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zvonat [6]
4 years ago
12

a school system is reducing the amount of dumpster loads of trash removed each week in week 5 there were 45 dumpster loads of tr

ash removed and 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​
Mathematics
1 answer:
Llana [10]4 years ago
7 0

Answer:

y = -3x + 60, D: x ≥ 0, r: y ≥ 0

Step-by-step explanation:

1. Find the slope (x-axis is the week number, y-axis is the # of dump loads)

Slope equation: (y₁ - y₂)/(x₁ - x₂), where two points are (x₁, y₁) and (x₂, y₂)

Plug in: (45 - 30)/(5 - 10)

Subtract: 15/(-5)

Divide: <em>-3</em>, representing the number of dumps removed/week

2. Find the y-intercept (when x = 0)

Since we found that 3 dumps are removed per week, we can find that at week 0, there were <em>60</em> dump loads.

3. Construct equation

Point-intercept equation: y = mx + b, where m = slope, b = y-intercept

Plug in: y = -3x + 60 (with the domain of x ≥ 0 and the range of y ≥ 0)

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B 1.8

Step-by-step explanation:

3 0
3 years ago
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900
rosijanka [135]

Answer:

The 33 week gestation period baby has a zscore of -0.47.

The 41 week gestation period baby has a zscore of -0.94.

The 41 week gestation period baby weighs less relative to the gestation period.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean \mu and standard deviation \sigma, the z-score of a value X is given by:

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

The zscore represents how many standard deviations the value of X is above or below the mean \mu. This means that the baby with the lowest Zscore is the one who weighs relatively less to the gestation period.

33 week gestation period baby:

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900 grams, so \mu = 2700, \sigma = 900.

A 33​-week gestation period baby weighs 2275 grams. So X = 2275.

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

Z = \frac{2275 - 2700}{900}

Z = -0.47

41 week gestation period baby:

Babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 450 grams, so \mu = 3200, \sigma = 450

A 41​-week gestation period baby weighs 2775 ​grams, so X = 2775.

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

Z = \frac{2775 - 3200}{450}

Z = -0.94

The 41 week gestation period baby weighs less relative to the gestation period, since he has a lower zscore.

8 0
3 years ago
14/28 as a ratio a decimal and a percent
Sergeeva-Olga [200]
\frac{14}{28} is our fraction, which is not in lowest form, and therefore can be reduced. We can divide both numerator and denominator by 2, and we end up with 

\frac{7}{14}

7 goes into 14 twice, so we can reduce it further to become

\frac{1}{2}

To convert a fraction to a ratio, you just need to turn it on its side and make the | into a : So it would look like this:

1:2

1 / 2 = 0.5

<span>0.5 is the fraction in decimal form

To find a percentage, you just need to multiply the decimal by 100.

0.5 in percentage form would be 50%

Hope that helped =)
</span>
5 0
3 years ago
Read 2 more answers
An investor bought 500 shares of stock, some at $6.25 per share and some at $6.50 per share. If the total cost was $3218.75, how
Rudiy27

Step-by-step explanation:

x = amount of shares for $6.25

y = account of shares for $6.50

x + y = 500

x×6.25 + y×6.5 = 3218.75

x = 500 - y

(500 - y)×6.25 + y×6.5 = 3218.75

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y = 375

x = 500 - 375 = 125

so, he bought

375 shares of $6.50

125 shares of $6.25

4 0
3 years ago
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