Light bulbs are normally distributed with an average lifetime of 1000 hours and a standard deviation of 250 hours. The probability that a light bulb picked at random will last between 1400 and 1500 hours is about:

Answers

Answer 1

Answer:

The probability that a light bulb picked at random will last between 1400 and 1500

P(14 00≤X≤1500) = 0.032

Step-by-step explanation:

Explanation:-

Given that mean of the Population = 1000

Given that the standard deviation of the Population = 250 hours

Let 'X' be the random variable in a normal distribution

Let  X = 1400

[tex]Z = \frac{X-mean}{S.D} = \frac{1400-1000}{250} = 1.6[/tex]

Let X = 1500

[tex]Z = \frac{X-mean}{S.D} = \frac{1500-1000}{250} = 2[/tex]

The probability that a light bulb picked at random will last between 1400 and 1500

P(x₁≤ X ≤x₂) = P(Z₁≤ Z ≤z₂)

                   = A( Z₂ ) -A(Z₁)

P(1400≤X≤1500)  = P(1.6≤ Z ≤2)

                            =  A(2 ) -A(1.6)

                           =  0.4772-0.4452

                          = 0.032

Final answer:-

The probability that a light bulb picked at random will last between 1400 and 1500

P(14 00≤X≤1500) = 0.032

                   


Related Questions

Can anyone solve this for me?

Answers

Answer:

multiply, 12 inches per foot

Step-by-step explanation:

I NEED HELP IMMEDIATELY!!!!
I am doing this for math homework and don't know if these equations are proportional or not!

25 points available!

Answers

Answer: Looks Proportional

Answer:

The first one is proportional but the second one is not proportional

Step-by-step explanation:

Hope this helps!

The base of the pyramid is a square of side 12cm.
The height of the pyramid is 8cm.
X is the midpoint of QR and XT = 10cm.
A) Draw the front elevation of the pyramid from the direction of the arrow. Use a scale of 1 square to 1cm.
B) Work out the total surface area of the pyramid.

Answers

Answer:

384 .cm2

Step-by-step explanation:

Can anyone help me find the coordinates of the vertex and the line of symmetry ?

Answers

yes!! (0,4) , (2,-3)

Can someone help!! I will give brainlist
I need someone to find the ordered pairs
8x+2y=-22 ( solve for y)
5x+y=-12 (solve for x)

Answers

Answer:

step-by-step explanation:

8x+2y=-22

8(0)+2y=-22

2y=-22

and now it is a two step equation

do the same thing to the other one  

Given trapezoid KLMN with midsegment EF, where KL = 4 and MN = 7, what is the length of EF?​

Answers

Answer:

EF= 5.5

Step-by-step explanation:

7 + 4 = 11

11 divided by 2 = 5.5

What is measure of angle KJL

Answers

Answer:

7x - 8.

Step-by-step explanation:

sad face

Write a multiplication equation that corresponds to this division equation 1/2 ÷ 4​

Answers

Answer:

Step-by-step explanation:

1/2 * 1/4 = 1/8

When you divide fractions you can multiply them if you use el reciproco ( not sure how to tell it in English sorry)

Hope this help

The equivalent multiplication equation is 1/2 x 1/4.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

1/2 ÷ 4​

As, the fraction does not support division.

So, to perform the division we change the division sign into multiplication sign and reciprocate the number on the right side of division sign.

Then, 1/2 ÷ 4​

= 1/2 x 1/4

= 1/8

Hence, the equivalent multiplication equation is 1/2 x 1/4.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ2

What is the range of these wages
245,140,525,163,195,174,140

Answers

the range is about 226

Camilla makes and sells Jewelry. She has 8,160 silver beads and 2,880 black beads to make a necklace. Each necklace will contain 85 silver beads and 30 black beads. How many necklaces can she make?

Answers

Answer:

96.

Step-by-step explanation:

Divide the silver beads by 85=96

Then divide the black beads by 30=96.

Total necklaces that can be made: 96

its on the attachment

Answers

Answer:

add the sides

Step-by-step explanation:

can u go to savageserbs on youtbe and like and watch the new video you dont have to sub

Answer:

Step-by-step explanation:

add the sides

Please help asap I’m giving brainliest! Please

Answers

Answer:

yes, she will have 1 dollar left

Step-by-step explanation:

4$ (sandwich) + 2$ (drink) + 1$ (chips)= 7$

8$-7$= 1$

Write the number in i-form.

−4

Answers

Answer:

[tex]\huge\boxed{\sf 4i^2}[/tex]

Step-by-step explanation:

[tex]\sf = -4\\\\We \ know \ that\ i^2 = -1 \\\\= 4 (-1)\\\\= 4i^2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Can someone verify if this is correct

Answers

Answer:

No.

Step-by-step explanation:

Your line should start at the point (0,-4) and move up 3 and over 1. The next point should be at (1,-1).

Answer:

This is not correct

Explanation:

To show this, I will use the equation y = 3x - 4.

Let's say that x = 3

In this case, 3x = 9

9 - 4 = 5

So y = 5

Since I can see you have the line hitting 3 on the x axis and the line hitting 2 on the y axis in the same spot, the line is not corresponding with the equation.

So if the line is at 0 on the x-axis, it should be -4 on the y-axis

If it is 1 on the x-axis, it should be -1 on the y-axis

And so on and so forth

Does this relation represent a function?

Answers

Answer:

This relation does not represent a function because the domain 1 repeats.

The area of
of a rectangle is (14x^4 + 7x^2) cm²
and its breadth is 7x^2 cm. Find its length.​

Answers

Answer:

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

Answer:

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

[tex] = \frac{(14{x}^{4} + 7 {x}^{2})}{7 {x}^{2} } \\ = \frac{7 {x}^{2}(2 {x}^{2} + 1) }{7 {x}^{2} } \\ = (2 {x}^{2} + 1) \: c {m}[/tex]

(2x^2+1) cm is the right answer.

The sum of two numbers is 56, and their difference is 10. What are the numbers?
ОА.
33 and 23
OB.
30 and 26
OC.
20 and 36
OD
20 and 30

Answers

[tex]\huge\mathtt\purple{Answer :- }[/tex]

Given :-

Sum of the two numbers = 56

Difference between the two numbers = 10

To Find :-

Two numbers

Solution :-

Let the two numbers be 'm' and 'n'

Now we can get,

1) m + n = 56

2) m - n = 10

1) First we will solve the first equation,

m + n = 56

n = 56 - m

2) Now, solve the second equation,

m - n = 10

By substituting n = 56 - m we get,

m - (56 - m) = 10

56 - m - m = 10

56 - 2m = 10

-2m = 10 - 56

-2m = -46

m = - 46/-2

m = 23

Now, we will find 'n' by the equation 1 ,

n = 56 - m

n = 56 - 23

n = 33

Hence, The two numbers are (A) 23 and 33

Let's verify :-

33 + 23 = 56

33 - 23 = 10

Hence, verified

For a hypothesis test of H0: p = 0.65 against the alternative Ha: p < 0.65, the z test statistic is found to be -2.35. What can be said about his finding?

The finding is significant at both α = 0.05 and α = 0.01.

The finding is significant at α = 0.05, but not at α = 0.01.

The finding is significant at α = 0.01, but not at α = 0.05.

The finding is not significant at α = 0.05 and α = 0.01.

The finding is inconclusive because we don't know the value of p

Answers

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

Step-by-step explanation:

Given that:

Null hypothesis : H0: p = 0.65 against the Alternative Ha: p < 0.65,

The test statistic ; z test = - 2.35

From the test statistic value, we can obtain the p value of the test :

To determine if the claim is significant at both α = 0.05 and α = 0.01

We compare the Zstatistic and Zcritical values

If Zstatistic < Zcritical ; then we reject H0; if otherwise, we fail to reject H0

Zcritical at 95% one tailed = - 1.645 (left tail)

Zcritical at 95% one tailed = -2.326 (left tail)

- 2.35 < - 1.645

-2. 35 < 2.326

Since, Zstatistic < Zcritical;

The finding is significant at both α = 0.05 and α = 0.01.

Find the value of x.

Answers

Answer:

x= 10( co interior angle)

What is the contra positive of the statement if 9x=27, then x=3

Answers

Answer:

If 9x is not =27, then x is not =3

Step-by-step explanation:

Going out on a limb here, please ignore if I'm missing it:

If 9x is not =27, then x is not =3

(I can't type the equal sign with a slash through it.)

Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.

Answers

Answer:

(18-x-5) + (18+x)/2 =Total Left

Step-by-step explanation:

Sue has left    Tony has left    

(18-x-5)     +      (18+x)/2 =   Total Left

Sue: 18-x-5, which simplified is 13-x
Tony: 18+x divided by 2 = 9+1/2x
(13-x) (9+1/2x)



An electrician charges 110 after 2 hours of work and 190 for 4 hours of work. Write a linear equation in point-slope form that represents the total cost (y) as a function of the number of hours worked (x).

Answers

Answer:

y = 40x + 30

Step-by-step explanation:

The equation for a linear function is given by:

y = mx + b;

where y and x are variables, m is the slope or rate of change of the function and b is the initial value of y at x = 0 (that is y intercept).

Let y represent the total cost and x represent the number of hours worked.

The electrician charges 110 after 2 hours of work and 190 for 4 hours of work.

Representing in coordinate form as (x, y) we get:

(2, 110) and (4, 190)

The equation of the function can be gotten using the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Therefore:

[tex]y-110=\frac{190-110}{4-2}(x-2)\\\\y-110=40(x-2)\\\\y-110=40x-80\\\\y=40x-80+110\\\\y=40x+30[/tex]

In ΔEFG, e = 210 cm, f = 520 cm and g=510 cm. Find the measure of ∠G to the nearest degree. PLEASE VERY URGENT.

Answers

Answer:

76°

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Delta Math

help in LCM HELP HELP HELP HELP HELP HELP HELP HELP HELP ​

Answers

Use the app Math-way and take picture of it and pick factoring

Identify the property you would use to solve this equation:
y - 7 = 28

Answers

The property used to solve y - 7 = 28 is the Addition Property of Equality

awnser: y=35

explanation: I ADDED the 7 to 28 to cancel out the 7, leaving me with y=35, hope this helped

Please help!!! 10 point for it :)

Answers

Answer: aight bro I only know B which is 90°. If it’s drawn to scale use a protractor. Is there more info, maybe I can help

Step-by-step explanation:

find the value of x.

Answers

Isn’t it 12 times 12 I might be wrong

Find the volume of a cube with a side length of 2.8 in, to the nearest tenth of a
cubic inch

Answers

2.8x2.8x2.8=21.952 but to the nearest tenth of a cubic inch it is 22.0

At the store finlay bought 48 ounces of candy for 4$ how many ounces could he buy for $1

Answers

48 divided by 4 would be 12, so 12 ounces

For males in a certain town, the systolic blood pressure is normally distributed with a

mean of 110 and a standard deviation of 9. Using the empirical rule, determine the

interval of systolic blood pressures that represent the middle 95 of males.

Answers

Answer:  (92, 128)

Step-by-step explanation:

According to the Empirical rule,

If the population is normallly distributed, then 95% of the population lies within 2 standard deviations from the mean.

Given: Mean = 110

Standard deviation = 9

The interval of systolic blood pressures represent the middle 95% of males:

(110-2(9), 110+2(9))

= (110-18, 110+18)

= (92, 128)

Hence, the interval of systolic blood pressures that represent the middle 95 % of males =  (92, 128)

Answer:

its 92, 128

Step-by-step explanation:

DONT LET THE COMMENT FOOL YOU!! >:(

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