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bulgar [2K]
3 years ago
10

Evan's mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds of pasta to make dinner for 4 people. Use this informati

on to answer ALL FOUR PARTS below. Question: Part A: Each person will receive an equal share of beef with none left over. What is the amount, in pounds, of each serving of beef? Part B: Each person will receive an equal share of shrimp with none left over. What is the amount, in pounds, of each serving of shrimp? Part C: Each person will receive an equal share of pasta with none left over. What fraction represents the amount, in pounds, of each serving of pasta? Part D: Evan only ate 1/2 of the pasta that he received. What is the amount, in pounds, of pasta did Evan eat? Explain how you got this answer step-by-step using math vocabulary.
Mathematics
1 answer:
Damm [24]3 years ago
4 0
B is the correct answer!

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A class consists of 8 students ​(four boys and four ​girls) and one teacher. In how many ways can the students sit in a​ circle?
Svetach [21]

Answer: 5040ways

Step-by-step explanation:

This is a circular permutation question. Arrangement of objects in a circular path is (n-1)! where n is the amount of object. Since there are 8 students sitting in a circle excluding their teacher, they can sit in (8-1)! ways i.e 7! ways

7! = 7×6×5×4×3×2×1

7! = 5040ways

This means the students can sit in a circle in 5,040 ways

8 0
3 years ago
What is the value of x in the figure below?
cluponka [151]

Answer:

choice f

Step-by-step explanation:

take ∆ abc

ab^2 = ac^2 + ab^2

400 = 225 + ab^2

ab =√ 175

∆aDB

bd = 20-x

ad^2 = 175 -(20-x)^2

∆acd

225 = x^2 + 175 - 400+ 40x - x^2

225 = -225 + 40x

450 = 40x

x = 45/4

8 0
2 years ago
The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20
Yuri [45]

Answer:

a) Null and alternative hypothesis

H_0: \mu=1503\\\\H_a:\mu< 1503

b)  Point estimate d = -$78

c) Test statistic t = -2.438

P-value = 0.0113

Reject H0. We can conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that automobile insurance in Pennsylvania is significantly cheaper than the national average.

Then, the null and alternative hypothesis are:

H_0: \mu=1503\\\\H_a:\mu< 1503

The significance level is 0.05.

The sample has a size n=25.

The sample mean is M=1425.

A point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated with the sample mean:

d=M-\mu=1425-1503=-78

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=160.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{160}{\sqrt{25}}=32

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1425-1503}{32}=\dfrac{-78}{32}=-2.438

The degrees of freedom for this sample size are:

df=n-1=25-1=24

This test is a left-tailed test, with 24 degrees of freedom and t=-2.438, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.0113) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that automobile insurance in Pennsylvania is significantly cheaper than the national average.

8 0
3 years ago
A container in the shape of a rectangular prism is shown. What is the volume, in cubic inches, of the container? V = lwh
Gala2k [10]

Answer:

V=2551.5\ in^3

Step-by-step explanation:

Given that,

Length of the prism, l = 20\dfrac{1}{4}\ in

The breadth of the prism, b = 10\dfrac{1}{2}\ in

The height of the prism, h = 12 in

We need to find the volume of the prism. The formula for the volume of a rectangular prism is given by :

V=lwh

Put all the values,

V= 20\dfrac{1}{4}\times 10\dfrac{1}{2}\times 12\\\\V=2551.5\ in^3

So, the volume of the rectangular prism is equal to 2551.5\ in^3.

3 0
3 years ago
What is the opposite of the opposite of negative 52?
s2008m [1.1K]

Answer:

-52

Step-by-step explanation:

Think of it this way.  Opposite means to take the negation.  So we are taking the negation of the negation of negative 52.  This means mathematically:

- ( - ( -52 ) ) == -52

Cheers.

6 0
4 years ago
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