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Gnesinka [82]
3 years ago
5

A particular English class has 40 students. As the students leave the room, only 28 students are left after 3 seconds. What is t

he rate of change of the number of students in the classroom each second?
-4 students per second


4 students per second


12 students per second


-12 students per second
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0
Find how many students left:
40-28 = 12 left 

divide number of students that left by the amount of time :

12 / 3 = 4 students left per second

because the class room got smaller ( students left, the rate in the class room is declining so the answer would be a negative number)
 answer is -4 students per second

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The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds,What perc
soldier1979 [14.2K]

Answer:

57.62% of players weigh between 180 and 220 pounds

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 200, \sigma = 25

What percent of players weigh between 180 and 220 pounds

We have to find the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 180.

X = 220

Z = \frac{X - \mu}{\sigma}

Z = \frac{220 - 200}{25}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881

X = 180

Z = \frac{X - \mu}{\sigma}

Z = \frac{180 - 200}{25}

Z = -0.8

Z = -0.8 has a pvalue of 0.2119

0.7881 - 0.2119 = 0.5762

57.62% of players weigh between 180 and 220 pounds

4 0
3 years ago
The ratio of 36 apples to 18 children​
Brums [2.3K]

It could be 1:1 or 2:1 if you dont give them more than 1 apple and save some

Step-by-step explanation:

7 0
3 years ago
A bag contains 15 green, 18 yellow, and 16 orange balls. One ball is randomly selected.
Mariulka [41]
15+18+16=49 This is your total number of balls.
You have 15/49 green balls. Plug this fraction into a calculator: 15÷49. You get 0.306 To make this a percentage, multiply it by 100. You get 30.6 which rounds up to 31%. The probability of taking out a green ball is 31%. You can find the probability of the other colors by repeating the process. Message me if you have more questions.
5 0
3 years ago
Find the equation of a line passing through the points (-5,5) and 3,4).
Hunter-Best [27]

Answer:

y = -1/8x + 35/8

Step-by-step explanation:

First, find the slope by subtracting 5 by 4 and -5 by 3. 5-4=1 and -5-3 equals -8. So, the slope is 1/-8. This is your current equation: y = -1/8x + b. Plug in one of your points to the equation, it doesn't matter which one. I'm going to use the second point, so it should look like this: 4 = -1/8(3) + b. -1/8 times 3 equals -3/8. So, this is what you should have: 4 = -3/8 + b. Add 3/8 to both sides of the equation to get 35/8 = b. Go back to your original equation and plug 35/8 in for b. This is your final equation: y = -1/8x + 35/8. Hope this helped!

4 0
4 years ago
If 12x-36=-6, what is the value of x-3?
avanturin [10]

Answer:

-1/2

Step-by-step explanation:

12x-36=-6

12x=36-6

x=30/12 = 5/2

For X-3 :

5/2 - 3 = -1/2

6 0
3 years ago
Read 2 more answers
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