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vova2212 [387]
3 years ago
13

Find the length of the third side of the right triangle

Mathematics
2 answers:
Kruka [31]3 years ago
5 0

Answer:

15

Step-by-step explanation:

Using Pythagorean theorem

17^2 = b^2 + 8^2

17 x 17 = b^2 + 8 x 8

289 = b^2 + 64

Subtract 64 from both sides

289 - 64 = b^2 + 64 - 64

225 = b^2

b^2 = 225

b = square root of 225

b = 15

Maurinko [17]3 years ago
4 0

Answer:

9

Step-by-step explanation:

        2       2

b + 8   = 17

b + 16 = 34

34 - 16 = 18

18 ÷ 2 = 9

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A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Kelsey has already spent 42 minutes on the phone, and she expects to spend 2 more minutes
grandymaker [24]

Answer:

11 calls

Step-by-step explanation:

She has already spent 42 min. Also she wants to talk for 2 min per call. We can change calls on x. So, only 2x min for her calls left.

42 + 2x = 64

2x = 64 - 42

2x= 22

x=11

Answer: 11 calls

8 0
3 years ago
Please help me out with this!
olganol [36]
A. y-intercept

B. The slope is 3/4, the y-intercept is 0

C. For this one you need to put it in y-intercept form. So, you subtract 2x, and move it over to 12. The equation would look like 6y = 2x + 12.

Then, divide everything by 6, and the equation would look like: y = 2/6x + 2

Thus, the slope is 2/6x and 2 is the y-intercept.
3 0
3 years ago
Pls, help due today!!!!!!!!
kirill115 [55]

Answer:

it 6 because I said so you can't be alone 3PM if you get your school work done in your sleep all the 378feet and I have to eat a

7 0
3 years ago
Faces of a rectangular prism and a cude
Vladimir79 [104]
There are 6 faces in a rectangular prism and cube*
5 0
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