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3 years ago

12

The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this t

riangle

1 answer:

mariarad [96]3 years ago

3 0

So it can be anything over 8 inches but has to be less than 16.

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A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer

weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject $H_0$ , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

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.

0.03 is tested at the null hypothesis:

This means that $\mu = 0.03, \sigma = \sqrt{0.03*0.97}$

28 out of 600 items produced by the machine were found defective.

This means that $n = 600, X = \frac{28}{600} = 0.0467$

Value of the test-statistic:

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

$z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}$

$z = 2.4$

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject $H_0$ , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0

3 years ago

Find the length of the unknown side. Round your answer to the nearest tenth.

slamgirl [31]

Answer:

11.5

Step-by-step explanation

a^2+b^2=c^2

8(8)+(x)^2=196

64 + x^2=196

$\sqrt{x^{2} }$ = $\sqrt{132}$

x=11.48

x=11.5 rounded

6 0

3 years ago

What is the period of f(x) = sin(x)? StartFraction pi Over 2 EndFraction Pi StartFraction 3 pi Over 2 EndFraction 2 pi

Nostrana [21]

<h3>Answer: 2pi</h3>

2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.

4 0

3 years ago

Read 2 more answers

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

Find the value of 2x + 8y when x = - 5 and Y = 6

mestny [16]

i think the answer is -50 but im

not sure

8 0

3 years ago