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trapecia [35]
3 years ago
10

Write the ratios for sins, cosX, and tanX

Mathematics
1 answer:
andre [41]3 years ago
8 0
Sin x = YZ/XZ
sin x = 12/13

cos x = XY/XZ
cos x = 5/13

tan x = sin x ÷ cos x
tan x = 12/13 ÷ 5/13
tan x = 12/5
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Given the side measurements, classify the triangle as acute, obtuse, right, or not a triangle. 8, 12, 14
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Step-by-step explanation:

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3 years ago
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equ
kompoz [17]

Answer:

0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 800, \sigma = 40, n = 16, s = \frac{40}{\sqrt{16}} = 10

Find the probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

This probability is the pvalue of Z when X = 775. So

Z = \frac{X - \mu}{s}

Z = \frac{775 - 800}{10}

Z = -2.5

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5 0
3 years ago
Mr. Wells to tell his class of 24 that when they have completed the assignment they have may play online games at the end of the
lesya [120]

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Step-by-step explanation:

x         60

___ = ____

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15

5 0
3 years ago
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What is an equation of the line that passes through the point (-1,-3) and is parallel to the line 4x-y=2
Natasha_Volkova [10]

Answer:

y=4x+1

Step-by-step explanation:

1. 4x-y=2

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2. y-y1=m(x-x1)

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Parallel lines have the same, so the equation we are making should have the slope of 4.

 

4 0
3 years ago
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