Ask question

Ask question

All categories

3 years ago

11

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's

area?

2 answers:

larisa [96]3 years ago

6 0

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

mixas84 [53]3 years ago

5 0

Width = W
Length = 3W

Area = Length * Breadth

= 3W * W

= 3W²

You might be interested in

A contractor finds that it takes sam tockett 10 hours to construct a wall of a certain size. it takes jim lowell 7 hours to cons

sasho [114]

Marty is helping make floral centerpieces for the sports banquet.
The guidelines tell him how many of each flower to use in one centerpiece.

If he follows the guidelines, which statement is true?

Math item stem image
CLEAR CHECK

The ratio of lilies to carnations is 3 to 2.

The ratio of carnations to daffodils is 2 to 3.

For 12 centerpieces, he will need 36 carnations.

For 24 centerpieces, he will need 36 lilies.

5 0

3 years ago

Each one of four people will request either Coke D Let X denote the number that request Coke, where the remainder request Sprite

34kurt

Answer:

a) E(x)=2.5 V(x)=1.59

b) E(R)=17 V(R)=6.36

c) The probability that, when the four make their orders, everyone gets what they ordered is P=0.66.

Step-by-step explanation:

a) The mean E(x) can be calculated as:

$E(x)=\sum^4_{i=0} p_ix_i\\\\E(x)=0.09*0+0.15*1+0.18*2+0.33*3+0.25*4\\\\E(x)=0.00+0.15+0.36+0.99+1.00\\\\E(x)=2.5$

The variance V(x) can be calculated as:

$V(x)=\sum^4_{i=0} p_i(x_i-\bar x)^2\\\\V(x)=0.09(0-2.5)^2+0.15(1-2.5)^2+0.18(2-2.5)^2+0.33(3-2.5)^2+0.25(3-2.5)^2\\\\V(x)=0.09*6.25+0.15*2.25+0.18*0.25+0.33*0.25+0.25*2.25\\\\V(x)=0.5625+0.3375+0.045+0.0825+0.5625\\\\V(x)=1.59$

b) The revenue can be expressed as:

$R=5*x+3*(4-x)$

Then, the expected value of R canbe expressed in function of x:

$E(R)=E(5x+3(4-x))=5E(x)+3(4-E(x))\\\\E(R)=5*2.5+3(4-2.5)=12.5+4.5=17$

The expected revenue is $17.

The variance of R is

$V(R)=V(5*x+3(4-x))=V(5x+12-3x)=V(2x+12)\\\\V(R)=V(2x)+V(12)=2^2V(x)+0=4*1.59\\\\V(R)=6.36$

c) In the case there are only 3 Cokes and 3 Sprites available, the only orders that can not be fullfilled are when X=0 (they order 4 Sprites) and X=4 (they order 4 Cokes).

The probability of these events is:

$P(x=0,x=4)=P(x=0)+P(x=4)=0.09+0.25=0.34$

So, the probability of everyoned getting what they ordered is:

$P=1-P(x=0,x=4)=1-0.34=0.66$

The probability that, when the four make their orders, everyone gets what they ordered is P=0.66.

3 0

4 years ago

Evaluate the expression: Tan(14pi/3)

vichka [17]

$\tan\dfrac{14\pi}3=\tan\dfrac{2\pi}3=-\sqrt3$

6 0

4 years ago

I need help with this question.

xz_007 [3.2K]

Answer:

b. 14

Step by step explanation:

5 0

4 years ago

PLEASE HELP kelly invested $1875 in a savings account which earns 3.35% interest compounded quarterly what will the account be w

attashe74 [19]

The account will be worth $2368.20 in 7 years.

The compound interest formula is

$A=p(1+\frac{r}{n})^{n\times t}$

where p is the principal invested, r is the interest rate as a decimal number, n is the number of times the interest is compounded yearly, and t is the amount of time.

3.35% = 3.35/100 = 0.0335.

Using our information, we have:
$A=1875(1+\frac{0.0335}{4})^{4*7}$

which comes out to $2368.20.

3 0

3 years ago