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Naya [18.7K]
3 years ago
13

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Mathematics
2 answers:
andrezito [222]3 years ago
8 0

The correct answer is:

D. y^{2}=9^{2}+19^{2}-2(9)(19)cos(41)

|Huntrw6|

damaskus [11]3 years ago
3 0
In this case,
a = y
b = 9
c = 19
So...
a^2 = b^2 + c^2 - 2bc*\cos(A)
y^2 = 9^2 + 19^2 - 2*9*19*\cos(41^{\circ})
which means the answer is choice D
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The average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 in
Murrr4er [49]

Answer:

Probability that average height would be shorter than 63 inches = 0.30854 .

Step-by-step explanation:

We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.

Also, a random sample of 4 women from this population is taken and their average height is computed.

Let X bar = Average height

The z score probability distribution for average height is given by;

                Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 64 inches

           \sigma = standard deviation = 4 inches

           n = sample of women = 4

So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)

P(X bar < 63) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{63-64}{\frac{4}{\sqrt{4} } } ) = P(Z < -0.5) = 1 - P(Z <= 0.5)

                                                        = 1 - 0.69146 = 0.30854

Hence, it is 30.85%  likely that average height would be shorter than 63 inches.

7 0
3 years ago
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Please help.need a math expert​
Veseljchak [2.6K]

Answer:

it would be 140

Step-by-step explanation:

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That is the correct answer
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