Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 4:
The line of regression is [tex]\hat y = a+bx[/tex] where:
[tex]a=\overline y-b \overline x[/tex]
[tex]b=\frac{r*s_y}{s_x}[/tex]
We are given that [tex]\overline y=75[/tex], [tex]s_y=8[/tex], [tex]\overline x=280[/tex], [tex]s_x=30[/tex], and [tex]r=0.60[/tex], therefore our slope, [tex]b[/tex], is:
[tex]b=\frac{r*s_y}{s_x}[/tex]
[tex]b=\frac{(0.60)(8)}{30}[/tex]
[tex]b=0.16[/tex]
Therefore, the slope of the regression line is 0.16, which can be used along with the values of [tex]\overline y[/tex] and [tex]\overline x[/tex] to find the constant [tex]a[/tex]:
[tex]a=\overline y-b \overline x[/tex]
[tex]a=75-(0.16)(280)[/tex]
[tex]a=30.2[/tex]
This means our final regression line is [tex]\hat y = 30.2 + 0.16x[/tex]
Problem 5:
The slope, [tex]b=0.16[/tex], means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.
Problem 6:
The y-intercept (or constant), [tex]a=30.2[/tex], means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.
Problem 7:
[tex]R^{2}=(0.60)^{2}=0.36=36\%[/tex]
Problem 8:
The fraction of variability (aka. coefficient of determination), [tex]R^2[/tex], means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.
Which summation formula represents the series below?
13 + 9 + 5 + 1
∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.
What is Series?A series is the cumulative sum of a given sequence of terms.
The given expression is 13 + 9 + 5 + 1
The terms of this series are 13,9,5,1
It is an AP. Here, first term is 13 and common ratio is -4.
The nth term of an AP is
aₙ=a+(n-1)d
=13+(n-1)(-4)
=13-4n+4
=17-4n
The summation formula of an Arithmetic progression is
∑aₙ
The value of n is 4 because the number of term is 4. So, the summation formula is
∑(17-4n)
Hence ∑(17-4n) is the summation formula represents the series
13 + 9 + 5 + 1.
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What is the solution to 2 x minus 8 less-than 12?
Answer:
X less than 10
Step-by-step explanation:
The problem is set up 2x - 8 < 12
So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10
Answer:
x< or = 9
Step-by-step explanation:
if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.
2(10)-8=12 but
2(9)-8=10
I really hope this helps, i am sorry if i misunderstood the question....
Rick has a printer that can print a job in 8 minutes. When he uses his son's smaller printer at the same time, he can complete the same job in 6 minutes. How long does it take his son's printer to complete the job by itself? (In minutes.)
Answer:
maybe 2 minutes?
Step-by-step explanation:
not sure im so sorry!
What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
please I NEED HELP thank u, if u want to spam my answer then I will report u thank u.
Shelby asked 15 friends to name their favorite ice-cream flavor.
If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is either strawberry or vanilla?
Answer:2/5
Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5
Emily is solving the following System of equations using Substitution:
y=3x-4
y=2x+1
Her steps are shown below.
Part A
Click on the first step in which Emily made an error.
3x-4=2x+1
5x-4=1
5x=5
x=1
y=3(1)-4=3-4=-1
(1,-1)
Part B
Explain what Emily did wrong and then what she should have done to make sure it was the correct answer.
Answer:
Emily is solving the following system of equations using substitution:
y = 3x - 4
y = 2x + 1
Part A:
After substituting y's values:
3x - 4 = 2x + 1
What she did:
3x - 4 = 2x + 1
3x + 2x - 4 = 1
5x - 4 = 1
What she should have done:
3x - 4 = 2x + 1
3x - 2x - 4 = 1
x - 4 = 1
Part B:
This rule has not been followed: Sign changes when numbers shift from left to right of ' = 'sign.
Emily did not changed the sign of the number, 2x from + 2x to - 2x when it was moved from the right side to the left.
[tex][/tex]
please answer to the best of your ability
Answer:
C:reflection accross the x axis
Step-by-step explanation:
On Saturday, a gymnast walked a distance of x miles. On Sunday, the gymnast walked half the distance that he walked on Saturday. Which expression represents the total number of miles the gymnast walked on Saturday and Sunday?
Answer: See explanation
Step-by-step explanation:
From the information given, we are told that on Saturday, the gymnast walked a distance of x miles while on Sunday, the gymnast walked half the distance that he walked on Saturday.
Therefore, the expression that represents the total number of miles the gymnast walked on Saturday and Sunday will be:
= x + (½ × x)
= x + ½x
= 1½x or 1.5x
20 points question: Please Help!!!! Need Explanations as well. No Links!
Answer: C
Because if you put then in order(1,3,3,4,9) you will see that once you cross them off the last one will be 3 which would be the median and the answer.
PLEASE HELO PRE CALC PEOPLE
Use these parametric equations to answer the question below.
x=t-2
y=t^2
The order pair associated with t-value of -1 is?
Answer:
The ordered pair associated with a t-value of -1 is (-3, 1).
Step-by-step explanation:
Substitute the t-value, or -1, into both of the equations to find the pairs.
x = t - 2
x = (-1) - 2
x = -3
y = t^2
y = (-1)^2
y = 1
The ordered pair associated with a t-value of -1 is (-3, 1).
The mean age of 6 women in an office is 24 years old.
The mean age of 9 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
26
Step-by-step explanation:
PLEASE HELP ME, IM TIMED, ILL GIVE BRAINLIEST AND 50 POINTS
i can't see the 4th option but from what i can see, i'd say 20 (b).
i didn't do math for this, i just used context clues.
the hypotenuse is always longer than either of the sides, so if the hypotenuse is 29, then the only logical solution is 20 feet. every other option is >29.
Answer:
Hello! answer: 20 feet
Step-by-step explanation:
29 × 29 = 841 21 × 21 = 441 841 - 441 = 400 √400 = 20 20 × 20 = 400 therefore 20 is the answer Hope that helps!
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
Answer:
A
Step-by-step explanation:
PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM
Answer:
-3x is the answer
Step-by-step explanation:
Answer:
-3x
Hopefully this helps lol
What Percent Of the Whole is shaded?
Answer:
70%
Step-by-step explanation:
there is 10 and 7 of them are filled which is 7/10 since we are dealing with percentages we need the bottom to be 100 so 70/100 or 70%
- Gage Millar, Algebra 2 tutor
Answer:
Below
Step-by-step explanation:
I would say 70%
It is split up into 10 parts, 7 are shaded,
7 to 10 would be as 70% is to 100%
1. Find 2 arithmetic means between 12 and 21.
What is the quotient of 1.44 x 10°8and 6.0 x 105 expressed in scientific notation?
Delta math
Answer:
2.4 x 10²
Step-by-step explanation:
1.44/6 x 10^8-5 = .24 x 10³ which is 240
D o I p l a y M i n e c r a f t o r, F o r t n i t e?
Answer:
mine craft
Step-by-step explanation:
PT= 4x+6 and TQ=9x-9 find the values of x and PT . Please help me I’m stuck
The length of a rectangular map is 37,5 cm and the perimeter is 125 cm. Find the width
Let the length of the map be L Cm.
Hence, L = 37.5 Cm
Now, Let the width of the map be B.( Breadth )
Now, we know that perimeter of a rectangle
= 2 ( L + B )
According to the question–
125 = 2 ( L + B )
{ Putting the value of L we get }
Or, 125 = 2 ( 37.5 + B )
Or, 125/2 = 37.5 + B
Or, 62.5 = 37.5 + B
Or, 37.5 + B = 62.5
Or, B = 62.5 – 37.5
Or, B = 25 Cm
Therefore, the Width of the rectangle is 25 Cm.
Solve the equation
2x2 + 8x – 1 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Step-by-step explanation:
[tex] {2x}^{2} + 8x - 1 = 0 \\ {x}^{2} + 4x - \frac{1}{2} = 0 \\ {x}^{2} + 4x + {( \frac{1}{4} )}^{2} - \frac{1}{2} - { (\frac{1}{4} )}^{2} = 0 \\ {(x + \frac{1}{4}) }^{2} - \frac{9}{16} = 0 \\ {(x + \frac{1}{4}) }^{2} = \frac{9}{16} \\ x + \frac{1}{4} = ±( \frac{ 3}{4} ) \\ x = \frac{1}{2} \: or \: - 1[/tex]
Answer:
Step-by-step explanation:
divide each term by 2 to begin with x²
x² + 4x - 1/2 = 0
now add 1 to each side
x² + 4x = 1/2
now divide 4 in half and square the result and add it to each side
x² + 4x + 4 = 1/2 + 4
(x + 2)² = 9/2
Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.
Part A
Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.
Enter your equation in the box.
Answer: 60=5(7+x)
X= 5
Step-by-step explanation:
60 is the total amount of songs so it’s going to be divided into 5 different playlists. And those playlists are going to have 7 older songs plus the amount of new songs.
I will mark you brainlist!
please help! picture attached
Answer:
you on iready?
Step-by-step explanation:
Answer:
Can you reattac the picture because I can’t see it then I will be able to help u
Step-by-step explanation:
Please help!!!!!!!!!!ASAP!!!
In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC
Answer:
Its D!
Step-by-step explanation:
all you have to do for the triangles to be simialr is they have to add up to the same number.
In triangle abc ma=70 and mb=35 add those gives you 105
and in triangle mnp and M<N =70 which also gives you 105
since u get the same answer their similar!
Hope this helps!
A package if sugar cubes has a length of 7 cm a height 3 cm and a with of 12 cm what is the volume of the pagage
Answer:
252 cm^3
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula:
V = lwh
We can substitute in the values to get:
V = 7 x 12 x 3
V = 252 cm^3
A circle has a diameter of 8 meters. What is the circumference? Use 3.14 for Pi. Show your work.
Answer: 50.27 m
Step-by-step explanation:
[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]
Hope this helped! ;)
The circumferance of the given circle is C = 8π.
What is a circle?A circle is a shape consisting of all points in a plane that are at a constant distance from a given point called the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.The general form of the equation of a circle is:x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is -(x - x₁)² + (y - y₁)² = r²
The parametric equation of circle can be written as -x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y = - k + rsinθ.
Given is a circle that has a diameter of 8 meters.
We can write the circumferance of the circle as -
C = 2πr
C = 2π (d/2)
C = 2π (8/2)
C = 8π
Therefore, the circumferance of the given circle is C = 8π.
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What is the total surface area of the pyramid?
Answer:
16.64911
Step-by-step explanation:
Answer:
area of the regular pyramid is =T.S.A=12pl+B is the formula for this question
Nina purchased 4 pounds of strawberries for a total of $6.40.How much did she pay for one pound of strawberries?
Answer:
1.6$
Step-by-step explanation:
6.4/4=1.6