Explanation:
In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 9.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the nines, 4 cards, but we need to subtract 1 to account for the double counting of the 9 of diamonds.
In all we get:
13+4 - 1/52 =
≈ 16/52
=4/13
Answer: 0.3077
Probabilities are used to determine how likely an event is, to happen. The probability of drawing a 9 or diamond is: 4/13
In a standard deck of cards, we have:
[tex]n = 52[/tex] --- There are 52 cards in total
[tex]n(9) = 4[/tex] ---- Cards with number 9 are 4
[tex]n(Diamond) =13[/tex] ---- there are 13 diamonds
[tex]n(9\ n\ Diamond) = 1[/tex] ---- Diamond cards with number 9
The probability of drawing a 9 or diamond is:
[tex]P(9\ or\ Diamond) = P(9) + P(Diamond) - P(9\ n\ Diamond)[/tex]
So, we have:
[tex]P(9\ or\ Diamond) = \frac{n(9)}{n} + \frac{P(Diamond)}{n} - \frac{n(9\ n\ Diamond)}{n}[/tex]
This gives:
[tex]P(9\ or\ Diamond) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]
Take LCM
[tex]P(9\ or\ Diamond) = \frac{4+13-1}{52}[/tex]
[tex]P(9\ or\ Diamond) = \frac{16}{52}[/tex]
Simplify
[tex]P(9\ or\ Diamond) = \frac{4}{13}[/tex]
Hence, the probability of drawing a 9 or diamond is: 4/13
Read more about probabilities at:
https://brainly.com/question/24297863
NEED HELP ASAP, WILL GIVE BRAINLIEST
Which rectangular equation represents the parametric equations x = 2sec(t) + 1 and y = 6tan(t)?
Answer:
A.)
Step-by-step explanation:
literally guessed but was right lol
Option first is correct.
What is rectangular equation?A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.
According to the given question
We have
x = 2sec(t) + 1 and y = 6tan(t)
Now the above expressions can be written as :
x -1 = 2sec(t)
⇒ [tex]sec(t)\frac{x-1}{2}[/tex]
similarly,
[tex]\frac{y}{6} = tan(t)[/tex]
From trigonometric identities we know that
[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]
Substitute the value of tant and sect in the above identity
[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]
⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.
Hence, option first is correct.
Learn more about rectangular equation here:
https://brainly.com/question/12718642
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the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?
Answer:
5x - North American Butterflies.
3x - South American Butterflies.
5x = 30 (Divide By 5).
x = 6.
3x = 18.
3x - South American Butterflies.
2x - European Butterflies.
2x = 2 * 6 = 12
There Are 12 European Butterflies And 18 South American Butterflies.
Step-by-step explanation:
the answer is yes or no ?
Answer:
No!!
Step-by-step explanation:
For every 1 pound it costs $2⁵⁰
For every 2 pounds it costs $5⁰⁰
For every 3 pounds it costs $7⁵⁰
and so on going by 2.50 each pound.
EXPERTS OR ACES PLEASE ANSWER THIS FAST DUE IN 2 MIN 50 POINTS
Answer:
24 blocks
Step-by-step explanation:
b = 2(9) + 6b = 18 + 6b = 24There are 96 crayons in a box. Janice takes 9 crayons. How many are left?
Answer:
87
Step-by-step explanation:
Answer:
87 crayons
Step-by-step explanation:
96-9=87
a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the pyramid
Answer:
Volume=1/3×Area of base×Height
=1/3×16×3
=16m square
Step-by-step explanation:
Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change?
A) 335
B) 93%
C) 75%
D) 20%
Answer:
D. because I did it
Step-by-step explanation:
got it right.
Answer:
20%
Step-by-step explanation:
well if the class would increase 35+35 it would be 50 % so its supposed to be a smaller percentage
I NEED HELP ,PLAESE AYUDAAAAA POR FAVOR
Answer:
Step-by-step explanation:
First off, if side BC and side EC are congruent, then this is an isosceles triangle. It then goes to follow by the Isosceles Triangle Theorem that angle EBC is also 67 degrees. By the Triangle Angle-Sum Theorem then, angle BCE is 180 - 67 - 67 which is 46 degrees. Angle BCE is supplementary to angle FCA which means they add up to equal 180, so angle FCA is 180 - 46 = 134.
Angle FCA = 134
PLEASE ANSWER !!!!!!!!!!!
Answer:
1 1/16
explanation:
its 1/16 of a pound because its half a serving and a serving is 1/8 of a pound
Help me with this question! Will mark brainliest
Answer:
D) y = 7x + 1
Step-by-step explanation:
Slope-incercept form is y = mx + b in which m = slope and b = y-incercept
The line crosses through (0,1), which means the y-intercept is 1
Plug the given numbers into that formula:
y = 7x + 1
What property is 4x + 40 - 40 = 16 - 40
Answer:
Step-by-step explanation:
or,4x + 40 - 40 (subtract and the answer will be o ; no valueit will get )= 16-40
or, 4x = 16-40
therefore, 4x = 16-40
now,
we can also do,
or, 4x= 16-40
or, 4x= -14
i think it will be helpful, plz mark as brainlist plz..
In circle D, ∠EDH ≅ ∠EDG.
Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.
What is the length of JG?
4 units
5 units
6 units
9 units
Answer:
5 units
Step-by-step explanation:
The computation of the Length of DG is as follows;
Given that
∠EDH ≅ ∠EDG,
EH = 9,
EJ = 4.
Based on the above information, as we can see that the two sides i.e. corresponding are congruent
EH = EG (CPCTC)
EG = 9.........(i)
Now
EG = EJ + JG
EG = 4 + JG ........(ii)
Now after solving this
JG = 5 units
Hence, the second option is correct
Answer:
5
Step-by-step explanation:
i got it right
Kris can run 200 meters in 25 seconds at this rate how many meters can he run in 80 seconds?
Answer:
640
Step-by-step explanation:
200 divided by 25 = 8
which means Kris can run 8 meters per second. 8 times 80 equals 640.
The answers at the bottom are $17.67
$12.22
$15.19
$16.19 in case you can’t see it .
9514 1404 393
Answer:
$15.19
Step-by-step explanation:
Medicare tax is 1.45%; state tax is 1.5%. Together, these are ...
1.45% +1.5% = 2.95%
of Wallace's salary.
That amount is ...
0.0295 · $515 = $15.19
Answer:
$15.19
Step-by-step explanation:
just cuz
What is the range of the function f(x)=2x−4 when the domain is {-3, 0, 4}?
I found: Domain: all real x ; Range: all real y
-3(x+2)
-------------------------------------------------------------------------------------------------------------------------------
Answer:
-3x-6
Step-by-step explanation:
distribute the -3
Answer:
-3x-6
Step-by-step explanation:
Enter the coordinates of the vertices of (r(270°,O) ∘ T⟨1, −2⟩)(QRST).
Answer:
where bro i will let you know in the comments section
(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)
plz solve this question
Answer:
(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)
plz solve this question
Step-by-step explanation:
3 is the ans
What is the solution set for the inequality
Answer:
A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.
Hi! whats 6666666 × 727272772
Answer: 4.8484847e+15
Step-by-step explanation:
Answer:
6666666 × 727272772 = 4,848,484,661,818,152
help me answer this geometry question please!! will give brainliest and 5 stars!!
please help me answer this question!! will give brainliest and 5 star rating!!
Help i need help on this question plis
Which of the following graphs contain the vertex and point below?
vertex (-2, 4), point (2, 84)
a) y = 5(x - 2)2 + 4
c) y = 5(x + 2)2 + 4
b) y = 84(x + 2)2 - 4
d) y = 2(x - 2)2 + 4
what's b ? plz help
58 i think
58*2+64=180
A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.
Answer:
y=3x-1
Step-by-step explanation:
explain algebraic equations please
Answer:
: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
Step-by-step explanation:
includeing zero
add as brainleist plz
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
Car A travels 170 miles in 4 hours. car B travels 306 miles in 4 hours. car C travels 550 miles in 11 hours. Which car has the fastest average speed?
Answer:
car b
Step-by-step explanation:
car a: 170/4=17.5 mph
car b: 306/4=76.5 mph
car c: 550/11=50 mph
I need help please!!!!
Write the explicit formula for the sequence shown below
3, -3, -9, -15
Answer:
[tex]a_{n}[/tex] = 9 - 6n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = - 6 , thus
[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n