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Vedmedyk [2.9K]
3 years ago
5

1. An airline knows that only about 75% of those who make a reservation actually buy a ticket. At this rate, how many reservatio

ns should the airline accept to fill a plane with 180 seats?
2. Safe Side Banks pays an interest rate of 8% per year on certificate accounts. How much money must be put into an account to earn $60 in one year?
Mathematics
1 answer:
madam [21]3 years ago
3 0
We have to use proportion to solve this problem.
75% -------------------180
100% ---------------------x
crossmultiply
75*x=100*180
75x=18000           /:75
x=240 - its the answer

We have similar problem here
8%---------------------60$
100% ------------------x
crossmultiply now
8*x=60*100
8x=600        /:8
x=75 - its the answer

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Suppose that the average and standard deviation of the fine for speeding on a particular highway are 111.12 and 13.04, respectiv
antoniya [11.8K]

Answer:

3) (98.08, 124.16)

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 111.12

Standard deviation = 13.04

Calculate an interval that is symmetric around the mean such that it contains approximately 68% of fines.

68% of the fines are within 1 standard deviation of the mean speed. So

From 111.12 - 13.04 = 98.08 to 111.12 + 13.04 = 124.16

The interval notation in the smallest value before the highest value.

So the correct answer is:

3) (98.08, 124.16)

8 0
4 years ago
Identify the factors of 6ab − 8a 21b − 28. (2a 4)(3b − 7) (2a − 4)(3b 7) (2a 7)(3b − 4) (2a − 7)(3b 4)
Alex787 [66]

Answer: ) (2a+7)(3b- 4)

Step-by-step explanation:

6 0
2 years ago
Kelsey loves music and has a playlist every occasion. On her dance part playlist, she has 15 rock songs and 25 country song. On
Aloiza [94]

Answer:

Yes

Step-by-step explanation:

Givens

Original Ratios (rock : country)

Dance --> 15 : 25

Summer --> 9 : 15

Simplify

<u>Dance</u>

15 : 25 all divided by 5

<em>3 : 5</em>

<u>Summer</u>

9 : 15 simplify by dividing everything by 3

<em>3 : 5</em>

Yes, it is the same ratio for rock and country songs for both parts of the playlist.

<u />

3 0
3 years ago
Draw and explain how you can use a number line to rename a fraction greater then 1 as a mixed number
nexus9112 [7]

Consider the number \frac{27}{13}.

Since the numerator is greater than the denominator, this fraction is greater than 1.

Now, in the number line, find out how many 13's are there within 27.

The answer is 2.

Now, subtract 2 × 13 from 27.

27 - 26 = 1

Hence, the required mixed fraction is 2\frac{1}{13}

6 0
3 years ago
Read 2 more answers
Thomas lives 350 miles from the beach. He drives to the beach at an average rate of 50 miles per hour. Use that information and
sweet-ann [11.9K]

Answer:

Step-by-step explanation:

use the equation: y =50x-350 where x is the number of hours driving

hrs                

1      50            300

2      100          250

3       150          200

5       250         100

7        350           0

4 0
3 years ago
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