A) This event is a union. If a card is of the suit of clubs or a face card or both, then it belongs to the set of "cards with clubs or a face".
For the probability in question, we use the inclusion/exclusion principle:
P(club or face) = P(club) + P(face) - P(club and face)
That is, we add the probabilities of drawing a club and of drawing a face card, and subtract the probability of both conditions being met because, in a certain sense, we've double-counted the event of the card being both of clubs and a face. The sets "club" and "face" are not disjoint; there is overlap between them.
Then we have
P(club) = 13/52
P(face) = 12/52
P(club and face) = 3/52
so that
P(club or face) = 13/52 + 12/52 - 3/52 = 22/52 = 11/26
B) This event is an intersection. If a card is of the suit of clubs and a face card, then it belongs to both the set of clubs and the set of face cards.
We already found the probability of the intersection above:
P(club and face) = 3/52
C) If a given card is not a club and not a face card, this is the same as saying the card is neither a club nor a face card. In other words,
P(not club and not face) = P(not(club or face))
and this probability is complementary to the probability that a card is either a club or face, which is to say
P(not(club or face)) = 1 - P(club or face)
Using the result from part (A), we have
P(not club and not face) = 1 - 11/26 = (26 - 11)/26 = 15/26
Answer this please I really need help with this i can't do it
Answer:
A 6 km per hour
B 10 min.
Step-by-step explanation:
I just need to fill the 20 character limit
Math help because I forget
Answer:
R.I.P
Step-by-step explanation:
goodluck doing that
what am i suppost to do with the remainder when dividing fractions
How did the equation shift from the parent function? y = f(x - 4).
Answer:
x
=4
y=0 and x=4
x=
f
y
+4
Step-by-step explanation:
There are 380 female students in a class. Male students make up 60% of the class. What is the total number of students in the class
Answer:
Step-by-step explanation:
If the males make up 60% of the class then
The females make up 100 - 60 = 40% of the class.
Females = 40% * x where x = the class size.
380 = 40/100 * x
380*100 =38000
38000 = 40 x
38000/40 = x
x =950
1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40
Answer:
C) 4
Step-by-step explanation:
d = rt
plug in
t = 8, d = 32
32 = t(8)
Divide both sides by 8
4 = t
C) 4
Which conditional statement is always logically equivalent to the inverse?
Converse
Conditional
Conjecture
Contrapositive
Answer:
Converse
Step-by-step explanation:
Converse
Ghhhhhhhnbb tggy
If 40% of a number is 24, find 10% of that number.
Answer:
6
Step-by-step explanation:
is %
of 100
24 40
x 100
2400/40 equals 60
60 divided by 10 equals 6
Helpppp what is Log70
Answer:
Log 70
What is Log 70? - The value of Log 70 is 1.84509804001. The log base 10 of 70 is the base 10 logarithm of 70 which can be written as log10(70) or lg(70).
What is log10(70) - The logarithm base 10 of a number is its logarithm to the base of 10 where lg(70) = 1.84509804001.
Step-by-step explanation:
log10 70
Result 1.84509804001425
check the attached file pls it might be needed for you !!
Mark brilliant
What is a derivative.
A house on the market was valued at $478,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is
the current value of the house?
Answer:
$38240 increase$516240 current valueStep-by-step explanation:
Initial value of house is $478000
Change in value is 8% greater:
478000 + 8% = 478000 + 8*478000/100 = 478000 + 38240 =516240We need 8% of Value
[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]
[tex]\\ \sf\longmapsto 0.08(478000)[/tex]
[tex]\\ \sf\longmapsto 38240\$[/tex]
Current value:-
[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]
Solve with Indirect proof logic
1. A ) C
2. ~[~D•C]
3. E v A
4. ~ D /:. E
Answer:
i dont know
Step-by-step explanation:
please help what is #4?
To Prove:-
JK=IJ
JK= ½IK = IJ= ½IK
JK= IJ(Equal Distance)
GK//HI (Parallel)
Therefore, JK congruent IJ
Hope This Helps
Divide using the division algorithm 392,196 divided by 87
(No long division)
18. Write the equation of the following line in function notation
Answer:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Step-by-step explanation:
Slope:Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (-3, 1)
(x₂, y₂) = (1, -2)
Substitute these points into the formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]
m = -¾
Therefore, the slope of the given line is -¾.
Y-intercept:Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form, f(x) = mx + b:
f(x) = mx + b
-2 = -¾( 1 ) + b
-2 = -¾ + b
Add ¾ to both sides to solve for b:
-2 + ¾ = -¾ + ¾ + b
[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]
Equation of the Line in Function Notation:Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.
b. Find the cost of a small box of oranges and the cost of a large box of oranges
Answer:
x = 55 - 2y
y = 70 - 3x
x = 17
y = 19
Step-by-step explanation:
let x = small box
y = large box
6x + 12y = 330
12x + 4y = 280
6x + 12y = 330
6x = 330 -12y
6x/6 = (330-12y)/6
x = 55 - 2y
12x + 4y = 280
4y = 280 -12x
4y/4 = (280 -12x)/4
y = 70 - 3x
small box cost:
x = 55 - 2y
x = 55 - 2(70-3x)
x = 55 -140 + 6x
x - 6x = -85
-5x = -85
x = 17
large box
y = 70 - 3x
y = 70 - 3(17)
y = 70 - 51
y = 19
William Kamkwamba, the author of The Boy Who Harnessed the Wind, structured his memoir by first telling about the day the windmill he built first generated electricity, then by telling about the events that led him to build the windmill, and finally by telling about what happened to him after he built the windmill.
This is an example of which type of text structure?
Why does Kamkwamba begin with the day the windmill first generated electricity?
The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.
William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.
To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.
What is Text Structure?Text structure refers to the organization of writing to convey intended meanings.
The sequential text structure follows these processes:
It is a step-by-step account of the events in the story.It can be identified by words such as first, then, and finally.Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.
Learn more about text structure here:
https://brainly.com/question/12053427
A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100
Answer:
2 students study neither french or Spanish
I dont know what this is no links please
Answer:
Hamm i think si r or q mm sorry if it's wrong
Step-by-step explanation:
I think the answer would be q
1. Which is the counterexample to the following conjecture?
If a number is divisible by 3, it must also be divisile by 9.
18
21
27
O
54
15/32×16/27 The / stands for a fraction i would just like help please :)
Answer:
(24 × 3 × 5) / (25 × 33) =
((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =
(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =
(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =
(20 × 1 × 5)/(2 × 32) =
(1 × 1 × 5)/(2 × 32) =
5/(2 × 32) =
5/(2 × 9) =
5/18
How many 3/4s are in 2? Draw a tape diagram
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
What is the simplest form of
(2p + 1)(2p - 5)?
Answer:
4p^2-8p-5
Step-by-step explanation:
Answer:
4p^2-8p-5
Step-by-step explanation:
Hope this helps :)
Find the perimeter. Simplify your answer.
Answer:
30s-18
Step-by-step explanation:
(10s-8)+(10s-8)+(7s-1)+(3s-1)=?
Combine like terms.
2(10s-8)+(7s-1)+(3s-1)
Remove parentheses.
2(10s-8)+7s-1+3s-1
Collect like terms.
2(10s-8)+10s-1-1
Subtract.
2(10s-8)+10s-2
Factor out 2 from the expression.
2(10s-8+5s-1)
Collect like terms.
2(15s-8-1)
Subtract.
2(15s-9)
Factor out 3 from the expression.
2x3(5s-3)
Multiply.
6(5s-3)
Simplified=30s-18
Hope this helps :)
In the mystery number problem below, Rosa identified the missing number as 4. Is she correct? How can you check her answer?
(pls help) (pls no link i need to know its real and not a scam)
Answer:
Step-by-step explanation:
she is wrong the right answer is 15.98
The quotiont of a number and 12 - 3 = -4
i need to find the equation
Answer:
x ÷ (12 - 3) = -4
x = -36
Step-by-step explanation:
x ÷ (12 - 3) = -4
x = -4(12 - 3)
x = -48 + 12
x = -36
Another Way:
x ÷ (9) = -4
x = -36
-Chetan K
You can wash a car 1.5 times as fast as your friend. Working together, the two of you can wash 1 car in 6 minutes. How long does it take each of you to wash the car when working alone? Leave your answer as a fraction!
If the two of you can wash 1 car in 6 minutes:
It will take you 10 minutes to wash the car alone
take your friend 15 minutes to wash the car alone
Let the duration you can work be represented by y
Let the duration your friend can work be represented by x
You can wash a car 1.5 times as fast as your friend
That is, y = 1.5x
Working together, the two of you can wash 1 car in 6 minutes
This can be represented by the equation
[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]
Substitute x = 1.5y into the equation above
[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]
It will take you 10 minutes to wash the car alone
Substitute y = 10 into x = 1.5y
x = 1.5(10)
x = 15 minutes
It will take your friend 15 minutes to wash the car alone
Learn more here: https://brainly.com/question/25547756
What’s the answer, pls help me
Answer:
lower left
Step-by-step explanation:
v+3<=6.5
v<=3.5
-18 is less than 3.5
Step-by-step explanation:
It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is
[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect
The one below the first one is incorrect
It's correct since our equation is
[tex]-18+3\leq 6.5[/tex] which is correct
The top right one is correct because our equation is
[tex]18+3\leq 6.5[/tex] which is incorrect
The one below that is correct because our equation is
[tex]-18+3\geq 6.5[/tex] which is incorrect
what is 10/13 as a decimal rounded to the nearest hundredth
Answer:
.770
Step-by-step explanation:
a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring
Answer:
The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.
Answer:
1400 pounds
Step-by-step explanation:
the ring is now worth 60% of its original price
the percentage in decimal is equal: 60% = 0.6
[tex]\frac{840}{0.6} =1400[/tex]
Hope this helps
