MATHEMATICS COLLEGE

Ruth has the following set of refrigerator magnets: {A, B, C, D, E}. (a) How many different three-letter strings can she form with these magnets? (b) How many different three-letter strings can she form if the middle letter must be a vowel?

Answers

Answer 1

Answer:

Answer:

a. 60

b.24

Step-by-step explanation:

a. We use permutation, it would be 3 taken out of 5, or 5*4*3

b.if A or E must be used, then we have 4*3*2

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Solve for the missing variables
x=?
y=?

Answers

Answer:

x=70; y=55

Step-by-step explanation:

So with the triangle with x, you can tell that the triangle is an icoceles based on how 2 of it's sides are equal lengths.

And so, an icoseles traingle also has two of the same angles so you can say that

55+55+x=180

110+x=180

x=70

Now the triangle with y is also an isoceles, and you can see that there is a verticle angle pair.

So,

y+y+70=180

2y=110

y=55

and to double check,

55+55+70=180

110+70=180

180=180

Hope it helped!

QuestionThe area of a triangular painting is 50 square inches. The base is 20 inches. What is the height?
Provide your answer below:
inches
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The area of a triangular painting is 50 in.² the base is 20 inches what is the height

Answers

The height of the triangle is 5 inches.

Area of the triangle:

The region occupied by a triangle within its sides is known as the area of the triangle. The area of a triangle can be calculated by the calculating product of the base and height of the triangle with a half i.e 1/2. The formula for the area of the triangle is given by

Area of triangle = (1/2) × base × height

Here we have

Area of the triangle = 50 in²

The base of the triangle, b = 20 inches

As we know,

Area of the triangle = 1/2 (base × height)

From the given data,

=> 50 = 1/2 (20 × height)

Multiply by 2 on both sides

=> 100 = (20 × height)

Divided by 20 into both sides

=> 100/20 = (20 × height)/20

=> 5 = height

=> height = 5 in

Therefore,

The height of the triangle is 5 inches.

Learn more about Triangles at

brainly.com/question/28977020

#SPJ1

Suppose you are asked to choose a whole number between 1 and 13, inclusive. (a) What is the probability that it is odd? (b) What is the probability that it is even? (c) What is the probability that it is a multiple of 3?

Answers

a. this depends on if 1 and 13 are included. If so, it would be 7 of 13. If not, 5 of 11
b. same thing, depends on if 1 and 13 are included. If so, 6 of 13. If not, 6 of 11
c. again, depends. If so, 4 of 13. If not, 4 of 11

Rebekah wants to read a certain number of pages each day during summer vacation.Today, she read 204 pages, which is 136% of her goal.
How many pages does Rebekah want to read each day?
A. 75 pages
B. 130 pages
C. 150 pages
D. 560 pages

Answers

Answer:

C. 150 pages

Step-by-step explanation:

204 divided by 136 = 1.5

1.5 * 100 = 150

Hope it helps! :)

The answer is C

204 divided by 136 = 1.5

1.5 • 100 = 150

Using the diagram in #1, which segment(s) are parallel to BC?

Answers

Answer: Segment FE

Step-by-step explanation:

never intesects with segment BC

Blood potassium level, continued. Judy’s measured potassium level varies according to the Normal distribution with with μ=3.8 and σ=0.2mmol/l. Let’s consider what could happen if we took 4 separate measurements from Judy. What is the blood potassium level L such that the probability is only 0.05 that the average of 4 measurements is less than L? (Hint: This requires a backward Normal calculation.)the book says about 3.64 but i got 3.28