Given:
A card is selected randomly from a standard deck of 52 cards.
To find:
The probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Solution:
In a standard deck of 52 cards.
Total number of cards = 52
13 cards of each suit (heart, diamond, club, spade).
13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
a. We need to find the probability of getting a king of heart.
Number of king of heart = 1
[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]
[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]
b. We need to find the probability of getting a queen of spades.
Number of queen of spades = 1
[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]
[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]
c. We need to find the probability of getting an ace of flower (spades).
Number of ace of flower = 1
[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]
d. We need to find the probability of getting an ace of diamond.
Number of ace of diamond = 1
[tex]P(\text{an ace of diamond})=\dfrac{\text{Number of ace of diamond}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of diamond})=\dfrac{1}{52}[/tex]
Therefore, the required probabilities for each parts are:
(a) [tex]\dfrac{1}{52}[/tex]
(b) [tex]\dfrac{1}{52}[/tex]
(c) [tex]\dfrac{1}{52}[/tex]
(d) [tex]\dfrac{1}{52}[/tex]
The probabilities for each of the given selections are;
A) 1/52
B) 1/52
C) 1/52
D) 1/52
What is the Probability?A) Since total number of cards in the deck is 52 and there is only one king of heart, then;
Probability of selecting a king of heart = 1/52
B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;
Probability of selecting a queen of spade = 1/52
C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;
Probability of selecting an ace flower = 1/52
D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;
Probability of selecting am ace of diamond = 1/52
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3x + 50 = 5x - 2
Find x
Answer:
50=2x-2
52=2x
26=x
hope this helps
have a good day :)
Step-by-step explanation:
Two consecutive numbers with a sum of 775. What is the value of each of the two numbers?
Answer:
387 and 388
Step-by-step explanation:
775 / 2 = 387.5
387 and 388
A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?
There is no sufficient evidence at the 0.05 level to substantiate the publisher's claim
How to determine the substantial claim?The parameters for the claim is more than 47% of their readers own a personal computer0.05 level of significanceNote that the significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant
In conclusion, the advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%
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Find the volume of the cone. Round your answer to the nearest tenth.
Answer:
261.79
Step-by-step explanation:
V= 1/3 N r2 h
A 15 m pole is leaning against a wall. The foot of the pole is 10 m from the wall. Find the angle the pole makes with the ground.
Answer:
∅ ≈ 48.2º
Step-by-step explanation:
cos∅ = adj/hyp = 10/15 = 2/3
Therefor
∅ = arccos 2/3
use calculator
∅ = 48.189685104221402
∅ ≈ 48.2º
Four students are in the final rounds of a chess tournament. Based on their chess rankings, Gloria is twice as likely as Devon to win. Devon is twice as likely as Janet to win. Janet is just as likely as Harry to win. Create a table of fractional probabilities of winning for the four-person sample space.
need pointz
Step-by-step explanation:
Is Y =- 2 vertical or horizontal?
y = − 2 is a horizontal line that crosses the -axis at -2.
Now, According to the question:
Let's know:
What is Horizontal lines?
If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.
The given equation is Y = -2
y = 2 is a horizontal line that crosses the -axis at 2.
=> y = − 2 is a horizontal line that crosses the -axis at -2.
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Find the surface area of this rectangle prism L=6 H=6 W=4
Answer:
168
Step-by-step explanation:
Surface area= 2(WL+HL+HW)
2×(4×6+6×6+6×4)
=168
What is the answer of 7 to the power of 2?
The answer to 7 to the power of 2 is 49.
This is because when a number is raised to a power, it means that it is multiplied by itself that number of times. 7 to the power of 2 is 7 multiplied by itself 2 times, which is 7 x 7, which equals 49.
An expression known as "power" denotes the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.
As an illustration, the power 63 demonstrates how three times the number 6 is multiplied.
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Rectangle A is similar to rectangle B by scale factor r. The length of rectangle A is 1. 5r+2. 25 units. The length of rectangle B is 3 unite. What is the scale factor
The scale factor of the two rectangles is 1.5
Describe the rectangle.According to Euclidean Plane Geometry, a rectangle is a quadrilateral with equal opposed sides and four right angles. In other words, a rectangle is a parallelogram with a right angle of 90 degrees or an equiangular quadrilateral (i.e., 360°/4 = 90°). A rectangle is referred to as a square if its four sides are all the same length.
The ratio of the matching side lengths of two comparable figures is known as the scale factor. We know that the ratio of the respective side lengths of the two rectangles equals equivalent to r since Rectangle A and Rectangle B are similar to one another by the scale factor r.
We can set up the following ratio to determine the scale factor if the lengths of rectangles A and B are 1.5r+2.25 units and 3 units, respectively.
(1.5r+2.25) / 3 = r
Solving for r, we get:
r = (1.5r + 2.25) / 3
multiply both sides of the equation by 3
3r = 1.5r + 2.25
Subtract 1.5r from both sides
1.5r = 2.25
divide both sides by 1.5
r = 2.25/1.5
r = 1.5
Therefore, the scale factor of the two rectangles is 1.5.
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slove and I will give you a best anwser thing
Answer:
Below:
Step-by-step explanation:
When finding the power of a power, simplify the expression by multiplying the exponents
[tex]a^{m^n} =m^m^n[/tex]
12^4^-5 = [tex]12^{4*-5[/tex][tex]=12^-20=\frac{1}{12^{20}}[/tex]
[tex](-3)^{72}[/tex]
Each root of x^2 - bx + c = 0 is decreased by 2. The resulting equation is x^2 - 2x + 1 = 0, then
(a) b= 6 , c = 9 (b) b = 3 , c = 5
(c) b=2 , c = -1 (d) b = -4 , c = 3
When the root of x²-bx+c = 0 is decreased by 2, the resulting equation is x²-2x+1, then b = 2 and c = 1
What is root of quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
if the roots of a quadratic equation ax²+bx+c = 0 are alpha and beta
alpha + beta = -b/a and
alpha × beta = c/a
when the roots are reduced by 2
alpha-2+ beta-2 = -b/a
(alpha+beta)-4 = -b/a
alpha+ Bata = -b/a + 4
the resulting equation is x²-2x+1 = 0
a = 1, b = -2 and c = 1
therefore alpha +beta = -b/a = -(-2)/1 = 2
therefore 2 = -b/a+4
a = 1
2 = -b+4
b = 4-2 = 2
alpha×beta = c/a = 1/1
(alpha -2)× ( beta -2) = (alpha)( beta) -2(alpha+beta) + 4 = 1-2(2)+4 = 1
therefore b = 2 , c = 1
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I will give u brainliest if u can help me plz
Answer:
a. Volume 120km^2
Surface area 168km^2
Step-by-step explanation:
11,778 divide 26
Show work pls
Answer:
453
Step-by-step explanation:
To perform long division of 11,778 by 26, we follow these steps:
452
_____
26 ) 11,778
-104
------
157
156
----
21
Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.
Hope this helps <3
Please give me Brainliest :)
1203 convert binary into decimal
Answer:
decimal: 10010110011
Step-by-step explanation:
|a-5|, if a>5
Please help me
Answer:
answer is just a-5
Step-by-step explanation:
its is a-5 without absolute value
See image for question. Please show workings.
Answer:
14.3 yearsStep-by-step explanation:
The average age of 18 girls is 12.
Total age of girls:
18*12 = 216The average age of 15 boys is 17
Total age of boys:
15*17 = 255Total age of children:
216 + 255 = 471Total number of children:
18 + 15 = 33Average age of children:
471 / 33 = 14.3 (rounded)300 g of an unknown radioactive substance decays to 112 g after 180 seconds. What is the half-life of this substance?
ight now that the noobs are gone, any late nigh peeps still awake?
Is (-1, 0) a solution to this inequality?
Answer:
False
Step-by-step explanation:
y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.
0 < -2(-1) - 2
0 < 2-2
0 < 0
This is a false statement.
Answer: A / No.
Step-by-step explanation:
We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.
Given:
y < -2x - 2
Substitue:
0 < -2(-1) - 2
Multiply:
0 < 2 - 2
Subtract:
0 < 0 ✗
0 is not less than 0, so this point is not a solution.
In triangle JKL, tan(bº) = 3/4
and sin(bº) = 3/5. If triangle JKL is dilated by a scale factor of 3, what is cos(bº)?
bº
If triangle JKL is dilated by a scale factor of 3,cos(bº)=4/5.
Define trigonometric ratio.Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Why trigonometric identities are used?If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.
tan(b)=P/B=3/4
sin(b)=P/H=3/5
cos(b)=B/H= To find
B=4, H=5
cos(b)=4/5
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Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.
The explicit formula of the sequence is aₙ = -10 + 8n
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
The first term and the common difference
These values of the first term and the common difference are given as
First term = -2
Common difference = 8
The interpretation of the above sequence is that the 8 is added to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ + 8
When represented explicitly, we have
aₙ = a + (n - 1) * d
Where
a = -2 and d = 8
Substitute the known values in the above equation, so, we have the following representation
aₙ = -2 + (n - 1) * 8
Evaluate the products
aₙ = -2 + 8n - 8
Evaluate the like terms
aₙ = -10 + 8n
Hence, the explicit formula is aₙ = -10 + 8n
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anna bought 20 christmas raffle tickets in her school. Her school sold 1500 tickets in all. What is the probability of the winning chances of anna?
The probability of Anna winning chances of buying 20 ticket out of 1500 tickets is 0.013.
What is probability?Probability simply means possibility. It deals with how likely something is to happen.
Therefore,
p(A) = number of favorable outcomes to A / total number of outcome
Hence,
Number of ticket bought by Anna = 20
Total ticket sold = 1500
Therefore,
probability of the winning chances of Anna = 20 / 1500
probability of the winning chances of Anna = 2 / 150
probability of the winning chances of Anna = 1 / 75
probability of the winning chances of Anna = 0.013
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Share $60S in the ratio 4:5:7:
Answer:
15:18.75:26.25
Step-by-step explanation:
4:5:7
Total=16
60/16 = 3.75
4 x 3.75 = 15
5 x 3.75 = 18.75
7 x 3.75 = 26.25
15:18.75:26.25
Answer: $15 : $18.75 : $26.25
Step-by-step explanation:
4 + 5 + 7 = 16
4/16 × $60 = $15
5/16 × $60 = $18.75
7/16 × $60 = $26.25
7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?
Answer:
The difference in costs including tax between the two nights is $53
Step-by-step explanation:
To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):
$299.00 * 0.06 = $17.94
So the total cost of the room on Monday including tax is:
$299.00 + $17.94 = $316.94
Next we find the cost of the hotel suite on Friday including tax:
$349.00 * 0.06 = $20.94
So the total cost of the room on Friday including tax is:
$349.00 + $20.94 = $369.94
Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:
$369.94 - $316.94 = $53
The difference in costs including tax between the two nights is $53.
Answer:
The difference in costs including tax between the two nights is $53--------------------------------
The cost x including a 6% tax is:
x + 6% =x + 0.06x = 1.06xThe difference in costs including tax is:
349*1.06 - 299*1.06 = (349 - 299)*1.06 = 50*1.06 = 53if pam makes 250 dollars from making 15 pots, what is her piece rate?
Pam's piece rate is $16.67 for every pot she produces.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Pam's piece rate is the amount of money she earns for each pot she makes. In this case, she earned $250 for making 15 pots, so her piece rate is:
$250 ÷ 15 pots = $16.67 per pot
Therefore, Pam earns $16.67 for each pot she makes. This is a way of calculating her pay based on the number of units she produces, rather than by the hour.
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can someone solve this for me using pemdas
Answer:
24
Step-by-step explanation:
(25-10) ÷ 5 × 8
15 ÷ 5 × 8
3 × 8
24
Answer:
24
Step-by-step explanation:
Any work inside parentheses must be done first: (5^2 - 10). Also:
Exponentiation is done before addition/subtraction: 5^2 - 10 = 25 - 10 = 15
So now we have 15 / 5 * 2^3 and recognize exponentiation again:
15 / 5 * 8
Then, since multiplication and division have the same order of priority,
carry out the division in 15/5 and then multiply the result (3) by 8
to obtain 24 (final answer)
The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.
Answer:
1/2
Step-by-step explanation:
You are comparing ponies to sheep, so you put the ponies on top(3)
and the sheep on the bottom(6)
3/6 reduces to 1/2
How long is the stage?
Answer:
44 div by 4 = 11
the answer is 11
Step-by-step explanation:
Find the measure of angle A. Round your answer to the nearest whole number
Answer:
∠ A ≈ 53°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{9}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ([tex]\frac{12}{9}[/tex] ) ≈ 53° ( to the nearest whole number )
I need help on finding x , please someone help!?
Answer:
30 degrees - its been a minute since I done that type of math