Factor completely 56 s to the second power + 23 SW - 63 W to the second power

Answers

Answer 1

Answer: (8s-7w)(7s+9w) is the complete factored form.

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The distance a vehicle travels can be found by using the formula d = rt, where d is the total distance traveled, r is the rate of speed, and t is the amount of time spent traveling. Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour. To the nearest hour, how many hours does she spend driving?

Answers

Answer:

She spends 2 hours driving.

Step-by-step explanation:

The formula given is:

$d = rt$

In which d is the distance traveled, r is the rate of speed, and t is the amount of time spent traveling.

Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour.

This means that $d = 80, r = 50$

To the nearest hour, how many hours does she spend driving?

We have to find t. So

$d = rt$

$50t = 80$

$t = (80)/(50)$

$t = 1.6$

Rounding to the nearest hour

She spends 2 hours driving.

John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?

Answers

Answer:

29 miles were used per gallon

Step-by-step explanation:

257 / 9 = 28.555..

We can round 28.555 to about 29.

So John got 29 miles per gallon.

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?

Answers

Answer:

$40.93

Step-by-step explanation:

Given

Linear function of:

14 HCF = $32.68
52 HCF = $95.38

To find:

19 HCF = ?

Solution

Linear equation in slope-intercept form:

y(x) = mx +b

We have points of: (14, 32.68), (52, 95.38):

y(14) = 14 m + b
y(52) = 52 m +b

Using the points we can find the value of m and b:

m= (y2-y1)/(x2-x1)
m= (95.38 - 32.68)/(52 - 14)
m = 62.7/ 28
m= 1.65

Then finding b:

14*1.65 +b = 32.68
b= 32.68 - 23.1
b= 9.58

So the function is:

y = 1.65 x + 9.58

Then y(19) is found as:

y(19) = 1.65*19 + 9.58
y(19) = 40.93

Answer: Cost of 19 HCF of water is $40.93

A sample of n = 100 scores is selected from a population with mu = 80 with sigma= 20. On average, how much error is expected between the sample mean and the population mean?

Answers

Step-by-step explanation:

s = σ / √n

s = 20 / √100

s = 2

Final answer:

Using the formula for standard error, we calculate the expected error between the sample mean and the population mean in the scenario provided. The answer is 2.

Explanation:

The standard error of the mean (SEM) can be calculated using the formula SEM = sigma/ sqrt(n), where 'sigma' is the standard deviation of the population and 'n' is the sample size. In this case, sigma (σ) is 20 and the sample size (n) is 100. So, SEM = 20/sqrt(100) = 20/10 = 2.

The standard error quantifies the average amount of error between the sample mean and the population mean. Therefore, one can expect, on average, a 2 score difference between the sample mean and the population mean.

Learn more about Standard Error here:

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What is the following product 3 sqrt 5 * sqrt 2

Answers

the answer is 3 sqrt 10

The answer is B

^6 sqrt 200

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, four white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.She has at least one green one.

Answers

Suzan has a 1/3 chance of having at least one green

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