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borishaifa [10]
2 years ago
5

Tiffany started a doggle daycare where she offered a variety of services, including grooming. She charges an hourly rate of

Mathematics
1 answer:
puteri [66]2 years ago
7 0

The linear function in slope-intercept form for the cost of a visit of x hours is given as follows:

C(x) = 9x + 31.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the rate means that the slope is of m = 9. When x = 3, C(x) = 58, hence the y-intercept is found as follows:

C(x) = 9x + b

58 = 9(3) + b

b = 31.

Hence the equation is:
C(x) = 9x + 31.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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How heavy a load (pounds) is needed to pull apart pieces of wood 4 inches long and 1.5 inches square? Here are data from student
statuscvo [17]

Answer:

a. (29526.192 , 32155.808)

b. (29673.9301 , 32008.0699)

Step-by-step explanation:

on calculation, we find that sample mean = 30843 and sample standard deviation = 3018.504, and n=20

1)

Sample Mean = 30841

SD = 3000

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 670.8204

alpha (a) = 1 - 0.95 = 0.05

z critical value for 95% confidence interval:

z(a/2) = z(0.025) = 1.96

Margin of Error (ME) = z(a/2) x SE = 1314.808

95% confidence interval is given by:

Sample Mean +/- (Margin of Error) = 30841 +/- 1314.808

= (29526.192 , 32155.808)

2)when std dev of population is not known, we use sample's, but we have to use t instead of z

Sample Mean = 30841

SD = 3018.504

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 674.958

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown

t(a/2, n-1 ) = 1.7291

Margin of Error (ME) = t(a/2,n-1)x SE = 1167.0699

90% confidence interval is given by:

Sample Mean +/- (Margin of Error)

30841 +/- 1167.0699 = (29673.9301 , 32008.0699)

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Sauron [17]

Answer:

I believe the first and last choice is correct.

~ hope I'm correct, if not I'm sorry~

Step-by-step explanation:

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{1,2,3,...,75,76,78} how many numbers in the set above have 2 as a factor but not have 10 as a factor
Alinara [238K]

Answer:

<h2>A) 32</h2>

Step-by-step explanation:

From 1 to 10 we have 4 numbers which are {2,4,6,8}

From 10 to 20 we have 4 numbers which are {12,14,16,18}

.

.

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From 70 to 78 we have 4 numbers which are {72,747,6,78}

<em><u>conclusion:</u></em> we 4×8 number = 32

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If x2 = 4, what are the possible numbers for x?
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Answer:

2

Step-by-step explanation:

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