Answer:
The correlation coefficient is approximately -0.9949
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{lcl}x&&y\\-10&&2\\-8&&-3\\-1&&-15\\-4&&-10\\-6&&-6\\-7&&-5\\-5&&-8\\-3&&-13\\-2&&-14\\-9&&-1\end{array}[/tex]
The correlation coefficient, r is given as follows;
[tex]r = \dfrac{\sum(x_i - \overline x) \cdot (y_i - \overline y)}{\sqrt{\sum (x_i- \overline x)^2\times \sum (y_i- \overline y)^2 } }[/tex]
From MS Excel, we have;
∑([tex]x_i - \overline x[/tex])·([tex]y_i - \overline y[/tex]) = -155.5
∑([tex]x_i - \overline x[/tex])² = 82.5
∑([tex]y_i - \overline y[/tex])² = 296.1
Therefore, r = -155.5/(√(82.5 × 296.1)) ≈ -0.9949
The correlation coefficient, r ≈ -0.9949
What is the range of the function?
Answer:
all real numbers greater than or equal to 11
Trash-A-Way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage-No-More charges a flat fee of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal?
Answer:
look at the explanation
Step-by-step explanation:
Write an equation:
Trash a way : $25 + 0.25x
Garbage No More : $45 per month
so to make them equal we need to have enough trash in Trash A Way that it equals $45
25 + 0.25x =45
0.25x = 20
x = 80
So, you need to have 80 pounds of trash to make them equal
hope this helps!
please vote and heart!
When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?
Answer:
3.18%
2 between 89 91
Step-by-step explanation:
*Probability-Between 3.18%
Z1=0.04 Z2=0.12
x-1 89
x-2 (not required) 91
µ 88
σ 25
5 a + 3 b + 2 a b + 4 a -7 b
Answer:
5a+4a=9a
3b-7b=-4b
2ab
=9a-4b+2ab or 2ab+9a-4a
Step-by-step explanation:
Calculate liked terms
Which graph corresponds to the function f(x) = x2 + 4x – 1?
Answer:
1
Step-by-step explanation:
I graphed it to check. x^2+4x-1 has a vertex of (-2,-5).
Find the reciprocal of I
Answer:
the reciprocal of 1 is 1
Step-by-step explanation:
1/1 flipped is still equal to 1
Out of the 14641 times Voldemort has brushed his teeth, only 5/11 of the time did he floss immediately beforehand. How many times total has Voldemort NOT flossed right before brushing his teeth?
In this question, we want to find a fraction of a value, which is found multiplying the fraction by the value.
Information:
Voldemort has brushed his teeth 14641 times.
5/11 of the time, he has flossed immediately beforehand.
[tex]1 - \frac{5}{11} = \frac{6}{11}[/tex] of the time, he has NOT flossed immediately beforehand.
How many times total has Voldemort NOT flossed right before brushing his teeth?
6/11 out of 14641, so:
6*14641/11 = 7986.
Thus, Voldemort has NOT flossed right before brushing his teeth 7986 times.
For another example with a fraction of a value, you can check https://brainly.com/question/5501130
Lord Voldemort did not floss his teeth 7986 times.
According to this question, we know the following two facts:
1) Lord Voldemort has brushed his teeth 14641 times.
2) He flossed his teeth beforehand only [tex]\frac{5}{11}[/tex] of the time.
There, he did not floss his teeth [tex]\frac{6}{11}[/tex] of the time and the total number of time that he did not floss is obtained by multiplicating the total number of times that he brushed his teeth and the rational number deducted at the beginning of the paragraph. That is to say:
[tex]x = \left(\frac{6}{11} \right)\cdot (14641)[/tex]
[tex]x = 7986[/tex]
Lord Voldemort did not floss his teeth 7986 times.
find the value of x in the diagram below
Answer:
70
Step-by-step explanation:
In a trapezoid lines are parallel, so corresponding angle sum = 180
X+X+40 = 180
2x + 40 = 180
2x = 180-40
2x = 140
X = 140/2
X = 70
Answered by Gauthmath
Jacob earned $80 babysitting and deposited the money into his saving account. The next week he spent $85 on video games. Use integers to describe the weekly changes in Jacob's savings account balance.
Answer:
Net change in money: decrease of $5
Step-by-step explanation:
supposing Jacob started with x dollars:
He gained $80 from babysitting: x+80
Lost 85: x + 80 - 85
--> x - 5
Therefore, at the end of the week, Jacob lost 5 dollars
(-2 1/2) to the second power
Answer:
6.25
Step-by-step explanation:
[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]
Hope this helps.
Is the answer option c?
Answer:
yes
Step-by-step explanation:
f(x) = x^2 -1
Hope it helps!!
Find the value of x.
PLEASE HELP ASAP!!!!!!
Answer:
does it want the degree????
Without using logarithm tables, find value of x in the equation:
log x³+ log5x =5log2-log⅖
Answer:
[tex]x =2[/tex]
Step-by-step explanation:
Given
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Required
Find x
We have:
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Apply exponent rule
[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]
[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]
Apply product and quotient rules of logarithm
[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]
[tex]\log (5x^4) =\log(80)[/tex]
Cancel log on both sides
[tex]5x^4 = 80[/tex]
Divide by 5
[tex]x^4 = 16[/tex]
Take 4th roots of both sides
[tex]x =2[/tex]
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term
Answer:
common difference is 0.5
first term is 5
Step-by-step explanation:
use the formula for the nth term of an ap Tn=a+(n-1)d
T12=10.5
T18=13.5
therefore come up with two equations
T12=a+(12-1)d
10.5=a+11d(1st equation)
T18=a+(18-1)d
13.5=a+17d(2nd equation)
then solve both as a simultaneous equation
a+11d=10.5
a+17d=13.5
-6d/-6=-3/-6
d=0.5
use one of the equations to find the first term
a+11(0.5)=10.5
a+5.5=10.5
a=10.5-5.5
a=5
I hope this helps
please mark as brainliest
pls somebody help me wth this
Answer:
8 puzzles, and 840 pieces
Step-by-step explanation:
420 / 4 = 105
630 / 6 = 105
Option 2 is the correct answer,
Reason
840 / 8 = 105
15.
Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = x – a.
A horizontal shift a units to the right.
A vertical shift a units downward.
A horizontal shift a units to the left.
A vertical compression by a factor of 1/a.
Answer:
A horizontal shift a units to the right.
Step-by-step explanation:
f(x) =x, is a line with the the x-intercept at (0,0)
g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right
A square has an area of 100 m squared. What is the length of each side?
Answer:
10m
Step-by-step explanation:
area of a square =s^2
therefore s^2=100
s= under root 100
= 10
Solve the equation.
8-2x = -8x + 14
O x=-1
Ox=-3/5
Ox= 3/5
Ox=1
The solution to the algebraic equation is x = 1. The last option is correct.
How do we solve a linear algebraic equation?The solution to a linear algebraic equation can be achieved by finding the like terms and equating them to the constant variable.
From the given information:
8 - 2x = -8x + 14
Collecting the like terms, we have:-2x + 8x = 14 - 8
6x = 6
Divide both sides by 6, we have:x = 1
Learn more about solving linear algebraic equations here:
https://brainly.com/question/1365672
#SPJ1
Given the growth/decay percentage, determine the multiplier.
1) 5% Growth
2) 12% Decay
4) 0.85% Decay
3) 200% Growth
The multiplier is 1 + growth percentage or 1- decrease percentage rage.
1) 1 + 5% = 1.05
2) 1-12% = 0.88
3) 1-0.85% = 0.9915
4) 1 + 200% = 3
if possible help me in this. I need to find the two odd numbers...
Part (a)
Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer
For example, if x = 7, then x+2 = 9 is right after.
Answer: x+2========================================================
Part (b)
The consecutive odd integers we're dealing with are x and x+2.
Their squares are x^2 and (x+2)^2, and these squares add to 394.
Answer: x^2 + (x+2)^2 = 394========================================================
Part (c)
We'll solve the equation we just set up.
x^2 + (x+2)^2 = 394
x^2 + x^2 + 4x + 4 = 394
2x^2+4x+4-394 = 0
2x^2+4x-390 = 0
2(x^2 + 2x - 195) = 0
x^2 + 2x - 195 = 0
You could factor this, but the quadratic formula avoids trial and error.
Use a = 1, b = 2, c = -195 in the quadratic formula.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\[/tex]
If x = 13, then x+2 = 13+2 = 15
Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394
Or we could have x = -15 which leads to x+2 = -15+2 = -13
So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394
We get the same thing either way.
Answer: Either 13, 15 or -15, -13You are standing 186 feet away from the base of a building and your clinometer
measures 23° when it's looking at the top of the building. (This angle is the one between
the ground and the top of the building). Please calculate the height of the building.
9514 1404 393
Answer:
about 79 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this scenario, the angle is 23°, the adjacent side is the distance to the building, and the opposite side is the building height. Then we have ...
height = tan(23°)·(186 ft) ≈ 78.95 ft ≈ 79 ft
What is the expected value?
Answer:
2.1
Step-by-step explanation:
The expected value of a probability is given by the formula:
E(x) = Σxp(x)
Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:
E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)
E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1
Hence we can conclude that the expected value of the winnings of the game is 2.1.
Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD
Answer: [tex]1\ \text{USD}\equiv 1.35\ \text{AUD}[/tex]
Step-by-step explanation:
1 USD is equivalent to 1.35 AUD
Therefore, 80 USD is equivalent to
[tex]\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}[/tex]
Which expression is equivalent to 206.230?
O a. 2 x 100 + 6 x 10 + 2 x 1 + 3 < 1/10
O b. 2 x 100 + 6 x 1 + 2 x 1/10 + 3 < 1/100
O c. 2 × 10 + 6 x 1 + 2 x 1/10 + 3 * 1/100
Answer:
b.
Step-by-step explanation:
hsgusuhsghshjsuhsyh
help me u guys i really neeed help.
Answer:
Q, quadrant 4
Step-by-step explanation:
Answer:
The letter is Q
And the quadrant is (x,-y) i.e quadrant no. 4
Step-by-step explanation:
dilations geometry!
Answer:
A' (0,20)
B' (30,-20)
C' (-10,-40)
Answered by GAUTHMATH
A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random, what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?
i don't know please answer me
If [ -2 5 7 6] and |B| = -|A|, which matrix is matrix B?
|A| and |B| denote the determinants of the matrices A and B.
We have
[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]
Then B is a matrix such that |B| = -|A| = +47.
The only choice satisfying this is C, since
[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]
HURRY PLEASE
1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
Answer:
n = ≥500
Step-by-step explanation:
They must be able to swim 500 yards or more.
19) The x coordinate of a point that lies on the x-axis is negative.
Answer:
false
Step-by-step explanation:
i'm not sure if this is a true or false question, but if so, it is false
the x-axis has a positive side and a negative side, so the coordinate isn't necessarily negative. it could also be zero if the point is at the origin
hope this helps!
