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3 years ago

Give a description of the rules for the order of operation in your own words

Mathematics

1 answer:

anyanavicka [17]3 years ago

3 0

Answer:

Order of opoation is a techniqe that gives us a easier way to figure out work

Step-by-step explanation:

Please mark me as brainiset

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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

5 0

3 years ago

Serial numbers for a product are to be made using 2 letters followed by 3 digits the letters are to be taken from the first 6 le

kipiarov [429]

Answer:

Step-by-step explanation:

We have to make 5 place serial number with first two as alphabets and last three as digits.

The alphabets are bonded to first 6 ( A, B, C, D, E, F) where as digits are 10 (say 1 to 10).

Let the serial number be S1 S2 S3 S4 S5.

For Alphabets

For S1 we have 6 alphabets.

Now for S2 we are left with 5 alphabets since there is no repetition one alphabet will be fix for S1.

So the possible combination for S1 S2= 6x5=30.

For Digits

We did the same as we did for alphabets, for S3 we have 10 possibilities, and for S4 and S5 9 and 8 respectively due to the no repetition condition.

So the possible combinations for S3 S4 S5 = 10x9x8=720

So the total number of serial numbers are 30+720=750.

7 0

3 years ago

Match each transformation of function fwith a feature of the transformed function.

Grace [21]

The functions and their properties are

The function f(x) has its vertical asymptote at x = 0
The x-intercept of the function h(x) is (0.5,0)

<h3>How to match the functions and their properties?</h3>

The equations of the functions are given as:

f(x) = ln(x)

g(x) = -1/2f(x - 2)

h(x) = f(x - 1/2)

From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0

h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)

This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)

Hence, the x-intercept of the function h(x) is (0.5,0)