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3 years ago

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1) Two angles are said to be complementary if their sum is 90 degrees. Suppose you have two complementary angles such that the s

econd angle is 5 degrees larger than 4 times the measure of the first angle. Find the angles.

1 answer:

blondinia [14]3 years ago

3 0

X+y=90
Y=5+4x

X+5+4x=90
5x=85, x= 17,y = 90-x= 73

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The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.

Zielflug [23.3K]

Answer:

The value is $P(X \ge 15) = 0.5$

Step-by-step explanation:

From the question we are told that

The probability of the device failing during the warranty period is $p = 0.005$

The sample size is $n = 3000$

The random variable considered is x = 15

Generally this is distribution is binomial given the fact that there is only two out comes hence

X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

$X \~ \ B(n , p)$

Now the mean is mathematically evaluated as

$\mu = n * p$

=> $\mu = 3000 * 0.005$

=> $\mu =15$

The standard deviation is mathematically represented as

$\sigma = \sqrt{np(1 -p )}$

=> $\sigma = \sqrt{3000 * 0.005 * (1 - 0.005 )}$

=> $\sigma = 3.86$

Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution

So

$P(X \ge 15) = P( \frac{X - \mu}{\sigma } \ge \frac{x - \mu}{\sigma } )$

Now applying Continuity Correction we have

$P(X \ge (15-0.5)) = P( \frac{X - \mu}{\sigma } > \frac{(15 -0.5) - 15}{3.86 } )$

Generally $\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X)$

$P(X \ge (15-0.5)) = P(Z >-0.130 )$

From the z-table

$P(Z >-0.130 ) =0.5$

Thus

$P(X \ge 15) = 0.5$

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3 years ago

Not? Is t(n)=2⋅3n

Vera_Pavlovna [14]

Answer:

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3 years ago

Will give brainliest if correct! <br> Determine the slope of the following

dem82 [27]

Answer:

m = 2

Step-by-step explanation:

Plug 2 coordinates into the slope formula

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For this I will choose the first and third coordinates:

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2 years ago

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prohojiy [21]

Answer:

A

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3 years ago

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mote1985 [20]

Answer:

Ummm, so the answer is A. (-3,-2)

StepByStep Solution:

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5x+7x+7=-29

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4 0

3 years ago

Read 2 more answers