Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
5x – 7y= 16 2 + 7y = 8.
what is x?
Answer:
x=45/6
Step-by-step explanation:
2+7y=8. 7y=8-2. 7y=6
7=7. y=6\7
insert the value of y in the second equation. 5x-7y=16
5x-7(6/7)=16
5x-49\6=16
collect the liketerms together
5x=16+49/6
5x=145/6(divide both sides by 5)
x=29/6
x=45/6
further.
confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y
which system of linear equations can be solved using the information below?
Answer:
The correct answer is A
Step-by-step explanation:
Because the solution to the two equations would be 3 and -6, so the numbers in the other column in the matrices that aren't 3 and -6 would be the coefficients. In matrix Ax = 4 and 1 are the coefficients for y and in matrix Ay, -5 and -8 is the coefficient for the xs in the equations.
Answer: A
Step-by-step explanation: edge 2023
PLSSSSSS HELP!!!!!!!
Jamie has two similar rectangular boxes. If the sides of one box are three times the lengths of the corresponding sides of the other box, which one of the following is true?
a. The volume of one box is 3 times the volume of the other.
b. The volume of one box is 6 times the volume of the other.
c. The volume of one box is 9 times the volume of the other.
d. The volume of one box is 27 times the volume of the other.
Answer:
B
Step-by-step explanation:
(There is 2 sides.)
BRAINLIEST!
What is the measure of angle ABC?
Answer:
the measure of angle ABC is 73°
Step-by-step explanation:
This is inscribed angle and theorem says that its measure is 1/2 of intercepted arc
m∠ABC =1/2 m arcAC = 1/2 * 146°° =73°
Answer:
It is 180 degrees
~Hope this helps!!Stay safe~
Find the y-intercept of the following equation. Simplify your answer.
y
=
9
10
x
+
7
6
y-intercept =
Answer:
Brainliest!Step-by-step explanation:
the equation is y=mx+b
the b part is the y-intercept
so in your equation... the y=intercept would be 7/6
Please helpppppp, I’m tryna passss :(
Answer:
y = x + 1
Step-by-step explanation:
I've already explained the process to you, but:
Slope intercept form is y = mx + b
When we count rise over run, we get 1/1, or just 1.
y = x + b (you don't have to write 1x)
The line intersects the y-axis at 1
y = x + 1
Please let me know if you don't understand
Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?
Answer:
y = 14
Length of AB = 56 units
Step-by-step Explanation:
==>Given:
Parallelogram ABCD, with the following lengths:
AB = 4y
DC = y + 42
==>Required:
a. Value of y
b. Length of AB
==>Solution:
i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.
To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)
Thus,
4y = y + 42
Subtract y from both sides
4y - y = y + 42 - y
3y = 42
Divide both sides by 3
3y/3 = 42/3
y = 14
ii. Length of AB = 4y
Plug the value of y
Length of AB = 4(14)
Length of AB = 56 units
Suppose $4000 is invested at 6% interest compounded annually. How much money will there be in the bank at the end of 5 years? At the end of 20 years?
Answer: The accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = $ 12828.54
Step-by-step explanation:
Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:
[tex]A=P(1+r)^t[/tex]
As per given , we have
P = $4,000
r= 6% = 0.06
Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]
The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]
[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]
Hence, the accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]
[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]
Hence, the accumulated amount after 20 years = $ 12828.54
Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively
Using the compound interest formula :
[tex] A = P(1 + r)^{t} [/tex] P = principal r = Rate t = timeAfter 5 years :
[tex] A = 4000(1 + 0.06)^{5} [/tex]
Amount after 5 years = $5325.90
After 20 years :
[tex] A = 4000(1 + 0.06)^{20}[/tex]
Amount after 5 years = $12828.54
Hence, the amount accumulated after 20 years will be $12828.54
Learn more : https://brainly.com/question/25581049
Factor the polynomial completely.
(y - 8)^2 - 16
Answer:
(y -12)(y -4)
Step-by-step explanation:
This can be factored as the difference of squares:
(y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)
Which polynomial is written in descending order of the powers of the variable?
A. -2x^3+6x^2-9x+5
B. 5-9x+6x^2-2x^3
C. 5+6x^2-9x-2x^3
D. -2x^3+5+6x^2-9x^2-9x
Step-by-step explanation:
Descending means from highest to lowest values, so look for the one that goes in order counting down.
Option A is going down all the way unlike any of the other answers, so A is the correct option.
Answer:
A. [tex]-2x^3+6x^2-9x+5[/tex]
m 1 = a) 40 b) 130 c)50
Answer:
C) 50
Step-by-step explanation:
You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.
SH
Complete each step in the following solution.
10x + 8 = 3(x - 2)
10x + 8 = 3x
DONE
7x=
DONE
x= -2
Answer: x= -2
Step-by-step explanation: use pemdas
10x + 8 = 3(x - 2) distribuite parenthesis
10x + 8 = 3x - 6
10x + 8 = 3x - 6 add like terms
7x +8= -6 add like terms
7x= -14 divide to get x alone
x= -2
Answer:
x = - 2
Step-by-step explanation:
10x + 8 =3(x-2)
10x + 8 =3x - 6
10x - 3x = - 6 - 8
7x = - 14
7x/7 = -14/7
x = - 2
Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input
Factor the trinomial by grouping.
9x^3 - 3x^2 -30x
Answer:
3x(3x+5)(x-2)
Step-by-step explanation:
[tex]9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)[/tex]
Hope this helps!
Can any one please help me in number 4
Answer:
150.72
Step-by-step explanation:
The volume of a cylinder is 2πrh. We have r = 3 and h = 8 so volume is 48π or 150.72.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer: B. The test contains 10 three-point questions and 14 five-point questions
Step-by-step explanation:
14 * 5 = 70
10 * 3 = 30
70 + 30 = 100
14 + 10 = 24
Answer:
y=14
x=10
Step-by-step explanation:
x+y=24
3x+5y = 100
multiply the first equation by 3 and subtract from second one :
3x+3y=72
-
3x+5y=100
equal : -2y=-28
y=14
x=10
Which statement regarding the diagram is true?
m2WXY = m_YXZ
m2WXY < m_YZX
m2WXY + m2YXZ = 180°
m2WXY + m_XYZ = 180°
Explanation:
These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.
-------
Side notes:
Choice A is only true if we have a 90 degree angle at point XChoice B is never true because of the remote interior angle theoremChoice D is only true if we have an isosceles triangle with XZ = YZ.The correct statement is,
⇒ m ∠WXY + m ∠YXZ = 180°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
To find the correct statement.
Now, We can find the correct statement as;
By definition of linear pair we get;
⇒ m ∠WXY + m ∠YXZ = 180°
Thus, The correct statement is,
⇒ m ∠WXY + m ∠YXZ = 180°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ7
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get [tex]6x^2[/tex]
Sierra Movie Theater sold 189
tickets for $9.25 each on Friday
night. What was the total amount
of ticket sales for that night?
Answer:
$1748.25
Step-by-step explanation:
Multiply:
($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)
(b) If 1/3 volume of a vessel is filled with 5 litres of what is the volume
of the vessel.
Answer:
15 litres
Step-by-step explanation:
1/3 x= 5
x= 5 : 1/3
x= 5*3
x= 15 litres
answer to the question
Answer:
$2916.00
Step-by-step explanation:
Calculate the following combinations
Answer:
[tex]_3 C_2 =\frac{3}{2}[/tex]
[tex]_3 C_3[/tex] Is undefinded.
Step-by-step explanation:
Given the equations.
[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]
[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]
Distribute the denominator.
[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]
[tex]_3C_2 = \frac{3}{(9-9)}[/tex]
Simplify the denominator.
[tex]_3 C_2 = \frac{3}{2}[/tex]
[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.
Answer:
part 1: 3 & 1
part 2: 6
Step-by-step explanation:
edge fam sticks together lol
write a rule for the nth term of the sequence 15, 19, 23, 27
Answer:
aₙ= 4n+11
Step-by-step explanation:
the sequence 15, 19, 23, 27
is AP with the first term 15 and
the common difference 19-15=23-19=27-23= 4
aₙ= a₁+(n-1)d
aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11
aₙ= 4n+11
Carter has 143 songs pn a playlist. He's categorized them in the following manner: 7 classical, 19 rock, 29 hip hop, 16 gospel, 13 pop, 24
country, and 35 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Plssss help
Answer:
19/ 143
Step-by-step explanation:
There are 19 rock songs out of 143 total
P(rock) = number of rock songs/ total
= 19/ 143
PLEASE HELP ME WITH MATH
Answer:
Surface Area: 200.48 yd^2
Volume: 141.2 yd^3
Step-by-step explanation:
Rectangular Prism x1 = 148.48 yd^2
Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.
Triangular Prism x2 = 52 yd^2
Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.
Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.
Now we move on to volume, which is actually more simple.
Formula of Rectangular Prisms = length x width x height
Formula of Triangular Prisms = (length x width x height) / 2
Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3
Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2
Finally add the volumes together to get your final volume.
107.52 + 16.8 + 16.8 = 141.2 yd^3
Sorry if this is long xd
I WILL MARK YOU BRAINLIEST!!!! HELP PLZZ
Answer:
exponential growth
Step-by-step explanation:
f(x) = 2 * 2^x
This is in the form
y = a * b^x where a is the initial value and b is the growth rate or decay rate
b > 1 so it is growth
This is the exponential form
y = mx+b is the linear form
GEOMETRY HELP WILL MARK BRAINLIEST
Answer: the answer is 77 degrees
Step-by-step explanation: a triangle's angles all add up to 180, so all you need to do is 180-(59+44)
picture chart is below
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had three or more absences during the first quarter?
Thanks for all correct answers
Answer:
11%
Step-by-step explanation:
this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.
45 + 23 + 21 + x = 100
to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.
hope it helps!
Thank you for all your help I need this too ASAP pls
Answer:
A
Step-by-step explanation:
Quadratic equation
PLZ HELP IM TIMED!!! Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options.. A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches. A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches. A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches. A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
Answer:
The correct options are (1), (2) and (4).
Step-by-step explanation:
If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.
If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.
It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.
Then the right rectangular prism could have:
Dimensions: Length = 15 inches, Width = 8 inches and Height = 6 inches. A cross section parallel to the base which is a rectangle measuring 15 inches by 8 inches. A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.Thus, the correct options are (1), (2) and (4).
