The slope of the line that contains the given points will be;
⇒ m = 1 / 5
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The points on the line are,
x = - 4 , 1 , 6 , 11
y = - 3 , -2 , - 1 , 0
Now,
To find the slope of the line, we can take two points on the line are;
(x , y) = (- 4 , - 3) , (1 , - 2)
Hence, The slope of the line which contain the points (- 4 , - 3) and
(1 , - 2) will be;
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 2 - (-3)) / (1 - (-4))
m = (-2 + 3) / (1 + 4)
m = 1 / 5
So, The slope of the line which contain the points (- 4 , - 3) and (1 , - 2) will be = 1 / 5
Therefore,
The slope of the line that contains the given points will be;
⇒ m = 1 / 5
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last week we calculated the standard deviation by hand, and then used that to find the standard error. can we find the standard error now?
Yes, you can find the standard error now by taking the standard deviation divided by the square root of the sample size.
The standard deviation in a data set is the mean deviation of the data from their mean.
For sample size n for a data set with data points X1, X2, X3……..Xn for exact standard deviation:
1. Calculates the arithmetic mean M of the set data by adding them all and dividing by n.
M = ( X1+X2+ X3+…..+Xn) / n
2. Calculate the deviation (D) for each data point from the mean M
D = (Xi-M) for all
3. Squaring and sum of all deviations, sum of squares (SS)
4. Divide SS by n.This quantity is the sample variance V
5. Take the square root of V.
6. This quantity is the sample standard deviation, SD.
There are some specific terms and issues to consider. If you are estimating the standard deviation of a population from a sample and the population mean $ is not known, M serves as an unbiased estimate of $. Again, SS is divided by (n-1), not n.
The resulting standard deviation is an unbiased estimate of the population standard deviation based on the sample size, n. If the population mean is known, use that mean instead of the sample mean. , and the SD of the sample is only calculated for n through SS dives.
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If x 3 = -27, then what is .x?
-9
0-3
3
9
Quention #SMultiple choice
Answer:
-9
Step-by-step explanation:
3x=-27
HELP IF YOU'RE GOOD AT GEOMETRY!!
Answer:
1. LP
2. QR
3. LM
4. SNM
Step-by-step explanation:
hope this helps
What is the solution for
8x+10=3x+5y
Answer:
first you have to move the varible so
5x +10=5y
then thats as far as i can go
good luck
Answer:
x-y=-2
Step-by-step explanation:
8x-3x-5y=-10
5x-5y=-10
x-y=-2
-5/7 (50/5 - 1/5) explanation too please
During one month mike used 685 gallons of water at his home. There are approximately 3.8 liters in 1 gallon. Which measurement is closet to liters mike used?
Answer:
Step-by-step explanation:
Comment
This is a question that needs choices. I will go by sig digits.
Givens
1 gallon = 3.8 liters.
685 gallons were used.
Formula
1 gallon 685 gallons
====== = ==========
3.8 liters x
Solution
1/3.8 = 685/x Cross multiply
1*x = 685*3.8
x = 2603 liters. There are 2 significant digits in 3.8. So round to 2 places.
Answer
Liters = 2600 Liters
Select the description of the graph created by the equation 3x2 - 6x + 4y - 9 = 0.
O Parabola with a vertex at (1,3) opening left.
O Parabola with a vertex at (-1, -3) opening left.
O Parabola with a vertex at (1,3) opening downward.
Parabola with a vertex at (-1, -3) opening downward.
Answer is C:)
The equation represents a parabola with a vertex at (1,3) opening downward.
What is a parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
The given equation is 3x² - 6x + 4y - 9 = 0. On plotting the graph of the given equation it is found that the parabola formed is opened downwards and has a vertex at the point ( 1,3). The graph is attached with the answer below.
Hence, the correct option is C which is the equation that represents a parabola with a vertex at (1,3) opening downward.
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Answer:
C, "Parabola with a vertex at (1, 3) opening downward."
Miss Marge has a large fish tank in her
office. Does her fish tank hold 100 liters
or 100 mL of water?
Based on the residual plot, is the linear model
appropriate?
49:14
O No, there is no clear pattern in the residual plot.
OYes, there is no clear pattern in the residual plot.
O No, there is a clear pattern in the residual plot,
indicating that the linear model is not appropriate.
OYes, clearly the concentration of the vitamin
decreases for the first three hours and then increases
after that.
Due to no match in linear model and residual plot, the correct option is B - Yes, there is no clear pattern in the residual plot.
What is linear model?
Depending on the context, the phrase "linear model" is used differently in statistics. The word is frequently used interchangeably with a linear regression model since it occurs most frequently in relation to regression models.
The linear model displays a straight line.
The line is at the origin (0,0).
The residual plot is a curve plot.
It does not match the linear plot model.
The residual plot is far from same as the linear model.
Therefore, there is no clear pattern in the residual plot.
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John has a bag of marbles. He gives away 3/4 of the marbles to his friend. Later, he receives another bag containing 2/4 of the original number of marbles. How many marbles does John have now?
Answer:
Total is 3
Step-by-step explanation:
AI-generated answer
Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.
Let the original number of marbles be x.
John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:
1/4 x = the number of marbles John has left
If we solve for x, we get:
4/1 * 1/4 x = 4/1 * the number of marbles John has left
x = 4 * the number of marbles John has left
Now we know that John had 4 times the number of marbles he has left.
Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.
We can express this as:
1/2 x = the number of marbles in the new bag
To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:
Total number of marbles = the number of marbles John has left + the number of marbles in the new bag
Total number of marbles = 1/4 x + 1/2 x
Total number of marbles = (1/4 + 1/2) x
Total number of marbles = (3/4) x
We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:
Total number of marbles = (3/4) * 4 * the number of marbles John has left
Total number of marbles = 3 * the number of marbles John has left
Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.
Tell me in the commets if you didn't understand a word or something in the equation. :)
I need help with this plzzzz and this is the thing to the other thing I posted
Answer:
A. A, B, C, D
Step-by-step explanation:
A. 4.99 ÷ 2.25 = 2.1777...
B. 5.50 ÷ 1.75 = 3.142857143
C. 10.99 ÷ 4.50 = 2.44222...
D. 2.99/0.5 = 5.98/1
Answer:
a. A, C, B, D
Step-by-step explanation:
A. 9/4 = 2.25
2.25/4.99 = 1/x
2.25x ÷ 2.25 = x
4.99 ÷ 2.25 = 2.22
$2.22 per pound
B. 7/4 = 1.75
1.75/5.50 = 1/x
1.75x ÷ 1.75 = x
5.50 ÷ 1.75 = 3.14
$3.14 per pound
C. 9/2 = 4.5
4.5/10.99 = 1/x
4.5x ÷ 4.5 = x
10.99 ÷ 4.5 = 2.44
$2.44 per pound
D. 1/2 = 0.5
0.5/2.99 = 1/x
0.5x ÷ 0.5 = x
2.99 ÷ 0.5 = 5.98
$5.98 per pound
I NEED HELP ON THIS ASAP!! PLEASE, IT'S DUE TONIGHT!
Answer:
Step-by-step explanation:
Which row of pascal’s triangle would you use to expand (2x 10y)15? row 10 row 12 row 15 row 25
Correct option is C. Row 15 of pascal's triangle will be used.
Pascal's triangle:
1 n = 0 , Row = 0
1 1 n = 1 , Row = 1
1 2 1 n = 2 , Row = 2
:
.........
.......
For n = 0, Row number 1
For n = 1, Row number 2
For n = 2, Row number 3
We make pascal's triangle but sum of above two number, write below.
As we can see in pascal's triangle.
Exponent represent the number of row.
If binomial has exponent n then nth row of pascal's triangle use.
For
Here power is 15
So, we have to use 15 row of pascal's triangle.
Hence, Row 15 is correct
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Find the quotient. Answer to the nearest hundredth. 437 ÷ 15
Answer:
29.13
Step-by-step explanation:
29.1333
29.13
The quotient of the given division nearest to the hundredth is 29.133
What is division?Division is defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.
Now the given division is,
437 ÷ 15
Using long division method,
29.1333
15| 437
- 30
137
- 135
20
- 15
50
- 45
50
- 45
5
hence the quotient we get is 29.1333...
To round of to the nearest hundredth,
Since digit to the right of 3 is less than 5
So, the remainder nearest to the hundredth is 29.133.
Thus,The quotient of the given division nearest to the hundredth is 29.133.
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A stock just paid a dividend of $1.55. The dividend is expected to grow at 26.56% for three years and then grow at 3.42% thereafter. The required return on the stock is 14.40%. What is the value of the stock?
Here, we are supposed to find the value of the stock. Let's begin by determining the expected dividends: Expected dividends1st year dividend (D1)
= $1.55(1 + 26.56%)
= $1.96Second-year dividend (D2) = $1.96(1 + 26.56%) = $2.48Third-year dividend (D3)
= $2.48(1 + 26.56%)
= $3.
= D1/(1+r)^1 + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4...∞Where r
= required rate of return Let us substitute the values now PV of the future dividends
= $1.96/(1 + 14.40%)^1 + $2.48/(1 + 14.40%)^2 + $3.14/(1 + 14.40%)^3 + $3.25/(1 + 14.40%)^4...∞PV of the future dividends = $1.96/1.1440^1 + $2.48/1.1440^2 + $3.14/1.1440^3 + $3.25/1.1440^4...∞PV of the future dividends
= $1.72 + $1.92 + $2.04 + $1.86...∞PV of the future dividends
= $7.54We know that the value of the stock is the present value of the expected dividends, so we can calculate it as follows: Value of the stock
= PV of the future dividends Value of the stock
= $7.54
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Henry painted a picture of his house on canvas. The actual width of
the driveway is 20 feet. If it is represented with a width of 4 inches on
the canvas, what was the scale factor used?
Answer:
The scale factor would be -5.
Step-by-step explanation:
If the driveway is 20 feet but 4 foot on the canvas. Then 20/4 is 5. But since the width is going from 20 to 4, the numbers are going down to it would be a negative scale factor. If it was going from 4 width to 20 width, the scale factor would be a positive 5.
solve 2csc^2x-2cscx-1=0
for 0° ≤ x ≤ 360°
Answer:
Step-by-step explanation:
2 csc²x-2 csc x-1=0
or
\(\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ\)
which of the following is the best interpretation of the power of a significance test? responses power is the probability of detecting an effect if no effect exists. power is the probability of detecting an effect if no effect exists. power is the probability of detecting an effect if an effect exists. power is the probability of detecting an effect if an effect exists. power is the probability of detecting an effect whether or not an effect exists. power is the probability of detecting an effect whether or not an effect exists. power is the probability of not detecting an effect if no effect exists. power is the probability of not detecting an effect if no effect exists. power is the probability of not detecting an effect if an effect exists.
The power in a significance test is the probability of detecting a true effect, while the probability of making a type II error is the complementary probability of power.
A significance test is a statistical method used to determine whether an observed difference or effect is statistically significant or simply due to chance.
Power is defined as the probability of detecting an effect in a significance test if an effect truly exists. In other words, it is the probability of correctly rejecting the null hypothesis (H0) when the alternative hypothesis (Ha) is true. The null hypothesis assumes that there is no significant difference between two groups, while the alternative hypothesis states that there is a significant difference.
Mathematically, power is calculated using the following formula:
Power = 1 - β
Where β is the probability of making a type II error, which is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. In other words, it is the probability of not detecting an effect when an effect truly exists.
Therefore, power and β are complementary probabilities. If power is high, β is low, and vice versa. A significance test with a low power has a higher chance of making a type II error, meaning that it can fail to detect a real effect. Conversely, a test with a high power has a lower chance of making a type II error, meaning that it can detect a real effect more accurately.
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Identify the true statements about the correlation coefficient, ????. if two variables are negatively correlated, when one variable increases, the other variable also increases. the correlation coefficient is not affected by outliers. a correlation coefficient of zero means that no relationship exists between the two variables. the sign of ???? describes the direction of the association between two variables. when the data points in a scatter plot are randomly scattered, the correlation between the two variables is weak. the value of ???? ranges from negative one to positive one.
a. Since both a strong-positive and weak-positive correlation are formally considered to be "growing," this is ambiguous (positive slope). In the same way, negative correlation. Speaking strictly in terms of truth or untrue, I would classify this as false
b. This is once more a little tricky. When "r" is zero, there isn't any evidence of a linear link. It doesn't necessarily follow that the variables don't correlate with one another. The answer is probably True if this is a course on statistics for beginners. If not, False.
c. This is simple to understand. Inverse relationships are indicated by negative coefficients. One grows while the other shrinks (or vice versa). False.
d. The range of the coefficient r is [0, 1] (inclusive), not (0,1). In this case, True if the text suggests [0,1].
e. Simple and accurate
f. Plain and simple, FALSE. Quite a high correlation coefficient
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find the area of the surface defined by x + y + z = 1, x2 + 7y2 ≤ 1.
The area of the surface is (2/3)π.
We can solve this problem using a double integral. First, we need to find the limits of integration for x and y. From the equation x + y + z = 1, we get:
z = 1 - x - y
Substituting this into the equation x² + 7y² ≤ 1, we get:
x² + 7y² ≤ 1 - z² + 2xz + 2yz
Since we want to find the area of the surface, we need to integrate over x and y for each value of z that satisfies this inequality. The limits of integration for x and y are given by the ellipse x² + 7y² ≤ 1 - z² + 2xz + 2yz, so we can write:
∫∫[x² + 7y² ≤ 1 - z² + 2xz + 2yz] dA
where dA is the area element.
To evaluate this integral, we can change to elliptical coordinates u and v, defined by:
x = √(1 - z²) cos u
y = 1/√7 √(1 - z²) sin u
z = v
The limits of integration for u and v are:
0 ≤ u ≤ 2π
-1 ≤ v ≤ 1
The Jacobian for this transformation is:
J = √(1 - z²)/√7
So the integral becomes:
∫∫[u,v] (x² + 7y² )J du dv
Substituting in the values for x, y, z, and J, we get:
∫∫[u,v] [(1 - z²) cos² u + 7/7 (1 - z²) sin² u] √(1 - z²)/√7 du dv
Simplifying, we get:
∫∫[u,v] [(1 - z²) (cos² u + sin² u)] (1/√7) dz du dv
= ∫∫[u,v] [(1 - z²)/√7] dz du dv
= (2/3)π
Therefore, the area of the surface defined by x + y + z = 1, x² + 7y² ≤ 1 is (2/3)π.
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PLEASE HELP ME!!!!! take a look at the question please
according to clue no. 1 the number is 760 > x > 740. so, it could be any number between 740 - 760.
according to the 2 & 3 clue we can conclude that thousandths and ones digit are even and thousandth digit is twice the ones digit.
so the ones digit could be, 2 & 4 and the thousandth digit could be 4 & 8.
according to the 4th clue we can say that the tenths digit is 1 and thousandths digit is 4 as, thousandth digit is the 2nd even number after ones digit and also, sum of tenths and thousandth digit is 5 so, 1 + 4 = 5.
so, through this we can conclude that,
• ones digit = 2 as ( thousandth is twice the ones = 2 × 2 = 4 )
• tenths digit = 1 ( as 1 + 4 = 5 )
• thousandths digit = 4 ( as 4 + 1 = 5 )
according to clue no. 5 product of hundredths and hundreds is 7 so, 7 × 1 = 7.
so, according to this we can conclude that hundreds digit is 7 because in the required number the hundreds digit is itself 7
• hundreds digit = 7
&
• hundredths digit is = 1
and also, tens digit is 5 because only ones and thousandths digit are even.
so, the required number is, 752.114
hope this answer helps you dear & may u have a great day ahead!... take care!
What is x=-b+Xb^2-4ac/2a
that is the quadratic formula - \(x=\frac{-b +/-\sqrt{b^{2}-4ac } }{2a}\)
Convert the following number into the English translation
Arnold has recorded the number of chirps per minute ( x) that crickets makeat different temperatures (y).He has determined that the association is linear and that the line of best fit isy= 1x + 50.What is the interpretation of the slope and y-intercept of this equation?10090Temperature (°F)y = **+ 50706050403020105 10 15 20 25 30 35 40 45 50Chirps per minuteA. The slope predicts a temperature increase of about 4 for everyincrease of 50 chirps per minute. The y-intercept shows that whenthe crickets are not chirping (x = 0), the temperature is 1B. The chirping increases as the temperature goes downO C. The slope tells us that for every increase of 1 chirp per minute, wepredict that the temperature increases by 40°. The wintercept tellsus that when the crickets are not chirping (when x = 0), thetemperature is 0O D. The slope predicts a temperature increase of about 1. for everyincrease of 1 chirp per minute. The y-intercept shows that whenthe crickets are not chirping (x = 0), the temperature is 50
The interpretation of the slope and y-intercept of the equation:
\(y=\frac{1}{4}x+50\)Is option D.
From the equation we read that:
- The slope is: 1/4
- The y-intercept is: y = f(0) = 1/4 * 0 + 50 = 50
Determine a definite integral that represents the arc length of r=6+3sin(θ),0≤θ≤2π
The formula for arc length of a polar curve is given by:
L = ∫(a to b) √[r(θ)² + (dr/dθ)²] dθ
where r(θ) is the polar equation of the curve and dr/dθ is the derivative of r with respect to θ.
In this case, the polar equation is r = 6 + 3sin(θ) and we need to find the arc length for θ between 0 and 2π.
To find the derivative of r with respect to θ, we use the chain rule:
dr/dθ = d/dθ [6 + 3sin(θ)]
= 3cos(θ)
Now, we can plug in r(θ) and dr/dθ into the formula for arc length and integrate from 0 to 2π:
L = ∫(0 to 2π) √[r(θ)² + (dr/dθ)²] dθ
= ∫(0 to 2π) √[(6 + 3sin(θ))² + (3cos(θ))²] dθ
This integral may be difficult to evaluate by hand, so we can use a computer or calculator to get an approximate value.
In summary, the definite integral that represents the arc length of r = 6 + 3sin(θ) for 0 ≤ θ ≤ 2π is:
L = ∫(0 to 2π) √[(6 + 3sin(θ))² + (3cos(θ))²] dθ
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Use the graph to answer the question that follows.
Graph with the title rental housing market has quantity along the horizontal axis and rent price along the vertical axis. The quantity on the horizontal axis starts at zero and increases by two thousand units up to seven thousand units. The rent price on the vertical axis starts at zero dollars and increases by two hundred dollars up to sixteen hundred dollars. A downward sloping line indicates demand. An upward sloping line indicates supply. The demand and supply curves intersect when the rent price is one thousand dollars and the quantity is five thousand units.
Assume the government sets a price ceiling, or maximum price, of $800 rent per month. Based on the graph, what will be the outcome of this price ceiling?
There will a rental housing surplus.
There will be a rental housing shortage.
The equilibrium price will increase.
The equilibrium quantity will increase.
Answer:
B. There will be a rental housing shortage.
Step-by-step explanation:
A shortage is when the demand for a product or service is higher than the supply of it, and a surplus is the opposite when there is less demand than what is produced so there ends up being more product than what is actually needed. An equilibrium point is where the supply and demand intersect each other, meaning that product supply is exactly what is demanded having no extra or lack of product.
In this case the government is setting the price at $800 which is $200 below the equilibrium point, which means that more people will want to rent and the supply will not meet the demand ending up being a rental housing shortage.
Answer: Rental Housing Shortage
Step-by-step explanation: I took the test
What is the range of function g if g(x) =-2f(x-3)
Answer:
If you entered the function correctly there is not a range
Step-by-step explanation:
Answer: {y|-♾<y<0}
Step-by-step explanation: i’m taking this summer school class
Indicate the answer choice that best completes the statement or answers the
question.
Which point is closest to 29 on the number line?
А
B
с
D
0
1
2 3 4 5 6 7 8
9 10
Oa. A
Oь. С
Oc.D
Od. B
Answer:
option d
Step-by-step explanation:
root of 29 = 5.39 (rounded)
in the line, point B is closest to that value.
HELP ME AND PLS AND THXS
(-1, -16)
(3, 0)
(-5, 0)
(0, -15)
Answer:
A. (-1, -16)
Step-by-step explanation:
The letter tiles shown are placed in a bowl. Matt selects one tile from the bowl.
HUKMOPSUZY
What is the probability that Matt will select one of the letters in the word "JUMP"?
Enter your answer in the box below.
1
2
3
11
VI
"V
10
4
5
6
2
8
9
Answer:
4/10 or 2/5
Step-by-step explanation:
probability of each letter:
J = 0/10
U = 2/10
M = 1/10
P = 1/10