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Work Shown:
There are 13 diamond cards. The probability of getting a diamond card is 13/52 = 1/4.
Assuming the first card is not replaced, the probability of getting another diamond card is 12/51. Note how I subtracted 1 from the numerator and denominator of 13/52 to get 12/51.
Multiply the two fractions to get
(1/4)*(12/51) = 12/204 = 1/17
The probability of getting two diamonds in a row is 1/17
We'll use this later, so let A = 1/17.
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There are 4 kings. The probability of pulling out a king is 4/52 = 1/13
The probability of pulling out another king is 3/51 = 1/17
The probability of pulling out two kings in a row is (1/13)*(1/17) = 1/221
Let B = 1/221
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Add the values of A and B
A+B = 1/17 + 1/221
A+B = 13/221 + 1/221
A+B = (13+1)/221
A+B = 14/221
A+B = 0.0633 which is approximate
That converts to 6.33% when you move the decimal point over 2 spots to the right.
We have that the probability that both are diamonds or both are kings.
P(D+K)=32\%
From the question we are told
Two cards are drawn from the pack of 52 cards. Find the probability that both are diamonds or both are kings.
Generally the equation for the both are diamonds or both are kings is mathematically given as
[tex]P(D+K)=\frac{d}{52}+ \frac{k}{52}[/tex]
Therefore
[tex]P(D+K)=\frac{13}{52}+ \frac{4}{52}\\\\P(D+K)=0.32[/tex]
P(D+K)=32\%
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can anyone explain what is ratio? plzz
Answer:
a ratio indicates how many times one number contains another.
Step-by-step explanation:
What is the answer?
(-x^4 + 13x^5 + 6x^3) + ( 6x^3 + 5x^5 + 7x^4)
Answer:
−x 4 +18x+ 5 +12x 3 +7x 4
Step-by-step explanation:
hope this helps
Maria is starting a small business selling flowers. She has to pay $150 for a vendor’s permit. Each bouquet cost her $7 and she sells them for $15. How many bouquets must Maria sell to break even?
Answer:
18.75
Step-by-step explanation:
might not be 100% right
What is the midpoint of (-9,5) and (21,-7)
Answer:6,-1
Step-by-step explanation:
Answer:
(-9,5) (21,-7)
[tex](\frac{-9+21}{2};\frac{5-7}{2})=(\frac{12}{2} ;\frac{-2}{2})=(6,-1)[/tex] this is the midpoint
-8W + 5 = -43
I need help asap
Complete the table of the given rule
X. Y
6
0
4
Answer:
10, 4, 8
Step-by-step explanation:
This equation here is shown in the form of [tex]y = x-4[/tex]. However, we are solving for x when we know y. I find it easier to convert the equation so we have [tex]x = ...[/tex]. To do this we can add 4 to both sides.
[tex]y + 4 = x, x = y+4[/tex].
Now that we know our equation ([tex]x = y+4[/tex]), we can substitute the values of y inside to find x.
[tex]x = 6+4\\\\x = 10[/tex]
[tex]x = 0+4\\\\x = 4[/tex]
[tex]x = 4+4\\\\x = 8[/tex]
Hope this helped!
What is the rate of change of the function represented by the table?
x
y
1
5
2
5
3
5
4
5
Answer:
0
Step-by-step explanation:
All the y-values are the same (5). There is no change.
The rate of change is zero.
Answer:
Most Likely -2.5. For Edge A.
Step-by-step explanation:
Take -3.5 and -1 and subtract. The answer should give you -2.5. Correct me if I'm wrong cause I need help like the rest of yall lolz.
2 square root of 3 (square root of 2 plus square root of 3 )
Answer:
√3+√2 = 3.15
Step-by-step explanation:
because you can't square root those two so it will be a decimal
Find the additive inverse of each number.
15
Answer:
-15
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
This because the additive inverse is the opposite number. If you where to use a number line, you would have the same amount of spaces from zero as 15. that is an additive inverse.
A chicken farmer also has cows for a total of 30 animals, and the animals have 66 legs in all. How many chickens does the farmer have?
Answer:
27 chickens
Step-by-step explanation:
A chicken farmer also has cows for a total of 30 animals
Both animals have a total of 66 legs
Let a represent the number of chicken
Let b represent the number of cows
a + b= 30........equation 1
Since a chicken has only two legs and a cow has four leg then, the expression can be represented as
2a + 4b= 66........equation 2
From equation 1
a + b= 30
a = 30-b
Substitute 30-b for a in equation 2
2a + 4b= 66
2(30-b) + 4b= 66
60 - 2b + 4b= 66
60 + 2b= 66
2b= 66-60
2b= 6
b= 6/2
b= 3
Substitute 3 for b in equation 1
a + b = 30
a + 3=30
a= 30-3
a= 27
Hence the farmer has 27 chickens
What the perimeter is of the shape
Answer:
22 Units
Step-by-step explanation:
A chicken farm ideally produces 100,000 eggs per day. But this total can vary by as many as 45,000 eggs. What is the maximum and minimum expected production at the farm?
Answer: The maximum is 145000 and the minimum is 55,000 eggs
Step-by-step explanation:
The disorder of the sun is approximately 1,392,000,000 meters. What is this length expressed in scientific notation?
Answer:
Step-by-step explanation:
Please mark Brainy because I showed you all the steps so you can do it in the future! :)
What construction does the image below demonstrate? (1 point)
Answer:
The answer is "A regular hexagon inscribed in a circle" I also took the practice exam and got it right.
Oops I keep on commenting the answers instead of adding it in as an answer lol.
1) Moving a figure around a fixed point in the plane is called making a _ _ _
Answer:
isometry
Step-by-step explanation:
PLEASE HELP EXPRESSIONS!!!! 15 points
Answer:
C) [tex]-14w+12[/tex]
Step-by-step explanation:
[tex]10-7w-13-7w+15[/tex]
Group the similar terms together:
[tex]-7w-7w+10-13+15[/tex]
Add/Subtract the w:
[tex]-14w+10-13+15[/tex]
Add/Subtract the numbers:
[tex]-14w+12[/tex]
Sofia's gym membership is $275 per year in addition to an annual locker fee of $95. What is the monthly fee? *
Answer:
384 is your answer.
Let f(x) = x2 and g(x) = x - 6. What is fog?
I am not sure if your question is saying f(x) is x² or if it is 2x so I am giving you two answers.
If f(x) is x² the answer for f(g(x))= (x-6)²
If f(x) is 2x the answer for f(g(x))=2x-12
How did I get these answers? For fog, it basically means f(g(x)) so you just plug in what g(x) equals for the variable x in f(x)
Which expression repersents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours?
Answer:
9b+10s
Step-by-step explanation:
Answer:
9b+10s
Step-by-step explanation: taking quiz right now
1. Which equation results in this table of values?
Input (x)
1
3
5
10
Output (y)
3
7
11
21
O A. Output = Input + 2
O B. Output = 2 · Input + 2
O C. Output = 2 · Input +1
OD. 2. Input
Output + 1
Answer:
A,is the write answer .......
-20 = -4x - 6x
I need help solving it
Answer:
the answer is 2
Step-by-step explanation:
add -4x and -6x and the answer is -10x bc they are both negative x. then divide both -10x and -20 by -10 so that it is x by itself on one side and 2 on the other so its 2=x :)
evaluate the expression if x =6 and y =7. 3x+2y
The value of the expression 3x + 2y when x =6 and y =7 is 32.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
As per the given expression, 3x + 2y
Put x = 6 and y = 7 as,
3(6) + 2(7) = 18 + 14 = 32
Hence "The value of the expression 3x + 2y when x =6 and y =7 is 32".
To learn more about expression,
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A computer has a list price of $1,200. It is on sale for 30% off list. What is
the sale price of the computer?
) )
A $840
B $800
C) $720
D $360
Answer:
a 840$
Step-by-step explanation:
bcuz
marked price = $1200
discount % = 30%
selling price = ?
so,
SP = MP - D% of MP
= $1200 - 30% × 1200
= $1200 - 360
= $840
12x + 7 <-11 OR 5x– 8 > 40
Answer:
take 7 from both sides of the inequality which gives 12x <-18
divide both sides by 12 and u get x=-3/2
hi! can someone help me how to write the following in standard form. thank you :)
3 x 10^9
3 x 10^6
3 x 10^3
3 x 10^0
3 x 10^(-3)
3 x 10^(-6)
Which statement is true about a translation? 1. A translation takes a line to a parallel line or itself. 2. A translation takes a line to a perpendicular line. 3. A translation requires a center of translation. 4.A translation requires a line of translation.
Answer: 1. A translation takes a line to a parallel line or itself.
Step-by-step explanation:
I took the quiz myself.
When a line is translated, it means the line is moved from one position to another. The true statement is:
(1). A translation takes a line to a parallel line or itself.
In transformation, translation does not change the orientation of a line. This means that:
The position of the lines will change, when translatedThe orientation of the lines will remain unchangedIt does not require a center or scale of translationPoint (2) above means that;
Parallel lines will remain parallelPerpendicular lines will remain perpendicularUsing the above analysis, we can conclude that: option (1) is true
Read more about translations at:
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find an equation in slope-intercept forma for the línea with slope -12 and y-intercept=1/2
Answer:
Option D
Step-by-step explanation:
Slope intercept is:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept.
The slope in the question is -12. The y-intercept is 1/2.
Plug in the values:
[tex]y=mx+b\rightarrow \boxed{y=-12x+\frac{1}{2}}[/tex]
Hope this helps.
Answer:
Slope-intercept form:
[tex]y = -12x + \frac{1}{2}[/tex]
Step-by-step explanation:
-Since you already have the slope and the y-intercept, all you need is to apply them to a slope-intercept form:
Slope: [tex]-12[/tex]
y-intercept: [tex]\frac{1}{2}[/tex]
-Slope-intercept equation:
[tex]y = mx + b[/tex]
(where [tex]m[/tex] represents the slope and [tex]b[/tex] represents the y-intercept)
-Applying to slope-intercept form:
[tex]y = -12x + \frac{1}{2}[/tex]
And were done.
A student is using a table of values to graph the line y = -2x + 3. The student's table is shown below. What number would this student fill in for the "?" in the table? x y -4 11 -5 13 -6 ?
Answer: Y
Intercept Is the correct answer
Step-by-step explanation:
Evaluate the expression for the given value of the variable X-3/10 for x= 3/7
Answer:
9/70
Step-by-step explanation:
X-3/10 for x= 3/7
3/7-3/10
9/70
Solve for x.
5x - 6 = -46
Does any one know the answer?
Answer:
X= -8
Step-by-step explanation:
Subtract 6 on both sides
that leaves you with
5/5=-40/5 The 5s cancel out leaving you with -40/5 and -40 divided by 5 is -8
Answer:
x= -8
Step-by-step explanation:
5x - 6 = -46 original equation
5x = -40 added 6 to both sides
[tex]\frac{5x}{5} = \frac{-40}{5}[/tex] divide both sides by 5
x = -8 solution
