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3 years ago

8

Rana uses the formula 1.75p to calculate, in dollars, the cost of p packages of pens. What is the cost of 10 packages of pens? W

hat is the cost of 1 package of pens?

1 answer:

USPshnik [31]3 years ago

7 0

It is 1.75 dollars per packet of pens you just had to divide

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A square has a perimeter of 16.4 inches. The<br> area of the square is<br> square inches.

slamgirl [31]

Answer:

area = 8.2 sq inch

Step-by-step explanation:

7 0

3 years ago

Let f(x) = xe^-x+ ce^-x, where c is a positive constant. For what positive value of c does f have an absolute

Illusion [34]

Answer:

$c=6$

Step-by-step explanation:

The absolute maximum of a continuous function $f(x)$ is where $f'(x)=0$ . Therefore, we must differentiate the function and then set $x=-5$ and $f'(x)=0$ to determine the value of $c$ :

$f(x)=xe^{-x}+ce^{-x}$

$f'(x)=-xe^{-x}+e^{-x}-ce^{-x}$

$0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}$

$0=5e^{5}+e^{5}-ce^{5}$

$0=e^5(5+1-c)$

$0=6-c$

$c=6$

Therefore, when $c=6$ , the absolute maximum of the function is $x=-5$ .

I've attached a graph to help you visually see this.

7 0

3 years ago

Cathy has 16 meters of fencing to make a rectangular pen for some rabbits what dimensions will give the maximum area?

Travka [436]

The max occurs when length=width

so
perimiter=16
and L=W
P=2(L+W)
16=2(L+L)
16=2(2L)
16=4L
4=L

the dimentions are length and width are 4 meters
aera will be 16 square meters

6 0

3 years ago

Please tell me the final answer to this question and the process. Thanks!

shusha [124]

There are two triangles that are 15cm in height and 10cm in width so you do 15 times 10 which is 150 then divided it by 2 because it a triangle to get 75 then because there is 2 you then multiply it by 2 again and you get 150

3 0

3 years ago

Suppose that an airline uses a seat width of 16.7 in. Assume men have hip breadths that are normally distributed with a mean of

murzikaleks [220]

Answer:

Step-by-step explanation:

Given that X, the hip width of men is N(14.2, 0.9)

i.e. we have $\frac{x-14.2}{0.9}$ is N(0,1)

Seat width an airline uses = 16.7 inches.

a) the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.7 in

$=P(X>16.7 inches)\\= P(Z>\frac{16.7-14.2}{0.9} =P(Z>2.77)\\\\\\=P(Z>0)-(0$

b) Here sample size = 126

Each person is independent of the other

the probability that these men have a mean hip breadth greater than 16.7

= $0.0028^{126}$ <0.00001

c) part a is important since even a single person not fitting will cause embarassment and leads to customer dissatisfaction.

5 0

3 years ago

Read 2 more answers