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3 years ago

5

Find the distance between the points with cordintes (-26,0

1 answer:

Alexandra [31]3 years ago

4 0

You need to submit another coordinate.

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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

3 years ago

What is the answer to this 3(k−6)=15

Alchen [17]

Answer:

11

Step-by-step explanation:

First distribute the 3 to both the numbers inside of the parentheses:

3(k)-3(6)=15

3k-18=15

Add 18 to both sides

3k=33

Divide 3 from both sides to isolate k

k=11

5 0

3 years ago

Select the answer choice showing the correct conversion of 2 miles to feet. There are 5280 feet in 1 mile.

ANTONII [103]

Answer:

you need to provided the answer choices

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

How do i place the inequality of x is less than or equal to 6 on the graph

bearhunter [10]

Circle above 6 than an arrow going behind 6

8 0

4 years ago

The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake scored 520 on

natta225 [31]

Subtract the mean from Jake's score:

520 - 500 = 20

Divide by the standard deviation:

20/60 = 0.33

Jake scored 0.33 standard deviation above the mean.

From the Z-table, 0.33 = 0.6293 = 62.93% of students scored below Jake.

Round to 63%

3 0

3 years ago

Read 2 more answers