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ZanzabumX [31]
3 years ago
13

Consider the probability that at least 96 out of 152 computers will not crash in a day. Assume the probability that a given comp

uter will not crash in a day is 66%.Approximate the probability using the normal distribution. Round your answer to four decimal places.
Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

0.2061

Step-by-step explanation:

Probability (no crash) = 66% = 0.66

Average (no crash) expected out of 152 computers = 0.66 (152) = 100.32

Standard deviation 's' =  √ [ (154) (0.66) (1-0.66) ] = √ (154) (0.66) (0.34)

=  √ 34.5576 = 5.87

P (x <u>></u> 96) = 1 - P (x <u><</u> 95)

z= (x - u) / s ;  x = sample mean = 95.5 (continuity correction factor = 0.5) ,   u = population average = 100.32

z = (95.5 - 100.32) / 5.87 = 4.82 / 5.87 = 0.82

P (x <u><</u> 95) = P (z <u><</u> 0.82) = 0.7939

P (x <u>></u> 96) = 1 -  0.7939  = 0.2061

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A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
Solve for x.<br><br> 4(x−214)=−3.7<br><br> Enter your answer as a decimal in the box.<br><br> x =
andre [41]
X = 213.075
First you have to get rid of the 4 and since it’s multiplying you to the opposite and that’s dividing.
-3.7 divided by 4 = -0.925
X - 214 = -0. 925
Then you add 214 to -0.925 and get 213.075
7 0
3 years ago
Mickael Saltwood can paint 138 doors in 10 hours, while Scott Kepler can paint 59 doors in 5 hours. Who can paint doors faster,
Anastaziya [24]
59x2=118 so Mickael is faster
3 0
3 years ago
Use The Divergence Theorem To Calculate The Surface Integral and Sis a sphere centered at the origin with a radius of 2. Confirm
marin [14]

Answer: hi your question is incomplete below is the complete question

Use the Divergence Theorem to calculate the surface integral S F dS   with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral

answer : surface integral = 384/5 π

Step-by-step explanation:

Representing  the vector field as

F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k

assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.

Hence the divergence will be represented as :

Attached below is the detailed solution

6 0
3 years ago
Is 8.73 a rational number
djverab [1.8K]

Answer:

Yes

Step-by-step explanation:

8  73/ 100=8.73

3 0
3 years ago
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