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3 years ago

Suppose y varies directly with x, and y= 7 when x = 3. What is the value of x when y = 28? If 7 = k(3) then 28 = k(x) Find x

1 answer:

7 0

Let y and x be the numbers that varies directly (that means they keep the same proportion)

Then we have 7y = 3x, OR y/x =7/3 (this ratio should be kept for any value of x and y:
y/x = 7/3, if y = 28, then 28/x = 7/3 or x = (3)(28)/7 = 12

SO X = 12

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Step-by-step explanation:

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2 years ago

Two triangles are similar with a scale factor of 3. The preimage triangle has a base of 7 inches and a height of 10 inches. What

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Answer:

<u>The area of the larger triangle is 315 inches²</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Pre-image triangle has a base of 7 inches and a height of 10 inches

Scale used : Factor of 3

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For calculating the area of the larger triangle, we use the scale this way:

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2 years ago

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Step-by-step explanation:

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2 years ago

An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t

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Answer:

The test statistics is $t = -1.7$

The Null and Alternative hypothesis are

$H_o : \mu = 47.2$ and $H_a : \mu \ne 47.2$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 47.2 miles/gallon(MPG)$

The sample size is $n = 250 \ van$

The sample mean is $\= x = 47.0$

The sample standard deviation is $\sigma = 1.9$

The level of significance is $\alpha = 0.02$

Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then

The Null Hypothesis is

$H_o : \mu = 47.2$

The alternative Hypothesis is

$H_a : \mu \ne 47.2$

The test statistics can be mathematically evaluated as

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

substituting values

$t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }$

$t = -1.7$

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2 years ago