Answer:
c. 0.3974
Step-by-step explanation:
Given;
number of white balls, W = 17
number of red balls, R = 18
Total number of balls, T = 35
The number of ways the event will occur is given by
= P(2 whites) and P(2 reds)
= P(2whites) x P(2 reds)
= 17C2 x 18C2
= 136 x 153
= 20,808
The total number of possible outcome
= 35C4
= 52,360
The probability = 20,808 / 52,360
= 0.3974
The correct option is "C"
Probability that the sample contains two white balls and two red ones is equal to 0.3974.
So, option c. is correct.
Permutations and combinationsProbability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim.
Number of white balls [tex]=\boldsymbol{17}[/tex]
Number of red balls [tex]=\boldsymbol{18}[/tex]
Total number of balls [tex]=\boldsymbol{35}[/tex]
Probability that the sample contains two white balls and two red ones
[tex]=\frac{\binom{17}{2}\binom{18}{2}}{\binom{35}{4}}[/tex]
[tex]=\frac{\frac{17!}{15!2!}\frac{18!}{16!2!}}{\binom{35!}{31!4!}}[/tex]
[tex]=\boldsymbol{0.3974}[/tex]
So, option c. is correct.
Find more information about combinations here:
https://brainly.com/question/815369?referrer=searchResults
Suppose that the batting averages or AVG (hits per at-bat) of all players in the AAA baseball league are normally distributed with a mean of 0.2 and a standard deviation of 0.05. The middle 95% of the player will have a lower bound of:____.a. 0.19.b. 0.03.c. 0.30.d. 0.07.
Answer:
0.1
Step-by-step explanation:
Solving using empirical rule formula
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Hence, the lower bound 95% =
μ - 2σ
Mean = 0.2
Standard deviation of 0.05
= μ - 2σ
= 0.2 - 2(0.05)
= 0.2 - 0.1
= 0.1
The lower bound is 0.1
Which valve is closest to 85% of 25
Answer:
21Step-by-step explanation:
The value that is closest
to 85% of 25 is 21 because
85% of is 21.25 and rounding
21.25 to the whole number is 21.
Hope this helps! <3
An electrician charges $50 for the first hour and $5.50 for each additional hour. Write an equation to represent the amount the electrician will earn
Answer:
50+5.50x
Step-by-step explanation:
I really hope this helps.
The average rate of change of g(x) between x = 4 and x = 7 is 7. Which statement must be true?
Answer:
x = 4 umm I am not sure but I think this is the answer
PLEASE HELP!! ILL GIVE →BRAINLIEST!←
Wilson paints 40% of a bookcase in 20 minutes.
How much more time will it take him to finish the bookcase?
1. Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.
Write your answer in the space below.
Answer:
It will take him 50 minutes to complete the painting.
Step-by-step explanation:
How many strings of five English letters that start with two consecutive vowels (A,E,I,O, or U) have no repeated letters
Answer:
242880
Step-by-step explanation:
In the English alphabet, we have 5 vowels. To form a string of 5 English letters in which it starts with two consecutive vowels; then we have the following.
In the first space, 5 vowels are possible.
in the second space, 4 vowels are possible since there is no room for repetition of letters.
Now, the total number of ways of assigning two distinct vowels in the first two spaces = 5 × 4 = 20
From the question, since it is said that the letter starts with two consecutive vowels, it implies that starting from the third letter, it can be filled with all the remaining alphabet, be it a vowel or consonant.
Thus, the remaining alphabet = 26 - 2 = 24 alphabets to fill the 3 remaining spaces, which can be achieved in 24P3 ways.
P(24,3) = 24!/(24-3)!
P(24,3) = 24!/21!
P(24,3) = 24 × 23 × 22 × 21! / 21!
P(24,3) = 24 × 23 × 22
P(24,3) = 12144 ways
Thus, the total number of strings of five English letters that start with two consecutive vowels without having repeated letters is:
= 5 × 4 × 24 × 23 × 22
= 242880
5 4 24 23 22
slove the question l10.24l
Answer:
10.24
Step-by-step explanation:
absolute value is always the same number but positive. Hope I helped.
Which postulate or theorem can be used for...
Answer:
A. SSS
Step-by-step explanation:
∆ABC has shown above has two given sides indicated, AB and AC, which are congruent to the corresponding two sides l, DC and DB, of ∆DCB.
Also, their third side is also congruent since they share a common side, side BC.
This means that the three sides of ∆ABC is congruent to the three corresponding sides of ∆DCB.
Therefore, ∆ABC is congruent to ∆DCB by the Side-Side-Side Congruence Theorem, which holds that of the three sides of one triangle is congruent to the three corresponding sides of another, then both ∆s are congruent.
Which two numbers have decimal forms that are non teminating and non repeating? a) 1/7 b )square 2 c) square 9/144 D) π E) 12/57
Answer:
b and d
Step-by-step explanation:
a rectangle that is 92 meters long and 18 meters wide
Answer:
a= 92(18) =1656
Area= 1656m
p= 2(92+18) =220
Perimeter= 220m
Decimal 16.25 is equal to the fraction
Answer:
16 1/4 or 65/4
Step-by-step explanation:
Answer:
it is equal to the fraction 1625/10 or 325/2
Help plz:))) I’ll mark u brainliest ASAP 10 points(:(: Xx thank you....!!!!!!!!!!!!......
Answer:
D
Step-by-step explanation:
the side opposite to the largest angle is also the largest side
ex:
the side opposite to mW is XY
Pythagorean theory 2in 4in
what is the y intercept of f(x)=(1/2)x?
Answer: C (0,1)
Step-by-step explanation:
The y intercept of a function is when it's x coordinate is zero, so input 0 into the function and solve for f(x)
f(0) = (1/2)^x
f(0) = (1/2)^0
f(0) = 1 Any number raised to zero is 1 so the y intercept has to be 1.
Out of the 800 students enrolled in a recreational
flag-football program, 32% are seventh graders.
How many students in the program are seventh
graders?
sum1 helpppp ASAPPPPPPPP
what do we mean by "Elegance Of Mathematical Proof"?
Answer:
Mathematical beauty is the aesthetic pleasure typically derived from the abstractness, purity, simplicity, depth or orderliness of mathematics.[1] Mathematicians often express this pleasure by describing mathematics (or, at least, some aspect of mathematics) as beautiful. They might also describe mathematics as an art form (e.g., a position taken by G. H. Hardy[2]) or, at a minimum, as a creative activity. Comparisons are often made with music and poetry.
For what values of k does the function y = cos(kt) satisfy the differential equation 81y'' = â16y? (Enter your answers as a comma-separated list.)K = ______
Answer:
16/81
Step-by-step explanation:
Given the expression, 81y'' = -16y where y = coskt,
We want to know the value of k that satisfies the expression
y' = -ksinkt
y" = -k²coskt
Substitute y and y" into the expression given;
81y'' = -16y
81(-k²coskt) = -16(kcoskt)
-81k = -16
Divide both sides by -81
-81k/-81 = -16/-81
k = 16/81
Hence the value of k is 16/81
How many terms are in the expression below:3x - 6 + 4b + 5 + 7 - 2x
Answer:
3
Step-by-step explanation:
once you combine like terms you only have 3 terms
Rectangle WXYZ was dilated using the rule D, z 12/5
What’s is W’ X’
O8units
O10units
O12units
O14units
Answer: C, 12 units on edge
Step-by-step explanation:
Brainliest if you provide a valid explanation and answer!
Please don't steal my points, you guys. I really need help!
Q: The circle below has a circumference of 34.56 cm. Find the diameter.
Answer:
11cm = diameter.
c=circumference
d=diameter
π=3.14
r=half of diameter
34.56
C=2πr
d=2r
Solving for d (diameter)
d=C
π=34.56
π≈11.00079cm
rounded = 11cm!
You promised brainlest! Please!!
Step-by-step explanation:
Answer:
11.0008
Step-by-step explanation:
“Since we know circumference and diameter are related by π, we can use π to find diameter if we know circumference”
Equations:
C = πd
C/π = d
Therefore:
34.56 = pi(d)
34.56/3.14159265359 = 11.000789..........
u = b + ak
Solve for a
Thanks
Answer:
a = (u-b)/k
Step-by-step explanation:
to solve for a means to leave a on its own
u = b + ak
let’s subtract b from both sides to leave a on its own
u - b = ak
to leave a on its own we’ll divide both sides by k
a = (u-b)/k
1 + 1 = ?
just so you can get some points ;)
Answer:
2
Step-by-step explanation:
no explanation lol hahahahha
Answer:
tyyyy
Step-by-step explanation:
Solve the system by substitution.
y = -7x. y = -5x + 10
Answer: (-5,35)
Step-by-step explanation:
-7x=-5x+10
Get x on one side by adding 5x
-2x=10
Simplify by dividing by -2
X=-5
Substitute into y=-7x
Y=-7(-5)
Simplify
Y=35
What is 1248x16=______
Guys please help
Have a good one!
Answer:
19968
Step-by-step explanation:
Use the distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Ethan’s water bottle is 2/1 full. Olivia’s water bottle is 6/2 full. Who has a more full water bottle?
Answer:
Olivia
Step-by-step explanation
2/1 = 2 water bottle. 6/2 = 3 water bottle.
The value of this expression is 30.
7 X 4-2+8=2
If parentheses are put around 2 + 8, what is the value of the expression?
Answer:
x= - 1/7
Step-by-step explanation:
 I need help the answers that are there are
SSS
SAS
ASA
AAS
HL and
Not enough information
Answer:
5 is congruent by HL this is because both have a right angle and a congruent side
6 you do not have enough information.
(3x + 3) degrees
Hiw many degrees is it?
Answer:
Step-by-step explanation:
whats the probability of me getting a blue if there are 3 yellow 6 blue and 5 pink
HELP ME PLZ
Answer:
probability is 3/7
Step-by-step explanation:
add all the colours together.
3 + 6 + 5 = 14
put the colour u want over the total number, to make a fraction then simplify
I hope it's right
Select all irrational numbers.
Answer:
B C F
Step-by-step explanation:
If you reduce those answer and try to find the square roots, the decimals are terminating and never ending, while the others are perfect squares.