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maria [59]
2 years ago
12

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitt

ing. What do you think the slope and the y- intercept represent? How much money will she make if she baby-sits 5 hours?
Mathematics
1 answer:
Svet_ta [14]2 years ago
5 0

Answer:

Step-by-step explanation:

Let h represent the number of hours of babysitting.

C represents the total cost of babysitting for h hours.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Therefore, the equation would be

C = 5h + 3

Comparing the equation with the slope intercept form, y = mx + c,

The slope = 5

The y intercept = 3

If she babysits for 5 hours, the cost would bee

C = 5 × 5 + 3

C = $28

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Which of the following is false about the function y=-4
Ronch [10]

Answer:

See possible solutions below.

Step-by-step explanation:

There are no listed statements. However, looking at the function can provide important information:

  • y = -4 is a horizontal line through -4 on the y-axis
  • All inputs have the same output -4 in this function
  • This function has a y-intercept at (0,-4)
  • This function has a slope of 0

False items about this function include:

  • Vertical line
  • All inputs are -4
  • Has on slope or slope is undefined.
7 0
2 years ago
A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year.
ra1l [238]

Answer:

Step 1 of 4

Point estimate for the population mean of the paired differences = -8.2

Step 2 of 4

Sample standard deviation of the paired differences = 16.116244

Step 3 of 4

Margin of Error = ±9.326419

Step 4 of 4

90% Confidence interval = (-17.5, 1.1)

Step-by-step explanation:

The ratings from last year and this year are given in table as

Rating (last year) | x1 | 87 67 68 75 59 60 50 41 75 72

Rating (this year) | x2| 85 52 51 53 50 52 80 44 48 57

Difference | x2 - x1 | -2 -15 -17 -22 -9 -8 30 3 -27 -15

Step 1 of 4

Mean = (Σx)/N = (-82/10) = -8.2 to 1 d.p.

Step 2 of 4

Standard deviation for the sample

= √{[Σ(x - xbar)²]/(N-1)} = 16.116244392951 = 16.116244 to 6 d.p.

Step 3 of 4

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = -8.2

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 10 - 1 = 9.

Significance level for 90% confidence interval

= (100% - 90%)/2 = 5% = 0.05

t (0.05, 9) = 1.83 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 16.116244

n = sample size = 10

σₓ = (16.116244/√10) = 5.0964038367

Margin of Error = (Critical value) × (standard Error of the mean) = 1.83 × 5.0964038367 = 9.3264190212 = 9.326419 to 6 d.p.

Step 4 of 4

90% Confidence Interval = (Sample mean) ± (Margin of Error)

CI = -8.2 ± (9.326419)

90% CI = (-17.5264190212, 1.1264190212)

90% Confidence interval = (-17.5, 1.1)

Hope this Helps!!!

4 0
2 years ago
A bag contains 6 blue marbles, 4 red marbles, and 2 yellow marbles. What is the probability of selecting a blue marble, replacin
sladkih [1.3K]
I think there is a .5 percent chance i added all numbers and divided by 6[the blue marbles]
8 0
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Hope this helped.
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What is 2.85 centimeters in expanded form?
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The answer for <span>2.85 centimeters in expanded form is </span>2 centimeters+ .85 centimeters= 2.85 centimeters
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