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den301095 [7]
3 years ago
13

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?
0.08
0.11
0.33
0.55
Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

.33

Step-by-step explanation:

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Vlada [557]

Answer:  x = 34

Step-by-step explanation:

⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6

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3 years ago
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3 0
3 years ago
. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y
tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

x+y=5,000

x=5,000-y  -----> equation A

x \geq 0.25(5,000)

x \geq \$1,250 -----> inequality B

y \leq 0.50(5,000)

y \leq \$2,250 -----> inequality C

x \geq \frac{1}{2}y -----> inequality D

Substitute equation A in the inequality D and solve for y

5,000-y \geq \frac{1}{2}y

Multiply by 2 both sides

10,000-2y \geq y

Multiply by -1 both sides

-10,000+2y \leq -y

Adds y both sides

-10,000+2y+y \leq 0

-10,000+3y \leq 0

adds 10,000 both sides

3y \leq 10,000

Divide by 3 both sides

y \leq \$3,333.33 -----> inequality E

therefore

<em>Solve for y</em>

we have

y \leq \$2,250 -----> inequality C

y \leq \$3,333.33 -----> inequality E

The solution of inequality C and inequality E is

y \leq \$2,250

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so

x \geq \$2,750 -----> inequality F

<em>Solve for x</em>

we have

x \geq \$1,250 -----> inequality B

x \geq \$2,750 -----> inequality F

The solution of inequality B and inequality F is

x \geq \$2,750

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

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Ryan made a $3ooo down paymen tona car.The total coast of the car was $7500.he made 36 equal monthly payment to pay the car in f
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Ryan payed $125 per month. Steps below.

7,500 - 3,000 = 4,500

4,500 / 36 = 125.

4 0
3 years ago
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