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Tatiana [17]
3 years ago
6

Find prime factorization of 54

Mathematics
2 answers:
trapecia [35]3 years ago
7 0

54 is a composite number. 54 = 1 x 54, 2 x 27, 3 x 18, or 6 x 9. Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54. Prime factorization: 54 = 2 x 3 x 3 x 3, which can also be written 2 x 3³

Andre45 [30]3 years ago
4 0

Answer:

2 by 3 with an exponent of 3

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At many golf​ clubs, a teaching professional provides a free​ 10-minute lesson to new customers. A golf magazine reports that go
Airida [17]

Answer:

Step-by-step explanation:

a) The objective of the study is test the claim that the average gain in the green fees , lessons or equipment expenditure for participating golf facilities is less than $2,100 under the claim the null and alternative hypothesis are,

H₀ : μ = $2,100

H₀ : μ < $2,100

B) Suppose you selects α = 0.01

The probability that the null hypothesis is rejected when the average gain is $2,100 is 0.01

C) For α = 0.01

specify the rejection region of a large sample test

At the given level of significance 0.01 and the test is left-tailed then rejection level of a large-sample = < - 1.28

7 0
3 years ago
Erica earns $10.50 an hour for the first 40 hours. She is paid time and a half for every hour worked over 40 hours during a week
hjlf

Answer:

Step-by-step explanation:

10.50 X 40=420

55-40=15

15 X 2=30

15 divided by = 7.50

420+30+7.5= 450.5

5 0
3 years ago
Help! I really need to pass!
Dmitriy789 [7]

Answer:

\huge{ \boxed{ \bold{ \sf{y =  - 2x + 6}}}}

☥ \tt{Question} :

  • Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ \tt{Step  -  \: by \:  -  \: step \: explanation}

☪ \underline{ \underline{ \text{Given : }}}

  • Slope ( m ) = -2
  • Given point = ( - 1 , 8 )

☪ \underline {\underline{ \text{To \: find}}} :

  • Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ \underline{ \underline{ \text{Solution}}} :

\underline{ \sf{y - y1 = m(x - x1)}}

plug the known values :

↦ \text{y - 8 =  - 2 \{ x - ( - 1) \} }

↦ \text{y - 8 =  - 2(x + 1)}

Distribute -2 through the parentheses :

↦ \text{y - 8 =  - 2x - 2}

Transpose 8 to right hand side and change it's sign

↦ \text{y =  - 2x - 2 + 8}

↦ \boxed{ \text{y =  - 2x + 6}}

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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4 0
3 years ago
Read 2 more answers
PLEASE HELP
katovenus [111]

<u>Answer:</u>

$593.26

<u>Step-by-step explanation:</u>

We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.

So, the resale value for 1st year = \frac{75}{100} *2500 = $1875

for 2nd year =  \frac{75}{100} *1875 = $1406.25

for 3rd year =  \frac{75}{100} *1406.25 = $1054.7

for 4th year =  \frac{75}{100} *1054.7 = $791.01

for 5th year =  \frac{75}{100} *791.01 = $593.25

Or we can use the following formula to find its resale value after 5 years:

2500*(0.75)^5 = $593.26

4 0
3 years ago
Find the mode(s) for the given sample data. The lengths (in inches) of each snake in the Clarmont Zoo's reptile house are shown
Contact [7]

The correct option is :   no mode

<u><em>Explanation</em></u>

The given data set is:  9, 15, 86, 13, 16, 101, 85, 10, 14, 17, 102

The <u>mode is the number that is repeated more often</u> than any other number in the data set.

But here we can see that all the numbers in this data set are different. That means <u>they appear only once</u>.

So, there will be 'no mode' in this set.

3 0
3 years ago
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