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3 years ago

17% of what is 156? I got 918. just checking my answer..

1 answer:

4 0

17% of 156 = 0.17 x 156
17% of 156 = 26.52

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Answer: 26.52
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What equation results from completing the square and then factoring? x2+4x=7

Musya8 [376]

Answer:

(x+2) ^2 =11

Step-by-step explanation:

x^2+4x=7

To complete the square, take the coefficient of the x term, 4

Then divide by 2, 4/2 =2

Then square it 2^2 =4

Add that to both sides

x^2 +4x+4 = 7+4

The left hand side can be rewritten as (x+b/2) ^2 where b is the coefficient of the x term

(x+2) ^2 =11

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An item is regularly priced at $61 . Heather bought it at a discount of 85% off the regular price.

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$61 * (1-0.85) = $9.15

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How do you sketch and label a trapezoid that has an area of 100 cm2

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3 years ago

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An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean outpu

andreyandreev [35.5K]

Answer:

The probability that the mean amplifier output would be greater than 364.8 watts in a sample of 52 amplifiers is 0.3156

Step-by-step explanation:

Mean output of amplifiers = 364

Standard deviation = $\sigma$ = 12

We have to find the probability that the mean output for 52 randomly selected amplifiers will be greater than 364.8. Since the population is Normally Distributed and we know the value of population standard deviation, we will use the z-distribution to solve this problem.

We will convert 364.8 to its equivalent z-score and then finding the desired probability from the z-table. The formula to calculate the z-score is:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }$

x=364.8 converted to z score for a sample size of n= 52 will be:

$z=\frac{364.8-364}{\frac{12}{\sqrt{52} } }=0.48$

This means, the probability that the output is greater than 364.8 is equivalent to probability of z score being greater than 0.48.

i.e.

P( X > 364.8 ) = P( z > 0.48 )

From the z-table:

P( z > 0.48) = 1 - P(z < 0.48)

= 1 - 0.6844

= 0.3156

Since, P( X > 364.8 ) = P( z > 0.48 ), we can conclude that:

The probability that the mean amplifier output would be greater than 364.8 watts in a sample of 52 amplifiers is 0.3156

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4 years ago

Question 3 of

Rufina [12.5K]

With respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.

<h3>How to find the functions corresponding to each graph based on the period of a function?</h3>

Mathematically speaking, cosines are periodic functions, and period (T) is the distance in the horizontal axis such that f(t + T) = f(t). The period of the parent cosine function is 2π. The period in daughter functions may vary by means of the following form:

y = cos Ax (1)

Where:

x - Independent variable

y - Dependent variable

A - Period width

From the graph, it is observed that with respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.

To know more about parent functions follow brainly.com/question/26369761

#SPJ1

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2 years ago