Answer: $15,660 & 32 v.c
Step-by-step explanation:
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
Complete question is;
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
A) How many ways can this be done, if the order of the choices is taken into consideration?
B) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
A) 524160 ways
B) 4368 ways
Step-by-step explanation:
A) If the order of choices is taken into consideration, then it is a Permutation problem.
Formula for Permutation is;
P(n, r) = n!/(n - r)!
In the question, n = 16 and r = 5
Thus;
P(16, 5) = 16!/(16 - 5)!
P(16, 5) = 524160
B) If the order of choices is not taken into consideration, then it becomes a Permutation problem.
Formula for Combination is;
C(n, r) = n!/((r! × (n - r)!)
C(16, 5) = 16!/((5! × (16 - 5)!)
C(16, 5) = 4368
Of the 52 cards in the deck, four are aces and others (kings, queens, jacks, and tens) are worth 10 points each. The dealer has a blackjack if one card is an ace and the other is worth 10 points; it doesn't matter which card is face up and which card is face down. How many different blackjack hands are there?
Answer:
64 different black jack hands
Step-by-step explanation:
there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.
Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:
possibility of getting 1 ace = 4/52 = 1/13
possibility of getting 1 ten = 16/51
possibility of getting a blackjack = 16 / 663
if you start with the 10 first the odds are the same:
possibility of getting 1 ten = 16/52 = 4/13
possibility of getting 1 ace = 4/51
possibility of getting a blackjack = 16 / 663
i need help asap please
Answer: The answer is 0.00065
Step-by-step explanation: Cuz I am good at math.
Question 3: Determine the missing base in the equation problem below. 75eight = 23 base
Answer:
29
Step-by-step explanation:
Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:
[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]
Hence the missing base is 29
if f (x) = 2/3x² + 8x, what is the value of f(6)?
Answer:
72
Step-by-step explanation:
replace the variable of x with 6 in the equation.
PLEASE HELP!!!!!! PLEASE
write an equation and use it to find the value of x will mark brainiest
Answer:
equation: (12x+19) + (22x-9) = 180
x= 5
Step-by-step explanation:
the equation was made by the fact that the angles would add up to equal 180 degrees since the line made by them is straight
(12x+19) + (22x-9) = 180 is the same as 12x + 19 + 22x - 9 = 180
add like terms: 34x + 10 = 180
subtract 10 from both sides: 34x = 170
divide both sides by 34 to find x: x = 5
Answer:
12x+19+22x-9=180Step-by-step explanation:
its a supplementary angles:
meaning two angles adds up to 180
therefore,
12x+19+22x-9=180
-------------------------------
to find the value of x:
12x+19+22x-9=180
12x + 22x = 180 - 19 + 9
34x = 170
x = 170 / 34
x = 5
Compare the values 4 times 10^7 is times as much as 4 times 10^3
Answer:
4 x 10^7 - 4 x 10^3 = 39,996,000
Step-by-step explanation:
4 x 10^7 = 40,000,000
4 x 10^3 = 4,000
Create 3 equivalent ratios for 5:7
Answer:
10:14
15:21
20:28
Step-by-step explanation:
is y=0.18.x proportional
Answer:
-50/9 is the answer i think
Which statement best describes the relationship between the graphs of the two linear equations below?
3
y=-2 +4
2
3x - 2y = -8
The lines are
parallel
5
The lines intersect
and are
perpendicular
The lines intersect
and are not
perpendicular
The lines are the
same
Answer:
Step-by-step explanation:
6
Given (-1, -8) & m=2
write the corresponding equation in SLOPE-INTERCEPT FORM (No caps, no spaces)
Answer:
y=2x+15
Step-by-step explanation:
just count from (-1,8) to get y intercept
Identify the terms, coefficients, and constants in the expression.
7h + 3
I need help now!!!!!
Step-by-step explanation:
7 is the coeffiecient
3 is the constant
Miss Johnson walks at a rate of 2 miles
per hour.
x = hour
y = miles walked
what is the constant of proportionality and equation?
Answer:
The constant of proportionality is 2 it is y=2x
Step-by-step explanation:
Each time the number goes up it goes up by two i hope this helps have a nice day
what is 936,292 rounded to the nearest thousand
Answer:
936,000
Step-by-step explanation:
936,292 rounded to the nearest 1,000 is 936,000 as 292 is less than 500, you have to round down, to get 936,000.
The square root of 1000 is between
A.498 and 502
B.98 and 102
C.48 and 52
D.28 and 32
Answer:
D
the square root of 1000 is 31.6227766017
Step-by-step explanation:
BRANIEST
What is the slope and y intercept of the
following equation? y = -5x - 2
Answer:
slope: -5 y intercept: (0,-2)
Step-by-step explanation:
y=mx+b
slope: m y int: b
Answer:
y intercept is -2 and slope is -5
Step-by-step explanation:
The equation is in slope-intercept form or y=mx+b.
This is awsome cause its super easy to find the slope and y intercept if you know exactly where to look.
so if try looking at the formula y = m x + b as y = (slope) x + (intercept)
if you subtracting b that just means your y intercept is going to be negative
and its the same with your m, if its negative your slope is gonna be negative.
hope this helped
PLEASE HELP ASAP!)Carter graphs the equivalent ratios shown in the table. If one of the ordered pairs Carter graphs is (4,2), which other ordered pairs does he graph? Check all that apply.
Answer:
(8,4)
(16,8)
Step-by-step explanation:
The table is given which shows the number of yellow tiles and red tiles.
The first row in the table shows that if there are 4 red tiles then there will be 2 yellow tiles. This relation can be defined as the number of red tile will always be double the amount of number of yellows tiles. Carter graphs this point as (4,2) where number of red tiles are plotted on x axis and number of yellow tile are plotted on y axis.
Consider the second row of the table. Number of red tiles is 8 while number of yellow tiles is 4, so the point he plots on the graph is (8,4)
Similarly, other points are (12,6) and (16,8)
A restaurant sells 140 burgers a day. If sales increase by 60%, how many burgers does the restaurant sell a day?
The terminal side of angle θ intersects the unit circle in the first quadrant at (925,y). What are the exact values of sinθ and cosθ?
Correct question is;
The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?
Answer:
sinθ = (√544)/25) and cosθ = 9/25
Step-by-step explanation:
We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;
(9/25)² + y² = 1²
y² = 1 - (9/25)²
y² = (625 - 81)/25²
y² = 544/25²
y = ±(√544)/25
We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.
Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]
In unit circle geometry, cosθ = x, while sinθ = y.
Thus; sinθ = (√544)/25) and cosθ = 9/25
The exact value of [tex]sin\theta[/tex] and [tex]cos\theta[/tex] is [tex]cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex] and this can be determined by forming the equation of circle.
Given :
The terminal side of angle [tex]\theta[/tex] intersect at unit circle ([tex]\frac{9}{25}, y[/tex]).
From general representation of equation of circle , we can write
[tex]x^{2} + y^{2} = a^{2}\\[/tex]
[tex](\frac{9^{2} }{25^{2} })[/tex] + [tex]y^{2} = 1^{2}[/tex]
[tex]y^{2} = 1 - \frac{81}{625}[/tex]
[tex]y^{2} = \frac{625-81}{625}[/tex]
[tex]y^{2}=\frac{544}{625}[/tex]
Taking square root both sides
[tex]y= \frac{\sqrt{544} }{\sqrt{625} }[/tex]
[tex]y = \frac{\sqrt{544} }{25}[/tex]
We are taking only because point lies in first quadrant.
The terminal side of angel [tex]\theta[/tex] unit circle in first quadrant at [tex](\frac{9}{25} , \frac{\sqrt{544} }{25})[/tex]
In unit circle
[tex]x = cos\theta , y = sin\theta[/tex]
[tex]\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex].
For more information click on the link gives below
https://brainly.com/question/23841023
Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?
7. The population of Canada is about 37.59 million. How is this number written in scientific
notation?
(Please hurry)
Answer:
3.759*10^7
Step-by-step explanation:
A vine called the mile-a-minute weed is known for growing at a very fast rate it can grow up to 0.25 ft per day. How fast in inched per hour can the mile-a-minute weed grow up to?
Answer:
it can grow .125 inches an hour
Step-by-step explanation:
if thats not what u were looking for commet it and ill try to help more
Answer:
.125 inches per hour
Step-by-step explanation:
you divide .25 by 24, since there are 24 hours in a day and get .0104.... and then you multiply that by 12, since there are 12 inches in a foot and get .125 inches per hour.
Which statement describes how to determine if a relation given in a table is a function? OIf none of the output values are repeated, the relation is a function. Olf none of the input values are repeated, the relation is a function. If any of the input values are equal to the output values, the relation is a function. f all the output values are paired with the same input value. the relation is a function.
Answer: if none of the input values are repeated the real action is a function
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
If none of the input values are repeated, the relation is a function.
i dont know how to explain but edge 2020/2021
9(k+12)+4k2 when k= 3 the 2 is small
Answer:
the answer is 4k^2+9k+108
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....
[tex]9(k+12) + 4k^{2}[/tex]
if k=3 we would replace all the k's with 3.
9(3+12) + 4(3)²
9(15) + 4(9)
135 + 36
171
So the answer would be 171
Hope that helps and have a great day!
Find the slope of the line through the points (3,2) and (4,5).
Answer:
[tex]m=3[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{5-2}{4-3}[/tex]
[tex]m=\frac{3}{1}[/tex]
[tex]m=3[/tex]
Challenge An arts academy requires there to be 3 teachers for every 51 students and 5 tutors for
every 55 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 88 students?
The academy has students per teacher.
Please help with this problem thank you.
-8 + n = 62 What is n?
Answer:
n = 70
Step-by-step explanation:
-8 + n = 62
n = 70
7(3-x) ≤ 5x-15 solve for x
Answer:
x≥3
Step-by-step explanation:
Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then folded, put in a hat, and mixed thoroughly. One piece of paper is chosen (without looking) from the hat. What is the probability it is an I? *
2/5
1/3
4/11
1/4
Answer:1/4
Step-by-step explanation: