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Mathematics

1 answer:

zmey [24]3 years ago

8 0

Answer:#4 is 3L Starwberry juice and 6L orange Jucie.

Step-by-step explanation:

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MARK YOU BRAILIST PLEASE ANSWER CORRECTLY AND SHOW YOUR WORK Which process was used to obtain the equation shown in Step 2?

KonstantinChe [14]

Answer:

Step-by-step explanation:

Multiply by 12 on both sides.

Start with step one

y/3 - 1/4 = 5 Multiply both sides by 12

12(y/3 - 1/4) = 5*12

12*y/3 - 12 * 1/4 = 60

3 goes into 12 four times

4 goes into 12 three times. In both cases you are cancelling.

4y - 3 = 60

6 0

3 years ago

Define a new random variable by y = 2px. show that, as p l 0, the mgf of y converges to that of a chi squared random variable wi

Mandarinka [93]

The moment generating function (mgf) of y is given by

$M_y(t)=E(e^{ty})=E(e^{2pxt})=M_x(2pt)=p(1-e^{2pt}(1-p))^{-1}$

Since the momoent generating function of x is given by $M_x(t)=p(1-e^{t}(1-p))^{-1}$

When p tends to 0, we have

$\lim_{p \to 0} M_y(t)= \lim_{p \to 0} \frac{p}{1-e^{2pt}(1-p)} = \frac{0}{0}$

Applying L'Hopital's rule we have:

$\lim_{p \to 0} M_y(t)=\lim_{p \to 0} \frac{1}{e^{2pt}+2te^{2pt}+2pte^{2pt}} = \frac{1}{1+2t} , \ \ \ t\ \textless \ \frac{1}{2}$

This shows that y converges to <span>a chi squared random variable with 2r degrees of freedom</span>.

5 0

3 years ago

How do you solve the systems by substitution y=3x+1 and y=5x-3

rewona [7]

**plug in the first equation into the y of the next.

3x + 1 = 5x - 3
-1 from both sides
3x = 5x -4
-5x from both sides
-2x = -4
divide both sides by negative 2

x= 2

4 0

4 years ago

Solve using zero property : (x-7)(x+10) = 0

Alla [95]

Answer:

Step-by-step explanation:

Aight

x^2+3x−70=0

x−7=0 or x+10=0

x=7 or x=−10

8 0

4 years ago