The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
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Twenty young men got a quote for the cost of a car insurance policy. The policy cost and ages of the men are shown in the scatter plot. The
equation for the line of best fit for the data is y=-315.67x + 8986.5 and the correlation coefficient is-0.951.
Select all the statements that are true based on the scatter plot and line of best-fit equation
4,000
3,500
...
3,000
2.500
,,
2,000
1,500
1,000
18
19 20
21 22 23 24 25
D. The line of best fit indicates that, in general, the cost of a car insurance policy for a 21-year-old should be on average, about $315
less than the cost of a car insurance policy for a 20-year-old.
06 The y-intercept from the line of best fit indicates that, if the linear trend holds, a car insurance policy would be 50 for a person who
is about 8,987 years old.
OcEvery 19-year-old in this group has a lower cost of car insurance than the 18-year olds
Od
The value of the correlation coefficient is very close to -1, so there is no association between age and car insurance policy cost.
Car insurance policy cost tends to decrease as the age of the driver increases.
e
The statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Given that the correlation coefficient of -0.951, it suggests that the policy cost and ages of the men as shown in the scatter plot are strongly negatively correlated.
This means that, the lower the higher the age of the men, the lesser the cost of a car insurance policy.
The slope value in the equation, y = -315.67x + 8986.5, is -315.67, which is the average cost of a car insurance policy per year.
Therefore, the statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Learn more about line of best fit on:
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Jasmine spends $1,089.72 each month for rent and supplies to run her hair salon. If she charges $18 for a haircut, how many haircuts must Jasmine do to cover her monthly expenses? Round to the nearest whole number.
Answer: 61 haircuts
Step-by-step explanation:
Joel can do 20 math problems in 90 seconds How many seconds would it take him to do 32 problems?
HELP ME ITS SUPER HARD
Answer:
Joel can do 20 math problems in 90 seconds
He can do 1 math problem in 90/20 = 4.5 seconds
Now, Joel can do 32 math problems in
4.5×32
= 144 seconds
= 2 minutes 24 seconds
Step-by-step explanation:
Here I used the unitary method to sovle the question
Simplify.
4x + 2(x + 5) + 1
A) 6x + 6
B) 4x + 8
C) 6x + 11
D) 5x + 8
Answer:
C is your answer for your question
Add the equations.3x-y=-5
7x+y=15
Step-by-step explanation:
it is like a regular addition of numbers. you add the different positions.
3x + 7x = 10x
-y + y = 0
-5 + 15 = 10
so, D. is the right answer : 10x = 10
What is 13x4=nx26 and tell me the answer
Answer:
There are a couple different solutions to your equation:
[tex]x=0[/tex]
[tex]x=\sqrt[22]{\frac{13}{n}}[/tex]
[tex]x=-\sqrt[22]{\frac{13}{n}}[/tex]
[tex]\:n\ne \:0[/tex]
What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)
Answer:
Vertical asymptote is at [tex]x=-3[/tex]
Step-by-step explanation:
Let us plot the function
Here
[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]
Function does not exits at [tex]x=-3[/tex]
Vertical asymptote is at [tex]x=-3[/tex]
Help help math please please
Answer:
8
Step-by-step explanation:
a carpet cleaning service charges a one-time service fee of $100 with an additional $15 per hour for their business. write a linear equation that represents the total cost (y) for the hours work (x)
Answer:
The answer is y= 100 +15x
Step-by-step explanation:
You start with a service fee of $100
$15 per hour
x because the amount of hours can vary
y which is the total cost
y= 100+ 15x
What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?
Answer:
[tex]y=\frac{1}{2} x+9.[/tex]
Step-by-step explanation:
1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;
2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;
3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.
Ulises lives 2.5 miles from school. Convert the distance to feet.
Answer:
The answer is 13,200 feet.
Step-by-step explanation:
1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.
5,280 * 2.5 = 13,200.
If you don't have a calculator you can multiply be splitting the parts.
5,280 * 2 = 10,560
+ 2,640 = 13,200
You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
13200 feet. Guaranteed
Step-by-step explanation:
Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5
Answer:
Hope it will help you...
Write 0.06 as a fraction
Answer:
3/50
Step-by-step explanation:
Answer:
0.06 is equal to 3/50.
Hope that helps. x
A clerk is decreasing the price of an item by 15% The original price of an item is ($550
What will the new price be?
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answer: i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090
Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090. (i hope this will help you and sorry if i did it wrong) :)
i need help btw im 6th grader
please help. one algebra question for 20 points
Answer:
f(-18) = -5
Step-by-step explanation:
Substitute−18forxiny=
1/3 x+1:
y= 1/3x+1
y= 1/3(−18)+1
y=−5(Simplify both sides of the equation)
Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comma, minus, 7, comma, minus, 3, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
Answer:
c(1) = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Given arithmetic sequence is,
-15, -11, -7, -3...........
Common difference between each successive and previous term is,
d = -11 - (-15)
= -11 + 15
= 4
Since recursive formula of the arithmetic sequence is represented by,
a₁ = First term of the sequence
a(n) = a(n - 1) + d
where a(n) is the nth term and a(n-1) is the previous term of the nth term.
Form the given sequence,
c₁ = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
en.
If the graph is reflected over the x-axis, what is the
domain of the function?
all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Answer:
Step-by-step explanation:
Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image
The domain of the function are all real numbers greater than or equal to 0.
What is domain and range of a function?Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.
If the graph is reflected over the x-axis, then we need to find domain of the function.
Domain means all the x values on the graph. The x values that you can literally see on the graph and for what you can't see it's all the x values you can put into the equation...for this graph.
when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.
So the y values (range) are VERY different on the graph and its reflection.
Therefore, The domain of the function are all real numbers greater than or equal to 0.
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You work for a consumer advocacy agency and want to estimate the populations means cost of monthly maintenance on a car. It is assumed that the average monthly cost of maintenance is $210 dollars. In a random sample of 100 cars, you find the average monthly maintenance cost was $185. Assume that the population standard deviation is known to be $125; Use a 0.03 significance level to test the claim that the population mean weight of cost of maintenance differs from 210 lbs. State the null and alternate hypothesis test
A) H0: μ≤185
Ha: μ>185
B) H0: μ≥210
Ha: μ<210
C) H0=210
Ha: μ=185
D) H0: μ=210
Ha: μ ≠ 210
According to the desired test, the hypothesis are given by:
D) H0: μ=210
Ha: μ ≠ 210
At the null hypothesis, it is tested if the population mean is of 210 lbs, that is:
[tex]H_0: \mu = 210[/tex]
At the alternative hypothesis, it is tested if the population mean differs from 210 lbs, that is:
[tex]H_a: \mu \neq 210[/tex]
Hence, the correct option is:
D) H0: μ=210
Ha: μ ≠ 210
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❤️‼️‼️‼️‼️‼️‼️‼️❌❌❣️❣️❣️❣️❣️❣️
Answer: a
Step-by-step explanation:
Answer:
it's A
Step-by-step explanation:
Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.
Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.
B.
Mark is under his budget by more than 20 dollars.
C.
Mark is over his budget by less than 20 dollars.
D.
Mark is over his budget by more than 20 dollars.
Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?
Answer:
Step-by-step explanation:
A∩B = 4
PLZ SOLVE THE PROBLEM
Answer:
[tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
→ Minus the 2 numbers from each other
[tex]-1\frac{1}{5} -1\frac{3}{10}[/tex]
→ Find the LCM
[tex]-1\frac{2}{10} -1\frac{3}{10}[/tex]
→ Simplify
[tex]-2\frac{5}{10} =-2\frac{1}{2}[/tex]
A salesperson earns a commission of $308 for selling $ 2200 in merchandise. Find the commission rate.
Answer:$247
Step-by-step explanation
please i need help on the question
Answer:
A
D
B
C
Step-by-step explanation:
We can simplify the expressions for easier comprehension:
A. 60.7 x 10^-1 = 6.07
B. 6.07 x 10^3 = 6,070
C. 0.67 x 10^4 = 6,700
D. 6.7 x 10^2 = 670
Now, we can order them in ascending order (least to greatest):
A
D
B
C
Determine the quotient of 4/5 divided by 4
Answer:
it will probably be 1/5
hope I am correct and sorry if not.
A herd of 4 horses has 1 white and some black horses. What is the ratio of while to black
horses?
Answer:
4:1
Step-by-step explanation:
if we assume there are only two types of horses it would be 4 black horses per 1 white
The level of significance that determines the area of the critical region for a hypothesis
test, should be chosen before the statistical test findings are evaluated, as to not allow
biasing of the test results by the individuals conducting the hypothesis test.
O True
O False
The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to not allow biasing of the test results by the individuals conducting the hypothesis test. - False
What is level of significance?Level of significance is the" measurement of the statistical significance. It defines whether the null hypothesis to be accepted or rejected. It is expected to identify if the result is statistically significant for the null hypothesis to be false or rejected. The level of significance, also denote as alpha".
The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to allow biasing of the test results by the individuals conducting the hypothesis test.
Hence, the given question is False.
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Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x
Answer:
h(x) = 1/2x f(x) = 4x 4x/2=2xSo,h(x) = 1/2xThe inverse of the function of f(x) = 4x is h(x) = x/4
Inverse of the functionSince f(x) = 4x, to obtain its inverse, we write f(x) = y
So, y = 4x.
We now divide both sides by 4. so, we have
y/4 = 4x/4
y/4 = x
Next, we replace x with y. So,
y/4 = x
x/4 = y
Next, we now replace y with f⁻¹(x) which is the inverse of f(x).
So, y = x/4
f⁻¹(x) = x/4
Since f⁻¹(x) = h(x), replacing these, we have
h(x) = x/4
So, the inverse of the function of f(x) = 4x is h(x) = x/4
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