Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In , the Amazon Alexa app was downloaded some 2800 times per day from the Google Play store (AppBrain website). Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2800 and standard deviation of 860. What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)? Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?

Answers

Answer 1

Step-by-step explanation:

What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)?

First, find the z-score.

z = (x − μ) / σ

z = (2000 − 2800) / 860

z = -0.930

Use a chart or calculator to find the probability.

P(Z < -0.930) = 0.1761

What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)?

Find both z-scores.

z = (x − μ) / σ

z₁ = (1500 − 2800) / 860

z₁ = -1.512

z₂ = (2500 − 2800) / 860

z₂ = -0.349

Use a chart or calculator to find the probability.

P(-1.512 < Z < -0.349) = P(Z < -0.349) − P(Z < -1.512)

P(-1.512 < Z < -0.349) = 0.3636 − 0.0653

P(-1.512 < Z < -0.349) = 0.2983

What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)?

Find the z-score.

z = (x − μ) / σ

z = (3000 − 2800) / 860

z = 0.233

Use a chart or calculator to find the probability.

P(Z > 0.233) = 1 − P(Z < 0.233)

P(Z > 0.233) = 1 − 0.5919

P(Z > 0.233) = 0.4081

Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?

Use a chart or calculator to find the z-score given the probability.

P(Z > z) = 0.01

P(Z < z) = 0.99

z = 2.3263

Now find the corresponding number for that z-score.

z = (x − μ) / σ

2.3263 = (x − 2800) / 860

x = 4801

Answer 2

Using the binomial probability principle, the probability values for the number of downloads are :

P(X ≤ 2000) = 0.1762

P(1500 ≤ X ≤ 2500) = 0.2981

P(X > 3000) = 0.4081

Maximum number of downloads = 4800

Given the Parameters :

Mean, μ = 2800

Standard deviation, σ = 860

The Zscore formula ::

Zscore = (X - μ) / σ

1.) Probability of 2000 or fewer downloads :

P(X ≤ 2000) = P(Z ≤ (2000 - 2800)/860)) = -0.930

Using a normal distribution table :

P(Z ≤ - 0.930) = 0.1762

2.) Probability of between 1500 and 2000 downloads :

P(1500 ≤ X ≤ 2500) = P(Z ≤ (2500 - 2800)/860) - P(Z ≤ (1500 - 2800)/860)

P(1500 ≤ X ≤ 2500) = P(Z ≤ - 0.349) - P(Z ≤ - 1.511)

P(1500 ≤ X ≤ 2500) = 0.3635 - 0.0654

P(1500 ≤ X ≤ 2500) = 0.2981

3.) Probability of more than 3000 downloads :

P(X > 3000) = P(Z > (3000 - 2800) / 860)) = 0.2325

P(Z > 0.2325) = 1 - P(Z < 0.2325)

Using a normal distribution table :

P(Z > 0.2325) = 1 - 0.5919 = 0.4081

4.) Number of downloads given a probability of 0.01

P(X > 0.01) ;

Using a normal distribution table :

The Z score corresponding to P(Z > 0.01) is 2.326

Using the Zscore formula to calculate the number of downloads, X ;

Zscore = (X - μ) / σ

2.326 = (X - 2800) / 860

2.326 × 860 = X - 2800

2000.36 = X - 2800

X = 2000.36 + 2800

X = 4800.36

Therefore, maximum daily download system is designed to handle 4800.

Learn more : https://brainly.com/question/12474772?


Related Questions

3cm
3cm
8cm
13cm
in the diagram above, the curved part is a Semi-
Circle. Find the area of the shaded portion
and correct your answer to 3 significant
figure. ​

Answers

Answer:

can u attach the diagram

Step-by-step explanation:

The expression 7(y-5)is equivalent to

Answers

7(y-5) = 7y-35

because 7(y) = 7y

and 7(-5) = -35

therefore 7y-35 is your answer

Which graph indicates decreasing speed?
A. Graph c
B Graph A
c graph F
d graph

Answers

I think that it would be option A. Graph C. It shows the line going down from the y-axis to the x-axis, so it would be graph C.

1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?

Answers

Answer:

82

Step-by-step explanation:

b) Solve x + 5x – 14 = 0

Answers

5x+x=14
14/6= 2.3
x=2.3

Answer:

2 1/3

Step-by-step explanation:

Step 1:

x + 5x - 14 = 0      Equation

Step 2:

6x - 14 = 0      Combine Like Terms

Step 3:

6x = 14      Add 14 on both sides

Step 4:

x = 14 ÷ 6        Divide

Answer:

x =  2 1/3

Hope This Helps :)

There is 3 questions help asap

Answers

The answer is A. C. D.

find the square root of 625​

Answers

25 could I have brainliest plz !

Step-by-step explanation:

square root of 625 is 25

Matt and his dad are building a tree house. They buy enough flooring material to cover an area of 36 square feet. What are all possible dimensions of the floor?

Answers

Answer:

a square

Step-by-step explanation:

because the width would be 6 and the length would be also 6 .6x6 is 36

If an orthocenter lies inside of a triangle, then the triangle must be O isosceles. O acute. obtuse. o right​

Answers

If an orthocenter lies inside of a triangle, then the triangle must be acute.

Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle. The third altitude usually pass through the point of the first two altitudes.

When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.An acute triangle is a type of triangle whose angles are less than 90 degrees.

Thus, If an orthocenter lies inside of a triangle, then the triangle must be acute.

Learn more about orthocenter here: https://brainly.com/question/6944944

Answer:D ( acute)

Step-by-step explanation:

edg

Noah is finding 3/4 of 8 find his mistake and correct it

Answers

you need to show his steps or else i cant find his mistake

Um 3/4 aka 75% of 8 is 6

A deep sea diver descended from a rock that is 45 feet below

Answers

Diver descended 43 feet from the rock to the coral reef.
A deep sea diver descended from a rock that is 45 feet below sea level to a coral reef that is 88 feet below sea level.
To find : How far did the diver descend from the rock to the coral reef.
Solution : We have given
A deep sea diver descended below sea level = -45 feet .
A coral reef that is 88 feet below sea level = -88 feet.
Because we take the negative value below sea level( 0 ).
Difference = -45 - ( - 88)
Difference = -45 + 88 = 43
Diver descended 43 feet from the rock to the coral reef.
Therefore, Diver descended 43 feet from the rock to the coral reef.
If that is your question...

In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.

Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.

Given:critical value= = 2.00

Answers

Answer:

The decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  54

    The sample mean is  [tex]\= x  =  97.4[/tex]

    The standard deviation is  [tex]s = 18.0[/tex]

     The population mean is  [tex]\mu  =  100[/tex]

     The critical value  is  [tex]t_{critical } =  2.0[/tex]

Generally the test statistics is mathematically represented as  

       [tex]t =  \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{ 97.4  - 100}{\frac{ 18}{\sqrt{54} } }[/tex]

=>    [tex]t =-1.062[/tex]

Comparing the obtained t statistics with the critical value we see that

   The  critical value is not within the region of rejection (i.e -1.062 to 1.062  )

Hence the decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Salena needs to purchase 9 skirts for a new job. her friend, Jamie goes with her each of the skirts costs $41. Salena says that she can find the total cost by multiplying 9 and 4 and adding that to product of 9 and 1. Jamie disagrees and says that she needs to find the product of 9 and 40 and add that to the product of 9 and 1. Who is correct and why?

Answers

Answer:

Jamie is correct. This is because 41 is a combination of 40 and 1. Salena thinks that the 4 is just a 4, however, the 4 is in the tens place, so the 41 without the 1 is 40. The answer to this 41 times 9 is 369. Not 45.

Step-by-step explanation:

Each skirt is $41

Salena needs 9

(9*40) + (9*1)

360   +   9

    $369

What is this variable? 3/4a — 6 = 4+3a

Answers

The answer is
a= -40/9

John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.50. They spend a total of $19.90. Find the cost of one large drink.

Answers

13.00 + 4X - 6.00 = 13.20

Combine the 13.00 - 6.00, getting 7.00

7.00 + 4X = 13.20

Subtract 7.00 from both sides:

7.00 + 4X = 13.20
-7.00 -7.00
------------------
4X = 6.00

Divide both sides by 4



X = $1.50

What are all the factors of 54? O 1,2, 6, 9, 26, 54 O 1,2, 6, 9, 27, 54 O 1, 2, 3, 6, 9, 18, 26, 54 O1,2, 3, 6, 9, 18, 27, 54.











┈┈┈┈▕▔╱▔▔▔━▁┈┈┈┈
┈┈┈▕▔╱╱╱┈╲▂▔▔╲┈
┈┈▕▔╱╱╱╱▂▂▂▂▂▂▏
┈▕▔╱▕▕╱╱╱┈▽▽▽▽▽┈
▕▔╱┊┈╲╲╲╲▂△△△△┈┈
▔╱┊┈╱▕╲▂▂▂▂▂▂╱┈┈
╱┊┈╱┉▕┉┋╲┈​

Answers

Answer:

1 2 3 6 9 18 27 and 54 I hoped this helps

Answer:

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

Simplify the problem 4{28-[10+(3+1)×2]}

Answers

Answer:

= 40

Step-by-step explanation:

Calculate within the parentheses:

28 - [10 + (3 + 1) * 2]

= 10

Calculate within the parentheses:

[10 + (3 + 1) * 2]

= 18

Subtract (Left to right):

= 28 - 18

Simplify:

= 4 * 10

Simpliy:

= 40

i got 40

it’s a little less complicated that you think i’m not sure if this was the answer but i did it as i could remember.

determine the range of the following graph:

Answers

Answer:

(-15)

Step-by-step explanation:

(-7) - 8 = (-15) (Range is the difference between Max and Min Value)

please follow me and mark as brainliest

Write two numbers that when rounded to the greatest place value have an estimated sum of 11,000 and an estimated difference of 3,000. Then find the exact sum and the exact difference. Provide a detailed explanation as to how you reached your answers and why they will work.​

Answers

Answer:

x + y = 10,999.5 (rounded up to 11000)

x - y =  3,000.3 (this would be rounded down to 3000)

Step-by-step explanation:

Assume;

Two numbers are x, y

So,

x + y = 11,000 .......eq1

x - y = 3,000 .........eq2

eq1 + eq2

So,

2x =14,000

x = 7,000

So y = 4,000

For rounding number

x = 6,999.9 (rounded up to 7,000)

y = 3,999.6 (rounded up to 4,000)

Sum;

x + y = 10999.5 (rounded up to 11000)

x - y =  3000.3 (this would be rounded down to 3000)

The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.

Answers

Answer:

12 girls

Step-by-step explanation:

boys   girls

     2:3

8 ÷ 2 = 4

4 × 3 = 12

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Plz help Plz help
Ella played a math game and had the five cards shown.
7 0 -4 -10

Her score was the sum of the numbers on these five cards. What was Ella’s score?
3


23

−5


Not here

Answers

Answer:

-7 (Not here)

Step-by-step explanation:

1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14

2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"

Which graph represent proportional relationship?

Answers

Answer:

C

Step-by-step explanation:

Non proportional graphs are non-linear and don’t go (necessarily) through 0,0

Proportional graphs are linear and always (eventually) cross through with 0,0

I think the answer would be c:)

Unit rate
Find each unit rate.
1. $140 for 18 ft2

Answers

Answer:

$17.50

Step-by-step explanation:

140 divided by 18 equals 17.50, the unit rate is dollars per foot.

Answer:

$7.78 : 1 ft²

Step-by-step explanation:

140 : 18

÷18  ÷18

7 7/9 : 1

    or

$7.78 : 1 ft²

A number plus it’s opposite is ___ zero. always,sometimes,never

Answers

Answer:

always

Step-by-step explanation:

Consider the function f(x) = 3.x2 + 7x + 2.
what is the value of the discriminat?

Answers

Answer:

The Discriminant is 25

Step-by-step explanation:

For this case, the discriminant will be given by

b ^ 2 - 4 * a * c

Where

b = 7

a = 3

c = 2

substituting

b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25

Therefore the value of the discriminant is 25.

How many x-intercepts does this function have?

It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,

3x2 + 7x + 2 = 0

The results will be the interceptions with x.

What are the number of zeros for this function?

The number of zeros for this function is

two real number solutions

Because it is a quadratic function.

Write an equation of the line passing through the point (8,-5) that is parallel to the line 2x – 6y=-3.
y = mx + b

Answers

Answer:

y=[tex]\frac{1}{3}\\[/tex]x - [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

Ist put the first equation in y=mx+b form

2x-6y=-3

subtract 2x on both sides

2x-6y=-3

-2x    =-2x

-6y=-2x-3

then divide both sides by -6

-6y=-2x-3

-6

that gives y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex] for the original equation

Then plug in the point and slope in y=mx+b

Use the same slope since the lines are parallel

(-5)=([tex]\frac{1}{3}[/tex])(8)+b

-5=[tex]\frac{8}{3}[/tex]+b

then subtract 8/3 on both sides and that gives

-23/3 = b

then you can make the new equation using -23/3 for you b and 1/3 for your slop m

57. Designing a Patio Suppose that you wish to build a
rectangular cement patio that is to have a perimeter
of 80 feet. The length is to be 5 feet more than the
width.
(a) Find the dimensions of the patio.
(b) If the building code requires that the cement be
4 inches deep, how much cement do you have to
purchase?

Answers

Answer:

A. dimensions

Step-by-step explanation:

it's the first thing you will need to find out I beleave.

-A................................

Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?

Answers

133 + 130 + 131 + 136 / 4 = 132.5
133 + 130 + 131 + 136 + 170 / 5 = 140

!!!!Please help!!!!Choose the answer that best represents the situation described below
Casey is taking pictures outdoors. She knows that the darker it is outside, the
stronger she needs to set her flash,
A. The amount of light outside is a function of the strength of flash
she needs
B. The strength of flash needed is a functlyn of the shutter speed of
her camera
C. The strength of flash needed is a function of the amount of light
outside,
SUBMIT

Answers

It is a ..............

Bro someone please help- i hate math -_-

Answers

Answer:

I can't see the image can you re upload

Step-by-step explanation:

Answer:Well I think the answer is 1/2 for the top because with mixed fractions the denominator has to be bigger then the numerator....And the bottom one is 2 because you put the bottom number on top. Hope it's right and it helps.

Step-by-step explanation:

Other Questions
.Which best states the principle of limited government established by the Constitution?Government can do only what the courts give it authority to do.Government can do only what the people give it authority to do.Government can do only what the president gives it authority to do.Government can do only what Congress gives it authority to do which fat has only single bonds between the carbon atom in the fatty acid The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server? Which answer best expresses the effects of Parliament passing the Coercive (Intolerable) Acts of 1774, closing the port of Boston?A-The first shots of the American Revolution are fired and war between the colonies and Britain begins.B-The Sons of Liberty protest by dumping tea into Boston Harbor, which becomes known as the Boston Tea Party.C-Samuel Adams and the Sons of Liberty call this the Boston Massacre to gain colonial support against the British.D-Delegates meet at the First Continental Congress and demand that Britain repeal the acts, but Britain refuses. On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles? The photo shows a single-celled organism.Which sentence best describes what this organism will look like at the end ofits growth period?A. The same single cell, but largerB. Two cells, but half the sizeC. A small ball of identical cellsD. Three individual cells in a row Jordan doesn't know how to graph y > 2x + 1 . Can you explain to him using the words below how to do it? Vocabulary to use:slope, y-intercept, shade above/below, and dotted/solid line Solve for b : 1/2b+G=D What is the perimeter, in units, of polygon EFGHJK? Discuss two accounting principles that are, inyour opinion, the most important and form thefoundation of modern-day accounting. Explainthe reasons for your choices. how many moles of h2 can be made from the complete reaction of 3.5 moles of al?Given: 2Al+6HCL 2Alcl3+3h2 What was a benefit of uniting Upper and Lower Egypt?O The economy began to grow.The capital remained the same.O Astrong military was no longer needed.O The government became less powerful. Which is a way that the model of the atom became stronger through new experiments? (1 point) aNew technology allowed scientists to show that the atom is indivisible. bIt took new data to show that positive charge is not spread throughout an atom. cBy deflecting alpha particles, Rutherford first observed the neutron. dThe neutron could not be detected until CathodeRay Tubes were invented. PLEASE HELP ME!I would really appreciate it. Need Help ASAP Will give brainliest)A diary-like novel tells the story of 13-year-old Clara, who is travelingWest with her family in a covered wagon. She records her curiousobservations as well as her fears and hardships as they cross rivers,climb mountain ranges, and encounter unfamiliar people. AlthoughClara misses her life back in Boston, she is optimistic about herfamily's future as cattle ranchers.In part of the story, Clara has fun learning to pan for gold in the ColoradoRiver. Which statement best explains how this plot event develops the themethat a good attitude can help you get through many challenges? A. It shows that the hope of getting rich quick can create a sense ofexcitement and wonder.B. It shows that parents who expose their children to dangeroussituations are irresponsible.C. It shows that there can be good times even within scaryexperiences, if you are open to them.D. It shows that children are nave and do not necessarily understandthe true nature of their experiences. Atoms with a different number of protons than electrons are called: sid has 5 to buy apples and bananas how can magnetic potential energy be transferred to kinetic energy BEST ANSWER GETS BRAINLIEST 5 STARS THX and FOLLOWWhich sentence correctly explains the process and conditions needed for hail to form? (worth 30 points)Group of answer choicesA. The temperature of the air and the temperature of the cloud must be below zero.B. Liquid water requires temperatures above 0 C in order to remain in a liquid state.C. A form of precipitation requires melting and refreezing as they fall towards the ground.D. Ice chunks move around inside a cloud, bouncing into water droplets and growing as they fall. 14. Quincy delivered 240newspapers yesterday and 180newspapers today.