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miskamm [114]
3 years ago
15

What are all the numbers whose absolute value is 2? Please help!

Mathematics
1 answer:
frutty [35]3 years ago
7 0

Answer:

-2 and 2. Because it is absolute value

Step-by-step explanation:

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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Vadim26 [7]

Answer:

We conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

Step-by-step explanation:

We are given that a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000.

From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles.

<u><em>Let </em></u>\mu<u><em> = average miles for deluxe tires</em></u>

So, Null Hypothesis, H_0 : \mu \geq 50,000 miles   {means that deluxe tire averages at least 50,000 miles before it needs to be replaced}

Alternate Hypothesis, H_A : \mu < 50,000 miles    {means that deluxe tire averages less than 50,000 miles before it needs to be replaced}

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

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

where, \bar X = sample mean lifespan = 46,500 miles

            \sigma = population standard deviation = 8000 miles

            n = sample of tires = 28

So, <u><em>test statistics</em></u>  =  \frac{46,500-50,000}{\frac{8000}{\sqrt{28} } }

                               =  -2.315

The value of the test statistics is -2.315.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.315 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

4 0
3 years ago
Make r the subject of the formula <br><img src="https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5C%3A%20h%20%7B%7D%5E%7B2%7D%28r%20-%
Vaselesa [24]

Answer:

\boxed{r =  \frac{h}{3}  +  \frac{v}{\pi {h}^{2} } }

Step-by-step explanation:

Solve \:  for \:  r:  \\  =  >   v= \pi {h}^{2}(r -  \frac{h}{3}  ) \\  \\  v=\pi {h}^{2}(r -  \frac{h}{3}  )is \:  equivalent  \: to   \:   {h}^{2}\pi(r -  \frac{h}{3}  ) = v: \\  =  >  {h}^{2}\pi(r -  \frac{h}{3}  ) = v \\  \\ Divide  \: both \:  sides  \: by  \: \pi  {h}^{2} :  \\  =  > r -  \frac{h}{3}  =  \frac{v}{\pi {h}^{2} }  \\  \\ Add \:   \frac{h}{3}  \:  to  \: both \:  sides:  \\  =  > r =  \frac{h}{3}  +  \frac{v}{\pi {h}^{2} }

8 0
3 years ago
A certain ore contains 9 percent gold. How much ore (in tons) is needed to obtain 126 tons of gold
Stella [2.4K]

Answer:

it'll take 251,991 tons of ore to obtain 126 tons of gold.. That's a lot

7 0
3 years ago
Please help and answer
rusak2 [61]

Answer:  choice C

Step-by-step explanation:

sorry if wrong

5 0
2 years ago
Read 2 more answers
M/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x​
Nina [5.8K]

Answer:

x = 1

Step-by-step explanation:

The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.

Note:

m∠IGF = 135x

m∠HGI = 26x

m∠HGF = 161°

Set the equation:

m∠IGF + m∠HGI = m∠HGF

Plug in the corresponding terms to the corresponding variables:

135x + 26x = 161

Combine like terms:

(135x + 26x) = 161

161x = 161

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:

(161x)/161 = (161)/161

x = 1

1 is your answer.

~

x = 161/161 = 1

5 0
3 years ago
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