In the parallelogram shown in the picture solve for Z

Mr. Alvarez makes a walkway out of 3 cement slabs. he uses 14 cubic feet of cement to make the walkway. each square slab has a v

igor_vitrenko [27]

4+4=8
14-8=
6 cubic feet.

4 0

2 years ago

Which phrase can be represented by an equation? twice as much as a number 12 less than a number half of a number is 15 the diffe

jeka57 [31]

Answer:

Half of a number is 15

Step-by-step explanation:

First of all, add commas between each option so it's easier to read I had a hard time figuring out what the options were because of this.

An equation is a statement that the values of two mathematical expressions are equal. An expression is a collection of symbols that jointly express a quantity. This means there has to be an equal sign when the phrases are put into numerical form.

Twice as much as a number: 2X

12 less than a number: X - 12

Half of a number is 15: X/2 = 15

The difference of 20 and a number: 20 - X

As you can see, only one of these phrases is an equation by definition, and that is X/2 = 15, or half of a number is 15. That's because it's the only one that values two expressions as equal.

4 0

2 years ago

Read 2 more answers

Which situation can be represented by the inequality 4x − 25 < 125?

GaryK [48]

First add 25 to both sides of the inequality.
You get 4x < 150
Now divide both sides by 4.
You get x < 37.5
So x can be anything less than 37.5, such as 36, 35 or 34.

8 0

3 years ago

A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass

lara [203]

Answer:

Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

Step-by-step explanation:

The correlation matrix provided is:

Variables Paper Glass

Paper 1 0.1853

Glass 0.1853 1

Te hypothesis for the test is:

H₀: ρ = 0 vs. H₀: ρ ≠ 0

The test statistic is:

r = 0.1853 ≈ 0.185

As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.

The critical value for the two-tailed test is:

$r_{\alpha/2, (n-2)}=r_{0.05/2, (62-2)}=r_{0.05/2, 60}=0.250$

The conclusion is:

Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

6 0

3 years ago

Carter Motor Company claims that its new sedan, the Libra, will average better than 26 miles per gallon in the city. Use μ, the

Aleonysh [2.5K]

Answer:

The true average mileage of the Libra Using Null hypothesis is as ;

H0:μ≤26

(Ha):μ >26

Step-by-step explanation:

Given:

Libra, will average better than 26 miles per gallon in the city

To Find:

Average mileage of the Libra.

Solution:

This problem is related to the null hypothesis and alternate hypothesis.

i.e Null Hypothesis is the statement which is true and statement which contradictory is called alternate hypothesis.

“reject H0” if the sample information favors the alternative hypothesis. 

“do not reject H0” / “decline to reject H0” if the sample information is insufficient to reject the null hypothesis

So given that condition is libra will have average better than 26

So it will include 26 and above values .

i.e. True condition is called as null hypothesis (H0)

so true average will be greater than 26

So H0:μ≤26

And the Alternate hypothesis will be the contradictory to true condition

(Ha):μ >26 .

7 0

2 years ago