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motikmotik
3 years ago
10

The GCF of 18 and a number is 6. Which of the following could be the number?

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:  D) 24

===============================================

Explanation:

Find the prime factorization of each value given

  • 28 = 2*2*7
  • 15 = 3*5
  • 21 = 3*7
  • 24 = 2*2*3

Of the four choices, only 24 has 2*3 = 6 as a factor. Something like 15 doesn't have 6 as a factor, so there's no way the GCF of 15 and 18 is equal to 6.

Focusing on 24 and 18, we see that

  • 24 = 6*4
  • 18 = 6*3

which shows that 6 is the GCF of 24 and 18.

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Find the volume of the prism
Nimfa-mama [501]

Answer:

V =648 mm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h  

V = 6*9* 12

V =648 mm^3

8 0
3 years ago
A Statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 fem
Butoxors [25]

Answer: = ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 65.3

Standard deviation r = 5.2

Number of samples n = 36

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

65.3 +/-1.645(5.2/√36)

65.3 +/-1.645(0.86667)

65.3+/- 1.4257

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Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

4 0
3 years ago
Solve the following problems
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7 0
3 years ago
Solve the system below using substitution write your final answer as a coordinate point
Mademuasel [1]

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

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-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

-3 + 3y = -9

3y = -6

y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

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Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

7x = 21

x = 3

We evaluate y by substitution x with 3 in one of the equation;

-x + 3y = -9

-3 + 3y = -9

3y = -6

y = -2

The final answer expressed as a coordinate point is;

(3, -2)

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