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3 years ago

Solve the following equation -5-7y=-20y+34

Mathematics

1 answer:

Zanzabum3 years ago

4 0

Answer:

y=3

Step-by-step explanation:

-5-7y=-20y+34 you add the 5 over and add 20y to the other side to get this:

13y=39 then you divide that by 13 to get the anser of 3.

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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te

alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = $\frac{1}{4}$ .

Thus, the probability that the student does not receive version A = $1-\frac{1}{4}$ = $\frac{3}{4}$ .

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

$\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}$

= $(\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5$

= $(\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]$

= $(\frac{3}{4^4})[1+\frac{1}{16}]$

= $(\frac{3}{256})[\frac{17}{16}]$

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

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3 years ago

5. Trista has of a yard of ribbon to use for making decorative frames. If one frame used

Lunna [17]

0 yards remaining if she used one yard

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3 years ago

If Pam can install 12 insulators in 15 hours, how long does it take to install one insulator

Xelga [282]

The time it takes to install 1 insulator would be 1.25 hours

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3 years ago

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A show uses 12 gallons of water in three minutes complete the table and the graph.

gregori [183]

Answer:

2 mins= 8 gallons 3 mins= 12 gallons 4 mins= 16 gallons 5 mins= 20 gallons 6 mins= 24 gallons

Step-by-step explanation:

12 divided by 3 equals 4 so just multiply 4 by each minute

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3 years ago

PLEASE HELP!!!! <br><br><br> What are the missing angles ?

miss Akunina [59]

Answer:

The answer for the first picture is 84

The answer for the second picture is 36

Step-by-step explanation:

The first triangle is a isosceles triangle which means that two angle lengths must be the same. We use the only angle measurement which is 48 and subtract it from 180 twice because there are two angles lengths that are the same, once we subtract from 180 we have 84. The same process is followed for the second triangle.

180-48-48=84

Second Triangle:

180-72-72=36

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3 years ago

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