In a standard deck of 52 playing cards, 13 cards are clubs, and 3 of the clubs are "face" cards (K, Q, J). What is the probability of drawing one card that is:
A) A club or a face card? Is this event a union or an intersection?
B) A club and a face card? Is this event a union or an intersection?
C) Not a club and not a face card?
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
Suppose the area of a triangle is 36 square inches. The height of the triangle is 12 inches. What is the length of the base of the triangle? PLSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEE
Answer: The base is going to be 6 inches.
Step-by-step explanation:
So to find the area of a triangle we need to know the formula which is A= 1/2bh (A= one half times base times height) So, all we need to do is multiply the area by 2
32*2=72 Then to find the missing length, we divided the area by 12 which is 6.
Evaluate the expression below.
5^{0}5
0
The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.
You are solving 5 – 8/3
=y/3
. Which equation will you get if you multiply both sides by 3?
Answer:
y=0.76
Step-by-step explanation:
5-8/3 = 3y
(5-8/3) x 3 = 3y x 3
6.9=9y
9y=6.9
y=6.9/9
y=0.76
Graph the equation.
what are the values of each variable
Answer:
Step-by-step explanation:
euler formula find the number of edges of a polyhedron of 6 faces and 4 verticies
Euler's polyhedron formula, V − E + F = 2
[tex] = 4 - E + 6 = 2 \\ = E - 10 = 2 \\ = E = 2 + 10 \\ = E = 12[/tex]Select all the options that have the same value as 3 1/2% of 20
Answer:
0.7, 7/10
Step-by-step explanation:
3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.
A rectangular prism is 7.1 millimeters long and 10 millimeters high. Its volume is 213.0 cubic millimeters . What is the width of the rectangular prism?
Answer:
5 milimeters
Step-by-step explanation:
If you have one quarter, nine pennies, six dimes, and one nickle, how much money would you have?
Answer:
99 cents
Step-by-step explanation:
one quarter=25 cents
nine pennies= 9 cents
six dimes= 60 cents
one nickle= 5 cents
25+9+60+5=85+14=99
Answer:
99 cents
Step-by-step explanation:
quarter = 25 cents
pennie = 1 cent
dime = 10 cents
nickle = 5 cents
1 quarter = 25 cents
9 pennies = 9 cents
6 dimes = 60 cents
1 nickle = 5 cents
25 + 9 + 60 + 5 = 99 cents
What is the vertex and p-value of this parabola?
Answer:
vertex: (-7, 5)p = 2Step-by-step explanation:
The vertex is halfway between the focus and the directrix:
((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates
The value of p is the distance from the focus to the vertex:
7 -5 = 2 = p
In vertex form, the equation of the parabola is ...
y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)
y = 1/8(x +7)^2 +5
PLEASE HELP ME OUT!!!
Convert the following
0.005 kg = _____ dag
0.075 m = ______ cm
Answer: 0.5 dag and 7.5 cm
Step-by-step explanation:
1 Decagram (dag) =10^-2 kg
We can change this into a conversion factor by dividing either side into the other. Since we want to change Kg into dag, I'll divide both sides by 10^-2kg:
1 Decagram (dag)/10^-2 kg = 1
Now we can multiply this times 0.005 kg:
(0.005 kg)*(1 Decagram (dag)/10^-2 kg)
this equals 0.5 dag
------------
100 cm = 1 meter
(100 cm/1 meter): Conversion factor
(0.075 m)*((100 cm/1 meter) = 7.5 cm
How to multiply mixed fractions with same denominators.
Answer:
multiply the numerators; express that product over the product of the denominators
Step-by-step explanation:
Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.
[tex]\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]
The numerator of the product is the product of the numerators.
The denominator of the product is the product of the denominators.
Please translate each algebraic expression to English phrase
1. x - 8
2. 13 + 2y
3. 4 ( x+ 5)
4. 7x
5. m + 6
What is the slope of the line?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-3, 4) and (1, -3)
x changes by +4 (from -3 to 1)
y changes by -7 (from 4 to -3)
the slope is therefore -7/+4 = -7/4
use the long division method to divide 120÷24
Step-by-step explanation:
120÷24
0 24⟌120
0 24⟌120 0
0 24⟌120 -0 1
00 24⟌120 -0 12
0 24⟌120 -0 12
00 24⟌120 -0 12 - 0 12
00 24⟌120 -0 12 - 0 120
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
can anyone help me with this?
Find the missing angle measure.
Answer:
116
Step-by-step explanation:
Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:
180*(6-2) = 720 now to find x we need to find the sum of given angles first:
144 + 163 + 50 + 131 + 126 x = 720
614 + x = 720 subtract 614 from both sides
x = 116
❤️WILL REPORT BOTS❤️
Describe function transformations KT8
What kind of transformation converts the graph of
f(x) = 3x - 9
into the graph
of g(x) =-3x - 9?
Answer:
The answer is reflection on the y-axis
Step-by-step explanation:
Reflection on the x-axis will change the y-intercept
Horizontal shrink will change the slope but not to the point of making the 3 negative
Horizontal stretch is the same concept
Thus Reflection on the y-axis on the y-axisis the answer
Hope this helps!
9i⋅(−4−7i) Your answer should be a complex number in the form a+bi where a and b are real numbers.
Answer:
see below
Step-by-step explanation:
here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63
Describe if the function is linear, exponential, or neither. Explain how you can tell
help me please!!!!!!!!!!!
Answer:
I did mostly everything for you bestiieee on the pictureee :3
Step-by-step explanation:
hope this helped :3
:3 byeeeeeeeeeee
which of the following is not a true dilation?
A. The image and preimage have congruent angles
B. The image and preimage have proportional sides
C. The image and preimage are congruent
D. The image and preimage are similar
Answer:
umm i think it is B.
Step-by-step explanation:
find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm
Answer:
1 cm
Step-by-step explanation:
Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.
Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.
Step-by-step explanation:
had this question
Pls help will give 10 pts
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Step-by-step explanation:
yeah-ya,.................. right?
A curve has the equation y = x^3 – 3x + 2
Find the coordinates of the two turning points. Please help ❤️
Answer:
PLEASE MARK ME BRAINLIEST!!!
Step-by-step explanation:
moddedcraftxdepic
02/28/2021
Mathematics
High School
answered
Y= x^3 + 8x^2 +5x
work out the coordinates of the two turning points 1
Jon ate 1/3 of a bag of candies and Monica ate 1/4 of the bag. What fraction of the bag of candies did they eat?
Answer:
13 AND 14
Step-by-step explanation:
THERE IS NO PICTURE OR ANY ANSWERS
Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,
Answer:
Y-intercept: -3
Equation: y = -2/3x -3
Step-by-step explanation:
Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept
Substitute m with -2/3, your equation should now be y = -2/3x + b
To find the y-intercept, plug in the point (-12,5) and solve for b.
1. 5 = -2/3(-12) + b
2. 5 = 8 + b
3. b = 8 - 5
4. b = 3