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3 years ago

Is this fraction in the simplest form 23/46

Mathematics

1 answer:

enot [183]3 years ago

5 0

No. 23 is half of 46, so this fraction can be simplified to 1/2, which is in simplest form.

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1500 customers hold a VISA card; 500 hold an American Express card; and, 75 hold a VISA and an American Express. What is the pro

alex41 [277]

Answer:

There is 15% probability that a customer chosen at random holds a VISA card, given that the customer has an American Express card.

$P(VISA \:| \:AE) = 15\%\\$

Step-by-step explanation:

Number of customers having a Visa card = 1,500

Number of customers having an American Express card = 500

Number of customers having Visa and American Express card = 75

Total number of customers = 1,500 + 500 = 2,000

We are asked to find the probability that a customer chosen at random holds a VISA card, given that the customer has an American Express card.

This problem is related to conditional probability which is given by

$P(A \:| \:B) = \frac{P(A \:and \:B)}{P(B)}$

For the given problem it becomes

$P(VISA \:| \:AE) = \frac{P(VISA \:and \:AE)}{P(AE)}$

The probability P(VISA and AE) is given by

P(VISA and AE) = 75/2000

P(VISA and AE) = 0.0375

The probability P(AE) is given by

P(AE) = 500/2000

P(AE) = 0.25

Finally,

$P(VISA \:| \:AE) = \frac{P(VISA \:and \:AE)}{P(AE)}\\\\P(VISA \:| \:AE) = \frac{0.0375}{0.25}\\\\P(VISA \:| \:AE) = 0.15\\\\P(VISA \:| \:AE) = 15\%\\$

Therefore, there is 15% probability that a customer chosen at random holds a VISA card, given that the customer has an American Express card.

8 0

3 years ago

Suppose that 2000 is invented at a rate of 3.5%, compounded semiannually. Assuming that no withdrawals are made, find the total

Vinvika [58]

Answer:

$2,297.76

Step-by-step explanation:

Present value: P = 2000

Future value: F

Annual interest rate: r = 3.5% = 0.035

Time: t = 4 years

Number of compounding periods per year: n = 2

$F = P(1 + \dfrac{r}{n})^{nt}$

$F = 2000(1 + \dfrac{0.035}{2})^{2 \times 4}$

$F = 2000(1 + 0.0175)^{8}$

$F = 2000(1.0175)^{8}$

$F = 2000(1.148881783)$

$F = 2297.76$

Answer: $2,297.76

6 0

3 years ago

FIRST ANSWER GETS BRAINLIEST

Talja [164]

The answer is

121.5

4 0

2 years ago

Read 2 more answers

Gas cost $2.17 cents per gallon. He harvest for four days. He used about 38 gallons of gas in one day. What is the cost for the

34kurt

Answer:

329.84

Step-by-step explanation:

(38 x 4) 2.17

7 0

4 years ago

Read 2 more answers

Solve |4x - 8| < 12

Art [367]

| 4x - 8 | < 12

-12 < 4x - 8 < 12......add 8 to every section
-12 + 8 < 4x - 8 + 8 < 12 + 8
-4 < 4x < 20 ....divide every section by 4
-4/4 < 4x/4 < 20/4....simplify
-1 < x < 5 <====

6 0

4 years ago