A negative correlation coefficient indicates an inverse or indirect relationship between two variables. As one variable increases, the other tends to decrease or become smaller.
A correlation coefficient measures the strength and direction of the relationship between two variables. It can range from -1 to +1. A negative correlation coefficient indicates an inverse relationship between the variables.
In an inverse relationship, as one variable increases, the other variable tends to decrease or become smaller. Conversely, as one variable decreases, the other variable tends to increase or become larger. This means that the variables move in opposite directions.
For example, if we observe a negative correlation between the amount of studying done for an exam and the number of mistakes made, it means that as studying increases, the number of mistakes decreases, and vice versa.
On the other hand, a positive correlation coefficient indicates a direct relationship, where both variables tend to move in the same direction. In a positive correlation, as one variable increases, the other variable also increases, or as one variable decreases, the other variable decreases.
In conclusion, a negative correlation coefficient signifies an inverse relationship between two variables, where an increase in one variable is associated with a decrease in the other variable, and vice versa.
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A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list shows the work completed at the sites, in order from greatest to least? 1. 12.5%, 1/4, 50%, 3/4 2. 3/4, 50%, 1/4, 12.5% 3. 3/4, 12.5%, 1/4, 50% 4. 1/4, 50%, 3/4, 12.5%
Answer:
2. 3/4, 50%, 1/4, 12.5%
Step-by-step explanation:
Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4
1/4 = 0.25
50%
= 50/100
= 0.5
12.5%
= 12.5/100
= 0.125
3/4
= 0.75
in order from greatest to least?
3/4, 50%, 1/4, 12.5%
1. 12.5%, 1/4, 50%, 3/4
2. 3/4, 50%, 1/4, 12.5%
3. 3/4, 12.5%, 1/4, 50%
4. 1/4, 50%, 3/4, 12.5%
As of September 19th, 2022, the website Five-Thirty. Eight has Gov. Kathy Hochul at \( 51.895(0.518) \) with the other candidates at \( 42.496(0.424) \). You randomly select 10 voters. What is the pro
The probability of randomly selecting a voter who supports Gov. Kathy Hochul out of the 10 voters can be estimated as \(0.518\).
To find the probability that a randomly selected voter supports Gov. Kathy Hochul, we need to calculate the proportion of voters who support her based on the given percentages.
The proportion of voters who support Gov. Kathy Hochul is \(0.518\), and the proportion of voters who support the other candidates is \(0.424\).
Assuming that the selection of voters is independent, we can use these proportions to estimate the probability of randomly selecting a voter who supports Gov. Kathy Hochul.
If we randomly select 10 voters, the probability of each voter supporting Gov. Kathy Hochul or the other candidates would be the same as the proportions mentioned above.
Therefore, the probability of randomly selecting a voter who supports Gov. Kathy Hochul out of the 10 voters can be estimated as \(0.518\).
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Consider the following two linear equations.
2x + y = 5
-2x + 2y = 4
Solve for the point of intersection using elimination
Point of intersection:
Answer:
(1,3)
Step-by-step explanation:
:)
consider the system of equations x1 + 2x2 − x3 = 2 , x1 + x2 −x3 = 1 express the solutions in terms of inverse of the coefficient matrix.
The solution to the system of equations x1 + 2x2 − x3 = 2 , x1 + x2 −x3 = 1 in terms of the inverse of the coefficient matrix is:
x1 = (1/3) + (2/3)x2
x2 = (1/3)
x3 = 1/3
To express the solutions of the system of equations x1 + 2x2 − x3 = 2 , x1 + x2 −x3 = 1 in terms of the inverse of the coefficient matrix, we first need to find the coefficient matrix. This matrix is:
[1 2 -1]
[1 1 -1]
The inverse of this matrix can be found by using the formula:
A^-1 = 1/det(A) * adj(A)
where det(A) is the determinant of the matrix A, and adj(A) is the adjugate of the matrix A. The determinant of the coefficient matrix is 3, so we have:
A^-1 = 1/3 * [1 -2]
[-1 1]
Now, we can use this inverse matrix to solve the system of equations. First, we can write the system in matrix form as:
[1 2 -1] [x1] [2]
[1 1 -1] [x2] = [1]
Multiplying both sides by the inverse of the coefficient matrix, we get:
[1 -2] [x1] [1]
[-1 1] [x2] = [-1]
Solving for x1 and x2, we get:
x1 = (1/3) + (2/3)x2
x2 = (1/3)
Now, we can substitute these values into either of the original equations to solve for x3. Using the first equation, we get:
x3 = 2 - x1 - 2x2 = 2 - (1/3) - (4/3) = 1/3
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how will the z-scores compare if you use your height in inches verses centimeters?
The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.
The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.
Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.
Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
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What is the circumference?
18 yd
Answer:is 18 yd the radius
Step-by-step explanation:
if so its 113.1
You invest $20,000 in the stock market. The stock market then plummets
over the next few weeks. Each day, your investment loses half of its value. How
much will you have invested after 14 days? Write the geometric sequence
formula and show all of your work.
After 14 days, you will have approximately $2.4414 invested in the stock market.
The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:
an = a1 x \(r^{(n-1)\)
Where:
an is the nth term,
a1 is the first term,
r is the common ratio, and
n is the number of terms.
In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.
Substituting the given values into the formula, we have:
a14 = 20000 x\((1/2)^{(14-1)\)
a14 = 20000 x \((1/2)^{13\)
a14 = 20000 x (1/8192)
a14 ≈ 2.4414
Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.
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The amount you will have invested after 14 days is given as follows:
$2.44.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term of the sequence.
The parameters for this problem are given as follows:
\(a_1 = 20000, q = 0.5\)
Hence the amount after 14 days is given as follows:
\(a_{14} = 20000(0.5)^{13}\)
\(a_{14} = 2.44\)
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tickets for a cinema costs £4 and £5. There were 223 customers who paid a total of £936. How many bought £4 tickets
The number of people who bought £4 tickets are 139.
How to illustrate the equation?Let £4 tickets be x
Let £5 tickets be y.
Therefore based on the information given, this will be:
x + y = 223 ..... i
4x + 5y = 936 ..... ii
From equation i
x = 213 - y
Put this into equation ii
4x + 5y = 936
4(213 - y) + 5y = 936
852 - 4y + 5y = 936
Collect like terms
y = 84
This implies that the number of £5 tickets is 84.
Recall that x + y = 223
x + 84 = 223
x = 223 - 84
x = 139
The number of £4 tickets is 139
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Arthur walked around a circular trail twice in a total of 4.5 hrs. He walked the circle at 4 mph the first time and at 5 mph the second time. How long is the trail?
Can anyone explain this problem?
Answer:
10 miles long
Step-by-step explanation:
The length of the circular trail is calculated as: 10 miles.
How to solve Algebraic expressions?We are told that Arthur walked around a circular trail twice in a total of 4.5 hrs.
Thus, he completed two full loops around the circular trail. Let's call the distance of the trail "d" (in miles) and the time it took for the first loop "t1" hours, and the time it took for the second loop "t2" hours.
So, we have:
t₁ + t₂ = 4.5
He walked the circle at 4 mph the first time and at 5 mph the second time.
The distance traveled is given by the formula:
Distance = Speed × Time.
For the first loop:
d = 4t₁
For the second loop:
d = 5t₂
From Equation 2 and Equation 3, we can set up an equation relating t₁ and t2:
4t₁ = 5t₂
Now, we can solve for t₁ in terms of t₂:
t₁ = (5/4)t₂
Substitute this value of t1 into Equation 1:
(5/4)t₂ + t₂ = 4.5
Combine the terms:
(9/4)t₂ = 4.5
Now, solve for t₂:
t₂ = (4.5 * 4) / 9
t₂ = 2
Now that we have the value of t₂, we can find t₁ using the equation
t₁ = (5/4)t₂
t₁ = (5/4) * 2
t₁ = 2.5
Now we can find the length of the trail using either Equation 2 or Equation 3:
d = 4t₁
d = 4 * 2.5
d = 10
So, the length of the circular trail is 10 miles.
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A 2-gallon bucket of paint costs $101.20. What is the price per quart?
Answer:
$25.30
I might be wrong also
How to convert centimeters into millimeters?
Answer: Multiply the centimeters number by 10.
Step-by-step explanation: There are 10 millimeters in every centimeter.
Kilo worked his 40 regular hours last week, plus 8 hours at the time-and-a-half rate. His gross pay was $585. What was his hourly rate?
Answer:
$11.25
Step-by-step explanation:
Let x = pay of regular hour
y = time-and-half rate hour pay
40x + 8y = 585
y = 1.5x
40x + 8(1.5x) = 585
40x + 12x = 585
52x = 585
52x/52 = 585/52
x = 11.25
You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite
.a.58.392
b.37.980
c.31.608
d.52.020
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the string = 39 m
The kite is level with the top of a building that is 24 meters high.
We need to find the angle of elevation of the kite.
A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.
\(\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}\)
So, the angle of elevation of the kite is 37.97°. The correct option is (b).
i need help with this
Answer:
C. \(\sf \dfrac{7}{4}\)
D. \(\sf 1\dfrac{3}{4}\)
Explanation:
\(\hookrightarrow \sf 4\dfrac{1}{4}-2\dfrac{2}{4}\)
\(\hookrightarrow \ \sf \dfrac{17}{4}-\dfrac{10}{4}\)
\(\hookrightarrow \sf \dfrac{17-10}{4}\)
\(\hookrightarrow \ \sf \dfrac{7}{4}\)
\(\hookrightarrow \ \sf 1\dfrac{3}{4}\)
\(\hookrightarrow 1.75\)
Answer: 7/4 and 1 3/4
Step-by-step explanation:
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen quarters minus ten quarters = seven quarters.
The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount of rain in Houston?
Answer:
8-i=g
Step-by-step explanation:
g= amount of rain Groesbeck gout
i = inches of rain
Answer:
saw this question on egde its b
a cup of soup is left on a countertop to cool. the table below gives the temperatures , in degrees fahrenheit, of the soup recorded over a 10-minute period. write an exponential regression equation for the data, rounding all values to the nearest thousandth.
Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup.
Calculate the x and y means in step one.
X's average: (0 + 10) / 2 = 5.
(95 + 88.5) / 2 = 91.75 is the mean of y.
Calculate the variance and covariance in step two.
(-5 6.5) + (5 -2.5) = 32.5 is the covariance.
X's variation is (5 0).
2 + (10 − 0)2 = 125
Calculate the regression coefficients in step three.
x = -32.5 / 125 = -0.26 where a = Covariance / Variance of x
Mean of x = 91.75 (-0.26 5) = 99.97 where b = Mean of y a Mean of x
Step 4: Compose the equation for exponential regression.
y = -0.0063e^0.16x + 99.97
Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup. We must first determine the means of x and y before we can solve the problem. By summing the first and last values of x and dividing by 2, the mean of x is 5 and the mean of y is 91.75. (calculated by adding the first and last y values and then dividing by 2).
Calculating the covariance and variance comes next. The difference between each x and the mean of x is multiplied with the difference between each y and the mean of y to determine the covariance. By squaring the difference between each x and the mean of x, the variance of x is determined. The regression coefficients a and b can be determined when the covariance and variance have been computed.
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The numbers 38, 79, 17, 43, 74, 96, and 87 are re-arranged so that starting with the second number, the tens digit of each number is equal to the units digit of the previous number. What is the fourth number in this new list?
Answer:
38
Step-by-step explanation:
Sequential pairs will be ...
38 - 87
79 - 96
17 - 74 or 79
43 - 38
74 - 43
96 - (none)
87 - 74 or 79
We notice that 17 has no preceding number. It must be first in the list. 79 cannot be second, because that skips a bunch of numbers. The sequence appears to be ...
17 - 74 - 43 - 38 - 87 - 79 - 96
The 4th number in the list is 38.
A large company releases summary statistics about the annual salaries for its employees. Mean standard deviation minimum Q1 median Q3 maximum $63,429 $38,439 $18,000 $50,000 $58,000 $68,000 $350,000 Based on this information, are there any outliers in the data? Explain your reasoning
Pieces of data such as $18,000 and $350,000 represent outliers in this chart in standard deviation .
How to interpret a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high. The standard deviation calculates how much the data vary from the mean value. It is helpful for contrasting data sets that might have the same mean but a different range.In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.
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Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form
Answer: standard form of (6.31×10⁵ ) + (2.6×10⁴) is 65.7 × 10⁴.
What is a simplification of an expression?
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
As given,
(6.31×10⁵ ) + (2.6×10⁴) = ( 6.31× 10⁴ ×10 ) + (2.6 × 10⁴ )
= ( 6.31 × 10 + 2.6 )
= ( 63.1 + 2.6 )
= ( 65.7 )
= 65.7 × 10⁴
Hence, the standard form of ( 6.31× 10⁵) + (2.6 × 10⁴) = 65.7 × 10⁴.
\((6.31\times 10^{5})+(2.6\times 10^{4})\implies 6\underline{31000}+2\underline{6000} \implies \text{\LARGE 657000}\)
The length of a side of a square is 25. find the length of the diagonal of the square
Answer:
35.35 cmStep-by-step explanation:
\(Side = 25 cm\\\\Diagonal = ?\\\)
Look at the image ; notice we have a right angle triangle ?
So , we can derive :
Hypotenuse = ?
Opposite = 25
Adjacent = 25
\(Pythagoras \:Theorem ;\\Hypotenuse^2 =Opposite^2+Adjacent^2 \\\\x^2 = 25^2 +25^2\\x^2 = 625+625\\\\x = \sqrt{1250}\\ \\\\x = diagonal = 25\sqrt{2} \\= 35.35\)
ANSWER QUICK I WILL GIVE BRAINLIEST!
the difference between a number and seven eighths exceeds negative two thirds f plus 7 over 8 is greater than 2 over 3 f minus 7 over 8 is less than or equal to negative 2 over 3 f minus 7 over 8 is greater than negative 2 over 3 f minus 7 over 8 is less than negative 2 over 3
The correct statement is f minus 7 over 8 is greater than negative 2 over 3. Option C
What are inequalities?Inequalities are defined as mathematical relation with an unequal comparison between two numbers, elements, quantities or mathematical expressions.
They are mostly used in the comparison of two numbers on the number line on the basis of their size of magnitude.
From the information given, we have that;
The difference between a number and seven eighthsIt also exceeds negative two thirdsLet the number be f
This is expressed as;
f - 7/8 > -2/3
This is written in word form as;
f minus 7 over 8 is greater than negative 2 over 3
Hence, the expression is f - 7/8 > -2/3
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Answer:
Step-by-step explanation:
c i have spoken
Jordan is mixing water and flour to make tortillas. The number of cups of water, w, needed for f cups of flour is described by the equation w=0.75f . What does 0.75 tell us in this situation?
If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour
The equation is
w = 0.75f
Where w is the number of cups waters needed for f cups of flour.
Here w is is dependent variable and f is the independent variable
We can see that w is proportional to the f, the 0.75 is the constant.
w = 0.75f
Move the f to left hand side of the equation
w/f = 0.75
Hence, If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour
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I know i’m asking a lot of questions but help me please. Is this correct?
Answer:
Option A
Step-by-step explanation:
ok so firstly this is super duper easy! all you have to see first in these type of questions is the "sequence" or the "pattern". and you have to make a ittle equation with this, so the first picture has 1 square, secound one has 5, the third one has 9, and the fourth one has 13.
- so firstly see or find a specific sequence.
13 - 9 = 4
9 - 5 = 4
5 - 1 = 4
so we found out "4" is the main changing unit. Now lets make a short formula which will help us determine any number ahead of the picture.
so lets do 4x = number of squares, x= figure number
4(1) = 4 :: wrong, because the first figure has only one square
so, 4x - 3
4(1) - 3 = 1 :: correct! this euqation works!
Now, we need to find how many squared there are in figure 100, so ->
4(100) - 3 = 397 squares!
and now doing the question will be easier, because option A says 1 square in the centre and 99 sqaures on each side.
So-> 99 + 99 + 99 + 99 +1 = 397! boom!! got the answer!
compare fractions, -10 1/5 and -10 1/4
Answer:
4/20 - 5/20 = -1/20, and therefore, since the answer is negative, you've proven that 5/20 (or the original 1/4) is actually the bigger number, not the 4/20 (or 1/5).
Step-by-step explanation:
Help me with this please!!!
Answer: y = 80*
all circles have 360* so we can subtract what we have to get what we want
360 - 110 - 90 - 80 = 80*
A shirt is on sale for 60% of the original price. The original price is $28 more than the sale price. What was the original price?
Answer:
I believe the answer is $70
Step-by-step explanation:
I used the formula
x= 0.6x + $28
x= the original price
please show steps will give brainliest
Answer:
3x²-3x+2
Step-by-step explanation:
To find A-B:
Substitute A and B with given values:
x²-(-2x²+3x-2)
Epand the bracket since there is a -1 in front of the bracket (the 1 is invisible)
x²+2x²-3x+2
Simplify:
3x²-3x+2
The number of bacteria N in a culture after t days can be modeled by the function N(t) = 1,300 · (2)t/4. Find the number of bacteria present after 17 days. (Round your answer up to the next integer.)
The given function is N(t) = 1,300 · (2)t/4. We need to find the number of bacteria present after 17 days. To find the number of bacteria present after 17 days, we need to substitute the value of t = 17 in the given function. Therefore, we have
\( N(17) = 1,300 · (2)17/4=1,300 · (2)4.25= 1,300 · 10.882\), f rom the exponent properties: 24.25 = (24)(21/4) = 16(21/4).Therefore, the number of bacteria present after 17 days is: \( 1,300 · 10.882 ≈ 14,147.7≈ 14,148\) (round up to the nearest integer).The number of bacteria present after 17 days is 14,148 (rounded up to the nearest integer).
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Suppose f (x) = 2 x minus 1 and g (x) = startfraction x 1 over a endfraction. which value(s) of a would make the composite functions commutative? 0 2 any value of a no value of a
The value of a should be 2 for the function to be composite.
What is composite function?
When two functions, f and g, are combined to create a third function, h, the result is such that h(x) = g(f(x)).
Main Body:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is
f(g(x)) = g(f(x)) = x
So, 2(\(\frac{x+1}{a}\)) - 1 = \(\frac{(2x-1)+1}{a}\)
If you multiply both sides by a, you get 2a(\(\frac{x+1}{a}\)) - a = (2x-1)+1
Simplify it 2a(\(\frac{x+1}{a}\)) - a = 2x
Add a to both sides 2a(\(\frac{x+1}{a}\)) = 2x +a
The two as on the left cancel out 2(x+1)=2x+a
Distribute the 2: 2x+2=2x+a
Then subtract 2x from both sides 2 = a
Therefore, a = 2
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Answer:
B. 2
Step-by-step explanation:
Right on Edge
A
rooted tree is a binary tree if every internal vertex has 2
children ? (T or F) and (Why)
Reason: The term "binary" means there are 2 branches per internal node. Think of it like a coin flip.