If (6y − 11)(6y + 11) = ay2 − b, what is the value of a?

Allushta [10]

It is 1 because 8-7=1

8 0

4 years ago

A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

3 years ago

Will mark brainliest Please help! Thank you!

shepuryov [24]

Answer:

A & D

Step-by-step explanation:

To find area simply multiply Lenght times Width

7 0

3 years ago

Read 2 more answers

The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The fi

Marianna [84]

Answer:

hello your question is incomplete below is the complete question

The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of 33 Honda Accords. Click on the datafile logo to reference the data. The estimated regression equation is Selling price = 20385.25049 - 0.03739 Mileage - 686.33668 age. Round your answers to the nearest dollar. a. Estimate the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.

answer : ≈ $16144

Step-by-step explanation:

Determine the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.

Given data :

Age= 4 year, Mileage=40,000 miles

Hence the selling price

= 20385.25049 - 0.03739 Mileage - 686.33668 age

= 20385.25049 - 0.03739(40,000) - 686.33668 ( 4 )

= $16144.32

4 0

3 years ago

a 20 ft piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the sh

oee [108]

Longer piece is 15 and shorter piece is 5

5 0

4 years ago