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Vladimir79 [104]
3 years ago
9

Which equation represents a direct linear variation?

Mathematics
2 answers:
kvasek [131]3 years ago
7 0
No don't pleeeeeeassssseeer
ss7ja [257]3 years ago
4 0

equation y =1/3 x is a direct variation


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How many positive integers are between 3/2 and 21/4 ?<br> A : 2<br> B : 3<br> C : 4<br> D : 5
kvasek [131]

Answer:

4 integers

Step-by-step explanation:

We are given with two fractions

3/2 = 1.5  and 21/4 = 5.25

Let us draw a number line first and then we plot these two numbers on them.

Please refer to the picture attached. Here we see the number line in black line , where the integers are starting with 0. We have plotted the numbers 1.5  and 5.25  in red.

We are asked to determine the number of integers that lies between 1.5 and 5.25.

The definition of integer says , the whole numbers which be negative also including 0.

Hence we can see that there are 4 whole numbers between 1.5 and 5.25 ,

2,3,4,5

Hence our answer is 4 integer

5 0
4 years ago
he length of time to perform an oil change at a certain automobile repair shop is ap-proximately normally distributed with mean
Simora [160]

Answer:

56.75% probability that a mechanic can complete 16 oil changes in an eight-hour day

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 29.5, \sigma = 3

What is the probability that a mechanic can complete 16 oil changes in an eight-hour day

16 oil changes in 8 hours is 2 changes per hour, that is, one each 30 minutes.

This probability is the pvalue of Z when X = 30. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 29.5}{3}

Z = 0.17

Z = 0.17 has a pvalue of 0.5675

56.75% probability that a mechanic can complete 16 oil changes in an eight-hour day

4 0
3 years ago
Help please!! will give brainlest
Dmitry [639]

Answer:

Step-by-step explanation:

8 0
3 years ago
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn
Sauron [17]

Answer:36%

Step-by-step explanation:

Because theres way more

5 0
3 years ago
Read 2 more answers
Delia is a graphic designer who charges an hourly rate. She made the graph to show her total earnings for various numbers of hou
stich3 [128]

Answer:

approximately 7 hours

see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

Let

x ----> the time worked in hours

y ----> the amount earning in dollars

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

so

In this problem we have a proportional relationship

step 1

Find approximately how many hours would it take Delia to earn $250 ?

Looking at the graph

For y=$250 The value of x is approximately 7 hours

see the attached figure N 2

step 2

Find the exact value

from the graph take the point (5,175)

Find the value of k

k=\frac{y}{x} ----> k=\frac{175}{5}=\$35\ per\ hour

The linear equation is

y=35x

For y=$250

substitute

250=35x

solve for x

x=7.14\ hours

8 0
3 years ago
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