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Luden [163]
3 years ago
15

Greg's football team played 16 games this season and won 12 of them.

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0

Greg's football team played 16 games this season and won 12 of the games. What percent of the of the games did Greg's team win?

The fraction \frac{12}{16} represents the 12 games that Greg's team won out of all the games the team played.

To find out what percent of the games that Greg's team won, we can turn\frac{12}{16} into a percent.

We can first reduce this fraction by dividing both the numerator and denominator by the greatest common factor of 12 and 16 using 4.

Now, we have our reduced fraction which is \frac{3}{4}.

3 ÷ 4 = 0.75

0.75 × 100 = 75%

Therefore, Greg's football team won 75% of the games that they played.

ruslelena [56]3 years ago
4 0
You need to divide 12 by 16 to get a decimal that you can turn into a percent. 12 ÷ 16 = .75. You turn that .75 into 75%. Greg's football team won 75% of their games.
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Which is the solution of this system of equations? y=5x−83y=x+18<br><br> y+5(3)=15
Ulleksa [173]

Answer:

y=5x−83y=x+18    (the question is wrong; it has 2 equal signs)

y+5(3)=15

y+15=15   (multiply 5*3; you get 15)

y= 15-15

y= 0

7 0
3 years ago
Hat is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12
Elan Coil [88]

Step-by-step explanation:

4x + 8y = 40

4x + (8×0.8) = 40

4x + 6.4 = 40

4x = 33.6

4x÷4 = 33.6 ÷ 4

x = 8.4

6 0
3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

  • P(D = 0) = (1-0.06)^{13} = 0.447
  • P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371

We conclude that

P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818

Hence, the shipment will be accepted with probability 0.818

<em>I hope this helps you!</em>

6 0
3 years ago
Ivy has borrowed 150 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 w
jasenka [17]
I think the answer is 30x = y
5 0
3 years ago
the legs of a right triangle have lengths of 28 meters and 21 meters. the hypotenuse has a length of 5x meters. what is the valu
Hitman42 [59]
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x

use the pythagorean theorem (a^2+b^2 = c^2) and solve for x

a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7

Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35

Toss out the negative length as it makes no sense. 

The only value of x is x = 7

Therefore the final answer is x = 7
6 0
3 years ago
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