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algol13
4 years ago
10

If you select a month at random from a leap year, what is the probability that the selected month will have an even number of da

ys?
Mathematics
1 answer:
trasher [3.6K]4 years ago
7 0

Answer:

5/12

Step-by-step explanation:

First, list the months by the number of days each has:

Jan:  31, Feb:  28 or 29, Mar:  31, Apr:  30, May:  31, Jun:  30, Jul:  31, Aug:  31, Sep:  30, Oct:  31, Nov:  30, Dec:  31.

How many of these 12 months have an even number of days?

Feb, Apr, Jun, Sep, Nov (assuming that we ignore Leap Year):  5 months

Then the probability that the selected month will have an even number of days is

5 months

--------------- = 5/12

12 months

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Enter the equation of the line in slope-intercept form.
ad-work [718]

Answer:

y = \frac{7}{4}x +14

Step-by-step explanation:

Given

y = \frac{7}{4}x + 4

Required

Determine the equation of line that passes through (-8,0) and parallel to y = \frac{7}{4}x + 4

Parallel lines have the same slope.

In y = \frac{7}{4}x + 4

The slope, m is

m = \frac{7}{4}

because the general form of a linear equation is:

y = mx + b

Where

m = slope

So, by comparison:

m = \frac{7}{4}

Next, is to determine the equation of line through (-8,0)

This is calculated using:

y - y_1 = m(x - x_1)

Where

m = \frac{7}{4}

(x_1,y_1) = (-8,0)

So, we have:

y - 0 = \frac{7}{4}(x -(-8))

y - 0 = \frac{7}{4}(x +8)

y - 0 = \frac{7}{4}x +\frac{7}{4}*8

y - 0 = \frac{7}{4}x +7*2

y - 0 = \frac{7}{4}x +14

y = \frac{7}{4}x +14

6 0
3 years ago
It takes jill 2 hours to run 14.5 miles. At this rate how far could she run in 3 hours?
grin007 [14]

Answer:

She can travel 21.75 miles in 3 hours.

Step-by-step explanation:

Firstly, you have to find out how many miles can Jill travel in 1 hour. So you divide it by 2 :

2hr = 14.5miles

1hr \:  = 14.5 \div 2 \\ 1hr = 7.25miles

We have found out that she can travel 7.25 miles per hour. Next wr have to multiply it by 3 as the question says how far she run in 3 hours :

1hr = 7.25miles

3hr = 7.25 \times 3 \\ 3hr = 21.75miles

8 0
3 years ago
The dot plot shows how many hours this week students in the band practiced their instruments. A dot plot titled Hours of Band Pr
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Step-by-step explanation:

7 0
3 years ago
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A garden table and a bench cost $910 combined. The garden table costs $60 more than the bench. What is the cost of the
EastWind [94]

Answer:

You could subtract 910 from 60 which would give you 850 and that would be your answer.

Step-by-step explanation:

5 0
3 years ago
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Which of these is NOT a characteristic of a binomial experiment? A. What happens on one trial affects the probability on the nex
nignag [31]

Answer:

A. What happens on one trial affects the probability on the next: they are dependent events.

Step-by-step explanation:

Below are some important characteristic of a binomial experiment:-

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  • The probability of success is same in very trail.
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Basis these characteristics, only the first option is not a properties of a binomial experiment. In case of binomial experiment, the event is independent event.

Hence, option A is correct.

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