Answer:
Approximately 58.4%
Step-by-step explanation:
The probability that they are different is the opposite of the probability that they are the same.
The probability that they are the same is:
P(plain, plain) = (12/20) (11/19) = 132 / 380
P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380
P(currant, currant) = (3/20) (2/19) = 6 / 380
P(same) = 132/380 + 20/380 + 6/380
P(same) = 158/380
P(same) = 79/190
Therefore, the probability that they are different is:
P(different) = 1 − 79/
[tex]\frac{111}{190}[/tex] is the probability that the two biscuits were of not the same type.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, Carolyn has 20 biscuits in a tin.
She has 12 plain biscuits, 5 chocolate biscuits and 3 ginger biscuits
Carolyn takes at random two biscuits from the tin.
We have to find out the probability that the two biscuits were of not the same type.
P(plain biscuit, plain biscuit) [tex]=(\frac{12}{20} )(\frac{11}{19} )=\frac{132}{380}[/tex]
P(chocolate biscuit, chocolate biscuit)[tex]=(\frac{5}{20})(\frac{4}{19} )=\frac{20}{380}[/tex]
P(ginger biscuit, ginger biscuit)[tex]=(\frac{3}{20}) (\frac{2}{19})=\frac{6}{380}[/tex]
Probability of same type of biscuits
[tex]=\frac{132}{380} +\frac{20}{380}+\frac{6}{380}[/tex]
[tex]=\frac{79}{190}[/tex]
The probability that the two biscuits were not of the same type.
[tex]=1-\frac{79}{190}[/tex]
[tex]=\frac{111}{190}[/tex]
Hence, we can conclude that [tex]\frac{111}{190}[/tex] is the probability that the two biscuits were not of the same type.
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PLEASE HELP ME!!
Does the following depict a translation, reflection, or rotation?
The product of 2x^3 and 6x^5 is
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
zero
one
two
infinitely many
Answer:
Zero Solutions
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+13=3(x+6)+1
3x+13=(3)(x)+(3)(6)+1(Distribute)
3x+13=3x+18+1
3x+13=(3x)+(18+1)(Combine Like Terms)
3x+13=3x+19
3x+13=3x+19
Step 2: Subtract 3x from both sides.
3x+13−3x=3x+19−3x
13=19
Step 3: Subtract 13 from both sides.
13−13=19−13
0=6
Answer:
There are no solutions.
What is the answer for
√x+5 +2=√x-7
Solution: x∈Ф
No solution
Step-by-step explanation:
[tex]\sqrt{x} +5+2=\sqrt{x} -7[/tex]
[tex]5+2=-7[/tex]
[tex]7=-7[/tex]
[tex]1=-1[/tex]
x∈Ф
What’s the awnser to this question.
Answer:
(g ￮ f )(x)
Step-by-step explanation:
(g ￮ f )(x) means substitute f(x) into g(x) , that is
g( [tex]\frac{1}{x-2}[/tex] )
= [tex]\frac{1}{x-2}[/tex] + 5
Answer:
(g ￮ f )(x)
Step-by-step explanation:
F(x)=(X+1)(x+3)(x-4)
Answer:
y=x3−13x−12
Step-by-step explanation:
The jazz band has m(variable) members. To raise money for a tour, each member sold 12 raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer: 12m
Step-by-step explanation:
Each member sells 12 tickets, so you would have to multiply the amount of tickets(12) by the amount of members(m).
=============================================
Explanation:
1 person sells 12*1 = 12 tickets
2 people sell 12*2 = 24 tickets
3 people sell 12*3 = 36 tickets
....
m people sell 12*m = 12m tickets
m is a placeholder for a positive whole number (1,2,3,...)
The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the convention center was $11.50. How many miles the trip is from the airport to the convention center?
Use m for the variable.
Answer:
m=13
Step-by-step explanation:
11.50-5.00= 6.50
6.50 divided by .50
= 13 miles
m=13
Q(8,7), r(-7,2) s(8,13),t(-11,2) is it parallel
Answer:
it’s neither parallel or perpendicular
Step-by-step explanation:
Select the correct answer from each drop-down menu. Samson is making a shipping box out of a 2-foot by 4-foot piece of cardboard. He will cut two squares of side length x and two rectangles with a width of x out of the cardboard and then fold the cardboard along the lines to make the box. He models the volume, , in cubic feet, as a function of the length x, in feet. He created the diagram and graph to model the box and its volume. Image not drawn to scale The zeros of function v occur at 0 and 1 . To make the box, Samson should use a value for x.
Answer: 0 and 1, less than 0
Step-by-step explanation:
Answer:
The zeros of function v occur at 0 and 1. To make the box, Samson should use a value between 0 and 1 for x.
Step-by-step explanation: PLATO
Select the coordinates of two points that are on the line x = 5.
Answer:
anything as long is 5 is in the x spot, ex: (5, 1) or (5, 2)
Step-by-step explanation:
x=5 is a straight line up from the x axis where 5 is, meaning it has an undefined slope
Katie borrowed $550. Four months later, she sent a cheque for $562.83 to repay the loan and interest. What was the interest rate charged?
Answer:
3 percent
Step-by-step explanation:
562-550=12divided 4=3
What is the remainder in the synthetic division problem below? 14 6 - 1
Answer:8
Step-by-step explanation:
6. Six 2 liters of Pepsi cost $12. How much would 15 two - liters of
Pepsi cost?
Answer:
30 doll hairs
Step-by-step explanation:
6/12=2 which is the price of one 2 liter bottel
2x15=30
Hope this helps!!
What steps are needed to solve 3 (2x -1) -3 =12
Answer:
x=3
Step-by-step explanation:
6x-3-3=12
6x=18
x=3
x divided by 1.6=9 what is x
Answer:
14.4
Step-by-step explanation:
Answer:
14.4
Step-by-step explanation:
Since you divided X by 1.6 to get 9. You will multiply 1.6 to 9 to get your answer which is 14.4.
URGENT!!! I REALLY NEED HELP! also its not D I just clicked on it
Answer:
i think the answer is C. x = {1,3}
Step-by-step explanation:
Answer:
I DON'T 74CKIN KNOW.
jk, pretty sure it's x = 1
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the equation of the circle whose center and radius are given.
center (5, 6), radius = 3
PLEASEEEE HELPPPP!!!! 50 POINTSSS!!!!!
Answer:
Please check this image for the answer.
Answer:
(x - 5)² + (y -6)² = 9Step-by-step explanation:
Formula for the circle is
(x – h)² + (y – k)² = r²Using the center (5, 6) and radius of 3
(x - 5)² + (y - 6)² = 3²(x - 5)² + (y -6)² = 9Express the following equation in slope-Intercept form: 9x - 4y=-36
Answer:
y= 9/4x+9
Step-by-step explanation:
you write the 9/4 as a fraction it looks a little confusing I don't have an actual fraction symbol so it's 9/4 then x plus 9 :)
Use the graph below to find the coordinates of J'after J(-5, 1) was reflected over the linex=-3.
Answer:
J's would be (-5,-4) if J was reflected over the line x=3.
If you were to describe a translation of triangle , what information would you need to include in your description?
3x + 2y + 4 ; x= 2 and y=3 |
Answer:
if x=2 and y=3 then
3x+2y+4 ---> 3(2)+2(3)+4
3(2)+2(3)+4
6+6+4
6+10
16
Work out the size of angle x
Answer:
Let's name the angle right close to 51 as c.
c = 180°-51° since angles on a straight line is equal to 180°.
so c= 129°
so x = 129° since it corresponds to c
Answer:
Step-by-step explanation:
Notice that the line that the variable x is on is equal to 180 degrees. Because the angle that it is next to is equal to 51 degrees, you subtract 180 from 51:
180-51=129
The final answer to this problem is 129 degrees.
is 45.03 greater then 40.44 or are they equivalent?
Answer:
greater
Step-by-step explanation: 45 and 40
Answer: Yes 45.03 is greater than 40.44
Step-by-step explanation: 45.03 - 40.44 = 4.59 since it isn't zero they aren't eqivilant.
− 3 − {3 − [ − 3(2 +4) − ( − 2)]}
2. Tommy's friend Jack also washes windows to earn
money Jack gets paid according to the graph:
a. At what unit rate (dollars/hour) does Jack get
paid?
Hours
b. Who gets paid more per hour Tommy (from question 1) or Jack? Explain how you know
Answer:
A. 5 per hour.
Step-by-step explanation:
A. Look at the graph, find where the 60 is, that equals to an hour. Then go right to find the dot. Go down and find the number, the number is 5.
B. There is no question one we are seeing, please specify the question.
f(x) = 3x^2 + 16 Find f(-1)
Answer:
Step-by-step exThis is a way to express finding the inverse function of
f
(
x
)
=
x
2
−
16
Explanation:
First, write the function as
y
=
x
2
−
16
.
Next, switch the
y
and
x
positions.
x
=
y
2
−
16
→
Solve for
y
in terms of
x
x
+
16
=
y
2
y
=
√
x
+
16
The inverse function should be
f
−
1
(
x
)
=
√
x
+
16
put the numbers vertical
The value of the function for x = -1 is 19.
Given is a function f(x) = 3x² + 16 we need to find f(-1),
To find f(-1), we substitute -1 into the function f(x) and evaluate the expression.
Let's do that:
f(x) = 3x² + 16
Substituting x = -1:
f(-1) = 3(-1)² + 16
Simplifying:
f(-1) = 3(1) + 16
f(-1) = 3 + 16
f(-1) = 19
Therefore, f(-1) is equal to 19.
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If you buy a ticket in a certain lottery game, 30% of the players will get paid 1
$2,20% of the players will get paid $5, and 5% of the players will get paid
$25. All other players get paid nothing. What is the expected amount that a
player of this lottery game will get paid?
Answer:
most are expected to get nothing
Answer:
You're at a carnival and you see a game. For $2 you roll a standard six-sided die. If the number showing is a six you win $10, otherwise, you win nothing. If you're trying to make money, is it in your interest to play the game? To answer a question like this we need the concept of expected value
Step-by-step explanation:
Each year for 3 years, the time it takes to run a mile decreases by 7 seconds.
What number represents this total change in time.
Answer:
21
Step-by-step explanation:
y=f(1/3x) & find new coordinates
Answer:
A(-3,0)
B(6,1)
C(15,0)
Step-by-step explanation:
To find the three new coordinates A,B,C we have to find out the equation of the original curve y=f(x) which is shown in the figure. We find that equation by using the turning point (2,1) which is point B and take any other point either A or C which intercept's the x-axis, i took C. We put both these points into the completing square formula of the curve.
[tex]y=a(x-h)^2+k[/tex]
where (h,k) are the turning points (2,1) respectively and C (5,0) corresponds to (x,y)
so the equations becomes
[tex]0=a(5-2)^2+1\\0=a(3)^2+1\\0=9a+1\\-1=9a\\a=\frac{-1}{9}[/tex]
So our equation y=f(x) becomes
[tex]y=-\frac{(x-2)^2}{9}+1[/tex]
now for
[tex]y=f(\frac{x}{3} )[/tex]
we replace the x in the original equation above with x/3 which changes the equation to
[tex]f(\frac{x}{3} )=-\frac{(\frac{x}{3}-2)^2}{9} +1[/tex]
and now we sketch the curve we have our hints for the new points A,B,C our hint is that the original points A and C are the x-intercepts so the new A and C lets name them A' and C' must be the x-intercepts as well and B is the turning point of y=f(x) so the new point B' must be the turning point of y=f(x/3)
so we simply sketch the curve y=f(x/3) use an online graph plotter if you know how to sketch it to save time or if you don't know you can ask me and i'll teach you cause learning to sketch isn't in the question so furthermore we sketch the curve i attached the figure in an image you check it out and the new points as well.