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3 years ago

A plumber charges $70 per hour $40 for the call. What does he charge for 4 hours of work Use x to represent the hours of work

Mathematics

1 answer:

marin [14]3 years ago

8 0

F(x)=70x+40
f(4)=280+40
f(4)=320
He will make $320 in 4 hours.

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If the standard deviation of a set of data is zero, what can you conclude about the set of values? The sum of the deviations fro

Rashid [163]

Answer:

All values are identical.

Step-by-step explanation:

We are given the following in the question:

If the standard deviation of a set of data is zero.

Then, all the values in data are identical.

This can be shown as:

Let all the terms in data be x.

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{nx}{n} = x$

Sum of squares of differences =

$\displaystyle\sum (x_i - x)^2 = 0$

$\sigma = \sqrt{\frac{0}{n}} = 0$

Thus, the correct answer is

All values are identical.

3 0

3 years ago

See image for question.

kotegsom [21]

Answer:

(a)

<u>Sample space:</u>

1*1, 1*2, 1*3, 1*4,
2*1, 2*2, 2*3, 2*4,
3*1, 3*2, 3*3, 3*4,
4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

(i) P(even) = 12/16 = 3/4
(ii) P(3x) = 7/16
(iii) P(perfect square) = 4/16 = 1/4

(a) <u>Sample space:</u>

1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

P(H) = 4/8 = 1/2

6 0

3 years ago

Chris can be paid in one of two ways. Plan A is a salary of $490 per month, plus a commission of 9% of sales. Plan B is a sal

skad [1K]

Answer:

$390+0.07s=$544+0.05s Subtract $390 from each side.

0.07s=$154+0.05s Subtract 0.05s from each side.

0.02s=$154 Divide each side by 0.02.

s=$7700 Both plans pay the same when sales=$7700

ANSWER With sales greater than $7700, Chris is better off with Plan A.

5 0

2 years ago

What is a bar graph ?

Gre4nikov [31]

Answer:

a diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width.

Step-by-step explanation:

5 0

2 years ago

This jar has 1 red, 74 yellow, and 25 green gumballs. What are the chances of picking a green gumball? the red one?

kari74 [83]

Answer: green = 25/100, red = 1/100

Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100

5 0

3 years ago