MATHEMATICS HIGH SCHOOL

Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks and also takes orders in advance for fruit cups that cost $3 each. 1. describe the domain of the function both in words and numbers?
2. what is the range?

Answers

Answer 1

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

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Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. Three cards are selected from a standard 52-card deck without replacement. The number of acesaces selected is recorded. Does the probability experiment represent a binomial experiment?

Answers

Answer:

No. See explanation below.

Step-by-step explanation:

Since the cards are being selected without replacement, every time we select a card, the probability varies (since there is one less card) and therefore, the probability doesn't remain the same for every trial and therefore, the probability of success changes for every trial.

It is because of this that this probability experiment doesn't represent a binomial experiment.

The sum of 1/6, 2/3, and 1/4 is A. 2/72, or 1/36.
B. 11/12.
C. 4/12, or 1/3.
D. 13/12, or 1 1/12.

Answers

D. 13/12, or 1 1/12.
it's correct

A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?

Answers

diagonal
draw an immaginary line diagonal
now yo has right triangle

pythagorean theorem
if yo has a right triangle with legs legnth a and b and hypotonuse c (diagonal), then a^2+b^2=c^2

legs are 24 and 18
18^2+24^2=c^2
324+576=c^2
900=c^2
sqrt both sides
30=c

diagonal legnth=30 inches

The simple answer is D :)

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Answers

Answer:

15.48

Step-by-step explanation:

Just multiply 36 by .43 = 15. 48

.48

______

288 (8*6)+(8*30)

1440 (40*6)+(40*30)

1548 (move to the left 2 places since there are two decimal places ---> .48)

15.48

Or just use a calculator.

How many ways can the letters in the word poster be arranged

Answers

Answer:

720

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

The Kahn's Family lives in a house that has a backyard in the shape of an isosceles trapezoid and a triangle. The area of the backyard can be expressed as the sum of the area of the triangle and the area of the trapezoid, which is 1/2bh+1/2(p+q)L The base and the height of the triangle are represented by b and h, respectively. The bases of the trapezoid are p and q, and the height of the trapezoid is L. 2 Rearrange the formula to find the length of base as a function of the lengths of the other sections of the backyard.