Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?

Answers

Answer 1

Answer: We have an equation: ?/140= 15/100

Cross multiply:
100*?= 15*140
⇒ ?= 15*140/100= 21

21 students earn the Presidential Physical Fitness Award~

Answer 2

Answer: 15% is equivalent to the fraction 3/20 so you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students. Hope this helps :D

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Your friend rolls a number cube 500 times. How many times do you think your friend will roll an odd number? Explain your reasoning.

Answers

250, because of probability. Half of the number are full of odd numbers. Half are full of even. The probability will be 1/2. So 1/2 of 500 is 250. So your answer is 250 times.

Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability 4/9 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/4 .If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Answer: Probability that both the pirate and the Captain hit each other's ships is $(1)/(9)$

Step-by-step explanation:

since we have given that

Probability that the captain hits the pirate ship is given by

$(4)/(9)$

Probability that the pirate hits the Captains's ship is given by

$(1)/(4)$

So, we have to find the "Probability that both the pirate and the Captain hit each other's ship" is given by

$P(\text{Captain hits})* P(\text{ Pirates hit})\n\n=(4)/(9)* (1)/(4)\n\n=(1)/(9)$

Hence, probability that both the pirate and the Captain hit each other's ships is $(1)/(9)$

The probability that both the pirate and the Captain hit each other's ships is $(1)/(9)$ . This can be calculated by calculating the joint probability of both events.

What is joint probability?

A joint probability is a probability that two events will occur together and at the same time. Simply it is the probability that A occurs at the same time when B occurs. It can be calculated as:

$P(A and B) = P(A) * P(B)$ , where P(A and B) is the joint probability of A and B occurring together, P(A) is the probability of A, and P(B) is the probability of B.

Given:

The probability of Captain hitting the pirate ship is $(4)/(9)$

The probability of pirate hitting the Captain's ship is $(1)/(4)$ .

Therefore the joint probability will be:

$(4)/(9)*(1)/(4) = (1)/(9)$

Learn more about Joint probability here:

brainly.com/question/14238558

How do you solve the proportion: 11/5.9 = 15/x I learned this a while back I just forget how to do it. thx

Answers

$(11)/(5.9)= (15)/(x)$

You have to cross multiply and you get:
$11x=5.9*15$

$x= (5.9*15)/(11)$

$x= 8.045(45)$

Multiply 15 by 5.9. Then divide by 11

What goes into 18 and 42 for equivalent fractions

Answers

6 is a number that goes into both 18 and 42 if that helps, you can divide 18 by 6 and you get 3, then 42 by 6 and get 7, and that is how you simplify that part. I hope that helped :)

Find two consecutive odd integers whose sum is 72

Answers

Here is how you would do it:

x + (x+2) = 72 -----> x is your first integer, and x+2 is your second integer. It isn't x+1 because that would mean that you're adding an odd and an even integer. So you would have to add 2 to your first integer to get two consecutive integers. Let's continue:

2x + 2 = 72

2x = 70

x = 35 -----> So, 35 would be your first integer and 37 (which came from 35 + 2) would be your next consecutive integer.

Answer:

35 and 37

Step-by-step explanation:

Are the fractions 1/3 and 3/9 equivalent?

Answers

yes it is equivalent if u multiply 1 times 3 u get 3 if u multiply 3 times 3 is 9 so they r equivalent hope this help:)

yes, the fractions are equivalent.
in order to solve this problem, you need both fractions to have the same denominators.
ask yourself if 3 can go into 9. it can.
you change the denominator of 3 to 9. but when you change the denominator, you also have to change the numerator. since 3 goes into 9 three times, you also multiply the numerator by 3.
1/3 times 3/3 equal 3/9. since 3/9 and 3/9 are the same, they are equivalent

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