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enyata [817]
3 years ago
15

A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt

op shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes. (a) What is the probability that the battery life is at least 11.0 hours? Round your answer to four decimal places (e.g. 98.7654) (b) What is the probability that the battery life is less than 10.0 hours? Round your answer to four decimal places (e.g.98.7654) (c) What is the time of use that is exceeded with probability 0.97 Round your answer to two decimal places (e.g. 98.76). The time of use that is exceeded with probability 0.9 is
Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

given that a  laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a)  the probability that the battery life is at least 11.0 hours

P(X\geq 11)\\\\=1-0.8667\\=0.1333

(b)  the probability that the battery life is less than 10.0 hours

=P(X

(c)  the time of use that is exceeded with probability 0.97

=97th percentile

= 11.844

d)  The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

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What is the determinant of m= {5 8 -5 4} ? 20 40 60 80
likoan [24]

Answer:

60

Step-by-step explanation:

We have been given the matrix;

\left[\begin{array}{ccc}5&8\\-5&4\end{array}\right]

For a 2-by-2 matrix, the determinant is calculated as;

( product of elements in the leading diagonal) - (product of elements in the other diagonal)

determinant = ( 5*4) - (8*-5)

                     = 20 - (-40) = 60

3 0
3 years ago
Exponent Laws - difference between product law and product raised to a power (with formula please)
enyata [817]

Answer:

Exponent laws:

1. Product law

x^{a}\times x^{b}\times x^{c}=x^{a+b+c}

In product law if bases are same then we add their respective powers.But if bases are different we can't add their powers.

x=base, a,b,c=exponent

If x=2 and a=3, b=5 , and c=10, then

2^{3}\times2^{5}\times2^{10}=2^{3+5+10}=2^{18}

2.Product raised to a power

1. [x^{a}]^{c}=x^{ac}

2. [x^{a}\times x^{b}]^{c}=[x^{a+b}]^{c}=x^{ac+bc}

If product is raised to a certain power , keeping the base same , we just multiply the powers.for example

[2^{3}]^{4}=2^{3\times4}=2^{12} and

[2^{3}\times3^{2}]^{2}=[2^{3}]^2 \times[3^{2}]^{2}=2^{6}\times3^{4}

[2^{3}\times2^{2}]^{2}=[2^{3+2}]^{2}=[2^{5}]^{2}=2^{10}



7 0
3 years ago
I need help with this ​
LuckyWell [14K]

Answer:

1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No

Step-by-step explanation:

8 0
3 years ago
Please help with answer!
Ghella [55]

Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

8 0
3 years ago
What is :
Natasha2012 [34]
Well if they match 60% of the $8,000 then it will be $14,300 but if they match 60% of the 8,000+1,500 then it would be $15,200.
6 0
3 years ago
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