Answer:
true
Step-by-step explanation:
A scratch-off lottery ticket has 14 concealed spaces among which are 4 symbols saying "Win!". The person who bought the ticket scratches the black yucky stuff off 3 spaces, winning an instant $10 if all three are winners. What's the probability of winning this game? I'm confused about this please help!
Answer:
Step-by-step explanation:
since this has something to do with chance im guessing maybe percentage of winnign this
so
4/14 x 100 so 28.57% probability of winning this game i believe
Exact answer as a fraction = 1/91
Approximate answer in decimal form = 0.010989
Approximate answer in percent form = 1.0989%
=====================================================
Explanation:
Let's think of the problem another way.
Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.
One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).
---------
We have two questions we need to answer:
How many possible combinations are there? How many combinations are a winner?We'll use the nCr combination formula
[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]
We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.
If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.
I'll list the steps in the attached image below (to save space here).
This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.
---------
That wraps up question 1. Now onto question 2.
We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.
note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.
So this means there are 4 ways to win the game.
------------------------------------
In summary so far, we found
There are 364 ways to play the gameThere are 4 ways to win the gameThis means the probability of winning is 4/364 = 1/91
Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%
Which of the following is an equivalent expression to the given expression using the commutative property of addition?
2(xy)+5x
Question 1 options:
(xy)2+5x
(2x)y+5x
5x+2(xy)
x(2y+5)
Answer:
I think it's the 2rd equation
Last one pls help me
Answer:
√89
Step-by-step explanation:
I assume you have to find the short cut, right?
5² + 8² = 25 + 64 = 89 = ( √89 )²
Marissa is purchasing holiday hams and turkeys for her employees. If she buys 15 hams and 10 turkeys, her total cost will be $719.75. If she buys 17 hams and 8 turkeys, it will cost her $705.75. How much is each ham?
How much is each turkey?
Answer:
turkey=$32.786
ham=$26.086
Answer:
I believe that each turkey would be 47.94$ for each piece And the ham would be 41.51$ for each piece.
Step-by-step explanation:
Hope this helps!
Find the area of the triangle.
Answer:
1325 yd²Step-by-step explanation:
Area formula
A = 1/2bhGiven
b = 53 yd, h = 50 ydThen the area is:
A = 1/2(53)(50) = 1325 yd²Arunner jogs 2 mi 120.3 yd. how far does the runner jog in meters?
round your answer to the nearest tenth of a meter.
conversion ratios:
1 m = 3.3 ft
3 ft = 1 yd
5,280 ft = 1 mi
1,760 yd = 1 mi
?
Answer:
To the nearest tenth of a meter, this is 3,309.4 m
Step-by-step explanation:
Here, we want to convert the jogging distance to meters only
we have 2 miles 120.3 yards
5,280 ft = 1 mile
2 miles will be 5,280 * 2 = 10,560 ft
3 ft = 1 yard
x ft = 120.3 yards
x = 120.3 * 3 = 360.9 ft
Adding both together to give ft only, we have
360.9 + 10,560 = 10,920.9 ft
1 m = 3.3 ft
x m = 10,920.9 ft
x = 10,920.9/3.3
x = 3,309.363636363636
To the nearest tenth of a meter, this is 3,309.4 m
Which of the following shows 7.538 correctly rounded to the ones place?
8.038
8
7
7.5
Can someone please answer these questions???!
Answer:
Step-by-step explanation:
sub in all your x values into the linear equation it gives you
once you have your table you should be able to figure out the rest if the questions !!
F(x)=-4x^2+10x-8
What is the value of the discriminating of f
Answer:
f(x)=-4x^2+10x-8
Step-by-step explanation:
well x normally equals 1 so replace all X's with 1 and solve
4*1=4 to the power of 2 is 16
10*1=10 subtract 8 equals 2 so
16-2= 14
F(x) is 14
the Y would be 14
Answer:
Here are Both Anwsers
Step-by-step explanation:
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
Answer:
x = 0
Step by step explanation:
g ( x ) = 2x + 3
If x = 0,
g ( 0 ) = 2 (0) + 3
or, g ( 0 ) = 3
Hope that helped :)
The probability of event A is 0.2 and probability of event B is 0.3. Given that A and B are independent, then the probability of A and B (A intersection B) is: Choose one • 10 points 5% 6% 9% 13%
Answer:
[tex]P(A\ n\ B) = 6\%[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.2[/tex]
[tex]P(B) = 0.3[/tex]
Required
Determine [tex]P(A\ n\ B)[/tex]
Since both events are independent;
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]
[tex]P(A\ n\ B) = 0.06[/tex]
Convert to %
[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]
[tex]P(A\ n\ B) = 6\%[/tex]
You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you the direction of your move, and has 4 faces
that say "forward and 2 faces that say backward." The green die tells you how far to move, and has 1. 1. 2.2.3, and 4 on the faces. On your turn, what is the
probability that you move backward 2 spaces
Answer: The probability is 1/9.
Step-by-step explanation:
First, let's define the possible outcomes of each dice:
Red: Forward (4 times), Backward (2 times)
Green : {1, 1, 2, 2, 3, 4}
We want to find the probability of moving backward 2 spaces.
Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.
First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:
p1 = 2/6 = 1/3.
And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):
p2 = 2/6 = 1/3.
Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:
P = p1*p2 = (1/3)*(1/3) = 1/9.
What is the solution to
{y=14x+3y=2x+10
Answer:
The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])
Step-by-step explanation:
∵ y = 14x + 3 ⇒ (1)
∵ y = 2x + 10 ⇒ (2)
→ Equate equations (1) and (2) to find x
∵ 14x + 3 = 2x + 10
→ Subtract 2x from both sides
∴ 14x - 2x + 3 = 2x - 2x + 10
∴ 12x + 3 = 10
→ Subtract 3 from both sides
∴ 12x + 3 - 3 = 10 - 3
∴ 12x = 7
→ Divide both sides by 12 to find x
∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]
∴ x = [tex]\frac{7}{12}[/tex]
→ Substitute the value of x in equation (1) or (2) to find y
∵ y = 2([tex]\frac{7}{12}[/tex]) + 10
∴ y = [tex]\frac{7}{6}[/tex] + 10
∴ y = [tex]\frac{67}{6}[/tex]
∴ The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])
please help, this is honors geometry, I need this done as soon as possible
Answer:
See Explanation
Step-by-step explanation:
Since both the arcs centered at A and B are drawn as radius AB.
Therefore, AB = BC = AC
So, triangle ABC will be an equilateral triangle.
Since, AB = 5 CM
THEREFORE,
AC = 5 CM
BC = 5CM
Measure of each angle of equilateral triangle is 60°
Therefore,
Angle A = 60°
Angle B = 60°
Angle C = 60°
Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.
0.571428
is or is not the decimal equivalent of
4
7
. Write your answer in the space provided.
Answer:
4 ÷ 7 = 0.571428
Step-by-step explanation:
4 ÷ 7 = 0.571428
RT and UW are parallel lines. Which angles are vertical angles? help asap
Answer:
139 degrees
Step-by-step explanation:
Scott bought three bags of candy with 75 pieces in each one. He plans to divide all the candy evenly among seven friends. How many pieces of candy will Scott have left for himself?
Answer:
he will have 28 pieces
Step-by-step explanation:
75*3=250
250/8=28
A chess Club with 80 members is electing a new president. Yoko received 72 votes. What percentage of club members voted for Yoko?
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10
and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Hope this helps!
fatore a equação
2x²-3xy-2y²-2x-11y-12
2x²-3xy-2y²-2x-11y-12
Write -3xy as a difference
2x²+xy-4xy-2y²-2x-11y-12
write -2x as a difference
2x²+xy-4xy-2y²+4x-6x-11y-12
Write -11y as a difference
2x²+xy-4xy-2y²+4x-6x-8y-3y-12
Factor out 2x from the expression
2x×(x-2y-3)+xy-2y²+4x-8y-3y-12
Factor out y from the expression
2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12
Factor out 4 from the expression
2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)
Factor out x-2y-3 from the expression
Answer: (x-2y-3)x(2x+y+4)
PLEASE MARK ME AS BRAINLIEST!!
)A triangle is shown on the graph:
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
Answer:
45
Step-by-step explanation:
Answer:
45 idrk
Step-by-step explanation:
SCOOBY-dooby-do-la-de-da-de-da
1
o
2
3
4
5
6
7
8
9
10
Which of the following could be the number shown on the number line?
A. 172
B. V 79
C.
82
D. 63
Answer:
A
Step-by-step explanation:
8.5 x 8.5= 72.25
so basically it's the closest answer
I’ll post part one but plz help it’s worth 15POINTS I’ll mark as Well!!!!
Answer:
Wellll
Step-by-step explanation:
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
Given:
Polynomial is [tex]3x^2+15x-56[/tex].
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
[tex]3x^2+15x-56+(x-8)^2[/tex]
[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]=3x^2+15x-56+x^2-16x+64[/tex]
On combining like terms, we get
[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]
[tex]=4x^2-x+8[/tex]
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].
Write 24/25 as a decimal.
There are 76 people signed up for a speedboat tour. Each speedboat can transfer 9 people. How many speedboats will be needed for the people who signed up?
Given:
Total number of people who signed up = 76
Each boat can transfer = 9 peoples
To find:
The number of boats required.
Solution:
We know that,
[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]
On substituting the values, we get
[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]
[tex]\text{Required number of boats}=8.44...[/tex]
Number of required boats must be a whole number. So, approximate the data to the next whole number.
[tex]\text{Required number of boats}=9[/tex]
Therefore, the required number of boats is 9.
When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
Insert a rational number between 1/2 and 1/3 by mean method?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
To find a rational number by the mean method.
Add the 2 fractions and divide the result by 2
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]
To add the fractions we require them to have a common denominator.
The LCM of 2 and 3 is 6 ← required common denominator
Multiply numerator/denominator of first fraction by 3
Multiply numerator/denominator of second fraction by 2
= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]
= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )
= [tex]\frac{5}{6}[/tex]
Now divide by 2
[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )
= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{12}[/tex]
This is the fraction midway between the 2 given fractions
What is the slope of a line that passes through these points? (5, 3) and (4, 1).
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -3)/(4 -5) = -2/-1
m = 2
The slope of the line is 2.
Answer:
2
Step-by-step explanation:
ΔY = 1 – 3 = -2
ΔX = 4 – 5 = -1
two negatives make a positive
find three consecutive numbers whose sum is 84
Answer:
three consecutive numbers that add up to 84 are 27,28 and 29
Step-by-step explanation:
27+28=55
55+29-=84