3.

Amy works for a marketing agency and is designing a label for a company's newest product. The label needs to be a rectangle wher

Anon25 [30]

Answer:

$4x^{2}$

Step-by-step explanation:

Given:

Amy works for a marketing agency and is designing a label for a company's newest product.

The label needs to be a rectangle where the length is 4 times the width.

$x$ represents the width.

Question asked:

Which expression represents the area of the label ?

Solution:

Width of the label = $x$ (given)

Then, length of the label will be = <u>4 times the width</u> = $4x$

As label needs to be a rectangular shape and as we know:-

$Area\ of\ rectangle=Length\times width$

$=4x\times x\\=4x^{2}$

Therefore, $4x^{2}$ represents the area of the label.

7 0

4 years ago

You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you ru

Llana [10]

I show an example in the picture below. If you know how to solve with Pythagorean theorem this problem should be fairly easy. All you have to do is make 2 triangles and solve for C. Once you solve for C for both triangles you should get 20 for one answer and 15 for the other answer. Then all you do is just add them together so your answer should be 35 feet.

5 0

3 years ago

Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the ot

Softa [21]

Answer:

a. Mean = 4.5, Standard Deviation = 1.775

b. 0.0152

Step-by-step explanation:

Given

n = 15 purchasers

p = Success = 30%

p = 0.3

q =Failure = 70%

q = 0.7

a.

Mean = np

Mean = 15 * 0.3

Mean = 4.5

Standard Deviation = √Variance

Variance = npq

Variance = 15 * 0.3 * 0.7

Variance = 3.15

Standard Deviation = √3.15

Standard Deviation = 1.774823934929884

Standard Deviation = 1.775 ---------- Approximated

b.

The probability that the number who want new copies is more than two standard deviations away from the mean value

Standard Deviation = 1.775

Mean = 4.5

2 Standard Deviation and Mean = 2 * 1.775 + 4.5

= 3.55 + 4.5

= 8.05

P(X>8.05) = P(9) + P(10) +........+ P(15)

Using the binomial distribution

(p + q) ^ n where p = 0.3, q = 0.7 , n = 15

Expanding (p+q)^n where n = 15 and r > 8

We have

15C9 p^9 q^6 + 15C10 p^10 q^5 + 15C11 p^11 q⁴ + 15C12 p^12 q³ + 15C13 p^13 q² + 15C14 p^14 q + p^15

= 5005 (0.3)^9 (0.7)^6 + 3003 (0.3)^10 (0.7)^5 + 1365 (0.3)^11 (0.7)⁴ + 455 (0.3)^12 (0.7)³ + 105 (0.3)^14 (0.7)² + 15 (0.3)^14 (0.7) + 0.3^15

=0.015234

7 0

3 years ago

The endpoints of CD are C(–8, 4) and D(6, –6). What are the coordinates of point P on CD such that P is the length of the line s

Arturiano [62]

If you graph the end points C and D then graph the 4 points at the end it is difficult to tell which points are on CD without a line.
Using the endpoints find the slope (change in y/ change in x) then substitute a point in to find the intercept.
Slope = (-6-4)/(6- -8) = -5/7
Intercept equation (-6) = -5/7 (6) + b
b = -1.71428571429
Graphing the line shows only 2 points on the line (–2.75, 0.25) and <span>(0.75, –2.25)
I am confused by the part, "</span><span>P is the length of the line segment from D". Were you given a length P to help you determine which point. Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given. The image shows the distances I calculated and the graphed points.
I hope this helps!</span>

3 0

3 years ago

Read 2 more answers

A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 lit

agasfer [191]

Answer:

large tank volume = 6 litres

small tank volume = 3 litres

Step-by-step explanation:

Given that,

The combined volume of 3 large tanks and 2 small tanks is 24 litres.

The combined volume of 2 large tanks and 3 small tanks is 21 litres.

Suppose large tank volume = x

Suppose small tank volume = y

<h2>First Equation </h2>

3x + 2y = 24

<h2>Second Equation </h2>

2x + 3y = 21

Now solve them

3x =24 - 2y

x = (24 -2y) / 3

Put value of x in second equation

2 {(24 -2y) / 3} + 3y = 21

2(8) - 4y/3 +3y = 21

16 - 4y/3 + 3y = 21

3y -4y/3 = 21-16

5y/3 = 5

5y = 15

y = 15/5

y = 3

3x = 24 - 2(3)

3x = 18

x = 6

7 0

3 years ago