The quick way to get the answer is just type "42 choose 11" into Google.
Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.
Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.
Final expression:
C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
Answers:
4,280,561,376 ways
Answer:
42,11
Step-by-step explanation:
One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?
hi this is my first answer
a straight angle has 180°,
here your given angle is 60+60=120°
so your missing angle is 180-120=60°
Step-by-step explanation:
The missing angle is 60° (180 - 60 - 60=60)
Its name: equilateral triangle
Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).
Answer:
cos (α + β) = 0.9196Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196
What is one of the solutions to the following system? Y-3=x, x2-6x+13=y
Answer:
x = 5, x = 2
Step-by-step explanation:
substitute what y equals in the second equation into the first equation.
x²-6x+13-3=x
x²-7x+10 = 0
(x-5)(x-2) = 0
x = 5, x = 2
Answer:
It's C my man
Step-by-step explanation:
What is the square root of m^6?
M^2
M^3
M^4
M^5
Answer:
m³
Step-by-step explanation:
√m⁶=m⁶/²=m³
Answer:
[tex] {m}^{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{ {m}^{6} } \\ \sqrt{m \times m \times m \times m \times m \times m} \\ {m \times m \times m} \\ = {m}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
At an airshow, 8 skydivers were released from a plane in a circle formation. Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon. How many pieces of ribbon were used in the skydiving act?
Answer:
28
Step-by-step explanation:
If a ribbon connects two skydivers, and there are 8 skydivers total, then we can do 8C2, which is equal to (8*7)/2, which is equal to 28. An alternate solution is to think of it this way. Skydiver 1 is connected to everyone else, which is 7 other people. Skydiver 2 is connected to everyone else but Skydiver 1, which is 6 other people. This goes on until Skydiver 8 is already connected with everyone. So we have 7+6+5+4+3+2+1+0, which is also equal to 28.
The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
The equation for combination is
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
The total number of skydivers in the plane n = 8 skydivers
Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon
So , the number of choosing skydivers x = 2
Now , the total number of ribbons used is calculated by combination
So , the equation is
ⁿCₓ = n! / ( ( n - x )! x! )
Substitute the value of n and x in the equation , we get
⁸C₂ = 8! / ( ( 8 - 2 )! x 2! )
= 8! / ( 6! x 2! )
= 8 x 7 / 2 x 1
= 56 / 2
= 28 ribbons
Hence , The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
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Kevin thinks of a number. He adds 2 to the number, multiplies the result by 3,
and then subtracts 6. The number he ends up with is 27. What number did
Kevin start with?
If you work backward to solve this problem, what do you do first?
O A. Subtract 6 from 27
B. Add 6 to 27
C. Multiply 27 by 3
D. Subtract 2 from 27
Answer:
The answer is B.
Step-by-step explanation:
Mark me brainiiest.
can someone please help me on this question?
Answer:
The second figure is rhombus but the first figure is square
Find the GCF of 22ab2 c2 and 40a 3 c2.
4a3b2c2
2ab2c2
4ac2
2ac2
Answer:
work is shown and pictured
Which is the graph of y=[x]-2?
On a soccer team 40% of the goal are scored by a star player on the team.If 70 goals were scored all season, how many are scored by the rest of the team? Plz help me
Answer:
42
Step-by-step explanation:
During the season, 40% of the goals are scored the by the star player. This means that 60% of the goals are scored by everyone else.
100% - 40% = 60%
To find how many goals are scored by the rest of the team, convert the percentage to a decimal. You then have to multiply the decimal by the total goals scored.
60% = 0.6
70 × 0.6 = 42
The rest of the team scored 42 goals.
Answer:
42
Step-by-step explanation:
40% of 70=28
70-28=42
30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)
Which statement about the temperatures in Tucson must be true?
About half of the days in December had average temperatures above 60 degrees.
About half of the days in December had average temperatures between 52 and 60 degrees.
The coldest day in December was 52 degrees.
The hottest day in December was 65 degrees.
Answer:
About half of the days in December has average tempetare between 52 and 60 degrees
(SEE THE ATTACHMENT)
Step-by-step explanation:
See the box-and-whisker plot.
Median = 58
1st quartile (which is the median of all value below 58) = 52
2nd quartile (which is the median of all value above 58) = 60
From 1st quartile to median = Almost quarter of the values
From median to 2nd quartile = Almost quarter of the values
From 1st quatile to 2nd quartile = Almost half of the values
So
1st statement is wrong
2nd statement is correct
3rd statement is wrong (Coldest day was 49 degrees)
4rth statement is wrong (Hottest day was 68 degrees)
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Answer:
[tex]72[/tex]
Step-by-step explanation:
Jeremy is [tex]x[/tex] years-old.
Jeremy's grandfather is [tex]4x[/tex] years-old.
Adding their ages together will get [tex]90[/tex]
[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]
Jeremy's grandfather age would be:
[tex]4x\\4(18)\\72[/tex]
Answer: 72
Step-by-step explanation:
Let Jeremy age be x
Granfather' age is 4x
x + 4x = 90
5x = 90
x = 90/5 = 18
Jeremy' age is 18
Granfather age is 4x = 4*18 = 72
Consider the function.
f(x) = 2 1/2 - 3 1/3x
What is the x-intercept of f-1(x)?
(-3 1/3,0)
(-3/10,0)
(3/4,0)
( 2 1/2, 0)
Answer: (2 1/2, 0) (the last option)
Step-by-step explanation:
I guess the function is:
f(x) = (2 1/2) - (3 1/2)*x
now, the rule for f-1(x) that we know is:
f-1( f(x) ) = x.
So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)
f-1(f(0)) = 0.
And we have that f(0) = (2 1/2) - (3 1/3)*x = 2 1/2
This means that the x-intercept of f-1(x) will be when x= 2 1/2, so the intercept is:
(2 1/2, 0)
Answer: the answer is D
Step-by-step explanation:
big fat smelly ballsack
please be neat when answering
Answer:
In fig. 9, angle Y = angle 110° (vertically opposite angles )
Angle x = angle z = 180 - 110 = 70° (angles on a straight line)
In fig 10, angle y = 78°
Angle x = angle z = 180-78 = 102°
In fig 11, angle x = 83°
Angle y = angle z = 180-83 = 97°
In fig 12, angle y = 37°
Angle x = angle z = 180-37 = 143°
2 Points
A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts
are drawn from a single deck. In order to win, the next card the player draws
from the deck must be higher than the highest card already drawn. What is
the probability that the next card the player draws is a winning card? (An ace
is considered to have a value of 1 and jacks, queens, and kings have a value
of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,
9,10,J,Q,K,
A. 25%
B. 24%
C. 32.6%
D. 8%
Answer:
C) 32.6%
Step-by-step explanation:
Given:
Total number of cards = 52
3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.
To win the next card drawn must be greater than the highest card already drawn.
Required:
Find the probability of winning
Here, the highest card already drawn is 9 of spades or 9 of hearts.
The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.
Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).
Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]
Convert to percentage:
0.326 * 100 = 32.6%
ANSWER ASAP -4x-4/3=x-6
Answer:
x = 0.9333333
Step-by-step explanation:
-4x - 4/3 = x - 6 Multiply through by 3
-12x - 4 = 3x - 18 Add 12x to both sides
-12x+12x-4 = 3x+12x - 18 Combine like terms
-4 = 15x - 18 Add 18 to both sides
-4+18=15x - 18 + 18 Combine like terms
14 = 15x Divide by 15
14/15 = x
x = 0.933333
Find the unknown side of the triangle below (round to the nearest tenth).
A. 18 cm
B. 22.9 cm
C. 26.9 cm
D. 21.2 cm
Please answer this
[tex]answer = 22.9 \: cm \\ solution \\ hypotenuse = 25 \: cm \\ perpendicular = x \\ base = 10 \: cm \\ now \\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {p}^{2} = {h}^{2} - {b}^{2} \\ or \: {x}^{2} = {25}^{2} - {10}^{2} \\ or \: {x}^{2} = 625 - 100 \\ or \: {x}^{2} = 525 \\ or \: {x} = \sqrt{525} \\ or \: x = 22.9 \: cm \\ hope \: it \: helps[/tex]
Match each equation to the situation it represents.
Answer:
Step-by-step explanation:
1) Kate:
Number tickets = x
Cost of 10 tickets = 10x
Parking fee = $ 5
Total money spend = $ 35
10x + 5 = 35
2)Ram:
Number of pen given to a friend =x
Number of pen given to 5 friends = 5*x = 5x
Number of pens left with him = 10
Total pens he had before giving to his friends = 35
5x + 10 = 35
Answer:
Left. Right
1. - c
2. - b
3 - a
what is the difference for -22 - (-26)
Answer:
4
Step-by-step explanation:
1. Water is filling a bathtub at a rate of 7 gallons per minute. Complete the table of equivalent
ratios for the first 5 minutes of the bathtub filling up.
Answer:
amount of water: 7, 14, 21, 28, 35
time : 1,2,3,4,5
Solve for z plz help me
Answer:
Let's get all of the z terms on one side. When we do so we get tz + cz - 6z = -83. We can factor the left side as z(t + c - 6) = -83 so our answer is z = -83(t + c - 6).
Answer:
Z= 83
——————
(-c + 6)
Step-by-step explanation:
Simplify the expression below and explain your steps. x/2=x/8
Answer:
x2-x-8=0
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -1 .
-8 + 1 = -7
-4 + 2 = -2
-2 + 4 = 2
-1 + 8 = 7
A.75/1 dollars per daythe cost $75 for each day.
B.1/25 dollars per day; the cost is $25 for each day.
C.1/150 dollars per daythe costs $1 for 150 days
D.25/1 dollars per daythe cost is $25 for each day
Answer:
D
Step-by-step explanation:
Count by 25. Its a no-brainer honestly.
It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed? Round to nearest hundredth.
Answer:
9.3 acres per pound
Step-by-step explanation:
93/10
A cake recipe calls for 40 milliliters of water for every 20 milliliters of cooking
oil. How many milliliters of water are needed if 50 milliliters of cooking oil
were used?
O A) 25 ml
OB) 100 ml
O C) 200 ml
OD 1,000 ml
Answer:
B
Step-by-step explanation:
20x2 is 40, so 50x2 is 100
Answer:
BBBBBBBBBBBBBBBB
Step-by-step explanation:
Is the square root of 16 + 3/4
x and y are integers.
y>2
x<2
y< x + 3
Find the only pair of possible
values for x and y.
Answer:
Y=3
X=1
3<1+3
Hope that helps
The only pair of possible values for x and y is (1,3) that satisfies the inequality expression.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.
For the given situation,
The expression is
x and y are integers, y>2, x<2
y< x + 3
[tex]x < 2[/tex] , x can take any value less than two.
⇒ [tex]x=1[/tex] and
[tex]y > 2[/tex] , y can take any value greater than two
⇒ [tex]y=3[/tex]
Thus the expression becomes,
⇒ [tex]y < x + 3[/tex]
⇒ [tex]3 < 1 + 3[/tex]
⇒ [tex]3 < 4[/tex]
Hence we can conclude that the only pair of possible values for x and y is (1,3) that satisfies the inequality expression.
Learn more about inequalities here
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30 out of 65 students in the class are bus riders. In lowest terms,
out of
students are bus riders.
Answer:
6 out of 13 (6/13)
Step-by-step explanation:
30/65
Simplify by dividing both sides by 5
6/13
Tada!
What is the absolute value of -12 – 5?
Answer:
17
-12 - -5 = -17
-17 is 17 numbers away from 0 so 17 is the answer
Hope this helps
Step-by-step explanation:
CAN SOMEONE HELP OVER HERE LOL PLEASE HELPPPPP Solve the inequality. -3/4y less than 9. The solution set is ?
Answer: y<-12
Step-by-step explanation:
[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.
[tex]y>-12[/tex]
You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].
