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Kipish [7]
3 years ago
15

6. An air conditioning repair service call costs $75 per hour plus a flat fee trip charge of $25. If the situation can

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

THE ANSWER FROM YOUR OPTIONS IS:

(C) The repair charge r depends on the repair time h in hours.

Step-by-step explanation:

Repair-service call  -  $75 /hour

Flat fee trip-charge  -  $25

The function representing this situation: r(h) = 75h + 25

(A) Which is the dependent variable?

The dependent variable is the one whose value is to be gotten from the relationship between or among the values of other variables in the function. It usually appears at the left hand side of the equation. In this case, it is r(h).

(B) What do the variables represent?

The variables here - the algebra that can attain various values - are r and h.

r = total repair charges

h = repair time in hours [hence, if h = 1, repair time is 1 hour]

These are the two variables in this function.

r(h) now means repair charges in hours

THE ANSWER FROM YOUR OPTIONS IS:

(C) The repair charge r depends on the repair time h in hours.

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State the hypothesis and claim:
vekshin1

Answer:

<em>Null Hypothesis</em>: H₀ : μ < 214 miles

<em>Alternative Hypothesis :H₁</em>: μ> 214 miles

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the size of the sample 'n' = 12

The mean of the Population = 214 miles

The mean of the sample   = 198 miles

The standard deviation of the sample = 42 miles

Level of significance = 0.01

<u><em>Step(ii):-</em></u>

Null Hypothesis: H₀ : μ < 214 miles

Alternative Hypothesis :H₁: μ> 214 miles

Test statistic

             t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

             t = \frac{198 -214}{\frac{42}{\sqrt{12} } }

          |t| = |- 1.319| = 1.319

Degrees of freedom   = n-1 = 12 -1 =11

critical value  t_{(0.005 , 11)} =   3.4966

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles

3 0
3 years ago
WRITE DOMAIN AND RANGE
slavikrds [6]
DOMAIN AND RANGE. Boom I did it.
6 0
3 years ago
What expression can represent six more than X
yuradex [85]

Answer:

6+x

Step-by-step explanation:

An expression is a set of operations without an equal sign. This question is asking which operation is being performed. The question states that there should be six more than x, this means 6 is being added to x. So, addition should be used to make the expression.

5 0
3 years ago
(a) (-5z)^3 (b) 5x^4(x^2)
yuradex [85]
A) ( - 5 )^3 * z^3 = -125z^3;
b) 5x^( 4 + 2 ) = 5x^6;
6 0
4 years ago
What are the slope and the y-intercept of the linear function that is represented by the table? X -1, -1/2, 0, 1/2 Y -3/2, 0. 3/
JulijaS [17]

Answer: Slope: 3, Y-intercept: 3/2

Step-by-step explanation:

<u>x             y </u>

-1         -3/2

-1/2        0

0          3/2

1/2         3

Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.

Now, we can use the formula m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} } to find the slope.

m=\frac{\frac{3}{2} -0}{0-(-\frac{1}{2})}

m=\frac{\frac{3}{2} }{\frac{1}{2} } =\frac{3}{2} *2=3

Slope: 3

Y-intercept: 3/2

6 0
3 years ago
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