-5)/3

m= -5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = -5/3(x - 0)

y - 5 = -5/3x

y = -5/3x + 5

Answer:

Step-by-step explanation:

Answer:

There are a total of 5/35 ways that you and your friend are both chosen

Step-by-step explanation:

ap3x

Answer:

0.15

Step-by-step explanation:

I just put the fraction in decimal form since there is no photo.

Answer:

0 ÷ 3 = 0

Step-by-step explanation:

if x = 0 you put it in where the x is

Answer:

x=7

Step-by-step explanation:

25x+5=180

      -5    -5

25x=175

/25    /25

Answer:

x=0, y=1

Step-by-step explanation:

Answer: A' (3, 6)

Step-by-step explanation: It is given that the point at is at the coordinate of (1, 2). In this coordinate, 1 represents the x-coordinate while 2 represents the y-coordinate. All you have to do is plug the values of x and y into (x+2)(y+4); so, it will look like this, (1+2)(2+4). Therefore, the new x-coordinate is 3 and the new y-coordinate is 6, so A'(3, 6).

Answer:

50%

Step-by-step explanation:

assuming you are talking about one coin flip (because you didn't specify) you have a 50% chance to land on tails

9514 1404 393

Answer:

  about 145.3 mg

Step-by-step explanation:

If half breaks down in the hour, then half remains. That is, each hour the amount remaining is multiplied by 1/2. The remainder after 6 hours is ...

  (9300 mg)(1/2)^6 = 145.3125 gm

About 145.3 mg will be left after 6 hours.

Answer:

-6074

Step-by-step explanation:

Answer:

571 725

Step-by-step explanation:

Genetic energy formula:m.v²

2

1050.33²=

2

=1050.1089=

2

1 143 450:2=571 725

Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.

Step-by-step explanation:

Answer:

Lateral surface area is 847.8 centimeters^2

Step-by-step explanation:

The formula for determining the lateral surface area of a cylinder is expressed as

Lateral surface area = 2πrh

Where

r = radius of the cylinder

h = the height of the cylinder

From the information given,

r = 9 centimeters

h = 15 centimeters

π = 3.14

Lateral surface area = 2 × 3.14 × 9 × 15 = 847.8 centimeters^2

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