Answers
Answer: A
O The median-median regression line is a better prediction.
Step-by-step explanation:
The given median-median line for a dataset is
y 1.133x+ 0.489
The least-squares regression line for the same dataset is
y = 1.068x0.731
The given point is (50,60).
Substitute x=50 in each given equation.
y = 1.133(50) + 0.489
57.139
y = 1.068(50) + 0.731 = 54.131
Since the value of median-median line at x=50 is near to 60 than the value of least-squares regression at x=50.
The median-median line regression line is a better prediction. Therefore the correct option is A.
Related Questions
5 1/2 ÷ 3 2/3 + 1 4/5 , giving answer as a fraction in lowest terms
Answers
Answer:
6761/320
Step-by-step explanation:
[(51/2)÷32/3]+14/5
=6761/320
A piano instructor charges students a one-time fee for sheet music and an hourly rate for lessons. The graph below shows the total cost for a student who has taken x lessons.
Answers
Two points passing through the line are (2, 80) and (4, 140)
Let the one time fee = $b
Hourly charges for the lessons = $x
Equation of the line will be,
y = mx + b
Slope of the line 'm' =
m =
m =
m = 30
y = 30x + b
For point (2, 80),
80 = 30(2) + b
b = 80 - 60
b = 20
Therefore, one time fee charged by the instructor = $20
Since instructor put a coupon to waive off the one time fee, value of the coupon will be = $20
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. what is the probability that the selected marble is green?
Answers
Answer:
1/3
Step-by-step explanation:
3x3= 9
Make 3/9 a fraction and simplify it and it would give you 1/3
For every 2 gallons of vanilla ice cream a shop sells, they sell 11 gallons of chocolate ice cream. If they sell 16 gallons of vanilla ice cream, how many gallons of chocolate ice cream is sold?
Answers
Answer: 88 gallons
Step-by-step explanation:
Every 2 vanillas = 11 chocolates
so 16 vanillas = 88 chocolates
i did this by multiplying both numbers by 8
sorry if this is wrong
!!!need help please !!!
Answers
Answer:
Step-by-step explanation:
log(3) = 0.477
log(8.2) = 0.913
log(0.04) = -1.397
Find the median, mean, and range.
14, 1, 16, 6, 15, 2
Answers
Answer:
Median: 10
Mean: 9
Range: 15
Step-by-step explanation:
Have a good day :)
Help me it says use the figure for 1 and 2
Answers
3.15 Linear Equations and Inequalities (SHOW YOUR WORK)
1.) Use the linear graph to answer the question.
A.) Identify the quadrant in which each point lies.
Point A:_____
Point B:_____
Answers
Answer:
A- Quadrant one.
B- Quadrant three.
Step-by-step explanation:
So, the quadrants go counter-clockwise, starting at the top right which is Quadrant one. Therefore, A is in one. Using that information, we can assume that B is in Quadrant three.
The equation for the line of best fit is y=–0.7x+39. In this equation, what does the y-intercept of 39 tell you?
Answers
Rewrite the expression 1/x^2/3 in the form x^n
Answers
Step-by-step explanation:
Rewrite the expression 1/x^2/3 in the form x^nRewrite the expression 1/x^2/3 in the form x^n
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression [tex]\dfrac{1}{x^{\frac23}}[/tex] can be written in the form of xⁿ using the exponential property 1/x=x⁻¹. Therefore, the expression can be rewritten as,
[tex]\dfrac{1}{x^{\frac23}}\\\\= x^{-\frac23}[/tex]
= x⁻⁰°⁶⁶
Hence, the given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.
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What are the fourth roots of −3+33√i ?
Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure in simplest form.
Answers
Answer:
In order of increasing angle measure, the fourth roots of -3 + 3√3·i are presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left({-\dfrac{\pi}{12} } \right) + i \cdot sin\left(-\dfrac{\pi}{12} } \right) \right][/tex]
[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{5 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{5 \cdot\pi}{12} } \right) \right][/tex]
[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{11 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{11 \cdot\pi}{12} } \right) \right][/tex]
[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{17 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{17 \cdot\pi}{12} } \right) \right][/tex]
Step-by-step explanation:
The root of a complex number a + b·i is given as follows;
r = √(a² + b²)
θ = arctan(b/a)
The roots are;
[tex]\sqrt[n]{r}[/tex]·[cos((θ + 2·k·π)/n) + i·sin((θ + 2·k·π)/n)]
Where;
k = 0, 1, 2,..., n -2, n - 1
For z = -3 + 3√3·i, we have;
r = √((-3)² + (3·√3)²) = 6
θ = arctan((3·√3)/(-3)) = -π/3 (-60°)
Therefore, we have;
[tex]\sqrt[4]{-3 + 3 \cdot \sqrt{3} \cdot i \right)} = \sqrt[4]{6} \cdot \left[cos\left(\dfrac{-60 + 2\cdot k \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-60 + 2\cdot k \cdot \pi}{4} \right) \right][/tex]
When k = 0, the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 0 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 0 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({-\dfrac{\pi}{12} } \right) + i \cdot sin\left(-\dfrac{\pi}{12} } \right) \right][/tex]
When k = 1 the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 1 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 1 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{5 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{5 \cdot\pi}{12} } \right) \right][/tex]
When k = 2, the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 2 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 2 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{11 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{11 \cdot\pi}{12} } \right) \right][/tex]
When k = 3, the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 3 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 3 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{17 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{17 \cdot\pi}{12} } \right) \right][/tex]
Answer:
Step-by-step explanation:
Just took the test.
1) 4sqrt6 cis(pie/6)
2) 4sqrt6 cis (2pie/3)
3) 4sqrt6 cis(7pie/6)
4) 4sqrt6 cis (5pie/3)
How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example
Answers
Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
4. A car is travelling 75 kilometers per hour. How many meters does the car travel in one
minute?
Answers
Answer:
1250 Meters
Step-by-step explanation:
75 kilometers divided by 60 minutes is 1.25 kilometers per minute.
1 kilometer = 1000 meters
Answer:
75km/hr =75000
60 sec =1min,60 min=1hr
75000÷60=1250m
Which of the following is closest to the circumference of a circle whose radius is 21 m
Answers
Here Is your answer!!!!
If 36 ÷ 9 = 4, which numbers could be placed in the blanks in the order shown to create a corresponding multiplication fact? _____ × _____ = _____
A) 4, 9, 36
B) 4, 36, 9
C) 9, 36, 4
D) 36, 9, 4
Answers
Answer:
a. 4×9=36
glad to help!!
Step-by-step explanation:
10. Fill in the blanks so as to make the statement true:
(i) A number which can be expressed in the form m/n, where m and n are
integers and n is not equal to zero, is called a ________.
(ii) If the integers m and n have no common divisor other than 1 and n is
positive, then the rational number m/n is said to be in the ________.
(iii) Two rational numbers are said to be equal, if they have the same
________ form.
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/______
(v) lf p and q are positive integers , then m/n is a ________ rational
number and m/-n is a ________ rational number.
(vi) The standard form of -1 is ________.
(vii) If m/n is a rational number, then n cannot be ________
(viii) Two rational numbers with different numerators are equal, if their
numerators are in the same ________ as their denominators.
Answers
Step-by-step explanation:
(I) A number which can be expressed in the form m/n, where m and n are integers and n is not equal to zero, is called a Rational Number .
(ii) If the integers m and n have no common divisor other than 1 and n is positive, then the rational number m/n is said to be in the Simplest form .
(iii) Two rational numbers are said to be equal, if they have the same Simplest form .
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/( y ÷ k) .
(v) The standard form of -1 is -1/1
(vi) If m/n is a rational number, then n cannot be 0
(vii) Two rational numbers with different numerators are equal, if their numerators are in the same ratio as their denominators.
The model represents an inequality. What is the solution set for the inequality?
Answers
Given:
The figure of an algebraic tiles model of an inequality.
To find:
The inequality for the given model.
Solution:
On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,
[tex]LHS=8(x)+12(1)[/tex]
[tex]LHS=8x+12[/tex]
On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,
[tex]RHS=12(-1)[/tex]
[tex]RHS=-12[/tex]
Now, the inequality for the given model is:
[tex]8x+12\geq -12[/tex]
Therefore, the required inequality for the given model is [tex]8x+12\geq -12[/tex].
Forty nine minus twenty five b squared in factored form
Answers
Step-by-step explanation:
Hoping this will help you on your journey through brainly!
Box 5:
Box 6:
Box 7:
Boz 8:
Answers
Help me please
Point K(–5, 2) is the midpoint of line segment Y Z , with endpoint Y(1, –3). What are the coordinates of Z?
Answers
What is the missing length?
Answers
Answer:
16
Step-by-step explanation:
The area of a triangle is
A =1/2 bh where b is the base length and h is the height
Substitute the values in
69.6 = 1/2 ( 8.7) * p
69.6 = 4.35p
Divide each side by 4.35
69.6/4.35 = p
16 = p
The formula for the area of a triangle is: A = 1/2 * base * height.
Using this formula, let's plug in what we know.
69.6 = 1/2 * 8.7 * height
Next, we'll go ahead and get rid of that 1/2 by multiplying everything by its reciprocal, 2.
139.2 = 8.7 * height
Then, all that's left is to divide both sides by 8.7.
Height = 16 yards
Hope this helps!! :)
Factor 5x^2 + 16x – 16
Answers
Answer:
(x + 4)(5x - 4)
Step-by-step explanation:
[tex]5x^2 + 16x – 16 \\ = 5x^2 + 20x - 4x– 16 \\ = 5x(x + 4) - 4(x + 4) \\ = (x + 4)(5x - 4)[/tex]
Answer:
(5x - 4) • (x + 4)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 5 • -16 = -80
Find two factors of -80 whose sum equals the coefficient of the middle term, which is 16 .
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 20
5x2 - 4x + 20x - 16
Add up the first 2 terms, pulling out like factors :
x • (5x-4)
Add up the last 2 terms, pulling out common factors :
4 • (5x-4)
Add up the four terms of step 4 :
(x+4) • (5x-4)
Which is the desired factorization
Find the exact value of cot 330° in simplest form with a rational denominator.
Answers
Answer:
[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]
Step-by-step explanation:
The cotangent function can be rewritten by trigonometric relations, that is:
[tex]\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}}[/tex] (1)
By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:
[tex]\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ}[/tex] (2)
[tex]\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ}[/tex] (3)
By (2) and (3) in (1), we have following expression:
[tex]\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}[/tex]
If we know that [tex]\sin 30^{\circ} = \frac{1}{2}[/tex] and [tex]\cos 30^{\circ} = \frac{\sqrt{3}}{2}[/tex], then the result of the trigonometric expression is:
[tex]\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }[/tex]
[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]
The exact value of cot 330° with a rational denominator is √3.
To find the exact value of cot 330°, we can first determine the reference angle. The reference angle for 330° is 30°, as it is the angle between the terminal side of 330° and the x-axis.
Cotangent (cot) is the reciprocal of the tangent function, so we need to find the tangent of the reference angle, which is tan 30°. The tangent of 30° is √3/3.
Since cot is the reciprocal of tan, the cotangent of 330° is the reciprocal of √3/3, which is 3/√3.
To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator, which is √3.
(3/√3) x (√3/√3) = 3√3/3
Simplifying further, we can cancel out the common factor of 3:
(3√3/3) = √3
Therefore, the exact value of cot 330° with a rational denominator is √3.
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A goat is tethered to a rope that is 10 ft. long. In terms of Tt, what is the maximum area the goat can graze? A) 10pi; ft? B) 25 ft2 C) 5 Ont ft2 D) 100Tt ft2
Answers
Answer: D trust me it is 100
Step-by-step explanation:
The maximum area the goat can graze is 100Tt ft2, the correct option is D.
Given
A goat is tethered to a rope that is 10 ft. long.
Area of the circleThe area of the circle is equal to the pie times of the square of the radius of the circle.
The maximum area that the goat can graze in the area of the circle that can be formed due to its circular movement.
The length of the rope represents the radius of the circle, so that;
[tex]\rm Area \ the \ goat \ can \ graze =r^2 \times Tt\\\\ Area \ the \ goat \ can \ graze =(10)2 \times Tt\\\\Area \ the \ goat \ can \ graze =100 \ Tt\\[/tex]
Hence, the maximum area the goat can graze is 100Tt ft2.
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I need help!!! Like right now
Answers
Evaluate the expression 8a+11−3b for a = 4 and b = 2.
Answers
Answer: 37
8(4)+11-3(2)
32+11-6
43-6
37
A group of New York City residents are surveyed. They are asked if they are going to watch the New York City Marathon in person. Of the people surveyed, 68 men and 45 women will watch the marathon, while 100 men and 192 women will not watch the marathon. Place each joint and marginal relative frequency in the correct location in the two-way table.
Answers
Answer:3
Step-by-step explanation:
please help me
no links please and thank you :)
Answers
If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the surface area?
Answers
Answer:
The answer is 28.
Step-by-step explanation:
Add all of them.
(L/ length) 12.
(W/ width) 10
(H/ height) 6
12 + 10 + 6 = 28
I hope this helps
Answer:
504 inches
Step-by-step explanation:
2(lb+hb+hl)
length = 12
height = 6
width = 10
2 (120 + 60+ 72)
2( 252
= 504
Help pleasee asappp sorry
Answers
Answer:
A
Step-by-step explanation: