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3 years ago

A shipping company handles containers in three different sizes:

Mathematics

1 answer:

Lynna [10]3 years ago

6 0

Answer:

Step-by-step explanation:

Hello!

To know what will be the resulting E(X) and V(X) of the total volume shipped, you have to add the three variables.

According to the properties of the E(X) The expected value of two variables or more independent variables is equal to the addition of the expected values of each variable: X+Y⇒ E(X+Y)= E(X) + E(Y)

In this case:

E(X₁+X₂+X₃)= E(X₁)+E(X₂)+E(X₃)= 200 + 240 + 120= 560 ft³

The same happens with the variance, if you add two independent variables, the variance of the resulting variable will be equal to the addition of the variance of each variable: X+Y ⇒ V(X+Y)= V(X)+V(Y)

In this case:

V(X₁+X₂+X₃)= V(X₁)+V(X₂)+V(X₃)= 10+13+8= 31

I hope it helps!

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Jay factored the 4 term polynomial x^3-9x\:+\:2x^2-18 x 3 − 9 x + 2 x 2 − 18 and decided that the complete factorization was (x+

oksian1 [2.3K]

Answer:

Correct factorization: (x+2)(x+3)(x-3)

Step-by-step explanation:

The given 4 term polynomial is:

$x^{3}-9x+2x^{2}-18$

Part a) Jay's Mistake:

Factorization of Jay was:

$(x+2)(x^{2}-9)$

Though this expression will simplify to original given expression but this is not the complete and final factorization. The second factor which is x² - 9 can be factored further, which is shown in the next part.

Part b) Complete Factorization

In order to factor a 4 term expression of the type given in the question, the first step is to take the common from similar terms. You might need to re-arrange the terms before taking common in some case. Taking commons from the given expression, we get:

$x^{3}-9x+2x^{2}-18\\\\ = x(x^{2}-9)+2(x^{2}-9)\\\\ =(x+2)(x^{2}-9)$

Jay stopped at this step. At this step you need to look if any part of the expression can be factored further. Luckily, in this case x² - 9 can be factored further as its a difference of perfect squares:

x² - 9 = x² - (3)² = (x + 3)(x - 3)

Using these factors of x² - 9 in previous expression, we get:

$(x+2)(x^{2}-9)\\\\ = (x+2)(x+3)(x-3)$

This is the final factored form of the given 4 term expression as it can not be factored further in any way.

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4 years ago

What is the recursive rule for this geometric sequence?

snow_tiger [21]

$a_n=\left\{\begin{array}{ccc}a_1=-64\\a_{n+1}=a_n:4\end{array}\right\\\\check:\\a_1=-64\\a_2=a_1:4\to a_2=-64:4=-16-OK\\a_3=a_2:4\to a_2=-16:4=-4-OK\\a_4=a_3:4\to a_4=-4:4=-1-OK\\\vdots$

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3 years ago

Read 2 more answers

The stemplot displays 26 students’ scores on a 90-point statistics test. A stemplot titled Test scores has values 43, 45, 46, 51

motikmotik

In a stem plot the numbers on the left side of the line are called the stem and the value on the right side are called the leaves. The stem represents the tens place while the leaves represent the ones place of a number.

The scores of the students are as follows:

43 45 46

51 52 53 55 57

60 63 63 65 66 67 67 69 69

71 71 72 74 76 77 79

84 85

and the shape is slightly skewed left

learn more about stemplot here:

brainly.com/question/9125085

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