MATHEMATICS COLLEGE

A shipment of beach balls with a mean diameter of 28 cm and a standard deviation of 1.3 cm is normally distributed. By how many standard deviations does a beach ball with a diameter of 26.7 cm differ from the mean?a. 1

b. 1.3

c. 2

d. 3

Answers

Answer 1
Answer:

Answer: a. 1

Step-by-step explanation:

Given : Population mean :\mu=28\ cm

Standard deviation : \sigma=1.3\ cm

Let n be the number of times  a beach ball with a diameter of 26.7 cm differ from the mean.

Then, we have

28-n(1.3)=26.7\n\n\Rightarrow\ 1.3n=28-26.7\n\n\Rightarrow\ 1.3 n=1.3\n\n\Rightarrow\ n=1

Hence, a beach ball with a diameter of 26.7 cm is 1 standard deviation differ from the mean.

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Convert 0.0555 m to mm

Answers

Answer:

0.0555 meter =

55.5 millimeters

Answer:

55.5mm

Step-by-step explanation:

Please help me solve this!

Answers

Answer:

Step-by-step explanation:

a) AB=2AM

A__________M__________B

If M is the midpoint of AB, then AM = MB

Since AM=MB MB=2AM

Therefore AB=2AM

b)AM=1/2MB

sincs M is midpoint of AB.

then AM=BM....(1)

and also AM+BM=AB

AM+AM=AB from (1)..AM=BM

2AM=AB

AM=1/2AB

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project at the same time how long will it take them to complete the project

Answers

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

(1)/(x) =(1)/(90) +(1)/(120)\n(1)/(x) =(4)/(360) +(3)/(360)\n(1)/(x) =(7)/(360) \nx=(360)/(7) \nx=51.43\,\,min

So it will take them approximately 51.43 minutes to complete the project together.

I have done this for a million times and I always get this one wrong I need the correct answer

Answers

Answer:

A, B, and D.

Step-by-step explanation:

HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:

5^2 = 5 x 5

aka, 25.

You can use this to check each of the answers in your formula, like this:

if x=6, then:

x^2 < 100

6 x 6 = 36

36 < 100

A is one of your correct answers!

Also remember, if you multiply a negative by a negative, it becomes positive.

-5 x -5 = 25

-10 x -10 = 100
The answer to this is A, B, D.

Can someone explain how to solve this I'm really confused

1/2 to the power of 3

Answers

Answer:

1/8

Step-by-step explanation:

1/2 cubed is just 1/2*1/2*1/2 which is 1/8

Answer:

1  / 8 Fraction  0.125 decimal

Step-by-step explanation:

Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?

Answers

Answer:

21%

Step-by-step explanation:

195 divided by 245 = 0.79 approximately

100-79=21

Always divide the small number by the big number for percentages

Good luck!
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