5. The volleyball team has a double-header on Friday. The probability that they

Mathematics

1 answer:

Nikolay [14]3 years ago

4 0

Answer: 54.29%

Step-by-step explanation:

Given: The probability that they will win both games is 38%.

i.e. P( both games will win) =0.38

The probability that they will win just the first game is 70%.

P(first game will win) = 0.70

To find : P(second game will win| first game will win)

Using formula: $P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}$

So, P(second game will win| first game will win) = $\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}$

$=\frac{0.38}{0.70}\approx0.5429=54.29\%$

Hence, the required probability = 54.29%

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The store has put up a robotics kit on sale for 25% off the original price of $250, AND you have a coupon for an additional 20%

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A. If you use only the coupon you will have to pay $137.50.

B. Using the Coupon during the sale, the kit is discounted by $112.50

C. The total percent discount is 45% after both discounts.

Step-by-step explanation:

Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.

25% of $250 = $\frac{25}{100}$ × $250 = 0.25 × $250 = $62.50

So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.

Robotics kit price after 25% discount = $250 - $62.50 = $187.50.

Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.

45% of $250 = $\frac{45}{100}$ × $250 = 0.45 × $250 = $112.50.