PLEASE HELP ASAP WITH#4

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

3 years ago

HI! I HAVE A TEST ON MONDAY AND IM TRYING TO STUDY, IM KINDA STUCK ON HOW TO DO THIS PROBLEM..

sergij07 [2.7K]

Answer: See below

Step-by-step explanation:

number of yellow pieces/number of blue pieces

= 14/24

= 7/12 --> 7 to 12 --> 7:12

The ratio that represents the number of yellow pieces to the total number of pieces is part-to-whole

number of yellow pieces/total number of pieces

= 14/100

= 7/50 --> 7 to 50 --> 7:50

The ratio that represents the number of blue pieces to the total number of pieces is part-to-whole

= 24/100

= 6/25 --> 6 to 25 --> 6:25

8 0

2 years ago

On 7 jobs, a welder charges 3.5 hours, 9.5 hours, 4 hours, 5.5 hours, 12 hours, 8.5 hours, and 6 hours. Find the average hours b

defon

All you need to do is add all 7 job hours, and divide the total by 7. Your answer should be 7

3 0

3 years ago

If f(x) = -7x + 5x2 + 10, what does f(-2) equal?

aksik [14]

Answer:

f(-2) = 44

Step-by-step explanation:

Hello there! Lets get started solving this function!

For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!

$f(x) = -7x + 5x^{2} + 10\\f(-2) = -7(-2) + 5(-2)^{2} + 10\\f(-2) = 14 + 20 + 10\\f(-2) = 44\\$

First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.

Hope this helps! Remember, math is fun!

7 0

3 years ago

Click on the point that best represents the location of −√5 on the number line.

navik [9.2K]

Answer:

The dot all the way on the left. The one between 2 and 3 I believe.

Step-by-step explanation:

8 0

3 years ago

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