Answer:
Reindeer runs in 3 hrs = 20×1/4 miles
Reindeer runs in 1 hr = 81/4 × 1/3 = 6 × 3/4 miles (option 2)
The drama club is holding auditions for 5 different parts in a one-act play. If 9 people audition, how many ways can the roles be assigned?
A. 362,880
B. 15,129
C. 126
D. 120
Answer:
It is B, I got it right on edman!
Step-by-step explanation:
The correct ways can the roles be assigned is 84 ways.
To find ways can the roles be assigned.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given That:
Total individuals = 9
Available roles = 5
First, it'll be assumed that no two individual shares a role and no single individual takes two roles.
Having said this, the number of ways the roles can be assigned can be calculated using the combination formula as follows.
ⁿCr = C(n,r)
Where n represents the total individuals
n = 9
r represents the available roles
r = 5
So,
ⁿCr = C(n,r)
⁹C₆ = C(9,6)
⁹C₆= 9!/((9-6)!*6!)
⁹C₆ = 9!/(3!*6!)
⁹C₆ = (9 * 8 * 7 * 6!)/(6! * 3 * 2 * 1)
⁹C₆ = (9 * 8 * 7)/(3 * 2 * 1)
⁹C₆ = 504/6
⁹C₆ = 84
Hence, 9 roles can be assigned to 5 people in 84 ways.
Learn more about combination here:
https://brainly.com/question/16705925
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The missing option is
E. 84
Which of the following values is the solution to the equation
-35x = -105 ?
1.)3
2.)-3
3.)-1/3
4.)1/3
Answer:
1.) 3
Step-by-step explanation:
Divide each side by -35. Whatever you do to one side of the equation, you must do to the other side.
[tex]\frac{-35x}{-35}[/tex] = [tex]\frac{-105}{-35}[/tex]
X = 3
if a number is randomly chosen from the following list what is the probability that the number is a multiple of 5?
{32, 49, 55, 30, 56, 28, 50, 40, 40, 45, 25}
Answer:
7/11
Step-by-step explanation:
There are 11 numbers with only 7 numbers with a multiple of 5.
Answer:
7/11
Step-by-step explanation:
first, you must determine which numbers are multiples of five. multiples of five are numbers 5 or greater that end in 0 or 5. for example, 5,10,15,20,25... . from this list, you can tell that 7 of these numbers are multiples of 5 : 55,30,50,40,40,45,25 . Next, you count the total amount of numbers. there are 11 numbers in the list. so, the probability of randomly choosing a multiple of 5 is 7/11 :)
A shirt costs $34. Sales tax is 6%. What is the total amount including tax
Answer:
the answer is $36.04
Step-by-step explanation:
34 dived into 100= 0.34 times 6 equals 2.04 34+2.04=36.04
ANSWER PLEASE FINAL DUE IN 3 HOURS
Suppose a normal distribution has a mean of 120 and a standard deviation of 10. What is P(x ≥ 130)?
A.
0.475
B.
0.84
C.
0.16
D.
0.975
Answer:
B
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 130, mean = 120 and SD = 10
Substituting these values
z-score = (130-120)/10 = 10/10 = 1
So the probability we want to calculate is;
P(z ≥ 1) = 1 - P(z <1)
From standard score table, P(z <1) = 0.15866
P(z ≥ 1) = 1-0.15866 = 0.84134
Answer:
0.16
Step-by-step explanation:
How many solutions does this equation have?
–5n = 2 − 6n
Answer:
One solution
Step-by-step explanation:
–5n = 2 − 6n
–5n +6n = 2 − 6n + 6n (Addition Property of Equality)
n = 2
There is one solution to this equation. The value of 'n' is 2.
Answer:
n = 2 thus 1 solution
Step-by-step explanation:
Solve for n:
-5 n = 2 - 6 n
Add 6 n to both sides:
6 n - 5 n = (6 n - 6 n) + 2
6 n - 6 n = 0:
6 n - 5 n = 2
6 n - 5 n = n:
Answer: n = 2
Un naipe inglés consta de 52 cartas repartidas en cuatro pintas distintas, de las cuales dos son rojas (corazón y diamante) y dos son negras (pique y trébol). Cada pinta consta de 3 figuras: rey (K), dama (Q), caballero (J) y de 10 cartas numeradas desde 1 (as) a 10, entonces, la probabilidad de obtener un "AS" de las 52 cartas de una baraja inglesa es:
Answer: P = 4/52 = 0.077 or 7.7%
Step-by-step explanation:
I will answer in English.
We have a deck of 52 cards, and we want to find the probability of drawing, at random, a 1.
We have 4 1's in the deck, one for spades, one for hearts, one for diamonds and one for clovers.
So the probability can be calculated as the quotient between the total number of 1's in the deck and the total number of cards in the deck, this is:
P = 4/52 = 0.077
The cone and the cylinder below have equal surface area.
3r
27
PLEASE HELP WILL GIVE BRAINILEST
Look at the figure below:
Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.
Answer:
I think it was easy.
Kajal holds a ruler in some wavy water. The depth of the water t seconds after she starts measuring it, in cm, is given by D(t)=50−23sin(π(t+0.23)) . After she starts measuring, when is the first time the depth of the waves is at its average value? Give an exact answer.
Answer:
t = 0.77
Step-by-step explanation:
D(t) = 50 - 23 sin(π(t + 0.23))
The value of the sine function has a maximum of -1 and a minimum of 1.
The average value of the sine function is 0.
At maximum sine value:
D(t) = 50 - 23(1) = 50 - 23 = 27
At minimum sine value:
D(t) = 50 - 23(-1) = 50 + 23 = 73
At average sine value of 0:
D(t) = 50 - 23(0) = 50 - 0 = 50
The average depth of the waves is 50 cm.
Now we need to find at what time, t, that occurs.
D(t) = 50 - 23 sin(π(t + 0.23)) = 50
50 - 23 sin(π(t + 0.23)) = 50
-23 sin(π(t + 0.23)) = 0
sin(π(t + 0.23)) = 0
The value of the sine is 0 at 0, π, 2π, ..., nπ
π(t + 0.23) = nπ
t + 0.23 = n
t = n - 0.23
n is all integers, but here we are concerned with the first occurrence after time equals zero, so we want n = 1.
t = 1 - 0.23
t = 0.77
What is the difference?
Math question, help? (Click on photo to zoom in) Thank you.
Answer:
the third one
Step-by-step explanation:
Simplify 15x to the second over 9x
A) - x over 5
B) 5x over 3
C) - 5 over x
D) -2x
Answer:
B
Step-by-step explanation:
We want to simplify [tex]\frac{15x^{2} }{9x}[/tex]. The numerator and denominator both have a common factor of 3x, and when we simplify by 3x, we get 5x/3, or B.
The radius of a circular baking tray is 6 cm. Find its area correct to 2 decimal places. Use the π button on your calculator for π in your calculations.
Answer:
[tex]A \approx 113.10cm^2[/tex]
Step-by-step explanation:
The circle is a flat surface or area limited or closed by a circumference. It is a two-dimensional figure and is formed by making a curve where it will always have the same distance to the center. Its area can be calculated using the following formula:
[tex]A=\pi r^2\\\\Where:\\\\r=radius[/tex]
Therefore the area of the circular baking tray is:
[tex]A=\pi (6)^2=\pi*36=36 \pi=113.0973355\approx 113.10 cm^2[/tex]
Willow Boulevard intersects Main Street at a 71° angle, as shown in the diagram below. What is the measure of angle x ? Explain how you determined your answer.
Answer:
Angle x + 71 degrees = 180
x = 109 degrees
Step-by-step explanation:
helppp plzzz idk I need help
Answer:
The correct answer is y.
Step-by-step explanation:
hope it works out !!
PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!
Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?
A. very crowded
B. violent
C. rowdy
D. not crowded
WILL BE MARKING BRAINIEST!!!!! SO PLEASEE SHOW, EXPLAIN, AND PUT EFFORT PLSSSSSSS!!!!!!
Answer:
A
Step-by-step explanation:
Answer: C-rowdy
- Rowdy is being noisy and the question is asking you to describe Jackson's crowds who attended the ceremony.
what is 9/5 as a decimal?
Answer:
it is 1.8 im sure thats the answer
Step-by-step explanation:
Answer:1.8
Step-by-step explanation:
How many whole numbers are less than n+1?
Thx
Answer:
[tex]n[/tex]
Step-by-step explanation:
The expression [tex]n+1[/tex] represents infinite numbers, because [tex]n[/tex] can be all positive numbers, all negative numbers, or can be an element of the whole number field.
So, generally speaking, the numbers less than [tex]n+1[/tex] are [tex]n[/tex], because [tex]n<n+1[/tex].
Therefore, an expression less than the given one is [tex]n[/tex]
Answer:
n+1
Step-by-step explanation:
What does the expression m2p ÷ 3 equal if m = 3 and p = 6.
Answer:
12
Step-by-step explanation:
3*2*6 = 36
36/3 = 12
The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
plz help
Answer:
14 and 17
Step-by-step explanation:
x+y=41
y=2x-1
x+(2x-1)=41
3x-1=41
3x=42
x=14
y=2(14)-1=27
Step-by-step explanation:
Step 1: Make a system of equation
The sum of two numbers is 41
x + y = 41
The larger number is one less than twice the smaller number.
x = 2y - 1
Step 2: Substitute x from the second equation into the first
[tex]x + y = 41[/tex]
[tex](2y - 1) + y = 41[/tex]
[tex]3y - 1+ 1 = 41 + 1[/tex]
[tex]3y/3 = 42 / 3[/tex]
[tex]y = 14[/tex]
Step 3: Substitute y into the second equation
[tex]x = 2y - 1[/tex]
[tex]x = 2(14) - 1[/tex]
[tex]x = 28 - 1[/tex]
[tex]x = 27[/tex]
Answer: [tex]x = 27, y = 14[/tex]
Frankie is practicing for a 5 km race is normal time is 31 minutes 17 seconds yesterday it's a king only 29 minutes 49 seconds how much faster was Frankie yesterday then his normal time
Answer: He was 1 minute 28 seconds faster.
Step-by-step explanation:
Hi, to answer this question we simply have to subtract Frankie's time yesterday (29 minutes 49 seconds) to his normal time (31 minutes 17 seconds)
Mathematically speaking:
31m 17s - 29m 49s =
(31m-29 m) (17s-49s)=
2m -32s=
1m 60s -32s=
1m 28s
He was 1 minute 28 seconds faster.
Feel free to ask for more if needed or if you did not understand something.
Feel free to ask for more if needed or if you did not understand something.
Use the distributive property to write a new expression that is equivalent to this expression. 8 (-x -(1/2)
Answer:
-8x-4 is the answer using distributive property.
Answer:
-8x -4
Step-by-step explanation:
8 (-x -(1/2))
Distribute
-8*x + 8*-1/2
-8x -4
A group of friends were working on a student film that had a budget of $500. They used $225 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:
45%
Step-by-step explanation:
divide $225 by $500
Answer: 45
Step-by-step explanation:
divide 225 with 500
Complete question 1.
Answer:
multiply by the reciprocal!
so if you have 1/(2/5) it is the same as 1 * (5/2)
A small theater had 6 rows of 23 chairs each. An extra 8 chairs have just been brought in. How many chairs are in the theater now?
Answer:
146
Step-by-step explanation:
6 * 23 = 138
138 + 8 = 146
Answer:
146
Step-by-step explanation:
6x23 = 138
138+8= 148
I will give brainlest, please help me!
Answer:
Number of people: 5
Number of handshakes: 10
Number of people: 6
Number of handshakes: 15
Number of people: 7
Number of handshakes: 21
Number of people: n
Number of handshakes: (n * (n-1))/2
Step-by-step explanation:
(n * (n-1))/2
Use the equation above to solve for # of handshakes
Help! An empty cup in the shape of a cylinder (pictured below) is being filled with water.
Answer:
( About ) 90%
Step-by-step explanation:
We are given the table below;
Number of seconds | Amount of water
0 | 0
3 | 75
6 | 150
Now from this table we see that the rate change is that for every 3 seconds of difference, the amount of water increases by 75 cm^3;
If that is so, the amount of water after 7 seconds is 150 + ( 75 / 3 ), provided the difference in seconds between 6 and 7 is 1 / 3rd that of the difference between 0 and 3, or 3 and 6;
150 + ( 75 / 3 ),
150 + 25,
175 cm^3
Now let us compute the total volume of this cylinder, as such;
πr^2 * height,
π * ( 3 )^2 * 7,
9 * π * 7,
Volume of can ⇒ 197.82 cm^3
175 / 197.82 = 0.9 = Solution; 90%
Answer:
208
Step-by-step explanation:
calculator plus had the same question before
Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm squared how many different rectangles could Alex draw with an area of 11 cm squared give a reason for your anwser please i need help please anwser this quikly.
Answer:
Number of rectangles could alex draw with an area of 11cm² = 1
Step-by-step explanation:
Minimum length in centimeter grid = 1 cm
Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²
That is
[tex]12 = 1 \times12\\\\12=2\times6\\\\12=3 \times4[/tex]
These are the 3 different rectangles with an area of 12cm².
Now we need to find how many rectangles could alex draw with an area of 11cm².
11 = 1 x 11
So only one factorization is possible.
Number of rectangles could alex draw with an area of 11cm² = 1
Answer:
Alex can only drawn 1 rectangle with an area of 11 cm²
Step-by-step explanation:
When Area = 12 cm², Alex could draw 3 rectangles.
This is because, Area of a rectangle = Length * Breadth
and the factors of 12 are 1, 2, 3, 4, 6, and 12.
The 3 triangle formed can be gotten from the correct combinations of these factors, which are 12 × 1, 2 × 6, 3 × 4.
All of these three combinations give us an area of 12 cm²
Similarly when Area = 11 cm², 11 is a prime number and its factors are 1 and 11.
The only combination that can be made from these factors is 11 × 1.
This means that only one rectangle can be drawn
Determine what type of model best fits the given situation:
The membership of the local PTA increases by 3 members a day for each day during the month of September.
A. exponential
B. quadratic
C. none of these
D. linear