The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph?
Answers
Answer:
The constant of proportionality is 3/4
Step-by-step explanation:
Here, we want to write the constant of proportionality in the given graph .
To find the constant of proportionality, we need to find the slope of the line.
We can get the slope by using two of the points on the line.
Mathematically, slope of a line m is;
m = (y2-y1)/(x2-x1)
Let (x1,y1) = (120,90) and (x2,y2) = (400,300)
slope will be ( 300-90)/(400-120) = 210/280 = 3/4
Related Questions
The following scores were obtained by 11 footballers in a goal-competition 536878311632. The median score was?
Answers
Answer:
3
Step-by-step:
1,1,2.2.3.3.3.5.6.6.7.8.8
more 3s than other numbers
median is 3
f(x) = x2+9
g(x) = X-9
Find f(x)*g(x).
Answers
Answer:
f(x)g(x) = x³ - 9x² + 9x - 81
General Formulas and Concepts:
Distributions - Expanding with FOIL (First, Outside, Inside, Last)
Step-by-step explanation:
Step 1: Define
f(x) = x² + 9
g(x) = x - 9
Find f(x) · g(x)
Step 2: Find
Set up expression: f(x)g(x) = (x² + 9)(x - 9)Expand (FOIL): f(x)g(x) = x³ - 9x² + 9x - 81
Identify the slope and y-intercept from the following equation.
Answers
Answer:
The slope is 2/5 and the y intercept is -4
Step-by-step explanation:
The slope is always the coefficient to x
Answer:
slope = [tex]\frac{2}{5}[/tex] , y- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{2}{5}[/tex] and y- intercept c = - 4
Help me please.......
Answers
Answer:
90 . this can be easily answered as all the angle of points are given in question
Step-by-step explanation:
90 degree angle
Write the equation in standard form.
5−3(x−2y)=1−5x
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Answer:
2x+6y=-4
Step-by-step explanation:
8 + z = 19. step equations
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Answer:
11
Step-by-step explanation:
First subtract
19-8= Z
So solution would be
Z=11
Answer:
z=11
Step-by-step explanation:
step 1:simplify both sides of the equation
z+8=19
step 2:subtract 8 from each side
z+8-8=19-8
Four students decide to flip a coin a number of times and record their results. Dan flips his coin 5 times, Kelly flips her coin 25 times, Amando flips his coin 50 times, and Judah flips his coin 100 times. Whose results will most likely approach the theoretical probability?
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Answer:
Judah
Step-by-step explanation:
Because the more times you do the same thing over and over again then average it the more accurate it becomes
ONE EASY FRESHMEN MATH QUESTION!!
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1.05<√5<3.05
At a fast food restaurant, customers are asked if they want to “round up” their bill to the next highest dollar and donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally likely to “round up” regardless of the amount of their bill. The density curve below models Y, the donation amount. (a) What is the shape of the distribution of donations? (b) What proportion of donations are at least 85 cents? (c) What percent of donations are between 30 and 40 cents?
Answers
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:
[tex]P(X\geq 85)=\int\limits^{99}_{85} {\frac{1}{99-0} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\[/tex]
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:
[tex]P(30\leq X\leq 40)=\int\limits^{40}_{30} {\frac{1}{99-0}} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010[/tex]
Thus, the probability of donations between 30 and 40 cents is 0.1010.
The annual profit at a chain of stores is normally distributed with a mean of $61,000 and a standard
deviation of $23,000. The stores in the top 5% of annual profit were rewarded with a celebration. What
was the annual profit required to have a party?
Answers
Answer: $98,835.
Step-by-step explanation:
Given: Annual profit at a chain of stores is normally distributed with a mean ([tex]\mu[/tex]) of $61,000 and a standard deviation([tex]\sigma[/tex]) of $23,000.
Let [tex]x[/tex] denoted the profit.
Let [tex]x_0[/tex] be the minimum profit required to have a party.
The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.
i.e. [tex]P(x>x_0)=0.05[/tex]
[tex]\Rightarrow\ P(\dfrac{x-\mu}{\sigma}>\dfrac{x_0-61000}{23000})=0.05\\\\\Rightarrow\ P(z>\dfrac{x_0-61000}{23000})=0.05\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\\Rightarrow\ \dfrac{x_0-61000}{23000}=1.645\ \ [\text{critical z-value for p-value 0.05=1.645}]\\\\\Rightarrow\ x_0-61000 =1.645\times 23000\\\\\Rightarrow\ x_0-61000 =37835\\\\\Rightarrow\ x_0=37835+61000\\\\\Rightarrow\ x_0=98835[/tex]
Hence, the annual profit required to have a party was $98,835.
Plz help ASAP and good explanation thank you
Answers
5^2 = 25
48/6 = 7
7 + 25 = 32
Answer 32
A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. A) If a market test result comes back negative, what is the probability that the product will be successfully launched?
Answers
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
S = a product is successfully launched
P = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:
[tex]P(P)=P(P|S)P(S)+P(P|S')P(S')[/tex]
[tex]=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60[/tex]
The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:
[tex]P(S|P')=\frac{P(P'|S)P(S)}{P(P')}[/tex]
[tex]=\frac{0.20\times 0.60}{0.40}\\\\=0.30[/tex]
Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
jennas dogs used 9 chew toys last year. The animal shelter used 2,277 chew toys. How many times as many chew toys did the animal shelter use?
Answers
2,277 divided by 9=253
hope this helps
Answer:
253 is the answer
Step-by-step explanation:
Divide 2,277 and 9.
Emma and Murphy are friends. Murphy's age is six less than twice Emma's age.
a. Write an algebraic expression to represent Murphy's age.
b. If Murphy is 60 years old, how old is Emma?
Answers
Answer:
X=60+6×2
Step-by-step explanation:
Sorry im not great at math but i think that this would be the answer because Murphy is 6 years younger than Emma. It then says TWICE so i assume it means multiply by two. 6×2= 12 so Emma is 12 years older.
List from least to greatest
Answers
Answer:
The answer is C
.......
Ella purchased a 6-pack of cola for $3.84. What is the cost of 1 can of cola?
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Answer:
$0.64
Step-by-step explanation:
6 cans of soda = $3.84
3.84 / 6 = 0.64
1 can of soda = $0.64
Answer:
$0.64
Step-by-step explanation:
Three consecutive odd integers sum to 15. What are the integers?
Answers
The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers
Answers
Answer:
$237.61Step-by-step explanation:
given that the function to predict the price is
y = 5.92x + 119.21
x= the number of year,
given that we are predicting from 1995-2015
the difference is 20years
So put x=20 in the expression we have
y = 5.92(20) + 119.21
y=118.4+119.21
y=237.61
the median price is $237.61
In the Mars Cars video game, players gain and lose points by avoiding or hitting obstacles on a martian race track. First, Gary gained 20 points by jumping over a crater. Then, he lost 45 points for getting stuck in a dust storm
Answers
Answer:
-25
Step-by-step explanation:
20 - 45= -25
Answer:
-25
Step-by-step explanation:
Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have(A $411,234) (B $425,352) (C $449,739) saved in 30 years. Her account balance is a result of Jenna’s(A annuity payments)(B lump-sum payment) .
Answers
Answer:
The answer is $43623.50Step-by-step explanation:
This problem is on compound interest.
the expression for compound interest is given as
A=P(1+r)^t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Given data
P= $2,500
r= 10/100= 0.1
t= 30 years
substituting into the expression for compound interest and solving for A we have
A=2500(1+0.1)^30
A=2500(1.1)^30
A=2500*17.449
A=$43623.50
The final amount is $43623.50
Her account balance is a result of Jenna’s(A annuity payments)
Answer:
b then a
Step-by-step explanation:
neutron style
a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT
Answers
Answer:
angle a = 53.13 degrees and OT = 5cm
Step-by-step explanation:
Tan A = 4/3
A = 53.13
Which set of ordered pairs could represent a function?
o (2, 3), (2, 2), (2, 4), (2, 9), (2,-2)
O (1,5), (2, 6), (1, 6), (4, 5), (1, 4)
O (1, 0), (2, 0), (1, 3), (4,3), (5, 7)
O (5, 1), (7,3), (9,5), (11, 7), (13, 9)
Answers
Answer:
(5,1), (7 3), (9, 5), (11, 7), (13, 9)
Step-by-step explanation:
For every input there is exactly one output.
Answer:
(5, 1), (7,3), (9,5), (11, 7), (13, 9)
Step-by-step explanation:
The temperature was –30 C last night. It is now -40 C. What was the
change in temperature?
Answers
Answer:
-10 C
Step-by-step explanation:
It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.
Answer:
temperature decreased
more
8 + 6 + 12 = __ + 12 + 6
Answers
Answer:
The number 8 goes in the blank,
Step-by-step explanation:
Its basic commutative property.
Hope this helps!
Write a compound inequality that is represented by the graph.
5
6
7
8
9
10 11 12
13 14
15
A compound inequality using the variable x is
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Answer:
7<x<14
Step-by-step explanation:
Please help and show the work thank you ! :)
Answers
Answer:
The Sidewalk is 16 yards^3
Step-by-step explanation:
To find the this answer its quite simple!
Anytime there's an area problem you would have to multiply to numbers to get the area
in this case 16 is the answer because when you multiply 16 * 16 you get the total area of 256 yards. hope this was understand able!
High Hopes^^
Barry-
16/7 - 1/14 subtracting fractions
Answers
Answer:
31/14
Step-by-step explanation:
We first need to get common denominators, so we multiply the 16 and the 7 by 2, to get 32/12. Now we can subtract since the fractions have common denominators. After subtracting we get 31/14 or 2 3/14. Hope this helps!
solve the problem
1 . 5 x 0 . 3 = ?
Answers
Answer:
0.45
Step-by-step explanation:
1.5 × 0.3 = 0.45I hope this helps!
Can someone tell me the degree of g(x)
The x and y’s are on the chart. Just explain the 1st difference, the 2nd difference and so on...
Please no fake answers that are unrelated to this topic
Answers
Answer:
the degree of g(x) is 3:
[tex]g(x) = {x}^{3} - 4 [/tex]
plz help me!! Polynomial Long Division (Level 2)
Answers
Explanation:
I got a picture to show
