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Assoli18 [71]
3 years ago
10

Solve the proportion 9/2 = 27/2y

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

y = 3

Step-by-step explanation:

We need to solve the below proportion in this problem,

\dfrac{9}{2}=\dfrac{27}{2y}

First of all, we cross multiply both sides such that,

9\times 2y=27\times 2\\\\18y=27\times 2

Dividing both sides by 18.

y=\dfrac{27\times 2}{18}\\\\y=3

For the above proportion, we find that the value of y is equal to 3.

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In an arithmetic sequence, term 10 is 33 and term 22 is -3. What are the first 4 terms
Anarel [89]

9514 1404 393

Answer:

  60, 57, 54, 51, ...

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

We would like to find the first term (a1) and the common difference (d). We can use the two given terms to find these parameters.

  a10 = 33 = a1 +d(10 -1)

  a22 = -3 = a1 +d(22 -1)

Subtracting the first equation from the second, we get ...

  (-3) -(33) = (a1 +21d) -(a1 +9d)

  -36 = 12d

  -3 = d

Using this value in the first equation, we can find a1.

  33 = a1 +9(-3) = a1 -27

  60 = a1 . . . . . . . . . . . . . . add 27 to both sides

So, our sequence has first term 60 and a common difference of -3.

The first 4 terms are ...

  60, 57, 54, 51, ...

8 0
3 years ago
The lowest or highest point of a function (never a linear function, though).<br> I
spin [16.1K]

Answer:

The minimum and maximum

Step-by-step explanation:

4 0
4 years ago
What is the slope of the line?<br>what is the equation of the line?
sertanlavr [38]

Answer:

The slope of the line is 4/2, or 2.

The equation of the line is y + 1 = 2(x − 1)

<h2><u>Hope This Helped!</u></h2>

8 0
3 years ago
An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, a
belka [17]

Answer:

C. Type I error

Step-by-step explanation:

Hello!

The hypothesis tested was:

H₀: μ = 7

H₁: μ > 7

The decision was taken: Reject the null hypothesis.

Reminder:

There are four decisions you can take when you make a hypothesis test.

1. Reject the null hypothesis when the hypothesis is false (This is a correct decision)

2. Reject the null hypothesis when the hypothesis is true (This decision is also known as Type I error)

3. Fail to reject the null hypothesis when the hypothesis is true (This is a correct decision)

4. Fail to reject the null hypothesis when the hypothesis is false (This decision is also known as Type II error)

Since they concluded, that the average process time vas greater than 7 days, when it was 7 days, they rejected the null hypothesis when it was true. This is a Type I error and its associated probability is α.

I hope it helps!

6 0
4 years ago
Find the area of the regular polygon and round the answer to the nearest tenth
almond37 [142]

Answer: 86.6 hopes this helps:)

Step-by-step explanation:

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