Tina just opened a new restaurant. She earned $550 on
the first dayand $750 on the third day that she was open
for business. If Samantha's earnings continue to increase
at the same rate, by how much will she earn on the 7th
day? $
SHOW YOUR WORK.
HINT: Find the equation of the line in the Slope Intercept
form and set x = 7.
1) Find the slope.
2) Use the point slope method to get the equation of the line.
Write the equation in Slope Intercept form.
3) Substitute 7 for x to get the answer.
Answer:
Samantha will earn $1,150 on the 7th day.
Step-by-step explanation:
Linear Modeling
It consists of finding the equation of a line that represents the data provided in a specific situation.
Tina's (or Samantha's) earnings are $550, x, $750,... where x is an unknown amount for the second day of her new restaurant.
The earnings continue to increase at the same rate until the 7th day. We must find the earnings for that last day.
The linear model can be found in several ways. We'll use the slope-point form of the line, finding first the slope and then the y-intercept.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
1) Find the slope
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1,550) and (3,750), thus:
[tex]\displaystyle m=\frac{750-550}{3-1}=100[/tex]
2) Get the equation of the line
Substituting into the equation of the line, we get:
y=100x+b
Select the point (1,550), substitute into the above equation, and solve for b:
550=100(1)+b
Solving:
b=450
Thus we complete the equation of the linear model:
y=100x+450
3) Substitute 7 for x
y=100(7)+450
y=1,150
Samantha will earn $1,150 on the 7th day.
in 1900 in the United States there were 40 death from diphtheria for every 100,000 people. How many diphtheria deaths would be expected in 1900 in a town of 40,000?
A fair coin is continually flipped until heads appears for the 10th time. Let X denote the number of tails that occur. Compute the probability mass function and the expected value of X.
Answer:
P (X = i) = (i + 9 _ 9) (1/2)^(i + 10)
Step-by-step explanation:
Range of X = {0, 1, 2, 3......10}
P (X = i) = P (NB (10, ½) i = 10)
P (X = i) = (i + 9 _ 9) (1/2)^10 (1/2)^(1+10-10)
P (X = i) = (i + 9 _ 9) (1/2)^10 (1/2)^1
P (X = i) = (i + 9 _ 9) (1/2)^(i + 10)
what is the probability of rolling an odd number on a fair number cube with sides numbered 1 through 6
Answer:
The probability of rolling an odd number is 3/6 which is basically 1/2
Answer:
The probability of rolling an odd number is 1/2 or 1:2 or 3:6.
Step-by-step explanation:
There ar a total of 6 numbers and 3 odd numbers.
What is the zeroth term? 5, 15, 45, 135, ...
Answer:
i took quiz and it was 45
Step-by-step explanation: also can you mark brainliest
Solve the formula
h = 54t + at for a
Answer:
a = [tex]\frac{h - 54t}{t}[/tex]
I hope this helps!
It took Isabel 9 hours to complete 2 paintings. At this same rate, how much time, in hours, will it
take Isabel to complete 3 paintings?
hous
Answer:
13.5 hours
Step-by-step explanation:
9hrs= 2 painting
9 divided by 2= 4.5
9+4.5= 13.5
Given the two points, write the equation in slope-intercept form. (1,4) (2,7)
Answer:(_＼ヽ
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> ⌒ヽ
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/ / ＼＼
ﾚ ノ ヽ_つ
/ /
/ /|
( (ヽ
| |、＼
| 丿 ＼ ⌒)
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`ノ ) Lﾉ
(_／
Step-by-step explanation: I like cats!
Answer:
y = 3x + 1
Step-by-step explanation:
Which expression is equivalent to this expression? 4a + (-6b) – 3a + 2b
A. a + 4b
В.a – 4b
C. 7a - 8b
D. 7a - 4b
Answer:
B
Step-by-step explanation:
Pick the ordered pair(s) that are a solution to y>2x1
ANSWER CHOICES:
4,0
-1,-5
-2,-1
2,1
0,4
Answer:
2,1
Step-by-step explanation:
1. Write the equation of the line parallel to y = x + 5 that passes through the point (6,-1).
Answer:
y=x -1
Step-by-step explanation:
parallel means the slope stays the same but the intercept changes accordingly
alsooo pls mark brainly ❤
Describes the end behavior of the function y=8-x^3-2x^4
Answer: Use the degree and the leading coefficient to determine the behavior.
Falls to the left and falls to the right
Step-by-step explanation:
the rational number -28 is equal to?
100 + 100=300 u know why u add 100 to 200
Answer:
pog champ
Step-by-step explanation:
Answer:
to make it 21
Step-by-step explanation:
PLEASE HELP !!!
A square is being constructed inside of a circle with a center of O. Point M will serve as one of the vertices of the square
Determine whether the methods listed below will help to find any of the other three vertices. Select Helps to Find the Vertices or Does Not Help to Find the Vertices for each method.
Helps to Find the Vertices Does Not Help to Find the Vertices
Set the compass to the length of the circle's radius. With the point of the compass set at M, strike two marks that intersect the circle
Draw a ine through that intersects the circle
Construct a perpendicular line through line that intersects the circle in two spots
0002
DO
Answer: yes
No
Yes
Step-by-step explanation:
pls pls pls help me
6 X 9 =
6 X (5 + 4)
6 X 9 = (6 X 5) + (6 X 4)
6 X 9 =
6 X 9 =
54
Answer:
54
Step-by-step explanation:
9(6)=54
6(9)=54
54=(30)+(24) 54=54 so it is true
9x6=54
Find the slope of the line that passes through (3, 12) and (6, 18)
A package weighs 80 ounces. What is the weight of the package in pounds?
Answer:
5
Step-by-step explanation:
1 ounce = 0.0625
0.0625 x 80 = 5
g(x) = x + 4
f(x)= x + 3
Find (g•f)(x)
Answer:
g[f(x)] = x + 7
Step-by-step explanation:
g[f(x)] = ( x + 3) +4
= x + 7
What is 9 devided by 4,590
Answer:
1/510
Step-by-step explanation:
Answer:
9 divided by 4,590= 0.00196078431
Step-by-step explanation:
its best to use the calculator after solving any equation.
A town has a population of 17000 and grows at 3% every year. What will be the population after 10 years, to the nearest whole number?
Answer:
22847
Step-by-step explanation:
17000(1.03^x)=f(x)
f(x)=22847
Sovle the question l-9l + l-1l
the answer is 10 lol
Answer:
10
Step-by-step explanation:
The absolute value of -9 is 9
The absolute value of -1 is
9+1=10
In april, mr. Anderson's students read 20 books in may, they read 14 books what is the percent increase or decrease in the number of books they read A.30% increase B.15%decrease C.30%decrease or D.20%decrease can I get the answer in 3secs cause that's all I have rn
Answer:
D 20%
try it its easy bro
find the slope of the line that passes through (10,7) and (8,17)
-5 because there are 5 points in between those points if it were to be on a graph.
Can someone please help, ty!!
(Will mark brainliest)
Answer:
Class 1 would have the largest range
Step-by-step explanation:
You should mark me brainliest!
Solve for x. x/2≥−4 PLEASE HELP
Answer:
x is greater than or equal to -8
Step-by-step explanation:
multiply by 2 to get the x alone, and you have your answer.
literal equation
Solve for W.
A distribution of values is normal with a mean of 114.5 and a standard deviation of 23.
Find P47, which is the score separating the bottom 47% from the top 53%.
P47 =
Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
The score separating the bottom 47% from the top 53% is 112.8
Step-by-step explanation:
Let X denote the random variable whose values are normal with a mean of 114.5 and a standard deviation of 23.
Compute the 47th percentile as follows:
[tex]P(X<x)=0.47\\\\P(\frac{X-\mu}{\sigma}<\frac{x-114.5}{23})=0.47\\\\P(Z<z)=0.47[/tex]
The corresponding z-value is,
z = -0.075
*Use the z-table.
Compute the value of x as follows:
[tex]\frac{x-114.5}{23}=-0.075\\\\x=114.5-(0.075\times 23)\\\\x=112.775\\\\x\approx 112.8[/tex]
Thus, the score separating the bottom 47% from the top 53% is 112.8
When a number cannot be divided evenly, the amount left over is called the
Answer:
The remainder.
Step-by-step explanation:
I hope this helps.
