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fredd [130]
2 years ago
10

The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a stand

ard deviation of 20 hours. The proportion of batteries with lifetimes exceeding 520 hours is approximately
A. 0.4207
B. 0.2000
C. 0.5793
Mathematics
1 answer:
Burka [1]2 years ago
8 0

Answer: A. 0.4207

Step-by-step explanation:

Given : The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours.

i.e. \mu=516

\sigma=20

Let x denotes the lifetime of a 2-volt non-rechargeable battery in constant use.

Then , the probability of batteries with lifetimes exceeding 520 hours is approximately:-

P(X>520)=1-P(x\leq520)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{520-516}{20})\\\\=1-P(z\leq0.2)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\ =1-0.5793\ \ [\text{By z-table}]\\\\=0.4207

Hence, the proportion of batteries with lifetimes exceeding 520 hours is approximately 0.4207.

∴ Correct option is A. 0.4207

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Answer:

1. 2(k + 3)

2. 3. 75 + k

Step-by-step explanation:

1. 2x + 6

Since, 2 is a common factor of 2 and 6, we can take that common outside.

So, 2x + 6 = 2(x + 3)

Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.

2. (1.5 + k) + 2.25

This is simple addition. We can simply remove the brackets to have:

1.5 + k + 2.25

Since, the like terms can be added, we will have:

1.5 + 2. 25 + k

= 3. 75 + k

8 0
3 years ago
Nila uses the equation c=8h to figure out the total amount c she should charge a customer if she babysits for h hours.
nydimaria [60]

Answer:

c = 10h

Step-by-step explanation:

c = 8h

Where,

c = Total amount she should charge a customer

h = Number of hours

8 = amount charged per hour of babysitting

A. 8 is the constant of proportionality and it means Nila charges $8 per hour of babysitting

B. If she decides to increase the rate she charges customers by $2 per hour, then the new equation she should use to determine how much to charge her customers is:

c = (8 + 2)h

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3 0
2 years ago
Find the equation of the plane z = mx + ny + b which contains the points (0,0,6), (1,0,-3) and (0,2,5).
leonid [27]
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.. 0m +0n +b = 6
.. 1m +0n +b = -3
.. 0m +2n +b = 5

(m, n, b) = (-9, -1/2, 6)
so the equation of the plane can be written as
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_____
In standard form, this would be
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8 0
2 years ago
1. How would you solve the equation<br> 3a + 7 = – 2 by graphing?
ddd [48]

Answer:

You draw it on the graph right

4 0
2 years ago
A truck driver can travel 560 miles on 28 gallons of gas. How far can he travel on 35 gallons of gas?
Shtirlitz [24]
560 / 28 = 20....so the driver travels 20 miles per gallon

on 35 gallons......35 * 20 = 700 miles <==

or u can also do it this way...

560/28 = x / 35....560 miles to 28 gal = x miles to 35 gal
cross multiply because this is a proportion
(28)(x) = (560)(35)
28x = 19600
x = 19600/28
x = 700 miles <==

so u can either do it by finding the unit rate or by making a proportion. either way will result in the same answer.
8 0
3 years ago
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