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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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Inessa05 [86]

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all work is shown and pictured

7 0
2 years ago
Answer the following questions:
timama [110]

Answer:

Question 1: 76 dollars. ($76)

2. 1/5  

3. 1/19

4. 1/5

Step-by-step explanation:

QUESTION 1:

228 (the amount Mrs. Nicci had) divided by 3 (children) is equal to 76

228/3 = 76

QUESTIONS 2, 3, AND 4.

2. Find the greatest common divisor (GCD). the GCD of 14 and 70 is 14. Then, divide the numerator and denominator by 14.

14/14 = 1

70/14 = 5

WHICH EQUALS 1/5!!

3. Find the greatest common divisor (GCD). the GCD of 5 and 95 is 5. Divide both the numerator and denominator by 5.

5/5= 1

95/5= 19

WHICH EQUALS 1/19!!

4. Find the greatest common divisor (GCD). the GCD of 12 and 60 is 12. So (like we have been doing for the whole part of this question), divide both the numerator and denominator by 12, which is the GCD.

12/12 = 1

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WHICH EQUALS 1/5!!

Hope this helped.. I think this is like one of the longest Brainly answers I've recently had to type lol

4 0
2 years ago
A rectangular swimming pool measures 14 feet by 30 feet. The pool is
Zolol [24]

Answer:

The total cost of resurface the path is \$600

Step-by-step explanation:

step 1

Find the area of the path

The area of the path is equal to the area of the path plus the swimming pool minus the area of the swimming pool

A=(14+3+3)(30+3+3)-(14)(30)

A=(20)(36)-(14)(30)

A=300\ ft^{2}

step 2

Find the cost of resurface the path

Multiply the area of the path by $2 per square foot

300*2=\$600

4 0
3 years ago
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Schach [20]

Step-by-step explanation:

31 37 41 43 47 51 53 57 59

are the prime numbers between 30 and 60

6 0
2 years ago
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Triss [41]

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

7 0
3 years ago
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