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NeX [460]
3 years ago
12

The National Aeronautics and Space Administration (NASA) purchased a new solar-powered battery guaranteed to have a failure rate

of only 1 in 20. A new system to be used in a space vehicle operates on one of these batteries. To increase the reliability of the system, NASA installed three batteries, each designed to operate if the other batteries in the chain fail. If the system is operated in a practical situation, what is the probability that all three batteries would fail
Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

The probability that all three batteries would fail is given as:

= 0.000125

Step-by-step explanation:

Given that the probability of the new battery failing = 1/20 or 0.05,

Therefore, the probability that all three batteries would fail is given as:

= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing

= P(A)*P(B)*P(C)

= 0.05 * 0.05 * 0.05

= 0.000125

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Under his cell phone plan, Liam pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $90 pe
natulia [17]

Answer:

5y+69.50<90

Step-by-step explanation:

You can think of the number of gigabytes he will use as "y", since we don't know the number of gigabytes he will use. The flat cost of one month is $69.50.

You need to add those to calculate the complete cost. The inequality would use a less than sign because he needs to pay less than $90/month. It would not use an inequality sign with a line under it because the problem doesn't say he wants to use $90 or less.

You would solve using basic computation (subtraction and division). Hope this helped!

3 0
2 years ago
Kyle drives 330 miles on 15 gallons of gas. How many miles per gallon (mpg) did Kyle get? A) 12 mpg B) 16 mpg C) 19 mpg D) 22 mp
Vikki [24]

Answer:

d. 22mpg

Step-by-step explanation:

330/22

5 0
3 years ago
Read 2 more answers
What is the length of line segment KJ?
Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

KJ^2=KM^2+MJ^2

KJ^2=6^2+3^2

KJ^2=36+9

KJ^2=45

Now we will take positive square root on both sides:

\sqrt{KJ^2}=\sqrt{45}

KJ=\sqrt{9\cdot 5}

KJ=3\sqrt{5}

Therefore, the length of line segment KJ is 3\sqrt{5} and option D is the correct choice.

5 0
3 years ago
What is the measure of angle DBC
MAXImum [283]
The angle measure of DBC is 45
3 0
3 years ago
Look at the graph shown<br> Which equation best represents the line?
Brilliant_brown [7]

y=\frac{11}{4}x +4 is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

x_1=0,y_1=-4,x_2=4, y_2=7

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

<em>y-intercept is the point which line crosses at y-axis.</em>

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{7-(-4)}{4-0}

$m=\frac{11}{4}

Equation of the line:

y = mx + c

y=\frac{11}{4}x +4

Hence y=\frac{11}{4}x +4 is the equation best represents the line.

5 0
3 years ago
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