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
If 3x + 6 = 21, what does x + 2x plus 2 equal?
Answer:
x+2x+2=17
Step-by-step explanation:
I'm assuming that's what you're asking, so here is the answer explanation.
3x+6=21
3x=15
Hence, x=5
Apply x=5 to x+2x=2
5+10+2
=17
hoy guys bilangin nyo to pag mali sagot nyo report ko!!
there is 114 in there
(ig?)
heres the table and graph
Answer: distance 1min = 10in
In 1 minute the snail travels 10 inches
In 2 minute the snail travels 20 inches
In 3 minute the snail travels 30 inches
In 4 minute the snail travels 40 inches
In 5 minute the snail travels 50 inches
y=10x
About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering students, how many will probably need a refresher mathematics course?
I need a answer asap
Approximate 23 by following the steps below.
V23 must lie between the whole numbers
and
You must answer all questions above in order to submit.
Answer:
4 and 5
Step-by-step explanation:
Well, 23 is less than 25, which is 5^2. Moreover, its more than 16, or 4^2
Which capital letters have one or more lines of symmetry?
A) X
B) Z
C) H
D) C
Answer:
h has 4 lines x has 2 z has 3 c has none
Step-by-step explanation:
Help me plsssssssssssssssssss
Answer:
2 meters = 2000 millimeters
How do I solve this?
Answer:
Step-by-step explanation:
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
A listing of observed values and the corresponding frequency of occurrence of each value is called a
Answer: frequency
Step-by-step explanation:
if angle a is 10 degrees and angle b is 35 degrees what is angle AEB?
Answer:
135
Step-by-step explanation:
sum of interior angles of a triangle is 180
so
180-35-10
135
solve pls brainliest
Answer:
c
Step-by-step explanation:
I need help please brainliest to correct answer
NO BOTSSSS PLEASEEEE
Also if you want fr33 p0!ints go answer my last question
Why are various creative works split up into different types under copyright law?
Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
What kinds of artists benefit the most from creative commons licenses? Explain your answer.
Why is it useful for students to practice the MLA and APA citation methods?
What kinds of art works can be considered remixes or mashups? Explain your answer.
Answer:
1. The nature of creative work is that it can take almost any form, so the scope of the copyright law was drafted in such a way to take that into account. The categories that works can potentially be protected in are so wide that it’s difficult to imagine what types of creative work are not protected.
2.Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
3.The Benefits of Using a Creative Commons License Numerous high-profile authors (including futurist Cory Doctorow), artists, musicians (such as the rock band Nine Inch Nails), and even government agencies and entities (including the White House) use Creative Commons licenses. You’ll find many more case studies on the Creative Commons site.
Step-by-step explanation:
Answer:
What kinds of artists benefit the most from creative commons licenses? Explain your answer.
Every license helps creators, they are called licensors if they use our tools retain copyright while allowing others to copy, distribute, and make some uses of their work at least non-commercially. Every Creative Commons license also ensures licensors get the credit for their work they deserve.
Where is f(x)=g(x)? Justify your answer algebraically.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x
The solution to the given expression is -15/4
Equations are expressions separated by an equal sign.
Given the expression 17 = -13 -8x
Add 13 to both sides
17 + 13 = -13 - 8x + 13
30 = -8x
Swap sides
-8x = 30
Divide both sides by -8
-8x/-8 = -30/8
x = -30/8
x = -15/4
Hence the solution to the given expression is -15/4
Learn more here: https://brainly.com/question/2159099
The product of 6 and the sum of a number and 3 is 60
Answer:
8(x+3) is the answer
Step-by-step explanation:
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The product of 6 and the sum of a number and 3 is 60.
Let the number be 'x'. Then the equation is written as,
6(x + 3) = 60
Simplify the equation, then the value of the variable 'x' will be calculated as,
6(x + 3) = 60
x + 3 = 60 / 6
x + 3 = 10
x = 10 - 3
x = 3
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
A fabric store is having a sale. Fleece fabric has an original price of $18 per yard. It is on sale for 30% off the original price. Find the sale price of the fleece fabric.
I seriously needed answers since I'm running out of time
Answer:the answer is 5.4
Step-by-step explanation:
thats the answer because it says per means to multiply so i'd multipled 18x 30%
How to solve quadratic inequalities.
Answer:
Find the "=0" points
in between the "=0" points, are intervals that are either
greater than zero (>0), or
less than zero (<0)
then pick a test value to find out which it is (>0 or <0)
PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answer:
no graph how am i supposed to answer
Step-by-step explanation:
DUDE PUT THE GRAPH WHERE IS iT
Do all direct proportional graphs need to start from the origin?
Answer:
Direct proportional graphs do not need to start from the origin.
Step-by-step explanation:
Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.
Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).
As a proof, the attached screenshot shows the graph of three equations of direct variations. The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.
There are six cookies and four friends want to share them how much will it be
Answer:
1.5 each friend
Step-by-step explanation:
6 divided by 4 = 1.5
11. In right triangle CAT,
angle. If CA = 6 and CT = 8, find AT.
Answer:
AT=5.29 or 2√7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
CAT means ∡ A is 90°
so CA is one of the leg (a) and AT the other leg (b)
CT is the (c)
6²+b²=8²
b²=64-36
b=√28
=5.29
What is the suface area of a rectangular prism that measures 2cm × 5cm × 8cm?
Answer: 132 hope that helps
Step-by-step explanation
Fastest way to do it A=2(wl+hl+hw)=2·(5·2+8·2+8·5)=132
Answer:
132 [tex]cm^{2}[/tex]
Step-by-step explanation:
A rectangular prism has 6 sides in total. We need to find the area of each side and add the areas together to find the total surface area.
Each side has an opposite that's parallel and on the opposite side of the prism, so there are 3 different sides whose areas are to be multiplied by 2.
First: let this side be SIDE A: 5 x 8 = 40 [tex]cm^{2}[/tex]
Second, let this side be SIDE B: 8 x 2 = 16 [tex]cm^{2}[/tex]
And thirdly, let this side be SIDE C: 2 x 5 = 10 [tex]cm^{2}[/tex]
These are the areas of 3 of the the sides of the prism. The other 3 are identical.
Now to find the Total SA, we add all of them together,
SA = 2 x (SIDE A) + 2 x (SIDE B) + 2 x (SIDE C).
= (2 x 40) + (2 x 16) + (2 x 10)
= 80 + 32 + 20
SA = 132 [tex]cm^{2}[/tex]
What is 2 3/4 + 1 4/5 as a mixed number
Find the slope of the line given the following point on the line:
(-1,-9) and (-5,1) with
Answer:
The slope with these points can only by (-2.5) or (-8/3)
Step-by-step explanation:
#20 i
Find the coordinates of the midpoint of the line segment with the endpoints R(-5, -7) and
S(2, -4)
Answer:
First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.
Step-by-step explanation:
3. Write three ratios equal to 4/36
[tex]{\Huge{\boxed{\mathbb{QUESTION}}}[/tex]
Write three ratios equal to [tex]\frac{4}{36}[/tex]
[tex]{\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}[/tex]
This ratio can be represented as [tex]4:36[/tex]
_______________________________
[tex]{\Huge{\boxed{\mathbb{THE\:RATIOS}}}[/tex]
_______________________________
[tex]1:9[/tex] [tex]2:18[/tex] [tex]3:27[/tex]_______________________________
[tex]{\huge{\boxed{\mathbb{TERMS}}}[/tex]
Equivalent/Equal ratios - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.
35 is 25% of what percent
Answer:
140
Step-by-step explanation:
35 ÷25%
35 ÷ 25/100
140
ok I am a little confused here but I think I may know what your asking.
What is 25% of 35? or you could be asking 35 is 25% of what number?
I'll answer both just in case.
What is 25% of 35?: 35 ÷ 4 = 8.75%
35 is 25% of what number?: 35 x 4 = 140
i need help! ill give brainliest
Answer:
They are both correct
Step-by-step explanation:
Both options mean the same thing and will give the same answer
What is the value of x ?
Answer:
12
Step-by-step explanation:
short way 6✓2 . ✓2 it is the 45 degree formula
Answer:
12
Step-by-step explanation:
The figure is an equilateral righ triangle - or if you prefer, it's half a square.
As a triangle: x is the ipotenuse, pythagorean theorem
[tex]x^2 = (6\sqrt2)^2 + (6\sqrt2)^2\\x^2 = 72+72 = 144 \rightarrow x = 12[/tex]
As half a square: diagonal is [tex]\sqrt2[/tex] times the side
x= [tex](\sqrt2) (6\sqrt2) = 2\times6 = 12[/tex]