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Grace [21]
4 years ago
8

All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that rep

resents the price after only a 10% discount is: P(x) = x - 0.1x P(x) = 0.9x The function that gives the price, C, if only a $150 coupon is used is: C(x) = x - 150 Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon. C(P(x)) = 0.9x – 150 P(C(x)) = 0.9x – 150 C(P(x)) = 1.9x – 150 P(C(x)) = 1.9x – 150
Mathematics
2 answers:
prohojiy [21]4 years ago
5 0
So the original price is "x".

the discounted price by 10% is P(x) = 0.9x.

the price minus a $150 coupon is C(x) = x - 150.

so, if you go to the store, the item is discounted by 10%, so you're really only getting out of your pocket 90% of that, or 0.9x, but!!! wait a minute!! you have a $150 coupon, and you can use that for the purchase, so you're really only getting out of  your pocket 0.9x - 150, namely the discounted by 10% and then the saving from the coupon.

C(   P(x)   ) = P(x) - 150

C(   P(x)   ) = 0.9x - 150
worty [1.4K]4 years ago
4 0

<em>C(P(x)) = 0.9x – 150</em> is the correct answer.

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iVinArrow [24]
The answer is D. -15 because I am assuming that the vertical lines mean brackets, and we have to work out the brackets first (according to BIDMAS). Doing so, -6 + 2 = -4 and -4 + -11 = -15.
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3 years ago
g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar
BaLLatris [955]

Answer:

The test statistic is z = 1.25

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

H_0: p = 0.8

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

H_a: p > 0.8

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that \mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that n = 100, X = \frac{85}{100} = 0.85

The test statistic is

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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z = 1.25

The test statistic is z = 1.25

4 0
3 years ago
Find the value of x in each case:
goblinko [34]

Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FEB and ∠ DEB are adjacent angles and supplementary, thus

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- 3x = - 33 ( divide both sides by - 3 )

x = 11

6 0
3 years ago
in circle F, points A,B,C,D, and E are located on the circle such that measure of C=119°, and BE is perpendicular AD. determine
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Answer:

Measure of arc AE = 58°

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As shown: ABCD is a quadrilateral, ∠C = 119°

So, ∠C + ∠A = 180°

∴ ∠A = 180° - ∠C = 180° - 119° = 61°

ΔAGB is a right triangle at G

So, ∠A + ∠B = 90°

∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°

Arc AE opposite to the angle ∠ABG

So, measure of arc AE = 2∠ABG = 2 * 29° = 58°

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Now, if the customers left 8.23 extra, based on a percentage of the cost of the meal, namely, the 8.23 is a percent of 49.28, then

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8 0
3 years ago
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