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stepan [7]
1 year ago
6

Select the correct answer. Mark, Chase, and Beatrice are running a 100-meter race. Which list represents the sample space of all

the possible ways in which the three runners can win first, second, and third places? If there were four runners and three positions to be won, what would the sample size be? A. The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4. B. The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24. C. The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4. D. The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 16.
Mathematics
2 answers:
aev [14]1 year ago
7 0

Answer:

B

Step-by-step explanation:

Illusion [34]1 year ago
5 0

Answer:

C

Step-by-step explanation:

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An insurance company sells an auto insurance policy that covers losses incurred by a policyholder, subject to a deductible of 10
Marrrta [24]

Answer:

Option E - 1000

Step-by-step explanation:

Let X stand for actual losses incurred.

Given that X follows an exponential distribution with mean 300,

To find the 95-th percentile of all claims that exceed 100.

In other words,

0.95 = Pr (100 < x < p95 ) / P(X > 100)

        = Fx( P95) − Fx(100 ) / 1− Fx (100)

, where Fx is the cumulative distribution function of X

since,  Fx(x) = 1 - e^ (-x/300)

0.95 = 1 - e^ (-P95/300) - [ 1 - e^ ( -100/300) ] / 1 -  [ 1 - e^ ( -100/300) ]

         = e^ ( -1/3 ) - e^ ( - P95//300) / e^(-1/3)

           = 1 - e^1/3 e^ (-P95/300)

The solution is given by , e^ ( - P95/300) = 0.05e^(-1/3)

P95 = -300 ln ( 0.05e^(-1/3) )

       = 999

       = 1000

8 0
1 year ago
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa
laila [671]

To solve this problem you must apply the proccedure shown below:

1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:

(50)(36)=1800in

2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:

\frac{(1800in)(3in)}{34in}=158.82in

3. If you can to express it in yards:

\frac{158.82}{36} =4.41 yd

Therefore, the answer is: 158.82 inches or 4.41 yards.

8 0
2 years ago
Read 2 more answers
Ralph is paid twice per month. His work offers a flexible-spending account to be used for medical expenses. This plan allows Ral
slava [35]
In this question, we're assuming Ralph had 0 in his saving funds to start with.

The glasses cost 1200 dollars.

There are 12 months in a year.

Each month, Ralph is given his check two times, that means that Ralph receives his check 2(12), or 24, times per year.

Divide 1200 (the cost of the glasses) by 24 (the amount of times Ralph is given his check)

1200 / 24
Divide both numerator and denominator by 12
100 / 2
Simplify
50

Ralph should have put 50 dollars per pay check to pay for the glasses.

A is your answer.

Have an awesome day! :)
6 0
1 year ago
A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
snow_tiger [21]

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = \frac{\text{Distance traveled}}{\text{Time}}

                           = \frac{210}{3.5}

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = \frac{\text{Distance traveled}}{\text{Time}}

                                             = \frac{60}{1}

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

8 0
1 year ago
a graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47
mixas84 [53]
Because you went from 41.5 to 47.6 when the granite was placed in the graduated cylinder, using displacement:

47.6 - 41.5 = 6.1

I don't know about the cubic centimeters part, I don't know for sure if mL and cubic cm are the same, sorry. :(
8 0
1 year ago
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