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s2008m [1.1K]
4 years ago
9

A flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard

deviation of three months. The distribution is approximately normal. One production run of batteries in the factory was 25,000 batteries. How many of those batteries can be expected to last between three years and one month and three years and seven months?
Mathematics
1 answer:
olga_2 [115]4 years ago
7 0

Answer:

17000 batteries

Step-by-step explanation:

Three years and one month is equivalent to the mean minus one standard deviation.

Three years and seven months is equivalent to the mean plus one standard deviation.

For a normal distribution, we know that 68% of population is between mean ± 1 sd, then can be expected that 25000*68% = 17000 of batteries last between three years and one month and three years and seven months

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You throw three darts at the board shown. each dart hits the board and scores a 22​, 44​, or 88. how many different total scores
-Dominant- [34]
1) 22 + 22 + 22
2) 22 + 22 + 44
3) 22 + 44 + 44
4) 44 + 44 + 44
5) 44 + 44 + 88
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7) 84 + 84 + 84
8) 84 + 84 + 22
9) 84 + 22 + 22
10) 84 + 22 + 38

10 different total scores
5 0
3 years ago
The equation the quantity of x plus 20 over 2 = 3x represents when two tutoring services with different rate plans charge the sa
victus00 [196]

The solution to the equation is x = 4

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the equation is given as

(x + 20)/2 = 3x

Multiply both sides of the equation by 2

x + 20 = 6x

Subtract x from both sides of the equation

5x = 20

Divide both sides of the equation by 5

x = 4

hence, the solution to the equation is x = 4

Read more about equations at:

brainly.com/question/2972832

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7 0
2 years ago
Ten times the sum of half a number and 6 is 8
KATRIN_1 [288]

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Yep !  By golly, sho nuff, dV-dT and E to the X !  
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5 0
3 years ago
A rental car company is running two specials. Customers can pay $40 to rent a compact car for the first day plus $6 for each add
Flura [38]

Answer: she wants to rent the car for 11 days.

Step-by-step explanation:

Let x represent the number of additional days that Pamela wants to rent the car for.

Customers can pay $40 to rent a compact car for the first day plus $6 for each additional day. This means that the total cost of using this special for x days would be

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30 + 7(x - 1) = 30 + 7x - 7

= 23 + 7x

Since she found out that the two specials are equivalent for x days, then

34 + 6x = 23 + 7x

7x - 6x = 34 - 23

x = 11

4 0
4 years ago
I’m really struggling with these proofs. We just started learning them and I’m highly confused!! Please help :)
gulaghasi [49]
I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:

(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles

8 0
4 years ago
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