3 years ago

Help me please ???????????????

Mathematics

1 answer:

kykrilka [37]3 years ago

8 0

Is that math I cangg to telll p

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Suppose that X1 and X2 are independent random variables each with a mean μ and a variance σ^2. Compute the mean and variance of

Deffense [45]

Mean:

E[Y] = E[3X₁ + X₂]

E[Y] = 3 E[X₁] + E[X₂]

E[Y] = 3µ + µ

E[Y] = 4µ

Variance:

Var[Y] = Var[3X₁ + X₂]

Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]

(the covariance is 0 since X₁ and X₂ are independent)

Var[Y] = 9 Var[X₁] + Var[X₂]

Var[Y] = 9σ² + σ²

Var[Y] = 10σ²

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3 years ago

A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.

11111nata11111 [884]

Answer:

The population on 30th day will be 134836.

Step-by-step explanation:

This is a case of exponential growth. The general form of exponential function is,

$y=ab^x$

where, a and b are constants.

The data points from the question are $(1,8500),(2,9350),(3,10285)$

Putting the values in the function,

for $x=1, y=8500$

$8500=ab$ ----------1

for $x=2, y=9350$

$9350=ab^2$ ------2

Dividing equation 2 by 1,

$\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1$

$\Rightarrow b=1.1$

Putting the value of b in equation 1,

$\Rightarrow a=\dfrac{8500}{1.1}=7727.27$

Now the function becomes,

$y=7727.27(1.1)^x$

Putting x=30, we get

$y=7727.27(1.1)^{30}=134836.2\approx 134836$

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Convert: 35 pounds, 24 ounces=_ ounces

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Answer:

Step-by-step explanation:

1 pound = 16 ounces

35 pounds = 560 ounces + 24 ounce = 584ounces

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QR and ST

Explanation:its right

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