Answer:
Option B
Step-by-step explanation:
Given
Two Data sets
Class A :{ 2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B : {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
In order to check the options we will have to find the mean and median of both data sets.
So for Class A:
Mean= x =(Sum of values)/(Number of values)
=96/20
=4.8
For median the data has to be arranged in ascending order, so
2, 2,3,3,3,4,4,4,4,5,5,5,5,6,6,6,7,7,7,8
Median will be the average of middle two values as the number of items are odd.
Median=(5+5)/2
=10/2
=5
Range = 8-2 = 6
For Class B:
Mean= x =(Sum of values)/(Number of values)
=80/20
=4
For median, arranging the values
2,2,2,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7
Median=(4+4)/2
=8/2
=4
Range = 7-2 = 5
We get,
Mean of class A > Mean of Class B
Median of Class A > Median of Class B
Range of Class A > Range of Class B
We observe that only option B is correct for the given data sets..
Find the quotient of 4 and 0
Answer:
0
Step-by-step explanation:
quotient means to divide
4/0=0
The answer is 0
4 divided by 0 is 0
Harry baked a pan of brownies. He gave
1/6 of the pan to his brother, and 2/6 of the
pan to his mom. What fraction of the pan
did Harry give away?
Harry gave away 3/6, or half of the brownies
1/6 plus 2/6 equals 3/6
Harry gave away 3/6 or 1/3 fractions of the pan to his mom and his brother.
What is the addition of fraction?Harry baked a pan of brownies for his brother=1/6
Harry baked a pan of brownies for his mom=2/6
Total pan of brownies harry gave = 1/6+2/6
3/6=1/3
What is problem-solving?
Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
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Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?
Final answer:
Logan can read 80 pages in 2 hours.
Explanation:
To find out how many pages Logan can read in 2 hours, we need to calculate the total number of minutes in 2 hours, which is 120 minutes. Then, we can multiply the rate at which Logan reads, which is 2/3 page per minute, by the total number of minutes to get the answer.
So, Logan can read:
(2/3) x 120 = 80 pages
Therefore, Logan can read 80 pages in 2 hours.
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Random answers will be reported!
Answer:
C) 0.5
Step-by-step explanation:
Since DE is parallel to AB, angle FDE = ABF and DEF = angle FAB
In fact, both triangles (ABF and DEF) are similar to each other because their interior angles are identical.
So, if sin(A) = 0.5, sin(E) = 0.5 too.
Answer:
C.
0.5
Step-by-step explanation:
Help plz I don’t remember the formula we did this so long ago
Answer:
45 cm^2
Step-by-step explanation:
The formula you have written in pencil is correct.
Area = B*H
B = 9
H = 5
Area = 5*9
Area = 45 cm^2
Can someone help me
Answer:
16682.7 cm³
Step-by-step explanation:
The total volume is the volume of the cone plus half the volume of a sphere:
V = ⅓ π r² h + ½ (4/3 π r³)
V = ⅓ π r² h + ⅔ π r³
V = ⅓ π r² (h + 2r)
Given that r = 4.15 cm and h = 10.2 cm:
V = ⅓ π (4.15)² (10.2 + 2×4.15)
V ≈ 333.65
The volume needed for 50 cones is therefore:
50V ≈ 16682.7 cm³
solve log(9/x) when x=9
Answer:
0
Step-by-step explanation:
Write in vertex form y= -3x^2-18x-31
Answer:
I'm not sure if your asking for an entire equation but the points for the vertex would be (-3,-4)
ANSWER
[tex]y = - 3( {x + 3)}^{2} - 4[/tex]
EXPLANATION
The given function is
[tex]y = - 3 {x}^{2} - 18x - 31[/tex]
Factor -3
[tex]y = - 3( {x}^{2} + 6x) - 31[/tex]
Add and subtract the square of half the coefficient of x.
[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) - - 3( {3)}^{2} - 31[/tex]
[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) + 27 - 31[/tex]
Apply perfect squares,
[tex]y = - 3( {x +3)}^{2} - 4[/tex]
The vertex form is:
[tex]y = - 3( {x +3)}^{2} - 4[/tex]
write the following parametric equations as a polar equation x=t^2 y=2t
Answer:
[tex]r=4\csc \theta \cot\theta[/tex]
Step-by-step explanation:
The given parametric equations are;
[tex]x=t^2[/tex]
[tex]y=2t[/tex]
We make t the subject in the second equation to get:
[tex]t=\frac{y}{2}[/tex]
We substitute into the first equation to get:
[tex]x=(\frac{y}{2})^2[/tex]
We use the relation:
[tex]x=r\cos \theta[/tex] and [tex]y=r\sin \theta[/tex]
[tex]r\cos \theta=(\frac{r\sin \theta}{2})^2[/tex]
[tex]r\cos \theta=\frac{r^2\sin^2 \theta}{4}[/tex]
[tex]r=4\csc \theta \cot\theta[/tex]
An equation is formed of two equal expressions. The polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The following parametric equation x=t² and y=2t in the form of a polar equation can be written as,
y=2t
t = y/2
Substituting the value of y from the second equation in the first,
x = (y/2)²
Using the basic relation we can write, the value of x and y as,
x = r cosθ
y = r sinθ
substitute the value of x and y,
r cosθ = [(r sinθ)/2]
r sinθ = (r²sin²θ)/4
r = 4cosecθ cotθ
Hence, the polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.
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The difference between two times six and five
Answer:
The difference between 2 × 6 and 2 × 5 is ...
2 × 5 = 10
And,
2 × 6 = 12
So if you subtract 12 - 10
= 2
Therefor, the difference is by 2
* Hopefully this helps:) Mark me the brainliest:)!!
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Have a good day :)!!
The difference between two times six and five is calculated by first multiplying two by six to get twelve, then subtracting five from twelve, resulting in seven.
The student has asked about the difference between two times six and five. To solve this, we first calculate two times six, which gives us twelve. Then, we subtract five from twelve to find the difference. Therefore, the calculation we need to make is 12 - 5 = 7.
So, the difference between two times six and five is seven.
PLEASE ANSWER THIS FOR 98 POINTS!!! I REALLY NEED THIS!!!! I'LL GIVE U BRRAINLIEST IF U GET IT!!!! In an office, each light panel holds two light bulbs. Which of the following shows how the number of light bulbs, y, changes as the number of light panels, x, changes? A.
Y
B.
X
C.
Z
D.
W
Answer:
the second one with points 1,2 and 2,4
Step-by-step explanation:
The graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2. The correct graph id graph 2
How to determine the correct graphSince each light panel holds two light bulbs, the number of light bulbs, y, is directly proportional to the number of light panels, x. This means that as the number of light panels increases, the number of light bulbs will also increase in a linear manner.
The relationship can be represented by the equation:
y = 2x
Where y represents the number of light bulbs and x represents the number of light panels.
The graph representing the relationship between the number of light panels, x, and the number of light bulbs, y, will be a straight line.
In this case, the line will have a positive slope of 2 since each light panel holds two light bulbs. This means that for every increase of one unit in the number of light panels, the number of light bulbs will increase by two units.
The graph will pass through the origin (0, 0) since when there are no light panels (x = 0), there will be no light bulbs (y = 0).
As x increases, y will also increase in a linear manner. The line will extend indefinitely in the positive direction in both the x-axis and y-axis, indicating that the relationship continues without any upper limit.
Visually, the graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2.
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In a class experiment, Debra finds that the probability that a student has more than three siblings is 3/25 . If the school population is 350, how many students would we expect to have more than three siblings, based on Debra's experiment? A)15 B)25 C)35 D)42
Answer:
choice D) 42 is the final answer.
Step-by-step explanation:
Population of the school = 350
Debra finds that the probability that a student has more than three siblings is [tex]=\left(\frac{3}{25}\right)[/tex]
Then the number of students that we expect to have more than three siblings, based on Debra's experiment [tex]=350\cdot\left(\frac{3}{25}\right)[/tex]
[tex]=\left(\frac{1050}{25}\right)[/tex]
[tex]=42[/tex]
Hence choice D) 42 is the final answer.
What is the simplified form of the following expression? Assume y=0 ^3 sqrt 12x^2/16y
For this case we must simplify the following expression:
[tex]\sqrt [3] {\frac {12x ^ 2} {16y}}[/tex]
We rewrite the expression as:
[tex]\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\frac{\sqrt[3]{3x^2}}{\sqrt[3]{4y}}=[/tex]
We multiply the numerator and denominator by:
[tex](\sqrt[3]{4y})^2:\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{\sqrt[3]{4y}*(\sqrt[3]{4y})^2}=[/tex]
We use the rule of power[tex]a ^ n * a ^ m = a ^ {n + m}[/tex] in the denominator:
[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{(\sqrt[3]{4y})^3}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{4y}=[/tex]
Move the exponent within the radical:
[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{16y^2}}{4y}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{2^3*(2y^2)}}{4y}=[/tex]
[tex]\frac{2\sqrt[3]{3x^2}*(\sqrt[3]{(2y^2)}}{4y}=\\\frac{2\sqrt[3]{6x^2*y^2}}{4y}=[/tex]
[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]
Answer:
[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]
Answer: choice D
Step-by-step explanation: took it on edge
Which expression is equivalent to...? Assume... screenshots attached, please help!
Answer:
[tex]\frac{\sqrt[3]{5} }{3x}[/tex]
Step-by-step explanation:
Ok, let's do this step by step....
[tex]\sqrt[3]{\frac{10x^{5} }{54x^{8} } }[/tex]
Let's first simplify the x's:
[tex]\sqrt[3]{\frac{10}{54x^{3} } }[/tex]
Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.
[tex]\sqrt[3]{\frac{10}{2 * 27x^{3} } } = \sqrt[3]{\frac{5}{27x^{3} } }[/tex]
Now, we can rewrite this as the following and solve the bottom part:
[tex]\frac{\sqrt[3]{5} }{\sqrt[3]{27x^{3} } } = \frac{\sqrt[3]{5} }{3 \sqrt[3]{x^{3} } } = \frac{\sqrt[3]{5} }{3x}[/tex]
The solution is
[tex]\frac{\sqrt[3]{5} }{3x}[/tex]
Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1
ANSWER
Vertical asymptote:
x=1
Horizontal asymptote:
y=1
EXPLANATION
The given rational function is
[tex]h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 } [/tex]
[tex]h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)} [/tex]
[tex]h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)} [/tex]
[tex]h(x) = \frac{ x + 1}{ {x} - 1} [/tex]
The vertical asymptote occurs at
[tex] {x} - 1 = 0[/tex]
[tex]x = 1[/tex]
The vertical asymptotes is x=1
The degree of the numerator is the same as the degree of the denominator.
The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.
[tex]y = \frac{1}{1} [/tex]
y=1
Answer:
x=1
y=1
Step-by-step explanation:
C on edge!
Help please. The question is...
Answer:
A (2+3n)÷5
Step-by-step explanation:
Lets break this down into step by step.
1) it says that it is the quotient of two. This means that we are dividing by a number. So the answer has to be dividing. So that means it's A or C
2) it says 2 more than 3 times a number n. This shows that the 2 is adding to 3 times n. so that canceled out C meaning it's A.
What is the product of 2x + y and 5x – y + 3?
Answer:
The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y
Step-by-step explanation:
The product of the two expressions can be expressed mathematically as;
(2x +y) (5x -y +3)
To obtain the product of these expressions, we simply expand the brackets as follows;
2x(5x -y +3) + y(5x -y +3)
= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y
= 10x^2- 2xy + 5xy + 6x - y^2 + 3y
= 10x^2+ 3xy + 6x - y^2 + 3y
The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y
Answer: 10x^2 +3xy + 6x + -1y^2 + 3y
Step-by-step explanation:
How do you solve this? Pls help
Part of the illustration is carved off.
log4(x+2)-log4(x+3)=-1
Answer:
Step-by-step explanation:
I take it that the base of the log is 4.
So the question can be written as
log_4 [(x+2)/(x + 3)] = -1
If you take the antilog of this, you get
(x + 2)/(x+3) = 4^-1 = 1/4
Now Cross Multiply
4*(x + 2) = 1*(x + 3) Remove the brackets on both sides
4x + 8 = x + 3 subtract x from both sides.
4x - x + 8 = x - x + 3 Combine
3x + 8 = 3 Subtract 8 from both sides
3x = 3 - 8 Combine
3x = - 5 Divide by 3
x = - 5/3
asap here plz I'm lost at this equation
Answer:
I believe the answer is C
Hope This Helps! Have A Nice Day!!
Answer:
y= 2
Step-by-step explanation:
Alicia cashed her paycheck and set aside the other half to take her friends out to dinner. She spent 42.15 on dinner and brought home more than 20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia’s paycheck
Answer:
about $63
Step-by-step explanation:
Answer:
[tex]0.5x-42.15>20[/tex]
Step-by-step explanation:
Let x represents the amount of Alicia’s paycheck.
Alicia set aside the other half to take her friends out to dinner. That means she took 0.5x with her for dinner.
She spent 42.15 on dinner and brought home more than 20.00.
So, the inequality will be :
[tex]0.5x-42.15>20[/tex]
Solving for x;
=> [tex]0.5x>20+42.15[/tex]
=> [tex]0.5x>62.15[/tex]
x > 124.30
A baker had eighteen boxes for donuts. He ended up making seven hundred sixty-three donuts and splitting them evenly between the boxes. How many extra donuts did he end up with?
Answer:
7
Step-by-step explanation:
Please HELP! Will mark brainliest!
Given the explicit formula for a geometric sequence, find the first 5 terms.
aN = 3^N-1
aN = 2 * (1/4)^n-1
aN = -2.5 * 4^N-1
aN = -4 * 3^N-1
Answer: read below
Step-by-step explanation: 5+5=10-9=1x69= Baby
A bicycle has a listed price of $519.99 before tax. If the sales tax rate is 7.75%, find the total cost of the bicycle with sales tax included
Answer:
$560.29
Step-by-step explanation:
To find the total price, first, find out how much of $519.99 is 7.75%
To do this convert %7.75 into a decimal [divide by 100]
7.75% = 0.0775
Now multiply 0.0775 by $519.99
519.99 x 0.0775 = 40.299225
Since 40.299225 is an amount of money, round it to the nearest hundreth in cents.
40.299225 = 40.30
Now add the sales tax and original price.
$40.30 + $519.99 = 560.29
So, the cost of the bicycle after sales tax is $560.29
If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
The answer is:
The domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Why?This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.
Composite function is equal to:
[tex]f(g(x))=(f\circ} g)(x)[/tex]
So, the given functions are:
[tex]f(x)=x+7\\\\g(x)=\frac{1}{x-13}[/tex]
Then, composing the functions, we have:
[tex]f(g(x))=\frac{1}{x-13}+7\\[/tex]
Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.
If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.
So, the domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Have a nice day!
Which is the same as 98.52 ÷ 10?
Answer:
9.852 x 10 is the same outcome of 98.52/10. Can I have the brainliest answer?
Hope this helped!!!! :) <3 have a good day ma dude
9.852
but 9.8 if ya want to keep it short.
It just makes sense ¯\_(ツ)_/¯
Coach Rogers listed the number of the different types of balls in the storage room. 10 Baseballs, 4 Basketballs, 12 Softballs, 4 Soccer balls, 20 Tennis balls. What is the ratio of baseballs to all of the balls? *
10:50
Or
1:5
Hope this helps!
The ratio of baseballs to the total number of balls in the storage room is 1:5. For every one baseball, there are five balls of any type.
Explanation:We are looking for the ratio of baseballs to total balls. We find the total by adding the number of each type of balls: 10 (baseballs) + 4 (basketballs) + 12 (softballs) + 4 (soccer balls) + 20 (tennis balls) = 50 balls in total.
Now that we know the total, we can find the ratio of baseballs to the total amount of balls. There are 10 baseballs from a total of 50 balls. Thus, the ratio would be 10:50. Simplified, this ratio would be 1:5. This means for every one baseball, there are five balls of any type.
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Simplify this expression: (3s13)(9s-5)
Answer: 39s(9s-5)
Step-by-step explanation:
(3s*13) (9s-5)
remove the parenthesis ex: (a)=a
3s*13 (9s-5)
Multiply the numbers
39s(9s-5)
Step-by-step explanation:
[tex](3s^{13})(9s-5)\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\=(3s^{13})(9s)-(3s^{13})(5)\\\\=27s^{14}-15s^{13}[/tex]
daniel y sus amigos van a un parque de diversiones para subirse a la bola de fuego q cuesta $5 y a los carros chocones q cuestan $1 menos . si daniel sube un total de 11 veces y gasta $50 ¿cuantas veces subio a cada atraccion?
Answer:
6 & 5
Step-by-step explanation:
Daniel and his friends go to an amusement park to get on the fireball that costs $ 5 and the bumper cars cost $ 1 less. If Daniel climbs a total of 11 times and spends $ 50, how many times did he go up to each attraction?
costo de la bola de fuego: $5
costo de los coches de choque: 5 - 2 = $4
número de veces que montó bola de fuego = b
número de veces que montó de choque: m
b + m = 11 --> b = 11 - m
5b + 4m = 50
5(11 - m) + 4m = 50
55 - 5m + 4m = 50
m = 5
b + 5 = 11
b = 6
Which equation is equivalent to the given equation.
The answer is the first option:
Answer:
Sorry to copy the other answer but plzz give the other person brainlist becuase I am doing a challenge on answering 5 mathematical questions in 2 days.
Step-by-step explanation:
A. (x+7)^2 -12=0