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2 years ago

What is math compass used for ?

1 answer:

6 0

Ok so a compass, is a technical drawing instrument that can be used for inscribing circles or arcs. Compasses can be used for drafting, navigation and graphing.

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Given f(x) = 1/2x describe the transformation g(x) = 2f (x)?

My name is Ann [436]

Answer:

f(x) + d.

Step-by-step explanation:

3 0

2 years ago

The sum of five consecutive integers is 55. Find the integers.

liubo4ka [24]

Answer:

9, 10, 11, 12, 13

Step-by-step explanation:

(x-2)+(x-1)+x+(x+1)+(x+2) = 55

5x = 55

x = 11

8 0

2 years ago

A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur

Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

$H_0: \mu = 16$

At the alternative hypothesis, it is tested if the mean is different, hence:

$H_1: \mu \neq 16$

<h3>What is the test statistic?</h3>

The test statistic is:

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

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150$ .

Hence:

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

$z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}$

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0

1 year ago

Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing o

abruzzese [7]

Answer:

Step-by-step explanation:

<u><em>Length</em></u>

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

<em><u>hypotenuse length</u></em>

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

<em><u>Width</u></em>

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W² = 68906.25 Subtract 32851.5625 from both sides

W² = 68906.25 - 32851.5625

W^2 = 36054.6875 Take the square root of both sides

W = 189.88

<u><em>Area</em></u>

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

3 0

3 years ago

will give brainliest!!!!! will give brainliest!!!!! will give brainliest!!!!! will give brainliest!!!!! will give brainliest!!!!

Marrrta [24]

Answer:

849.24 cm²

Step-by-step explanation:

we know it is a cube so to find the surface area of each square you do

12x12=144 and there are 5 sides so 144x5=720

We know sides of the squares are 12 cm so half of that (6) would be the bottom of the triangle

Now using pythagorus you would do a²+b²=c²

15²+6²=c²

225+36=c²

√261=√c²

16.15=c this only half of one of the sides of the pyramid so you would times 16.15 by 8 to equal 129.24

now add 720+129.24=849.24 cm²

6 0

3 years ago

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