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musickatia [10]

2 years ago

10

Evaluate y^5 for y = 1.

1 answer:

kkurt [141]2 years ago

8 0

Answer:

1

Step-by-step explanation:

note that $1^{n}$ = 1 for any value of n, thus

$1^{5}$ = 1

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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

When writing a number the digit 0 is used to go in any empty places TrueFalse

Rashid [163]

I would say true because the empty places do not have a value.

6 0

2 years ago

Y = x + 1<br><br>in graph form

babunello [35]

Answer:

See graph

Step-by-step explanation:

3 0

2 years ago

9w + 5p for w 7 and p 4

salantis [7]

9w + 5p
9(7)+5(4)
63+20
83

7 0

3 years ago

Read 2 more answers

Somebody please help meeeee pt.2

rosijanka [135]

Answer:

See explanation

Step-by-step explanation:

Consider the sequence 10, 6, 2, -2, -4, ...

Rewrite it as

$a_1=10,\\ \\a_2=6,\\ \\a_3=2,\\ \\a_4=-2,\\ \\a_5=-6,...$

The points on the coordinate plane are

$(1,a_1),\ (2,a_2),\ (3,a_3),\ (4,a_4),\ (5,a_5),...$ (see attached graph).

Since

$4=a_2-a_1=a_3-a_2=a_4-a_3=a_5-a_4=...,$ given sequence is arithmetic.

8 0

2 years ago