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olchik [2.2K]
2 years ago
11

At a particular restaurant, 62% of all customers order an appetizer and 41% of all customers order dessert. If 69% of all custom

ers order an appetizer or dessert (or both), what is the probability a randomly selected customer orders both an appetizer and dessert
Mathematics
1 answer:
jekas [21]2 years ago
5 0

Answer:

In terms of probablity (A - appetizer oredered, B - desert ordered)

P(A)=63%

P(B)=40%

P(AorB)=76%.

Using the formula:

P(AorB)=P(A)+P(B)-P(A&B) we get P(A&B)=63%+40%-76%=27% (probability we were looking for).

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Solve the following word problem. A man travels from Town X to Town Y at an average rate of 50 mph and returns at an average rat
777dan777 [17]
Distance = rate*time

Let distance from X to Y be 'd' 

From the equation we can solve for 'time'

time = distance/rate

The total time it takes to go 50 mph ,then 40 mph is:

\frac{d}{50} + \frac{d}{40}

The total time it takes to go 45 mph round trip is:

\frac{2d}{45}

We know that the round-trip at 45 mph takes half-hour shorter, so by adding '1/2' to its time it will be equal to the time to go 50 then 40.

\frac{2d}{45} + \frac{1}{2} = \frac{d}{50} + \frac{d}{40} \\  \\ \frac{4d+45}{90} = \frac{9d}{200} \\  \\ 800d+9000 = 810d \\  \\ 10d = 9000 \\  \\ d = 900

Answer: The distance from X to Y is 900 miles.

7 0
3 years ago
At a local department store, jeans typically cost $20. However, due to a special, the jeans are reduced to $14. What percent of
Burka [1]

Answer:

25%

Step-by-step explanation:

3 0
2 years ago
The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression
frutty [35]

Answer: 8n

==========================================================

Explanation:

The two sides 4n+5 and 5n+6 have the terms 4n and 5n which add to 9n. We need 8n to add onto this so that we end up with 17n. In other words, 4n+5n+8n = 9n+8n = 17n

So that is why the answer is 8n. We don't have anything added or subtracted to it because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) add up to 5+6 = 11 which is what we want in the perimeter expression 17n+11

Side 1 = 4n+5

Side 2 = 5n+6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n+5) + (5n+6) + (8n)

Perimeter = 4n+5 + 5n+6 + 8n

Perimeter = (4n+5n+8n) + (5+6)

Perimeter = 17n+11

So that confirms we have the proper expression for the third missing side.

3 0
3 years ago
Read 2 more answers
Elaine lives in Hawaii, which has a sales tax of 4%. She just bought a swimsuit whose full price was $80, but she presented the
Andrew [12]

Answer:

A : $67.60

Step-by-step explanation:

Given:

Sales tax = 4%

She just bought a swimsuit whose full price was $80,

She presented the retailer with a coupon for $15,

Question asked:

What was the total amount that Elaine paid?

Cost price of  swimsuit = $80,

She presented the retailer with a coupon for = $15,

Remaining price = 80 - 15 = 65

Now, sale tax imposed = 4% of 65

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Thus , $67.60 Elaine paid to the retailer.

4 0
2 years ago
Read 2 more answers
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maw [93]

Answer:

A,B, and C

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A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

6 0
2 years ago
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