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Artyom0805 [142]
3 years ago
5

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

  x ≈ 42.3

Step-by-step explanation:

The law of cosines is given. For this problem, ...

  a = 25, b = 30, c = x , C = 100°

Filling in these values, we have ...

  x^2 = 25^2 +30^2 -2(25)(30)cos(100°)

  x^2 ≈ 1785.4723

  x ≈ √1785.4723 . . . . take the square root

  x ≈ 42.3

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Answer:

a) 24:36 simplified: 2:3

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Step-by-step explanation:

b) total people:

24 + 36= 60

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01%

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3 years ago
Pat has nine cards. Frank has two more cards than Steve. Steve has 3 cards how many more cards does Pat have than Frank?
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The mean of a normal probability distribution is 500 and the standard deviation is 10. about 95 percent of the observations lie
PIT_PIT [208]

Answer:

So about 95 percent of the observations lie between 480 and 520.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

The mean is 500 and the standard deviation is 10.

About 95 percent of the observations lie between what two values?

From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.

So about 95 percent of the observations lie between 480 and 520.

5 0
4 years ago
Angie bought 312 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?
vfiekz [6]
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3 0
3 years ago
What is the value of x?
tensa zangetsu [6.8K]

Answer:

X = 5°

Step-by-step explanation:

180° on a straight line.

180 - 100 = 80 angle ABC = 80°

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ACB = 60°

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3 years ago
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