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Over [174]
3 years ago
11

NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

x = 9.4

y = 17.7

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

tan \theta = \frac{opp}{adj}

So, we have:

tan\ 32= \frac{x}{15}

Cross multiply:

x =15*tan\ 32

x = 15 * 0.6248693519

x = 9.3730402785

x = 9.4 --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

cos \theta = \frac{adj}{hyp}

So, we have:

cos\ 32= \frac{15}{y}

Cross Multiply:

y * cos\ 32= 15

Solve for y

y = \frac{15}{cos\ 32}

y = \frac{15}{0.84804809615}

y = 17.6876760506

y = 17.7 --- approximated

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In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3
Serggg [28]

Answer:

The correct option is (C) (2.769, 3.231).

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The confidence interval for mean when the standard deviation is not known is:

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Given:

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**Use a <em>t</em>-table.

The 95% confidence interval for true mean length of the bolt is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).

The correct option is (C).

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