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3 years ago

Find the distance between the points 3,7 and 15, 12 on the coordinate plane?

1 answer:

8 0

$\text{Distance } = \sqrt{ (x_2 -x_1)^2 + (y_2 - y_1)^2}$

$\sqrt{ \left( 15 - 3\right)^2 + \left( 12 - 7\right)^2}\\\\\sqrt{\left( 12\right)^2 + \left( 5\right)^2}\\\\\sqrt{ 144 + 25 }\\\\\\ \sqrt{ 169 } = \boxed{\bf{ 13}}$

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3 years ago

3. A ladder is placed 5ft away from a building. The ladder comes up to 12 ft on the side of the

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Answer:

13 feet long

Step-by-step explanation:

This situation forms a right triangle, where the ladder is the hypotenuse, the distance away from the building is the short leg, and the height to the side of the building is the long leg.

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a² + b² = c²

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A dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly as

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Step-by-step explanation:

Given that a dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly assigns nold = 8 to get the old diet, and nnew = 5 to get the new diet including the additive.

From the data given we get the following

N Mean StDev SE Mean

Sample 1 8 43 5.1824 1.832

Sample 2 5 73 21.0832 9.429

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Std dev for difference = 13.3689

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b) Enclosed

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d) Test statistic= -3.1233

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p value <0.05 our alpha

So reject null hypothesis.

The two means are statistically significantly different.

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