If 12=70% then what is 100%?

What number when multiplied by 5 is one third of the sum of 64 and 56?

Nookie1986 [14]

Answer:

8

Step-by-step explanation:

Create an expression to model the situation. One can do this by simply rewriting the written expression in terms of numbers and variables. Use the variable (x) to represent the unknown value.

$5(x)=\frac{1}{3}(64+56)$

Simplify this expression,

$5(x)=\frac{1}{3}(64+56)\\5x=\frac{1}{3}(120)\\5x=40\\$

Use inverse operations to solve for (x),

$5x=40\\x=8$

6 0

3 years ago

Find the area of a rectangle with a base 7 yard and height 4 feet <br><br><br> Please help

Tanya [424]

Answer:

84 feet

Step-by-step explanation:

take the 7 yards into feel that is 21

times that buy 4 feet and you get 84 feet

6 0

3 years ago

To plan the budget for next year a college must update its estimate of the proportion of next year's freshmen class that will ne

Naily [24]

Answer:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=67 represent the applicants who request financial aid

$\hat p=\frac{67}{150}=0.447$ estimated proportion of applicants who request financial aid

$p_o=0.35$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of applicants who request financial aid is higher than 0.35.:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

5 0

3 years ago

I need help on 9-14 NOW!!!

Gelneren [198K]

The answer to that is -5. 14 minus 9 is 5 but since it is reverse you add a negative sign.

A=-5

I hope I was helpful

5 0

3 years ago

Think of the letter X as four-vectors starting from the center and pointing outward. Label the four vectors starting from the to

kherson [118]

Answer:

The Question is incomplete, here is the complete Question:

Think of the letter X as four vectors starting from the center

and pointing outward. Label the four vectors starting from the

top left and proceeding clockwise as U, V, W, Z.

Does U x V point in or out of the page? (in/out)____
Does U x Z point in or out of the page? (in/out)____
Compute U x W= <___,___,___>

<u>ANSWERS</u>

The Cross Product of U x V points inwards the page.
The Cross Product of U x Z points outwards the page.
U x W = <u>< 0, 0, 0 ></u>

<u></u>

Step-by-step explanation:

<h2>CROSS PRODUCT:</h2>

When we talk about vectors then we have the cross product of two vectors which is defined as the product of the magnitude of the two vectors and the sine of angle between them.

Mathematically,

|a|.|b|. sin∅

Thus when a and b are two non-zero vectors, then a x b = 0, if and only if a and b are parallel to each other. In order to find the direction of any two vectors we use the right hand rule and according to that we can predict the direction of the cross product of the two vectors whether they are inwards or outwards.

In this case for part (1) both the vectors are acting inwards as they are in same direction, in part (2) they are opposite in direction so it is acting outwards and in part(3) the cross product will be 0 for all the three planes as they both are parallel to each other.

4 0

3 years ago