The LinReg line of best fit for this data set is ŷ = -1.24X + 0.66
What is regression line?A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.
Given:
(−5, 6.3),
(−4, 5.6),
(−3, 4.8),
(−2, 3.1),
(−1, 2.5),
(0, 1.0),
(1, −1.4)
Sum of X = -14
Sum of Y = 21.9
Mean X = -2
Mean Y = 3.1286
Sum of squares (SSX) = 28
Sum of products (SP) = -34.6
Regression Equation,
ŷ = bX + a
b = SP/SSX = -34.6/28 = -1.23571
a = MY - bMX = 3.13 - (-1.24*-2) = 0.65714
ŷ = -1.23571X + 0.65714
ŷ = -1.24X + 0.66
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Work out the bearing of Y from W.
(Not drawn accurately)
Answer:
206°
Step-by-step explanation:
The bearing of y from w is the angle y makes with w moving from the north pole in clockwise direction.
So from the north pole, move in clockwise direction and stop at the line joining w and y
the angles there are 90+116= 206°
Therefore the bearing of Y from W is 206°
Mr. Browner has 7 keys. He has 1 key
for his home, 2 keys for his car, and
the rest are for drawers in his office.
If Mr.
Browner picks one of his keys
without looking, what is the probability
it is for his car?
Options: 1/7, 2/7, 3/7, 5/7, 6/7
Answer:
2/7
Step-by-step explanation:
there are 7 total possibilities for the keys he picks, and out of those possibilities, 2 of them are car keys. this means the probability that it is for his car is 2/7.
[tex]\huge\mathscr\color{gold}\colorbox{black}{ANSWER:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
You can choose Options: 2/7
[tex]__________________________________[/tex]
[tex]\large\mathcal\color{gold}\colorbox{black}{STEP-BY-STEP\: EXPLANATION:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
Will i can choose 2/7 because 7 is probability keys he picks, and 2 keys he picks for looking a drawers in office to finding.
[tex]__________________________________[/tex]
Hope it helps Correct me if I'm wrong[tex]__________________________________[/tex]
[tex]\normalsize\color{brown}\boxed{☕TheQuestionner☕}[/tex]
how many feet? help me please
Answer:
[tex]\fbox {400.41 feet}[/tex]
Step-by-step explanation:
Here we need to take the tan ratio of the angle.
⇒ tan 4° = 28/x = 0.0699268119
⇒ x = 28/0.0699268119
⇒ x = 400.41 feet
Jose began the day with eight Magikarps. After spending the day at the lake, he ended up with sixteen Magikarps.
Find the Percent of increase
thats all she wrote
A percentage is a way to describe a part of a whole. The percentage increase of Magikarps is 100%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Jose began the day with eight Magikarps. After spending the day at the lake, he ended up with sixteen Magikarps. Therefore, The percentage increase of Magikarps is,
Percentage increase = (16-8)/8 × 100% = 100%
Hence, The percentage increase of Magikarps is 100%.
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Using the relationships between
perpendicular lines and their slopes, explain
why horizontal and vertical lines will always
be perpendicular.
Be sure to include the slopes of horizontal
and vertical lines as part of your answer
Answer:
They will always intersect at one point
Step-by-step explanation:
^^
COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:
REMEMBER TO USE (DMAS)
Answer:
) +, -
e) x, ÷
g) ÷
Step-by-step explanation:
How is the graph of the parent function y = x squared transformed to produce the graph of y = 3 (x + 1) squared?
It is translated 1 unit right and compressed vertically by a factor of 3.
It is translated 1 unit left and compressed vertically by a factor of 3.
It is translated 1 unit right and stretched vertically by a factor of 3.
It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
D.
Step-by-step explanation:
tGive the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
Answer:
a = 2
b = -3
c = -2
Step-by-step explanation:
The standard form of a quadratic equation:
ax² + bx + c = 0
…………………………
in order to determine the equation
in standard form ,we have to expand the given expression :
(2x + 1)(x - 2) = 2x² - 4x + x - 2
= 2x² - (4x - x) - 2
= 2x² - 3x - 2
Then the standard form is :
2x² - 3x - 2
Please help fast, thank you! I only have 20 minutes! I always appreciate your help!
Answer:
ur missing the question
Step-by-step explanation:
Round 508.0219 to the nearest hundredth
Answer:
508.02
HOPE THIS HELPS
Todo <3
Step-by-step explanation:
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.
p → q represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.
The missing options are given below.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.
Then the true statement will be
Then the correct options are A and E.
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The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month. Minutes 500 750 1,000 1,250 1,500 Total Monthly Cost (in dollars) $62 $77 $92 $107 $122Choose the correct linear model that represents the total monthly cost as a function of time. A y = 0.06 x + 500, B y = 16 x + 32,C y = 62 x + 16, D y = 0.06 x + 32 .
Answer:
ytyt
Step-by-step explanation:
tyt5667
Question 3(Multiple Choice Worth 5 points)
(06.03 LC)
Determine the equation of the graph, and select the correct answer below.
(-1, 3)
Can I add [tex]2\sqrt{3} + 5\sqrt{3}[/tex] further?
Yes, they can be added and simplified further. 2√3 + 5√3 = 7√3 .
Take √3 as common factor:
2√3 + 5√3
(2 + 5)√3
7√3
The two irrational numbers sums to form another irrational number 7√3 . In decimals that is 12.12435...
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Yes, The terms assigned above are alike so they can be added easily by simple algebric method where root number can be treated as a variable.
[tex]\qquad \sf \dashrightarrow \: 2 \sqrt{3} + 5 \sqrt{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: (2 + 5) \sqrt{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 7 \sqrt{3} [/tex]
Use the FOIL method to evaluate the expression:
Answer:
[tex]\sf b.) \ 1 +2\sqrt{7}[/tex]
Explanation:
Foil method: (a + b)(c + d) = ac + ad + bc + bd
Solving steps:
[tex](4 - \sqrt{7} )(2 + \sqrt{7} )[/tex]
[tex](4)(2) + 4(\sqrt{7} ) + (-\sqrt{7} )(2) + (-\sqrt{7} )(\sqrt{7} )[/tex]
[tex]8 + 4\sqrt{7} - 2\sqrt{7} - 7[/tex]
[tex]8 -7 + 4\sqrt{7} - 2\sqrt{7}[/tex]
[tex]1 +2\sqrt{7}[/tex]
option b) 1 + 2√7
Step-by-step explanation:Foil property method :-
[tex] \red{ \boxed{ \orange{ \rm (a + b)(c + d) = ac + ad + bc + bd}}}[/tex]
then, on substituting the values,
[tex]\sf⇒ \: \: 8 + 4 \sqrt{7} - 2 \sqrt{7} - 7[/tex]
[tex]\sf⇒ \: \: \green{ \underline{\bold{ \red{1 + 2 \sqrt{7} }}}}[/tex]
find the pattern of 1,2,6,18 and state if its arithmetic or geometric
Answer:
its a geometric sequence where each term is 3 times the previous term.
Step-by-step explanation:
{2,6,18,54,162,486,1458...}
A school is watching students as they enter the football game for students who are dressed
inappropriately. they estimate that 7% of all students are dressed inappropriately. out of a group
of 40 students, what is the probability that exactly 2 are dressed inappropriately? round to 3 decimal places.
Using the binomial distribution, it is found that there is a 0.242 = 24.2% probability that exactly 2 are dressed inappropriately.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are given as follows:
n = 40, p = 0.07.
The probability that exactly 2 are dressed inappropriately is given by P(X = 2), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{40,2}.(0.07)^{2}.(0.93)^{38} = 0.242[/tex]
0.242 = 24.2% probability that exactly 2 are dressed inappropriately.
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32 divided by 4x [16x1/2]-2
When the sum of a list of integers is divided by the mean of the integers, the result is x. What does x represent?
Answer:
it is the number of intigers in the list
Based on the concept of integer and the options available, x does represent the number of 2 integers in the list.
What is Integers?An integer is a mathematical term that is known as the number zero, a positive natural number, or a negative integer with a minus sign.
Generally, Integers the negative numbers are the additive inverses of the corresponding positive numbers.
In this case, it has been mathematically proven that when the sum of a list of integers is divided by the mean of the integers the result x represents the total number of integers in the list.
Hence, in this case, it is concluded that the correct answer is option H. The numbers if integers in the list.
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Helpppp I stuck so please help
Me
Answer = #2 - 1/3^3
Step-by-step explanation:
The function f(x) is shown on the graph.
On a coordinate plane, a curved line shaped like a w, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), crosses the y-axis at (0, 12), and crosses the x-axis at (2, 0) and (3, 0).
What is f(0)?
The value of f(0) is 12.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
By considering the graph we have to find f(0) which means we have to find that point where x- coordinate is zero.
Also, which shows that 12 the function f(x)
So, taking the point is (0,12) we can get f(0)= 12.
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please help me please
Answer:
b I think.
Step-by-step explanation:
sorry if im wrong
The summer solstice can occur on any day of the week, with each day being
equally likely. What is the probability the summer solstice will occur on a
weekday?
О А.
O B.
7
115
517
O C.
O D. 1/1/20
The probability that the summer solstice will occur on a weekday is equal to 5/7.
How to calculate the probability?Generally, there are seven days in a week and two among these days are weekends while five are weekdays. Thus, this can be represented as follows:
Total number of days = 7.Number of weekends = 2.Number of weekdays = 5.Therefore, the probability that the summer solstice will occur on a weekday is given by:
P = 5/7.
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A camper ties a rope from a tree to the ground to help build a shelter. The rope is 8 feet long, and it is tied 6 feet up the tree. How far from the tree is the rope anchored to the ground? Use the Pythagorean theorem to find the answer.
Answer:
≈5.3 feet,63.6 inches
Step-by-step explanation:
36+b²=64
-36 -36
b²=28
if we square root both sides we can get the radical/exact answer or the rounded one
radical: 4√7
rounded to the nearest tenth: 5.3 feet
Select all that apply. Which of the following corresponds to absolute zero?
In thermodynamic system, Absolute Zero is that temperature implies Lowest energy level i.e. option a) 0 K or -273° C.
What is Absolute Zero?
Absolute Zero can describe as, in a thermodynamic system, there are certain energy levels depending upon the potentials of temperature. At Absolute zero the potentials of temperature are 0 K in Kelvin scale and -273° C in Celsius scale.
The question seem's to be incomplete. The option could be.
a) 0 K and -273° C
b) 273 K and 0° C
c) -273 K and 0° C
d) 0 K and 273° C
Hence, As per theory Value of The absolute zero is 0 K and -273° C
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The equation y = 1/3x - 2 passes through the diagonals of ZDRN
How to determine the end result?The points are given as:
Z = (-3, -1)
D= (3, -1)
R = (3, -3)
N = (-3, -3)
The equation of the line is given as:
y = 1/3x - 2
When the points and the line equation are plotted in a graph on the same coordinate (see attachment), we can see that the equation y = 1/3x - 2 passes through the points Z = (-3, -1) and N = (-3, -3)
These points are the diagonals of the shape formed by the four points
Hence, the equation y = 1/3x - 2 passes through the diagonals of ZDRN
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Write the algebraic expression for the following statement.
A number decreased by 7 is 5.
Answer:
the algebraic expression is ; x-7=5
Two friends, Vani and Shaquana, took summer jobs. The equation y=28.8xy=28.8x represents Vani's earnings in dollars and cents, yy, for working xx hours. Shaquana earned $653.40 in 33 hours.
How much less per hour does Shaquana earn than Vani?
An equation is formed of two equal expressions. Shaquana earns $10 less per hour than Vani.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation y=28.8x represents Vani's earnings in dollars and cents, y, for working x hours.
y = 28.8x
y/x = 28.8
Hence, Vani is paid $28.8 per hour.
The amount that Shaquana earned was $653.40 in 33 hours. Therefore, per hour she was paid
Amount per hour = $653.40/33 = $19.8 per hour
The difference between the two is,
Difference = $28.8 - $19.8 = $10
Hence, Shaquana earns $10 less per hour than Vani.
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Vani - 28.8
y=28.8x
Vani earns $28.80 per hour.
Shaquana -
653.40 / 33 = $19.80 per hour
Shaquana earns $19.80 per hour.
Vani − Shaquana = $28.80
$28.80−$19.80
=$9
Shaquana earns $9 less per hour than Vani.
In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?
Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.
s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s
The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r
How to determine the arc length?The attached image completes the question
The given parameters are:
Angle = ΘRadius = rSince, the angle is in radians.
The arc length is calculated as:
Arc length = Angle * Radius
So, we have:
s = Θ * r
Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r
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The cost of 5kg of rice is Rs.425. find the cost of 1kg of rice
Answer:
Rs 85
Step-by-step explanation:
Cost of 5kgs of rice = Rs 425
Cost of 1 kg of rice = 425/5
= Rs 85
So, the cost of a kg of rice is Rs 85
