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3 years ago

Does the graph show a proportional relationship? explain.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

This graph is non-proportional because the line does not pass through the origin

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A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years

juin [17]

Answer: 0.55567

Step-by-step explanation:

Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.

i.e.

$\mu=10\text{ years}\\\sigma=3\text{ years}$

Let $X_1$ and $X_2$ are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator $X_3$ .

So that, $X =X_1+X_2-1.9\times X_3$

Mean $=E(X_1)+E(X_2)-E(X_3)=10+10-1.9\times10 =1$

Standard deviation = $\sqrt{(Var(X_1)+Var(X_1)+Var(X_1))}$

$=\sqrt{(3^2+3^2+(1.9\times3)^2)}$

$=7.1056315694$

Z-score : $z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14$

Now , The probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-

$P(Z>-0.14)=P(Z$

Hence, the required probability is 0.55567.

3 0

2 years ago

Anyone ?? Please urgent

dem82 [27]

Answer:

Shifted left by 2 units

Step-by-step explanation:

When you have a function (say f(x)), you can translate it left or right by replacing what's inside the function. In this case it is shown that the x in f(x) is replaced with x+2 in g(x). Therefore:

$g(x) = f(x + 2)$

Rewriting g(x) like this shows that there is a +2 in the f(x). Whenever there is a number being added inside the function, then the graph is shifted left that many units (and vice versa for subtraction). So in this case since 2 is being added inside the function the graph will be translated left 2

8 0

3 years ago

When x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9

Alona [7]

Answer:

First i always use khan academy

Step-by-step explanation:

8 0

2 years ago

Given a triangle ABC at A = ( - 1, 3 ) B = ( 1, - 1 ) C = ( 2, 2 ) and if the triangle is rotated 90 ° clockwise about the point

lidiya [134]

Answer:

The coordinates of A' are (6,6).

Step-by-step explanation:

It is given that in triangle ABC, A = (-1, 3), B = (1, - 1) and C = (2, 2).

If a point is rotated 90 ° clockwise about the point ( a,b ), then

$(x,y)\rightarrow ((y-b)+a,-(x-a)+b)$

It is given that the triangle is rotated 90 ° clockwise about the point ( 4, 1 ). So, a=4 and b=1.

$(x,y)\rightarrow ((y-1)+4,-(x-4)+1)$

$(x,y)\rightarrow (y+3,-x+5)$

The coordinates of A are (-1,3), So, the coordinates of A' are

$A(-1,3)\rightarrow A'(3+3,-(-1)+5)$

$A(-1,3)\rightarrow A'(6,6)$

Therefore the coordinates of A' are (6,6).

7 0

3 years ago

What is the additive inverse of the complex number –8 + 3i?

Lady bird [3.3K]

Choices:
–8 – 3i
–8 + 3i
8 – 3i
<span>8 + 3i

The additive inverse of the complex number a + bi is -(a+bi) = -a - bi

In this case, a = -8 and b = 3i

a + bi = -8 + 3i
additive inverse is: -(-8+3i) = +8 - 3i

The additive inverse of the complex number -8 + 3i is 8 - 3i. The 3rd choice.

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5 0

3 years ago

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Does the graph show a proportional relationship? explain. ​

Does the graph show a proportional relationship? explain.