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Luda [366]
3 years ago
11

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fai

l on a one-hour flight is .02. a) What is the probability that both will fail?b) Neither will fail?c) One or the other will fail? Show all steps carefully.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Answer:

a) 0.0004

b) 0.9604

c) 0.02

Step-by-step explanation:

When trying to find the probability of a sequence occurring you would simply need to multiply the probability of both of those things occurring together. Since the probability of an alternator failing is 0.02 then the probability of both failing would be...

0.02 * 0.02 = 0.0004

Now the probability of an alternator not failing is 0.98 (100% or 1 minus 0.02) therefore, the probability of both failing would be...

0.98 * 0.98 = 0.9604

Finally, the probability of one or the other failing would simply be the same as the probability of a single alternator failing which is 0.02

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Jamal has $35 to spend at the mall. If pairs of shorts are $9.99, how many can he buy?
Mrac [35]

$35 / $9.99 = 3.5 pairs of shorts

We have to round down because you cannot buy half a pair of shorts

The correct answer is 3 pairs of shorts.

5 0
3 years ago
Read 2 more answers
Find the x- and y- intercepts of the following equation.
Ivanshal [37]

Answer:

The x-intercept is (4,0)

The y-intercept is (0,-3)

Step-by-step explanation:

Suppose you have a function f:

f = f(x,y) = 0

The x-intercept is the value of x when y = 0.

The x-intercept is the value of y when x = 0.

Solution

We have:

f(x,y) = -3x + 4y = -12

-3x + 4y + 12 = 0

x-intercept

The x-intercept is the value of x when y = 0. So:

-3x + 4(0) + 12 = 0

-3x + 12 = 0*(-1)

3x - 12 = 0

3x = 12

x = \frac{12}{3}

x = 4

The x-intercept is (4,0)

y-intercept

The y-intercept is the value of y when x = 0. So:

-3(0) + 4y + 12 = 0

4y + 12 = 0

4y = -12

y = \frac{-12}{4}

y = -3

The y-intercept is (0,-3)

5 0
3 years ago
The equation cos−1 = x can be used to determine the measure of angle BAC.
Sergio [31]

we know that

in the right triangle ABC

the value of cosine of angle x is equal to

cos(x)=\frac{AC}{AB}

we have

AC=3.4\ cm\\AB=10\ cm

substitute the values

cos(x)=\frac{3.4}{10}=0.34

Find the measure of angle x

x=cos(x)^{-1} =arc\ cos(0.34)=70.12\°

Round to the nearest whole degree

x=70\°

therefore

<u>the answer is</u>

70\°


5 0
3 years ago
Read 2 more answers
Aha please help!!!!! im a bit confused lol
Stels [109]

Answer:

e : g = 2 : 7

Step-by-step explanation:

e/f = 3/7

e = 3f/7

f/g = 2/3

g = 3f/2

e/g = (3f/7)/(3f/2) = 2/7

3 0
3 years ago
Find the value of y of the figure below.
AURORKA [14]
I hope this helps you

4 0
3 years ago
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