A type of battery-operated led lights has a known mean lifetime 7.9 hours with standard deviation 0.5. Assuming that the lifetimes of these led lights have a nearly symmetric/bell-curve distribution, find the percent (%) of these led lights having lifetime between 7.9 and 8.9 hours.

Answers

Answer 1

Answer:

47.5% of these led lights have lifetime between 7.9 and 8.9 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 = 7.9 hours

Standard deviation = 0.5 hours

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Lifetime between 7.9 and 8.9 hours:

7.9 hours is the mean.

8.9 = 7.9 + 2*0.5

So 8.9 hours is two standard deviations above the mean.

Of the 50% of the measures that are above the mean, 95% are between the mean of 7.9 and two standard deviations above the mean(8.9). So

0.5*0.95 = 0.475

47.5% of these led lights have lifetime between 7.9 and 8.9 hours.


Related Questions

i have 32 lunches i put the lunches in 8 bags with the same number of lunches in each bag. how many lunches are in each bag

Answers

the answer is 4, the equation for that and to get that answer would be 32 divided by 8
answer=4
32 divided by 8 equals 4 :)

i giveeeeee brainlilsttt

Answers

Answer: H

Step-by-step explanation:

Answer:

12*6=72

Step-by-step explanation:

hope it helps.:-)

Emily increased the price of carrot cakes at her bakery by 6%. The original price of a carrot cake is represented by x. Which expression represents the price of a carrot cake after the increase?b

Answers

Answer:

1.06x

Step-by-step explanation:

The original price of a carrot cake is represented by x.

Emily increased the price of carrot cakes at her bakery by 6%.

We need to find an expression that represents the price of a carrot cake after the increase.

Price = x+6% of x

[tex]=x+\dfrac{6}{100}x\\\\=x+0.06x\\\\=1.06x[/tex]

Hence, the required equation is "1.06x".

Answer:

1.06x

Step-by-step explanation:

Solve using substitution.
X = -5
-3x + y = 19

Answers

y=4
i hope this helped you

Factor this expression: 3x+x^2-10

Answers

factored:

(x - 2)(x + 5)

Answer:

(x - 2)(x + 5)

Enter a digit in each box to complete the division problem.

Pls help Im giving braInllest and 100 points

Answers

There is no picture... what are the equations?

There's no picture.

And the link is invalid.

HELPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

(6,0) or just 6

(6,0) since it’s on a graph

What is the unit rate for the ratio 100 points 4 games

Answers

Answer:

25

Step-by-step explanation:

100 / 4 = 25

if helpful, pls mark 5 star, thanks, and brainliest!

ANSWER:
25

EXPLANTION:
100/4 is 25

FUN FACT:
Games provide a 23 percent gain over traditional learning.

I hoped you have a nice day to whoever is reading this :)

Follow the steps taken by a student to solve the equation below.
1
Solve:
3(x+2)=13-2(x+1)
Step 1:
3r+6=13-2v-2
Step 2:
3r+6=11-2
Step 3:
+6=11
Step 4:
x=15
Which is the first incorrect step in the solution shown above?

Answers

Answer:

When the hel.l did x turn into R?

Step-by-step explanation:

its step 2 forogt the variable

Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative. Is the product positive or negative? Why?

● Negative; there are three negative factors
● Negative; there are four negative factors
● Positive; there are three negative factors
● Positive; there are four negative factors ​

Answers

Answer:

negative they are 4 negative factors

The product of the expression would be Negative; there are four negative factors.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have a multiplication expression with eight rational factors.

It is given that Half of the factors are positive and half are negative.

For an integer, the factor is the decomposition of that integer in terms of smaller integers; when multiplied with each other gives back that considered number. Those composing integers are known as factors that considered integers.

The product of the expression would be Negative; there are four negative factors.

Learn more about multiplications;

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How many judges should be selected to estimate the population mean wage with 90% confidence and a margin of error of $2.00

Answers

Answer:

The number of judges that should be selected  is 25

Step-by-step explanation:

Given that:

The C.I = 90%

Level of significance = 1 - C.I

= 1 - 0.90

= 0.10

Critical level for [tex]Z_{\alpha/2}[/tex] at 0.10 = 1.645

The margin of error E = 2.00

Let's assume that the sample standard deviation was $6.11

Then;

The number of judges that should be selected can be computed by using the formula:

[tex]E = Z_{\alpha/2} \times \dfrac{s}{\sqrt{n}}[/tex]

[tex]2 = 1.645 \times \dfrac{6.11}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 10.05095[/tex]

[tex]\sqrt{n} = \dfrac{10.05095}{2}[/tex]

[tex]\sqrt{n} =5.026[/tex]

[tex]n=(5.026)^2[/tex]

n = 25.26

n ≅ 25

Noah made 12 kg of trail mix for his family's hiking trip. His family ate 8,600 g of the trail mix on the hiking trip.
How many grams of trail mix did Noah have left?

Answers

Noah had 3,400 grams left

Strawberries cost $3.00 per pound. For each question, explain or show your
reasoning.
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.00?


I need help

Answers

Step-by-step explanation:

1. its either 0 or 1/4 cause cause each pound is $3 and he had less then that.

2. 3 cause its either u count by 3 till u get to 11 or below it

The answers to both subparts using mathematical operations are shown:

(A) Strawberries at $1.00: 0.33 pounds(B)  Strawberries for $11.00: 3.67 pounds

What are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value. The quantity of operands affects the operation's arity.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation. We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, and division (from Left to right), addition, and subtraction (from left to right).

(A) Strawberries at $1.00:

1/30.33 pounds

Strawberries at $1.00: 0.33 pounds

(B)  Strawberries for $11.00:

11/33.67

Strawberries at $11.00: 3.67 pounds

Therefore, the answer to both subparts using mathematical operations are shown:

(A) Strawberries at $1.00: 0.33 pounds(B)  Strawberries for $11.00: 3.67 pounds

Know more about mathematical operations here:

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3 pounds because strawberries cost $3.00 per pound.What is cost? A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.What connection exists between price and quality?Regardless matter whether the relationship is positive [higher costs are linked with higher quality] or negative [higher quality is associated with lower costs], the majority of research have concluded that the relationship between cost and quality is minimal to moderate.Given: Cost of Strawberries per pound = $3. 00a. How many pounds of strawberries can you buy for $1.00?Answer: 0 because the cost of per pound strawberries is $3.00So, he can not but any pound at $1.00but he can but 1/4 pound as the cost given b. How many pounds of strawberries can you buy for $11.00?Therefore, 3 pounds because strawberries cost $3.00 per pound.To learn more about : cost calculationRef: https://brainly.com/question/17215284#SPJ2

y+4x=2 in slope intercept form​

Answers

Answer: y=-4x+2

Step-by-step explanation: You have to get Y by itself so you subtract 4x from the right and you get -4x+2 with Y by itself

Suppose you had a population of fish whose lengths were normally distributed with a mean of 50 centimeters and a standard deviation of 5 centimeters. You draw a simple random sample of size 10, record the length of each fish, and calculate the mean of the sample lengths. What do you think your sample mean would most likely be

Answers

Answer:

The sample mean would most likely be 50 centimeters.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

The mean of the population is 50 centimers.

So, by the Central Limit Theorem, the sample mean would most likely be also 50 centimeters.

What will be the new coordinate of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3

Answers

You must observe the distances from the center of the dilation at point A to the other points B, C and D. The dilation image will be 1/3 of each of these distances. AB = 6, so A'B' = 2. AD = 9, so A'D' = 3.

Can I get brainllest

Please answer this correctly without making mistakes

Answers

Answer:

7 c 7 fl oz

Step-by-step explanation:

Which of the following can be used to describe the rectangle below?

An ordinary rectangle is shown in the picture.

A.
All angles are acute.

B.
Opposite sides are perpendicular.

C.
Opposite sides are parallel.

D.
All sides are the same length.

Answers

Answer:

c. opposite sides are parallel.

Step-by-step explanation:

Graph the following equation: y=1/2x-3

Answers

Answer:

answer in picture in explanation.

Step-by-step explanation:

If you apply the changes below to the absolute value parent function, f(x) = (x,

what is the equation of the new function?

Shift 4 units left.

Shift 2 units up.

A. g(x) = \x - 41 + 2

B. g(x) = x + 21 - 4

C. g(x) = [X + 4 + 2

D. g(x) = x + 2 + 4

Answers

Answer:

C) g(x) =  |x+4|+2

The new function  g(x) =  |x+4|+2

Step-by-step explanation:

Given that the parent function f(x) = |x|

The function shifts '4' units left then the function transformed to

g(x) = |x+4|

Again the function shift '2' units up then the function transformed to

g(x) = |x+4|+2

Final answer:-

The new function g(x) =  |x+4|+2

         

Tyler made six loaves of pumpkin bread that had 1/4 cup of oil in each loaf. After he was done baking, he had 3/8 cup of oil remaining. How much did he have before baking

Answers

Answer:

1.875

Step-by-step explanation:

1/4 times 6= 3/2

3/2 + 3/8 =1.875

hope this helps!

Five real estate exam scores are 430,430,480,480,495. The data set is humoral because the scores 430 and 480 each occur twice.Which mode would be a better representation of the “center” of the data?

Answers

i think it would be 480 since its in the middle.

Carson receives a weekly allowance for completing all of his chores. The current amount Carson receives
is $13. That is 30% more than he got during elementary school. What was Carson's weekly allowance
then?

Answers

Answer yes it is

Theroy cause

Answer to get the most points all multiples of 2,3,4 and 5

Answers

Answer:

Step-by-step explanation:

1:    1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10....

2:   2, 4, 6, 8, 10....

3:  3, 6, 9, 12, 15, 18, 21, 24, 27....

4:   4, 8, 12, 16, 20, 24, 28, 30....

5:   5, 10, 15, 20, 25, 30, 35 40, 45...

1.160 is what percentage of 407 2. 40 is 160% of what number? 3. What number is 40% of 160?​

Answers

1. 6.6 percent
2. 25
3. 64

Tracey paid $120 for an item that was originally priced at $390. What percent of the original price did Tracey pay?​

Answers

Answer:

Tracey paid 34.5% of the original price.

Explanation

Tracey paid $190 for an item that was originally priced at $550.

For finding the percentage, first we need to divide the paid amount by the original price and then multiply the result by 100%

So, the percentage 190/500 x 100 % = 34.5% (Rounded to the nearest tenth)

Answer:

33.33 or 33 1/3

Step-by-step explanation:

Find the exact length of the third side.
73 55

Answers

Answer:

91.4

Step-by-step explanation:

We know that the formula to a right triangle is a^2 + b^2 = c^2

so assume 73 and 55 are both Not the hypotenuse, then

73*73 + 55*55 = c^2

5329 + 3025 = 8354

c = 91.4

Martha goes to the grocery store to buy oranges . Oranges are on sale for $1.25 per pound . How much would 5 pound of oranges cost

Answers

Answer:6.25

Step-by-step explanation:1.25x5=6.25

Answer:

$6.25

Step-by-step explanation:

1.25 × 5 = 6.25

hope this helps...

m+2=7/n make n the subject​

Answers

Answer:

[tex]n = \frac{7}{m + 2} [/tex]

Step-by-step explanation:

[tex]m + 2 = \frac{7}{n} [/tex]

To make n as the subject , we need to isolate it.

■ Lets multiply n on both the sides in order to shift n to the L.H.S.

[tex] = > n(m + 2) = \frac{7}{n} \times n[/tex]

[tex] = > n(m + 2) = 7[/tex]

■ Lets now divide (m + 2) on both the sides in order to isolate n in L.H.S

[tex] = > \frac{n(m + 2)}{( m+ 2)} = \frac{7}{(m + 2)} [/tex]

[tex] = > n = \frac{7}{m + 2} [/tex]

Evaluate f(0) if f(x) = 3x +7

Answers

Answer:

[tex]f(0)=7[/tex]

Step-by-step explanation:

[tex]f(0)[/tex] is the value of [tex]f(x)[/tex] when [tex]x=0[/tex]. Therefore, to find [tex]f(0)[/tex], we need to substitute [tex]x=0[/tex] into [tex]f(x)[/tex], or [tex]3x+7[/tex]. Thus, [tex]f(0)=3*0+7=0+7=7[/tex]. Hope this helps!

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