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2 years ago

A cube has a surface area of 54cm2. What is the volume of the cube?

Mathematics

1 answer:

lukranit [14]2 years ago

3 0

Answer:

27 cm³

Step-by-step explanation:

A = 6 a²

V = a³

V=6A3/2

36=6·543/2

36≈27cm³

Hope this helps! Pls mark brainliest

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Expreessions represent The sum of 3 and n

weeeeeb [17]

Answer:

3+n

Step-by-step explanation:

Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...

The sum of 3 and n can be written as 3+n

This cannot be solved further because there are two different variables and it is impossible to add them together

Therefore the final answer is 3+n

But in case a value is given for n we can then substitute and solve further

Hope this will help you

6 0

2 years ago

Read 2 more answers

While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = population proportion.

So, Null Hypothesis, $H_0$ : p = 0.013 {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, $H_A$ : p > 0.013 {means that this is an unusually high number of faulty modems}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion faulty modems= $\frac{10}{367}$ = 0.027

n = sample of modems = 367

So, the test statistics = $\frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }$

= 2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0

3 years ago

I don’t understand. and someone please help?

givi [52]

Solution:

Note that:

6x + 26 = 92 (Vertically opposite angle)
92 + 92 + z + z = 360

Finding x.

6x + 26 = 92
=> 6x = 92 - 26
=> 6x = 66
=> x = 11

Finding z.

92 + 92 + z + z = 360
=> 184 + 2z = 360
=> 2z = 360 - 184
=> 2z = 176
=> z = 176/2 = 88

3 0

2 years ago

Please help with this question, thank you :)

vovikov84 [41]

Answer:

1/2

((-2)^2-(4*2)^1/3)/abs(-2*2)

-2^2 = 4

4*2 = 8

-2*2 = -4 and abs of that is 4

4-(8)^1/3/4

8^1/3 = 2

4-2 = 2

2/4 = 1/2

Step-by-step explanation:

4 0

2 years ago

Find the number that is 42 less than twice the opposite of itself.

maria [59]

42 - -84=-42

Hope this helps :)

8 0

2 years ago