give you 300 dollars if u get this right. you have my word The lifetimes of 20,000 light bulbs are normally distributed. The mean lifetime is 230 days. The standard deviation is 40 days. Find the values defined by the standard deviation in a normal distribution for 3 standard deviations.

Answers

Answer 1
Answer:
Wow !  I didn't know the numbers when I read the question,
but with that much riding on it, I had to go look them up and
learn something.  You probably could have done the same thing
and saved yourself some money, but it's too late for that.  It's all
mine now, as soon as I finish writing this answer.  

In the normal distribution, 68.27% of the values lie within one
standard deviation of the mean, 95.45% lie within two standard
deviations, and 99.73% lie with three standard deviations.

Within one sigma:  68.27% of 20,000 = 13,654
13,654 light bulbs will last between 190 days and 270 days.

Within two sigma:  95.34% of 20,000 = 19,068 
19,068 light bulbs will last between 150 days and 310 days.


Here's the one you asked for:

Within three sigma:  99.73% of 20,000 = 19,946
19,946 light bulbs will last between 110 days and 350 days.

Only 54 light bulbs will burn out in less than 110 days
OR keep going more than 350 days. 

OK.  Now you owe me.


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The set of integers is closed under subtraction.
True
False

Answers

The answer of the  integers is closed  under subtraction is  False

Answer:

false

Step-by-step explanation:

If (7, m) is on a circle with center C(−2, 2) and radius 9, what is the value of m?

Answers

First thing I did was check the distance between the point and the center of the circle on the x-axis, because that was the information already given. Turns out that 7 - (-2) = 9, and so m is equal to the y-value of the center of the circle.

m
= 2

Hope that helps!

A team of three laborers in Mongolia makes rugs by hand for export to the United States. The team works 14 hours a day, six days a week, 50 weeks a year, and is able to make 12 rugs a year. Each laborer is paid a wage that is equivalent to $1.10 per day. The rugs sell for $2,000 each in the United States.

Answers

Given:
3 laborers
works 14 hours a day, 6 days a week, 50 weeks a year
makes 12 rugs a year
material cost 50 per rug
Each laborer is paid a wage of 1.10 per day
rugs sell for 2,000 each in the US
fixed cost 10,000 per year

1.10 per day * # days per year * 3 laborers
50 weeks;/y * 6 days/week = 50 * 6 = 300 days a year
1.10 per day * 300 days a year * 3 laborers = 990 total labor cost

total material cost:
50 per rug * 12 rugs = 600 

total revenue:
2,000 x 12 rugs = 24,000

total profit:
total revenue:          24,000
less:
material cost                 600
labor cost                      990
fixed cost                 10,000
profit                        12,410

At Joe's Pizzeria, small pizzas cost $7.50, and large pizzas cost$11.00. One day between 3:00 PM and 9:00 PM, Joe sold 100 pizzas
and took in $848. How many more small pizzas than large pizzas did
Joe sell during that 6-hour period?
(A) 28
(B) 44
(C) 56
(D) 72

Answers

Answer:

Option B. 44 is the correct answer

Step-by-step explanation:

Let l be the number of large pizzas and s be the number of small pizzas

Then according to the given statement the equations will be:

l+s = 100\ \ \ Eqn\ 1\n11l+7.5s = 848\ \ \ Eqn\ 2

From equation 1

l = 100-s

Putting in equation 2

11(100-s)+7.5s = 848\n1100-11s+7.5s = 848\n-3.5s+1100 = 848\n-3.5s = 848-1100\n-3.5s = -252\n(-3.5s)/(-3.5) = (-252)/(-3.5)\ns = 72

Putting s=72 in equation 1

l+72 = 100\nl = 100-72\nl = 28

How many more small pizzas means we have to find s-l

So,

s-l = 72-28 = 44

Hence,

Option B. 44 is the correct answer

I NEED HELP ASAP(look at the picture for the problem)

Answers

Answer:

M = 1

Step-by-step explanation:

Make x the subject of the following... 2z = 3r + x

Answers

2z = 3r + x

Make x the subject: 

x = 2z - 3r