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3 years ago

How many unit cubes are needed to make the large cube?

Mathematics

1 answer:

DaniilM [7]3 years ago

7 0

Answer:

D. 64 should be the answer

Step-by-step explanation:

length x width x height

4 x 4 x 4

4^2

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A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r

padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,

33.7625 9.7125 30.525

39.2375 11.2875 35.475

Using chi^2 = Sum[(O - E)^2/E],

chi^2 = 4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a = 3

b = 2

df = 2

Thus, the critical value is

significance level = 0.05

chi^2(critical) = 5.991464547

Also, the p value is

P = 0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0

3 years ago

A train traveled 210 mi in 3.5 h to its first stop. It then continued on traveling another 130 mi in 2.5 h.

11111nata11111 [884]

Answer:

56.7 mi/h

Step-by-step explanation:

The formula for average speed is:

Average Speed = $\frac{TotalDistance}{TotalTime}$

Thus we have:

Average Speed = $\frac{210+130}{3.5+2.5}\\=\frac{340}{6}\\=56.66$ mph

<em>Rounding to the nearest tenth, we have </em>

Average Speed = 56.7 mi/h

7 0

3 years ago

Read 2 more answers

Is 8 yards graeter than 20 feet

Natasha_Volkova [10]

8 yards is 24 feet, so yes it’s greater

4 0

3 years ago

Read 2 more answers

Examine the fraction 3+2i4−2i. Which expression is the first step to simplify the fraction? 3+2i4−2i⋅3−2i3−2i

umka2103 [35]

Answer:

The correct answer is the last option.

Step-by-step explanation:

When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.

For the expression:

$\frac{3 + 2i}{4-2i
}$