All categories

4 years ago

Solve for x:p=12-x/1000

Mathematics

1 answer:

ANTONII [103]4 years ago

8 0

P=12-x/1000
1000p=12-x
1000p-12=-x
x=12-1000p

You might be interested in

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

What is the product of 2 1/2 x 3/4 in simplest form?

vodka [1.7K]

B hope this helps pls make me brainlyest

8 0

3 years ago

I need help i need the statement and reason

Marina86 [1]

For number one
S: supplement.
R: angle1+angle8 =18
#2
S: supplement
R: angle 3+ angle 6=180

6 0

3 years ago

Why is important to maintain an assessment’s validity, reliability, and equity in testing?

Greeley [361]

Why is important to maintain an assessment’s validity, reliability, and equity in testing?

Answer: Reliability refers to the degree to which scores from a particular test are consistent from one use of the test to the next. ... Ultimately then, validity is of paramount importance because it refers to the degree to which a resulting score can be used to make meaningful and useful inferences about the test taker

6 0

3 years ago

Read 2 more answers

Is 17/10 a rational number ?

mel-nik [20]

Answer:

no it is not

Step-by-step explanation:

7 0

4 years ago