We want to find the probability of randomly drawing 3 spades from a standard deck.
The probability of getting 3 spades is 0.0129
Let's see how to get that probability.
A standard deck has 52 cards, 13 of them are spades.
The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.
So for the first spade card, the probability is:
p = 13/52
For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:
q = 12/51
For the final card, there will be 11 spade cards and 50 cards in total, but we will have:
k = 11/50
The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:
P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129
The probability of getting 3 spades is 0.0129
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Find the y -intercept of the line with equation y=4x+6
Answer: The y-intercept of this equation is 6.
Explanation: When doing slope intercept form, the formula is y = mx + b. "M" is slope, and "B" is y-intercept. In this equation, 4 is the slope and 6 is the y-intercept.
help me asap!!!!!!!!
Answer:
the last option
Step-by-step explanation:
a line passes through the point of (4,2) and has a slope of -5/4
Answer:
y = -5/4x + 7
Step-by-step explanation:
y = -5/4x + b
2 = -5/4(4) + b
2 = -5 + b
7 = b
Help help please math math please
Answer:
n = 6
Step-by-step explanation:
6÷4 = 9÷n
6n = 9*4
6n = 36
n = 6
Determine the axis of symmetry of a parabola whose graph is given below. Give your answer in the form X equals H
Answer:
x = -3
Step-by-step explanation:
The axis of symmetry of a parabola, in the form of x = h is x = -3, where the value of h is -3.
A surface curve formed by the intersection of a cone and a plane parallel to a straight line is called as parabola.
An imaginary straight line that divides a shape into two identical halves is called as axis of symmetry.
In the given figure, the graph intersects the x-axis at x = -3.
So, the axis of symmetry of a parabola in the form of x is -3.
Thus, the value of h is -3.
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Stefan's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Stefan fills 24 equal sized jars with honey. He brings a total of 16 cups of honey to sell at the farmers' market.
Answer:
Have you ever wondered how a tiny little insect like a bee could ever fill a jar of honey? If it were just down to one bee it would be a mighty task but the work is shared by many thousands of bees and is a great example of what can be achieved by a co-ordinated effort. Think of it in terms of humans creating something like a pyramid.
A jar of honey weighs 454 grammes and a bee can carry about 0.04 grammes of nectar. But nectar is only about 40% sugar and honey needs to be about 80% sugar so the bee actually only carries about 0.02 grammes of honey on each trip.
Step-by-step explanation:
You have been asked to build a tree house with a floor that is twice as long as it is wide. You have only a certain amount of wood you can use. Which of these strategies would you be most likely to use while planning the tree
house?
A. Work backward.
B. Draw a diagram.
C. Find a pattern.
D. Act it out.
9514 1404 393
Answer:
B. Draw a diagram.
Step-by-step explanation:
Most construction starts with a diagram.
_____
Additional comment
You may actually start by finding a pattern you like, then figuring the material required to construct the pattern, then working backward to determine the dimensions you need to use to stay within your material budget. You will probably draw a diagram at many points in the planning process.
Solve for a side in right angles picture added
Answer:
AC=5
in a basic right triangle the small side is always one shorter than the big side which is always one smaller than the hypotenuse.
A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds
Answer: 75 ft
Step-by-step explanation:
45x10 = 450
450/6=75
Answer:
75 feet
Step-by-step explanation:
10 divided by six is 3/2, in 1 second, a penguin walks 3/2 feet. With this logic, in 45 seconds a penguin walks 75 feet since 45 times 3/2 is 75.
Select the simplification that accurately explains the following statement: \sqrt[4]{2}=2\frac{1}{4}
Because
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
You deposit 572.30 for an account that pays 4.5% interest how much interest you earn after six years
Answer:
$154.52
Step-by-step explanation:
First, you need to know the formula for this type of question.
The formula is I = Prt. These variables are: I = Interest, P = Principle investment, r = Rate, and t = Time.
So, your equation is I = 572.30(0.045)(6), where you have to find "I".
If you multiply 0.045 and 6, you get 0.27. Then, you multiply 0.27 and 572.30, which is 154.521.
The interest you earn will be $154.521. You can round the thousandths digit based on how you have been taught to do, but I will round the answer to 154.52.
Good luck!
If 6 spiders can spin 6 webs in 6 minutes how long will it take 100 spiders to spin 200 webs
Answer:
200 minutes
Step-by-step explanation:
if six spiders can spin 6 webs in 6 min then 100 spiders can spin 100 webs in 100 min then multipy by 2 and you get 200
The amount of time that 100 spiders can spin 200 webs will be 12 minutes.
What is Algebra?Algebra is the study of graphic formulas, while logic is the manipulation of those signs.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
If 6 spiders can spin 6 webs in 6 minutes. Then the 1 spider can sin one web in six minutes. So, the 100 spiders can spin 100 webs in 6 minutes.
Then the 100 spiders can spin 200 webs in 12 minutes.
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Essay buys 3 apples, 5 bananas, and 7 peaches from a market. What is the ration of bananas to total fruit in simplest form?
Answer:
5:15 or 1:3
Step-by-step explanation:
Answer:
1 : 3
Step-by-step explanation:
Number of bananas = 5
Total fruits = 15 (3 + 5 + 7)
Ratio = 5 : 15
Simplified form = 1 : 3
-2,-6,-18,-54....n equals 11
What is the Geometric series!
Formula:Sn=a1(1-r^n) over(1-r)
PLEASE ANSWER I WILL GIVE U BRANLIEST ANSWER if correct¡!!¡
9514 1404 393
Answer:
-177146
Step-by-step explanation:
The given formula is useful. The first term is a1 = -2. The common ratio is r = -6/-2 = 3. For n = 11 terms, the sum is ...
S11 = -2(1 -3^11)/(1 -3) = -2(-177146/-2) = -177146
The sum of 11 terms of the series is -177146.
Jennifer babysat for 5 hours and earned
$52.50. What is her hourly rate of pay?
Answer:
$10.50
Step-by-step explanation:
Answer:
$10.50
Step-by-step explanation:
Just do 52.50 divided by 5 to find the amount she is paid per hour, and that’s 10.5. Meaning she gets paid $10.50 per hour.
without using a calculator or mathematical table sove 187²-87²
m
+ 4 = 7
Step One:
Step Two:
Step Three:
Step Four:
ma9
m/3+4+4+7+4
m/3-7
m=21
m/3+4-47-4
m/3*3+4=743
m/3-3
ma17
m/3+4-3=7-3
m/3*3=3*3
m/3+7=4
m=3
m/3+8=11
m/314-4=7
m+4=21
Answer:
9
Step-by-step explanation:
1. m/3+4-4=7-4
2. m/3=3
3. m/3*3 = 3*3
4. m=9
Answer:
m=9
Step-by-step explanation:
m/3+4-4=7-4
m/3=3
m/3*3=3*3
m=9
fay has a lemonade stand. She spends £25 on ingredients. She sells each glass of lemonade for £1.50. If she sells 40 glasses of lemonade, what is her total profit?
solve pls brainliest
if A=(-2,-4) and B=(-8, 4) what is the length of AB?
the length of AB is 10 cm..........
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Length of AB is equal to :
[tex]10 \: \: units[/tex]Refer to the attachment for solution ~
Prove that the difference between 9th square number and 5th square number is a multiple of 8?
Answer:
Step-by-step explanation:
9th square number = 81
5th square number=25
81-25=56
56 is a multiple of 8 as 8 x 7=56
y-3(2y-7)=76 quick and with steps
Answer:
y = -11.
Step-by-step explanation:
Y-3(2y-7)=76
Y-6y+21=76
-5y+21=76
-5y=55
y=-11.
Answer:
Step-by-step explanation:
⇔y-6y+21=76⇔-5y+21=76⇔-5y = 76 -21⇔-5y=55 ⇔y= 55:(-5) ⇔y= -11There are 18 students in sir Sam 4th PE class. Each student will be given 2 1/2 minutes to explain how to solve his word problem with fractions. How long it will take for all 18 students to explain their answers? (Show solutions)
Answer:
44
Step-by-step explanation:
18 * 2.5 = 44
. . .Factor 2x2 + x - 1
Answer:
(2−1)(+1)
Step-by-step explanation:
22+−12x^{2}+{\color{#c92786}{x}}-12x2+x−122+2−−1
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132. Which equation can you use to find the amount, v, Festive Features normally charges for a vest?
Algebraic equations are equations that have coefficients and unknown variables in them.
The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132
The current cost per vest was v - $6
Where v = Initial cost of the vest
The total cost of 12 vests after price reduction was:
$132.
Hence, our equation is given as:
$132 = 12(v - $6)
12(v - 6) = 132
$132 = 12v - 72
Add 72 to both sides
$132 + 72 = 12V
204 = 12v
v = 204/12
v = $17
Thus: The amount v, Festive Features normally charges for a vest is $17
Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132
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Okay very important question.
When your doing pemdas , will you get a different answer then just calculating the problem on a calculator.
For example,
11x10-12 divided by 3
Calculated is 106
What’s the answer using pemdas?
Answer: It depends on how you put it in the calculator
Step-by-step explanation:
11x10=110
110-12=98
93/3 = 32.66
Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
If a player bets $2 on the $5 denomination, find the player's expectation. (Round your answer to two decimal places.)
Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44
Player's bet number = $5 Bet amount = $2 Winning = $2 × $5 = $10Probability that wheel stops on $5:
Probability = required outcome / Total possible outcomesP(stops on $5) = 7/54 =
Hence, probability of not winning = 1 - 7/54 = 47/54
X :____ - 2 _____ 10
P(X) : _ 47/54 ___ 7/54
Expectation or Expected value :
E(X) = (-2 × 7/54) + (10 × 47/54)
E(X) = $8.44
Therefore, the player's expectation is $8.44
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How would I show my work for this?
Answer:
4x4 = 16 √16=4
Step-by-step explanation:
Answer:
sqrt (16)
= sqrt (4×4)
= 4
Step-by-step explanation:
brainliest plz
Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey?
Answer:
$30
Step-by-step explanation:
20%=6
5x20%=100%
so
5x6=30
Hope this helps! Thanks.
Find the area of this rectangle.
Write your answers in simplest form.
Answer:
7 1/7 square mm
Step-by-step explanation:
Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.