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ale4655 [162]
3 years ago
12

A fence must be4 built to enclose a rectangular area of 45,000ft squared. Fencing material costs $1 per foot for the two sides f

acing north and south and $2 per foot for the other two sides. Find the cost of the least expensive fence.
Mathematics
1 answer:
Luda [366]3 years ago
6 0
1 foot on the north and south sides and 22,499 feet on the other two sides<span />
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The weight of people in a small town in missouri is known to be normally distributed with a mean of 154 pounds and a standard de
ad-work [718]
If a random sample of 20 persons weighed 3,460, the sample mean x-bar would be 3460/20 = 173 pounds.
The z-score for 173 pounds is given by:
z=\frac{173-154}{29}=0.655
Referring to a standard normal distribution table, and using z = 0.66, we find:
P(\bar x\ \textless \ 173)=0.7454
Therefore
P(\bar x\ \textgreater \ 173)=1-0.7454=0.2546
The answer is: 0.2546

4 0
4 years ago
8(x-4)-10x simplify the equation
Citrus2011 [14]

Answer:

− 2x-32

Step-by-step explanation:

4 0
4 years ago
The equation of the line that goes through the point (−10,8) and (−3,-4) can be written in the form y=mx+b
Y_Kistochka [10]

Answer:

m is -12/7 and b is -64/7

Step-by-step explanation:

Use rise over run (change in y / change in x) to find the slope, m:

(-4 - 8) / (-3 + 10)

= -12/7

So, m is -12/7.

Plug in this value and a point into y = mx + b, then solve for b:

y = mx + b

-4 = -12/7(-3) + b

-4 = 36/7 + b

-64/7 = b

So, m is -12/7 and b is -64/7

8 0
3 years ago
The length of a rectangular piece of cardboard is 2 cm greater than its width. If the length and the width were each decreased b
Vladimir [108]

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

 w^2 +2w -(w^2 -1) = 27

 2w +1 = 27

  w = (27-1)/2 = 13

The original piece of cardboard was 13 cm wide and 15 cm long.

8 0
3 years ago
If u could show me how to solve these I would appreciate it
Sveta_85 [38]

Answer:

b. False

Step-by-step explanation:

First oval is a domain, second oval is a range.

To be a function, only one arrow should be from each number in domain,

but we have two arrows from number 6 and two arrows from the number 12. So, it is not a function.

3 0
4 years ago
Read 2 more answers
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