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OLga [1]
3 years ago
11

At a large university, the probability that a student takes calculus and is on the dean's list is 0.042. the probability that th

e student is on the deans list is 0.21. Find the probability that the student is taking calculus, given that he or she is on the deans list.
Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0
As this is probability, we can use the next formulas and tell how is this going to be:
P(A) = student on the dean's list 
<span>P(B) = student taking calculus </span>
<span>P(A n B) = 0.042 </span>
<span>P(A) = 0.21 </span>
<span>So, P(B) = 0.042/0.21 </span>
<span>= 0.2
So the probability here is of 0.2</span>
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How many inches is each slice of pizza?
mariarad [96]

Hey!


First, let's find the area. The formula for finding area of a circle is: π · r²


Radius is ½ of the diameter. Divide the diameter by 2 to get the radius.


d = 18

18 ÷ 2 = 9


r = 9

r² = 9 × 9 = 81


The area of the whole pizza is 81π. There are 10 slices. Divide the area of the whole pizza by 10 to find the area of 1 slice.


81π ÷ 10 = 8.1π


<em>That means each slice is 8.1π inches²</em>

4 0
3 years ago
Read 2 more answers
Mike and Beth both write the decimal 0.8 (0.88888...)as a fraction. Mike: 45 Beth: 89 Which student wrote the correct fraction?
fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

we have

0.888...

This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

x=0.888...

10x=8.888...

Subtract 0.888... from 8.888... to remove the decimal

10x-x=8.888...-0.888...

9x=8

Solve for x

x=8/9

therefore

Mike fraction is incorrect

because 4/5=0.8

0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)

Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal

Beth is correct

because

If you divide 8/9

the result is 0.8888888...

3 0
2 years ago
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans the total cost is $
inna [77]

The cost for each pound of trail mix and each pound of jelly is given below.

Step-by-step explanation:

Let t = cost/pound of trail mix

Let j = cost/pound of jelly beans

5t + 6j = 35

3t + 2j = 15  =  > 2j = 15 - 3t

5t + 3(15 - 3t) = 35

5t + 45 - 9t = 35

- 4t + 45 = 35

- 4t  =  - 10

4t = 10

t = 2.5

3(2.5) + 2j = 15

7.5 + 2j = 15

2j = 7.5

j = 3.75

7 0
3 years ago
The square below has a side length of 14 inches. What is the area of the shaded region?
hichkok12 [17]

Answer:

14 square units

Step-by-step explanation:

7 0
2 years ago
Rectangle QRST is dilated with the origin as the center of dilation to create rectangle Q'R'S'T'.
scoundrel [369]

Answer:

Rule: dilation about the origin by a scale factor of 2

Step-by-step explanation:

Given

See attachment for QRST and Q'R'S'T

Required

The dilation rule

First, we calculate the scale factor (k)

From the attachment, we have:

QR = 4

Q'R' = 8

k, is then calculated as:

k = \frac{Q'R'}{QR}

k = \frac{8}{4}

k =2

<em>Hence, QRST is dilated by a factor of 2</em>

3 0
3 years ago
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