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Natalka [10]
3 years ago
8

Find variable y : -90=5y-20

Mathematics
1 answer:
NeTakaya3 years ago
7 0

-90= 5y-20

-90+20= 5y-20+20

-70=-5y

-70/-5= -5y/-5

y= 14

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Can you use the Pythagorean theorem to relate thethree sides of this triangle?
irina1246 [14]

Answer:

You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse.

6 0
3 years ago
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of
Olin [163]

Answer:

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X \sim N(17.5,4)  

Where \mu=17.5 and \sigma=4

Since the distribution for X is normal then, the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)

We select a sample of n =50 people. And we want to find the following probability

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

4 0
3 years ago
A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a
RideAnS [48]

Answer:

16.25$

Step-by-step explanation:

4.25 times 3 = 12.75

vase- 3.50

12.75 + 3.50 = 16.25$

with 3.25$ left.

6 0
3 years ago
Read 2 more answers
4. Which of the following lines is perpendicular to y = -2X + 8?
Alenkinab [10]

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.

That is to say:

m_ {1} * m_ {2} = - 1

We have the following equation:

y = -2x + 8

So:

m_ {1} = - 2

Thus:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m = \frac {1}{2}

Thus, a line perpendicular to the given line must have slope m = \frac {1} {2}.

Option A:

x + 2y = 8\\2y = -x + 8\\y = - \frac {1} {2} x + 4

It is not perpendicular!

Option B:

x-2y = 6\\2y = x-6\\y = \frac {1} {2} x-3

If it is perpendicular!

Option C:

2x + y = 4\\y = -2x + 4

It is not perpendicular!

Option D:

2x-y = 1\\y = 2x-1

It is not perpendicular!

The correct option is option B

ANswer:

Option B

5 0
3 years ago
What is the equation of this line?<br> y=3/2x −2<br> y=−2x+3/2<br> y=−2x+2/3<br> y=2/3x −2
podryga [215]
The answer is the last one, y = 2/3 -2
Use the rise over run strategy on linear functions such as this one
7 0
2 years ago
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