Answers
(D) 0.95
Answer:
The correct option is D.
Step-by-step explanation:
The correlation coefficient represent the relationship between two variables. It is denoted by r and the value of r lies from -1 to 1.
If r=-1 and close to -1, then it represents strong negative correlation.
If -1<r<0 and close to -0.5, then it represents weak negative correlation.
If r=0 and close to 0, then it represents no correlation.
If 0<r<1 and close to 0.5, then it represents weak positive correlation.
If r=1 and close to 1, then it represents strong positive correlation.
From the given graph it is clear than the data represents the strong positive correlation because the data set lie close to the positive strait line. So, the value of r is near to 1.
Option 1, 2 represent the negative correlation and option 3 represents weak positive correlation.
Since 0.95 close to 1, therefore it represents strong positive correlation.
Hence option D is correct.
Related Questions
please help!! I don't understand
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Answer:
(4, 5)
Step-by-step explanation:
All the medians intersect at the same point. RU and PS are medians so they intersect at the same point that medians QT and PS intersect.
The height of a triangle is increasing at a rate of 2 2 centimeters/minute while the area of the triangle is increasing at a rate of 3.5 3.5 square centimeters per minute. at what rate is the base of the triangle changing when the height is 10 10 centimeters and the area is 80 80 square centimeters?
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which statement describes the ratio of weight to mass and the value of x in the table?
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weight/mass = (196 N)/(20 kg) = 98/10 N/kg
You can find x from ...
(98/10)x = 1078
x = 1078*10/98 = 110
The appropriate choice is ...
B The ratio is 98/10; x = 110
At the sandwich shop, there are four different types of meat and three different types of cheese. If you select a sandwich without looking, what is the probability that it has your favorite type of meat on it?
give answer as a fraction
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I don't know why you gave extra information about the cheese because the question didn't ask anything about the cheese
The solution is : 1/4 is the probability that it has your favorite type of meat on it.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
given that,
At the sandwich shop, there are four different types of meat and three different types of cheese.
If you select a sandwich without looking,
then we need to find the probability.
Solution
There are four different types of meat and three different types of cheese
Probability = number of required outcome / number of possible outcome
Total amount of meat = number of possible meat = 4
If you only have one favorite type of meat the probability 1/4
Hence, the correct answer is Option B.
The solution is : 1/4 is the probability that it has your favorite type of meat on it.
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Which value of r indicates a stronger correlation: requals0.811 or requalsnegative 0.861? explain your reasoning?
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r=-0.861 indicates stronger correlation than r=0.811 because |-0.861| > |0.811|.
A camera manufacturer spends $2,100 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $14 each. a. How many cameras must the company sell in one day to equal its daily costs? b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Answers
Here, first we need to find the number of cameras that can be sold, so that total costs are equal to total revenues.
Let the number of cameras that can be sold be "x".
Total revenue = $ 14x
Total costs will be = $ 2100 + $9x
So, the equation that will be formed ⇒
14 x = 2100 + 9x
5x = 2100
x = 420
Thus, in order to make total costs equal to total revenues, 420 cameras are required to be sold.
If instead of 420, 470 cameras are sold, the daily profit will be calculated as under -
Total revenue = $ 14 × 470 cameras = $ 6,580
Total costs = $ 2100 + ( $ 9 × 470 cameras) = $ 6,330
Daily profit = Total revenue - Total costs = $ 6,580 - $ 6,330 = $ 250
a customer buys three bottles of water at ninety nine cents each. there is seven percent tax on each bottle. what is the total bill?
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I hope this helped! I don't wanna get your answer wrong! >o<
Solve for x. Use the completing the squares method. Round decimals to the nearest tenth. 2x2+16x=−18 (
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2x^2+16x=-18
dividing through by 2 we get:
x^2+8x=-9
but
c=(-b/2a)^2
c=(-8/2)=16
hence
x^2+8x+16=-9+16
x^2+8x+16=7
(x+4)(x+4)=7
(x+4)^2=7
thus getting the square root of both sides
x+4=+/-√7
x=-4+/-√7
x=
Answer:
[tex]x = -4 \frac{+}{-} 2\sqrt{5\\}[/tex]
Step-by-step explanation:
a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an intial speed of 130 feet per second. What is the maximum height, in feet, the ball will attain? round to the nearest hundredth
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We have then:
h (t) = - 16t ^ 2 + 130t + 2
Deriving we have:
h '(t) = - 32t + 130
We match zero:
-32t + 130 = 0
We cleared t:
t = 130/32
t = 4.0625 s
We evaluate the value of t = 4.0625 s in the equation of motion:
h (4.0625) = - 16 * (4.0625) ^ 2 + 130 * (4.0625) + 2
h (4.0625) = 266.0625 feet
Answer:
The maximum height, in feet, the ball will attain is:
h (4.0625) = 266.0625 feet
Final answer:
Using the kinematic equation for vertical motion, the maximum height a tennis ball will reach when fired at an initial speed of 130 ft/s from a height of 2 feet is approximately 264.91 feet.
Explanation:
Calculating the Maximum Height of a Tennis Ball
The maximum height that a tennis ball will attain when fired vertically can be calculated using the kinematic equations that describe projectile motion. Given that the initial speed of the ball is 130 feet per second and it is launched from a height of 2 feet, we can use the equation for vertical motion:
v^2 = u^2 + 2gh
where v is the final velocity (0 ft/s at the highest point), u is the initial velocity (130 ft/s), g is the acceleration due to gravity (-32.2 ft/s^2, negative because it is directed downwards), and h is the height gained. Rearranging the formula to solve for h we get:
h = (v^2 - u^2) / (2g) = (0 - 130^2) / (2 * -32.2)
After calculating h, we add the initial launch height of 2 feet to find the maximum height above ground:
Maximum Height = h + 2 feet
By plugging in the values, we can find the maximum height to be:
Maximum Height = (0 - 16900) / (-64.4) + 2 ≈ 264.91 feet (rounded to the nearest hundredth).
Therefore, the maximum height attained by the tennis ball is approximately 264.91 feet.
hey can you please help me posted picture of question
Answers
D. f(x)=(x+4)^4
The explanation is shown below:
1. The initial function was G(x)=x^4, whose graph shows that the shape has its vertex at 0,0.
2. If the it was shift 4 units to the left, you only has to add a 4 to the function.
3. Therefore, you obtain the the equation of the final shape is:
f(x)=(x+4)^4
As you can see, the answer is the option D.
The balance on a car loan after 4 years is $8,996.32. The interest rate is 5.6% compounding annually. What was the initial value of the loan?
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A=P(1+r)^n
where
A=future value
P=principle amount
r=rate
n=time
thus plugging in our values we get:
8996.32=P(1+5.6/100)^4
solving for p we shall have:
8996.32=1.2435P
hence:
P=$7234.5
Thus the initial amount was $7234.5
what is the difference between the greatest amount and least amount of gasoline used to mow lawns?
1/8 2/8 3/8/4/8 5/8
Answers
The difference is 4/8 which is equivalent to 1/2
Explanation:
The given values of gasoline amounts are as follows:
1/8 , 2/8 , 3/8 , 4/8 , 5/8
Since all the values have the same denominator, therefore, we can base our comparison on the numerator. The larger the numerator, the larger the value of the fraction.
Based on this, we can note that:
the least amount of gasoline is 1/8
the greatest amount of gasoline is 5/8
The difference between the two can be computed as follows:
difference = greatest amount - least amount
difference = 5/8 - 1/8
difference = 4/8 which can be simplified to give 1/2
Hope this helps :)
Choose the correct conic section to fit the equation. x^2/36-y^2=1 Circle Ellipse Parabola Hyperbola
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Choose the correct conic section to fit the equation. x^2/36-y^2=1 Circle Ellipse Parabola Hyperbola
Solution:
The general equation of circle is:-
(x-h)²+(y-k)=r²
The general equation of ellipse is:-
[tex] \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{{b^{2}}}=1 [/tex]
The general equation of parabola is:-
y = a(x-h)²+k
The general equation of hyperbola is:-
[tex]\frac{(x-h)^{2}}{a^{2}}-\frac{(y-k)^{2}}{{b^{2}}}=1[/tex]
The equation of conic section is: x^2/36-y^2=1
[tex]\frac{(x-0)^{2}}{36}-\frac{(y-0)^{2}}{1}}=1[/tex]
[tex]\frac{(x-0)^{2}}{6^{2}}-\frac{(y-0)^{2}}{{1^{2}}}=1[/tex]
Hence, this is hyperbola.
Answer: Hyperbola Option (D)
a marble is selected at random from a jar containing 6 red marbles 3 yellow Marbles and 2 green marbles what are the odds in favor of selecting a red marble
Answers
Total Red marbles = 6
P(red) = 6/11
The function P(x) = 3,113(1.2795)^x models the population, in millions, of California since 1990. Use the function to complete the following.
The number 3.113 represents
(a) The current population, in millions, of California.
(b) The population, in millions, of California in 1990
(c) The amount, in millions, that the population increases each year
The number 1.2795 represents
(a) The population, in millions, of California in 1990.
(b) The amount, in millions, that the population increases each year.
(c) The rate the population of California is increasing each year.
Answers
y = A (b) ^ x
Where,
A: initial amount
b: growth rate
x: time
We then have the following function:
P (x) = 3,113 (1.2795) ^ x
Where,
The number 3.113 represents:
(b) The population, in millions, of California in 1990
The number 1.2795 represents:
(c) The rate of the population of California is increasing each year.
Unit rate of 3 1/2 and 1/4
Answers
3 1/2 ÷ 1 1/47/2 ÷ 5/47/2 · 4/528/102.8 2.8 is the unit rate
Have a nice day
A company has a minimum required rate of return of 9% and is considering investing in a project that costs $350,000 and is expected to generate cash inflows of $140,000 at the end of each year for three years. the net present value of this project is
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NPV = - Cost + present value of all cash flows
Cost = $350,000
Present value of all cash flows = C*{[1-(1+r)^-n]/r}
Where C = Yearly cash flows = $140,000, r = discount rate = 9%, n = time of generating cash flows = 3 years.
Therefore,
NPV = -350,000 + 140,000*{[1-(1+0.09)^-3]/0.09} = $4,381.25
hey can you please help me posted picture of question
Answers
C (t) = 6t - 180
Clearing t we have:
6t = c + 180
t = c / 6 + 180/6
Rewriting:
t (c) = (c + 180) / 6
Answer:
The inverse function for this case is given by:
t (c) = (c + 180) / 6
option A
Write the related series for the finite sequence –7, –10, –13, . . ., –22. then find the sum.–7 + (–10) + (–13) + (–16) + (–19) + (–22) = –87
–7 + (–10) + (–13) + (–15) + (–18) + (–22) = –85
–7 + (–10) + (–13) + (–14) + (–18) + (–22) = –84
–7 + (–10) + (–13) + (–17) + (–20) + (–22) = –89
Answers
Answer: [tex]-7+(-10)+(-13)+(-16)+(-19)+(-22)=-87[/tex]
Step-by-step explanation:
Given finite sequence : -7, -10, -13, . . ., -22.
Difference between first and second term=[tex]-10-(-7)=-10+7=-3[/tex]
Difference between second and third term =[tex]-13-(-10)=-13+10=-3[/tex]
Hence, the common difference = -3
The next term after -13 =[tex]-13+(-3)=-13-3=-16[/tex]
The next term after -16 =[tex]-16+(-3)=-16-3=-19[/tex]
The next term after -19 =[tex]-19+(-3)=-19-3=-22[/tex].........which is the last term of the sequence.
Now, the sum of the given sequence =[tex]-7+(-10)+ (-13) + (-16) + (-19) + (-22) [/tex]
[tex]=-7-10-13-16-19-22= -87[/tex]
Juan is spinning a wheel with 4 unequal spaces marked with values of $200, $300, $400, and $600. The probability of landing on $200 is 2/9 . The probability of landing on $300 is 4/9 . The probability of landing on $400 is 2/9. The probability of landing on $600 is 1/9 . The expected value of spinning the wheel once is $, and the expected value of spinning the wheel three times is
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The expected value of spinning the wheel is given by:
E(x)=2/9(200)+4/9(300)+2/9(400)+1/9(600)
E(x)=44 4/9+133 1/3+88 8/9+66 2/3
E(x)=333 1/3
b] The expected value of spinning the wheel thrice will be:
(expected value of spinning once)*(number of spins)
=333 1/3*3
=1000/3*3
=1000
Answer:
333 and 1000
Step-by-step explanation:
Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1
Answers
[tex]f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}[/tex]
For [tex]f(x)[/tex] to be differentiable, it necessarily has to be continuous. For this condition to be met, we need
[tex]\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)[/tex]
[tex]\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)[/tex]
[tex]\iff2=b+c[/tex]
For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have
[tex]f'(x)=\begin{cases}2&\text{for }x<1\\2bx+c&\text{for }x>1\end{cases}[/tex]
[tex]\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)[/tex]
[tex]\iff2=2b+c[/tex]
Now we solve for [tex]b[/tex] and [tex]c[/tex]:
[tex]\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2[/tex]
To make the function differentiable, we need to make it continuous at x = 1 by ensuring that both sides of the function have the same value. The values of the constants b and c are b = 1 - c, where c is any real number.
Explanation:The function given is:
f(x)={2xbx2+cxx ≤ 1 x > 1
To determine the values of the constants b and c such that the function is differentiable, we need to make sure that the function is continuous at x = 1 and both sides of the function have the same derivative at x = 1.
To do this, we need to find the limits of the function as x approaches 1 from both the left and the right sides.
From the given function, we can see that when x ≤ 1, the function is a polynomial and is differentiable for any value of b and c.
However, when x > 1, the function is not differentiable unless we choose the values of b and c such that the function becomes continuous at x = 1.
To make the function continuous, we need to make sure that both sides of the function have the same value at x = 1.
Substituting x = 1 into the given function, we have 2b(1)(1) + c(1) = b + c = 1 (since the function should be continuous at x = 1).
Therefore, the values of the constants b and c that make the function differentiable are b = 1 - c, where c is any real number.
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If we reject the null hypothesis, h0: ρ = 0 , what can we conclude about the population correlation coefficient?
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Jim picked a card from a standard deck. What is the probability that Jim picked a heart or an ace?
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Answer:
The answer is actually 16/52.
Step-by-step explanation:
There are 13 hearts and 4 aces. However, one of the 4 aces is a heart, so there would only be 3 other aces.
13 hearts + 3 other aces = 16
There are 52 cards in a deck, so the probability would be 16/52.
Q # 17 please solve the figures
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Angle C is congruent with angle X, angle D is congruent with angle Y, angle A is congruent with angle Z
Christina goes to the market with $50. She buys one papaya for $20 and spends the rest of the money on bananas. Each banana cost $6. Write an inequality for the number of bananas purchased
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The first term in a sequence is -2 and the common ratio is 3. What is the sixth term of the sequence?
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The n-th term of a geometric sequence with initial value a and common ratio r is given by:
[tex]a_n=a_1\cdot r^{n-1}\ for\ n\in\mathbb{N^+}[/tex]
We have:
[tex]a_1=-2;\ r=3;\ n=6[/tex]
Substitute:
[tex]a_6=-2\cdot3^{6-1}=-2\cdot3^5=-2\cdot243=-486[/tex]
Answer: The sixth term is equal -486.
10) Given that two tangent lines are constructed from the shared point A outside a circle with the center O and points of tangency B and C, what is the relationship between ∠OAB and ∠OAC?
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_____
The angles are corresponding parts of congruent triangles (CPCT). Triangles OBA and OCA are right triangles congruent by the HL postulate. The "H" is segment OA. The "L" is the radius, OB or OC. Of course the angles at B and C are 90° as with any radius and tangent line.
How do you solve this
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what kinds of symmetry does the capital letter E have
Answers
The capital letter E has three kinds of symmetry(s):
1) Horizontal Line of Symmetry
2) One line of symmetry (NOT meaning they only have one type of symmetry, they have one LINE of symmetry)
3) Reflectional Symmetry (If you were to flip it on it's side, and cut it in half, then both sides would be the same)
[:] DustinBR [:]
Volume and Surface Area
Math help 100 points
Answers
volume smaller solid=512 cm³
volume larger solid=2197 cm³
we know that
volume larger solid=[scale factor]³*volume smaller solid
scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625
Part 2)
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64
Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
surface area larger solid is 2535 cm²
Answer:
1 - V = Smaller solid=512 cm³
V = Larger solid=2197 cm³
2- 1.625² = 2.64
3 - SA of big solid is found 2535 cm²