Answers
1. We have all the information we need here to set up our 'least-squares regression equation.'
Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:
b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...
Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:
a = y - bx = 70 - 0.12363(260) = 37.8562
The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!
2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.
Related Questions
Can someone help me with 5 and 6?
Answers
Answer:
5.
[tex]\left(8-6\right)^5\cdot \:2^{-4}+2^0[/tex]
Subtract 8 - 6 = 2:
[tex](2)^5\cdot \:2^{-4}+2^0[/tex]
Anything to the power of 0 is 1. (Except 0):
[tex]2^5\cdot \:2^{-4}+1[/tex]
Multiply:
[tex]2^{5-4}+1[/tex]
[tex]2^1+1[/tex]
[tex]2+1[/tex]
[tex]3[/tex]
6.
[tex]\frac{\left(9-1\right)^5}{\left(6+2\right)^3}[/tex]
Solve the brackets: 9 - 1 = 8 and 6 + 2 = 8:
[tex]\frac{8^5}{8^3}[/tex]
[tex]8^{5-3}[/tex]
[tex]8^2[/tex]
(or [tex]64[/tex] for exact value)
Help me please thanks
Answers
Answer: B. M= 6
Step-by-step explanation:
4(6-1)-5=2(6)+3
The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct
Which is the slope of the line that passes through 0,-4 and 3,-2
Answers
Answer:
The slope is 2/3
Step-by-step explanation:
Slope is the change in Y over the change in X.
ΔY / ΔX (That triangle symbol just means the change)
So subtract y2-y1 then x2-x1
-2-(-4) (the two negatives cancel out to a positive so you are left with -2+4)
then 3-0
-2+4= 2
3-0= 3
2/3
Answer: -2
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (-2 -4)/( 3-0)
= -6/3
=-2
Which statements are true regarding f(x)=10/x+5
? Check all that apply.
The domain of f(x) is (–∞, –5) U (–5, ∞).
The range of f(x) is (–∞, 2) U (2, ∞).
The x-intercept is at (–5, 0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
Answers
For the function [tex]\frac{10}{x + 5}[/tex] , we can say
The domain of f(x) is (–∞, –5) U (–5, ∞).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
What is a function?A mathematical relationship from a set of inputs to a set of outputs is called a function.
What is domain of a function?The domain of a function is the set of all possible inputs for the function.
What is range of a function?The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs
What is asymptote?An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.
What is intercept?An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis.To find the x-intercept we need to do y = 0To find the y-intercept, we need to do x = 0How to know the domain of function?The given function is [tex]\frac{10}{x + 5}[/tex]
Now, if x = -5 then the function becomes undefined.
∴ The domain of the function is all real numbers except -5
So, The domain of f(x) is (–∞, –5) U (–5, ∞).
So, option a is correct.
How to know the range of the function?Clearly, the range of the function includes all real numbers
So, option B is wrong
How to find the x-intercept?To find the x-intercept , we will have to solve f(x) = 0, which is not at all possible for this function.
So, option C is wrong
How to find the y-intercept?To find the y-intercept, we need to do x = 0So, putting x = 0 in the function we get f(x) = 2
So, the y- intercept is (0, 2).
So, option D is correct.
How to find vertical asymptote ?To find the vertical asymptote, we need to make the denominator = 0∴ x+ 5 = 0
∴ x = -5
So, there is a vertical asymptote at x = –5.
Hence option E is correct.
How to find the end behavior?We can see,
As x tends to -∞, x + 5 will also tend to -∞We know that a number divided by ∞ or -∞ becomes 0So, as x tends to -∞, f(x) will tend to 0
So, Option F is correct.
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Answer:
ADEF
Step-by-step explanation:
ADEF
You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?
Answers
Answer:
Hey there!
A good estimation is one dollar.
2 pairs of shoes for 14 dollars= 28 dollars
29-28=1 dollars.
Hope this helps :)
The price of a stock was $325 a share. The price of the stock went down $25 each week for 6 weeks what was the price of that stock at the end of 6 weeks?
Answers
Answer:325 - (25 x 6 ) = $175
Step-by-step explanation:
Find the size of an angle which is four times its complement.
Answers
Step by step explanation:
x° =4(90 - x)° Distribute the 4.
x° = 360° - 4x Add 4x to both sides
5x° = 360° Divide both sides by 5
x° = 72°
Write each expression in simplest form.
3d + 6d
2 + 55-4
2z+3-92-8
Answers
Answer:
9d
53
2z-97
Step-by-step explanation:
Its basically just simplification btw.
pingu!
Given AD = BC and AD parallel BC Prove ABCD is a parallelogram proof
Answers
Answer: the ABC is up illogic of the Paul Graham that makes the box square root to DC=BA
Step-by-step explanation:
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. given
2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram 7. parallelogram side theorem
Solve for the missing angle?
A) 32*
B)44*
C)61*
D)50*
Answers
Answer:
using question mark as reference angle
Base = 13
hypotenuse = 18
usimg trigonometric ratios
cos? = B/h
? = inverse(13/18) = 43.74 = 44°
Step-by-step explanation:
Here, we are given with two sides and the triangle is a right angled triangle. Here, we can use trigonometry to find the missing angle.
Note: Always remember that the perpendicular, base and hypotenuse changes with the reference angle.According to missing angle, cos theta can be used because we are given with base and hypotenuse. No need to find the perpendicular.
[tex] \cos( \theta) = \frac{base}{hypotenuse} \\ [/tex]
[tex] \cos( \theta) = \frac{13}{18} [/tex]
Now for finding the missing angle theta, inverse of cosine will be applied on the other side. Because, inverse of multiplication is division.
[tex] \theta = \cos {}^{ - 1} ( \frac{13}{18} ) [/tex]
[tex] \theta = \cos {}^{ - 1} (0.7222222222) [/tex]
[tex] \boxed{ \theta \approx \: 43.76174269 \degree}[/tex]
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Answer the questions below.
2.
(a) The area of a rectangular parking lot is 6370 m
If the width of the parking lot is 65 m, what is its length?
Answers
8. Aaron was riding his bicycle to school at a rate of 18 miles an hour down the street. As he got
closer to school, he gradually slowed his bike until he stopped at the bike rack.
Which of the graphs below best represents the change in Aaron's position over time?
Answers
Answer:
A.
Step-by-step explanation:
Aaron was riding forward, so the position graph should always be sloping upward, with his position always increasing away from home. Lastly, he slowed gradually as he got closer to the school, until he stopped at the bike rack, so the slope of X does not fit. Graph Z best fits this situation.
Answer: its Y
Step-by-step explanation: I did the study island
The triangle shown is rotated 90 counterclockwise about the orgin what are the new coordinates of point A
Answers
Answer:
its A (2, 1 ) → A'(- 1, 2 )
Step-by-step explanation:
took test :)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
What is rotation?Rotation can be stated as the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwiseIt requires rotation implies negative magnitudeA counter clockwise turns has a positive magnitude.here, we have,
given that,
Vertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)
Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
To know more about rotation
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Suppose 7 quarters, 4 dimes, 4 nickels, and 3 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the box?
Answers
First, let's get the total amount of coins inside the box.
7 quarters + 4 dimes + 4 nickels + 3 pennies = 18 total coins.
(7 quarters / 18 coins) * 100 = 38.89% chance of picking a quarter
(4 dimes / 18 coins) * 100 = 22.22% chance of picking a dime
(4 nickels / 18 coins) * 100 = 22.22% chance of picking a nickel
(3 pennies / 18 coins) * 100 = 16.67% chance of picking a dime
Since the quarters have a higher percentage of being picked, we can expect to draw $0.25 from the box
The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 52 M&M's.
A) State the random variable.
B) Argue that this is a binomial experiment.
Find the probability that:
C) 6 M&M's are brown.
D) 25 M&M's are brown.
E) All of the M&M's are brown.
F) Would it be unusual for a package to have only brown M&M's? If this were to happen, what would you think is the reason?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the scenario above :
A) State the random variable.
The random variable is the p opoertion of brown M&M's in a milk chocolate packet.
B.) Argue that this is a binomial experiment.
Each trial is independent for a total number of 52 trials with a set probability of success at 0.14
C) probability that 6 M&M's are brown:.
P(x) = nCx * p^x * (1-p)^(n-x)
p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6
P(x = 6) = 52C6 × 0.14^6 × 0.86^46
= 20358520 × 0.00000752954 × 0.00097035078
= 0.1487
D) P(x =25)
P(x = 25) = 52C25 × 0.14^25 × 0.86^27
= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245
= 0.00000000366
E) P(x = 52)
P(x = 52) = 52C52 × 0.14^52 × 0.86^0
= 1 × 3968.78758299*10^(-48) × 1
= 3968.78758299*10^(-48)
F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur
3≤7+g what does g equal?
Answers
Answer:
-4
Step-by-step explanation:
Solve this like a normal equation. Pretend the ≤ is an equal sign. Then isolate the variable. Subtract 7 from both sides, and that will give you -4
CE is an angle bisector of angle ACB.
If m angle ACE = 2x - 15 and m angle ECB = x +5,
determine the value of x.
Answers
Answer:
x = 20
Step-by-step explanation:
[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]
[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]
The value of x from the angle bisector is: x = 20
How to find the value of the angle bisector?Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.
Thus, we can say that:
∠ECB = ∠ACE
Thus:
x + 5 = 2x - 15
2x - x = 15 + 5
x = 20
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which decimal is less than 0.8 and greater than 0.02
Answers
Answer:
0.02<x<0.80
0.4
Step-by-step explanation:
0.02 is equal to 2/100 and 0.8 is equal to 80/100
so you could really choose any number between 0.03 and 0.79
Answer:
Less than 0.8 and greater than 0.02
0.8 > a > 0,02
There are many decimals:
0.7
0.67
0.6
0.5
0.4
0.3
0.2
0.1
0.023
0.021
and many others
Please help. Don’t understand this math problem
Answers
Answer:
-24r + 56
Step-by-step explanation:
To find the area of this rectangle we multiply width and length
8 × (-3r + 7) = -24r + 56
Find the sum of the squared residuals for each potential line of fit, and then determine which potential line is the true line of best fit. Equation 1 Square of residual .28 .167 .19 Equation 2 Square of residual .005 .110 .09 Equation 3 Square of residual .125 .125 .26 Equation 4 Square of residual .212 .009 .08 Question 8 options: Equation 4 Equation 1 Equation 3 Equation 2
Answers
Answer: Equation 2
Step-by-step explanation:
Equation 1 Square of residual .28 .167 .19
Sum of Square Residual :
( .28 + .167 + .19) = 0.637
Equation 2 Square of residual .005 .110 .09
Sum of Square Residual :
(.005 + .110 + .09) = 0.205
Equation 3 Square of residual .125 .125 .26
Sum of Square Residual :
( .125 + .125 + .26) = 0.51
Equation 4 Square of residual .212 .009 .08
Sum of Square Residual :
( .212 + .009 + .08) = 0.301
Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.
You had $199, but you are spending $3 each day. What algebraic expression models this situation?
Answers
Answer:
y=199-3x
Step-by-step explanation:
you ave 199 and 3 pper day so is considered each day and whatever it equals it will be y
Answer:
A 199 -3d
Step-by-step explanation:
Plz choose mine as brainliest
I NEED HELP ASAP. I need someone who can help with the rest of the questions
Answers
Answer:
(6,0)
Step-by-step explanation:
X-value:
10-8=2
8-2=6
Y-value
4-2=2
2-2=0
Assuming that a local cost cutter provides cuts perms and hair styling service and you fix cost are $120,000 in the variable cost or 40% of the sales revenue last year’s revenue total of $250,000. What is the break even points in sales dollars?
Answers
Answer:
Unit selling price
$7 $9 $7
Unit variable costs
(4) (5) (1)
Unit contribution margin
$3, $4, $6
With monthly fixed costs of $306,000, the company sells two units of A for each unit of B and three units of B for each unit of C.
if the image of (x,y)(x-1,y+2) is a (-5,2)what is the pre-image ,or a?
Answers
Answer:
the pre-image is ( -4, 0)
Step-by-step explanation:
Simply apply the appropriate transformation to each coordinate by using the information they give you:
x was converted via the transformation x -1 leading to the value -5,
so we write:
x - 1 = -5
and solve for x:
x = -5 + 1 = -4
y was converted via the transformation y + 2 leading to the value 2, so we write:
y + 2 = 2
and solve for y:
y = 2 - 2 = 0
Therefore the pre-image of the point is: ( -4, 0)
What is the equation shown in standard form of the line shown on the graph?
O x = 4
O y = 4
O x - y = 4
Answers
Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
Because no matter what value x is, y is always 4
Please Help A) Find the perimeter B) The area of the rectangle
Answers
Answer:
A) 36.2m B) 70m
Step-by-step explanation:
5.6m + 5.6m = 11.2 m
12.5 + 12.5= 25 11.2 + 25 = 36.2m
Length x width equals area
12.5m = length and 5.6m= width
multiply 12.5 x 5.6= 70m
What is the value of the digit 5 in the number 4.105
Answers
Answer:
thousanths place
Step-by-step explanation:
Answer:
4.105
5-hundredths place if I’m correct
______is 15% of $84,652?
Answers
Answer: $12,697.80
Step-by-step explanation:
To find 15% of $84,652, you want to multiply them together.
0.15×84,652=12,697.80
Now, we know that $12,697.80 is 15% of $84,652.
Which subset does 22 belong in
Answers
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error. 12 cartons(÷22.20) $22.22(÷22.20) Unit price = $0.54 $0.54(7) = $3.78
Answers
Answer:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Step-by-step explanation:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answer:
Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.