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A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 45 dumpster loads of waste removed. In week 10, there were 30 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.f(x) = −3x + 45
f(x) = 3x + 45
f(x) = −3x + 60
f(x) = 3x + 60

Answers

Answer 1

Answer:

Answer:

f(x) = -3x+60

Step-by-step explanation:

For the slope of the function:

Comparing week 5 to week 10: we know that as time goes on, the number of dumpster loads decreases from 45 to 30. This means the slope has to be negative.

For the intercept of the function:

Since it's a negative-sloped linear function, we know that the y-intercept has to be bigger than the y-value at week 5. This means it has to be 60.

Therefore:

f(x) = -3x+60

Answer 2

Answer:

Answer:

Step-by-step explanation:

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2(x – 9) = 10x + 11Help

8. The temperature was 8°F. It dropped so that the temperature was 0°F.°F represents the change in temperature.

Answers

Answer: -8f

Initial temperature= 8F
Final temperature = 0F

Change temperature= Final temperature-initial temperature

Change in temperature = 0-8F
Change temperature = -8F
So final answer is
change in temperature = -8F

Hope this helps ʕ•ᴥ•ʔ

Suppose that there are 13 people (nine men and four women) standing ona platform, which has a weight capacity of 2100 pounds. Weights of men are normally distributed withmean 160 pounds and standard deviation 20 pounds. Weights of women are normally distributed,with mean 125 pound and standard deviation 15 pounds. Suppose weights of these 13 people areindependent of each other. What is the probability that the platform will collapse

Answers

Answer:

346

Step-by-step explanation:

i just talked to my teacher

For what value of c is the relation a function?

Answers

Answer:the answer is 1, b option i just take the tes

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is one

Dr. Smith wants to use only students with "normal" IQ in his experiment. He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study? You know that the population of IQ scores are normally distributed, have µ = 100, and have σ = 15. (1 point)

Answers

Answer:

Lowest IQ: 89.875

Highest IQ: 110.125

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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

$Z = (X - \mu)/(\sigma)$

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 problem, we have that:

$\mu = 100, \sigma = 15$ .

He defines "normal" as anyone who scores in the middle 50% of IQ scores. Using this rule, what will be the lowest IQ score that could be included in the study and what would be the highest IQ score that could be included in the study?

The middle 50% is the interval from the 25th percentile to the 75th percentile.

Lowest IQ:

This is the measure in the 25th percentile. That is X when Z has a pvalue of 0.25. So it is $Z = -0.675$

$Z = (X - \mu)/(\sigma)$

$-0.675 = (X - 100)/(15)$

$X - 100 = 15*(-0.675)$

$X = 89.875$

Highest IQ:

This is the measure in the 75th percentile. That is X when Z has a pvalue of 0.75. So it is $Z = 0.675$

$Z = (X - \mu)/(\sigma)$

$0.675 = (X - 100)/(15)$

$X - 100 = 15*(0.675)$

$X = 110.125$

Solve this system of linear equations. Separatthe x- and y-values with a comma.
9x - 10y = -34
3x - 4y = -16

Answers

Answer:

$9x - 10y = - 34 - - - (a) \n 3x - 4y = - 16 - - - (b) \n (a) - 3 * (b) : \n 0x + 2y = 14 \n y = 7 \n 3x - (4 * 7) = - 16 \n 3x = 12 \n x = 4$

answer:( 4, 7 )

Hi there!

»»————-　★　————-««

I believe your answer is:

(4,7)

»»————-　★　————-««

Here’s why:

I have graphed the system on a program.
The two lines intercept at the point (4,7). This means that it is the solution to the system.
See the graph attached.

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Hope this helps you. I apologize if it’s incorrect.

Help asap i will get yelled at =( this is going to give yoyu 42 points

Answers

Answer: first pic: true. second pic: is D. third pic: false. forth pic: C.

Step-by-step explanation:

Answer:

24+24=48

Step-by-step

24+24=48

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