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jarptica [38.1K]
3 years ago
11

Since it's Wednesday, Buy for Less gives a 5% discount for purchases. The items in Rhonda's cart total $53.75. She needs to know

the cost of the items with the discount. So, she multiplies 5% times $53.75 and subtracts the amount from $53.75. Which expression would give Rhonda the same result in one step? A) .90(53.75) B) .95(53.75) C) 1.05(53.75) D) 53.75 - .05(53.75)
Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
5 0

First we need to know how much the discount was so 5% is actually 0.05 then we need to multiply it by 53.75 which would equal 2.6875 then subtract it by 53.75 which would equal -51.0625.

B) .95(53.75)

This is a trick question because D) could also be correct if they said you could subtract it but it's not saying use the distributive property.

VLD [36.1K]3 years ago
3 0

The answer would be B) .95(53.75)


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Cards are drawn, one at a time, from a standard deck; each card is replaced before the next one is drawn. Let X be the number of draws necessary to get an ace. Find E(X) is given in the following way

Step-by-step explanation:

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  • WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the  probability that they will both be aces?

P(AA) = (4/52)(3/51) = 1/221.

  • WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a  king?

P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been  removed.

  • WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick  a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the

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  • The probability of drawing the second queen is also  4/52 and the third is 4/52.
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3 years ago
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Step-by-step explanation:

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ZA<br> Round your answer to the nearest hundredth.
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Answer:

<em>A = 48.81°</em>

Step-by-step explanation:

<u>Angles in a Right Triangle</u>

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

\displaystyle \tan A=\frac{8}{7}

Using the inverse tangent funcion:

\displaystyle A=\arctan\frac{8}{7}

Calculating:

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