Answer:
a
[tex]P(A_1) = 0.007[/tex]
b
[tex]P(A_2) = 0.016[/tex]
c
[tex]P(A_3) = 0.008[/tex]
d
[tex]P(A_4) = 0.004[/tex]
e
[tex]P(A_5) = 0.0002[/tex]
Step-by-step explanation:
From the question we are told that
The number of cards selected is n = 7
Generally in a standard deck of cards
The total number of cards is N = 52
The number of hearts is h = 13
The number of diamonds is d = 13
The number of spade is s = 13
The number of Ace is a = 4
The number of kings is k = 4
Considering question a
The number of ways to selected 5 hearts out of the 13 hearts is mathematically represented as
[tex]G = ^{13}C_5[/tex]
Here C means combination so
The number of cards that is not hearts is 52 - 13 = 39
Generally the number of ways of selecting the reaming 2 cards is
[tex]H = ^{39}C_2[/tex]
Generally the number of ways to select the 7 cards from the 52 deck of cards is
[tex]V = ^{52}C_7[/tex]
Generally the probability that exactly 5 of the 7 cards are hearts is mathematically represented as
[tex]P(A_1) = \frac{G * H}{V}[/tex]
=> [tex]P(A_1) = \frac{^{13}C_5 * ^{39}C_2}{^{52}C_7}[/tex]
=> [tex]P(A_1) = 0.007[/tex]
Considering question b
The number of ways to selected 3 diamonds out of the 13 diamonds is mathematically represented as
[tex] B = ^{13} C_3 [/tex]
The number of ways to selected 3 hearts out of the 13 hearts is mathematically represented as
[tex]K = ^{13}C_3[/tex]
The number of cards that is not hearts or diamond is 52 - (13 +13) = 26
Generally the number of ways of selecting the reaming 1 cards is
[tex]M = ^{26}C_1[/tex]
Generally the probability that there are 3 hearts and 3 diamonds is
[tex]P(A_2) = \frac{B * K * M}{V}[/tex]
=> [tex]P(A_2) = \frac{^{13}C_3 * ^{13}C_3 * ^{26}C_1}{^{52}C_7}[/tex]
=> [tex]P(A_2) = 0.016[/tex]
Considering question c
The number of ways to selected 1 spade out of the 13 spade is mathematically represented as
[tex]J = ^{13}C_1[/tex]
Generally the probability that there are 3 hearts, 3 diamonds and 1 spade is
[tex]P(A_3) = \frac{B * K * J}{V}[/tex]
=> [tex]P(A_3) = \frac{^{13}C_3 * ^{13}C_3 * ^{13}C_1}{^{52}C_7}[/tex]
=> [tex]P(A_3) = 0.008[/tex]
Considering question d
The number of ways to selected 2 Aces out of the 4 Aces is mathematically represented a
[tex]U = ^{4}C_2[/tex]
The number of ways to selected 2 Kings out of the 4 Kings is mathematically represented a
[tex]R = ^{4}C_2[/tex]
The number of cards that is not Aces or Kings is 52 - (4 +4) = 44
Generally the number of ways of selecting the reaming 3 cards is
[tex]S = ^{44}C_3[/tex]
Generally the probability that there are 2 Aces and 2 Kings is
[tex]P(A_4) = \frac{U * R * S}{ V}[/tex]
=> [tex]P(A_4) = \frac{ ^{4}C_2 * ^{4}C_2 * ^{44}C_3}{ ^{52}C_7}[/tex]
=>[tex]P(A_4) = 0.004[/tex]
Considering question e
The number of ways to selected 3 Kings out of the 4 Kings is mathematically represented a
[tex]P = ^{4}C_3[/tex]
Generally the number of ways of selecting the reaming 2 cards is
[tex]Q = ^{44}C_2[/tex]
Generally the probability that there are 2 Aces and 3 Kings is
[tex]P(A_5) = \frac{U * P * Q }{V}[/tex]
=> [tex]P(A_5) = \frac{ ^{4}C_2 * ^{4}C_3 * ^{44}C_2 }{^{52}C_7}[/tex]
=> [tex]P(A_5) = 0.0002[/tex]
set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250
Answer:
125
Step-by-step explanation:
The theoretical probability is 1/8 and (1/8)*1000=125
Answer:
b
Step-by-step explanation:
got it right
What’s the ratio 217:279 simplified
Answer:
666:999
Step-by-step explanation:
olyiuuuyyiuuuuuu
apply the distrubtive property to simply the expression -3(6x+ 2)
Answer: -18x-6
Step-by-step explanation:
You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).
-3 x 6 = -18
-3 x 2 = -6
(+ -6 can be written as -6)
i am confuse on this. I tried to figure it out. but I couldn't please help
Answer:
A and B?
Step-by-step explanation:
Correct me if im wrong plz
Answer:
A and B
If i am wrong correct me please
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
Answer:
5-3+12=7
Step-by-step explanation:
Solve The equation mx + 3b = 25 for x *
helllllpppppp pleasxee huryyyyy
Answer:
Bottom left
Step-by-step explanation:
Function: each x only has one y, and this is the only graph that fits the description
What 2+2.... I need help lololololol.olo
Answer:
4
Step-by-step explanation:
2+2 is 4
Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.
Answer:
y=1.003009+0.003453x
or
GPA=1.003009+0.003453(SAT Score)
Step-by-step explanation:
The least square regression equation can be written as
y=a+bx
In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.
SAT score (X) GPA (Y) X² XY
421 2.93 177241 1233.53
375 2.87 140625 1076.25
585 3.03 342225 1772.55
693 3.42 480249 2370.06
608 3.66 369664 2225.28
392 2.91 153664 1140.72
418 2.12 174724 886.16
484 2.5 234256 1210
725 3.24 525625 2349
506 1.97 256036 996.82
613 2.73 375769 1673.49
706 3.88 498436 2739.28
366 1.58 133956 578.28
sumx=6892
sumy=36.84
sumx²=3862470
sumxy=20251.42
n=13
[tex]b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]
b=9367.18/2712446
b=0.003453
a=ybar-b(xbar)
ybar=sum(y)/n
ybar=2.833846
xbar=sum(x)/n
xbar=530.1538
a=2.833846-0.003453*(530.1538)
a=1.003009
Thus, required regression equation is
y=1.003009+0.003453x.
The least-squares regression equation that shows the best relationship between GPA and the SAT score is
GPA=1.003009+0.003453(SAT Score)
A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen
This is a fast question i will give you brainlest if you annswer this question What is elapsed time also what 100 ÷ 300 no rush just try yiur best. Thank you
Answer:
100÷300 =3 I know only this answer
A fair die is rolled three times. A 4 considered success while all other outcomes are failures. Find the probability of each number of successes.
Answer:
Probability of success = 1/6.
Step-by-step explanation:
A die has 6 sides, all different assuming the die is fair. If a 4 is the ONLY successful outcome, the probability of a successful outcome is 1/6, and the probability of a failed outcome is 5/6, because 5 of the 6 sides are not the number 4.
PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE
Answer:
18 hours. For 1 hour you packed 10 boxes.
Step-by-step explanation:
i need help solving for x
In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5
Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?
Answer:
26
Step-by-step explanation:
Let the peter's number be represented x
Given that
1. if you subtract 19 from my number
writing it mathematically it will be x -19
2. multiply the difference by -3
it can be written as
since difference is x-19
multiplied the difference with -3
-3(x-19)
3. the result is -21
-3(x-19) = -21
dividing both side by -3
-3(x-19)/-3 = -21/-3
x-19 = 7
adding 19 both sides
x-19 + 19 = 7 + 19
x = 26
Thus, peter's number is 26.
help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *
Answer:
-2
Step-by-step explanation:
When you fill it in you get 4(2)+3(-3)-1 then multiply and add
Please answer question a & b.
a) Work out the following:
3/4 - 7/9 + 2
b). Which is the largest of the following numbers?
0.1, 0.02, 0.003, 0.0004, 0.00005
Please help due today.
Answer:
a)
b)0.1
pls refer to the pic
find the value of x
Answer:
141°
Step-by-step explanation:
The angle given is 39°;
Since this problem deals with angles in a transversal, it is easy to solve.
Now;
Angle given is a corresponding angle to the angle a;
Corresponding angles are equal; so angle a = 39°
Also,
angle a is corresponding to angle b;
angle b = 39°
So, angle b and x are on a straight line;
b + x = 180
x = 180 - 39 = 141°
what's
b-a=
c-b=
im confused someone help pleaseee
Answer: n minus c would equal c c minus b would equal z
Step-by-step explanation:
What number is represented by a point 6 units to the left of 5 on the number ling
shown
Answer:
-1
Step-by-step explanation:
5-6=-1
pleas yall help ill give you brainiest if you help
Answer:
C) $3557.75
Step-by-step explanation:
First...
Use the equation SI = PRT/100 or (simple intrust is equal to principle*rate*time divided by 100).
(53500*13.3*0.5)/100
Next...
Mutiply
355775/100
Finally...
Divide
355775/100 = 3557.75
So the answer is...
$3557.75
CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
19
Constructed Responses
..
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
...
A. How much does Curtis charge to deliver the food?
Answer:
I'm Pretty Sure it is $16.20
Step-by-step explanation:
First, you add 2.50 + 0.20 and you get 2.70. Then, you get 2.70 x 6 miles and you get 16.20. Hope this helps! :)
finding the slope
(-2,-2) , (11,-10)
John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.
Answer: 800 - 25w = 1400
Step-by-step explanation:
What is there to edplain??
Answer:
800+25w=1400
Step-by-step explanation:
took the test
3/7 times 13 as a mixed number
Answer:
[tex]5\frac{4}{7}[/tex]
Step-by-step explanation:
Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True
Answer: Always true
Step-by-step explanation:
Whole numbers including 0 are always integers
The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:The reasonable domain contains only positive whole numbers.
Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.
Answer:
B on edge 2021
Step-by-step explanation:
Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
How often will a bag contain both a T-shirt and socks?
T shirt: Every fourth bag
Socks: Every third bag
Answer: Every 12th bag has both a T-shirt and socks.
Step-by-step explanation:
Given: T shirt: Every fourth bag
Socks: Every third bag
Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12
It implies every 12th bag has both a T-shirt and socks.
Hence, Every twelfth bag has both a T-shirt and socks.
find the trig value (with work)
Answer: B (4/5)
Step-by-step explanation:
SOH CAH TOA
T = opposite/hypotenuse
Opposite = 32
Hypotenuse = 40
Simplify 32/40 = 4/5