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3 years ago

8

Four runners formed a relay team at Jan’s high school. The team completed the relay in 3.86 minutes. Each runner ran exactly the

Same time. What was each runners time?

1 answer:

xeze [42]3 years ago

6 0

Answer: All four runners ran .96 seconds

Step-by-step explanation: The total time of the four runners, divided by the amount of runners.

3.86/4= .965

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A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce

never [62]

Answer:

The probability that the dart lands inside the triangle is 0.25

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- P(A) < 1

* Lets solve the problem

- A rectangular dartboard has an area of 648 cm²

- The triangular part of the dartboard has an area of 162 cm²

- A dart is randomly thrown at the dartboard

- The dart lands in the rectangle

∴ The area of the rectangle is the set of all possible outcomes n(S)

- The probability P(A) that the dart lands inside the triangle

∴ The area of the triangle is set of favorable outcomes of an

event n(E)

∵ P(A) = n(E) ÷ n(S)

∴ P(T) = area of the triangle ÷ area of the rectangle

∵ Area of the rectangle is 648 cm²

∴ n(S) = 648

∵ The area of the triangle is 162 cm²

∴ n(E) = 162

∴ P(T) = 162 ÷ 648 = 1/4 = 0.25

* The probability that the dart lands inside the triangle is 0.25

5 0

3 years ago

The quotient of n and 12 subtracted from 100?

Korvikt [17]

Answer:

100 - 12/n

Step-by-step explanation:

quotient means division so

12/n

and subtracted from means say x - 12/n so

100 - 12/n

If you're looking to evaluate it then it would be

4(25n - 3) / n

5 0

2 years ago

10 is 40% percent of what

asambeis [7]

<span>10 is 40% percent of what </span><span>400 </span>maybe

4 0

3 years ago

Read 2 more answers

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

Sphinxa [80]

Answer:

x=2.125

y=0

C=19.125

Step-by-step explanation:

To solve this problem we can use a graphical method, we start first noticing the restrictions $x\geq 0$ and $y\geq 0$ , which restricts the solution to be in the positive quadrant. Then we plot the first restriction $8x+10y\leq 17$ shown in purple, then we can plot the second one $11x+12y\leq 25$ shown in the second plot in green.

The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.

So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.

3 0

3 years ago

A grocer bought 8 boxes of apples. each box contains 35 apples and fewer than 40% of the aples in each box are green apples. fin

Evgesh-ka [11]

Each box had at most 13 apples

I hope that helps!!!!!!

: )

4 0

3 years ago