The value of the dependent variable yˆ at x=0 is approximately 8.11.
To determine the value of the dependent variable yˆ at x=0, we need to use the regression line equation yˆ=b0+b1x and substitute x=0 into the equation.
From the given data, we have the following values:
Price in Dollars: 31 38 42 44 46
Number of Bids: 3 4 6 7 9
To find the regression we need to calculate the slope (b1) and the y-intercept (b0).
First, let's calculate the mean of the Price in Dollars (x) and the mean of the Number of Bids (y):
Mean of x (Price) = (31 + 38 + 42 + 44 + 46) / 5 = 40.2
Mean of y (Number of Bids) = (3 + 4 + 6 + 7 + 9) / 5 = 5.8
Next, we need to calculate the deviations from the means for both x and y:
Deviation of x = Price - Mean of x
Deviation of y = Number of Bids - Mean of y
Using these deviations, we calculate the sum of the products of the deviations:
Sum of (Deviation of x * Deviation of y) = (31 - 40.2)(3 - 5.8) + (38 - 40.2)(4 - 5.8) + (42 - 40.2)(6 - 5.8) + (44 - 40.2)(7 - 5.8) + (46 - 40.2)(9 - 5.8) = -12.68
Next, we calculate the sum of the squared deviations of x:
Sum of (Deviation of x)^2 = (31 - 40.2)^2 + (38 - 40.2)^2 + (42 - 40.2)^2 + (44 - 40.2)^2 + (46 - 40.2)^2 = 165.6
Now, we can calculate the slope (b1) using the formula:
b1 = Sum of (Deviation of x * Deviation of y) / Sum of (Deviation of x)^2
b1 = -12.68 / 165.6 ≈ -0.0765
Next, we can calculate the y-intercept (b0) using the formula:
b0 = Mean of y - b1 * Mean of x
b0 = 5.8 - (-0.0765) * 40.2 ≈ 8.11
So the regression line equation is yˆ = 8.11 - 0.0765x.
To find the value of the dependent variable yˆ at x=0, we substitute x=0 into the equation:
yˆ = 8.11 - 0.0765 * 0 = 8.11
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If the lines in a system of equations have different slopes and the same y-intercept, how many solutions does the system have?
Answer:
289819
Step-by-step explanation:
Perform the indicated operation.
f (x) = x2 − 4 g(x) = −3x Find f (g(x))
Answer:
-6x-4
Step-by-step explanation:
2(-3x)-4
-6x-4
r F(x) is your frame function since it is on the outside, when every you get to an x in the F function you plug in the G function then solve as normal.
I need the answer as soon as possible
Answer:
Reflection on the Y axis.
Step-by-step explanation:
(I cannot see the rest of the answers but I am assuming reflection is one of them). The shape reflects perfectly on the Y axis.
(2x2)+(6x 109)
I don’t know how to do this
Answer:
658
Step-by-step explanation:
4+654=658.........
Answer:
658
Step-by-step explanation:
First solve 2x2, which is equal to 4.
Then solve 6 x 109 which is equal to 654.
Now add 4 to 654, and you'll get 658
9. An inequality is shown
2x - 5 < 33
Select all the values that are solutions to this inequality
a. 28
b. 26
C. 19
d. 18
e. 12
PLEASE HELPP!!
X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
For a National Junior Honor Society Induction Celebration, Ahmed is renting tables and chairs. He wants to have only tables for 4 and tables for 6. The total number of people that can be seated in the school cafeteria with these tables is 160. Which equation represents this situation? (hint draw a picture) *
Answer:
i am not smart
Step-by-step explanation:
HELP ASAP DUE IN 20 MINUTES
Answer:
x = 3
< D = 26
< E = 54
Step-by-step explanation:
I did the math
um dado de 6 faces numeradas de 1 a 6 e lançado de maneira aleatória deseja-se que ele caia com uma face para cima . Qual a probabilidade de se obter a face com um dos valores desejados
Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer: 120cm
Step-by-step explanation:
It takes lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend from lucas' house
Answer:
Step-by-step explanation:
It takes Lucas 3 hours to cycle from his home to his friend’s village:
3 hours • (a certain speed) = distance in miles
If he travels 5mph slower, it will take him 1.5 hours longer:
4.5 hours • (the same speed - 5mph) = the same distance in miles
4.5 • (x - 5) = 3x
4.5x - 22.5 = 3x
1.5x = 22.5
x = 15mph
3hours • 15mph = 45 miles
Cuánto costará cercar una finca cuadrada de 14 metros de lado a razón de $150 el metro lineal de alambrada
Answer:
$ 2100
Step-by-step explanation:
De la pregunta anterior:
1 metro de cerca de alambre = $ 150
14 metros = x
Cruz multiplicar
x = 14 × $ 150
x = $ 2100
Por lo tanto, costaría $ 2100 por una cerca de 14 metros
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 11) 40 2 1 r 0 -4 -3 -2 +1 0 1 2 3 -1 -2 -3 -4 Slope = y-intercept =
Answer:
55555555
Step-by-step explanation:
Prism A is similar to Prism B. The volume of Prism A is 540 cm.
What is the volume of Prism B? (determine scale factor first)
Answer:
1080
Step-by-step explanation:
540x2/ or 540 + 540
Use distributive property to simplify the following expression then combine like
terms: -5(a-6)+6a. Then identify the coefficient for the simplified expression.
Your answer
Answer:
Step-by-step explanation:
distribute:
-5a+30+6a
simplify:
a+30
not sure what u mean by coefficient, the coefficient of a is 1.
Answer: a + 30
Step-by-step explanation:
Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a
By combining like terms, -5a+6a = a
Therefore, this expression = a + 30
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many leaves are on the tree
Percentage of yellow leaves on a tree during Autumn = 40%
Percentage of green leaves on a tree during Autumn = 24%
Percentage of half yellow leaves on the tree during Autumn :
[tex] = \tt100 - 40 + 24[/tex]
[tex] = \tt 100 - 64[/tex]
[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%
Number of half yellow leaves on the tree = 36%
Let the total number of leaves on the tree be x.
Which means :
[tex] = \tt36 \% \: of \: x = 72[/tex]
[tex] = \tt \frac{36}{100} \times x = 72[/tex]
[tex] = \tt \frac{36 \times x}{100} = 72[/tex]
[tex] = \tt \frac{36x}{100} = 72[/tex]
[tex] = \tt 36x = 72 \times 100[/tex]
[tex] = \tt36x = 7200[/tex]
[tex] = \tt x = \frac{7200}{36} [/tex]
[tex] \color{plum} = \tt \: x = 200[/tex]
Thus, total number of leaves on the tree = 200
Number of yellow leaves on the tree :
[tex] = \tt40 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{40}{100} \times 200[/tex]
[tex] = \tt \frac{40 \times 200}{100} [/tex]
[tex] = \tt \frac{8000}{100} [/tex]
[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]
Thus, total number of yellow leaves on the tree = 80
Number of green trees on the tree :
[tex] = \tt24 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{24}{100} \times 200 [/tex]
[tex] = \tt \frac{24 \times 200}{100} [/tex]
[tex] = \tt \frac{4800}{100} [/tex]
[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]
Thus, the total number of green leaves on the tree = 48
Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.
▪︎Therefore, the total number of leaves on the tree = 200
The number of leaves is on the tree is 200.
Given that,
There is 40% of the leaves that should be yellow.24% of them should be green.And, the remaining should be 72 leaves that represent half yellow.Now as per the above explanation:
The percentage of half yellow trees should be= 100 - 40 + 24
= 100 - 64
= 36
Here we assume the number of leaves on the tree be x
So,
36% of x = 72
x = 200
Therefore we can conclude that the number of leaves is on the tree is 200.
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Tucker got in his car and started driving toward his grandmother's house. After driving for 1 hour and 30 minutes, Tucker took a break for 40 minutes to have a snack. Then Tucker drove 1 hour and 40 minutes and finally arrived at his grandmother's house at 6:05 P.M. What time did Tucker start driving?
Answer: He started driving at 2:15 P.M.
Step-by-step explanation:
Answer:
3:05 P.M
Step-by-step explanation:
6:05 - 1 hour and 30 min = 5:25
5:25-40 minutes = 4:45
4:45 - 1 hour 40 minutes = 3:05 P.M
1 4/5 as a decimal thank you (will be giving brainliest to first answer that is correct) : D
Answer:
yes its decimal
Step-by-step explanation:
The given fraction into percent and decimal are; 2.8 and 280%
How to convert percent to fraction and decimal?Percent counts the number compared to 100.
There is a fraction, containing numerator(upper value) and denominator(lower value).
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get,
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in decimal)
There is a fraction, containing numerator(upper value) and denominator(lower value).
The mixed fraction contains a sum of whole number and a proper fraction.
WE have been given a fraction as;
14/5
Then Fraction Decimal Percentage
2.8 and 280%
The given fraction into percent and decimal are; 2.8 and 280%
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What fraction do you multiply 3 by to get 1
John joined a gym for 6 months. He pays 20$ per month plus a membership fee. If his bill is 150$, what was the membership fee?
Answer:
Step-by-step explanation:
If he's been at the gym for 6 months, and he is charged $20 each month, then he has paid $120 dollars, not counting his membership fee. His total bill is $150.
150-120= $30
His membership fee was $30.
Hope this helps!
Mark Brainliest plz!
x is the number of months and y is the membership fee
[tex]cost = 20x + y[/tex]
[tex]150 = 20(6) + y[/tex]
[tex]150 = 120 + y[/tex]
[tex]150 - 120 = 120 - 120 + y[/tex]
[tex]30 = y[/tex]
The membership fee was $30.
What is -2 1/3 - (-5)?
Answer: =2 2/ 3
Step-by-step explanation:
help plsss how do you find the size of angle ABE
Answer:
∠b = 90°
Step-by-step explanation:
If you wrote it correctly then ∠d will = 90°, right?
We have AB ║(which is parallel to) D => ∠b = ∠d = 90°
P/S: I think that you took the wrong photo, the right question should be above. I'm very please if you can take it again and I will write the right solution down below in the comment section (if u don't mind)
Micah has 294 songs stored in his phone,which is 70% of the songs that Jorge in his phone.How many songs are stored on Jorge'S phone ?
Answer:
206
Step-by-step explanation:
70% of 294
70/100 × 294/1
205.8
round it off to 206
Please Help i need this right now Thanks
Solve the equation. 8w = 48
Answer:
8w=48
This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.
Answer:
w = 6
Step-by-step explanation:
Solve
8w = 48
8w/8 = 48/8
= w = 6
Please I need help does anyone know a hack for khan academy
Answer:
Answer:
0.3643
Step-by-step explanation:
Standard Form and Scientific Notation
What is standard form of numbers?
Standard form is the normal way of writing numbers no matter how big or small the number is.
Examples:
15,000,000
0.0000000678
What is scientific notation?
Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.
Examples:
1.3 × 10⁶
34.5 × 10^⁻9
Going back to the question above, we need to convert the given scientific notation to its standard form.
Converting of Scientific Notation to Standard Form
To convert a number from scientific notation to standard form, move the decimal point.
The exponent tells the direction and the number of times we need to move the decimal point.
The positive exponent indicates a large number so we need to move the decimal point to the right.
The negative exponent indicates a small number so we need to move the decimal point to the left.
Do not write the power of 10 anymore.
Solution:
Now, let us convert 3.643 x 10^-1 in standard form.
The exponent is negative 1 so we will move the decimal point to the left once.
3.643 = 0.3643
What is the equation graph below?
Answer: y =7/4x
Step-by-step explanation:
The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4
List the possible rational roots of the equation. 0 = 22x4 - x2 + 121
Answer:
22×4=88÷2=44+121=165
Answer:
±1
±1/2
±1/11
±1/22
±11
±11/2
±121
±121/2
What is the rate of change of
the function when x=-1 and
x = 1?
A
A. 2
B. 4
C. -2
D. -4
0.
Answer:
c!!!!!!!!!!!!!!!!!!!