Find the value of N in the question

At the moment, a physical therapist has 15 7/8 rolls of medical tape on hand. He anticipates using up 10 1/8 rolls while working

kati45 [8]

Answer:

5 $\frac{3}{4}$

Step-by-step explanation:

15 - 10 = 5

7/8 - 1/8 = 6/8

so it is 5 6/8

6/8 simplified 3/4

Simplified version is 5 3/4

8 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

Pls help asap...urgently help needed!!!<br>tia

ziro4ka [17]

Answer:

(a) v = 1536640/ m^2.

(b) (i) 1186 m/s.

(ii) 52.4g .

Step-by-step explanation:

(a) The equation is v = k / m^2 where k is the constant of variation.

When m = 49, v = 640 so 640 = k / 49^2

k = 640 * 49^2

= 1,536,640.

Therefore the relation is v = 1536640/ m^2.

(b) (i)

When m = 36g, the speed v = 1536640 / 36^2

= 1186 m/s.

(ii) When the speed is 560 m/s :-

560 = 1536640 / m^2

m^2 = 1536640 / 560

= 2744

mass m = √2744

= 52.4g

3 0

3 years ago

Subtract seven more than twice a number from the square of one-third of the number to get zero.

viktelen [127]

Answer:

-13/-5

Step-by-step explanation:

5 0

3 years ago

What’s the answer to this?

ivolga24 [154]

Answer:

$54.00

Step-by-step explanation:

The original price with a sale of 1/4 off:

80(0.75)= 60

Has a coupon for additional 10% off:

60(0.9)=54

So, $54

3 0

3 years ago

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