Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, [tex] y = mx + b [/tex], where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4} [/tex].
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
[tex] y = mx + b [/tex]
[tex] 1 = -\frac{3}{4}(6) + b [/tex]
[tex] 1 = -\frac{18}{4} + b [/tex]
[tex] 1 = -4.5 + b + 4.5 [/tex]
[tex] 1 + 4.5 = -4.5 + b + 4.5 [/tex]
[tex] 5.5 = b [/tex]
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01
Answer:
The claim is rejected
Step-by-step explanation:
Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).
Null hypothesis: [tex]H_0: \mu = 48500[/tex]
Alternate hypothesis :[tex]H_a : \mu \neq 48500[/tex]
n = 50
Since n is more than 30 .
So we will use Z test
x=43350
Standard deviation = 15000
[tex]Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42[/tex]
Refer the z table
p value = 0.00776
[tex]\alpha = 0.01[/tex]
p value < [tex]\alpha[/tex]
So, We are failed to accept null hypothesis
Hence The claim is rejected
5.7% interest on $375 18 month loan
solve the system of equations
y=x-2
x+y=10
Answer:
Step-by-step explanation:
x + x - 2 = 10
2x - 2 = 10
2x = 12
x = 6
y = 6 -2
y = 4
(6,4)
Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds
of peppermint sticks.
Part A: Write an equation using one variable that can be used to find the total number of pounds of white
chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)
Answer:
163
Step-by-step explanation:
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.
Answer:
Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!
The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.
The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.
This quiz was completed on k12, lesson 3.03.
The question is an illustration of equation of circles.
The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard becauseFrom the question, we understand that:
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung
[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard
[tex]\mathbf{B = 10ft}[/tex] --- the bull's eye
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart
Equation of the circle
First, we convert all units to feet
This is done by dividing inches units by 12
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]
Take LCM
[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]
[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]
[tex]\mathbf{d = 18\i n }[/tex]
[tex]\mathbf{d = \frac{18}{12}ft}[/tex]
[tex]\mathbf{d = \frac{3}{2}ft}[/tex]
Divide by 2 to calculate radius
[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]
[tex]\mathbf{r = \frac{3}{4}ft}[/tex]
The equation of the circle is represented as:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
In this case:
[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall
[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung
So, we have:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]
Evaluate the exponents
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Does Sasha’s dart land on the dartboard?
Yes her dart lands on the dartboard because
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard
Read more about equation of circles at:
https://brainly.com/question/23988015
someone help fast please
Answer:
c. supplementary angles
Step-by-step explanation:
What is the answer to -1x(-2)
Answer: 2x
Step-by-step explanation:
Answer:
2x
Step-by-step explanation:
Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D
how many numbers are between k and n
Answer:
n-k-1
Step-by-step explanation:
n is bigger than k. It asks BETWEEN k and n. so, since n is bigger than k, n-k. since it says BETWEEN, you subtract 1 after that
got it?
=)
oh and the reason i am strict about BETWEEN, is because when it said between, then its discluding k and n.
If it says FROM k and n, then you both include k and n, and that would result of adding 1 instead of subtracting 1.
If you have metamorphic rock and melt it, what does it become?
A. Magma
B. Minerals
C. Sedimentary Rock
D. Soil
Step-by-step explanation:
When metamorphic rock melts it turns into magma.
Determine the midpoint of the segment with endpoints of (-3, 8) and (-3,
-2).
Answer:
(-3,3)
Step-by-step explanation:
Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transformations could be used to support Maggle's claim? Select all that apply.
reflection over the side RS
a translation of 10 units to the right
a rotation of 90' clockwise about vortex Q
a vertical stretch of scale factor 2 through contor C
a dilation of scale factor 1 through conter
Answer: B,D,E. Step-by-Step explanation
Transformation that preserve lengths are rigid transformation.
The options that support Maggie's claim are:
reflection over the side RS a translation of 10 units to the right a rotation of 90' clockwise about vortex QAll transformations are rigid transformation, except dilation.
Dilation are of two types
StretchCompressEither of the two above, do not preserve length
This means that:
Options (d) and (e) will not preserve the lengths of the rectangle, because they represent dilation
Hence, the correct options that will preserve the length of the rectangle are: (a), (b) and (c)
Read more about transformation at:
https://brainly.com/question/13801312
Lucas owed his friend 12$. He got some money from babysitting and was able to pay his friend back $8. What is his balance now?
~find an equation to match this word problem and solve~
Plz i need it right now thanksss
Answer:
balance $4
Step-by-step explanation:
12 - 8 = 4
Answer:
$4
Step-by-step explanation:
$ = 12 - 8
12 - 8 = $4
is |-4| equal to |4|?
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
Find the slope of the line passing through the points (8,-4) and (-6,-3).
Anybody know this ?
Answer:
= -1/14
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 - -4)/( -6 -8)
= ( -3+4)/( -6-8)
1/-14
= -1/14
to be proportional, there must be a constant of proportionality
true or false
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
Which graph represent proportional relationship?
Answer:
C
Step-by-step explanation:
Non proportional graphs are non-linear and don’t go (necessarily) through 0,0
Proportional graphs are linear and always (eventually) cross through with 0,0
a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle
Answer:
medians in the triangle
Step-by-step explanation:
just took the test
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.
Answer:
65
Step-by-step explanation:
Please help me answer the question in the photo! Will give brainlist :)
Answer:
the answer is B because it make a 90* angle
The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answer:
The answer is "[tex]\bold{11000(0.83)^t}[/tex]".
Step-by-step explanation:
[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]
[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]
[tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]
12% of 72 is what number
Answer:
8.64
Step-by-step explanation:
8.64
[tex]12\;percent\;of\;72=8.64[/tex]
What is the greatest common factor of 22 and 11?
Answer:
ur answer is 11 hopefully that's help
how many students have used all three modes of transportation? solution please
Complete question is;
In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?
Answer:
4 students
Step-by-step explanation:
Let the number of students who used airplane be A
Let the number of students who used boat be B
Let the number of students who used train be C
Now, we are told that 17 rode plane.
Thus; A = 17
28 rode boat; B = 28
10 rode train; C = 10
12 rode airplane and boat; A ∩ B = 12
4 rode plane only; A' = 4
3 rode boat only; C' = 3
Total number of students; T = 40
Now, total number of students is represented by;
T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)
We don't have (B ∩ C) and (C ∩ A).
Now, the can be derived from the expression of C' which is;
C' = C - (B ∩ C) - (C ∩ A)
C' = C - [(B ∩ C) + (C ∩ A)]
We are given C' = 3 and C = 10
Thus;
3 = 10 - [(B ∩ C) + (C ∩ A)]
10 - 3 = [(B ∩ C) + (C ∩ A)]
7 = [(B ∩ C) + (C ∩ A)]
Rearranging the total number of students equation, we now have;
T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)
Where;
(A ∩ B ∩ C) is the number of students that used all three modes of transportation.
Thus, plugging in the relevant values;
40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)
40 = 36 + (A ∩ B ∩ C)
(A ∩ B ∩ C) = 40 - 36
(A ∩ B ∩ C) = 4
Suppose f(x)=2x−5 and g(x)=|−3x+1|. Find the value of f(x−2)
Answer:
2x-9
Step-by-step explanation:
f(x)=2x-5
to find f(x-2) we substitute x-2 in place of x
hence,f(x-2)=2(x-2)-5=2x-4-5
=2x-9
am i correct?
The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.
Answer:
The answer is
[tex] \huge y + 1 = 15(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 1 = 15(x - 3)[/tex]
Hope this helps you
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g.
Answer:
C = 2.75g
Step-by-step explanation:
The total cost of the gas purchased is the product of the price per gallon and the number of gallons.
Hope this helps. :)
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answer:
32km
Step-by-step explanation:
What is the value of the expression -7+-4
Answer:
-11
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -7 - 4
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 7 + 4 = 11
3) Finally, add the greater number's sign (-7) in front of the number.
-11
Hope this helps! :D