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Archy [21]
2 years ago
15

Kate has an interior decorating business. She charges a base fee of $25 for each visit and $40 per hour for her labor. 1) Write

a function rule to represent this situation for, C, the total cost and h number of hours. 2) Identify the domain and range for the situation. 3) Explain if the situation is discrete or continuous. (if there is no explanation, there will be no credit given) PLEASE I NEED FAST ILL GIVE BRAINLIEST
Mathematics
1 answer:
nataly862011 [7]2 years ago
3 0

Answer:

1) C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) Continuous

Step-by-step explanation:

1) The given parameters are;

The base fee charged = $25

The amount charged for labor = $40/hour

The total cost for h number of hours is C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) The situation is continuous because the different input values of h can be infinite (from o to infinity)

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A survey of 2306 adult Americans aged 18 and older conducted by Harris Interactive found that 417 have donated blood in the past
disa [49]

Answer:

a) p = 0.1808

b) Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

Step-by-step explanation:

Given that:

n = 2306 and x =417

a)  Obtain a point estimate for the population proportion (p) is the ratio of sample successes to sample size.

Therefore: p = x / n = 417 / 2306 = 0.1808

p = 0.1808

b) requirements for constructing a confidence interval  for p is given by:

np(1-p) ≥ 10

Therefore: np(1-p) = 2306(0.1808)(1 - 0.1808) = 341.54 ≥ 10

Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) c = 90% = 0.9

α = 1 - 0.9 = 0.1

α / 2 = 0.1 /2 = 0.05

From the probability table, z_{\frac{\alpha}{2} } = 1.645

Margin of error (e) = z_{\frac{\alpha}{2} } \sqrt{\frac{p(1-p)}{n} } =1.645* \sqrt{\frac{0.1808(1-0.1808)}{2306} }=0.0132

The boundaries are (p - e, p + e) = (0.1808 - 0.0132, 0.1808 + 0.0132) = (0.1676, 0.194)

The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

6 0
3 years ago
Read 2 more answers
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azamat

Answer: k = 25

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2 years ago
Write a system of equations and solve
Semenov [28]
c+b=7
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c+b=7 --> c=7-b
5c+45b=195

5(7-b)+45b=195
35-5b+45b=195
35+40b=195
40b=160
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3 0
3 years ago
What % of 80 is 40 <br> show work please
Damm [24]

Answer:

50%

Step-by-step explanation:

40/80 = 0.5.  We multiply this decimal fraction by 100% to obtain the desired percentage:  0.5(100%) = 50%

8 0
3 years ago
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About 12% of individuals write with their left hands. If a class of 130 students meets in a classroom with 130 individual desks,
Lynna [10]

Answer:

0.1019

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Sample size, n=130 students

Those writing with left=14 students

Using the formula for binomial distribution

P(X≤x)=\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}

Substituting 0.12 for p, 130 for n, 14 for x we obtain

P(X≤x)=\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}

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P(X≤x)=0.1019

3 0
3 years ago
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