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]
What is the next term in the following set of numbers: {1,3,7,15,31,...? a. 63 b. 47 c. 39 d. 35 e. Other:
Answer:
[tex]63[/tex]
Step-by-step explanation:
[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]
Select all of the equations for which x = -4 *
1 point
x + 4 = 0
-3x = 12
x - 4 = -8
x + 4 = 4
Answer:
x + 4 = 0. / -3x = 12. / x - 4 = -8
Step-by-step explanation:
x + 4 = 0
-4. -4
x = -4
-3x = 12
÷-3. ÷-3
x = -4
x - 4 = -8
+ 4. +4
x = -4
x + 4 = 4
-4. -4
x = 0
A movie complex with 3 theaters has a total capacity of 800 seats. There are 270 seats in Theater 1. There are 150 more seats in Theater 2 than in Theater 3. How many seats are in Theater 2?
Answer:
340
Step-by-step explanation:
No. of seats in theater 1 = 270
Let the no. of seats in theater 3 be x
given that
There are 150 more seats in Theater 2 than in Theater 3.
no. of rooms in theater 2 = no. of rooms in theater 3 + 150
x + 150
Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420
It is also given that total capacity is 800 seat
thus
Total numbers of seats in all the theater = 800
2x+420 = 800
=> 2x = 800 - 420 = 380
=> x = 380/2 = 190
Thus, no of rooms in theater 3 is 190.
No. of rooms in theater 2 is x + 150 = 190 + 150 = 340 ---> Answer
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer.Plz u will lots of point
c = 10
Step-by-step explanation:
We can find out the missing side of a right triangle by using the Pythagorean theorem.
The Pythagorean theorem is...
[tex]a^2+b^2=c^2[/tex]
We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will always be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.
[tex]6^2+8^2=c^2[/tex]
[tex]36+64=c^2[/tex]
[tex]100=c^2[/tex]
A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...
c = 10
Is the following relation a function?
Yes
No
In how many ways can you
select a group of 6 friends to
invite over from a group of
22 friends?
Answer:74613
Step-by-step explanation:
n!/r!(n-r)!
22!/6!(22-6)!
=74613
The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it would remain after 30 seconds?
Answer:
1.5625g would remain after 30 seconds
Step-by-step explanation:
When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.
More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass
Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.
Since it is just 5 half lives, we can proceed manually
In the first, we shall have 25g left
in the second, we shall have 12.5g left
In the third, we shall have 6.25g left
In fourth, we shall have have 3.125g left
and finally, in the fifth, we shall have 1.5625g
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
HELP! Which of the following are interior angles in the figure below? PLEASEEE!!!!! URGENT dont need to explain
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? ( please hurry i need to finish my assesment )
A.) - 4
B.) - 30
C.) 4
D.) 30
Answer: -4
Step-by-step explanation:reverse the steps
3(x-7)= -9
3(x-7)/3= -9/3
x-7= -3
x= -3+7
x= -4
find the constant of proportionality: 84 miles per 4 hours
Answer:
k = 21 miles per hour
Step-by-step explanation:
The constant of proportionality is
k = 84/4
k = 21 miles per hour
Answer:
[tex]21 \: \: \: miles \: \: \: per \: \: \: hour[/tex]
Step-by-step explanation:
[tex]4 \: \: \: hours = 84 \: \: miles \\ 1 \: \: \: hours = x[/tex]
Use cross multiply
[tex]4x = 84 \\ \frac{4x}{4} = \frac{84}{4} \\ x = 21[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?
Answer:
She get 84% right
Step-by-step explanation:
42 x 2 = 84
50 x 2 = 100
Answer:
84%
this is the picture of how I solved it.
hope you understand.
What is the area of trapezoid QRST?
Answer:
?
Step-by-step explanation:
divide the trapezoid into 1 square and 2 triangles.
then calculate the square.
6 * 6 = 36.
after youve done this you have to calculate the triangles.
6 * 3 = 18 = 1 triangle
18 * 2 = 36 = 2 triangles
now add them together:
36 + 36 = 72
in conclusion this should be the proper answer but its not on your page so...
i would say count the squares 1 by one...
but i did that...
its 54
:)
Liam and his children went into a movie theater and will buy bags of popcorn
and pretzels. He must buy at least 8 bags of popcorn and pretzels altogether.
Write an inequality that would represent the possible values for the number
of bags of popcorn purchased, b, and the number of pretzels purchased, p.
Answer:
At least can be denoted by the inequality operator ≥. We need to find the sum of popcorn and pretzels which can be written as b + p so the answer is:
b + p ≥ 8.
Help please picture attached !!! Factoring expression
Answer:
(x+y)^3
Step-by-step explanation:
125 is the third power of five and 216 is the third power of 6
so we can rewrite the expression as (x+y)^3
What is the formula for the circumference of a circle in terms of r?
Answer:
2 x pi x r
Step-by-step explanation:
i just copy n pasted this on google
Step-by-step explanation:
c= 2πr
Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!
Answer:
(x-4)^2 + (y-3)^2 =8
Step-by-step explanation:
The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3
(4,3)
The radius is the distance from the midpoint to an endpoint
This is 2sqrt(8)
So the equation is
(x-4)^2 + (y-3)^2 =8
please help me asap
Answer:
that's the lowest term actually
Y=10 when x=8 what is x when y=30
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
Which of the following is equal to the ratio of the circumference of a circle to its diameter?
Answer:
Im pretty sure its the 1st one
Step-by-step explanation:
Answer:
option 3 π
Step-by-step explanation:
Circumference = πd
Circumference : diameter = πd : d
= π : 1 = π
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Kite ABCD is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations. I need help
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
Rule of rotation about the origin at an angle of 90° in the counterclockwise direction:
The stated value of (x, y) after performing the translation are switched or interchanged, with x used as the y coordinate value and the negative value of y used as the x coordinate value. That is ;
(x, y) - - - -> (-y, x)
Solving the problem above:
Applying translation: (x-2, y+3), then rotating about the origin at 90° in the counterclockwise direction.
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4)
(-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5)
(-4, 5)- - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4)
(-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3)
(-4, 3)- - -> D' = (-3, -4)
Answer:
the other guy is correct.
Step-by-step explanation:
the coordinates of point G ar (4,-2) and the gradient of the straight line GH is -2.The coordinates of point H could be
A.(-1,6)
B.(-1,8)
C.(-1,10)
D.(-1,12)
Step-by-step explanation:
Given that the formula of gradient is :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you have to try for every coordinates :
Option A,
[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]
Option B,
[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]
Option C,
[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]
Option D,
[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]
Zachary is solving the following equation.
Which is the best first step to begin to simplify the equation?
Multiply both sides of the equation by .
Divide both sides of the equation by .
Distribute over (x – 8).
Distribute over (x – 8).
Don't know if there was supposed to be another option but, it would be distribute over (x - 8).
Answer:
Distribute 3/4 over (x - 8)
Step-by-step explanation:
brainliest please and can yall please thank me and give five stars
the rocket ship will travel 2.1 x 10y. what is the value of y in the solution
Answer:
47
Step-by-step explanation:
10x + 8 = 3(x - 2)
10x + 8 = 3x
Answer:
1) -2
2) 8/7
Step-by-step explanation:
1) 10x+8=3(x-2)
10x+8=3x-6
10x-3x=-6-8
7x=-14
x=-2
2) 10x+8=3x
10x-3x=8
7x=8
x=8/7
Hope it helps
Solve the system using elimination. 3x + 3y = –9 3x – 3y = 21
Answer:
y=-5,x=2
Step-by-step explanation:
3x+3y=-9________________eqn 1
3x-3y=21________________eqn 2
using elimination method
3x+3y=-9
-
3x-3y=21
subtract equation 2 from equation 1
0+6y=-30
6y=-30
y=-30/6
y=-5
substitute the value of y in equation 1
3x+3y=-9
3x+3(-5)=-9
3x-15=-9
3x=-9+15
3x=6
x=6/3
x=2
which expression is equivalent to y^4 -100?
Answer:
Using the difference of squares this can be rewritten as (y² + 10)(y² - 10).
Answer:
(y² + 10)(y² - 10)
Step-by-step explanation:
y^2=y^4
3a+2b=9 and 8x+6y=60
what is the value of 9a+6b
what is the value of 4x+3y
Answer:
The Value of 9a+6b is 27. and the value of 4x+3y is 30.
Explanation
1)
3a+2b=9
multiplying both by side by 3
or, 3×( 3a+2b)=3×9
Hence, 9a+6b=27
2)
8x+6y=60
Dividing both by side by 2
or, (8x+6y)/2 = 60/2
Hence, 4x+3y=30
Solve the inequality.
2(4+2x)>5x+5
O x5-2
O X2-2
x33
O X23
Step-by-step explanation:
8 + 4x > 5x + 5
8 - 5 > 5x - 4x
3 > x
The solution to the system of equation is x < 3
Inequality expressionGiven the inequality expression 2(4+2x)>5x+5
Expand the inequality
2(4+2x)>5x+5
8 + 4x > 5x + 5
Collect the like terms
4x - 5x > 5 -8
-x > -3
x < 3
Hence the solution to the system of equation is x < 3
Learn more on inequality here: https://brainly.com/question/24372553
