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sleet_krkn [62]
2 years ago
6

A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50 hours. If the life of these lig

ht bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours?
Mathematics
1 answer:
Yuki888 [10]2 years ago
8 0

Answer:

99.7% of the distribution will be between 600 hours and 900 hours.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 750

Standard deviation = 50

What percent of the distribution will be between 600 hours and 900 hours?

600 = 750 - 3*50

600 is 3 standard deviations below the mean

900 = 750 + 3*50

900 is 3 standard deviations above the mean

By the Empirical Rule, 99.7% of the distribution will be between 600 hours and 900 hours.

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Producers will make 1000 refrigerators available when the unit price is $280.00. At a unit price of $400, 5000 refrigerators wil
Kobotan [32]

Answer:

For linear equations we use:

p=mx+b   ------  (1)

Now we have the following coordinates:

(x1,p1)= (1000,280) and (x2, p2)=(5000,400)

First we need slope (m)

m= (400-280)/(5000-1000)

= 120/4000=0.03

Now we will plug the value of m in the first equation

280=0.03(1000)+b

=> 280=30+b

=> b = 250

Now plug into p=mx+b using only m=0.03 and b=250

p=0.03x+250

When the unit price is $440, we can plug in 440 in for p;

440=0.03x+250

=> 0.03x=440-250

=> 0.03x=190

=> x = 6333 refrigerators

The lowest price at which  a refrigerator will be marketed, we can find this by plugging x = 0 in p=mx+b.

p=0.03(0)+250

=> p = $250

6 0
3 years ago
chase and sara went to the candy store. chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. sara bought 2 pieces of fud
Vilka [71]
Let, the cost of 1 piece of fudge = x
Cost of a gum = y

System of equations: 5x + 3y = 5.70
2x + 10y = 3.60

Multiply 1st equation by 2, and second by 5, 
New equations: 10x + 6y = 11.40
10x + 50y = 18

Now, subtract 1st from 2nd, 
44y = 6.60
y = 6.60 / 44
y = 0.15

Substitute it in second equation, 
2x + 10(0.15) = 3.60
2x = 3.60 - 1.5
x = 2.10 / 2
x = 1.05

In short, Cost of a Fudge = $1.05 & Cost of a gum = $0.15

Hope this helps!
6 0
3 years ago
75% OFF!
ICE Princess25 [194]
$676.

If the sale price of the coat is $169, you are looking for the original price. I like to think about it in the sense that if an item is 75% off, you are paying 25% of the original amount. Using that logic, in order to determine the sale price you would use the equation

Original price * 25% = $169

To solve for the original price:

Original price = $169/.25 = $676.
7 0
2 years ago
A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many differe
Vikki [24]
This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm


4 0
3 years ago
Read 2 more answers
HURRY 5th grade math. correct answer will be marked brainliest
Jobisdone [24]

Step-by-step explanation:

ig this is 29 .............

8 0
2 years ago
Read 2 more answers
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