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wariber [46]
2 years ago
14

Rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Mathematics
1 answer:
Olegator [25]2 years ago
7 0

Answer:

36 units²

Step-by-step explanation:

rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

we use the inverse formula

12 * 3 =<em> </em>

<em>36 units²</em>

<em>-----------------------</em>

check

36 : 12 = 3

the answer is good

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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
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
HI!! Please answer this!
bezimeni [28]

Answer:

41 ≤ x

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Step-by-step explanation:

8 0
2 years ago
If 5 slices of pizza cost 5.50 how much do 2 slices cost 10 half a slice?
PtichkaEL [24]
Are there answer choices or is this an essay?

5 0
3 years ago
Read 2 more answers
(4a - b)(2a - 3b) =<br><br>A 8a² + 3b²<br>B 8a² - 3b²<br>C 8a² - 10ab + 3b²<br>D 8a² - 14ab + 3b²
Alika [10]

Answer:

The answer is option D.

Step-by-step explanation:

(4a - b)(2a - 3b)

Expand the terms

We have

8a² - 12ab - 2ab + 3b²

Which is

8a² - 14ab + 3b²

That's option D.

Hope this helps you

3 0
3 years ago
Divide using synthetic division -3 1 8 9 -18
agasfer [191]

Answer:

Step-by-step explanation:

-3   /   1    8    9    -18

              -3    -15   18

     _______________

        1      5     -6     0

The remainder here is 0 and the quoitient is 1x^2 + 5x - 6.

3 0
3 years ago
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