a bag contains 10 playing cards . 7 of which are Black and 3 Red . Two cards are drawn one after the other from the bag without replacement. A. Find the probability that a Red and a Black cards were drawn.
Answers
Number of red balls =3
Number of black balls =7
Total number of balls =10
Let ,P(A)= Probability that first is red
P(B)= Probability that second is red
If second is red, there are 2 possible ways
Either first is red and second is red.
Or first is black and second is red.
So,
P(B)=
10
3
C
1
×
9
2
C
1
+
10
7
C
1
×
9
3
C
1
=
90
6
+
90
21
=
90
27
=
10
3
Probability that first is red, given second is red
P(A/B)=
P(B)
P(A∩B)
=
10
3
10
3
C
1
×
9
2
C
1
=
10
3
90
6
=
90
6
×
3
10
=
27
6
=
9
2
Related Questions
find the interval in which the function is negative.
f(x) = x^2 - 3x - 4
I. (- infinite, -1)
II. (-1, 4)
III. (4, infinite)
A. III only
B. II only
C. I, II
D. I, III
Answers
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
The length of a rectangle is 6 inches more than 4 times its width. A similar
rectangle has a length of 18 inches and a width of 4 inches. What is the area of the
first rectangle??
Answers
Answer:
18 × 4 is 72...
so.. the area of rectangle is 72inches²
Step-by-step explanation:
to find the area of rectangle is Lenght multiple with its Width
how to solve for x (proportions)
Answers
Answer:
16/3 or 5 1/3
Step-by-step explanation:
Cross Multiply
4×4
3×x
16=3x
Divide 3 from 16
x=16/3 or 5 1/3
A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?
Answers
Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid =
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline =
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense =
Brainlist please
The net rate of pay is $122 for the two hours journey.
The driver travels for 2 hours at 90 miles per hour.
Total distance travelled = 2 hours * 90 miles per hour = 180 miles
Money paid to driver = $0.70 per mile * 180 miles = $126
Fuel consumption = 30 miles per gallon, hence:
Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon
Total expense = $4 per gallon * 6 gallon = $24
Net rate of pay = $126 - $24 = $122
The net rate of pay is $122 for the two hours journey.
Find out more on equation at: https://brainly.com/question/2972832
The average 8- to 18-year-old spends____ per day on average in front of a screen doing very little to
no physical activity.
A. O hours
B 30 minutes
0. 1 hour
D 3 hours or more
Please select the best answer from the choices provided.
Answers
Answer:
3 hours or more
Step-by-step explanation:
why because of the games and entertainment
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?
Answers
Answer:
y > 3x - 4
Step-by-step explanation:
lmk if you want an explanation
Two fractions in the middle of 1/4 and 3/4
Answers
2/4 = 0.5 and 3/5 = 0.6 and both these numbers are in between 1/4 = 0.25 and 3/4 = 0.75
please help me asap, i suck at math tbh :)
ty!
Answers
y intercepts: (0,-6)
Answer:
Y intercept = (0,-6)
X intercept = (9,0)
Step-by-step explanation:
To find the y-intercept of an equation, let x = 0 and then solve for y
6(0) - 9y = 54 (6 times 0 gives us 0)
0 - 9y = 54 (subtract 9y from 0 gives you -9)
-9y = 54 (divide both sides by -9, the left side cancels out and the right side gives you -6)
y = -6 and x = 0
To find the x-intercept of the equation just let y = 0 and then solve for x
6x - 9(0) = 54 (9 times 0 gives us 0)
6x - 0 = 54 (subtract 0 from 6x gives us 6x)
6x = 54 (divide both sides by 6, left side cancels, right side gives 9)
x = 9 and y = 0
FURNITURE A modern table is constructed with four legs made
of concrete cubes with cube-shaped notches.
a. Define one or more variables and write an expression that
represents the volume of one table leg.
b. Marisol determined that she will use 12,636 cubic inches of
concrete to construct the four table legs. If the sides of the
notches are 40% of the sides of the legs, how long are the sides of the legs?
Answers
The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
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https://brainly.com/question/1972490
2. Name 3 points that are collinear*
2
s
S
R
O points T, Q, and R
O points T, Q, and S
O points S, Q, and R
Answers
Answer:
T, Q, and R
Step-by-step explanation:
These points are all on the same line, making them collinear.
I hope this helps!!
Will mark brainliest
Answers
Answer:
Quadrant 3 or aka Quadrant III
Step-by-step explanation:
The top right quadrant is the first quadrant. Aka Quardant 1
The top left quadrant is the second qudrant. Aka Quadrant 2
The bottom left quadrant is the third quadrant. Aka Quadrant 3
The bottom left quadrant is the fourth quadrtant. Aka Quadrant 4
The heart is located in the bottom left quadrant. Meaning, it is the third quadrant. Aka Quadrant 3
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Send me a message on it and I'll follow you right back
Q.
[tex] \frac{9}{6} + \frac{6}{9} = [/tex]
#use method
#good luck
Answers
Answer:
The answer is 13/6
Step-by-step explanation:
9/6 + 6/9
9/6 = 3/2
6/9 = 2/3
Now,
3/2 + 2/3
Cross Multiply
3 × 3 + 2 × 2/2 × 3
9 + 4/6 = 13/6
Thus, The answer is 13/6
-TheUnknownScientist 72
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] = \frac{9}{6} + \frac{6}{9} \\ = \frac{27 + 12}{18} \\ = \frac{39}{18} \\ = \frac{13}{6} [/tex]
help pls i don't know how to do it
Answers
Answer:
y=5x-8
Step-by-step explanation:
Slope=m=(7-3)/(3-2)
y=5x+b=>2=5*2+c=>c=-8
So y=5x-8
[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]
Graph: y = 3 * x + 5
Answers
Answer:
2
Step-by-step explanation:
take the 3 put on the side
PLEASE HELP I"LL GIVE BRAINLEST
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
46 multiplication problems
92 multiplication problems
69 multiplication problems
54 multiplication problems
Answers
Answer:
92 4× 23
Step-by-step explanation:
sorry if im incorrect
Answer:
Carl solves 69 multuplication problems
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answers
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after
that. Annalisa made 8 the first day and 12 each day after that.
Answers
Based on the amount being made by Manolo and Annalisa every day, the amount both made on the various days were:
Annalisa made 8 bags on Day 1Manolo had made 40 bags by Day 3Annalisa is said to have made 8 bags on the first day so this is the number of bags that should be put in the table for having been made in the first day.
Manolo made 16 bags on the first day and then 12 bags each day after that. The total number of bags made by the third day by Manolo would be:
= 16 + 12 + 12
= 40 bags
In conclusion, Annalisa made 8 bags on Day 1 and Manolo had made 40 bags on the 3rd day.
Find out more about this at https://brainly.com/question/11864663.
Which graph represents an function
Answers
but the function is any graph that is completely straight and goes through the center (0,0)
is h(x) = 6 a linear function and why
Answers
Answer:
yes, absolutely. specifically it's a horizontal line at 6.
simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0
Answers
Answer:
[tex]\boxed{\sf\: B)\:3^{12}}[/tex]
Step-by-step explanation:
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]
Apply exponent rule:
[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]Add the numbers:
[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]________________________________
100 points
Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?
Answers
Answer:
1/3 * 3 = 1 cup of milk
1/2 * 3 = the amount of water needed per cup of milk
1/2 * 3 = 3/2 or 1.5
The recipe calls for 1.5 cups of water per cup of milk.
Hope this helps!
The quantity of water in the liquid is 5/6 cups
How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cupsIf cups of milk = 1 2/3 cupsWater = Total cups of liquid - cups of milk
= 2 1/2 - 1 2/3
= 5/2 - 5/3
The least common denominator is 3× 2 = 6= (15-10) / 6
= 5/6 cups
Learn more about fraction:
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Solve for the x
[tex]\frac{36}{x}[/tex] = -9
Answers
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]
A coffee pot holds 6 quarts of coffee. How much is this in cups?
Answers
Answer:
24 cups
Step-by-step explanation:
1 quart = 4 cups
6x4= 24 cups
Answer:
24 cups.
Step-by-step explanation:
Each quart is equal to 4 cups. This means you have to do 6x4 to find the answer.
[tex] \sf2 + 63 - 36 - 2[/tex]
Here's some points ~
Answers
Bye hope this help!
To find the surface area, Brad splits the figure into two pieces, the rectangular prism and
the triangular prism.
He finds the total surface area of the rectangular prism by finding the area of each face
to get 1,104 cm
He then finds the total surface area of the triangular prism by finding the area of each
face to get 1,008 cm
Finally, he adds the surface areas together to get 2,112 cm.
Is Brad's solution correct? Why or why not?
Select the option that correctly answers both questions.
No, he did not find the correct total surface area for the triangular prism.
O No, he did not find the correct total surface area for the rectangular prism.
No, he needs to subtract the areas of the faces where the two prisms are
attached
Yes, he correctly found the sum of the surface areas for each prism.
Answers
The surface area of the figure is the amount of area covered by the figure.
The figure is not given, so I will give a general solution.
The method followed by Brad to calculate the surface area of the prism is correct.
However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.
So, the conclusion is that:
If Brad's calculation of the surface areas of the prisms is correct, then the surface area of the figure is correct because 1104 + 1008 = 2112.If otherwise, then the solution is incorrectRead more about surface areas at:
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Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answers
Answer:
95%
i think it should be that
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answers
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation:
Find the midpoint of PQ¯¯¯¯¯¯¯¯ with endpoints P(0, 2) and Q(6,−2). Then write an equation of the line that passes through the midpoint and is perpendicular to PQ¯¯¯¯¯¯¯¯ . This line is called the perpendicular bisector.
Answers
Answer:
The midpoint of PQ is (3,0) and the equation if the line perpendicular to PQ is y=3/2(x-3).
Step-by-step explanation:
To find the midpoint, find the average of the x and y values. (0+6)/2=3 and (-2+2)/2=0
In order to make a perpendicular line, we must find the slope first of the original line.
(y2-y1)/(x2-x1) is the formula for slope
(-2-2)/(6-0)= -4/6=-2/3
Now we know the slope which is all we need to start making the equation using the point slope form which is y-y1=m(x-x1) (let m be slope) and we use the midpoint (3,0) as our point. since it is perpendicular, we will take the slope and flip it as well as change the sign
y-0=3/2(x-3) or y=3/2(x-3)
if you'd like, you can distribute and put it in slope intercept form
y=3/2x+9/2
whats the rate of change
Answers
Which of the following shapes is convex?
М.
OA)
OB)
W
OC)
OD
Answers
Answer:
I think the correct answer is c hope this helps
