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Jet001 [13]
3 years ago
6

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 93 m

onths and a standard deviation of 3.8 months. When this computer-relay microchip malfunctions, the entire satellite is useless. A large London insurance company is going to insure the satellite for 50 million dollars. Assume that the only part of the satellite in question is the microchip. All other components will work indefinitely.
(a) For how many months should the satellite be insured to be 96% confident that it will last beyond the insurance date?
Mathematics
1 answer:
aliina [53]3 years ago
4 0
The insurance period must be chosen so that the probability of a microchip failure within that period is 4%. Reference to a standard normal distribution table shows that the z-score for a cumulative probability of 4% is -1.75.
Let the insurance period be X months:
-1.75 = (X - 93)/3.8
-6.65 = X - 93
X = 83.35 months.
The answer is 83.35 months.

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Danielle runs 1/5 of a mile in 4.5 minutes. if she continues at the same speed, how long will it take her to run two miles?
motikmotik
(1/5) / 4.5 = 2 / m....1/5 mile to 4.5 minutes = 2 miles to m minutes
cross multiply
(1/5)(m) = (2)(4.5)
1/5m = 9
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m = 45 minutes <===
4 0
3 years ago
PLEASE HELP ME THANK YOUUUU
MArishka [77]
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6 0
3 years ago
Help, please in this problem
Nikolay [14]

Answer:

x=9.768

y=6.972

Step-by-step explanation:

For this problem we have to use the trig relationships of cos and sin to figure out the lengths. Cos is equal to adjacent/hypotenuse so we can set it as x/r=.814 and since r is equal to 12 we can do 12 times .814 to get x.

We do a similar process for sin but sin is equal to opposite/hypotenuse so we can set up the equation y/r=.581 and we simply multiply both sides by 12 to get 12*.581 to get y.

Also for future reference adjacent and hypotenuse are based on the angle at use, since ∅ is on the bottom left x is the adjacent side and y is the opposite side.

3 0
3 years ago
PLEASE HELP QUICK!!! A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some
Mekhanik [1.2K]

Answer: 3 kids take 3 pieces of candy each

Step-by-step explanation:

Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)

Number of children that took 5 pieces is y ( total take 5*y pieces of candy)

1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.

( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy.  So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )

So we have 2 equations or the system of 2 equations:

1).  x+y=18

2). 3*x +5*y=84

Multuply both sides of equation 1) by 3

We have   3*x+3*y=18*3

Deduct 3*y from both sides of this equation

3*x+3*y-3*y=54-3*y

3*x=54-3*y

Substitute 3*x in equation  2).  by 54-3*y

2) 54-3*y+5*y=84

2*y=30

y=15  ( kids take 5 pieces of candy each)

Using equation 1) find x

x+15=18

x=3 (kids take 3 pieces of candy each)

5 0
3 years ago
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Nadusha1986 [10]

Answer:

The answer is √10,−√10 (award brainliest)

Step-by-step explanation:

Take the root of both sides and solve.

Exact Form:  x  = √10,−√10

Decimal Form:  x  =   3.16227766...,−3.16227766...

for more detailed explanation comment down below this post and ask

8 0
3 years ago
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