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Aneli [31]
2 years ago
10

Help me I'm lost on this unit.​

Mathematics
1 answer:
Liula [17]2 years ago
6 0

Answer:

remainder = 32

Step-by-step explanation:

Using synthetic division with divisor (x - 2) , that is h = 2

There is no x³ term so include zero as its coefficient in the table

2 | 3   0   - 3   2   - 8

    ↓    6   12   18    40

   ------------------------------

   3    6    9     20    32 ← remainder

   

   

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.) Suppose college students produce 650 pounds of solid waste each year, on average. Assume that the distribution of waste per c
amid [387]

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that \mu = 650, \sigma = 20

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

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

Z = \frac{620 - 650}{20}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

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

Z = \frac{700 - 650}{20}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

4 0
3 years ago
The product of 5 and 3 subtracted from 25
tiny-mole [99]
The answer is 10


explanation
5x3=15
25-15=10
8 0
2 years ago
Read 2 more answers
I’m not sure how to do this please help!
Len [333]

Answer:

sum of the interior angles x and y gives the exterior angle z

(4n-18)°+(n+8)°=(133-6n)°

4n°-18°+n°+8°=133°-6n°

4n°+n°-18°+8°=133°-6n°

5n°-10°=133°-6n°

5n°+6n°=133°+10°

11n°=143°

11°n/11°=143°/11°

n=13

exterior angle=133-6×13

=133-78

=55

5 0
2 years ago
The height of a box that bill is shipping is 4 inches less than the width of the box. the length is 10 inches more than twice th
8090 [49]
This is the concept of algebra, let the width be x
height=x-4
length=2x+10
the volume of the box is:
volume=length*width*height
=x(x-4)(2x+10)
expanding the above we get:
(x^2-4x)(2x+10)
=x^2(2x+10)-4x(2x+10)
=2x^3+2x^2-40x=264
solving the above we get real solution will be
x=6
thus we conclude that the width is x=6 inches
length=2*6+10=22 inches
height=x-4=6-4=2 inches
thus the dimension will be:
width=6 inches, length=22 inches, height=2 inches


6 0
3 years ago
Read 2 more answers
Calculate the perimeter and area of the following square if a= 19
Licemer1 [7]

Formula for perimeter of a square: P = 4a

Formula for area of a square: A = a²

a is given as:

19

Plug this value for a into the above formulas to solve for perimeter and area.

P = 4a

P = 4(19)

P = 76

-----------------------------------------------------------------------------------------------------------------

A = a²

A = 19²

A = 361

Answer:

P = 76 units; A = 361 units².

8 0
3 years ago
Read 2 more answers
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