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3 years ago

9=-7m+1-6 I don't know how to do it

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

This is how you solve it. The answer is -2

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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%.

4 0

2 years ago

A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?

Sever21 [200]

6.80/8 = 0.85 + 0.25= 1.10

4 0

2 years ago

Read 2 more answers

In a bag of red and green tomatoes the ratio of red tomatoes to green tomatoes is 3:4. If the bag contains 120 green tomatoes, h

nignag [31]

It would be 90 because it’s kinda self explanatory

8 0

2 years ago

Read 2 more answers

Can someone help find X on the Triangle plssss

Georgia [21]

Answer:

<em>x </em>= 128°

Step-by-step explanation:

Its an isosceles triangle, so it has 2 two sides of equal length. and from here we can say that it has two angles that are the same, 26° and 26° we know that in a triangle there are 180° in total so we add up the two angles we know 26+26=52 and subtract it by 180 which equals 128°

7 0

3 years ago

A certain bean plant grows 15% of its height each day today after 10 days the bean plant is 27 inches tall how tall was it yeste

frez [133]

Given:
15% of its height each day
27 inches on day 10.

How tall was it yesterday?

27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.

27 ÷ 115% = 23.48 inches.

The plant was 23.48 inches tall yesterday.

To check:
23.48 x 15% = 3.52 inches
23.48 + 3.52 = 27 inches

3 0

3 years ago