. Roger uses his truck to plow parking lots when it snows. He wants to find a model to predict the number of service calls he can expect to receive based on how much snow falls during a storm. Snow Plow Service Based on the collected data shown in the scatterplot, he uses the linear model . According to this model, c(s)=0.8s+0.29about how many service calls will Roger have in the next snow storm if 4.7 inches of snow fall? Round to the nearest tenth if necessary

Answers

Answer 1
Answer:

Answer:

4.1 calls

Step-by-step explanation:

The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:

c(s)=0.8s+0.29

Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:

c(4.7)=0.8*4.7+0.29\nc(4.7)=4.05\ calls

Rounding to the nearest tenth, Roger will get about 4.1 calls.


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For many years, businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year. Suppose the survey was based on a sample of 800 companies likely to require higher employee contributions for health care coverage this year relative to last year. At 95% confidence, compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answer to four decimal places.) Compute a 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answers to four decimal places.)

Answers

Answer:

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

(0.5868 , 0.6532)

Step-by-step explanation:

Step(i):-

Given the survey was based on a sample of 800 companies

Given size 'n'  = 800

A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year

sample proportion

                                p⁻ = 0.62

Step(ii):-

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage.

M.E= Z_(0.05)  \sqrt{(p^(-) (1-p^(-)) )/(n) }

M.E= 1.96\sqrt{(0.62 (1-0.62 )/(800) }

M.E  = 0.017 X 1.96

M.E = 0.03

Step(iii):-

95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.

(p^(-) - Z_(0.05)  \sqrt{(p^(-) (1-p^(-)) )/(n) } , p^(-) +Z_(0.05)  \sqrt{(p^(-) (1-p^(-)) )/(n) })

(0.62 - 1.96\sqrt{(0.62 (1-0.62 )/(800) } ,0.62+1.96\sqrt{(0.62 (1-0.62 )/(800) }

( 0.62 - 0.0332 , 0.62+0.0332)

(0.5868 , 0.6532)

Final answer:

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage is approximately 0.0245. The 95% confidence interval for the proportion of companies likely to require higher employee contributions is (0.5955, 0.6445).

Explanation:

To compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage, we can use the formula:

Margin of error = Z * sqrt((p * (1-p)) / n)

where Z is the Z-score corresponding to the desired confidence level (95% in this case), p is the proportion of companies likely to require higher employee contributions, and n is the sample size. Substituting the given values into the formula, we have:

Margin of error = 1.96 * sqrt((0.62 * (1-0.62)) / 800)

Calculating this value gives us a margin of error of approximately 0.0245.

To compute the 95% confidence interval for the proportion of companies likely to require higher employee contributions, we can use the formula:

Confidence interval = p ± margin of error

Substituting the given values into the formula, we have:

Confidence interval = 0.62 ± 0.0245

Calculating this value gives us a confidence interval of (0.5955, 0.6445).

Learn more about Margin of error for a proportion here:

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The value of a car is $30,000 and depreciates at a rate of 6.5% each year.What will the value of the car be after 5 years? Round to the nearest cent.

Answers

Answer:$20250

Step-by-step explanation:

6.5% of 30000

6.5/100 x 30000

(6.5 x 30000)/100

195000/100=1950

First year depreciation 30000-1950=28050

Second year=28050-1950=26100

Third year=26100-1950=24150

Fourth year=24150-1950=22200

Fifth year=22200-1950=20250

Tickets to a musical cost $15 for adults and $6 for students. Mr. James and Mrs. Reagan are taking their classes to the musical. If 8 adults, including the teachers, went along as chaperones and the total cost for the combined classes to attend the musical was $480, how many students attended the musical?

Answers

The answer to your question is 9
that is not the answer, the answer is 60 students... what I did was 8x15 to get 120, then I subtracted 480-120 to get 360. 360 is the amount of money the kids cost. Finally I divided 360 by 6 to get 60 because each student was 6$

Calculate (a) the number of milligrams of metoclopramide HCl in each milliliter of the prescription:Metoclopramide HCl 10 g

Methylparaben 50 mg

Propylparaben 20 mg

NaCl 800 mg

Purifed water qs ad 100 mL

Answers

Answer:

There are 100 milligrams of metoclopramide HCl in each milliliter of the prescription

Step-by-step explanation:

When the prescription says Purified water qs ad 100 mL means that if we were to make this, we should add the quantities given and then, fill it up with water until we have 100 mL of solution, being the key words qs ad, meaning sufficient quantity to get the amount of mixture given.

Then, knowing there is 10 grams of metoclopramide HCl per 100 mL of prescription, that means there is (1 gram = 1000 milligrams) 10000 milligrams of metoclopramide HCl per 100 mL of prescription. That is a concentration given in a mass/volume way.

Knowing the concentration, we can calculate it per mL instead of per 100 mL

Concentration_(metoclopramide HCL)= (10000mg)/(100mL) =100 (mg)/(mL)

What is the sign of the product (-5)(-3)(-8)(-6)? (5 points) Positive, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is positive Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive Negative, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is negative Negative, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is negative

Answers

Answer: Choice B

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

=======================================================

Explanation:

Recall we have these rules

  • positive times positive = positive
  • positive times negative = negative
  • negative times negative = positive

Here is one example for each rule

  • 8*7 = 56
  • 5*(-9) = -45
  • -2*(-4) = 8

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

Review the table of values for function f(x).A 2-column table with 7 rows. Column 1 is labeled x with entries negative 2, negative 1, negative one-half, 0, one-half, 1, 2. Column 2 is labeled f (x) with entries 8, 5 and one-half, 4, one-half, negative 1, negative 2, negative 7.

Which number is the value of f–1(–2)?

–8
–7
StartFraction 1 Over 8 EndFraction
1?

Answers

Answer:

D. 1

Step-by-step explanation:

Answer:

Answer is D. 1

Step-by-step explanation:

The answer is D on Edge.  (VERIFIED Edge Answer)

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