MATHEMATICS
HIGH SCHOOL

The number of colors he will use is_1__ . If he also wants to put a red ribbon along each of its edges, then the number of ribbon pieces he needs is__2__ .

1---- 5, 6,8,or 12?

2--- 5, 6, 8 , or 12

Answer:

Answer:

The blanks are given as:

1 ----- 6

2 ----- 12

Step-by-step explanation:

A rectangular prism is a three dimensional figure or object that has 6 faces which are rectangles. The number of edges in rectangular prism are 12.

The rectangular prism is also known as a " Cuboid ".

Now,

it is given that Alex wants to paint each face of the prism with different colors.

So, the number of colors he will use is 6. ( As it has 6 faces)

Also, he wants to put a red ribbon along each of its edges, then the number of ribbon pieces he needs is 12. ( As it has 12 edges).

Hence, the blanks are filled as:

1 ----- 6

and 2 ---- 12.

Answer: A rectangular prism has 6 faces.

Use that information to find the answer.

Use that information to find the answer.

HIGH SCHOOL

A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00 but cost the school $2.00 to prepare. After all expenses were paid, the school raised $2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold?

8.00 divided by 2400 Is 300...

HIGH SCHOOL

A survey of 500 shoppers was taken in a large metropolitan area to determine various information about consumer behavior. Among the questions was, "Do you enjoy shopping for clothing?" Of 240 males, 136 answered yes. Of 260 females, 224 answered yes. a) Is there evidence of a significant difference between males and females in the proportion who enjoy shopping for clothing at the 0.01 level of significance?b) Find the p-value in (a) and interpret its meaningc) Construct and interpret a 95% confidence interval estimate of the difference between the proportion of males and females who enjoy shopping for clothing.d) What are your answers to (a) through (c) if 206 males enjoyed shopping for clothing?

Answer:

a) Yes (See below)

b)

c) We are confident at 95% that the difference between the two proportions is between

d)

We are confident at 95% that the difference between the two proportions is between

Step-by-step explanation:

Data given and notation

represent the number of males that answer yes

represent the number of female that answer yes

represent the number of males selected

represent the number of females selected

represent the proportion of males that answer yes

represent the proportion of female that answer yes

z would represent the statistic (variable of interest)

represent the value for the test (variable of interest)

significance level given

Part a

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis:

Alternative hypothesis:

We need to apply a z test to compare proportions, and the statistic is given by:

(1)

Where

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

Part b

Statistical decision

Since is a two sided test the p value would be:

Comparing the p value with the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have enough evidence to conclude that we have a significant difference in the two proportions.

Part c

The confidence interval for the difference of two proportions would be given by this formula

For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.

And replacing into the confidence interval formula we got:

And the 95% confidence interval would be given (-0.3704;-0.2196).

We are confident at 95% that the difference between the two proportions is between

Part d

Everything change. The new proportion for males would be:

represent the proportion of males that answer yes

Comparing the p value with the significance level given we see that \alpha" alt="p_v>\alpha" align="absmiddle" class="latex-formula"> so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we don't have significant difference between the two propotions.

And the 95% confidence interval would be given (-0.065;0.0569).

We are confident at 95% that the difference between the two proportions is between

HIGH SCHOOL

Compare 8 x 10^3 and 6 x 10^4. A) 6 x 104 is 7.5 times larger than 8 x 103

B) 6 x 104 is 5 times larger than 8 x 103

C) 6 x 104 is 8.5 times larger than 8 x 103

D) 8 x 103 is 7.5 times larger than 6 x 104

Number 6 × 10⁴ is 7.5 times larger than 8 × 10³.

Option A is true.

What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

To compare 8 × 10³ and 6 × 10⁴

Now, We can divide as;

⇒ 6 × 10⁴ ÷ 8 × 10³

⇒ 60 / 8

⇒ 7.5

Thus, We get;

Number 6 × 10⁴ is 7.5 times larger than 8 × 10³.

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ7

Answer:

The answer is A on USatestpreP

Step-by-step explanation:

MIDDLE SCHOOL

A truck rental company rents a moving truck for one day by charging $25 plus $0.07per mile. write a linear equation that relates the cost c, in dollars, of renting the truck to the number x of miles driven. what is the cost of renting the truck if the truck is driven 220miles?

Answer:

c= 25+0.07 x

Step-by-step explanation:

number of miles travel is represented by "x"

cost per mile is represented by "c"

therefore we have equation,

c= 25+0.07 x

For 1 mile that is x= 1, cost c= $25.07

For 220 miles that is x= 220

c= 25 + 0.07 * 220

c=25+15.4

c= $40.4

For 220 miles the cost will be $40.4

Answer:

c= 25+0.07 x

Step-by-step explanation: