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3 years ago

Find the unit price of 8 mugs that cost $38.32 total

Mathematics

2 answers:

Nadya [2.5K]3 years ago

8 0

Answer:

The unit price is 4.79

Step-by-step explanation:

Divide 38.32 by 8 go get the cost of one mug, and that is your unit price :)

kipiarov [429]3 years ago

4 0

Answer:

4.79

Step-by-step explanation:

all together the total is 38.32

you want to find one so you do

38.32 ÷ 8 = $4.79

hope it helps!

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The average fine for entering a national Forest wilderness without a permit increased from $65 to $78. What rate of increase is

andrezito [222]

20%

A change from 65 to 78 represents a positive change (increase) of 20%

Use the formula found below to find the percent change by replacing the given values:

Percent change = [(New - Old ) / |Old|] x 100%

3 0

3 years ago

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If a man can weave 450m in 6 hours. How many metres of cloth can he weave in 12 hors

Wittaler [7]

Answer: 900m

Explanation.

There are two ways you can solve to find the number of meters waved...I’ll show you how to do both.

Plan A:
1. Find the rate of meters weaves per hour by dividing 450 meters by 6 hours. The answer is 75 meters per hour.
2. Multiply the rate per hour (75) times 12 to find how many meters are weaved on 12 hours.

Plan A Answer: 900m

Plan B:
1. Set up a proportion like the one below:
2. Cross multiply and solve for x

Plan B answer: 900m

6 0

2 years ago

A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student wil

algol13

Answer:

P(Topic A) = 0.91

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A).

Step-by-step explanation:

If Topic A is chosen, 2 books will be ordered (n=2)

If topic B is chosen, 4 books will be ordered (n=4)

Probability that a book arrives in time (p) = 0.7

Probability that a book does not arrive in time (q) = 1 - p = 1 - 0.7 = 0.3

We will <u>use the binomial distribution</u> to find out which topic should the student choose to maximize the probability of writing a good paper. The binomial distribution formula is:

P(X=x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

q = probability of failure

n = total no. of trials

x = no. of successful trials

For Topic A, n = 2, p=0.7 and q=0.3. If topic A is chosen, the student will use at least half the books i.e. he will use either 1 or 2 books. So,

P(Topic A) = P(X=1) + P(X=2)

=²C₁ (0.7)¹(0.3)²⁻¹ + ²C₂ (0.7)²(0.3)²⁻²

= 0.42 + 0.49

P(Topic A) = 0.91

For topic B, n=4, p=0.7 and q=0.3. If topic B is chosen, the student will choose 2 or more books i.e. 2, 3 or 4 books.

P(Topic B) = P(X=2) + P(X=3) + P(X=4)

= ⁴C₂ (0.7)²(0.3)⁴⁻² + ⁴C₃ (0.7)³(0.3)⁴⁻³ + ⁴C₄ (0.7)⁴(0.3)⁴⁻⁴

= 0.2646 + 0.4116 + 0.2401

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A) as calculated above.

3 0

3 years ago

I need help help me

GrogVix [38]

Answer: the last one

Step-by-step explanation:

3 0

3 years ago

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. Mariam picks 9 2/20 kilograms of oranges. She gives 2 1/4 kilograms to her mother.

otez555 [7]

Answer:

a) 6 17/20

b) 10 31/60

Step-by-step explanation:

a) 9 2/20 - 2 1/4 = 137/20 = 6 17/20

b) 6 17/20 + 3 2/3 = 631/60 = 10 31/60

5 0

2 years ago