Answer:
1 / 3
Step-by-step explanation:
Number of balls :
Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1
Total = 6
From two draws without replacement, probability that 2nd draw is blue :
Possibilities :
P(RB) or P(YB) or P(BB)
P(RB) = 3/6 * 2/5 = 6/30
P(YB) = 1/6 * 2/5 = 2 /30
P(BB) = 2/6 * 1/5 = 2 / 30
HENCE,
P(RB) + P(YB) + P(BB)
6/30 + 2/30 + 2/30 = 10/30 = 1/3
According to a survey, about 30% of people ages 18 and older in a city have a cat. You ask 5 randomly chosen people (ages 18 and older) whether they have a cat. What is the probability that at least 2 people have a cat? Round your answer to the nearest hundredth.
Step-by-step explanation:
When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.
However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.
We'll use the binomial distribution formula where n=4, k=4, and P=.6.
nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296
So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704. You could double check this by calculating the prob of the other 4 outcomes and then adding them together.
The probability that at least 2 people have a cat is 0.522 or 52.2%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.
The formula is:
P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]
where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).
For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).
P(2) = (5 choose 2) × 0.3² × 0.7³
P(2) = 0.252
To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.
P(≥2) = P(2) + P(3) + P(4) + P(5)
Substituting the values we get:
P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522
So, the probability that at least 2 people have a cat is 0.522 or 52.2%.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
I would like some help pleas
Answer:
Step-by-step explanation:
Student who did not play Volleyball = Students who play only hockey + students who don't play any game
= 5 + 3 = 8
Students who play hockey only = 5
Mercury is at a distance of 46213267 km from the sun. If the value of this area is rounded off to the nearest one hundred, then the result would be .
Answer:
46,213,300 km
Step-by-step explanation:
46,213,267
in the above number ;
7 = units
6 = tens
2 = hundred
3 = thousand
1 = ten thousand
2 = hundred thousand
6 = million
4 = 10 million
to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero
because 6 is greater than 5, add one to the hundred value
= 46,213,300 km
8u^8+(-21u^8)
Helpppp quick
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
Solve for R.
3/4r-3 1/4=49/16
Answer:
101/12
Step-by-step explanation:
3/4r-3 1/4=49/16
3 1/4=13/4
3/4r-13/4=49/16
3/4r=49/16+13/4
3/4r=49/16+52/16
3/4r=101/16
r=(101/16)/(3/4)
r=(101/16)(4/3)
r=101/12
Ophelia spins each of the three shown spinners once. What is the
probability that the first spinner will land on A, the second on 4, and the
third on Green? Enter your answer as a fraction in simplest form. Use/to
write your fraction,
Answer:
jaja
yo buscando y vos preguntando
Step-by-step explanation:
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Any feature increases when y-value should likewise be increased for the growth of x-values
Each table will be checked
table-1:
That we can see
-3, -2,-1 , 0, 1,2 x increase
And also -6,-3,-1,1,3,6 y increase
It increases, thus,
table-2:
That we can see
-3, -2,-1 , 0, 1,2 x increase
But between -2 and 1, it's asking
The y-values of -4,-1,1,4..... are increasing
This increases, thus,
table-3:
Which we can see
-3, -2,-1 , 0, 1,2 x increase
But y changes between -3 and -5 .....this decreases
This does not increase, thus,
table-4:
we can find that the x increase to -3, -2, -1, 0, 1,2 however y rises from 7 to 1.....
This does not increase, thus,
Answer:
B
Step-by-step explanation:
Hey there! Can someone tell me the answer please? Will give brainliest.
Answer:
24 edges, 24 vertices, 8 faces - For that weird Cylender thing.
Step-by-step explanation:
There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.
Answer:
There are 6 faces
One up one down one front one backs one right one left
12 edges and 8 ventricles
In a specific arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?
Step-by-step explanation:
everything can be found in the picture
The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180
Arithmetic sequenceThe nth term of an arithmetic sequence is expressed as:
Tn = a +(n - 1)d
where
a is the first termd is the common differencen is the number of termsIf -4 is the first term and 10 is the third term, then;
a = -4
a + d = 10
d = 10 - (-4)
d = 14
Determine the 157th term
T157 = -4 + (157 - 1)(14)
T157 = -4 + (156*14)
T157 = 2180
Hence the 157th term of the sequence is 2180
Learn more on sequence here: https://brainly.com/question/6561461
#SPJ6
6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?
Answer:
-0.0390625
Step-by-step explanation:
each is cut in half
so we do this
20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625
Q. Find the missing side
Answer:
What missing side? You're missing a picture.
(-3) x (+5)
What’s the answer to that? Someone help me please
Answer:
[tex] - 15[/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( + ) = (- )[/tex]
So,
[tex] (- 3) \times ( + 5) = - 15[/tex]
hope this helps you.
Have a nice day!
Answer:
-15
Step-by-step explanation:
(-3)*(+5) = -15
which shape has 74 sides
Answer:
Heptacontakaitetragon
I'm not sure though 'cause it ain't a shape, but that's the term for a shape that has 74 sides.
Find the value of x. please help
Answer:
x= 15
Step-by-step explanation:
Since this is an isosceles triangle, the other angle is also 5x-6
The sum of the angles of a triangle is 180
42+ 5x-6 + 5x-6 = 180
Combine like terms
10x+30 =180
Subtract 30 from each side
10x+30-30 = 180-30
10x = 150
Divide by 10
10x/10 = 150/10
x= 15
Need answer asapppp I have 10 min only!!!
Describe the behavior of the function h around its vertical asymptote at x=-6.
Answer:
B
Step-by-step explanation:
One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .
When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.
Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B
Given that f(x) = 9 − x and g(x) = x^2
Calculate
a) f(3)
b) g(−4)
Answer:
a) f(3) =6
b) g(-4) =16
Step-by-step explanation:
answer to a, substitute X with 3. which will be f(3)=9-3
=6
answer to b, substitute X with -4, which will be g(-4)=(-4)^2
=16
how many solutions -(3 - 6b) = 6b + 5
Answer:
There are no solutions
Steps :
First we expand it
[tex]-3+6b=6b+5[/tex]
Then we add 3 to both sides
[tex]-3+6b+3=6b+5+3[/tex]
Then we simplify
[tex]6b=6b+8[/tex]
Then we subtract 6b from both sides
[tex]6b-6b=6b+8-6b[/tex]
Simplify
[tex]0=8[/tex]
No solutions !
Question 15 of 25 Given any triangle ABC with corresponding side lengths a, b, and c, the law of cosines states: 6. C A O A. b^2=a^2 +c^2 - 2 ac cos(B) so O B. b^2= a^2 +c^2 - 2bccos(A) O C. b2 = a^2 -c^2 -25ccos(5) OD. b^2=a^2 -c^2 -2bccos(C)
The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
What is the law of cosine?Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is the opposite side to angle A)
We have been Given any triangle ABC with corresponding side lengths a, b, and c.
In the given triangle ABC, the sides are;
BC = a, AB = b and AC = c
Now we know as per the law of cosines for all three sides of the triangle;
c² = a² + b² - 2ab cosC
a² = b² + c² - 2bc cosA
b² = a² + c² - 2ac cosC
Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
Learn more about the law of cosines here:
https://brainly.com/question/17289163
#SPJ2
Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)
Answer:
D
Step-by-step explanation:
In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.
find the equation of the line that is parallel to y= -7x+2 and contains the point (-5,32)
Answer:
y=-7x-3
Step-by-step explanation:
y=-7x+b
32=-7(-5)+b
32=35+b
-3=b
y=-7x-3
What is the value of x?
1000
+
300
1000
O A 160°
o
B 100°
Ос
800
10
OD
50°
Answer:
x = 50
Step-by-step explanation:
The unknown arc is
360 -30-100-100 =
130
We can find the value of x
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
x = 1/2 ( 130 -30)
x = 1/2 (100)
x = 50
Simplify. x 0 yz -3
Simplify. x 0 yz -3
Answer:
y / z^3
Step-by-step explanation:
x^0 is 1 because anything to the zero power is 1
1 *y z^-3
We know a^-b = 1/a^b
y / z^3
Answer:
[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]
Step-by-step explanation:
x⁰yz-³
Any non expression raised to power of 0 equals 1.[tex] \small \sf \: 1yz {}^{ - 3} [/tex]
Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]
[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]
which ordered pair is a solution of the equation 5x-3y=-12
A) (-3,-1)
B) (-1,-2)
C) (-1,-3)
D) (-2,-1)
PLEASE EXPLAIN ANSWER
Find the midpoint of the segment with endpoints:
(9,8) and (3,5).
pls pls pls pls help!!!! for geometry final
Answer:
Step-by-step explanation:
here x1=9 y1=8 x2=3 y2=5
midpoint=(x2+x1/2 , y2+y1/2)
=(3+9/2 , 5+8/2)
=(12/2 , 13/2)
=(6 , 13/2)
wuch equation represents O AB OB. re
Answer:
The answer that is C
Step-by-step explanation:
The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.
What is the noun of press?
the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).
hope this helps. :)
have a great day! stay safe, happy, and healthy!
please help 40 points
Answer:
-2 5/9
Step-by-step explanation:
w + (-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9 - 4/3 - 2/3
Get a common denominator
-5/9 -4/3*3/3 -2/3*3/3
-5/9 -12/9 -6/9
Add
-23/9
Change to a mixed number
-2 5/9
Find all the real fourth roots of 256/2401:
a. 4/7 and 16/49
b. -4/7 and 4/7
c. 4/7, -4/7, 16/49, and -16/49
d. 4/7
Pls help I will give crown
Answer:
35 yards
Step-by-step explanation:
The formula for an area of a trapezium or trapezoid is h(a+b)/2. H is the height, and a and b are the the two opposite sides. With substitution, we get 5(6+8)2 = 70/2 = 35
Answer:
35 yd²
Step-by-step explanation:
First, you need to find the remaining side:
You need to find the bottom side of the triangle: 8-6=2 yd
Let's calculate the area of the triangle:
[tex]\frac{5*2}{2} =5[/tex] yd²
Let's calculate the area of the rectangle:
6*5 = 30 yd²
Total area: 30+5 = 35 yd²