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3 years ago

Please answer, giving brainliest and 5 stars :)

Mathematics

1 answer:

wel3 years ago

6 0

Answer:

1. 108.375 2. 76.765625

Step-by-step explanation:

1. We have the s-value now, which is 4.25.

Plug it in to the equation for surface area:

6*(4.25)^2

6*4.25*4.25

Using a calculator, we get 108.375

2. Plug 4.25 in to the equation for volume:

(4.25)^3

4.25*4.25*4.25

Using a calculator, we get 76.765625

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-2.01 is the smaller number

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3 years ago

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Citrus2011 [14]

Answer:

The full price was $176.

Step-by-step explanation:

To solve this problem, solve backwards. Since the total is $100, you subtract $12 from it, which leaves you with $88. You then multiply $88 by 2 (for the half price).

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3 years ago

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd =

ahrayia [7]

Answer:

d: 2, 4, -6, 0, -1, -5, 0, 1

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=-0.625$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.378$

The next step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.625 -0}{\frac{3.378}{\sqrt{8}}}=-0.523$

And the correct option would be:

a. t = -0.523

Step-by-step explanation:

We assume the following notation:

x=test value after , y = test value before

x: 34 39 28 33 27 23 35 33

y: 32 35 34 33 28 28 35 32

The system of hypothesis for this case is given by:

Null hypothesis: $\mu_y- \mu_x = 0$

Alternative hypothesis: $\mu_y -\mu_x \neq 0$

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: 2, 4, -6, 0, -1, -5, 0, 1

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=-0.625$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.378$

The next step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.625 -0}{\frac{3.378}{\sqrt{8}}}=-0.523$

And the correct option would be:

a. t = -0.523

5 0

4 years ago

The terminal side of θ passes through the point (−5,−6). What is the exact value of cosθ in simplified form?

Rom4ik [11]

HOPE THIS HELPS :D

−5√61/ 61

8 0

3 years ago

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the

Flauer [41]

Answer:

Height is 135 ft

Step-by-step explanation:

Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.

Then we can use the Pythagorean theorem to solve for the height (h):

h^2 + (h - 51)^2 = (h + 24)^2

h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576

grouping all terms on the left of the equal sign, we get:

h^2 -150 h + 2025 = 0

This gives two possible answers:

h = 135

and

h = 15

We opt for h = 135, because the other solution will render a negative leg for the triangle.

7 0

3 years ago