Answer:
-3
Step-by-step explanation:
k/-11
Let k =33
33/ -11
-3
Answer:
-3
Step-by-step explanation:
33/-11 = -3
NOTE
division and multiplication = negative
addition and subtraction are a pair.
I hope this helped!
The histogram below represents a data distribution with uniform class
widths. Which of the following is the median of the data distribution?
6
5
4
3
2
1
9 10
A. 4
B. 6
C. 5
c
D. 7
Answer:
C. 5
Step-by-step explanation:
The given data can be presented as follows;
[tex]\begin{array}{ccc}x&&y\\2&\leftrightarrow &1\\3&\leftrightarrow &4\\4&\leftrightarrow &6\\5&\leftrightarrow &7\\6&\leftrightarrow &6\\7&\leftrightarrow &3\\8&\leftrightarrow &2\\9&\leftrightarrow &1\\10&\leftrightarrow &1\end{array}[/tex]
We find the sum of the data points as follows;
n = 1 + 4 + 6 + 7 + 6 + 3 + 2 + 1 + 1 = 31
The median will be located in the (n + 1)/2 th data point
Therefore the median is the (31 + 1)/2 = 16th data point
The sum of the first three bars on the histogram = 11
The sum of the first four bars on the histogram = 18
Therefore, the 16th data point is located in the fourth bar which has x value of 5
The median is therefore, C. 5
math simplify (7a+5b-2c) + (5a+7b) + (2a-7c) + (2a-5b+3c) algebra
Answer:
[tex]-10a^2+25ab-15ac+12a+12b-2c[/tex]
Step-by-step explanation:
[tex](7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)[/tex]
Distribute:
[tex]=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)[/tex]
[tex]=7a+5b-2c+5a+7b+4a^2-10ab+6ac-10a^2+35ab-21ac[/tex]
Combine all like terms:
[tex]=(4a^2-14a^2)+(-10ab+35ab)+(6ac-21ac)+(7a+5a)+(5b+7b)+(-2c)[/tex]
[tex]=-10a^2+25ab-15ac+12a+12b-2c[/tex]
The degree of the polynomial function f(x) is 3.
The roots of the equation f(x)=0 are −1, 0, and 3.
Which graph could be the graph of f(x)?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The real roots of a polynomial function are the x-intercepts. The graph of f(x) will be the graph that has x-intercepts of -1, 0, and 3.
Which statement is true about whether Z and B are independent events?
Z and B are independent events because P(Z∣B) = P(Z).
Z and B are independent events because P(Z∣B) = P(B).
Z and B are not independent events because P(Z∣B) ≠ P(Z).
Z and B are not independent events because P(Z∣B) ≠ P(B).
Answer:
Z and B are independent events because P(Z∣B) = P(Z).
Step-by-step explanation:
After a small online search, I've found a table to complete this problem, that we can see below.
For two events Z and B, we have:
P(Z|B) = probability of Z given that B
such that:
P(Z|B) = P(Z∩B)/P(B)
So, two events are independent if the outcome of one does not affect the outcome of the other.
So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.
So Z and B are independent if the probability of Z given B is equal to the probability of Z.
P(Z|B) = P(Z)
In the table we can see:
P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)
P(Z|B) = 126/280 = 0.45
Similarly, we can find P(Z):
And P(Z) = 297/660 = 0.45
So we can see that:
P(Z|B) = P(Z)
Thus, B and Z are independent.
help please lolz thanks
Answer:
c.7
well i have to put 20 so here
I'm pretty sure that the answer is C
Using long division, what is the quotient of this expression?
X^4+4x^3-5x^2+x-3/x^2+x-3
Answer:
Using long division method the answer is B
Step-by-step explanation:
x²+3x-5+(15x-18)/x²+x-3
anyone knows the answers ? need help with this.
Answer:
2.
a) X=5.0791
(sorry I only know that one)
which parent function is represented by the graph?
Answer:
y=x
Step-by-step explanation:
A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank
Step-by-step explanation:
Volume of tank = (pi)×(radius squared)×(height)
= 3.14×(6×6)×2
= 3.14×36×2
= 226.08 cu.ft
Each cu.ft is rented for $30
So, for 226.08 cu.ft is,
=226.08×$30
=$6782.3
9z and 9x are like terms ?
O A. True
O B. False
Given AD || GJ. Refer to the figure and provide an appropriate name for
LHJ
A. complementary angle
0
B. right angle
C
C. acute angle
D. obtuse angle
Answer:
Right angle
Step-by-step explanation:
Since, LH is perpendicular to HJ, ∠LHJ is a right angle.
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!
Answer:
The one at the bottom
Step-by-step explanation:
Plug in the value of x = 3 for every equation
I plugged the value of 3 into this equation:
2(3) +3y = 0
3 + 2y = -1
Let's start with the first line
6 + 3y = 0
-6 -6
3y = -6
3y/3 = -6/3
y = -2
Now let's solve the second line
3 +2y = -1
-3 -3
2y = -4
2y/2 = -4/2
y=-2
Since both equations have the solution y = -2, that means the system of equations is valid when the value of x is 3.
Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that will find the
missing 3rd root (r). You do not have to solve the problem. See the example "Find the Missing Root - Interesting Twist" if you need help.
_=_(_-1)(_-2)(_-_)
Given:
The leading coefficient of a polynomial is 8.
Polynomial roots are 1 and 2.
The graph passes through the point (4,5).
To find:
The 3rd root and the equation of the polynomial.
Solution:
The factor form of a polynomial is:
[tex]y=a(x-c_1)(x-c_2)...(x-c_n)[/tex]
Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the roots of the polynomial.
Polynomial roots are 1 and 2. So, [tex](x-1)[/tex] and [tex](x-2)[/tex] are the factors of the polynomial.
Let the third root of the polynomial by c, then [tex](x-c)[/tex] is a factor of the polynomial.
The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:
[tex]y=8(x-1)(x-2)(x-c)[/tex]
The graph passes through the point (4,5). Putting [tex]x=4,y=5[/tex], we get
[tex]5=8(4-1)(4-2)(4-c)[/tex]
[tex]5=8(3)(2)(4-c)[/tex]
[tex]5=48(4-c)[/tex]
Divide both sides by 48.
[tex]\dfrac{5}{48}=4-c[/tex]
[tex]c=4-\dfrac{5}{48}[/tex]
[tex]c=\dfrac{192-5}{48}[/tex]
[tex]c=\dfrac{187}{48}[/tex]
Therefore, the 3rd root on the polynomial is [tex]\dfrac{187}{48}[/tex].
Instructions: Find the measure of the indicated angle to the nearest degree.
50
?
25
Answer:
theta = 30 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin theta = 25/50
sin theta = 1/2
Taking the inverse sin of each side
sin ^-1 (sin theta) = sin ^-1 (1/2)
theta = sin ^-1 (1/2)
theta = 30 degrees
Which of the following angles is coterminal with - 2pi/3
Answer:
[tex]\frac{2\pi }{3} +x=2\pi[/tex]
[tex]x=2\pi -\frac{2\pi }{3}[/tex]
[tex]=\frac{4\pi }{3}[/tex]
[tex]OAmalOHopeO[/tex]
To the nearest whole number, what is the surface area of the right triangular prism?
•140 m2
•110 m2
•125 m2
•120 m2
Answer:
125.4
Step-by-step explanation:
2×(3×5/2) + (8×5.8) + (5×8) + (3×8)
= 125.4
Find the surface area of this cylinder.
Round to the nearest tenth.
r = 3 cm
3 cm
SA = [ ? ] cm2
PLEASE HELP
Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h
Radius (r) = 3
Height (h) = 3
2 x pi x 3^2 + 2 x pi x 3 x 3
2 x pi x 9 + 2 x pi x 9
18pi + 18pi
36pi = 113.1 cm^2
Hope this helps!
The surface area of the cylinder is 113.0973 square centimeter.
What is surface area of a geometric shape ?The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.
How to find the surface area of the cylinder ?The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r
where r is the radius of the cylinder and h is the height of the cylinder from its base.
In the given problem, r = 3cm and h = 3cm .
⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.
= 36π = 113.0973 square centimeters.
∴ Surface area = 113.0973 square centimeters.
Thus the surface area of the cylinder is 113.0973 square centimeter.
To learn more about surface area the cylinder, refer -
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In the diagram, the ratios of two pairs of corresponding sides are equal.
Triangles L M N and X Y Z are shown. Side L M is blank, side M N is 3, and side N L is 2. Side X Y is blank, side Y Z is 9, and side Z X is 6.
To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that
∠N ≅ ∠Z
∠N ≅ ∠X
∠L ≅ ∠Z
∠L ≅ ∠Y
Answer:
∠N ≅ ∠Z
Step-by-step explanation:
In the Side-Angle-Side (SAS) similarity theorem, the included angle of the two given sides of a triangle is also given. This theorem relates two legs of a triangle with the angle formed by the legs.
Comparing the sides of △LMN and △XYZ, it would be observed that the corresponding sides of △XYZ has a scale of 3. So to prove that △LMN ~ △XYZ by the SAS similarity theorem, it would be required to also show that ∠N ≅ ∠Z.
Answer:
A) ∠N ≅ ∠Z
Step-by-step explanation:
A bag contains 7 red cubes, 3 yellow cubes, 2 green cubes, and 4 blue cubes. One cube is selected at
random from the bag. What is the probability that the selected cube will NOT be blue?
1/4
5/8
3/4
7/8
Answer:
3/4
Step-by-step explanation:
7 + 3 + 2 + 4 = 16
4 blue cubes = 4/16
16 - 4 = 12
12/16 = 6/8 = 3/4
The probability that the selected cube will not be blue is 3/4.
How to calculate probability?Total number of cubes: 7+3+2+4=16
Number of cubes that are not blue: 12
Probability: Desired outcomes/ Total outcomes
=12/16
=3/4
Therefore, the probability of not selecting blue cube is 75%(or 3/4).
To know more about probability refer:
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In △ABC, m∠A=50∘, m∠B=60∘, and m∠C=70∘.
If △ABC is rotated 90∘ counterclockwise to △XYZ, what is the measure of angle Z?
Given:
In [tex]\Delta ABC, m\angle A=50^\circ, m\angle B=60^\circ[/tex] and [tex]m\angle C=70^\circ[/tex].
[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex].
To find:
The measure of angle Z.
Solution:
We know that the rotation is a rigid transformation. It means the image and figure are congruent to each other.
[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex]. So, [tex]\Delta ABC\cong \Delta XYZ[/tex].
[tex]\angle C\cong \angle Z[/tex] (CPCTC)
[tex]m\angle C=m\angle Z[/tex]
[tex]70^\circ=m\angle Z[/tex]
Therefore, the measure of angle Z is 70 degrees.
Answer:70
Step-by-step explanation:
A number is divided by 1/4.Write an expression for this situation.
Answer:
x ÷ 1/4
Step-by-step explanation:
Concepts:
An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.A variable is an unknown, numerical value in an equation, often represented by the letter x.Solving:
Let's translate the first part of the expression:
1. "A number"
Since we're unaware of the number in this expression, we can mark it as a variable, x.This means that, so far for our expression, we only have the variable, "x".2. "divided by 1/4"
When we're dividing, we use the ÷ symbol to represent that operation. Now, let's put the first part of our expression with the second one: "x ÷ 1/4"Therefore, the expression for this situation is x ÷ 1/4.
What is the area of this triangle
Answer:
17.5 units
Step-by-step explanation:
im not good at explaining sorry
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
what are the steps in solving
12x+4=20x+24
Answer:
x = -5/2
Step-by-step explanation:
12x+4=20x+24
-8x + 4 = 24
-8x = 20
x = -5/2
Which is true about the triangles pictured?
С
60
609
50
70
70°
50
B
D
The triangles are not congruent.
The triangles are congruent by Angle-Angle-Angle.
If AC EF. then the triangles could be proved congruent by Angle-Side-Angle.
if BC EF, then the triangles could be proved congruent by Angle-Side-Angle.
Answer: The triangles can be proven congruent from angle-angle-angle.
Step-by-step explanation: I know this because the angles match up with each other
Cam someone help me out please
Answer:428.67
Step-by-step explanation:
πr (r+square root(h2+r2) plug in the numbers
What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6
Answer:
3x - 124
Step-by-step explanation:
kindly find solutions in the picture above
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6
Combine all like terms.
(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6
(8x² - 73x²) + 2x + 6
-65x² + 2x + 6
There are no common factors or like-terms to simplify.
So,
The simplified form is -65x² + 2x + 6
Thus,
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
Learn more about expressions here:
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Find sin R.
a. sin R= 29/21
b. sin R= 21/20
c. sin R= 20/29
d. sin R= 21/29
Answer:
sin R = 20 / 29
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin R = opp / hyp
sin R = 20 / 29
Write the number one thousand and four in figures
Answer:
1004 is the correct awnser
Step-by-step explanation:
pls give me brainliest
Answer:
1004
Step-by-step explanation:
one thousand = 1000
four = 4
1000+4 =1004
calculate the value of 120 is increased by 120%
Answer:
144
Step-by-step explanation:
currect answer for simple question
Answer:
264
Step-by-step explanation:
First find the amount of increase
120 * 120%
120 * 1.2
144
Add this to 120
120 +144
264
