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](https://tex.z-dn.net/?f=P%28X%5Cgeq%2011%29%5C%5C%5C%5C%3D1-0.8667%5C%5C%3D0.1333)
(b) the probability that the battery life is less than 10.0 hours
=![P(X](https://tex.z-dn.net/?f=P%28X%3C10%29%20%5C%5C%3D%200.1333)
(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
x = 8
Solution:
Side-splitter theorem:
<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>
![$\Rightarrow\frac{4}{21} =\frac{x}{42}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B4%7D%7B21%7D%20%3D%5Cfrac%7Bx%7D%7B42%7D)
Do cross multiplication, we get
⇒ 4 × 42 = 21x
Divide by 21 on both sides, we get
⇒ 4 × 2 = x
⇒ 8 = x
Switch the sides.
⇒ x = 8
The value of x is 8.
Answer:
![\displaystyle \left(1,\frac{5}{12}\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%281%2C%5Cfrac%7B5%7D%7B12%7D%5Cright%29)
Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:
![w=mt+b](https://tex.z-dn.net/?f=w%3Dmt%2Bb)
Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):
![0=m(0)+b](https://tex.z-dn.net/?f=0%3Dm%280%29%2Bb)
It follows that b=0
The equation now takes the form:
![w=mt](https://tex.z-dn.net/?f=w%3Dmt)
Using the point (12,5):
![5=m(12)](https://tex.z-dn.net/?f=5%3Dm%2812%29)
We find m:
![\displaystyle m=\frac{5}{12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B5%7D%7B12%7D)
The final equation is:
![\displaystyle w=\frac{5}{12}\cdot t](https://tex.z-dn.net/?f=%5Cdisplaystyle%20w%3D%5Cfrac%7B5%7D%7B12%7D%5Ccdot%20t)
Substituting t=1:
![\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20w%281%29%3D%5Cfrac%7B5%7D%7B12%7D%5Ccdot%20%281%29%3D%5Cfrac%7B5%7D%7B12%7D)
The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
![\boxed{\displaystyle \left(1,\frac{5}{12}\right)}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20%5Cleft%281%2C%5Cfrac%7B5%7D%7B12%7D%5Cright%29%7D)
Answer:
I think it would be 2+ -11
Step-by-step explanation: