use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150
Answer:
See Explanation
Step-by-step explanation:
This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.
Solving (a): The equation
Pick any [tex]two[/tex] [tex]points[/tex]on the [tex]trend[/tex] line
[tex](x_1,y_1) = (30,40)[/tex]
[tex](x_2,y_2) = (80,70)[/tex]
[tex]y = 0.6x + 22[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{70 - 40}{80-30}[/tex]
[tex]m = \frac{30}{50}[/tex]
[tex]m = 0.6[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0.6(x - 30) + 40[/tex]
[tex]y = 0.6x - 18 + 40[/tex]
[tex]y = 0.6x + 22[/tex]
Solving (b): y, when [tex]x = 21[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]x = 21[/tex]
[tex]y = 0.6 * 21 + 22[/tex]
[tex]y = 12.6 + 22[/tex]
[tex]y = 34.6[/tex]
Solving (c): x when [tex]y=150[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]y=150[/tex]
[tex]150 = 0.6x + 22[/tex]
Collect like terms
[tex]0.6x = 150 -22[/tex]
[tex]0.6x = 128[/tex]
Solve for x
[tex]x = \frac{128}{0.6}[/tex]
[tex]x = 213.3[/tex]
help uhhhhhh please ye
Answer:
d= 90 degrees
e= 66 degrees
f= 114
Step-by-step explanation:
D is 90 because the measure of the angle on the line is 180 and it shows that the other angle is 90 and 180- 90= 90. E is 66 because opposite angles are congruent. F is 114 because they lie on a straight line which has the measure of 180 and 180- 66= 114
Answer:
d = 90°
e = 66°
f = 114°
Step-by-step explanation:
d = 90°
e = 66°
Reason : Vertically opposite angles
Angles f and 66° are in the linear pair.
f + 66° = 180°
f = ( 180 - 66 )°
f = 114°
Solve the problem please
Answer:
3x + 2x + 4x =180
9x = 180
x = 20
4x 2x 3x
= 4 ×20 = 2× 20 = 3× 20
=80 = 40 = 60
If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio bananas to all fruit?
Answer:
4:24
Step-by-step explanation:
12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24
hope that helps!!
Answer: 1 : 6
Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .
I need help pls show work dont just answer for the pts..
Answer:
volume = 24,501.42
Step-by-step explanation: the way i did it:
first find the radius, 34 divided by 2 = 17π
then multiply the radius by itself 17 x 17 = 289
after, multiply 289 by 27 to get 7,803
then multiply 7803 by 3.14 to get 24,501.42
Hope this is correct!
(p.s.) if you do it on a calculator and use the pi symbol (π) the answer would be 24,513.84
What is the slope of the line that passes through (-2, 3) and (2, 11)
Answer:
2
Step-by-step explanation:
y2-y1/x2-x1
11-3/2-(-2)
8/4
2
What is the radius of a sphere with a volume of 90581 In3, to the nearest tenth of an
inch?
Answer:
27.9
Step-by-step explanation:
in which of the expression below does n=3 ? select all that apply.
Answer:
B and C
if n=3 then 5ⁿ=5³=5×5×5=125
n³=3³=3×3×3=27
hope it helps :)
a. 4.5 square 3
b.9
c. 9 square 2
b 9 square 3
Forensic computer investigators must _____.
find a way to get the evidence, no matter what it takes
develop new software to accomplish the investigation
render opinions based on demonstrable facts
bring in the computer and the criminal when they come to court
Answer:
D.) Bring in the computer and the criminal when they come to court.
It came in my test.
ASAP ILL GOVE 10 POINTS
Ashwin has equal numbers of classical songs and pop
songs loaded on his personal music player. He has it set to
play songs on a random shuffle. Suppose Ashwin is
designing a simulation that could be used to estimate the
probability that the next three songs to play are all pop
songs
Which simulation design could Ashwin use to estimate the probability?
A Number cube
Let 1 = classical
Let 2 = pop
Ro
be three times. Repeat
B. Number cube
Let even number = classical
Let odd number = pop
Rollcube three times. Repeat
C. Random digits
Let 1. 2. 3 classical
Let 4, 5,0 = pop
Select three random digits. Repeat
D. Random digits
Let 1, 2, 3, 4,5 = classical
Let 6, 7, 8, 9 pop
Answer:
B
Step-by-step explanation:
Took the test on AP3X
Answer:
B. Number cube
Let even number = classical
Let odd number = pop
Rollcube three times. Repeat
Step-by-step explanation:
Test approved
20 points answer pls
Answer: 0.03, 45.6
Step-by-step explanation: for the first question, move the decimal point two points to the right. 0.03 is the first answer. Next, move the decimal point two points to the left, you will get 45.6
Please Help me with this question!! I have a time limit
The Garcia family drives 3/4 of the distance to their grandparent's house
in 3/4 hour.
How many hours will it take
to drive to their grandparent's house at the same rate?
a= 1
b=9/16
c=1 and 7/9
Answer:
a=1
Step-by-step explanation:
because 3/4 hour is 45 minute and it takes 4/4 distance to their grandparents hous ein 4/4 hour so 45÷3=15, 15×4=60 which is 1hour
The Answer is A: 1 hour
Step-by-step explanation:
since they can drive 3/4 the distance in 3/4 hours, they can also drive 1/2 the distance in 1/2 hours and so on. If they want to visit the grandparent's house, they need to drive 4/4 the distance which is equivalent to 1 so it will take 1 hour for them to go to the house at the same rate.
A Tip From Me To You:
sometimes the question tries to trick you to make you overthink it so don't overthink it, try to just solve it simply.
Have a great day! <3
Jason used the commutative property to write an expression that is equivalent to 3 4 + 5.6b + 9. 3 4 + 5.6b + 9 is equivalent to 9.0 + 56b + 3.4. Is Jason’s work correct?
Answer:
Yes, Jason's work is correct.
Step-by-step explanation:
When you use the commutative property, you can swap the numbers position and still get the same answer.
Hope this helps!!
Answer:
The answer is A No, he changed the terms
Step-by-step explanation:
A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
a:119j
b:588j
c:100j
d:196j
find the area of the irregular figure 3 in 3 in 4 in 4 in 6 in 8 in
Answer:
65 in
Step-by-step explanation:
What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306
Step-by-step explanation:
h(-3)=6×2 - 2(-3) + 12
12+6+12
=30
x-7y=4,5x-4y=-11 solve system of equations by substitution
multiply 1st eqn by 5
so it can be canceled and again u get value of y will be 1 and sagain put tha value of y in eqn 1 so that u can get the value of x
Solve for x. Round your answer to the nearest tenth.
6.8
x
8.1
X
type your answer...
Step-by-step explanation:
[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]
9 is added to a number and multiplied by 7. The result is 84.
Answer:
12 because 9+3 = 12 12 • 7 = 84Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!Answer:
the number is 3
Step-by-step explanation:
X= the number
7(x+9) = 84
7x+63 = 84
7x = 21
x=3
Check:
7(3+9) =84
7 x12 = 84
84=84
Find the solution of this system of equations. Separate the x- and y-values with a comma. x= -8+y -3x – 3y = 24
Answer:
(-8,0)
Step-by-step explanation:
X=-8+y equation 1
-3x-3y=24 equation 2
-3(-8+y)-3y=24 sub x value in equation into x value of equation 2
24-3y-3y=24
-6y=0
y=0
solve for x
x=-8+y
x=-8+0
x=-8
check answer:
-3x-3y=24
-3(-8)-3(-0)=24
24-0=24
24=24
SOMEONE PLS HELP ME
I ATTACHED A PIC
Answer:
See solution below
Step-by-step explanation:
The centre of the circle will be the midpoint of both coordinate
Given the coordinates P(-7, -10) and Q = (3,2)
X = x1+x2/2
X = -7+3/2
X = -4/2
X = -2
Y = y1+y2/2
Y = -10+2/2
Y = -8/2
Y = -4
Hence the centre is at (-2, -4)
The distance between the coordinates will be the diamter
PQ =√(3+7)² + (2+10)²
PQ =√(10)² + (12)²
PQ = √100+144
PQ =√244
radius = √244/2
Get the equation
(x-a)² + (y-b)² = r²
(x -(-2))² + (y-(-4))² = (√244/2)²
(x +2)² + (y+4)² = (244/4)
(x +2)² + (y+4)² = 61
This gives the required equation
Kira can type 72 words in 8 minutes.
What is her rate in words per minute?
Answer:
9
Step-by-step explanation:
No.of words in
- 8 minutes = 72
- 1 minute = 72/8
= 9
Answer:
9 words per every minute
Step-by-step explanation:
Theres 72 words in 8 minutes, so to get her words to minute, ratio you do 72 divided by 8 to get 9, words per minute.
1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat
Answer:
Step-by-step explanation:
Option C is the correct answer
PLZ HELP I MAKE YOU BRAINILY!!!!!
Answer:
755.3
Step-by-step explanation:
The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.
The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.
Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.
Answer:
I think the answer is B: 755.3^3.
Step-by-step explanation:
Don't hate me if I'm wrong please!!!
To find the volume of multiple figures, just find the volume of each of them and add them together.
Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504
Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2
504 + 251.2 = 755.2
Since this is the closest answer, the answer is B: 755.3^3.
Please mark me as brainliest!!!!!
PLZZ HELP MEEEE PLZ PLZ I’LL MARK AS BRAINLIESTTT!!!!
Answer:
The object is moving at a constant speed
Step-by-step explanation:
will name the brainliest!!
Answer:
c = 29
Step-by-step explanation:
Since the opposite side of the given angle 41, is given and the hypotenuse has to be found out, we will use the Sin ratio
Sin(41) = [tex]\frac{19}{c}[/tex]
=> To isolate the c all by itself first multiply c on both sides of "="
Sin(41) * c = 19
=> Now divide each side by Sin(41)
c = [tex]\frac{19}{Sin(41)}[/tex]
c = 28.96 or 29
Hope this helps!
X A padlock's combination is five digits long using the digits o through 9. 0/4 Numbers can repeat within the combination. What is the probability that my combination has all even numbers in it (for example 22222 or 86840)? 0.01 w 0.03 0.05 Х O 0.1 Correct answer 0.03 OFC mooton Monday or Tuesday at 3PM 4PM
Answer:
Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.
If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.
The number of permutations of n objects taken r at a time is determined by the following formula:
P(n,r)=n!(n−r)!
Example
A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?
A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:
P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040
In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:
C(n,r)=n!(n−r)!r!
Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?
Step-by-step explanation:
Help please I need this
Answer
y=1/3x+1
Step-by-step explanation:
to be perpendicular, the slope has to be the opposite reciprocal
Which inequality is equivalent to −<7 - y < 7 ?
Answer: you didn't provide anything for us to answer
Step-by-step explanation: