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weeeeeb [17]
3 years ago
11

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they w

ill get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. What is the probability that a randomly selected student studies for a test and gets a B or higher?
A) 0.08
B) 0.11
C) 0.33
D) 0.55
Mathematics
2 answers:
Mama L [17]3 years ago
6 0

Answer:

D

Step-by-step explanation:

stira [4]3 years ago
3 0

Answer:

0.33

Step-by-step explanation:

Edge 2020

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What is the answer to this solution. -7r−4≥ 4r+2
tia_tia [17]

Answer:

The solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

-7r-4\ge \:4r+2

Add 4 to both sides

-7r-4+4\ge \:4r+2+4

Simplify

-7r\ge \:4r+6

Subtract 4r from both sides

-7r-4r\ge \:4r+6-4r

Simplify

-11r\ge \:6

Multiply both sides by -1 (reverses the inequality)

\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)

Simplify

11r\le \:-6

Divide both sides by 11

\frac{11r}{11}\le \frac{-6}{11}

Simplify

r\le \:-\frac{6}{11}

Therefore, the solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

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zlopas [31]

Answer:

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Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be x.

And the cost of a bottle of hand sanitizer be y.

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

4x+y=12\\\\y=12-4x\ \ \ \ .....(1)

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

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Substituting the value of y from equation (1):

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<em>Subtracting both sides by 60 we get:</em>

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Now, substituting the value of x in equation (1):

y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.

<u>The cost of a bottle of hand sanitizer = $4.</u>

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

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Answer:

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Step-by-step explanation:

7 0
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