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bezimeni [28]
3 years ago
6

A company recently started shipping its products in boxes with the following dimensions: 3 ft x 5 ft x 2 ft. The boxes the compa

ny previously used had dimensions of 4 ft x 2 ft x 2 ft. How much larger are the new boxes?
Mathematics
1 answer:
Sonja [21]3 years ago
7 0

Answer: The new boxes are 14 ft3 larger.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each box and compare them.

Volume of a rectangular prism = base x height x length

Replacing with the values given:

Old boxes volume: 4 x 2 x 2 =16 cubic feet

New boxes' volume: 3 x 5 x 2 = 30 cubic feet

Subtraction the old boxes volume to the new boxes volume:

30 ft3- 16 ft3 = 14 ft3

The new boxes are 14 ft3 larger.

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James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can
IrinaK [193]

Answer:

6 pecies

Step-by-step explanation:

You divide 3/4 and 1/8 to get your answer.

7 0
3 years ago
What is (8x-30)+6x+(2x+10) simplified?
VMariaS [17]

Answer:

16x-20

Step-by-step explanation:

(8x-30)+6x+(2x+10)

8x-30+6x+2x+10

8x+6x+2x-30+10

14x+2x-20

16x-20

3 0
2 years ago
A Right Cylinder has a radius of 3 cm and a height of 5 cm.
Shtirlitz [24]

Answer:

V = 141.37 cm³

Surface area = 150.80 cm²

i. Doubling the radius to 6 cm, while the height remains 5

Step-by-step explanation:

Given that :

Radius, r = 3cm

Height, h = 5cm

Volume , V of right cylinder :

V = πr²h

V = π * 3² * 5

V = 141.37166

V = 141.37 cm³

Surface Area :

2πr(h + r)

2 * π * 3(3 +5)

18.849555(8)

150.79644

= 150.80 cm²

Volume at r = 6 ; h = 5

V = π * 6² * 5

V = 565.48667 cm³

Volume at r = 3 ; h = 15

V = π * 3² * 15

V = 424.11500 cm³

To increase volume,

6 0
3 years ago
The difference of two sample means is 22, and the standard deviation of the difference of the sample means is 10. The difference
taurus [48]

Answer:

The 95% confidence interval for the difference of the two populations means is ( 2.4, 41.6)

Step-by-step explanation:

Confidence intervals are usually constructed using the formula;

point estimate ± margin of error

In this question we are required to construct a 95% confidence interval for the difference of two populations means. The point estimate for the difference of two population means is the difference of their sample means which in this case is 22.

Assuming normality conditions are met, since we have no information on the sample sizes, the margin of error will be calculated as;

margin of error = z-score for 95% confidence * standard deviation of the difference of the sample means

The z-score associated with a 95% confidence interval is 1.96

The standard deviation of the difference of the sample means is given as 10

The 95% confidence interval for the difference of the two populations means is thus;

22 ± 1.96(10) = 22 ± 19.6 = ( 2.4, 41.6)

8 0
3 years ago
Will give 15 pts if you answer this question
Zigmanuir [339]
Your answer is 1,027 :))))))
4 0
3 years ago
Read 2 more answers
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