Answer:
B. False
Step-by-step explanation:
A moderate positive correlation, e.g. r = 0.5 or 0.6, shows that there is some relationship between driving faster and accidents that result in more severe injuries. But that relationship is not very strong or solid and can result from other variables being involved or simply randomness. You cannot affirm that X causes Y if the correlation is not strong.
Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency
3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5
The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.
We need to complete the grouped frequency distribution for the data.
What is the grouped frequency distribution?In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.
Now, the frequency distribution for the given intervals is as follows:
That is, for intervals 1 to 5 the frequency is 2.
For intervals 5 to 10 the frequency is 4.
For intervals 11 to 15 the frequency is 2.
For intervals 16 to 20 the frequency is 2.
Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
To learn more about the grouped frequency distribution visit:
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Select the best answer for the question.
18. Simplify 12 - (-8) x 4 = ?
O A. 44
B. 80
O C. 16
O D.-20
Mark for review (Will be highlighted on the review page)
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Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: A(-1,2) B(-1,5) C(-3,5) D(-3,2) A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2)
What transformation did Kim perform to create rectangle A'B'C'D? (5 points)
A)Reflection across the y-axis
B)Rotation of 270 degrees counterclockwise about the origin
C)Reflection across the x-axis
D)Rotation of 90 degrees counterclockwise about the origin
Answer:
C) Reflection across the x-axis.
Step-by-step explanation:
From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:
[tex]P'(x,y) = (x, -y)[/tex] (1)
If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:
[tex]A'(x,y) = (-1, -2)[/tex]
[tex]B'(x,y) = (-1,-5)[/tex]
[tex]C'(x,y) = (-3,-5)[/tex]
[tex]D'(x,y) = (-3,-2)[/tex]
In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.
This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.
Given:
Transform rectangle ABCD to rectangle A'B'C'D',
The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).
The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).
We need to determined the transformation that Kim perform to create rectangle A'B'C'D.
From Linear Algebra we define the reflection across the x-axis is for,
P(x,y) = (x,y)
P(x,y) = (x,-y) .....(1)
It is given that A(-1,2), B(-1,5), C(-3,5) and D(-3,2).
Therefore from equation (1) above point becomes,
A'(x,y) = (-1,-2)
B'(x,y) =(-1,-5)
C'(x,y) =(-3,-5)
D'(x,y) =(-3,-2)
Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.
For further details, please refer this link:
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I will GIVE BRAILYEST
Mario has 20 yards to mow this week. By Wednesday, he had mowed 50%or the yards. How many yards had he mowed by Wednesday?
2
5
10
15
Answer: 10 yards
Step-by-step explanation: 50% = 1/2
1/2 x 20 = 10
15 yeards mowed by Wednesday
Please give me the correct answer
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.
what the hell is 5+5
29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
graph the line whose x-intercept is -6 and whose y-intercept is -7
9514 1404 393
Answer:
see below
Step-by-step explanation:
When the intercepts are given, plot those and draw a line through them.
_____
Additional comment
The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.
what fraction is equal to 5%
Answer:
5/100
1/20
Step-by-step explanation:
Answer: 5/100
Step-by-step explanation:
A florist makes a bouquet made up of 7 roes 12 carnations and 5 lilies what is the ratio of roses to flowers that are not roses
answear is 7/17 hope its useful
There are 2400 students in a school 45% of them are boys how many boys are in the school
Show your work in the answer
Answer:
1080 boys
Step-by-step explanation:
2400 x 0.45 = 1080
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
Part A. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)x2 + 2y2 = 17k2Part B. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y2 = 7kx3
Answer:
Following are the solution to the question:
Step-by-step explanation:
The objective is to find the orthogonal trajectory of the family curves:
[tex]x^2+2y^2=17k^2[/tex]
The family curves are: [tex]x^2 + 2y^2=17k^2[/tex]
Differentiate the equation with the respect of x.
[tex]\to x^2+2y^2=17k^2 \\\\\to 2x+4y \frac{dy}{dx} =0\\\\\to \frac{dy}{dx} =- \frac{2x}{4y}\\\\\to \frac{dy}{dx} =- \frac{x}{2y}[/tex]
The negative reciprocal is:
[tex]\to \frac{dy}{dx} =-\frac{1}{-\frac{x}{2y}}\\\\\to \frac{dy}{dx} = \frac{2y}{x}[/tex]
Integration of the above equation:
[tex]\to \frac{dy}{dx} = \frac{2y}{x} \\\\\to \int \frac{dy}{2y} = \int \frac{dx}{x}\\\\\to \frac{1}{2} \log y = \log x + \log C\\\\\to \log y = 2 \log x + 2\log C \\\\\to \log y = \log x^2 +\log C^2 \\\\\to y = Ax^2 \ \ \ \ \ \ \ \ \ (A=C^2)[/tex]
Hence, the orthogonal trajectory of the family of the curves [tex]x^2 + 2y^2 =17k^2 \ \ is \ \ y=Ax^2[/tex]
Which equation is represented by the graph below
The table below shows the number of eggs needed for several servings of a recipe.
Number of
Eggs
Servings
3
18
6
36
9
54
How many eggs are needed for 90 servings?
A. 12 eggs
B. 15 eggs
O C. 18 eggs
OD. 21 eggs
What the equivalent (2×)(5y)(5y)
Answer:
50xy
Step-by-step explanation:
(2x)(5y)(5y)
~Simplify
(2x)(25y)
~Multiply
50xy
Best of Luck!
Tell whether the relation is a function. Explain.
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation:
30 PTS
a. 59
b. 36.9
c. 53.1
d. 30.1
Answer:
c)
Step-by-step explanation:
PLS i need help !
Rewrite the equation in vertex form and identify the vertex, the axis of symmetry, and the y-intercept. y=-2x^2+12x-26
Answer:
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept of the function is -26.
Step-by-step explanation:
The vertex form of the second order polynomial is defined by the following expression:
[tex]y-k = C\cdot (x-h)^{2}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h,k[/tex] - Coordinates of the vertex, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless.
Let [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex], then we proceed to present the produre for the determination of the vertex form:
1) [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex] Given
2) [tex]y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex]y = (-1)\cdot (2\cdot x^{2}-12\cdot x +26)[/tex] Distributive property
4) [tex]y = [(-1)\cdot (2)]\cdot (x^{2}-6\cdot x +13)[/tex] Associative and distributive properties
5) [tex]y = (-2)\cdot [(x^{2}-6\cdot x+9)+4][/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
6) [tex]y = (-2) \cdot [(x-3)^{2}+4][/tex] Perfect square trinomial
7) [tex]y = (-2)\cdot (x-3)^{2}+4\cdot (-2)[/tex] Distributive property
8) [tex]y = (-2)\cdot (x-3)^{2}+(-8)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
9) [tex]y +8= (-2)\cdot (x-3)^{2}[/tex] Compatibility of addition/Existence of the additive inverse/Modulative property/Result.
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept is the value of the polynomial when [tex]x = 0[/tex], then, the value is:
[tex]y = -2\cdot (0)^{2}+12\cdot (0) -26[/tex]
[tex]y = -26[/tex]
The y-intercept of the function is -26.
а) 6x = 7y
Can someone help
Answer:
36 x 2 - 49 y 2
Step-by-step explanation:
6 x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
please help will mark BRAINLIEST
What is 20% of $10
if 1 euro is 1.07$ us dollars then what is 4.00 us dollars in euros
please help
Answer:
3.26 Euro I believe.
Step-by-step explanation:
say a number between 1 and 10 if u guss right u get brainlist
I need this fast please
Answer: It is B/Spinner 2
i need some help here
Answer:
the answer above is correct
Answer:
boxes
7
8
58.1
119.7
Step-by-step explanation:
look when u solve this it equals
8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract
119.7-61.6
58.1
just plug in
8.3(7)+7.7(8)=____+61.6
plug in
58.1+61.6
119.7