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Annette [7]
3 years ago
9

The lifespan of a laptop battery is normally distributed. If the mean lifespan of a battery is 4 years with a standard deviation

of 1.6 years, what is the probability that the next laptop battery you purchase will last between 3.5 and 5.5 years?
CI = (71.98%, 79.45%)
CI = (72.02%, 78.38%)
CI = (70.23%, 80.17%)
CI = (71.41%, 78.99%)
Mathematics
1 answer:
Gemiola [76]3 years ago
6 0
The answer is :Cl=(70.23%,80.17%)
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Solve this and get 12 points
Pachacha [2.7K]

Answer:

9

Step-by-step explanation:

First, find <em>x</em>. Since <em>x</em> is the average of the three number, add the three up and then divided by three. Thus:

x=\frac{13+-16+6}{3}=3/3=1

<em>y</em> is the cube root of 8. Thus:

y=\sqrt[3]{8}=2

So:

x^2+y^3\\=(1)^2+(2)^3\\=1+8=9

5 0
3 years ago
Read 2 more answers
Lim x--&gt; 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

so the overall limit is 1.

4 0
3 years ago
Factorise by grouping: x² - 5x + 2x - 10
IrinaK [193]

Answer:

(x + 2)(x - 5)

Step-by-step explanation:

Here are the steps:

x^2-5x+2x-10\\(x^2-5x)+(2x-10)\\x(x-5) + 2(x-5)\\(x + 2)(x-5)

4 0
3 years ago
Use the distributive property to simplify the expression 11 (x-5)
olga_2 [115]
The distributive property, in this case, is to multiply the number outside the parenthesis by the numbers and characters inside the parenthesis:


11 (x - 5)
11x - 55 → Simplified expression.



Hope it helped,

Happy homework/ study/ exam!

4 0
3 years ago
PLEASE HELP AND QUICK
3241004551 [841]
I think it is 70 but not sure
8 0
3 years ago
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