Answer:
9
Step-by-step explanation:
Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the second card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
Please help me ASAP. !
Step-by-step explanation:
distance must positive
so, 25-12
=13
URGENT PLEASE HELP
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)
Answer:
kj gfbdhngfbd
Step-by-step explanation:
Find the horizontal [A] and vertical [B] components of the given vector. Round to four places.
Answer:
The equation of the horizontal component is:[tex]v_x=v\:cos\:\theta \:[/tex]
[tex]=-10.7294[/tex]
The vertical component will be:[tex]v_y=v\:sin\:\theta \:\:[/tex]
[tex]=-16.5218[/tex]
Step-by-step explanation:
Let 'v' be the vector
The equation of the horizontal component is:
[tex]v_x=v\:cos\:\theta \:[/tex]
The equation of the vertical component is:
[tex]v_y=v\:sin\:\theta \:\:[/tex]
The magnitude of a vector 'v' is expressed as 'v'.As
Magnitude = v = 19.7Ф = 237°The horizontal component will be:
[tex]v_x=v\:cos\:\theta \:[/tex]
[tex]=\left(19.7\right)\cos \left(237^{\circ \:}\right)[/tex]
[tex]=-10.7294[/tex]
The vertical component will be:
[tex]v_y=v\:sin\:\theta \:\:[/tex]
[tex]=19.7\sin \:\left(237^{\circ \:\:}\right)[/tex]
[tex]=-16.5218[/tex]
What is the charge for 400 text messages? A. $50 B. $ 180 C. $90 D.$100
Answer:80 cent
Step-by-step explanation:
Edwin's dog eats 1/3 of a pound of food each day. Edwin has a bag containing 2 1/3 pounds of dog food. How many days will the bag feed Edwin's dog?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7 days
Step-by-step explanation:
show work and ill credit
Answer:
4 ≥ g
Step-by-step explanation:
Since 4 x 5=20 I started there and went one less because of the .95¢
so I started with the equation 4.95 x 4 which got the product $19.80 and I know that's as high as we can go within 20.
We also know she could play less than 4 games and stay within budget so that's why I used the ≥. You could also divide 20 by 4.95 for a quick and easy answer :)
Help!!
The Wonder Wings Insect Museum sells bug-shaped notebooks in their gift shop. Last month, they sold 35 butterfly notebooks and 55 ladybug notebooks. The notebooks were so popular that they want to order more this month. They plan to order 110 ladybug notebooks this month. If they keep the same ratio, how many butterfly notebooks should they order this month?
Answer:
70
Step-by-step explanation:
The number of butterfly notebooks should they order this month approximately will be 43.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The Miracle Wings Bug Exhibition hall sells bug-formed scratch pads in their gift shop. Last month, they sold 35 butterfly notepads and 55 ladybug journals.
The ratio of butterfly notebooks and ladybug notebooks will be given as,
⇒ 35 / 55
⇒ 7 / 11
The scratch pad was well known to the point that they believe should arrange more this month. They intend to arrange 110 ladybug notepads this month.
Let 'x' be the number of butterfly notebooks. Then the number of ladybug notebooks will be (110 - x).
If they keep the same ratio. Then the value of 'x' is given as,
x / (110 - x) = 7 / 11
11x = 770 - 7x
18x = 770
x = 42.77
The number of butterfly notebooks should they order this month approximately will be 43.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Find the least number that when divided by
60. 120 and 180 leaves a remainder 5 in each case.
Answer:
Solution :-
To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.
L.C.M. of 6, 5 and 18
6 = 2*3
15 = 3*5
18 = 2*3*3
L.C.M. of 6, 15 and 18 = 2*3*3*5 = 90
Now,
5 + 90 = 95
Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.
Let us check our answer.
1) 95/6
Quotient = 15
Remainder = 5
2) 95/15
Quotient = 6
Remainder = 5
3) 95/18
Quotient = 5
Remainder = 5
So, the required number is 95.
Answer.
Step-by-step explanation:
Please help with this as soon as you can. Really need help and no idea how to do it.
Answer:
DE, BC, BA, CA
Step-by-step explanation:
basically just find the ones that do not cross and those are parellel.
Solve for a.
5a2=980
Enter your answers in the boxes.
A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee
Answer:
1.3245
Step-by-step explanation:
Please help me no one answers my last few questions
#6
Answer:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x-2\\g(x) = -x^2+5x+12[/tex]
To find: [tex][f(x)]^2-g(x)[/tex]
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
[tex][f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4[/tex]
Now subtracting g(x) from [f(x)]^2
[tex][f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12[/tex]
Combining alike terms
[tex][f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Hence,
Subtracting g(x) from the square of f(x) gives us:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Which linear inequality is represented by the graph?
2x + 4
+ 3
y = 2 x + 3
y: 2x + 3
Answer:
C
Step-by-step explanation:
Please help me with this I think is a yes or no question i will give you all my points please help????
Answer:
YES i think
Step-by-step explanation:
Answer:
5. Yes 6. No 7. No 8. Yes 9. No 10. No
For graphs, if two points are in the same vertical line, its not a function. For the bubble chart, if an x coordinate points to more than one y coordinate, its not a function, and for just some written out coordinates, if any of the x coordinates repeat, its not a function
Which number is the least?
0 7.8
O 7.9
O 7.87
O 7.78
Answer:
7.78
Step-by-step explanation:
Answer:
O 7.78
Step-by-step explanation:
Have a wonderful day:)
A florist sells a dozen long-stemmed red roses for $54.99. In honor of their 16th wedding anniversary, a man wants to buy 20 roses for his wife. (Hint: How many roses are in one dozen?)
Let c represent the cost of 20 roses. Write a proportion, in terms of c, that can be used to solve for the cost of 20 roses.
What will the roses cost (in dollars)?
Answer:
20 roses cost $91.65
Step-by-step explanation:
Given
1 dozen rose = $54.99
Required
Determine the cost of 20 roses
To calculate the proportion, we make use of:
[tex]c = kx[/tex]
Where
c = cost
k = constant of proportionality
x = number of roses
For a dozen rose
[tex]c = 54.99[/tex] and [tex]x = 12[/tex]
So:
[tex]c = kx[/tex]
[tex]54.99 = k * 12[/tex]
[tex]54.99 = 12k[/tex]
[tex]k = \frac{54.99}{12}[/tex]
[tex]k = 4.5825[/tex]
For 20 roses
[tex]c = kx[/tex]
Where
[tex]k = 4.5825[/tex]
[tex]x = 20[/tex]
[tex]c = 4.5825 * 20[/tex]
[tex]c = 91.65[/tex]
Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic
Answer:
No, this is not a function because this would not pass the vertical line test in which only one y point can be on one x axis not two. As you can see, on (0,3) and (0,(-2)) are on the same x axis. So, not a function.
write an equation for which 0 is a solution
Answer:
x-y=0
Hope this helped
find the greatest common factor of 26 and 14
Johnny has 12 action figures and wants to choose
5 of them to arrange on his desk. How many
possible arrangements can he create?
Answer:
2
Step-by-step explanation:
helllppp meee please
Answer:
2, 3, 6, 7
Step-by-step explanation:
What are the subsets of the set {2, 5}?
a. {2}, {5}, {2,5}
b. { }, {2}, {5}, {2,5}
c. {0,2,5}
d. ∅, {5}, {2,5}
Answer:
the answer is b.........
Help find the missing lengths round to nearest tenth
Answer:
33.4
Step-by-step explanation:
tanα = [tex]\frac{opp}{adj}[/tex]→[tex]tan 50^{o} = \frac{x}{28}[/tex]
x = 28 tan 50° = 33.4
Answer:
The value of missing x = 33.37 units
Step-by-step explanation:
Given
Ф = 50°
We know that
tan Ф = opposite/adjacent
Here:
opposite = x
adjacent = 28
so
tan Ф = opposite/adjacent
tan 50 = x/28
x = 28 × tan 50
=33.37
Therefore, the value of missing x = 33.37 units.
A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your answers to three decimal places) ____ in/sec ____ RPM What is the angular speed in radians/sec? ____ radians/sec
9514 1404 393
Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
I NEED HELP WITH THIS PICTURE IS PROVIDED
Solve for m.
-7m + -2 = -72
m =
Answer:
m=10
Step-by-step explanation:
add 2 on both sides then divide both sides by -7
Answer:
10
Step-by-step explanation:
-7m-2=-72
-7m-2+2=-72+2
-7m=-70
-7m/-7=-70/-7
m=10
FOR EDG!! It is not 2,3, & 5!!
Which data collections show bias? Check all that apply.
1) An English teacher polls the top-ten most avid readers to find their favorite books.
2) An insurance company polls drivers of sports cars to find their average number of tickets.
3.) A restaurant manager surveys every tenth customer for one week.
4.) An assistant principal surveys each student who is sent for discipline.
5.) A fundraiser organizer draws five names from a hat that contains all entries.
Answer:
An assistant principal surveys each student who is sent for discipline
Answer: ITS A.), B.) and D.).
10 decreased by twice a
Answer:
in simplest terms 10 decreased by twice A can be written as
10-2a
Step-by-step explanation:
Solve for x and verify:3(x+3)-2(x-1)=5(x-5)
Answer:
x=9
Step-by-step explanation:
Distribute:
3x+9-2x+2=5x-25
Combine like terms:
x+11=5x-25
Solve:
x-x+11=5x-x-25
11=4x-25
11+25=4x-25+25
36=4x
Divide by 9:
x=9.
Hope this helps :D
Answer:
x = 9
Step-by-step explanation:
Step 1: Solve both sides by distributing the values.
3x+9-2x+2 = 5x-25
Step 2: Put the like terms together.
3x-2x-5x = -25-9-2
-4x = -36
Step 3: Divide both sides by -4 to get the value of x.
[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-36}{-4}[/tex]
x = 9
Let's verify the answer.
3x+9-2x+2 = 5x-25
3(9)+9-2(9)+2 = 5(9)-25
27+9-18+2=45-25
20 = 20