Answers
Answer:
[tex]\displaystyle y=-\frac{1}{3}x+3[/tex]
Step-by-step explanation:
First, notice that since the graph of the function is a line, we have a linear function.
To find the equations for linear functions, we need the slope and the y-intercept. Recall the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given the point (0,3) which is the y-intercept. Thus, b = 3.
To find the slope, we can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x} =\frac{2-3}{3-0}=-1/3[/tex]
Therefore, our equation is:
[tex]\displaystyle y=-\frac{1}{3}x+3[/tex]
Related Questions
PLZ HELP WILL GET BRAINLIEST! In the year 2005, the average cost of a car could be modeled by the equation C= -15x2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.
Answers
Explanation:
Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).
Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.
The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.
Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.
Find the sample size needed to estimate the percentage of Democrats among registered voters in Texas. Use a 0.01 margin of error, and use a confidence level of 96% and assume LaTeX: \hat{p}
p
^
=0.28.
Answers
Answer:
Step-by-step explanation:
Hello!
You have to determine the sample size to take to estimate the population proportion of Democrats among registered voters in Texas for a 96% interval with a margin of error of 0.01 and sample proportion p'= 0.28
The interval for the population proportion is
p' ± [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]
The margin of error of the interval is:
d= [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]
[tex]\frac{d}{Z_{1-\alpha /2}}= \sqrt{\frac{p'(1-p')}{n} }\\(\frac{d}{Z_{1-\alpha /2}} )^2= \frac{p'(1-p)}{n} \\n*(\frac{d}{Z_{1-\alpha /2}} )^2= p'(1-p)\\n= p'(1-p)*(\frac{Z_{1-\alpha /2}}{d} )^2\\[/tex]
[tex]Z_{1-\alpha /2}= Z_{0.98}= 2.054[/tex]
[tex]n= 0.28*(1-0.28)*(\frac{2.054}{0.01} )^2= 8505.33[/tex]
n= 8506 voters
I hope this helps!
If Aequals[Start 2 By 2 Matrix 1st Row 1st Column 1 2nd Column negative 4 2nd Row 1st Column negative 4 2nd Column 5 EndMatrix ] and ABequals[Start 2 By 3 Matrix 1st Row 1st Column negative 10 2nd Column 1 3rd Column 9 2nd Row 1st Column 7 2nd Column negative 15 3rd Column 8 EndMatrix ], determine the first and second columns of B. Let Bold b 1 be column 1 of B and Bold b 2 be colum
Answers
Answer:
[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right),b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]
Step-by-step explanation:
Given matrix A and AB below:
[tex]A=\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\\\\\\ AB=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]
For the product AB to be a 2 X 3 matrix, B must be a 2 X 3 matrix.
Let matrix B be defined as follows
[tex]B=\left[\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right][/tex]
Therefore:
[tex]\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\left(\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right)=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]
This results in the equations
a-4b=-10-4a+5b=7c-4d=1-4c+5d=-15Solving the first two equations simultaneously
a-4b=-10 (a=-10+4b)
-4a+5b=7
Substitution of [tex]a=-10+4b[/tex] into the second equation
[tex]-4(-10+4b)+5b=7\\40-16b+5b=7\\-11b=-33\\b=3[/tex]
Recall that [tex]a=-10+4b[/tex]
[tex]a=-10+4(3)=-10+7\\a=-3[/tex]
Solving the other two equations
c-4d=1 (c=1+4d)
-4c+5d=-15
Substitution of c=1+4d into the second equation
[tex]-4(1+4d)+5d=-15\\-4-16d+5d=15\\-11d=19\\d=-\dfrac{19}{11}\\ Recall: c=1+4d\\c=1+4(-\frac{19}{11})\\c=-\dfrac{65}{11}[/tex]
Therefore, we have:
[tex]a=-3, b=3, c=-\dfrac{65}{11}, d=-\dfrac{19}{11}[/tex]
Thus:
[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right)\\\\\\b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]
Answer:
option c
Step-by-step explanation:
it is said that a computer repairman makes 25 dollars per hour
this column shows the right amount of money he earns per hour
Which benefits do employers commonly offer to full-time employees? 401(k) plan free gasoline health insurance life insurance paid vacation rent
Answers
Answer:
401k, health insurance, life insurance, paid vacation
Step-by-step explanation:
The benefit do employers commonly offer to full-time employees should involved the 401k, health insurance, life insurance, paid vacation.
Benefits made to employees:When the employees are doing full time job so the company gives the following benefits:
heath insurancePaid vacation. Life insurance401 (k) PlanThese benefits motivates the employees to stay longer with the organization and be effective in the process which they deal with.
learn more about insurance here: https://brainly.com/question/24461491
8. What is the lateral area of the cone?
Answers
Answer:
[tex]190.07 \: {yd}^{2} [/tex]Option D is the correct option.
Step-by-step explanation:
Diameter (d) = 10 yd
Radius(r) = 10/2 = 5 yd
Slant height (l)= 12.1 yd
We know,
Lateral surface area of cone:
[tex]\pi \: r \: l[/tex]
[tex] = 3.14 \times 5 \times 12.1[/tex]
[tex] = 189.97 \: {yd}^{2} [/tex]
which is nearly 190.07 square yards.
Hope this helps...
Good luck on your assignment..
Answer:
[tex]190.07 {yd}^{2} [/tex]
Step-by-step explanation:
[tex]lateral \: \: area \\ = \pi \: rl \\ = 3.14 \times 5 \times 12.1 \\ = 189.97[/tex]
189.97 square yards which is nearly 190.07 square yards
Scientists rely on which of the following to provide critical feedback when revising scientific explanation?
A) Null Hypothesis
B) Dogma
C) Opinion
D) Peer review
Answers
Answer:
D) Peer review
Step-by-step explanation:
Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.
plz give me correct answers
Answers
Answer:
Step-by-step explanation:
greatest number=8643
smallest number=3468
difference=8643-3468=5175
6.1. DCCLVI
CDXCIV
(II) 74,746
The first step in solving for the variable / in the equation P= 21 + 2w is:
A. Add the 2w to both sides of the equal sign.
B. Subtract the 2w to both sides of the equal sign.
C. Divide the 2 to both sides of the equal sign.
D. None of these choices are correct.
Answers
Due to this, I think the answer is D.
The solutions to the inequality y < to -x+1 sre shaded on the graph. Which point is a solution
Answers
There are two ways to confirm this is the answer. The first is to note that (3,-2) is on the boundary, so it is part of the solution set. This only works if the boundary line is a solid line (as opposed to a dashed or dotted line).
The second way is to plug (x,y) = (3,-2) into the given inequality to find that
[tex]y \le -x+1\\\\-2 \le -3+1\\\\-2 \le -2[/tex]
which is a true statement. So this confirms that (3,-2) is in the solution set of the inequality.
what is 9 - 4 1/12 ??? im so stupid smh
Answers
Answer:
4 11/12
Step-by-step explanation:
Well 9 - 4 1/12 is 4 11/12
Suppose that y is directly proportional to x and that y = 16 when x = 8. Find the constant of proportionality k.
Then, find y when x = 12.
Answers
Answer: 24
Step-by-step explanation:
Variation: y ∞ x
y = kx , where k is the constant of proportionality
now to find k, we substitute for y and x in the equation above
16 = 8k
therefore,
k = ¹⁶/₈
= 2.
Now, to find y , we move back to the equation above and substitute for x and k to get y
y = 12(2)
= 24
please helpppp As soon as possible
Answers
Answer: 4 pairs
Step-by-step explanation:
121-16=105. However, 121 can be made by squaring -11 or 11. 16 can be made by squaring 4 or -4. Thus, the choices are 11,4 11,-4 -11,4 -11,-4
Which of the following options have the same value as 30\%30%30, percent of 818181?
Answers
Answer:
Option B is correct = [tex]0.3 \times 81[/tex]
Step-by-step explanation:
The complete question is: Which of the following options have the same value as 30% of 81?
Group of choices is:
(A) [tex]\frac{30}{100}\times 81 \times 100[/tex]
(B) [tex]0.3 \times 81[/tex]
(C) [tex]0.03 \times 81[/tex]
(D) [tex]\frac{3}{10}\times 81 \times 10[/tex]
(E) [tex]30 \times 81[/tex]
Now, the expression given to us is 30% of 81.
Simplifying the above expression we get;
30% of 81 = [tex]\frac{30}{100} \times 81[/tex]
= [tex]\frac{3}{10} \times 81[/tex] = [tex]0.3 \times 81[/tex]
Now, we will solve each of the given options and then see which option matches with our calculation.
Option (A) is given;
[tex]\frac{30}{100}\times 81 \times 100[/tex] = [tex]30 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
Option (B) is given;
[tex]0.3 \times 81[/tex]
This matches with our answer, so this option is correct.
Option (C) is given;
[tex]0.03 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
Option (D) is given;
[tex]\frac{3}{10}\times 81 \times 10[/tex] = [tex]3 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
Option (E) is given;
[tex]30 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z)
Find the work done.
Answers
Answer:
Work done = 0 J
Step-by-step explanation:
work done= ∫ F. dr
= [tex]\int\limits^2_0 {x} \, dx[/tex] + [tex]\int\limits^2_2 {x} \, dx[/tex] + [tex]\int\limits^0_2 {x} \, dx[/tex] + [tex]\int\limits^0_0 {x} \, dx[/tex] + [tex]\int\limits^0_0 {y} \, dy[/tex] + [tex]\int\limits^5_0 {y} \, dy[/tex] + [tex]\int\limits^5_5 {y} \, dy[/tex] + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex] + [tex]\int\limits^1_0 {z} \, dz[/tex] + [tex]\int\limits^1_1 {z} \, dz[/tex] + [tex]\int\limits^0_1 {z} \, dz[/tex]
Work done= x²/2 + y²/2 + z²/2
Applying integral limits for entire pathway
Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2
Work done = 0 J
A simple random sample of size nequals200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 106 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Upper H 0: ▼ sigma mu p ▼ not equals less than equals greater than 0.5 Upper H 1: ▼ p mu sigma ▼ less than greater than not equals equals 0.5 (b) Calculate the P-value. P-valueequals nothing (Round to three decimal places as needed.) (c) State the conclusion for the test. Choose the correct answer below. A. Do not reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. B. Do not reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. C. Reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. D. Reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. (d) State the conclusion in context of the problem. There ▼ is not is sufficient evidence at the alpha equals 0.05 level of significance to conclude that more than half of all drivers drive a car made in this country. Click to select your answer(s).
Answers
Answer:
Explained below.
Step-by-step explanation:
The information provided is:
n = 200
X = 106
α = 0.05
The sample proportion is:
[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]
(a)
A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.
The hypothesis is:
H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]
Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]
(b)
Compute the value of the test statistic:
[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]
[tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]
Compute the p-value as follows:
[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]
*Use a z-table.
Thus, the p-value of the test is 0.198.
(c)
Decision rule:
Reject the null hypothesis if the p-value is less than the significance level.
p-value = 0.198 > α = 0.05
The null hypothesis will not be rejected.
The correct option is (A).
(d)
Conclusion:
There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.
What is the sum of the measures of the interior angles of the stop sign?
Answers
Answer:
Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum of Interior Angles = (8 -2) * 180 = 1,080
25% of a class do not play basketball.
27 children do play. How many
children are in the class?
Answers
Answer: 36 children
Step-by-step explanation:
3/4 of the class plays basketball. Thus 3/4x=27. Multiply each side by 4/3 to get x = 36
Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The amounts she spent in each category are pictured here. Rent $433 Food $320 Fun $260 Other $487 What percent of her total spending did she spend on Rent? % (Please enter your answer to the nearest whole percent.) What percent of her total spending did she spend on Food? % (Please enter your answer to the nearest whole percent.) What percent of her total spending did she spend on Fun? % (Please enter your answer to the nearest whole percent.)
Answers
Answer: Rent = 29%, Food = 21%, Fun = 17%
Step-by-step explanation:
Rent = $433
Food = $320
Fun = $260
Other = $487
TOTAL = $1500
[tex]\dfrac{Rent}{Total}=\dfrac{433}{1500}\quad =0.2886\quad =\large\boxed{29\%}\\\\\\\dfrac{Food}{Total}=\dfrac{320}{1500}\quad =0.2133\quad =\large\boxed{21\%}\\\\\\\dfrac{Fun}{Total}=\dfrac{260}{1500}\quad =0.1733\quad =\large\boxed{17\%}[/tex]
Three Savings accounts are advertised. - One savings account offers an APR of 2.43% compounded daily - another one offers an APR of 2.46% compounded monthly - A third offers an APR of 2.47% compounded annually Which one pays the most interest at the end of the one-year explain how you know your answers right
Answers
Answer:
2.46% monthly pays the most
Step-by-step explanation:
The formula for the effective annual rate of interest when nominal rate r is compounded n times per year is ...
r' = (1 +r/n)^n -1
For 2.43% compounded daily, the effective annual rate is ...
r' = (1 +0.0243/365)^365 -1 ≈ 2.4597%
For 2.46% compounded monthly, the effective annual rate is ...
r' = (1 +0.0246/12)^12 -1 ≈ 2.4879%
For 2.47% compounded annually, the effective annual rate is ...
r' = (1 +0.0247/1)^1 -1 = 2.47%
__
The account with an APR of 2.46% compounded monthly pays the most interest. (2.49% > 2.47% > 2.46% ⇔ monthly > annually > daily)
please help me, i will give you brainliest
Answers
Answer:
52°i think
Step-by-step explanation:
148°-96°=52°
Answer:
The answer is below
Step-by-step explanation:
The answer is 52 degrees
The third option in the line
Hope the answer helps
A comprehensive survey released by a college reports that the true proportion of all students at the college who use drugs is 0.3. You survey 100 students in your dorm and record that the proportion of students who use drugs is 0.15. The proportion of all students at this college who use drugs is a
Answers
Complete Question
The proportion of all students at this college who use drugs is a_____and the proportion of students who use drugs in your dorm is a _____ .
Options
a. statistic; parameter b. parameter; statistic c. population; sample d. measure of central tendency, measure of variability e. none of the aboveAnswer:
b. parameter; statistic
Step-by-step explanation:
A parameter is a summary of data for an entire population.
Statistic, on the other hand, summarizes data for a sample of the population.
The proportion of all students at this college who use drugs is a parameter and the proportion of students who use drugs in your dorm is a sample.
The correct option is B
Evaluate
[tex]lim \: \frac{ \frac{1}{ \sqrt{x} } - 1}{ \sqrt{x} - 1} \: as \: x \: approaches \: 1[/tex]
Answers
Answer:
-1
Step-by-step explanation:
In many cases, the simplified expression is not undefined at the point of interest.
[tex]\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=\dfrac{\left(\dfrac{1-\sqrt{x}}{\sqrt{x}}\right)}{\sqrt{x}-1}=\dfrac{-1}{\sqrt{x}}[/tex]
This can be evaluated at x=1:
-1/√1 = -1
Then, the limit is ...
[tex]\boxed{\lim\limits_{x\to 1}\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=-1}[/tex]
__
A graph confirms this conclusion.
please ansqwer quik thanks!!!!!!
Answers
Answer:
8
Step-by-step explanation:
Refer to the following partial ANOVA results from Excel (some information is missing).
Source of Variation SS df MS F
Between groups 210.2778
Within groups 1483 74.15
Total 2113.833
The number of treatment groups is:_______.
a- 4
b- 3
c- 2
d- 1
Answers
Answer:
a) 4
Step-by-step explanation:
Take the equation:
x + 1483 = 2113.833
Solve for x:
x = 2113.833 - 1483
x = 630.833
To find df, take the equation:
[tex]\frac{x}{y} = 210.2778[/tex]
Where x = 630.833
[tex] \frac{630.833}{y} = 210.2778 [/tex]
Solve for y:
[tex] y = \frac{210.2778}{630.833} [/tex]
[tex] y = 2.9999 [/tex]
y ≈ 3
Take number of treatments = k
Degrees of freedom, df, of numberof treatments = k - 1
Therefore,
Where df = 3, we have:
k - 1 = 3
Solve for k:
k = 3 + 1
k = 4
The number of treatment groups is 4
The number of treatment groups is (a) 4
From the partial ANOVA results, we have:
SS total = 2113.833SS within = 1483MS between = 210.2778Start by calculating the SS between using the following formula
SS between= SS total - SS within
So, we have:
SS between = 2113.833-1483
SS between = 630.833
Next, calculate the degrees of freedom (df) using:
df = SS between / MS between
So, we have:
[tex]df = \frac{630.833}{210.2778}[/tex]
Divide
[tex]df = 2.99999809775[/tex]
Approximate
[tex]df = 3[/tex]
The number of treatment groups (n) is then calculated using:
[tex]n = df + 1[/tex]
This gives
[tex]n = 3+ 1[/tex]
Add 3 and 1
[tex]n = 4[/tex]
Hence, the number of treatment groups is (a) 4
Read more about ANOVA results at:
https://brainly.com/question/15394749
a bank teller has 340 one hundred dollar bills. how much money does the bank teller have?
Answers
Answer:
$34,000
Step-by-step explanation:
Since a one hundred dollar bill is equal to 100, we simply multiply 340 and 100 together:
340(100) = 34000
3/(2x-1)+4=6x/(2x-1)
Answers
Explanation:
3/(2x-1)+4=6x/(2x-1)
Make both sides has the same denominator:
3/2x-1 + 4(2x-1)/(2x-1) = 6x/2x-1
Cut down all the denominator:
3 + 8x -4= 6x
8x - 1 = 6x
2x = 1
X= 1/2
The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m. To the nearest meter, what is the distance from the top left corner of the foundation to the bottom right corner?
Answers
Answer:
27m
Step-by-step explanation:
It's the Pythagorean Theorem.
20^2+18^2=c^2
400+324=c^2
724=c^2
take the square root of both sides
26.9m=c
to the nearest meter = 27
Convert.
5 days =
lao
hours
Answers
Answer:
120 Hours
Step-by-step explanation:
24 hours in a day
5 days
24 x 5 = 120
A piece of string is 120 centimeters long. How long would the piece of string measure in meters?. Enter your answer in the box.
Answers
Answer:
1.2 metres
Step-by-step explanation:
1 metre = 100cm
so 120cm has 120 cm * 1 m/ 100cm = 1.2 m
Which of the following are solutions to the equation below?
Check all that apply.
x^2 + 3x - 18 = 0
Help ASAP
Answers
Explanation:
x^2 + 3x - 18 = 0
(x + 6)(x - 3) = 0
Set x + 6 = 0 => x = -6
Set x - 3 = 0 => x = 3
Answer: b & c
Step-by-step explanation: a p e x 2020