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
Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60 detergent and 40% water in a 5 gallon buckets. To make this he combined some 80/20 mixture with some pure water in each 5 gallon bucket. How much gallons of pure water does Manny add to each 5 gallon bucket.
Answer:
1.67 gallons
Step-by-step explanation:
Given that:
Original mixture contains 80% detergent and 20% water in a 15 gallon bucket.
New Mixture to contain 60% detergent and 40% water of 5 gallon bucket.
To find:
Volume of Pure water to be added to each 5 gallon bucket to obtain the new mixture.
Solution:
First of all, let us calculate the answer by adding pure water to 15 gallon bucket.
Let the number of gallon of water to be added = [tex]x[/tex]
New volume = (15+[tex]x[/tex]) gallons
Now, let us compare the number of gallons of water in the mixture before and after.
[tex]15\times 20\% + x = (15+x)\times 40\%\\\Rightarrow (3+x)\times 5 = (15+x)\times 2\\\Rightarrow 15+5x=30+2x\\\Rightarrow 3x=15\\\Rightarrow x =5\ gallons[/tex]
Therefore, to a 15 gallon bucket (80% detergent and 20% water)of detergent mixture, if we add 5 gallons of pure water , it will become 60% detergent and 40% water.
To a 5 gallon bucket, the number of gallons of water to be added = [tex]\frac{5}{3} =\bold{1.67\ gallons}[/tex]
I’ll give brainliest
Answer:
I don't know nothing about this lol...
Step-by-step explanation:
What is 60% of 40, show your work?
Answer:
24
Step-by-step explanation:
40×60%=240 240÷100= 24%
Find the area of the square rug if its side is (6x + 1) feet.
The area of the square rug is ( )
Area of a square:
A= side^2
= (6x + 1) ^2
= 36x^2 + 12x + 1 feet^2
Which of the following is a function, Please i need this its due in 15 min
A= {(1, 4) (2, 5) (3, 6) (4, 7)}
B={(-3, 4) (-1, 6) (2, 4) (5, 5)}
C={(-1, 2) (3, 5) (-1, 4) (7, 12)}
D={(1, 5) (4, 5) (5, 5) (8, 5)}
Answer:
A.
Step-by-step explanation:
its A because I did this test
Plsss someone answer it fasttt
what day in june will jessica be working at both locations
Answer:
Not enought information
Step-by-step explanation:
Maybe put a picture?
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Answer:
y = 25x + 50
Step-by-step explanation:
I need help please!!!!
The orange spinner is spun and then the aqua spinner is spun. What is the probability that the numbers will add to 4 or less?
50%
25%
3/8
7/16
Answer:
25%
Step-by-step explanation:
Hopefully this is correct!
660 divided by 15 is the same as?
Answer:
44
Step-by-step explanation:
Just divide 660 by 15 to get 44.
What is the equation
Answer:
x=15
Step-by-step explanation:
6+9=15
so x=15
NEED HELP ASAP PLEASE HELP!!!!
Answer:
d
Step-by-step explanation:
9% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answer:
9/100.
Step-by-step explanation:
9% is equal to about 9/100. 9/100 is the simplest form.
If you answer properly i will make you brainliest.
Answer:
2C + 5F > 175
Step-by-step explanation:
C = croissant F = french bread
You make $2 for each C, $5 for each F.
Since you don't know the actual numbers, you would use the variable C and F for later.
Added together, it must be greater than $175, so use the > sign.
Answer:
2.00C + 5.00F > 175
Step-by-step explanation:
PLS ANSWER ASAP!! WILL MARK BRAINLIEST! 35 POINTS!
Answer:
Step-by-step explanation:
c) corresponding angles postulate
Las dimensiones de un prisma rectangular son x + 5 para la longitud, x + 9 para el ancho yx para la altura. ¿Cuál es el volumen del prisma? Ingrese su respuesta como un polinomio en forma estándar.
Answer:
Step-by-step explanation:
The total area of the prism: A = 2 [3h² + 21h + 24]
The volume of the prism: V = h³ + 11h² + 24h
The area of a rectangular prism is calculated by knowing the sides of the rectangular base (a and b) and its height (h)
A = 2 (ab + ah + bh)
The volume of a rectangular prism is calculated as the product of its dimensions:
V = a * b * h
b- a = 5 ⇒b = 5 + a
The actual Mount Rushmore carving was made from a scale model with a scale of 1 inch = 1 foot. On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long. What is the length of Teddy Roosevelt's mustache on the monument?
Answer:
1 foot by 8 inches
Step-by-step explanation:
tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity
your proving is in photo
Amandas dog eats 7 1/2 pounds of dog food in 2 weeks how much does amanda's dog eat each day?
Answer:
.53 pounds of dog food each day
Step-by-step explanation:
i divided 7 1/2 pounds by 14 days and i got 0.53571428571
How does drawing the line of best fit help you understand exponential growth?
Answer:
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. A regression involving multiple related variables can produce a curved line in some cases
Step-by-step explanation:
The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference
B....................
Answer:
b. Arithmetic .
Step-by-step explanation:
b because to get the next term you add 8.
B
E
A
C
If the length of AC equals 50, what is the length of the midsegment DE?
If the length of AC equals 50, the length of the midsegment DE is 25.
What is the y-coordinate of point W?
PLS ASAP
============================================================
Explanation:
Draw a horizontal line from W to the y axis. You should arrive somewhere between -1 and -2. While this isn't exact, it looks like we should arrive right at the middle of -1 and -2; therefore we should get to -1.5
The y coordinate of W is -1.5
Keep in mind this is based on the assumption we reach the halfway point. Unfortunately, W is not on any horizontal grid lines to be able to determine exactly where W is along the y axis.
Please help me thanks please
What is the area of square UVWX?
Area= ... square units
Answer:
16
Step-by-step explanation:
4*4=16
Answer:
let's take the side XW
x =( -4, -4)
w = (-4,-8)
x1= -4 & x2 = -4
y1 = -4 & y2 = -8
using formula
[tex]d = \sqrt{ (x2 -x1) ^{2} + (y1 - y2) ^{2} } \\ = \sqrt[ ]{ (- 4 - ( - 4)) + ( - 4 - ( - 8))} \\ = \sqrt{0 + 4 } \\ = \sqrt{4} = 2sq.unit \: \\ now \: area \: of \: square \: = {side}^{2} \\ so \: = \: {2}^{2} = 4square \: unit \: [/tex]
here we end :P
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z = -400i - 44.5
What is the imaginary part of z?
Answer:
-400i
General Formulas and Concepts:
Algebra II
Complex Form: a + biStep-by-step explanation:
Step 1: Define
z = -400i - 44.5
Step 2: Identify
Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i
Leo can run a mile in 7.45 minutes. At that rate, how long would it take for him to run a marathon (we let a marathon equal 26.2 miles)?
multi subs AND THIS AND THAT AND THIS AND THAT
Answer:
195.19 min
Step-by-step explanation:
7.45 x 26.2 = 195.19
Select all of the correct solutions for the following equation
52
2y = 18
a
o ad oo
(5,3)
(4,1)
(3,3)
c
None of the above
Answer:
Your answer is (4,1).
Step-by-step explanation:
5x - 2y = 18
5(4) - 2(1) = 18
20 - 2 = 18
18 = 18 (Which means it's correct)
Let me know if you need anymore help!
Ahhff DF nfkemebebwjdbbdnsjwjxjdnddf
Answer:
0 is the surface of the sea
Step-by-step explanation:
Here, we want to know what zero represents
From the question, we are told that jumping 5 ft below the sea surface represents the depth
-5 ft is same as going 5 units below zero
So therefore, we can have zero representing the sea level
The zero in this case is the surface of the sea
Answer:
B. the surface of the sea
Step-by-step explanation:
have nice day