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Margaret [11]
2 years ago
5

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the

result is a multiple of 4 or a multiple of 3?
Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

Probability that the result is a multiple of 4 or a multiple of 3=  0.428

Step-by-step explanation:

The spinner is divided into 14 equal areas.

Probability of an event=\frac{number of favourable outcomes}{total number of outcomes}

For favourable events,result should be a multiple of 3 or 4.

All the possible outcomes are=1,2,3,4,5,6,7,8,9,10,11,12,13,14

  • Multiples of 3=3,6,9,12
  • Multiples of 4=4,8,12

Hence the favourable outcomes are=3,4,6,8,9,12

Number of favourable outcomes=6

Total number of outcomes=14

Probability=\frac{6}{14}

                 =0.428

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If the egress rate for a stadium is 5,500 fans per hour and it takes fans about one-third less time for fans to exit a game as i
Marina CMI [18]

Answer:

1833 fans per hour

Step-by-step explanation:

Ingress is entering and Egress is exiting.

Since exiting time is 1/3rd less than entering time, we have 5500 people exiting, so ingessing would be 1/3rd that.

Thus,

Ingress Rate = 5500/3 = 1833.33

Rounding to whole number, we have 1833 fans per hour

4 0
2 years ago
Read 2 more answers
Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi
meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

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2 years ago
Lionel needs money quite frequently and doesn't need much interest at all. Which of these options for saving money is best for h
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Answer: Savings account - Apex

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2 years ago
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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−23x+5
elena-s [515]

Answer:

y-1=\frac{1}{23} (x-8)

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.

Point slope:y-y_1=m(x-x_1)

m\neq -23 in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is m=\frac{1}{23}.

We will substitute m=\frac{1}{23} and x_1=8\\y_1=1.

y-1=\frac{1}{23} (x-8).

This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).



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