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3 years ago

At a local grocery store, the cost of apples varies directly with the weight of the apples. If a 5-pound bag

Mathematics

1 answer:

son4ous [18]3 years ago

6 0

Answer:

$4.72

Step-by-step explanation:

7.87÷5=1.574

1.574×3=4.722

so, $4.72 is your answer.

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A triangle has an area of 600 square feet. The height of the triangle is 20 feet. The base of the triangle is

sdas [7]

Answer: 60

Step-by-step explanation:

Area = ½base × height

600 = ½b × 20

600/20 = ½b

Base = 30 × 2

7 0

2 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

3 years ago

a class is having their picture taken. the photographer positions himself 21 feet from the center of the row of students. When t

Papessa [141]

Answer:

Step-by-step explanation:

tbh I am not sure if this is right but here

6 0

3 years ago

A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasi

Pani-rosa [81]

The answer is the B one or 2%.

8 0

3 years ago

Tina left for school at 8:35 a.m. and she got back home at 3:45 p.m. How long was

a_sh-v [17]

Answer:

430 minutes or 7 hours and 10 minutes

Step-by-step explanation:

From 8:35 am to 9 am is 25 minutes. There are 60 minutes in an hour and 9 am to 3 pm is 6 hours. 3:00 to 3:45 pm is an additional 45 minutes.

60 minutes x 6 hours = 360 minutes

360 + 25 + 45 = 430 minutes

3 0

3 years ago

Read 2 more answers