Answers
Answer:
[tex]y<-\frac{4}{3}x+5[/tex]
Step-by-step explanation:
We first need to determine the equation of the line.
Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).
Now, we can use the slope formula. Therefore:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:
[tex]m=\frac{1-5}{3-0}=\frac{-4}{3}[/tex]
Therefore, our slope is -4/3.
Now, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is our slope and b is the y-intercept.
We already determined that the slope is -4/3.
And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:
[tex]y=-\frac{4}{3}x+5[/tex]
Finally, we need to determine our inequality sign.
Notice that our line is dotted. Hence, we do not need “or equal to.”
Also, the blue shaded region is below our line. Therefore, y must be less than our equation.
Hence, our sign is less than.
Therefore, our equation is:
[tex]y<-\frac{4}{3}x+5[/tex]
Related Questions
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true proportion is 0.05. If 408 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.03?
Answers
Answer:
The probability is [tex]P( | \^ p - p| > 0.03) =0.9945[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.05[/tex]
The sample size is n = 408
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p (1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.05 (1- 0.05)}{408} }[/tex]
=> [tex]\sigma = 0.0108[/tex]
Generally the probability that the sample proportion will differ from the population proportion by greater than 0.03 is mathematically represented as
[tex]P( | \^ p - p| > 0.03) = P( \frac{|\^ p - p | }{\sigma } > \frac{0.03}{0.0108} )[/tex]
[tex]\frac{|\^ p -p |}{\sigma } = |Z| (The \ standardized \ value\ of \ |\^ p -p | )[/tex]
So
[tex]P( | \^ p - p| > 0.03) = P( |Z|> 2.778 )[/tex]
=> [tex]P( | \^ p - p| > 0.03) = P( Z < 2.778) - P(Z < -2.777)[/tex]
From the z table the area under the normal curve to the left corresponding to 2.778 and -2.778 is
[tex]P( Z < 2.778) = 0.99727[/tex]
and
[tex]P( Z < -2.778) = 0.0027347[/tex]
So
[tex]P( | \^ p - p| > 0.03) = 0.99727 - 0.0027347[/tex]
=> [tex]P( | \^ p - p| > 0.03) =0.9945[/tex]
List the sides of the triangle ABC from smallest to largest using the information below. *
Answers
Answer:
AB, BC, AC
Step-by-step explanation:
(9x + 29)° + (93 - 5x)° + (10x + 2)° = 180°
9x + 29 + 93 - 5x + 10x + 2 = 180
14x + 124 = 180
14x = 56
x = 4
m∠A = (9(4) + 29)° = 65°
m∠B = [93- 5(4)]° = 73°
m∠C = (10(4) + 2)° = 42°
m∠C < m∠A < m∠B
AB < BC < AC
I need heLP PLS AND THXS
Answers
Answer:
SAS
Step-by-step explanation:
Answer:
SAS (side-angle-side)
Step-by-step explanation:
1/5 (5x-15) -2x
What is the question ??
How do I solve the problem ??
Answers
Answer:
[tex]-x-3[/tex]
Step-by-step explanation:
They want you to simplify the expression.
Step 1: Apply the distributive property.
[tex]\frac{1}{5} (5x)+\frac{1}{5} (-15-2x)[/tex]
Step 2: Cancel the common factor of 5.
[tex]x+\frac{1}{5} (-15-2x)[/tex]
Step 3: Cancel the common factor of 5.
[tex]x-3-2x[/tex]
Step 4: Subtract 2x from x.
[tex]-x-3[/tex]
A six pack of Coca Cola costs $3.55. What is the unit rate?
Answers
Answer:
Step-by-step explanation:
O.5917
Should be ur answer
Answer:
59 cents
Step-by-step explanation:
When finding the unit rate, you need to end up finding what is the price for one product (basically a fraction with one on the bottom) to find this I just did 3.55 / 6 which gave me 59 cents, the price of one coca cola bottle.
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.
Answers
Answer:
1. 15*15
2. 10*10
3. 3*3
Step-by-step explanation:
Answer:
Square the given value
Step-by-step explanation:
1. 15^2=225
10^2=100
3^2=9
A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.
list all prime numbers. between 10 and 20
2 Identity these prime numbers from the clues
(a) it is less than 30
The sum of its digits is 8
(b) It is between 30 and 60
The sum of its digits is 10
Answers
Answer:
11, 13, 17, 19
Step-by-step explanation:
A) Find the prime #'s less than 30.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
2) See which #'s add and is less than 30 but, equal to 8.
17.
B) Find prime #'s between 30 & 60
31, 37, 41, 43, 47, 53, 59
2) See which #'s add and is add to 10.
37.
meera is researching cruising speeds of different planes. which airplane has a greater cruising speed
Answers
Answer:
50,350
is answer
Answer:
Step-by-step explanation:
Speed = rate = slope
Find slopes:
Table:
(10, 70)
(20, 140)
Speed = 7 km/min
Graph:
(6, 90) , (4, 60)
Speed = (90 - 60) / (6 - 4) = 30/2 = 15 km/min. the greater cruising speed
√6 rational or irrational
Answers
Answer:
it is rational i think
Step-by-step explana
Find the solution of this system of equations
-X + 8y = -35
-X - 9y = 50
Answers
Answer: (-5,-5)
Step-by-step explanation: The two lines meet up at (-5,-5)
Answer:
y = 5
x= 75 ( not confident about x)
pls help i am giving 33 points pls answer correctly
Answers
Answer: x^2
Step-by-step explanation: the lines mean that the number is gonna be positive, so basically its asking for x times x, which is x^2
Find the inequality represented by the graph.
Please help me!!!!!!!
Answers
Answer:
y ≥ -2x - 5
Step-by-step explanation:
HELP ASAP !! please i need urgent help
Answers
Answer:
Apply the rule
xmn = n√xm
to rewrite the exponentiation as a radical.
√m8
Step-by-step explanation:
please mark me as brainlest
Help me pls!! thanks <3
Answers
Answer:
It is graph A
Step-by-step explanation:
Answer: A it your answer.
Step-by-step explanation:
HELP ME PLEASE what is 80% of 40
Answers
32 is the correct answer. 40 times 0.8 because in decimal form, 80 percent equals 0.8:)
Answer:
32 80% of 40
Hope it is correct
If not I am sorry I tried my best
This homework hella hard i-
A group of friends went to lunch. Click on all the correct answers below according to the Letters A, B, and C.
A Their original bill cost $50.00, but they had a coupon for 20% off their meal. Find the discounted price (before tax and tip).
B A sales tax of 7% was added. What was the total amount including sales tax?
C The group chose to tip 20%. What is the total amount that their bill cost including tax and tip?
Answers
Answer:
A. 10.00, so total price is currently 40.00
B. 42.8
C. Total amount is 51.36
Step-by-step explanation:
20% of 50 is 10. Taking off 10% (your discount) would make it 40.
7% of 40 is 2.8. The total amount is now 42.8
20% (your tip) of 42.8 = 8.56.
42.8 + 8.56 = 51.36.
51.36 is your final cost.
Express the ratio 5 : 20 as a percentage.
Answers
Simplify the expression
9y+4-6y
Answers
Answer:
3y+4
Step-by-step explanation:
9y-6y=3y
Find the critical value Zc necessary to form a confidence interval at the level of confidence c=0.82 what does Zc=
Answers
Answer:
The z-critical values are:
[tex]z_{0.09}=-1.34\\\\z_{0.91}=1.34[/tex]
Step-by-step explanation:
The confidence level is, c% = 82%.
The significance level for the two tails are:
Left tailed:
[tex]\frac{\alpha}{2} =\frac{1-c\%}{2}[/tex]
[tex]=\frac{1-0.82}{2}\\\\=\frac{0.18}{2}\\\\\=0.09[/tex]
Right tailed:
[tex]1-\frac{\alpha}{2} =1-\frac{1-c\%}{2}[/tex]
[tex]=1-0.09\\\\=0.91[/tex]
The z-critical values are:
[tex]z_{0.09}=-1.34\\\\z_{0.91}=1.34[/tex]
*Use the z-table.
Write the equation that describes the line with slope = -8 and y -intercept = 2 in slope -intercept form (y=Mx+b).
Answers
Answer:
y=-8x+2
Step-by-step explanation:
The reason that is the answer is because the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept so y=mx+b would be y=-8x+2
The chief purpose of medieval fairs was to
Answers
it had many purposes includeing to entertain and to compete
Step-by-step explanation:
Answer:
Although the main objective of the Medieval fairs were trade and commerce, every fair contained some element of merry-making. Possibly starting from merchants trying to sell their goods, people were determined to attract the most customers to their stalls. ... Medieval tournaments sometimes coincided with Medieval fairs.
Step-by-step explanation:
Pls help show your work thx
Answers
Answer:
7x 4.9= 34.3lbs
Step-by-step explanation:
W: IM SO SORRY IF IM WRONG!!
-Have a blessed day
Answer: 7*4.9=34.3lbs
Step-by-step explanation:
Three tickets to a movie costs $37.50. If all tickets were the same price, what would be the cost of 2 tickets?
Answers
Answer:
$25 I believe
Step-by-step explanation:
You would take $37.50 divided by 3 and get $12.50 which is the price of 1 ticket
Then you would multiply $12.50 x 2 to get $25
Answer: $25.00
Step-by-step explanation: First you would divide $37.50 by 3 and get the price of one ticket which would be 12.50. Then you would multiply 12.50 by two and get $25.00.
Why is y=-12.5x have a proportional relationship
Answers
Answer:
A proportional relationship is any relationship that stays constant. since both sides of the equation do not change, this is a proportional relationship
Write the expression below in standard form.
3ℎ − 2(1 + 4ℎ)
Answers
Answer:
3h–2(1+4h)
multiple the bracket by –2
3h–2-8h
then subtract the veriables
3h–8h–2
–5h–2
the answer is –5h–2
3x+2y=4,6x+3y=2 Solve the systems of equations by substitution
Answers
Answer:
x = -8/3, y = 6
Step-by-step explanation:
3x+2y=4 so x = (4-2y)/3
6x+3y=2
substiute x into the second equation
6((4-2y)/3) +3y = 2
2(4-2y) + 3y = 2
8 - 4y + 3y = 2
-y = -6
y = 6
Replace y into the first equation
3x + 2 (6) = 4
3x +12 = 4
3x = -8
x = -8/3
Find three consecutive positive integers such that the product of the first
two is 22 less than 11 times the third. (Type the answers in order - from
lowest to highest) *
Answers
Answer: 10,11,12
Step-by-step explanation:
1st integer= x-1
2nd integer= x
3rd integer= x+1
(x-1)(x) = 11(x+1)-22
x^2-x = 11x+11-22
simplify to: x^2-12x+11=0
factor to: (x-11)(x-1)
x=11, 1
1 doesn’t work because that would make the 1st integer equal to 0, and 0 isn’t a positive integer. So the three integers are 10, 11, and 12.
Whats the CORRECT ANSWER giving brainliest to first correct 1
Answers
Answer:
C. 10 Miles
Step-by-step explanation:
All I did was count the units
Answer:
Its C.
Step-by-step explanation:
from (1,2) to (1,8) is 6, and from (1,8) to (5,8) is 4.
Find x so the distance between (x , 7) and (5, – 7) is 296
Answers
Answer:
Step-by-step explanation: lets have sex pls i need it
slope: -2, y-intercept: -3
Write an equation of a line in slope intercept form with the given slip and y intercept
Answers
Answer:
Step-by-step explanation:
The slope intercept form of a line is Y=MX + B where M is the slope and B is the y-intercept.
We know both of these so the equation turns into Y=1/2X-3