Answer:
The quadratic equation is x^2 -12x -120 = 0
where x represents the length of the field
Step-by-step explanation:
We want to make an expression in terms of a quadratic equation;
Let the length of the field be x mm , then the width will be (x-12) mm
Mathematically , the area of the field will be L * B
Thus;
x * (x-12) = 120
That gives;
x^2 -12x = 120
x^2 -12x -120 = 0
find the slope of the two given points (-9,6) and (0,1)
Answer:
[tex]m=\frac{-5}{9}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{1-6}{0-(-9)}[/tex]
[tex]m=\frac{-5}{0+9}[/tex]
[tex]m=\frac{-5}{9}[/tex]
I need to know if there functions or not (algebra)
Answer:
Number 14 is a function and Number 16 is NOT a function.
Step-by-step explanation:
To check if a set of numbers form a function, you can look at the x values or the imput values.
For number 14 the x values are : 4,-3,-4,5,6. When looking at these values, there can only be one of each number.
For example in number 16, there's two 0's and we cannot allow that! So therefore, number 16 is not a function.
Also note, the y values are called the outputs.
A function is only allowed to have ONE imput with each output.
Hope this helps! :)
On Tuesday, the temperature in Fairfield, Montana fell from 51℉ at noon to −℉ at midnight.What was the average temperature change per hour?
One out of every 119 tax returns that a tax auditor examines requires an audit. Find the probability that (a) the first return requiring an audit is the 25th return the tax auditor examines, (b) the first return requiring an audit is the first or second return the tax auditor examines, and (c) none of the first five returns the tax auditor examines require an audit.
Answer:
A) 0.00686
B) 0.01673
C) 0.99587
Step-by-step explanation:
For this question, we are interested in the first success and we will Thus make use of geometric probability distribution.
It goes by the formula;
P(x) = [(1 - p)^(x - 1)]p
We are told that One out of every 119 tax returns that a tax auditor examines requires an audit.
Thus; p = 1/119 = 0.0084
A) Probability that the first return requiring an audit is the 25th return the tax auditor examines is given by;
P(25) = [(1 - 0.0084)^(25 - 1)]0.0084
P(25) = 0.00686
B) Probability the first requiring an audit is the first or second return the tax auditor examines, is;
P(1 or 2) = P(1) + P(2)
P(1) = [(1 - 0.0084)^(1 - 1)]0.0084
P(1) = 0.0084
P(2) = [(1 - 0.0084)^(2 - 1)]0.0084
P(2) = 0.00833
Thus;
P(1 or 2) = 0.0084 + 0.00833
P(1 or 2) = 0.01673
C) Probability that none of the first five returns the tax auditor examines require an audit is given by;
P(X > 5) = 1 - P(X ≤ 5)
Now,
P(X ≤ 5) is expressed as;
P(X ≤ 5) = P(1) + P(2) + P(3) + P(4) + P(5)
We know P(1) & P(2) already. Let's find P(3), P(4) and P(5)
P(3) = [(1 - 0.0084)^(3 - 1)]0.0084
P(3) = 0.00826
P(4) = [(1 - 0.0084)^(4 - 1)]0.0084
P(4) = 0.00819
P(5) = [(1 - 0.0084)^(5 - 1)]0.0084
P(5) = 0.00812
P(X ≤ 5) = 0.0084 + 0.00833 + 0.00826 + 0.00819 + 0.00812
P(X ≤ 5) = 0.00413
P(X > 5) = 1 - 0.00413
P(X > 5) = 0.99587
If an equation takes the form y (minutes) = 3x (cookies eaten),
how long will it take you to eat 6 cookies?
Answer:
18 minutes
Step-by-step explanation:
You would plug in 6 for x and it should look like this
y=3×6
then you multiply and you get
y=18
So it would take 18 minutes.
Question 4 (1 point) Phil Dunphy, a real estate agent, is considering whether he should list an unusual $345,584 house for sale. If he lists it, he will need to spend $5,892 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,166. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 33%. What is the expected profit on this listing? Your Answer:
Answers:
The expected profit on the listing is $2377.14
Step-by-step explanation:
Given that:
The probability of selling the house in 6 months is p = 0.33
The probability of not selling the house = 1 - 0.33 = 0.67
Suppose X represents the profit on the listing;
Then: we can compute the expected profit on the listing as:
E(X) = ($19166 × 0.33) - ($5892 × 0.67)
E(X) = $6324.78 - $3947.64
E(X) = $2377.14
Thus, the expected profit on the listing is $2377.14
What is the formula for distance?
Formula:
Hope this helped, if not, don’t spam.
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving a sample problem using the distance formula.
Sample problem: Determine the distance between P(3, 2) and Q(10, 2).
From inspection on the given problem:
(x_1, y_1) = (3, 2)(x_2, y_2) = (10, 2)Substitute the given values into the distance formula and solve for PQ:
[tex]\sf PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf PQ = \sqrt{(10 - 3)^2 + (2 - 2)^2}[/tex][tex]\sf PQ = \sqrt{(7)^2 + (0)^2}[/tex][tex]\sf PQ = \sqrt{49 + 0}[/tex][tex]\sf PQ = \sqrt{49}[/tex][tex]\bold{PQ = 7 \: units}[/tex]Therefore, the distance between two points is 7 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this other sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
Cheers!
4. What is the range of the graph below
Answer:
R: (Y| E R {-4<=y<=-1})
Step-by-step explanation:
Just look at where the graph is limited to vertically, in this case -1 and -4.
The range of the given graph is [-4,-1] and this can be determined by observing the given graph.
The following steps can be used in order to determine the range of the given graph:
Step 1 - The range is the different values of 'y' at different values of 'x'.
Step 2 - According to the given graph, the maximum value of 'y' is -1.
Step 3 - According to the given graph, the minimum value of 'y' is -4.
Step 4 - So, the range of the given graph is given below:
[tex]-4\leq y\leq -1[/tex]
The range of the given graph is [-4,-1].
For more information, refer to the link given below:
https://brainly.com/question/8041076
Please HELP IF CORRECT I WILL MARK BRAINLYLIST!!!!
Answer:
they are parallel so same answer, 85 degrees.
pls help mee i need help on this fast
Answer: 30
Step-by-step explanation:
Thos is simply 6*10/2 which is 30.
Express the repeating decimal as a fraction \large 2.11111...
Answer:
i believe A
Step-by-step explanation:
Simplify the expression 256b − b by combining like terms.
Answer:
255b
Step-by-step explanation:
subtract 256b by b
£2000 is placed into a bank that pays 3% compound interest per year, how much will it be after 2 years?
Answer:
2,121.80
Step-by-step explanation:
Compounded annually: Account Balance = Principal x (1 + interest rate (decimal))^number of years.
With the given information this is: 2000 (1.03)^2 = 2,121.80.
So you will earn 121.80 in interest after 2 years on your original 2000 deposit.
Can I get Brainliest?
If the vegetable assembly line runs for 3 minutes, how many minutes would the fruit assembly line need to run to complete the order of 384 cans? Explain.
Answer:
You need to say how many cans go by a minute to be able to answer this question.
Step-by-step explanation:
Answer:
8 Minutes
Step-by-step explanation:
24x+64y=384 y=3 minutes
24x+64930=384
24x+192=384
24x=384-192
24x=192
192/24=8 minutes
3. Find the zero of (write just the number, If there is no zero, write "none")
Answer:
it would be in no cause there is a o
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
You can't solve it.
only 16, so you can't input 'x' anywhere
an item is regularly priced at $63. justin bought it at a discount of 45% off the regular price. find out how much justin paid
Answer:
18$
Step-by-step explanation:
Question 5 of 19
What is the fractional equivalent of the repeating decimal 0.4 ?
A. 4/99
B. 4/9
C. 2/5
D. 4/100
Simplify the following equation:
– 4y + 7 + 9y - 3
Answer:
5y + 4
Step-by-step explanation:
-4y + 7 + 9y - 3
Subtract: 9y - 4y
5y + 7 - 3
Subtract: 7 - 3
5y + 4
Hope this helps and pls do mark me brainliest if you can:)
En el parque de béisbol "Héctor Espino"; cuatro boletos de butaca y 7 de general cuestan $ 415.00, mientras que tres de butaca y dos de general cuestan $ 230.00. Encuentra el precio de un boleto de butaca.
Answer:
is this question in Spanish?
find the average high and low temperature for the week
Answer:
78 for high and 48 for low, where i live
Step-by-step explanation:
you didnt give a graph or whatever so i put two random answers that arent actually where i live because that doesn't matter and is personal info.
helpppp meee passssss
Answer:
17 units
Step-by-step explanation:
count up on the graph and then count right until you reach q
Write a formula that will help Greg determine
how much money he will earn in one week.
Let's let
a = total amount earned
h = hours worked in one week
b = number of bushels picked
Use the curved parentheses 'O', if required.
Do not use other parentheses like '{ }' or '[ ]'.
Answer:
a = 3h + 2.50b
Step-by-step explanation:
Greg picks apples to make money over the summer. He earns $3 an hour plus $2.50 for each bushel he picks. Write a formula that will help Greg determine how much money he will earn in one week.
Let
a = Total amount earned
h = Hours worked in one week
b = Number of bushels picked
Solution:
Amount earned per hour = $3
Amount earned per bushel picked = $2.50
Total amount earned = (Amount earned per hour) ( Hours worked in one week) + (Amount earned per bushel picked) (Number of bushels picked)
a = 3*h + 2.50*b
= 3h + 2.50b
a = 3h + 2.50b
The equation t= 13p + 108 can be used to estimate the cooking time t in
minutes for a stuffed turkey that weighs p pounds. Solve the equation for p.
Then find the weight of a turkey that requires 285 minutes to cook.
Answer:
Step-by-step explanation:
(285)=13p+108
177=13p
p= 13.62 lbs
Please show all work
what values are equivalent to -1/4
Answer:
-2/8
-3/12
-4/16
-5/20
-6/24
-7/28
-8/32
a great equivulent of -1/4 would be...
(fraction)
-2/8, -4/16, -16/64
(decimiel)
-.25
What is the discrimination of the quadratic equation 6x^2-9x-8=0
Answer:
first setup your problem. it should look like this :
Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be with 0.04 of the population proportion?
Answer:
The probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.
Step-by-step explanation:
Let p = proportion of advertisers who claim they have been a victim of click fraud.
The population proportion is, p = 0.40.
A random sample of 380 advertisers is selected.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
The sample selected is too large, i.e. n = 380 > 30.
Then the proportion of advertisers who claim they have been a victim of click fraud can be approximated by the normal distribution.
The mean and standard deviation of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p=0.40\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{380}}=0.025[/tex]
Compute the probability that the sample proportion will be with 0.04 of the population proportion as follows:
[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.025}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.04}{0.025})[/tex]
[tex]=P(-1.60<Z<1.60)\\=P(Z<1.60)-P(Z<-1.60)\\=0.94520-0.05480\\=0.8904[/tex]
Thus, the probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.
Which of the following expressions are equivalent to a value of -6? Select all that apply.
Answer:
mention the other options or clip the pic of question
Answer:
what numbers represent the following? i'd take a wild guess and say that one of the right answers is 0/-6? idrk, I'd copy and paste the whole question so we can help you, Have a great day, good luck, and peace out! -Conner
Step-by-step explanation:
Rewrite each expression using I
Answer:
Step-by-step explanation:
a.) ✓-4
✓-1 × ✓4
i×2
2i. Final answer
b.) ✓-12
✓-1 ×✓12
2✓3i
2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points (−1,−1) and (1,3)
A.The rate of change is −1/2.
B.The rate of change is 2.
C.The rate of change is 1/2.
D.The rate of change is −2.
3.The following graph shows the inches of snow on the ground over a certain number of hours. Use the graph to estimate the rate of change of the function at 3 hours using the points (0,0) and (5,10)
A.The rate of change is −1/2 of an inch per hour.
B.The rate of change is 1/2 of an inch per hour.
C.The rate of change is 2 inches per hour.
D.The rate of change is −2 inches per hour.
4.The following graph shows the average temperatures in degrees Fahrenheit (°F) over the days of a month. Use the graph to estimate the rate of change of the function at the ninth day of the month using the points (2,55) and (10,65)
A.The rate of change is 0.8 degrees Fahrenheit per day.
B.The rate of change is 1.25 degrees Fahrenheit per day.
C.The rate of change is −0.8 degrees Fahrenheit per day.
D.The rate of change is −1.25 degrees Fahrenheit per day.
5.Use the following graph to answer which of the following points would provide the most accurate estimation for the rate of change of the function as it crosses the y-axis. Explain.
(−0.5, 2)
(0.5, 3)
(−0.5, 3)
(0.5, 1)
A.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.
B.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.
C.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.
D.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.
Answer:
2. B. The rate of change is 2
3. C. The rate of change is 2 inches per hour
4. B. The rate of change is 1.25 degrees Fahrenheit per day
5. (-0.5, 3) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0
Step-by-step explanation:
2. Using the points (-1, -1) and the (1, 3) we have;
The rate of change = (Change in the y-values)/(Corresponding change in the x-values)
The rate of change = (3 - (-1))/(1 - (-1)) = 4/2 = 2
The rate of change is 2
3. Using the points (0, 0) and the (5, 10) we have;
The rate of change = (Change in the y-values)/(Corresponding change in the x-values)
Given that the function is a linear function, the rate of change of the function at 3 hours is given by the slope, m, as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (0, 0)
(x₂, y₂) = (5, 10)
The y-coordinate being the inches of snow, and the x-coordinate being the time in hours, we have;
The rate of change = (10 - 0)/(5 - 0) = 10/5 = 2
The rate of change is 2 inches per hour
4. Given that the function is a linear function, the rate of change of the function at ninth day is given by the slope, m, as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (2, 55)
(x₂, y₂) = (10, 65)
The y-coordinate being the temperature in degrees, and the x-coordinate being the time in days, we have;
[tex]Slope, \, m =\dfrac{65-55}{10-2} = \dfrac{10}{8} = 1.25[/tex]
The rate of change is 1.25 degrees Fahrenheit per day
5. The points on the graph of the function that come before and after the point where the graph of the function crosses y-axis (the y-intercept) and are close to point are (-0.5, 2) and (0.5, 3)
Therefore, (-0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0.