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]
Find the value of this expression if X=-7
Answer:
-9
Step-by-step explanation:
[tex](-7)^{2}[/tex] = 49
when you have a negative number to any power make sure you plug it in correctly into the calculator.
[tex]\frac{49+5}{-7+1}[/tex] = [tex]\frac{54}{-6}[/tex]
54÷-6= -9
I hope this helps
Answer:
[tex]-9[/tex]
Step-by-step explanation:
[tex]\frac{x^2+5}{x+1}[/tex]
If [tex]x=-7[/tex] then:
[tex]\frac{-7^2+5}{-7+1} =\\\\\frac{49+5}{-6} =\\\\\frac{54}{-6} =\\\\-9[/tex]
The expression equals [tex]-9[/tex] if [tex]x=-7[/tex]
Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25
Answer :
[tex] \frac{1}{100} (4 {x}^{2} + {y}^{2} )[/tex] [tex] \frac{dy}{dx} = \frac{ - x}{y} [/tex]Please help! Correct answer only! I've been stuck on this question for hours and I need to finish this assignment before tomorrow.
In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
The first question was answered on another page.
As for your second question, you are unfortunately not correct.
We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.
So we have...
Circuit ABDCA will cost AB+BD+DC+CA = 220+210+230+240= 900 in total (not 890). We can rule out choice A because the 890 and 900 don't match up.Circuit ACDBA will cost AC+CD+DB+BA = 240+230+210+220 = 900 in totalCircuit ABCDA will cost AB+BC+CD+DA = 220+200+230+310 = 960 in totalWe see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.
This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".
So once again, the answer for the second question is choice 2Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
The trip is 45 and 1/2 miles long
Step-by-step explanation:
Point S(6,-2) is translated 3 units left.What would be the coordinates of the resulting point,S’?
Answer:
S'(3,-2)
Step-by-step explanation:
what role do binomial factors (like (x+3) and (x-2) ) have in algebra.
Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.
What type of transformation has taken place in the picture shown?
10
D
В
-10
-5
0
5
10
C'
-B-5
A!
-101
O translation
O rotation
O reflection
O dilation
Answer:
Reflection and translation.Step-by-step explanation:
The picture shows the preimage ABCD and the image A'B'C'D'.
Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.
Therefore, the right answers are reflection and translation.
Complete the recursive formula of the geometric sequence-0.56,-5.6,-56,-560
The full recursive formula can be defined by these two parts
[tex]\begin{cases}a_1 = -0.56\\ a_n = 10*a_{n-1}\end{cases}[/tex]
The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10
second term = 10*(first term) = 10*(-0.56) = -5.6
third term = 10*(second term) = 10*(-5.6) = -56
etc etc
Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.
a. 6x2 + 9x + 8x + 5
b. (3x + 1)(2x + 5)
c. x(6x + 17) + 5
d. 3x(2x + 5) + 1(2x + 5)
Answer:
b
Step-by-step explanation:
given
6x² + 17x + 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 5 = 30 and sum = 17
The factors are 2 and 15
Use these factors to split the x- term
6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )
= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term
= (3x + 1)(2x + 5) → b
The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.
Important information:
The given trinomial is [tex]6x^2+17x+5[/tex].Factoring:Splitting the middle term, we get
[tex]6x^2+15x+2x+5[/tex]
After grouping, we get
[tex](6x^2+15x)+(2x+5)[/tex]
Taking out common factors, we get
[tex]3x(2x+5)+1(2x+5)[/tex]
Now, it can be written as:
[tex](3x+1)(2x+5)[/tex]
Therefore, the correct options are b and d.
Find out more about 'Factoring' here:
https://brainly.com/question/2416165
Find the missing side. Leave your answer in simplest radical form.
Answer:
[tex] \sqrt{19} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which x represents the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]x = \sqrt{( { \sqrt{10} })^{2} + {3}^{2} } \\ \\ = \sqrt{10 + 9} \\ \\ = \sqrt{19} \: units \\ [/tex]
make x the subject of m=n + x/p
Answer:
[tex] \boxed{x = p(m - n)} [/tex]
Step-by-step explanation:
[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]
I need help I keep getting it wrong
Find the area of the triangle and multiply by the length of the prism.
Area = 1/2 x 8x3 = 12 square yds.
Volume = 12 x 6 = 72 cubic yards.
Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle
Answer:
7.5 % increase
Step-by-step explanation:
So,first we know that Square is also a special type of Rectangle,
so consider a Square with side 100 unit ,
Initially, After increament in side
Length = 100 unit -(increases by 10% ,So 110% of 100) NEW length = 110 unit
width = 100 unit (increases by 5% ,So 105% of 100) NEW width = 105
initially, Perimeter of Rectangle = 2 x (L + B) = 2 x (100 +100)
= 400 unit
After increment in length and width
Perimeter of New Rectangle = 2 x (L + B) = 2 x (110 +105)
= 430 unit
So we can clearly see that there is an increase of 30 unit in perimeter from initial.
Therefore ,% increase in perimeter will be
(final perimeter - initial perimeter)/initial perimeter x 100
= (430 - 400)/400 x 100
= 7.5 % increase
Answer:
increased by 8%
Step-by-step explanation:
y is equal to the product of 3 and x divided by 9; x = -6 What is the output?
Answer:
Out put would be - 2
Step-by-step explanation:
[tex]y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}[/tex]
The height of a baseball, in feet, is represented by this expression, where t is time in seconds. The height of the baseball after 3.5 seconds is feet.
Answer:
The height of a baseball, in feet, is represented by this expression, where t is time in seconds.
-16t2+64t+3
The height of the baseball after 3.5 seconds is ___ feet.
Step-by-step explanation:
Consider the provided expression.
The height of a baseball, in feet, is represented by this expression, where t is time in seconds.
[tex]h=-16t^2+64t+3[/tex]
To find the height of the baseball after 3.5 seconds, substitute the value of t = 3.5 in above expression
[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]
Hence, the height of the baseball after 3.5 seconds is 31 feet.
Answer:
31feetStep-by-step explanation:
The question is incomplete. Here is the complete question.
The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.
Given the height of the baseball modeled by the equation
h(t) = -16t²+64t+3
To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;
[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]
The height of the baseball after 3.5 seconds is 31feet.
(PLZ NEED HELP) The doubling time of a bacterial population is 10 minutes. After 80 minutes, the bacterial population was 80000. _____
Using your rounded answer for the initial population above (do not round your growth rate), find the size of the bacterial population after 5 hours.____
Answer:
Initial population = 313
Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]
Step-by-step explanation:
Let initial population = [tex]x[/tex]
It is given that population gets doubled every 10 minutes.
Population after 10 minutes = [tex]2x[/tex]
Population after 20 minutes = [tex]2^{2} x[/tex]
:
:
Population after 80 minutes = [tex]2^{8} x[/tex] and it is given as 80000.
[tex]\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313[/tex]
So, initial population is 312.5 = ~313
To find, population after 5 hours i.e. 5 [tex]\times[/tex] 60 = 300 minutes
Population after 300 minutes =
[tex]2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}[/tex]
So, the answers are:
Initial population = 313
Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]
sum interior of polygon help!
Answer:
180
Step-by-step explanation:
HELP MARK AS BRAINLIST
Answer: Area for trapezoid= 1/2(4+5×1)=4.5 m
Area of triangle= Iam not exactly sure
hope this helped you a bit
Step-by-step explanation:
the ratio of zinc to copper is 3:19,
if theres 741 copper how much zinc is there?
Answer:
117
Step-by-step explanation:
For every 3 zinc there would be 19 copper, and for every 19 copper there would be 3 zinc. There are 741 copper, so there would be 741 * 3 / 19 zinc, which turns out to be 117 zinc.
A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form
Answer:
500 /3 pi cm^3
Step-by-step explanation:
The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm
That means the radius is
r =d/2 =10/2 = 5 cm
The volume of a sphere is
V = 4/3 pi r^3
= 4/3 pi (5)^3
= 500 /3 pi cm^3
Answer:
Your correct answer is 500/3 cm^3
I will show you how and tell you why it is 500/3 cm^3 down below:
Explanation:
The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:
r = d/2 = 10/2 = 5 cm
and right here I will show you the volume of the sphere:
v = 4/3 r^3
= 4/3 (5)^3
= 500/3 cm^3
Showing these results, you can see that the answer is 500 /3 cm^3
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!!
Answer:
Y=x^2+8
Step-by-step explanation:
find the area of a circle
Answer:
the area is 28.2
Step-by-step explanation:
28.27433388
Answer: hello this its 28.27433388
thats what i got
Step-by-step explanation:
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:
What percentage of 220 is 130?
Answer:
59.09%
Step-by-step explanation:
You find it through the following formula:
Part divided by whole times 100.
Substitute it and you get the answer:
130 / 220 times 100 = 59.09
1. Find a. The length of side
b. The Apothum
c. The area of the regular polygon inscribed in a circle of radius r= 13 cm of hexagon,
2. The side length of inscribed regular polygon is 10 unit long. Find the area of hexagon.
3. The area of inscribed regular hexagon is 18 V3 cm2. Find
8. The radius
b. The side length
c. The Apothum
d. The perimeter
4. If a regular polygon of 12 sides with radius units long is given. What is its area?
please help guys i dont understand
HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4
Answer: Answer is f(x) = 25x4 - 7x2 + x + 4
Step-by-step explanation:
Answer:
d on edg
Step-by-step explanation:
A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?
Answer:
They Played 15 games total
Step-by-step explanation:
Make ratios:
9:60 %
x:100 %
Cross multiply: 60 times x =60x and 9x100= 900 = 60x=900
Divide to get x: 60x/60=900/60
x=15
They Played 15 games total
Please mark brainliest and have a awesome day
what is the ratio of 2 hours and 115 minutes
PLEASE HELP URENT What is the length of leg s of the triangle below?
45°
412
90°
45°
S
O A. 4
O B. 2
O C. 4.4
O D. 1
O E. 52
O F. 5.6
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = s / 4 sqrt(2)
Multiply each side by 4 sqrt(2)
4 sqrt(2) *sin 45 = s
4 sqrt(2) * 1/ sqrt(2) =s
4
A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.
When Joseph pulls a pen from the bag, how many outcomes are possible?
A) 45
B) 10
C) 20
D) 15
Answer:
45 different outcomes
Step-by-step explanation:
There are 10+15+20 = 45 pens in the bag
Since he is pulling one pen, and there are 45 different pens in the bag, there are 45 different outcomes
Answer:
45 fsfs
Step-by-step explanation:
i just took a test and got it right
