1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kiruha [24]
3 years ago
10

Reserve Problems Chapter 4 Section 5 Problem 2 A laptop company claims up to 10.1 hours of wireless web usage for its newest lap

top 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 9.5 hours and standard deviation 30 minutes. (a) What is the probability that the battery life is at least 10.1 hours? Round your answer to four decimal places (e.g. 98.7654).
Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

0.1151

Step-by-step explanation:

Given that a laptop company claims up to 10.1 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 9.5 hours and standard deviation 30 minutes.

If X is the battery life then X is N(9.5, 0.5)

(we convert into one unit for calculations purpose here hours)

a) the probability that the battery life is at least 10.1 hours

=P(X\geq 10.1)\\=P(Z\geq \frac{10.1-9.5}{0.5} )\\= P(Z\geq 1.2)\\=0.1151

we get the probability that the battery life is at least 10.1 hours is 0.1151

You might be interested in
Plzz HELP FOR POINTS AND BRAINLIST ANSWER
storchak [24]

A)Plugging in our initial statement values of y = 16 when x = 10, we get:

16 = 10k

Divide each side by 10 to solve for k:

16/10=

 k = 1.6

Solve the second part of the variation equation:

Because we have found our relationship constant k = 1.6, we form our new variation equation:

y = 1.6x

Since we were given that x, we have

y = 1.6()

y = 0


B)Plugging in our initial statement values of y = 1 when x = 15, we get:

1 = 15k

Divide each side by 15 to solve for k:

1/15

=15k

k = 0.066666666666667

7 0
3 years ago
Is (-1,4) a solution of the inequality y<2x+5?
Sveta_85 [38]
Let's plug x= -1, y= 4 in the inequation, we have:
4< 2*(-1)+5
⇒ 4< -2+5
⇒ 4< 3 (false)

Therefore, (-1,4) is not a solution of the inequation y<2x+5~
6 0
3 years ago
Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
Mrs.Anderson is giving a test in her third period class she has decided to record the amount of time that each student takes to
ICE Princess25 [194]

The graph Plot of the given results shown represents; A relation only

<h3>How to interpret a scatter plot?</h3>

For it to be a function, then no x-value can produce more than 2 y-values. However, we see that at x = 25, y has 2 values. Similarly, at x = 15, y has two values.

Thus, the graph plot can only be a relation as it is not a function as seen from the points plotted in the graph.

The complete question is;

Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent?

A. both a relation and a function

B. a function only

C. neither a relation nor a function

D. a relation only

Read more about Scatter Plot at; brainly.com/question/6592115

#SPJ1

8 0
2 years ago
Find the length of side x in simplest radical form with a rational denominator<br><br>​
HACTEHA [7]

Answer:

x =  \sqrt{2}

Step-by-step explanation:

\tan 30 \degree =  \frac{x}{ \sqrt{6} }  \\  \\  \frac{1}{ \sqrt{3} } =  \frac{x}{ \sqrt{6} }    \\  \\ x =  \frac{ \sqrt{6} }{ \sqrt{3} }  \\  \\ x = \frac{ \:  \sqrt{3}  \times  \sqrt{2} }{ \sqrt{3} }  \\  \\ x =  \sqrt{2}

5 0
3 years ago
Other questions:
  • What are the zeros of this function? <br>look at graph<br>a.<br>b.<br>c.<br>d.
    13·1 answer
  • How do I create a graph that represents the phrase, 5 is greater than all the number in the solution.
    8·1 answer
  • What is the expression if you for 45 minutes a day
    10·1 answer
  • Which is the graph of f(x) = (2) ^-x
    9·1 answer
  • Binomial consists of _______ terms. A. 2 B. 1 C. 4 D. 3
    10·2 answers
  • Replace ? with =, &gt;, or &lt; to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2 A. = B. &gt; C.
    7·2 answers
  • A veterinary office is treating dogs and cats. There are 15 more cats than dogs. Altogether, there are 45 animals.
    6·2 answers
  • Help me<br> Help me<br> Help me
    11·1 answer
  • Given the function f(x)=(x+3)^2 and g(x)=3x+13 determine the x values of the point intersection
    11·1 answer
  • Is 8000 meters greater than 9 kilometers?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!