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3 years ago

What is the gcf of 48, 64 and 72

Mathematics

2 answers:

S_A_V [24]3 years ago

6 0

The highest number that 48, 64, and 72 can all be divided by (the gcf or greatest common factor) is 8.

ziro4ka [17]3 years ago

5 0

The greatest common factor is 8 because Prime factor is 2 and 4, Number 48 is 4 and 1 Number 64 is 6 and o Number 72 is 3 and 0 which it would all equal 2^3 so 48 = 2^4 times 3 64 = 2^6 and 72 = 2^3 times 3^2 Hope this helps.

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Rich is building a travel crate for his dog, Thomas, a beagle-mix who is about 28 inches long, 11 inches wide, and 24 inches tal

Dmitry [639]

Answer:

27600

Step-by-step explanation:

28 long +12 -->40

11 wide +12 --->23

24 tall +6--->30

v=40×23×30=27600 cubic inches

4 0

2 years ago

Read 2 more answers

A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3

Vika [28.1K]

Answer:

(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.

Step-by-step explanation:

Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.

Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.

Test statistic (t) = (sample mean - population mean) ÷ sd/√n

sample mean = 3.24 minutes

population mean = 3.3 minutes

sd = 0.4 minutes

n = 62

degree of freedom = n - 1 = 62 - 1 = 71

significance level = 0.08

t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2

The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654

Conclusion:

Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.

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2 years ago

the volume of the rectangular prism shown below is 96 cubic feet. The dimensions of the prism base are 4 feet and 3 feet. What i

g100num [7]

Height=volume:base area
96:(4*3)= 96:12=8

7 0

2 years ago

Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4

horrorfan [7]

Is a product of three factors

4 0

2 years ago

Read 2 more answers

Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th

Jobisdone [24]

Answer:

Area of the polygon = 59 in²

Explanation:

From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle

Therefore:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

1- getting the area of the upper triangle:

We have:

base of triangle = 7 in

height of triangle = 6 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*7*6=21$ in²

2- getting the area of the side triangle:

We have:

base of triangle = 4 in

height of triangle = 5 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*4*5=10$ in²

3- getting the area of the rectangle:

We have:

length of rectangle = 7 in

width of rectangle = 4 in

Therefore:

Area of rectangle = length x width = 7 x 4 = 28 in²

4- getting the total area of the polygon:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

Therefore:

Area of polygon = 21 + 10 + 28 = 59 in²

Hope this helps :)

4 0

3 years ago