Write an equation for the line in slope-intercept
form.
(Use integers or fractions for any numbers in the
equation.)
Answers
Answer:
y = 3x + 5Step-by-step explanation:
Slope-intercept form:
y = mx + b, where m is the slope, b is the y-interceptTake two points from the graph:
(-2, -1) and (0, 5)Find the slope:
m = (5 - (-1))/(0 - (-2)) = 6/2 = 3The y-intercept is b = 5
The line is:
y = 3x + 5Related Questions
A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 1,100 adults showed 385 indicating that their financial security was more than fair.
Required:
a. State the hypothesis that can be used to test for a significant difference between the population proportions for the two years?
b. What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c. Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
d. What is the 95% confidence interval estimate of the difference between the two population proportion?
Answers
Answer:
The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.
Step-by-step explanation:
Let p1 be the sample of 1000 adults chosen in 2012 and
p2 be the sample of 1100 adults chosen in 2010
Part a:
The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:
H0: p1-p2= 0 against the claim Ha: p1-p2≠0
Part b:
The sample proportion indicating that their financial security was more that fair in 2012 is
p1^= 410/1000= 0.41
In 2010 is:
p2^= 385/1100= 0.35
Part c:
p^c= 410+385/1000+1100= 0.3785
q^c= 1-p^c= 1-0.3785= 0.6124
The critical region is z > ±1.96
The test statistic is
z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)
z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)
z= 0.06 / 0.021036
z= 2.85
Conclusion
The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.
P- value : 0.00466
The result is significant( accept the null hypothesis) for value less than 0.05
Part d:
2012 2010
Sample 1000 1100
Proportions 0.41 0.35
Standard Error √0.41( 0.59)/1000 √0.35( 0.65)/1100
= 0.0155 0.01438
Standard Error for the difference = √0.0155² + 0.01438² =0.0211
p1-p2 ± z* standard error for the difference
0.41-0.35 ± 1.96 *( 0.0211)
0.06 ± 0.041356
-0.018644, 0.101356
The 95 % confidence interval estimate is (-0.018644, 0.10135
v= u + at, find v, when u = 12, a = 5 and t = 7
Answers
Answer:
V=47
Step-by-step explanation:
12+5x7
12+35
47
Answer:
Final velocity (v) = 47 m/s
Step-by-step explanation:
u = 12
a = 5
t = 7
v = ?
v = u + at (first law of motion)
v = 12 + (5 × 7)
v = 12 + 35
v = 47 m/s.
5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?
Answers
Answer:
3/4
Step-by-step explanation:
2- 1 1/4= 3/4
Answer:
3/4
Step-by-step explanation:
MATH HOMEWORK WHO CAN ANSWER
Answers
Answer:
its the 3 one
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
A. [tex] \angle 4 \: and \angle 6[/tex] - - - (same side interior angles)
B. [tex] \angle 5 \: and \angle 8[/tex] - - - (vertical angles)
C. [tex] \angle 2 \: and \angle 6[/tex] - - - (corresponding angles)
D. [tex] \angle 4 \: and \angle 5[/tex] - - - (alternate interior angles)
#5:20 < 6+(-7x)
HINT! What is an equivalent way to write 6+ (-7x)?
What letter from the chart above matches the
solution to this inequality? Type your answer as a
CAPITAL letter.
Answers
Answer:
the answer i got was x<-2
Step-by-step explanation:
jackie bought 15 cookies for $3 . How much will she have to pay for 35?
Answers
Step-by-step explanation:
15=3
35=x
15x=3×35
x= 3×35÷15
x=105÷15
x=7
Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and
Answers
Answer:
and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.
Step-by-step explanation:
Answer:
Step-by-step explanation:
63 = 3 * 3 * 7
49 = 7 * 7
77 = 7 * 11
So the GCF = 7.
LCM = 7 * 7 * 3 * 3 * 11 = 4851.
a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent
Answers
Answer:
Probability = 0.088 ie 8.8%
Step-by-step explanation:
P (I) = 40% = 0.4
P (L) = 35% = 0.35
P (C) = 25% = 0.25
P (EV / I) = 40% = 0.4
P (EV / L) = 75% = 0.75
P (EV / C) = 65% = 0.65
P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]
[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)
[(0.4) (0.4)] / [ 0.4 + 0.75 + 0.65 ]
0.16 / 1.8
= 0.088 ie 8.8%
A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?
Answers
Add both distances together:
50 + 22 = 72 feet total distance.
M(4, 2) is the midpoint of RS. The coordinate of S are (6, 1). What are the coordinates of R?
Answers
Answer:
Step-by-step explanation:
Compare coordinates of S and M
difference in x-coordinates = 4-6 = -2
difference in y-coordinates = 2-1 = 1
x-coordinate of R = x-coordinate of M - 2 = 4-2 = 2
y-coordinate of R = y-coordinate of M + 1 = 3
R(2,3)
Choose the inequality that represents the following graph.
Answers
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answers
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
What would be the y- intercept for the function y=3x-6?
Answers
Answer:
the y intercept would be at (0,-6)
Solve the inequality 2n – 1 < 39
Answers
Answer:
n < 20
Step-by-step explanation:
2n – 1 < 39
Add 1 to each side
2n – 1+1 < 39+1
2n < 40
Divide each side by 2
2n/2 < 40/2
n < 20
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.
How long is each piece?
2 inches
3 inches
4 inches
6 inches
Answers
Answer:
3 inches
Step-by-step explanation:
Answer:
3 in
Step-by-step explanation:
Plz help! I don’t know how to do these!
Answers
4. x= 40
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
☺️
How do I solve this
4+(3.7-x)=1.72
Answers
Answer:
x = 5.98
Explanation:
1. 4+(3.7−)=1.72
2. 4+(−+3.7)=1.72
3. 4−+3.7=1.72
4. 7.7−=1.72
5. −+7.7=1.72
6. −+7.7−7.7=1.72−7.7
7. −=−5.98
Then simplify to x =5.98
If you answer these questions i will give you free point's. (Answer all of them pls)
1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.
Answers
Answer:
1. 4
2.40
3. 28
4.11
5.12
6. 1
7. 1200
Step-by-step explanation:
1. 1/4 (one quarter) of 32 = 8.
50% of 8 = 4
2. 2/3• 60 = 120/3 = 40
3. 25% = 0.25, 40% = 0.40
So 0.25 • 80= 20
0.40 • 120 = 48
Then subtract: 48-20 = 28. Half of 28 is 14. Add that 14 to 20, and your answer is 34. It will probably be helpful to either write that on a number line, or picture it on a number line.
4. 50% of 88kg is half of that, which is 44. One quarter = 1/4, so 44/4 = 11
5. Half of 600 pounds is 300 pounds. 3% = 3/100 = 0.03. Multiply that by 300 to get your answer. 300 • 0.03 = 9
6. 1/5 of 25cm = 25/5= 5
2% of 300 = 300• 0.02= 6
What is exactly halfway between 5 and 6? 5.5
7. Start this one with the last statement. 10% (0.10) of 3kg = 3•0.10= 0.3. Four times that = 4•0.3= 1.2
Then check: is that greater than 0.6? Yes.
One third of 6kg = 6/3= 2
Is 1.2 less than 2? Yes.
What is the average rate of change in temperature from February to May?
Answers
Answer:
27 degrees
Step-by-step explanation:
A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?
A.
This line is parallel to the line whose equation is y = 2x – 7.
B.
The line has a positive slope.
C.
The y-intercept is 7.
D.
The point (1, 4) lies on the line.
Answers
Step-by-step explanation:
alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a
Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.
Answers
Answer:
possible answer: 44- parent/ 14 yrs old daughter.
Sorry if i'm wrong
Step-by-step explanation:
S 4xy
when x = 2, y = 5
Answers
Answer: 40
Step-by-step explanation:
Plug in the known values:
4(2)(5) = 8(5) = 40
Answer:
its 40 hope this helps you
Step-by-step explanation:
have a nice day/night
n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46
Answers
Answer: D) 46
===========================================================
Explanation:
We have these 8 given facts
N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.
Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.
Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.
Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.
If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.
---------------------------
So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17
In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.
From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.
The last value to fill in is the 36 from fact 8. This goes outside all of the circles.
The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.
---------------------------
Using that diagram of filled in values, add up every number written down:
17+9+39+12+10+36 = 123
We have 123 items so far in the universal set
We're told that n(U) = 147, meaning there are 147 items total in the universal set.
This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.
That 24 adds to the other numbers inside circle C to get to the final answer
12+10+24 = 46
Choice D is the answer.
Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.
While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi
Answers
Answer:
9.6 m
Step-by-step explanation:
let 'x' be distance traveled
196 = 3.14(6.5)x
196 = 20.41x
x = 196/20.41
x = 9.6
Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >
Answers
Answer:
<
Step-by-step explanation:
hhahaha
Solve the parallelogram for x MARKINF people as brainlist
Answers
Answer:
in the question there must be the area of the parallelogram given...
Dave divided 3/5 of a gallon of plant fertilizer evenly among 6 smaller bottles. How many gallons did he put in each bottle?
Whoever answers first gets brainliest please help
Answers
Answer:
Brothers Sorry I don't
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution
Answers
x/(x-2)*(x+2)*(x-1) into partial fraction
no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?
Answers
Answer:
((-1 + x) (2 + x) X)/(-2 + x)
Step-by-step explanation:
1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)
2 (x(x+1)-2)x)/(x-2)
3 (x(xx+x)-2x)/(x-2)
4(x^(2)x+xx-2x)/(x-2)
5 (-2 + x + x^2) X)/(-2 + x)
Root
X = 0 , X-2=0
Roots
X=-2
X=1
At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.
Answers
Answer:
3.75Step-by-step explanation: