Answer:
The probability is [tex]0.3819[/tex]
Step-by-step explanation:
We know that Teresa is playing a game in which she is dealt 8 cards from a deck that includes 3 jokers and 52 common cards (a total of 55 cards).
Let's define the following random variable :
[tex]X[/tex] : '' Number of jokers in the hand of Teresa ''
We need to find [tex]P(X\geq 1)[/tex]
This probability is equivalent to :
[tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)[/tex] is the probability of having none jokers in the 8 card hand.
In order to find [tex]P(X=0)[/tex] we are going to count all the cases in which [tex]X=0[/tex] (given that we are in presence of an equally - likely sample space)
We calculate [tex]P(X=0)[/tex] as :
[tex]P(X=0)=\frac{\left(\begin{array}{c}52&8\end{array}\right)\left(\begin{array}{c}3&0\end{array}\right)}{\left(\begin{array}{c}55&8\end{array}\right)}[/tex]
We define the combinatorial number [tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
In the denominator we have [tex]\left(\begin{array}{c}55&8\end{array}\right)[/tex] which represents all the ways in which we can extract 8 cards from the deck of 55 cards.
In the numerator we have the product of [tex]\left(\begin{array}{c}52&8\end{array}\right)[/tex] (which represents all the ways in which we can choose 8 cards from the 52 common cards) and [tex]\left(\begin{array}{c}3&0\end{array}\right)[/tex] (which represents that from the total of 3 jokers we extract 0)
If we perform the operation we find that :
[tex]P(X=0)=0.6181[/tex]
Finally,
[tex]P(X\geq 1)=1-P(X=0)=1-0.6181=0.3819[/tex]
The probability is [tex]0.3819[/tex]
what is..
y=-1/2x+5 and y=3/2x-3?
Answer: (4, 3)
Step-by-step explanation:
Answer:
fhhhh
Step-by-step explanation:
Please help(ik it’s not c)
Answer:
Its A
Step-by-step explanation:
calculate angle ACD
please help
Answer:
∠ ACD = 70°
Step-by-step explanation:
The angle on the circle subtended by arc AB is half the angle at the centre subtended on the same arc, that is
∠ ACD = [tex]\frac{1}{2}[/tex] ∠ AOB = [tex]\frac{1}{2}[/tex] × 140° = 70°
Solve 9x² - 6x + 1 = 0 using the Quadratic Formula.
Answer:1/3 i dont know if this is right i just kindly copied the guy on top
Step-by-step explanation:
A man receives Rs. 60 for the first week and Rs. 3 more each week than the preceeding week. How much does he earns by the 20th week
Answer:
The man's income by the 20th week will be Rs. 1770
Step-by-step explanation:
Given that the income of man in first week is Rs. 60
It is also mentioned that the income increases every week then the previous one.
which means the weekly incomes will be like:
60,63,66,69.....
As the common difference of terms is same i.e. 3, it forms an arithmetic sequence.
Where
[tex]a_1 = 60\\d = 3[/tex]
The general formula for arithmetic sequence is:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values of d and a_1 we get
[tex]a_n = 60+(n-1)(3)\\a_n = 60+3n-3\\a_n = 57+3n[/tex]
This is the general formula to find the income of any week. Now for 20th week,
n = 20
[tex]a_{20} = 57+(20)(3)\\a_{20} = 57+60\\a_{20} = 117[/tex]
The income for 20th week is 117.
As we have to find the total income for 20 weeks
We will use the summation formula for arithmetic sequence.
[tex]S_n = \frac{n}{2}(a_1+a_{20}})[/tex]
Putting the values
[tex]S_n = \frac{20}{2}(60+117}\\S_n = 10(177}\\S_n = 1770\ Rs.[/tex]
Hence,
The man's income by the 20th week will be Rs. 1770
Please help with this math problem ASAP!
Answer:
0
Step-by-step explanation:
0 time difernce because a negative numbers means it will have an world record , while a positive time diference means it did not beat the world record
how do i expand and simplify 2(x+7)+3(x+1)
Answer: 5x+17
Step-by-step explanation:
2x+14+3x+3= 5x+17
First, multiply 2 by x and 7, which will give you 2x+14 then add the plus sign right after the 14. then multiply 3 by x and by 1 to get 3x+1.
6th time i posted this, could someone help me?
Answer:
it's blurry
Step-by-step explanation:
Find the x and y intercepts.
4x - y = 12
Answer:
x-intercepts (3,0)
y-intercept (0,-12)
x= 3
y= -12
Step-by-step explanation:
Pls give me the answer! Thanks!
Answer:
6
Step-by-step explanation:
7 x 6 = 42 + 9 = 51 + 54 = 105 + 75= 180
Answer:
6
Step-by-step explanation:
Tge sum of interior angles in a triangle is equal to 180°
7x + 9 + 54° + 75° = 180° add like terms
7x + 138° = 180° subtract 138 from both sides
7x = 42 divide by 7
x = 6
please help me i really need to pass!! i’ll mark you as brainliest
Answer:
x=33.4
Step-by-step explanation:
Answer:
x = 51 :)
Step-by-step explanation:
2x + 32 = 3x - 19
combine like terms
51 = x
(ó﹏ò｡) hey uh- a lil' help here pls
As a young girl, Carmen enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Carmen builds wooden furniture for a living. Her most popular product is a cedar porch swing.
There is a proportional relationship between the time (in days) Carmen spends making porch swings, x, and the number of swings she builds, y.
x (days) y (swings)
12 6
16 8
18 9
20 10
What is the constant of proportionality? Write your answer as a whole number or decimal.
swings per day
Answer:
Try using slope formula
Step-by-step explanation:
You can use the formula of m= ((y2)-(y1)/((x2)-(x1))
I hope this helps
Well, it's really simple actually. You don't need to focus on all those extra words on the top, focus on days and swings
In 20 days, Carmen swings 10 times.
In 10 days, Carmen swings 5 times.
If you notice, Y is multipled 0.5 of the original, so half
This means, 1 day (X) is swung 0.5 (Y)
I think Carmen is a possesed little girl for pulling that off
If you have any questions, feedback, or problems, let me know
It is easy
(just not for me)
solve the function h(x)= 1/2-3 and j(x)= 2x+6, for x.
Answer:
x= -6
Step-by-step explanation:
0.0002077 scientific notation
Answer:
[tex]2.077[/tex] × [tex]10^{-4}[/tex]
Step-by-step explanation:
To convert to scientific notation, you need the number to be less than 10, but greater than 1 and is multiplied by a base of 10 to the power of the number of times you moved the decimal. So you need to shift the decimal place 4 times to the right to get to 2.077 (which is less than 10, but greater than 1). The next part is that you’ll need a base number, which is 10 because your moving the decimal by 10s. Since the decimal is being moved to the right, the exponent will be negative. You moved it 4 times so it’s [tex]10^{-4}[/tex]. The finished answer is:
[tex]2.077[/tex] × [tex]10^{-4}[/tex]
Hope this helps and answers your question! :)
A NASA spacecraft once landed on the surface of the asteroid named 433 Eros.This asteroid is near Earth and has an average orbital speed of 24.36 kilometers per second. What is its speed in meters per second? 0.02436 meters per second 0.2436 meters per hour 2,460 meters per hour 24,360 meters per second
Answer:
24,360 meters per second
Step-by-step explanation:
The average speed = 24.36 kilometer per second
We were asked to convert this to meters per second
1 kilometre = 1000 metres
Hence
24.36km/s = 24.36 × 1000 meters/seconds
= 24,360 meters/seconds.
The average speed of the asteroid is 24,360 meters/seconds.
Answer:
24,360 meters per second
Step-by-step explanation:
3b=2p-7 make p the subject
Answer:
p = (3b + 7)/2
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
3b = 2p - 7
Step 2: Solve for p
Add 7 to both sides: 3b + 7 = 2pDivide 2 on both sides: (3b + 7)/2 = pRewrite: p = (3b + 7)/2And we have our final answer!
Step-by-step explanation:
3b = 2p - 7
make p stand alone
3b + 7 = 2p
dividing both sides by 2
p = (3b + 7)/2
What is 84.8 divided by that =10.6
Answer:
8
Step-by-step explanation:
divide 84.8 by 10.6 to get the other term needed
84.8/10.6
p(x)= 2x + 3. Find P(O).
P(0) =
Answer:
3
Step-by-step explanation:
p(x)= 2x+3
p(0)=p(x=0)= 2*0 +3 =3
Bella wants to save for a vacation in three years and this vacation costs $2300 . She deposits $2000 into a bank earning 5% interest compounded monthly. Will Bella have the amount she wants after three years?
Answer:
yea Bella would have the amount she wants
Tom is trying to save $450.80 to buys a new tablet. right now he only has $54 and can save $64 every week from his allowance. Write an inequality to represent the total needed where the w is the number of weeks needed.
Inequlity:450
How many weeks will tom have to save in order to buy the tablet?
Graphs tom weeks needed to see up the money to buy the tablet. And lastly, see if the circle is open or close
Please help me with this question
Answer:
Inequality: 54+ 64x ≥ $450.80
x= number of weeks
7 weeks
The circle is closed
ANSWER THE QUESTIONS PLS. SERIOUS ANSWERS ONLY. 100 POINTS
Answer:
Step-by-step explanation:
Tnd 50 dia w2 wop p.35.00 dma fw
Answer: the answer is wha the other dude said
Step-by-step explanation:
factor this expression 30+72
Answer:
102
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full.
Irene's car had
6.1 gallons in the
14-gallon tank on the coldest day of the year.
Irene filled the tank with gas that cost $
3.80 per gallon. How much did
Irene spend on gas?
Answer:
Well, she spent $1.66 to add enough fuel to her tank to be half full.
Step-by-step explanation:
[tex]\frac{6.1 gallons 3.80}{14 gallon tank}[/tex]= 1.66
What is the common ratio of the sequence? I will make whoever answers brainliest!!
Answer:
-5/2
Step-by-step explanation:
Mark all the solutions that apply: A number minus 12 times its reciprocal is 1.
-3
4
1
3
-1
-4
Give the slope of a line perpendicular to y = -5
PLEASE I NEED HELP
Answer:
its undefined. sorry but i dont know how to explain this
I need help on this. Can someone please help me??
Answer: A
Step-by-step explanation: if you want me to explain just comment
Carla has $300 in her bank account. Each time she goes to the ATM,she withdraws $20. The amount of money left in her bank account after x ATM withdrawal is represented by the function y=300-20x. What does the x-intercept represent?
Answer:
The amount of withdrawals she made.
Step-by-step explanation:
Which of the following functions is graphed below?
O A. y - x - 344
O B. y - 1+31+1
O C. y - 1+ 3-4
D. y - x - 3-4