Answer:
135/512
Step-by-step explanation:
In a deck of card, there are 13clubs.
A deck of card contains 52cards
Total clubs = 13cards
Probability of selecting a club and replacing is expressed as P(C) = total number of clubs/total card
P(C) = 13/52 = 1/4
q = 1-p
q = 1-1/4
q =3/4
Let X be probability function used is a binomial distribution formula expressed as:
Since 5cards is drawn at random, n = 5
P(X = x) = nCx q^(n-x)p^x
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
The probability of the sequence is expressed as:
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
x is the number of clubs present
b) To find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck, we will substitute x = 2 into the probability function in (a) a shown;
P(X = 2) = 5C2•3/4^(5-2)•(1/4)^2
P(X = 2) = 5C2•3/4^(3)•(1/4)^2
P(X = 2) = 5C2•27/64•(1/16)
P(X = 2) = 5C2•27/1024
P(X = 2) = 5!/(5-2)!2!•27/1024
P(X = 2) = 5!/3!2!•9/1024
P(X = 2) = 5×4×3!/3!2•27/1024
P(X = 2) = 5×4/2•27/1024
P(X = 2) = 10•27/1024
P(X = 2) = 135/512
Hence the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck is 135/512
Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
N
In which test did she do better?
You must show your working.
What is A−1? Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.
Step-by-step explanation:
ooo matrics um if you give me a second ill solve it
If rice costs $1.60 per kilogram, determine the cost of a pound of rice.
The cost is $ per pound.
Answer:
0.784
Step-by-step explanation:
The cost of rice is $1.6 per kilogram. Multiply it by 0.49
9. The
divides a segment into two
segments.
segment, additional
midpoint, congruent
ray, equal
line, broken
Answer:
it would be the midpoint
if you toss a die (1), what is the probability of getting the number 5 NOT coming up?
Answer: .833333
Step-by-step explanation:
5/6
You could get a 1, 2, 3, 4, 6
So 5 in total over 6 options
Your grades on 4 math tests are 79, 85,
86, and 88. You want your mean grade to
be at least 85. What grade on your fifth
test will give you a mean score of at least
85?
Answer:
The grade on the fifth test that will give you a mean score of at least 85 is 87
Step-by-step explanation:
From the question, the grades on 4 math tests are 79,85,86, and 88.
To determine the grade on the fifth test that will give a mean score of at least 85,
Let the grade on the fifth test be x,
From the formula for mean
Mean = Sum of terms / Number of terms
That is,
85 = (79 + 85 + 86 + 88 + x) / 5
[tex]85 = \frac{79 + 85 + 86 + 88 + x}{5}[/tex]
[tex]85 = \frac{338 + x}{5}[/tex]
[tex]338 + x = 85 \times 5[/tex]
[tex]338 + x = 425\\[/tex]
[tex]x = 425 - 338[/tex]
[tex]x = 87[/tex]
x = 87
Hence, the grade on the fifth test that will give you a mean score of at least 85 is 87.
rafael counted a total of 40 white and yellow cars. there are 9 times as many white cars as yellow cars. how many white cars did rafael count.
Answer:
360
Step-by-step explanation:
40 times 9 = 360
there are 360 yellow cars
or we can do it like this
360 divided by 9 = 40
or 360 divided by 40 = 9
pls mark me brailest for real :,,(
Answer:
360
Step-by-step explanation:
9 x 40 = 360
If you divide 360 by 9 it will give you 40,
or if you divide 360 by 40 it will give you 9.
how do you write a real world scenario using equations
Answer:
You will need an unknown value at first. Let that value be X.
Step-by-step explanation:
So let's say that Sandra earns 5 dollars per hour and already has 30 dollars. Now lets use this form
y-mx+b(Easy way to write one)
y=5x+30
X Is Number of hours while y is the money gained
Solve for x.
4x + 5 = 25
x=7 1/2
x = 5
x= 2 7/9
x = 2 1/2
the model shows the expression 21+9 wich expression is equivalent to this sum
Answer:
A
Step-by-step explanation:
First way to do this:
3(7 + 3)
7 + 3 = 10
10 multiplied by 3 = 30
Second way to do this:
3(7 + 3)
3 multiplied by 7 = 21
3 multiplied by 3 = 9
21 + 9 = 30
Hope I helped :)
Please consider Brainliest :)
Answer:
the answer is a i toke the test
Step-by-step explanation:
Mrs. Totino makes her own spaghetti sauce. If she buys 24 cans of tomatoes, and
each can weighs 79.254 grams, what is the total weight of the cans?
Well, this is easy and rather basic in my opinion. If you open a calculator and multiply 79.924 by 24, you come out with 1,902.96 grams. If you wanted to convert it into pounds, it would be 4 pounds.
please help me! i need the answer really quick!
Answer:
The average of the grade is 7.
Step-by-step explanation:
Add all of the grades up then divide by the number of grades there are
8+8+5=21
21÷3=7
Have a blessed day! I hope my answer was helpful!!
Answer:
The answer is 7
Step-by-step explanation:
So, we need to distribute the mean, (AKA:) average.
There is a rule when finding the average of numbers.
That rule is:
Adding all of the numbers together and dividing that sum by how many numbers there are in total that you added together.
1. First, we to add 8 and 8.
2. 8 + 8 = 16
3. Next, we need add to 5 to that 16.
4. 5 + 16 = 21
5. Since we have 3 numbers, we need to divide that 21 by 3.
6. 21 / 3 = 7
Thus showing that our answer is 7.
When trying to find the mean of numbers, always remember the rule of finding the average.
Please help
Find the slope between (2,4) and (5,8).
Answer:
Not sure what you exactly need, so I'll give a simple answer=4/3 or 1 1/3
Step-by-step explanation:
Slope is the change in y over the change in x. Substitute the numerator and denominator and you'll get the slope. Substitute the numerator for 4 and the denominator for 3. You get 4/3, or 1 1/3.
Hope this helps! :)
Answer:
(4,3)
Step-by-step explanation:
8 - 4 = 4
5 - 2 = 3
m = (y2 - y1)
< a "fraction"
(x2 - x1)
Chloe's car used 4 gallons to travel 72 miles. How many gallons of gas would she need to travel 270 miles?
Answer:
15 gallon of gas
Step-by-step explanation:
It is given that,
Chloe's car used 4 gallons to travel 72 miles.
We need to find number of allons of gas that would she need to travel 270 miles.
We firstly find gas required to travel 1 mile.
[tex]1\ \text{mile}=\dfrac{4}{72}\ \text{gallon}[/tex]
For 270 miles,
[tex]270\ \text{mile}=\dfrac{4}{72}\times 270\ \text{gallon}\\\\=15\ \text{gallon of gas}[/tex]
Hence, 15 gallon of gas is needed.
Answer:
18
Step-by-step explanation:
a
Negative
b
Zero
c
Positive
d
Undefined
Brian spends
1
4
of his wages on rent and
1
3
on food. If he makes £480 per week, how much money does he have left?
Answer:
£165
Hope I helped
Answer:
$200
Step-by-step explanation:
The Powerball lottery jackpot has a winning probability of 1/189,000,000. If you only consider the options of winning the jackpot ($100,000,000) or losing, what the is the mean value of a ticket that costs $2 to buy? At what point does the mean value of a ticket become positive?
Answer:
In this case, we can write the mean value as:
MV = ∑pₙxₙ - $2
Where pₙ is the probability of event xₙ
in this case we consider only two events:
x₁ = winning $100,000,000, p₁ = 1/189,000,000
x₂ = not winning (or winning $0.0), p₂ = 1 - p₁.
Then the mean value of the ticket is:
MV = $100,000,000*1/189,000,000 + 0*(1 - 1/189,000,000) - $2 = $0.53 - $2
MV = -$1.47
b) At what point the mean value becomes positive?
Well, if the ticket costs less than $0.53, the value would become positive.
if we also consider other possible prices, we will have other positive components in the sum above, then the mean value may become positive.
Now, you may notices that it does not matter if you buy N tickets, the mean value will always be negative becuase:
MV = N*$0.56 - N*$2 = N*-$1.47
This is because yes, as more tickets you buy, the more probabilities of winning the prize you have, but if you buy N tickets, you need to pay N times $2, so the mean value actually decreases.
show your work
21 = −7n
Answer:
It would equal -3
Step-by-step explanation:
you are trying to find how to get a positive 21 so you would have to divide 21 by -7
21 ÷ -7 = -3
to make sure it's correct muiltply it
-7 × -3 = 21
So therefore n = -3
She spended $7.50 on each book- If the camp leader has 12 campers how much does she spend on the books
Answer:
$7.50 multiplied by 12 = $90.00
Step-by-step explanation:
Answer:
$90 (assuming 1 book per camper)
Step-by-step explanation:
We are not told the number of books per camper.
If each camper gets 1 book, then since there are 12 campers, then there are 12 books.
12 * $7.50 = $90
(BTW, the word "spended" does not exist. The correct word is "spent.")
So each pattern will contain odd numbers?
find the value of x and y
Answer:
What is the equation?
Step-by-step explanation:
Find the LCM of the set of numbers 5 10 15 DUE TODAY
Hello.
The LCM is the smallest number that they all have in common when adding it by itself.
The multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50...
The multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100...
The multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150...
The Least Common Multiple is 30.
The answer is C. 30
A brother and sister share out their collection of 5000 stamps in the
ratio 5:3. The brother then shares his stamps with two friends in
the ratio 3:1:1, keeping most for himself. How many stamps do
each of his friends receive?
13
Answer:
1875
Step-by-step explanation:
After sharing in the ratio 5:3, the brother has
5000/(5+3) x 5 = 3125
Next, he shares with his friend in the ratio 3:1:1, thus
3125/(3+1+1) x 3 = 1875
What is the slope of the line that passes through the points(2,−3) and (2, 13) ?
Answer:
The slope would be undefined (16/0)
Step-by-step explanation:
(2, -3) and (2, 13)
13- -3 = 16
2-2 = 0
16 divided by 0 is undefined on a calculator so, undefined is the answer unless you weren't asked to simplify the answer then it would be 16/0.
diver starts out at 339 feet below the surface. She then swims upward 207 feet. Use a signed number to
epresent the diver's current depth
Answer:
-132
Step-by-step explanation:
What angle is this? ....
What is the width of a rectangle with length 25 in. and area 375 in.2?
the answer is 15 inches
Which of the following is the set of odd whole numbers between 0 and 10? A. Y={0,1,2,3,4,6,7,8,9,} B. Z={0,2,4,6,8,9} C. A={1,3,5,7,9} D. B={1,3,5,7}
Answer:
C. A=[1,3,5,7,9] thats the answer
Glenda's score for her first day of golf was -6, and she ended her second day with a score of -10. Which statement represents her total golf score for that day?
Answer:
on the first day she ha -6 and she had-4 more for her secod day to turn into -10
Step-by-step explanation:
Divide X^2-14x+45 by x-9
Answer:
x + 5
Step-by-step explanation:
Answer: [tex]$x-5$[/tex]
Step-by-step explanation:
Factoring [tex]$x^2-14x+45$ gives us $(x-9)(x-5)$. Cancelling we get our desired answer, $\boxed{x-5}$.[/tex]