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Harlamova29_29 [7]
3 years ago
6

Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump wil

l fail is .10, and the probability that only the newer pump will fail is .05. What is the probability that the pump- ing system will fail on any given day (which happens if both pumps fail)?
Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer : Probability that the pumping system will fail on any given day = 0.005

Explanation:

Probability that only older pump fail = P(A) = 0.10

Probability that only newer pump fail = P(B) = 0.05

Since they are independent events ,

then the conditions will be

P(A∩B) = P(A). P(B)

             = 0.10 ×0.05

             =  0.005

Hence, the probability will fail on any given day = 0.005

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Write an expression to represent the perimeter of the figure.
r-ruslan [8.4K]

Answer:

5x + 2y + z

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of all the sides of the polygon. This polygons has 8 sides. Their lengths are:

x, x, x, x, x, y, y, z

The perimeter of the polygon is the sum of the lengths shown above.

perimeter = x + x + x + x + x + y + y + z

The expression above can be simplified by combining like terms.

perimeter = 5x + 2y + z

4 0
3 years ago
A company claims its video game players have a defective rate of 4%. What is the probability that you and a friend both receive
alex41 [277]
Since you're looking for the chance that the defective player occurs twice, you need to find the chance your friend receives a defective player given that you also receive one. The chance you receive a defective player is 4%, or 0.04. If you friend also receives a defective player, then the chance of both occurring is 4% of 4%, or 0.04 * 0.04, which equals 0.0016. So the probability that you can a friend both receive a defective player is 0.16%.
5 0
3 years ago
A virtual reality headset lists for $719. Find the net cost after trade discounts if the series discount is 10/30.
ivann1987 [24]

Answer:

479.33

Step-by-step explanation:

10/30 is the same as 1/3 or 33.34%.

Multiply the fraction to the original price then subtract.

719 * 1/3 = 239.67

719 - 239.67 = 479.33

Best of Luck!

5 0
3 years ago
I need help with 20, 23-25 please​
Doss [256]

Step-by-step answer:

All the problems use absolute value function |x|

|x| means the positive value of x.  That means |x| = |-x|

For example, |23| = |-23| = 23  (positive value)

In solving linear equations with absolute value functions, we generally have two solutions, for example:

|x+1| =7   mean we solve for x in

(x+1) = 7 => x=6,  (when x+1 >0)

or

-(x+1) = 7 => x=-8  (when x+1<0)

So the solution is x=6 or x=-9

Q20:

Given: a=-2, b=-3, c=2, x=2.1, y=3, z=-4.2

Evaluate -3|z| + 2 (a + y)

Solution:

Substitute values, namely

-3|z| + 2 (a + y)

= -3 |-4.2|

In solving linear equations with absolute value functions, we generally have two solutions, for example:

|x+1| =7   mean we solve for x in

(x+1) = 7 => x=6,  (when x+1 >0)

or

-(x+1) = 7 => x=-8  (when x+1<0)

So the solution is x=6 or x=-9

Q23:

|f+10|=1

when f+10 > 0 :  (f+10) = 1 => f+10 = 1 => f = 1 - 10  => f = -9

when f+10 < 0 :  -(f+10) = 1 => -f -10 = 1 => -f = 1+10 => -f = 11  => f = -11

The solution is therefore  f = { -9, -11 }

Q24:

| v-2 | = -5

when v-2 > 0  :  (v-2) = -5  =>  v-2 = -5  =>  v=-5+2  =>  v = -3

when v-2 < 0  :  -(v-2) = -5   => -v +2 = -5  => -v = -5-2   =>  v = 7

The solution is therefore v = {-3, 7}

Q25:

| 4t-8 | = 20

when 4t-8 > 0 :  (4t-8) = 20  =>  4t = 20+8  =>  4t=28  =>  t=7

when 4t-8 < 0 : -(4t-8) = 20 => -4t +8 = 20 => -4t = 20-8  => -4t = 12  => t = -3

The solution is therefore t = { 7, -3 }

6 0
3 years ago
CORRECT ANSWER WILL BE MARKED AS BRAINLY:The double number line below shows the price for a certain number of bottles of vinegar
Gnesinka [82]
If 2 bottles=6 and 8 bottles=24 then split 2 bottles and 6 dollars in half
1 bottle=3 dollars
24+3=27
So, $27 for 9 bottles of vinegar.
5 0
3 years ago
Read 2 more answers
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