The talk-time battery life of a group of cell phone is normally distributed with a mean of 5 hours and a standard deviation of 15 minutes. A) What percent of the phones have a battery life of at least 4 hours and 45 minutes?

Answers

Answer 1

The correct answer is 84%

Answer 2

The phone battery lasts at least 4 hours and 45 minutes is 84%.

What is normal distribution of data?

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

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Related Questions

growth or decay pls answer

Answers

this is exponential growth because the base is greater than one. I’m in a college algebra class, trust me i know

Which statement is NOT always true?

Answers

Answer:

are you in 8B

Step-by-step explanation:

A total of 200 people attended a carnival. Children tickets to the carnival cost $2.00. Adult tickets to the carnival cost $4.00. In all, the carnival made
$702 from the tickets sold. Show your work.
Write a system of equations to model the above situation. Define your variables.
- Solve the above system. Show your work or explain how you got your answer in the space provided.
-How many adult tickets were sold? How many children tickets were sold?

Answers

Answer:

$15.02

Step-by-step explanation:

add the money then add the 200. to what u get when u add the money

Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes. What is the ratio of Joe's frogs and snakes to hamsters?

Answers

Answer:

9:8

Step-by-step explanation:

According to the word problem, Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes.

The question is asking the ratio of Joe's frogs AND snakes TO hamsters.

To find out the ratio of frogs and snakes, add how many frogs there are to how many snakes there are.

6 + 3 = 9.

The last part of the equation should be obvious.

There are 8 hamsters.

Therefore, the ratio of Joe's frogs and snakes to hamsters is 9:8.


Robert has a number cube, a coin, and a (fair) spinner numbered 1 to 6.
What is the probability that Robert will roll a "3", land on tails, and spin an even number.
(3 independent events)
Answer:
A: 3/8
B: 5/24
C: 11/24
D: 1/24

Answers

I think B because I think B

i need help with this question pleasee​

Answers

Answer:

A)

this is a corect answer for this question:)

It takes 100 maple trees to make 20 gallons of maple
syrup. How many maple trees will it take to make one
gallon of syrup? Justify your reasoning.

Answers

5 trees per 1 gallon 100/20 = 5/1 = 5

help pls pls pls gan i

Answers

Answer:

C. 5 units

Step-by-step explanation:

look at the graph to the left

this seems too easy so I'm probably wrong but thats how I read the question

Cual es el mejor estimado de la solucion de lsistema de ecuciones lineales graficadas. y=4x-4 2x+y=5

Answers

Answer:

x = 1.5, y = 2

Step-by-step explanation:

Cuando tenemos un sistema de ecuaciones lineales, para resolverlo gráficamente simplemente debemos graficar ambas líneas y ver en que punto las líneas se interceptan.

En este caso, tenemos las líneas:

y = 4*x - 4

2*x + y = 5

El primer paso puede ser escribir ambas líneas en forma estándar, así será más fácil graficarlas.

Para ello, aislamos y en ambas ecuaciones:

y = 4*x - 4

y = 5 - 2*x

Ahora que tenemos ambas líneas debemos graficarlas en un mismo eje de coordenadas, y buscar el punto en donde ambas líneas se interceptan.

Un gráfico de este sistema se puede ver abajo:

Viendo el gráfico, podemos estimar que la solución del sistema es el punto:

(1.5, 2)

Es decir, la solución es:

x = 1.5

y = 2

Solamente para ser completos, también podemos resolver el sistema analíticamente y ver si la solución que encontramos gráficamente es aceptable.

Para ello escribimos el sistema:

y = 4*x - 4

y = 5 - 2*x

Como y esta aislada en ambas ecuaciones, tendremos:

4*x - 4 = y = 5 - 2*x

4*x - 4 = 5 - 2*x

Ahora podemos resolver esto para x.

4*x + 2*x = 5 + 4

6*x = 9

x = 9/6 = 3/2 = 1.5

Remplazando este valor de x en cualquiera de las dos líneas obtendremos el valor de y de la solución:

y = 4*x - 4 = 4*1.5 - 4 = 6 - 4 = 2

Así probamos analíticamente que la solución es x = 1.5, y = 2.

If 3000 is placed in an account at 5% interest and is compounded quarterly for 5 years.How much is in the account at the end of 5 years?

Answers

Answer:

FV= $3,846.11

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,000

Number of periods (n)= 5*4= 20 semesters

Interest rate (i)= 0.05/4= 0.0125

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 3,000*(1.0125^20)

FV= $3,846.11

What evidence is there in the document that the marchers were disciplined

Answers

Answer:

The evidence is the statement made in the document where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

Step-by-step explanation:

The document has been attached. It was from the march by gandhi's followers to the dharasana salt works.

From the document attached, the evidence that they were disciplined is where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

Ln x is greater than or equal to 3

Answers

Answer:

See attached image.

Step-by-step explanation:

[tex]\ln{x} \ge 3[/tex]

To solve for x, use the exponential function e^x (it's the inverse of the ln function).

[tex]e^{\ln{x}} \ge e^3\\x \ge e^3[/tex]

A calculator gives the approximation 20.09

Please answer the question below (ABOUT VECTORS AND MAGNITUDE)

Answers

(a) v appears to have a fixed direction along the positive x-axis. If ||u|| = 150 N, ||v|| = 220 N, then when θ = 30°, you have

u = (150 N) (cos(30°) i + sin(30°) j ) ≈ (129.904 i + 75 j ) N

v = (220 N) (cos(0°) i + sin(0°) j ) = (220 i ) N

(i and j are the unit vectors in the positive x and y directions)

and their sum is

u + v ≈ (349.904 i + 75 j ) N

with magnitude

||u + v|| ≈ √((349.904)² + (75)²) N ≈ 357.851 N ≈ 357.9 N

and at angle φ made with the positive x-axis such that

tan(φ) ≈ (75 N) / (349.904 N)   →   φ ≈ 12.098° ≈ 12.1°

(b) Letting θ vary from 0° to 180° would make v a function of θ :

u = (150 N) (cos(θ) i + sin(θ) j ) = (150 cos(θ) i + 150 sin(θ) j ) N

Then

u + v = ((220 + 150 cos(θ)) i + (150 sin(θ)) j ) N

→   M = ||u + v|| = √((220 + 150 cos(θ))² + (150 sin(θ))²) N

M = √(48,400 + 66,000 cos(θ) + 22,500 cos²(θ) + 22,500 sin²(θ)) N

M = 10 √(709 + 660 cos(θ)) N

(c) As a function of θ, u + v makes an angle α with the positive x-axis such that

tan(α) = (150 sin(θ) / (220 + 150 cos(θ))

→   α = tan⁻¹((15 sin(θ) / (22 + 15 cos(θ)))

(d) Filling in the table is just a matter of evaluating M and α for each of the given angles θ. For example, when θ = 0°,

M = 10 √(709 + 660 cos(0°)) N = 370 N

α = tan⁻¹((15 sin(0°) / (22 + 15 cos(0°))) =

When θ = 30°, you get the same result as in part (a).

When θ = 60°,

M = 10 √(709 + 660 cos(60°)) N ≈ 323.3 N

α = tan⁻¹((15 sin(60°) / (22 + 15 cos(60°))) = 23.8°

and so on.

divide 2x⁴-3x³+2x²-4x+5 by x-2​

Answers

Answer: 2

4

3

3

+

7

2

4

Step-by-step explanation:

Answer:  -17

Step-by-step explanation:

2*-2^4-3*-2^3+2*-2^2-4-2+5= ?

2*-16-3*-8+2*-4-4-2+5 = ?

-32+24-8-4-2+5

-8-12+3

-20+3

-17

:>

lots of points and brainliest PLEASE HELP ITS TIMED!! :(

Answers

Answer:

Scuba-4-All's initial cost is $55

Scuba palace's initial cost is $30

Step-by-step explanation:

Initial cost is the cost when at zero hours or 0 x value

What is the circumference of the circle? (use 3.14 for pi)

Answers

Your answer is 119.32 m

ayo can yall help me plzzz

Answers

Answer:

I think it's either Wednesday or Sunday.

Step-by-step explanation:

Answer: the answer is d Wednesday.

Step-by-step explanation:

hope this helped ya bro! have a good day! :)

An expression equivalent to (-11b+15)-3(-23b+17)?

Answers

Answer:

58b - 36

Step-by-step explanation:

-11b + 15 + 69b - 51

combine 'like terms' to get:

58b - 36

20 points help i dont get my brothes school work LOL

Answers

Answer:

1/12 a mile

Step-by-step explanation:

Answer:

B. 1/12 is the right answer because you have to times the fraction by the reciprocal because you can't divide a fraction. So, you do 1/3 *1/4 = 1/12

Step-by-step explanation:

have a good day/night

may i please have a branlliest

Given the following information, find the Mean Absolute Deviation (MAD). The table is provided for guidance. You still need to find the Absolute deviations and then find the mean of those numbers.

The weights of 15 kittens at a pet shelter are shown below in ounces:

{7,7,9,10,11,13,13,13,13,14,14,18,20,23,25} and the mean is 14oz.

Data Mean Absolute Deviation
7 14
7 14
9 14
10 14
11 14
13 14
13 14
13 14
13 14
14 14
14 14
18 14
20 14
23 14
25 14

Answers

Answer:

3.625

Step-by-step explanation:

ur welcome!

A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the following amounts of average daily practice will allow him to reach his goal? Check all that is true.

15minutes, 25minutes, 30minutes, 45minutes, 60minutes

Answers

Answer:

45 minutes

Step-by-step explanation:

this is an over-estimate and the reason is 200/5=40 the closest one is actually 45 minutes

kyra is 12 years old,and is twice as old as Aiden,who is 2 years younger than maya.how old is maya?​

Answers

Answer:

4

Step-by-step explanation:

12 ÷ 2 which is 6 then 6-2 which is 4

A cylinder with a radius of 4 cm and a height of 9 cm has the same volume as a cone with a radius of 3 cm. What is the height of the cone?

Answers

Answer:

D. 48 cm

Step-by-step explanation:

Cylinder Volume:

V=πr^2h

V≈452.39

Cone Volume:

V=πr^2(h/3)

452.39 = pi(3)^2(h/3)

452.39 = pi x 9 x (h/3)

452.39 = 28.26 x (h/3)

/28.26      /28.26

16.008138712 = (h/3)

x 3                      x 3

h = 48.0244161359

h = 48 cm

vertex and the y-intercept of the graph of the function .
y=-3(x+2)^2+5

Answers

Answer:

The vertex is (-2,5). And the y intercept of the graph is (0,-7)

Step-by-step explanation:

if the ratio of type O to non-type O donors at a blood drive was 37:43. how many would be type O out of 300 donors? will try and mark brainliest . please show the work as well

Answers

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 12
and AC = 15, what is the length of AB in simplest radical form?

Answers

Answer:

x = 6

Step-by-step explanation:

let 'x' = BD

x/3 = 12/x

x² = 36

x = [tex]\sqrt{36}[/tex]

x = 6

a bag has red, green and blue marbles. The probability of selecting a red marble is 1/3 and the probability of selecting a green marble is 2/5. Find the probability of selecting a blue marble

Answers

Answer:

I don't give answers sorry.

Step-by-step explanation:

What you would do is take 1 and subract the two probabilites from it. The equation should be [tex]1-\frac{1}{3} -\frac{2}{5}[/tex]. You can find a common denominator by making it both 15.

Find the value of x. plz helpp

Answers

Answer:

x=45°

Step-by-step explanation:

180-90=90

Hence, there is 2 x so 90/2=45

Answer:

x = 45°

Step-by-step explanation:

here's your solution

=> we know that sum of all angles of traingle = 180°

=> x° + x° + 90° = 180°

=> 2x + 90° = 180°

=> 2x = 180° - 90°

=> 2x = 90°

=> x = 90°/2

=> x = 45°

hope it helps

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.

Answers

Answer:

I think the second table.

Step-by-step explanation:

Because it is the correct one.

Answer:

C on edg.

Step-by-step explanation:

C.

plz help and yes i am lazy but helpppp

Answers

Girl get on Photomath
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