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sertanlavr [38]
3 years ago
8

A standard I.Q. test produces normally distributed results with a mean of 104 and a standard deviation of 16 for 52,000 students

in grade 12 in the province. Approximately how many of these people would have I.Q.s below 76?
2,127

4,170

23,915

2,083
Mathematics
1 answer:
Anastasy [175]3 years ago
5 0
Z = (76 - 104)/16
z = -1.75
4%
.04 * 52,000 = 2083
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<h3>What is the law of cosine?</h3>

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A.)

Given to us

A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping.

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According to the given statements, sides and angles can be written,

a = 25 miles

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Substitute the values,

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18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o

Hence, the value of the angle by which the boat turns is 39.195°.

B.)

Given to us

Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock.

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According to the given statements, sides and angles can be written,

a = 25 miles

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Substitute the values,

c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}

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Hence, the value of the angle by which the boat turns is 39.195°.

Learn more about the Law of cosine:

brainly.com/question/17289163

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