An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?

Answers

Answer 1

Answer:

When the charge for 3 hours is $94 on Monday and $130 for 5- hour service on Tuesday would charge for 2-hour call service is $76.

Electricians charge a fixed rate + an hourly rate. The charges are a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday.

How to solve the linear equation?

A linear equation is a one-degree equation. The equation includes the variable of the highest power one. The standard form of an equation is Ax + B = 0, where x is the variable, A is the coefficient and B is a constant.

To solve the linear equation we need to find the unknown variable which satisfied the given linear equation.

Electricians charge a fixed rate + an hourly rate

If he charges, $94 for a 3-hour call on Monday and $130 for a 5-hour call on Tuesday then charging for 2 extra hours is the difference between the two amounts.

130 - 94 = $36

for an hourly rate, it will be $18

For the fixed traveling charge, we will subtract the 3-hour rate from a fixed rate of $94 - 3 × $18 = $40

So, for x hour call the equation will be, 40 + 18x

for 2 hour service, the charges would be 40 + 18 × 2 = $76

Therefore, when the charge for 3 hours is $94 on Monday and $130 for 5- hour service on Tuesday would charge for 2-hour call service is $76.

Learn more about linear equations here:

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Answer 2

Answer: First you need to find what the hourly rate is and what the flat rate is. The hourly rate is $18 and the flat rate is $40. Then you add $40+ (18x). Substitute 2 in for x for the hours and get $76.

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Q6: Women's heights have a mean of 63.6 inches and a standard deviationof 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual

Answers

The corresponding z-score for a height of 70 inches is 2.56, which is considered unusual based on the standard threshold.

Use the concept of statistics defined as:

Statistics is a discipline of mathematics that deals with all aspects of data. Statistical knowledge aids in the selection of the appropriate technique of data collection and the use of those samples in the appropriate analysis process in order to effectively create the results. In short, statistics is an important procedure that assists in making data-driven decisions.

Given that,

The mean height of women: 63.6 inches

The standard deviation of women's heights: 2.5 inches

Height in question: 70 inches

Z-score formula: Z = (X - μ) / σ

The Z-score calculation for a height of 70 inches: Z = 2.56

Z-score interpretation: Unusual (greater than 2)

To find the z-score,

Use the formula:

Z = (X - μ) / σ

Where,

X is the value (in this case, 70 inches),

μ is the mean (63.6 inches),

σ is the standarddeviation (2.5 inches).

Calculating the z-score for a height of 70 inches:

Z = (70 - 63.6) / 2.5

Z = 6.4 / 2.5

Z = 2.56

So, the z-score corresponding to a woman with a height of 70 inches is 2.56.

Now, to determine if this z-score is usual or unusual,

Use the standard z-score table.

Usually, z-scores greater than 2 or less than -2 are considered unusual.

In this case,

The z-score is 2.56, which is greater than 2.

Hence,

The correct answer is B. The z-score is 2.56 which is unusual.

To learn more about statistics visit:

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Answer:

Step-by-step explanation:

Hopefully this helps

X = -1
Y = 3

5x^-6y^-2/y

Answers

$(5x^(-6)y^(-2))/(y) = (5(-1)^(-6)3^(-2))/(3) = (5(1)(1)/(9))/(3) =((5)/(9))/( 3)\n\n= (5)/(9) / 3 = (5)/(9) * (1)/(3) = \boxed{\bf{(5)/(27)}}$

Your answer is 5/27.

For f(x)=3x+4, find f(2) and find x such that f(x)=17

Answers

$f(x)=3x+4 \n \n f(2) =3x+4 = 3\cdot 2+4 =6+4 =10 \n \n \n f(x)=17 \n \n17=3x+4 \ \ |-4 \n \n3x+4-4 = 17-4\n \n 3x = 13 \ \ /:3 \n \nx=(13)/(3)\n \nx=4(1)/(3)$

What is a 2c − 5b − c a − b simplified?

Answers

All you have to do is combine like terms. 2c and (-c) are like terms (-5b) and (-b) are like terms and a is a term. So, 2c combined with (-c) is C. (-5b) and (-b) combined is (-6b). Since a doesnt need to be combined with anything, you leave it as it is so your answer will then be c - 6b + a (this is the answer assuming that there is a + in front of the a. If there is a - sign, then just change your +a to -a at the end

12x - 23 + 2x = -5

Solve the math equation above?

Answers

$12x-23+2x=-5$

combine the like terms (x) so,

$12x+2x-23=-5$

so, this will give you: $14x-23=-5$

now, remove the numbers

so, $14x=-5+23$

this will give you : $14x+18$

$x = (18)/(14)$

$x = 1.285714286$

12x - 23 + 2x = -5
14x-23=-5 /+23
14x=18
x=18/14=9/7
x= $1 (2)/(7)$

What are the solutions to the quadratic equation 4x2 + 28x = 0?x = 4 and x = −7
x = 4 and x = 7
x = 0 and x = −7
x = 0 and x = 7

Answers

4x^2 + 28x = 0

First step: take out the GCF

4x(x + 7) = 0

2nd step: equal each expression to 0

4x = 0
(x + 7) = 0

3rd: solve

4x= 0
x = 0
x + 7 = 0
x= -7

So the answer is x= 0 and x= -7

Answer:

x=0

x= -7

Step-by-step explanation:

just took the test

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