Use the difference of squares identity to write this polynomial expression in factored form:

The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand

alexira [117]

Answer:

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

t = 1.076

Step-by-step explanation:

Step(i):-

Given Mean of the Population (μ) = 8.0

Mean of the sample (x⁻) = 8.25

Given data

8,9,9,8,8,9,8,7

Given sample size n= 8

Given sample standard deviation(S) = 0.661

Step(ii):-

Null hypothesis : H: (μ) = 8.0

Alternative Hypothesis :H:(μ) > 8.0

Degrees of freedom = n-1 = 8-1=7

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }$

t = 1.076

Critical value

t₍₇,₀.₀₅₎ = 2.3646

The calculated value t = 1.076 < 2.3646 at 0.05 level of significance

Null hypothesis is accepted

Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0

3 0

3 years ago

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!

Greeley [361]

Z=82 vertical or opposite angle theorem
15x-7 + 82=180 supplementary angles theorem
so 15x +75 =180
15x=180-75
x=105/15
x=7

7 0

3 years ago

A rectangle is drawn with the dimensions shown. The area is listed inside each rectangle.

lutik1710 [3]

Answer:

the awnser is 45

Step-by-step explanation:

i just took this test on masery connect

5 0

3 years ago

Please tell me if my answer is right NO LIES brainlest report you then

ladessa [460]

Answer:

Your answers are correct.

Step-by-step explanation:

The "<" sign means less than and the ">" sign means greater than. It is clear that you have a handle on them.

1.) If Steve has no more that 28 toys, then the less than sign would represent the fact that Steve can have a maximum of 28 toys, and no more.

2.) If the temperature is more that 28 degrees Fahrenheit, then the greater than sign is appropriate in order to imply that the variable represents a higher temperature.

3.) If tony is younger than 29 years old, then the less than sign fits to show that the variable represents an age that is smaller than 29.

4.) If the table is greater than 29 kilograms, then the greater than sign is needed. It shows that the table has a greater weight than 29 kilograms.

Hope this helps! :D

4 0

3 years ago

There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it i

forsale [732]

Answer:

The required probability is 4/7.

Step-by-step explanation:

The sample space for the experiment is: { BB, BR, RB, RR }

The outcome of the event we require is: { BR, RB }

The probabilities for each outcome is given as:

BB: 3/7 x 2/6 = 1/7

BR: 3/7 x 4/6 = 2/7

RB: 4/7 x 3/6 = 2/7

RR: 4/7 x 3/6 = 2/7

Adding the probabilities we have:

{ BR, RB} = 2/7 + 2/7 = 4/7

That's it!

3 0

3 years ago