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3 years ago

Please help me with this!

Mathematics

2 answers:

ahrayia [7]3 years ago

4 0

Answer:

I'm pretty sure its A

Step-by-step explanation:

..................

AlladinOne [14]3 years ago

3 0

Answer:

The answer is A

Step-by-step explanation:

It simplifies to 2π/3

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I need help on two questions!

Inessa05 [86]

1) Answer: $\frac{x^{2}}{100} +\frac{y^{2}}{4} = 1$

<u>Explanation:</u>

The equation of an ellipse is: $\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}} = 1$ ; where (h, k) is the center, "a" is the x-radius, and "b" is the y-radius.

Center Radius

x-axis: (10 + -10)/2 = 0 10 - 0 = 10

h = 0 a = 10

y-axis: (2 + -2)/2 = 0 2 - 0 = 2

k = 0 b = 2

Now, input the values into the equation:

$\frac{(x-0)^{2}}{10^{2}} +\frac{(y-0)^{2}}{2^{2}} = 1$

$\frac{x^{2}}{100} +\frac{y^{2}}{4} = 1$

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2) Answer: $\frac{x^{2}}{1} +\frac{(y+2)^{2}}{4} = 1$

<u>Explanation:</u>

Vertices are: (0, 1) and (0, -5) ------> x-values are the same, y = 1, -5

Covertices are: (-1, -2) and (1, -2) ----> y-values are the same, x = -1, 1

Center Radius

x-axis: (-1 + 1)/2 = 0 1 - 0 = 1

h = 0 a = 1

y-axis: (1 + -5)/2 = -2 1 - (-2) = 3

k = -2 b = 3

Now, input the values into the equation:

$\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}} = 1$

$\frac{(x-0)^{2}}{1^{2}} +\frac{(y-(-2))^{2}}{3^{2}} = 1$

$\frac{x^{2}}{1} +\frac{(y+2)^{2}}{9} = 1$

3 0

4 years ago

Solve: 7 - 2x = 2 (x - 4) - 1

madam [21]

Answer:

Step-by-step explanation:

3 0

3 years ago

g A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a rando

Tema [17]

Answer:

We accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Step-by-step explanation:

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

This means that the null hypothesis is:

$H_{0}: \mu = 50$

And the alternate hypothesis is:

$H_{a}: \mu \neq 50$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

50 tested at the null hypothesis:

This means that $\mu = 50$

In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.

This means that $n = 36, X = 50.67, \sigma = 3.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{50.67 - 50}{\frac{3.9}{\sqrt{36}}}$

$z = 1.03$

p-value:

Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03.

z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

2*0.1515 = 0.3030

0.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

5 0

3 years ago

Find the area of the figure. (Sides meet at right angles.)

NNADVOKAT [17]

Answer:

44ft

Step-by-step explanation:

To find the answer, you need to first break down your shape. We can see that the 2 sides are identical so we can just multiply the area of on eof the sides by 2. The 2 sides equal 20 in all. Now lets look at the last section. To find an unknown side, we need to subract the 2 known sides. 8-5=3. 3x8=24

24+20=44

Hope this helps.

6 0

3 years ago

Read 2 more answers

The sales tax rate is 8% how much money is 8% of $14

Leona [35]

Answer: $1.12

Explanation:

6 0

3 years ago