The correlation coefficient of 0.00 means that the data points do not have a line of best fit.
If we set r = 0.00, the data points we will get not follow any linear relationship, and therefore, there will not by any line fitting the data.
The correlation coefficient tells us how much a data set fits the least-squares line - it does not tell us what its slope or y-intercept will be. Therefore we can, for a given correlation coefficient, produce a varied set of least square lines, each with different slope and y-intercept.
(3).
A.
No, not all least-square fit lines have the same slope.
B.
No, not all least-square fit lines have the same y-intercept.
C.
They have the same correlation coefficient and the value of y is not related to the value of x.
Question 20
Mr. Stakur rolls a 20-sided die ten times. He rolls were 1,2,3,3,4,6,7,7,8, and 11,
Find the experimental probability Find the experimental probability of Norris rolling at least 10,
Was this higher or lower than what should have theoretically happened?
А
10 percent, Lower
B
20 percent, Higher
С
20 percent, Lower
D
10 percent, Higher
The correct option regarding the probability of rolling a number that is at least 10 is given by:
А 10 percent, Lower
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:
pT = 11/20 = 0.55 = 55%.
For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:
pE = 1/10 = 0.1 = 10%.
Which is lower than the theoretical probability, hence option A is correct.
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B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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the jawbreaker machine
Answer:
D.
Step-by-step explanation:
If you add them all up and subtract 30 you get 60
I MAYBE MESSED UP // haven't done this math in a while
Given that f(x) = x2 – 5x + 6 and g(x) = x – 3, find f(x) + g(x) and express
the result in standard form.
Answer:
G(X)+f(X) = x2-6x+3
Step-by-step explanation:
When tracey and Chris’s daughter Emily was born, they set up a trust fund to mature on her 18th birthday. They invested $25,000. When Emily turned 18, the trust fund was worth $100,000. At what continuous rate of interest r was the money invested? (Use A=Pe^rt) enter your answer as a percentage rounded to one decimal point.
Answer: The continuous interest rate at which the money was invested is approximately 15.4%.
Step-by-step explanation: We can use the formula for continuous compounding to find the value of r:
A = Pe^(rt)
Where A is the final value, P is the initial investment, e is the base of the natural logarithm, r is the continuous interest rate, and t is the time.
Plugging in the given values, we get:
$100,000 = $25,000e^(r*18)
Dividing both sides by $25,000 and taking the natural logarithm of both sides, we get:
ln(4) = 18r
Solving for r, we get:
r = ln(4)/18 ≈ 0.154
Multiplying by 100 to convert to a percentage and rounding to one decimal point, we get:
r ≈ 15.4%
Therefore, the continuous interest rate at which the money was invested is approximately 15.4%.
Which statement is true?
1. Perpendicular lines never intersect.
2. Perpendicular lines intersect to form four right angles.
3. Perpendicular lines are always the same distance apart.
Please help
toss two dice. the probability of rolling an even number on both sides is 1/2x1/2= 1/4. predict in 120 tosses how many times an even number will appear on both dice?
Answer:
Chances of both even number = 30 times
Step-by-step explanation:
Given:
Chances of both even number = 1/4
Total number of tosses = 120
Find:
How many times both dice show even number
Computation:
Chances of both even number = [Chances of both even number][Total number of tosses]
Chances of both even number = 1/4 [120]
Chances of both even number = 30 times
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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Can someone help me please
Answer:
The length would be 25/5 which is 4.8
Answer:
l=8 or -3
Step-by-step explanation:
You can write this into an equation!
It will be l*(l-5)=24
Now, we can just solve.
We have to expand the equation and so on.
Please help I keep getting them wrong.
Answer:
(2, 2)
Step-by-step explanation:
Since we know that y = x, we can substitute that into the first equation and solve for y.
-(y) + 3y = 4
2y = 4
y = 2
And once more, since we know that y = x, we now know that x is also 2.
Therefore, the solution is (2, 2).
Using the theory vectors, find all possible fourth corners to parallelograms that have vertices (1,1), (4,2), and (1,3)
So, the possible fourth corners are (4,4) and (-2,2).
Given the three vertices of a parallelogram (1,1), (4,2), and (1,3), we can use vector algebra to find the fourth corner. We know that opposite sides of a parallelogram are parallel, and therefore have the same vector direction. We can use this property to find the vector pointing from one corner to another and then use this vector to find the fourth corner.
One possible method is:
Find the vector pointing from (1,1) to (4,2) by subtracting the coordinates of the first point from the coordinates of the second point: (4,2) - (1,1) = (3,1)Find the fourth corner by adding this vector to the third point: (1,3) + (3,1) = (4,4)Another possible method is:
Find the vector pointing from (4,2) to (1,3) by subtracting the coordinates of the second point from the coordinates of the third point: (1,3) - (4,2) = (-3,1)Find the fourth corner by adding this vector to the first point: (1,1) + (-3,1) = (-2,2)So, the possible fourth corners are (4,4) and (-2,2).
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What is the most inexpensive way to measure heart rate during exercise?
A. Doing a rate of perceived exertion
B. Taking your pulse
C. Wearing a heart rate monitor
D. None apply
Answer:
C
Step-by-step explanation:
Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Frances had no money in her checking account. She writes 3 checks for $35 each. The bank imposes a $15 penalty because she has overdrawn her account. How much money is in her account now?
The money in Frances' account is - $ 120 after the 3 checks and the penalty.
We are given that:
Frances has no money in her account.
Current balance of her account = $ 0
Now she wrote 3 checks of $ 35 each.
Amount written = 3 × $ 35 = $ 105
Now, the balance in her account will be = $ 0 - $ 105 = - $ 105
Also, the bank has imposed a penalty of $ 15 as she has overdrawn her account.
So, the balance now will become:
Balance = - $ 105 - $ 15 = - $ 120
Therefore, the money in Frances' account is - $ 120 after the 3 checks and the penalty.
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Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś
Answer:
X | y
---------------
-2 | 3
-1 | 0
0 | -3
1 | -6
NO LINKS!!
Please help me with these proofs Part 4
Given:
RC ⊥ OK,RK ≅ KSThe triangles ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.
Statement Reason
RC ⊥ OK GivenRK ≅ KS Given∠1 and ∠2 are right angles Definition of perpendicularOK ≅ OK Reflexive property (common side)ΔKRO ≅ ΔKCO HL congruence ProvedProblem 4Given:
LG bisects ∠GFA,∠F ≅ ∠ATo prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.
Statement Reason
LG bisects ∠GFA Given∠F ≅ ∠A Given∠1 ≅ ∠2 Definition of angle bisectorLG ≅ LG Reflexive property (common side)ΔLGA ≅ ΔLGF AAS congruenceFG ≅ AG CPCTCProvedHere is the problem I need help and for correct answer I’ll give brainliest and 100 points today due yesterday
When talking about launching a watermelon, what heights make sense to talk about?
Can the watermelon be 10 feet in the air? Sure.
Can the watermelon be on the ground (height = 0 ft)? Sure.
Can the watermelon be 10 feet below the ground? Eh... not really.
So in context, the only heights that make sense are when the watermelon is on the ground or in the air. That's the highlighted part of the graph below.
So what is the domain of just that highlighted portion?
To answer the second question, remember that the watermelon being on the ground is the same as it's height being 0 ft, or h=0. That's the same thing as the x-axis. So when does the watermelon hit the ground? When the graph hits the x-axis.
Time can never be negative
So x is positive hereWe can't use domain (-oo,oo) although its shown in graph
The appropriate domain is that interval where the melon went up and hit the ground
[0,2.5]Close intervals
0s to 2.5 sIf we find range then. that's
(-oo,24.5)-oo is given because the melon may have travelled few ins inwards the ground
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.12,10,8,...
Sequences
An arithmetic sequence is identified because each term can be found as the sum of the previous term and a constant number called the common difference.
In geometric sequences, each term is found as the previous term times a constant number called the common ratio.
We are given the three first terms of a sequence:
12, 10, 8, ...
If it's a geometric sequence, then the ratio of 10/12 should be equal to the ratio of 8/10. Checking out:
10/12 = 0.83
8/10 = 0.8
Thus, this is NOT a geometric sequence.
Now let's try the differences 10 - 12 and 8 - 10:
10 - 12 = -2
8 - 10 = -2
Since the difference is constant, we have an arithmetic sequence of a common difference of -2.
An engineer is studying early morning traffic patters at a particular intersection. The observation period begins at 5:30 am. Let X denote the time of arrival of the first vehicle from the north-south direction; let Y denote the first arrival time from the east-west direction. Time is measured in fractions of an hour after 5:30 am. Assume that the density for (X, Y ) is given by
fXY (x,y)= 1/x 0
Required:
a. Find the curve of regression of X on Y. Is the regression linear?
b. Find the mean value of X when y = 0.5.
c. Find the curve of regression of Y on X. Is the regression linear?
d. Find the mean value of Y when x = 0.75.
The regression curve is attached with the answer and the value of x on y = 0.5 is 2.
What is the regression line?Curve fitting in regression analysis is the process of choosing the model that best fits the particular curves in your dataset.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that an engineer is studying early morning traffic patterns at a particular intersection. The observation period begins at 5:30 am. Let X denote the time of arrival of the first vehicle from the north-south direction; let Y denote the first arrival time from the east-west direction. Time is measured in fractions of an hour after 5:30 am.
The mean value of X at y=0.5 will be calculated as,
y = 1 / X
X = 1 / y
X = (1 / 0.5)
X = 2
Therefore, the regression curve is attached with the answer and the value of x on y = 0.5 is 2.
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Explain the steps you would take to find a quotation of 1/3÷4/3
Answer:
Answer btw is 1/4 ;)
Step-by-step explanation:
First step in dividing fractions is to flip the second fraction, aka find the inverse.
\(\frac{1}{3}/\frac{4}{3} \\\frac{1}{3}*\frac{3}{4}\)
All you have to do from here is multiply.
\(\frac{3}{12}=\frac{1}{4}\)
Boom.
Use the \(lim_{x-0} \frac{sinx}{x}=1\) to determine \(lim_{x-0} \frac{xcos5x}{sin5x}\).
Rewrite the limit as
\(\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = \lim_{x\to0} \frac{5x}{\sin(5x)} \cdot \lim_{x\to0} \frac{\cos(5x)}5\)
Then using the known limit,
\(\displaystyle \lim_{x\to0} \frac{\sin(x)}x = 1 \implies \frac1{\lim\limits_{x\to0}\frac{\sin(x)}x} = \lim_{x\to0}\frac x{\sin(x)}=1\)
it follows that
\(\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = 1 \cdot \frac{\cos(0)}5 = \boxed{\frac15}\)
Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3
The equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1
What is the equation of the parabola?To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.
Alternatively, we can use PF = PM to find the equation of the parabola.
vertex is half way between the focus and directrix
It's a downward opening parabola, general form
y= a(x-h)^2 + k
where (h,k) = vertex= (-3,-1)
plug in another point on the parabola to solve for a which gives
am answer with either x coefficient = -1'/4 or =4 Check the math.
one or the other is right another point is the y intercept = 9a-1
Another point is directly to the right of the focus (-1, -2) It's 2 down from the directrix and 2 to the right of the focus, equidistant. plug that point into y= a(x+3)^2 -1 and solve for "a"
-2 = a((-1+3)^2 -1
-2 = 4a -1
4a = -
a = -1/4
The parabola is y = (-1/4)(x+3)^2 -1
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Three less than eight times a number is twentyfive
3 - 8n = 25
8n + 3 = 25
Option 1
Option 2
8n - 3 = 25
Answer:
8n - 3 = 25
Step-by-step explanation:
Mara brought 2/3 yard of yellow ribbon and 1/4 yard of blue ribbon. How many yards of ribbon did she buy all together?
Evaluate the expression, showing work please
5((8+2)+3(6-3))
Answer:
The answer is 59
Step-by-step explanation:
5(8+2)+3(6-3)
5*8=40
5*2=10
3*6=18
3*-3=-9
(40+10)+(18-9)
50+9=59
-2x (-3x²y)(2y) = _______.
Answer:
12x³y²
Step-by-step explanation:
You want the product -2x (-3x²y)(2y).
ExponentAn exponent is a means of telling the number of times the base is a factor in a product. For example, the exponent 2 means the base is a factor twice in the product:
x² = x·x
ApplicationWhen the same factor appears a number of times in a product, an exponent can be used to represent that number.
(-2x)(-3x²y)(2y) = (-2)(-3)(2)(x·x²)(y·y)
The factor x appears 3 times in the product, and the factor y appears twice. The numerical product can be simplified, so the result is ...
12x³y²
Joylin win a $50 gift card for the local movie theater. She uses the entire amount on the card to purchase tickets and snacks for her family. If Joylin spends $6 more on tickets than she does on snacks, how much does Joylin spend on tickets?
Answer:
28$
Step-by-step explanation:
Answer:
c. $28
Step-by-step explanation:
math
Find the simple interest owed for the loan. $2,550 at 2% for 1 year
Answer:
The simple interest owed is $51
Step-by-step explanation:
The formula for simple interest is I = Prt, with I for interest, P for principle, r for interest rate, and t for time (in years)
The equation is I = 2550(0.02)(1), which is I = 51.
Hope this helps :)
The article "A Shovel with a perforated blade reduces energy expenditure required for digging wet clay" (Human Factors, 2010:492-502) reported on an experiment in which each of 13 workers was provided with both a conventional shovel and a shovel whose blade was perforated with small holes. The authors of the cited article provided the following data on stable energy expenditure (measured in kilocalories per kg of subject per pounds of clay):
1 2 3 4 5 6 7 8 9 10 11 12 13 Worker Conventional 0.0011 0.0014 0.0018 0.0022 0.001 0.0016 0.0028 0.002 0.0015 0.0023 0.0017 0.002 0.0014 Perforated 0.0011 0.001 0.0019 0.0013 0.0011 0.0017 0.0024 0.002 0.0013 0.0017 0.002 0.0013 0.0013 Carry out a test of hypotheses at significance level 0.05 to see whether the true average energy expenditure using the conventional shovel exceeds that using the perforated shovel. (hint: this is a paired-design!). Make sure to calculate a p-value!
Answer:
Step-by-step explanation:
Corresponding true average energy expenditure of shovel with conventional blade and true average energy expenditure of shovel with perforated blades form matched pairs.
The data for the test are the differences between the true average energy expenditures of the shovels.
μd = true average energy expenditure of shovel with conventional blade minus true average energy expenditure of shovel with perforated blades.
Conventional perforated diff
0.0011 0.0011 0
0.0014 0.0010 0.0004
0.0018 0.0019 -0.0001
0.0022 0.0013 0.0009
0.0010 0.0011 -0.0001
0.0016 0.0017 -0.0001
0.0028 0.0024 0.0004
0.0020 0.002 0
0.0015 0.0013 0.0002
0.0023 0.0017 0.0006
0.0017 0.002 -0.0003
0.0020 0.0013 0.0007
0.0014 0.0013 0.0001
Sample mean, xd
= (0 + 0.0004 - 0.0001 + 0.0009 - 0.0001 - 0.0001 + 0.0004 + 0 + 0.0002 + 0.0006 - 0.0003 + 0.0007 + 0.0001)/13 = 0.0002077
xd = 0.0002077
Standard deviation = √(summation(x - mean)²/n
n = 13
Summation(x - mean)² = (0 - 0.0002077)^2 + (0.0004 - 0.0002077)^2 + (- 0.0001 - 0.0002077)^2+ (0.0009 - 0.0002077)^2 + (- 0.0001 - 0.0002077)^2 + ( - 0.0001 - 0.0002077)^2 + (0.0004 - 0.0002077)^2 + (0 - 0.0002077)^2 + (0.0002 - 0.0002077)^2 + (0.0006 - 0.0002077)^2 + (- 0.0003 - 0.0002077)^2 + (0.0007 - 0.0002077)^2 + (0.0001 - 0.0002077)^2 = 0.00000158923
Standard deviation = √(0.00000158923/13
sd = 0.00035
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 13 - 1 = 12
The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (0.0002077 - 0)/(0.00035/√13)
t = 2.14
We would determine the probability value by using the t test calculator.
p = 0.027
Since alpha, 0.05 > than the p value, 0.027, then we would reject the null hypothesis. Therefore, at 5% significance level, we can conclude that the true average energy expenditure using the conventional shovel does not exceed that using the perforated shovel.
Apple store is having a sale and all prices of iPhones are reduced by 35%. If an iPhone is now $714.35, what was the original price?
The original price of iPhones if the prices are reduced by 35% is $2,041
How to determine original price?Let
Original price = xSale price = $714.35Percentage discount = 35%Sale price = Original price - (Percentage discount × Original price
714.35 = x - (35% of x)
714.35 = x - 0.35x
714.35 = 0.65x
divide both sides by 0.65
x = 714.35 / 0.65
x = $2,041
In conclusion, the original price of iPhones after the discount is $2,041
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