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Alla [95]
3 years ago
5

Seven less than a number, divided by 5, is -2

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

\frac{x - 7}{5} = 2 \\cross \: multiply \\ x - 7 = 10 \\ x = 17

hope this helps you

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If the constant of variation is 12 and y = 36, what does x equal?
exis [7]
Y=kx
k=constant of variation

given
k=12
y=36

36=12*x
divide both sides by 12
3=x

x=3
8 0
3 years ago
Determine whether each mapping represents a function. Explain your reasoning.
FinnZ [79.3K]

Answer:

The first picture is a function and the second picture is not.

Step-by-step explanation:

Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.

4 0
2 years ago
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
2 years ago
What is 42÷(15-2 by the power of 3<br><img src="https://tex.z-dn.net/?f=42%20%5Cdiv%2815%20-%202%20%7B%7D%5E%7B3%7D%20%29" id="T
tigry1 [53]
Answer: 6

Explanation: first you have to get rid of the 2 power of 3, 2 x 2 x 2 is 8. Then 15-8=7. Then 42➗7 is 6
4 0
3 years ago
dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success
kolbaska11 [484]

Answer:

\frac{1}{2}

Step-by-step explanation:

The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.

Probability is defined as the number of favorable outcomes divided by the total number of outcomes.

<em>Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.</em>

Thus,

P(Heads) = 1/2

3 0
3 years ago
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