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olchik [2.2K]
3 years ago
11

two runners are competing in a race. one runner averages a pace of 7 minutes per mile and finishes the race in 28 minutes. the s

econd runner finishes the race in 30 minutes. which of the following is the pace of the second runner?
Mathematics
1 answer:
stealth61 [152]3 years ago
8 0
7minutes and 30 seconds
28/7=miles mile*30=second runners pace
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2y+2y+4y^3+4-3y^3+4+y​
RUDIKE [14]

Answer:

y^3 + 5y + 8

Step-by-step explanation:

Collect like terms

4y^3 - 3y^3 + 2y + 2y + y + 4 + 4

= 1y^3 + 5y + 8 OR y^3 + 5y + 8

4 0
3 years ago
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A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0
3 years ago
Apples are on sale for $3.12 per kilogram is the total cost of apples proportional to the total mass?​
zloy xaker [14]

Answer:

yes

Step-by-step explanation:

(there really isn't much else to say, it's quite simple)

5 0
3 years ago
An ordinary single die is thrown. Find the probability that an even number is the outcome.
Nikolay [14]
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7 0
3 years ago
Help me please. I will mark brainliest!
mel-nik [20]

Answer:

The answer is 6.5 hours.

Step-by-step explanation:

If you multiply the hours need to work during that week days(6) and the hours worked during the weekend(3.5) you get 33.5 hours worked over all. then, you subtract 40(the hours wanted) and 33.5(the hours worked normally) and you get 6.5.

4 0
3 years ago
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