Answers
Part A
We have 20 cards, 4 of which are kings (one of each suit). The probability of getting a king on the first draw is 4/20 = 1/5.
Answer: 1/5===========================================================
Part B
We have 20-4 = 16 cards that aren't a king out of 20 total.
The probability of getting a non-king card is 16/20 = 4/5
After selecting the first card and not putting it back, we have 20-1 = 19 cards left. Four of which are a king, so 4/19 represents the probability of getting a king on this draw.
So (4/5)*(4/19) = 16/95 is the probability of getting a king on the second draw where the first draw is not a king.
Answer: 16/95===========================================================
Part C
16/20 is the probability of getting no kings on the first draw
15/19 is the probability of getting no kings on the second draw (notice I stepped the values down by 1)
14/18 is the probability of getting no kings on the third draw
Multiplying out the fractions gives
(16/20)*(15/19)*(14/18) = 28/57
I skipped a few steps when multiplying the fractions but you get the idea.
The probability of drawing 3 cards, none of which are a king, is 28/57
Subtract this from 1 to get the complementary probability
1-(28/57) = 57/57 - 28/57 = (57-28)/57 = 29/57
This works because we have two choices: either we get no kings, or we get at least one king. So that's why the two events are complementary and their probabilities add to 1.
Answer: 29/57Related Questions
You are buying packages of beads to make bracelets. Each package costs $3 plus 7% tax. You have a gift card for $15, and you plan to use only the gift card to pay for the beads. Which function c(p) represents the total cost, where p represents the number of packages of beads you purchase? What is a reasonable domain?
A. c(p) = 3.21p − 15; {0, 1, 2, 3, 4}
B. c(p) = 3.21p; all nonnegative integers
C. c(p) = 0.07(3p − 15); all nonnegative integers
D. c(p) = 1.07(3p); all nonnegative integers
Answers
Answer:
A
Step-by-step explanation:
You must multiply the number your buying by the price then you need to multiply by 1.07 because you need 7% or .07 to get the tax but you want to add that to the old number so you need a 1 in front so the answer is c(p) = 1.07(3p) however you still need the $15 gift card so instead you add the 7% into the three dollars you are multiplying by the number then subtract the 15 dollars because you aren't really paying. The reasonable domain is 0 1 2 3 4 because the number 5 would be over the 15 dollar limit.
0.6x + 3 = 0.1x - 7 what value of x makes the question true
Answers
Answer:x=-20
Step-by-step explanation:
what is f(-2) if f(x)=x^2+3
Answers
Answer:
f(-2)=7
Step-by-step explanation:
substitute -2 in for x
[tex]f( - 2) = { - 2}^{2} + 3[/tex]
-2×-2=4
4+3=7
Answer:
f(-2)=7Step-by-step explanation:
[tex]f(x)=x^2+3\\\\f(-2)=?[/tex]
Substitute ; -2 for x in the given function
[tex]f(-2)= (-2)^2+3\\\\\mathrm{Calculate\:exponents}\:\left(-2\right)^2\::\quad 4\\\\f(-2)=4+3\\\\f(-2)=7[/tex]
i need to come up with 2 equivalent expressions of -5x^12/2y^8 with work pleaseeee
Answers
(5x^12)/(-2y^8)
-((5x^12)/(2y^8))
Step-by-step explication:
Move the negative sign by multiplying both the numerator and denominator by -1
(5x^12)/(-2y^8)
Move the negative sigh out of the fraction by factoring out -1
-((5x^12)/(2y^8))
Need helppp2/3 (18a - 11) = 1/3 (a + 13)
Answers
Answer: a = 1
its mostly combing, dividing and distributing.
Answer:
the answer is a = 1
Step-by-step explanation:
combine a and 18a and combine 11 and 13
divide and distribute the numbers and then you get your answer
this was kinda and easy problem
Find the sum.
(8x^4+2x^2−1) + (3x^3−5x^2+7x+1)
Answers
Answer: 8x⁴ + 3x³ -3x² + 7x
Answer: 8x^4+3x^3-3x^2+7x
Step-by-step explanation: just simplify the equation
An account is opened with an initial deposit of $100 and earns 3.0% interest compounded monthly.
What will the account be worth in 25 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answers
= 209.377793
= 209.4
Write 57,800,000 in scientific notation.
Answers
−7+3(−4e−3) equivalent expression
Answers
Find the percent of decrease. Round to the nearest whole percent.
old: 374 boxes; new: 130 boxes
Answers
Answer:
B
Step-by-step explanation:
simplify: 3x+16-(-4x)+7
Answers
Answer:
7x+23 would be the answer
Deposit $125 in your checking account
Answers
Answer:
??
Step-by-step explanation:
Answer:
You are adding $125 into your checking account.
Step-by-step explanation:
Is d=(10)+(-20) d=10)(5 d=(-35)+(
Answers
Answer:
d=7
Step-by-step explanation:
Evaluate a+4 when a=7 but how do you do it doe?
Answers
Answer:
11
Step-by-step explanation:
if a = 7
7 +4 = 11
or
a + 4 = 11
Hope this helps! Please mark Brainliest!
(IF YOU GIVE ME THE CORRECT ANSWER YOU GET BRANIEST) as part of a summer job, you stack crates. the crates have the same length and width but have heights of 1 or 2 feet. using a forklift, you can stack the crates 8 feet high. if you stacked 3 of the 2-foot crates how many of the 1-foot crates were in the stack? please help!!
Answers
Answer:
2 one foot crates were in the stack.
Step-by-step explanation:
if the forklift can hold 8 feet, and 3 two-feet ones were in the stack, that leaves 2 feet left, which allows for two 1-foot crates.
3x2=6
8-6=2
1x2=2
Which is an equivalent form of the following equation?
2x – 3y = 3
Answers
If you need it in another form let me know
Answer:
y=2/3x - 1
Step-by-step explanation:
2x-3y=3
-2x -2x
-3y= -2x + 3
÷-3 ÷-3 ÷-3
y= -2/3 x - 1
when a figure translated, reflected, or rotated, whats the same about the original figure and its image
Answers
Answer:
the original figure doesnt change shape, only location
Step-by-step explanation:
Answer:
the image is the same size and shape but a different location
Step-by-step explanation:
What is LCM of 4a and
10a
Please explain I don’t understand
Answers
Answer:
it is 20a
Step-by-step explanation:LCM means least common multiple.so the least common multiple of 4a and 10a is 20a
.hope this helps!
In right triangle ABC, angle A= 90 degree, and AB = BC ,Find angle B, angle C
Answers
Answer:
b=45 c=45
Step-by-step explanation:
A box of cereal states that there are 84 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 2 cups of cereal
Answers
Answer:
2 cups of cereal, would be 224 calories.
Step-by-step explanation:
If one cup is 112 calories, all you have to do is multiply it by 2. Which gives you the answer of 224.
Answer:
unit rate - 112
2 cups - 224
Step-by-step explanation:
I tried my best to figure this out, i hope its correct !!
PLZ HELP!!
The function c(x) = 2.5x + 15 shows the cost, in dollars, to make x necklaces.
What is c(10)?
What is c(15)?
What is the best interpretation of c(20) = 65 in terms of the problem?
Answers
Answer:
c(10)=40
c(15)=52.5
Step-by-step explanation:
c(10) means you plug 10 into your x same with (c15) you plug in 15 so for c(10) it would be 2.5(10) + 15 which is 40
The value of c(10) and c(15) is 40 and 65 respectively.
The given function is c(x) = 2.5x + 15.
What is the function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Now, c(10)=2.5(10)+15=40
c(15)=2.5(15)+15=52.5
Given c(20) = 65
So, 65=2.5x+15
⇒50=2.5x
⇒x=20
Therefore, the value of c(10) and c(15) is 40 and 65 respectively.
To learn more about the functions visit:
https://brainly.com/question/12431044.
#SPJ5
PT = 3x +3 and TQ = 5x -5
Answers
explanation:isolate variable by dividing each side with the factors
Sylvia set a treadmill for 38 minutes, and so far she has run 61% of the minutes
Which is the best estimate for the number of minutes Sylvia has run so far?
O 18 minutes
O 21 minutes
O 24 minutes
O 28 minutes
Answers
Answer:
C. 24 minutes
Step-by-step explanation:
1/2n+3=6 solve for n
Answers
Answer:
i think this is your ans
mark as brainliest
plezzz.....
Answer:
If you meant (1/2)*n+3=6, n=6. If you meant 1/(2*n)+3=6, n=1/3.
P.s.
Please give me brainliest for my next rank
what are warnings sopposed to mean on here????
and guess how many i have and tell me urs
Answers
Answer:
basically, if you do something against guidelines, you get a warning.
Step-by-step explanation:
id say you have 1, i have 0 lolol
Answer:
They mean that you posted unrealated things and if you do more times something will happen like you will get band i guess i have 0
Step-by-step explanation:
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on, until there are 200 logs in the bottom row. Is the pattern an arithmetic sequence? Identify a and d. Write the 50th term of the sequence. Find the total number of logs in the first 10 rows.
Answers
Answer:
1) Is the pattern an arithmetic sequence?
Yes it is
2)Identify a and d.
a = First term = 2
d = Common difference = 2
3) Write the 50th term of the sequence.
50th term = 100
4) Find the total number of logs in the first 10 rows.
= 1010 logs
Step-by-step explanation:
Is the pattern an arithmetic sequence?
Yes it is
2) Identify a and d.
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,
The formula for arithmetic sequence =
an = a+ (n - 1)d
a = First term
d = Common difference
For the above question:
a = 2
d = Second term - First term
= 4 - 2
d = 2
3) Write the 50th term of the sequence.
Using the formula for arithmetic sequence
an = a+ (n - 1)d
a = 2
n = 50
d = 2
a50 = 2 + (50 - 1)2
= 2 + (49)2
= 2 + 98
= 100
The 50th term = 100
4)Find the total number of logs in the first 10 rows.
Sum of first n terms = n/2(a + l)
n = 10
a = first term = 2
We are told that there are 200 logs in the bottom row, hence:
l = last term = 200 logs
Hence,
Sn = 10/2×[ (2 + 200
= 5(202)
= 1010 logs
6. If RT = 4x, find the value of x and RS. x= RS = S RT = *
Answers
Answer: 4
4x = 4
S RT = 4
Answer = 4
i am not so sure.
Find the H.C.F of a²+7a+10,a²+6a+8anda²+9a+20
Answers
Answer:
a²+7a+10=0
(a+2)(a+5)=0
∴a+2=0
a= -2
a+5=0
a= -5
a²+6a+8=0
(a+2)(a+4)=0
∴a+2=0
a= -2
a+4=0
a= -4
a²+9a+20
(a+4)(a+5)
∴a+4=0
a= -4
a+5=0
a= -5
Step-by-step explanation:
Solution on the Math book
Given m∥n .
What theorem or postulate justifies this statement?
∠4≅∠6
alternate interior angles theorem
alternate exterior angles theorem
corresponding angles postulate
vertical angles theorem
linear pair postulate
Answers
Answer: heres the answer for future people lel
The theorem that justifies this statement ∠4≅∠6 is; Alternate Interior Angles.
What are Alternate Interior angles?When two parallel lines are crossed by a transversal line, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These alternate interior angles are always equal.
From the given diagram, we see that ∠4 and ∠6 fall into the category of alternate interior angles.
Read more about Alternate Interior angles at; https://brainly.com/question/24839702
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Olaf buys 4 cans of soup at the store for a total of $5.00. Which equation represents the cost, y, in dollars, of buying x cans of soup, given that the cost is proportional to the number of cans of soup?
Answers
Answer: x=1.25y
Step-by-step explanation:
each can is 1.25 and i’m pretty sure the question is just asking for the unit rate in a equation
