Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather, traffic conditions, and the employer's line of business. One week after its release, 6,040 copies of Slick Slack were downloaded. After 5 weeks, 13,090 copies had been downloaded. Let x represent the number of weeks since Slick Slack was released, and y represent the number of copies that had been downloaded. Use the marginal change and the fact that 1 week after its release 5840 copies of Slick Slack were downloaded to determine the y intercept in the equation y = a + bx.
a) (x,y) =____.
b) write the equation in the form y = a + bx for the number of copies downloaded x weeks after its release.

Answers

Answer 1

Answer:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (2,13090)[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex] --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (5,13090)[/tex]

Next, we calculate the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{13090 - 5840}{5 - 1}[/tex]

[tex]m = \frac{7250}{4}[/tex]

[tex]m = 1812.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1812.5(x - 1) + 5840[/tex]

[tex]y = 1812.5x - 1812.5 + 5840[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

To calculate the y intercept, substitute 0 for x

[tex]y_0 = 1812.5*0 + 4027.5[/tex]

[tex]y_0 = 0 + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex]


Related Questions

lol plss we did this literally a week ago and I forgot how to do it

Answers

Answer:

okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144

Step-by-step explanation:

A rectangular garden has an area of 63ft2. The length of the garden is 2 feet more than the width. Find the length and the width of the garden.

Answers

Answers:

L = 64

W= 62

Explanation:

Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3


B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2

Answers

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

How to find probability using binomial distribution?

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

                             

To know more about binomial distribution click on,

https://brainly.com/question/14565246

#SPJ2

Prove that a+b/2≥√ab

Answers

Start by squaring both sides got remove the sqrt
[(a+b)/2]^2 ≥ ab
(a^2 +2ab +b^2 )/4≥ ab
Multiply both sides by 4
a^2 +2ab +b^2 ≥ 4ab
Subtract 2ab from both sides
a^2 + b^2 ≥ 2ab
Subtract 2ab from both sides
a^2 - 2ab + b^2 ≥ 0
Use quadratic equation to solve where a = 1 and b = -2b
2b ± sqrt[(-2b)^2 - (4x1xb^2)]/(2x1)
2b ± sqrt[4b^2 - 4b^2]/2
(2b ± 0)/2
a = b
Substituting for b in the equation a^2 + b^2 ≥ 2ab
2a^2 ≥ 2a^2

How do I find the quotient 2/5 divide by 1/4
multiply 5 by 4
multiply 5 by 7
multiply by
multiply by 4

Answers

Answer:

A. [tex] \frac{2}{5} \times 4 [/tex]

Step-by-step explanation:

Given:

[tex] \frac{2}{5} \div \frac{1}{4} [/tex]

To find the quotient, we would multiply the first fraction (⅖) by the reciprocal of the second fraction (reciprocal of ¼ = 4).

This, we would have:

[tex] \frac{2}{5} \times 4 [/tex]

[tex] = \frac{8}{5} [/tex]

Answer:

A) multiply 2/5 by 4

Step-by-step explanation:

I think this is edge I literally just did this

pls give 5 star brainly and heart :)))

Plz can anyone help me with my homework

Answers

Answer:

GFIH

Step-by-step explanation:

You read coordinates X and then Y

(X,Y)

1. G

2. F

3. I

4. H

G A H F

i worked it out

What is the length of DE?
O 1 unit
O 3 units
O
4 units
4 units
o

Answers

Answer:

3 units :D

Step-by-step explanation:

Please help fast this is due pretty soon and I have to go somewhere any explanation or answer would be great

Answers

don’t click the link it’s a hack

Answer:

1.2

Step-by-step explanation:

all of mr harleys class equals 400 and Ms. samuets has 393

to find the mean you add all then divide by how much you added

to 400 divided by 6 is 66.66 and 393 divided by 6 is 65.5

and 66.66

     -65.50

       1.16 and 1.16 rounded to the nearest tenth is 1.2

                             CASE CLOSED

A circular tabletop is to be cut from a rectangular piece of wood that measures 1.20m by 1.80m what is the radius of the largest tabletop that could be cut?

Answers

Answer:

0.6 m

Step-by-step explanation:

From the question,

The largest table top that could be cut from a rectangular piece of wood,

will have a diameter equal to the smallest dimension of the rectangular piece of wood. As shown in the diagram attached.

 If it is cut along the biggest dimension of the rectangular piece of wood, the tabletop won't be circular, rather, it will form a sphere. So the only way the tabletop can be cut out of the rectangular piece of wood to make it circular is to cut it along the smaller dimension of the rectangular piece of wood.

Given, the dimensions of the rectangular piece of wood as 1.2 m by 1.8 m.

Then the diameter of the table top formed = 1.2 m.

but,

radius = diameter/2

radius = 1.2/2

radius = 0.6 m

Hence, the radius of the largest tabletop that could be cut out of the rectangular piece of wood is 0.6 m

PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)

Answers

All triangles angles in the inside add up to 180, so 180-76-72=32

Answer please. Tysm!

Answers

Answer:

6a5 + 5b

Step-by-step explanation:

At a carnival game, there is a 38% probability of winning a prize. What is the probability of not winning a prize?

A) 62%
B) 76%
C) 38%
D) 50%

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 62

62 plus 38= 100

A real estate agent working in a large city believes that, for three-bedroom houses, the selling price of the house decreases by approximately $2,000 for every mile increase in the distance of the house from the city center. To investigate the belief, the agent obtained a random sample of 20 three-bedroom houses that sold in the last year. The selling price, in thousands of dollars, and the distance from the city center, in miles, for each of the 20 houses are shown in the scatterplot. The table shows computer output from a regression analysis of the data.


a) Assume all conditions for inference are met. Construct and interpret a 95 percent confidence interval for the slope of the least-squares regression line.
b) Does the confidence interval contradict the agent’s belief about the relationship between the selling price and distance from the city center? Justify your answer.

Answers

Answer:

A) 146.6

B) yes it contradicts, the CI is less than 2000

Step-by-step explanation:

A) z-interval, Standard deviation 10, mean 2000, n 20, CI .95= 146.6

Mr. Y gets paid $8.70 per hour. Yesterday he worked 6.5 hours. What will be his pay, assuming that he gets paid for exactly the time that he works.

Answers

Answer:

$56.55

Step-by-step explanation:

8.70*6.5=56.55

The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only

Answers

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

[tex]60x=420[/tex]

[tex]x=\dfrac{420}{60}[/tex]

[tex]x=7[/tex]

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

Which number is a rational number?
36
16
6
6
36
6
16

Answers

Answer:

√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational

A company offers free shipping on orders that weigh less than 5000 grams. How much is this in kilograms?
Be sure to include the correct unit in your answer.

What’s the answer to this is

Answers

Answer:

5 kilograms

Step-by-step explanation:

1000 grams is equal to 1 Kilogram, so 5000 Grams is equal to 5 Kilograms

Draw a line through the origin with a slope of 3/2

Answers

Answer:

uhhhh

Step-by-step explanation:

Cole is 6 years older than Ryan. The sum of their ages is 84. How old is Cole

Answers

Answer:

It will be 78

Step-by-step explanation:

Because if you do 84 minus 6 you get 78

Help plakdjdhdjdbdgggggggggrhrhtj

Answers

Answer:

Expanded forms can be written like a sentence or stacked for readability

Step-by-step explanation:

Expanded Form:

5,000 + 300 + 20 + 5 = 5,325

(its like a sentence)

Answer: 5,000 + 300 + 20 + 5 = 5,325

Brainliest if you don't mind.

use the expression (8x + 2) + (-9x + 7)
a. find the sum
b. explain how you know when to combine terms with variables

Answers

combine like terms, you would get -1+9 which your answer would be 8

the volume of water in eight containers are 3.1, liters, 2.8 liters, 3.2 liters, 4.2 liters, 3.9 liters, 5.6 liters, 3.7 liters, and 4.5 liters find the median volume

Answers

Answer: 4.05

Step-by-step explanation: the two median numbers are 4.2 and 3.9 divided by 2 and that gave me 4.05

70+95 Factor the expression using the GCF

giving brainly

Answers

Answer:

70 + 95 = 5(14 + 19)

70 + 95 = 5(14 + 19)

gcf = 5

Step-by-step explanation:

70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165                                                                                                 Hope this helps! Please give me brainly!                                                                                                                                                                                                                

I need help. 18 = a/2

Answers

[tex]a = 36[/tex] ✔

Step-by-step explanation:

[tex]18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

What is 4 x 1/3 I don’t understand because I was using an old method to do this and it isn’t working plz help

Answers

It’s 1 1/3 or 4/3 you simply multiply 4/1*1/3 and multiply 4*1 as the numerator and multiply 1 and 3 as the denominator to get an answer of 4/3

Answer:

4/3 hope this helps

help help help help help

Answers

Answer:

The maximum value is (2,9) I can't really see the question well btw

The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.

984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004

Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014

Answers

Answer:

Kindly check attached picture ;

(999.494 ; 1046.056) ;

(1003.235 ; 1042.315)

Step-by-step explanation:

Given the data:

888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260

Using calculator to obtain the mean and standard deviation :

Mean, x = 1022.775

Standard deviation, s = 75.124

Sample size, n = 40

Zcritical at 95% = 1.96

Zcritical at 90% = 1.645

Using the relation :

x ± E

E = error margin = Zcritical * s / sqrt(n)

At 95% ;

Error margin = 1.96 * 75.124/ sqrt(40) = 23.281

At 90% ;

Error margin = 1.645 * 75.124/ sqrt(40) = 19.540

Confidence interval at 95%:

(1022.775 - 23.281) ;(1022.775 + 23.281)

(999.494 ; 1046.056)

Confidence interval at 90%:

(1022.775 - 19.540) ;(1022.775 + 19.540)

(1003.235 ; 1042.315)

Given: c=58, b=15, angle B=15 degrees a= ?

a. 60
b. 52
c. 56

Answers

Answer:

c. 56

Step-by-step explanation:

To Find a= it would be opposite of angle A.

We could use trig ratios for this question.

Cos B= a/c

Cos 15= a/58

a = (cos15)(58)

a=56

help pls/////////////////

Answers

Answer:

It might be past the time, but I think the second one.

Step-by-step explanation:

plz answer the question below

Answers

Answer: i dont know about "Polygon" but if you need the area of the shape above, I would say its a "Parallelogram", then the area would be 36

Step-by-step explanation: A = B.H -> 9 x 4 = 36

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