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3 years ago

Please hurry 50 points for the correct answer! Which locker has the larger capacity? Explain.

Mathematics

2 answers:

kobusy [5.1K]3 years ago

8 0

Answer:

Gym locker

Step-by-step explanation:

The capacities of the lockers are their volumes. Both lockers are in the shape of a rectangular prism, whose volume is denoted by: V = lwh, where l is the length, w is the width, and h is the height.

School Locker:

The length is 12, width is 10, and height is 60. Plug these values into the formula for the volume:

V = lwh

V = 12 * 10 * 60 = 7200 inches cubed

Gym Locker:

The length is 12, width is 15, and height is 48. Plug these values into the formula for the volume:

V = lwh

V = 12 * 15 * 48 = 8640 inches cubed

Clearly, we see that 8640 > 7200, which means that the gym locker has the larger capacity.

melomori [17]3 years ago

5 0

Answer:

The gym locker.

Step-by-step explanation:

60*12*10= 7200

47*12*15= 8640

8640 is greater than 7200

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X is directly proportional to y. When x = 4, y = 7. Work out the value of y when x = 12

AysviL [449]

Answer:

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Step-by-step explanation:

When x is directly proportional to y:

When x increases, y also increases.

In this case, it is so you write,

1. Write down the formula: y=kx

k being the constant.

Let's use "When x = 4, y = 7" to work out the constant.

2. Substitute the 'when' values: 7=k×4

3. Rearrange to find the constant: 7÷4=k

4. Find k: k=1.75

Now let's see the new problem, 'what is y when x = 12'.

5. Substitute the values now but keep the constant: y = 1.75 × 12

6. Rearrange if needed.

7. Find the missing value: y = 21

Hope this helped and if you require further assistance from me please comment below! :)

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Naya [18.7K]

Answer:

Test statistic |Z| = 0.1040 < 1.96 at 0.05 level of significance

Step-by-step explanation:

Step(i):-

Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized

First proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{10}{108} = 0.0925$

Given that a report on the nightly news broadcast stated that 20 out of 208 households without pet dogs were burglarized

Second proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{20}{208} = 0.0961$

where

$P = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }$

P = 0.09486

Q = 1 - P = 1 - 0.09486 = 0.90514

Step(ii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

$Z = \frac{0.0925-0.0961 }{\sqrt{0.09486 X 0.90514(\frac{1}{108 } +\frac{1}{208 } )} }$

Z = -0.1040

|Z| = |-0.1040|

|Z| = 0.1040

Critical value Z = 1.96 at 0.05 level of significance

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