Answer:
[tex]Probability = \frac{4}{15}[/tex]
Step-by-step explanation:
B1 = first bag
B2= second bag
B3 = third bag
Let A = ball drawn is red
Since, there are three bags.
Probability of choosing one bag= P(B1) = P(B2) = P(B3) = 1/3.
From B1: Total balls = 10
3 red + 7 black balls.
Probability of drawing 1 red ball from it , P(A) = 3/10.
From B2: Total balls = 10
8 red + 2 black
Probability of drawing 1 red ball is, P(A) = 8/10
From B3 : Total Balls = 10
4 red + 6 black
Probability of drawing 1 red ball, P(A) = 4/10 .
To find Probability given that the ball drawn is red, that the ball is drawn from the third bag by Bayes' rule.
That is , P(B3|A)
[tex]=\frac{\frac{1}{3} \times \frac{4}{10}} { \frac{1}{3} \times \frac{3}{10} + \frac{1}{3} \times\frac{8}{10} + \frac{1}{3} \times \frac{4}{10}}[/tex]
[tex]=\frac{4}{30} \times \frac{30}{15}\\\\=\frac{4}{15}[/tex]
Therefore, the probability that it is drawn from the third bag is 4/15.
Answer:
4/15
Step-by-step explanation:
Solution of conditional probability problem:
Given:
Bags (3R,7B), (8R,2B), (4R,6B)
Let
P(R,i) = probability of drawing a red AND from bag i
P(R, 1) = 3/10 * (1/3) = 3/30
P(R, 2) = 8/10 * (1/3) = 8/30
P(R, 3) = 4/10 * (1/3) = 4/30
Let
Let P(R) = probability of drawing a red from any bag
P(R) = sum P(R,i) for i = 1 to 3 using the addition rule
= 3/30 + 8/30 + 4/30
= 15/30
= 1 / 2
Conditional Probability of drawing from the third bag GIVEN that it is a red
= P(3 | R)
= P(R, 3) / P(R)
= 4/30 / (1/2)
= 8/30
= 4 / 15
(Since all bags contain 10 balls, by intuition, 4 red from third / 15 total red = 4/15)
One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes together.
Which equation could be used to find the number of lattes, x, sold at café
Answer:
x=6
Step-by-step explanation:
ANYONE KNOW THE ANSWER????
9514 1404 393
Answer:
(c) x = 10
Step-by-step explanation:
The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.
90 = 10x -10
100 = 10x . . . . . add 10
10 = x . . . . . . . . divide by 10
The value of x is 10.
In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?
Answer:
C. L LAM = L LBM
Step-by-step explanation:
__________
How many dimensions does a plane have?
O
A. Three
о
B. Zero
O C. Two
D. One
A Plane does not have one dimensions.
What is Plane?A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalisation of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.
A plane doesn't only have one dimension, though. The two dimensions of a plane.
A plane is a flat, infinitesimally long two-dimensional surface.
The plane can occasionally be extended into three dimensions.
Consequently, a plane has more than one dimension.
Learn more about Plane here:
https://brainly.com/question/1962726
#SPJ5
Part 1: Solve for the slope of the line inside of the scatter plot
Answer:
The slope is equal to 5.
Step-by-step explanation:
Point 1 (0, 5)
Point 2 (3, 20)
m=y2-y1/x2-x1
m=5-20/0-3
m=-15/-3=
m=5
What is 15 5/7 - 6 4/5
Answer:
8.9
Step-by-step explanation:
15.71428571-6.8=8.914285714
We round of to one significant figure because its addition n the lowest is 6.8
Answer:
[tex]8\frac{32}{35}[/tex]
Step-by-step explanation:
20. What is the next term in the following sequence:
Please hurry
9514 1404 393
Answer:
(a) -1215/32
Step-by-step explanation:
The sequence is apparently geometric. The common ratio is ...
(-135/2)/90 = -135/180 = -3/4
Then the next term is ...
(405/8)(-3/4) = -1215/32
Answer:
abcdefg omlllfffg
Step-by-step explanation:
Question 10 (1 point) Find the volume of the figure. 2.5 ft 3 ft 2 ft 6 ft. What is the volume of the figure?
Answer:
I don’t know what type of figure you are talking about. But if there is supposed to be a picture attached, we see nothing
Step-by-step explanation:
You could repost this question though, I’ll be glad to help on that other question!
can someone help me with this?
Answer: 22
Step-by-step explanation: 44:2=22
I know the answer I just need a step by step explain. The answer is $1000
sorry, I can help with this question but the question is cut off on the right, reply to me with the full question and id be happy to help :)
Helpppppppp thank u so much
Answer:
acute triangle
Step-by-step explanation:
First find the other angle
The sum of the angles is 180
x+65+60 = 180
x + 125 = 180
x = 180-125
x = 55
All three angles are different so all three side lengths are different
All the angles are less than 90 so all the angles are acute
This is an acute scalene triangle
Answer:
im is 55 so the only correct option is c
Step-by-step explanation:
hope this helps! have a great day!!
Helppppppp
Which choice is equivalent to the product below
Step-by-step explanation:
jkkkkkkkkkkkkkkkkkkkkk
Answer:
[tex]2 \sqrt{35} [/tex]
Solve the inequality 4x – 7 < 5
Answer:
x < 3
Step-by-step explanation:
Given
4x - 7 < 5 ( add 7 to both sides )
4x < 12 ( divide both sides by 4 )
x < 3
1. A photograph measures eleven inches wide and fourteen inches long. The picture is enlarged to fit on a wall. If the new larger picture is 231 inches wide, how long is it?
234 inches
294 inches
181.5 inches
412.5 inches
.
Answer:
294 in
Step-by-step explanation:
set a ratio w/l
11/14
set it equal to 231/x
x = length
[tex]\frac{11}{14}[/tex] = [tex]\frac{231}{x}[/tex]
cross multiply
11x = 3234
divide by 11
x = 294
Hello, I need help with this math question please
Option B:- x = -3/2 or x = 2
100 Brainly points!! Need help ASAP :)
In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B’. What is the scale factor of dilation?
A. 1
B. 2
C. 0.5
D. -0.5
Answer:
B
Step-by-step explanation:
I'm not really shure tho
Answer:
D. -0.5
Step-by-step explanation:
AB dilated by scale factor -0.5 to produce AB'.
the length of AB = 4 units and the length of AB' = 2 units, the direction is backward, so the scale factor is - 2/4 = -0.5
MATH PROBLEM 20 POINTS
I don’t really understand these
Answer:
its answer is 3rd part
ABC-FED
Hey buddy I am here to help!
angle ABC = angle FED
Hope this answer helps!
Plz mark me brainliest!
The equation represents the total resistance, r, when two resistors
whose resistances are r1 and r2 are connected in parallel. Find the total
resistance when r1 is x and r2 is x + 1.
Answer:
[tex]R = \frac{x(x+1)}{2x+1}[/tex] --- total resistance
Step-by-step explanation:
Given
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Required
Find R when
[tex]R_1 = x[/tex]
[tex]R_2 = x+1[/tex]
So, we have:
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Substitute values for both R's
[tex]\frac{1}{R} = \frac{1}{x} + \frac{1}{x+1}[/tex]
Take LCM
[tex]\frac{1}{R} = \frac{x+1+x}{x(x+1)}[/tex]
Collect like terms
[tex]\frac{1}{R} = \frac{x+x+1}{x(x+1)}[/tex]
[tex]\frac{1}{R} = \frac{2x+1}{x(x+1)}[/tex]
Inverse both sides
[tex]R = \frac{x(x+1)}{2x+1}[/tex]
Pls do this for me I am getting annoyed with this
Answer:
x = 1.7
Step-by-step explanation:
An electrician needs 4 7/10 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 9 2/5 rolls of wire?
Answer:
2 rooms
Step-by-step explanation:
Let; 4 7/10 = 47/10
9 2/5=47/5
So; if each room(1) = 47/10
47/5 should be x rooms
Equation form47/10 = 1
47/5 = x
cross multiplying
47/10x = 47/5
L.C.M = 10
10×47/10x = 10× 47/5
47x = 47 × 2
x = 47 × 2/47
x = 2
Therefore x being 9 2/5 rolls of wire will wire 2 rooms
Is 4 over 5 equals 48 over 60 a true proportion?
Answer:
0.8 you yes both of them has the same answer , so it is a true portion
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
[tex]\frac{4}{5} =\frac{48}{60}[/tex]
This is a true proportion because when you cross multiply you get the same product.
[tex]48*5=240[/tex]
[tex]4*60=240[/tex]
Which of the following expressions is equivalent to 4 to the negative 3rd power
?
Answer:
[tex]4 ^{-3}[/tex]
or
[tex]\frac{1}{4^3}[/tex]
or
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
four to the negative power of 3 is = 4⁻³
Step-by-step explanation:
The answer is A (the first one). 4 to the negative 3rd power is 4^-3
A. 11.1
B. 6.7
C. 13
D. 4.1
Answer:
C. 13Line AE & Line AD have the same in measurement.Evaluate the given equation for the indicated function values. pls help
Answer:
The answer in each numeral is:
f(4) = 28f(10) = -19f(-5) = -33f(9) = -9Step-by-step explanation:
To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:
1. f(n) = 5n + 8 f(4) = ?As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:
1. f(4) = 5*(4) + 8f(4) = 20 + 8f(4) = 28The first answer is 28, now we'll continue with the next exercises:
2. f(n) = -2n + 1f(10) = -2*(10) + 1f(10) = -20 + 1f(10) = -193. f(n) = 6n - 3f(-5) = 6*(-5) - 3f(-5) = -30 - 3f(-5) = -334. f(n) = -nf(9) = -9In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.
12y^2+12y-3y^3 = 124-(y+5)
Answer:
[tex]{ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}[/tex]
The Coffee Counter charges $8.00 per pound for Kenyan French Roast coffee and $10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for $9.00 per pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for $9.00 per pound.
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
7/7q+21= x /5q^2-45 then x=?
Answer:
x = 5q - 15
Step-by-step explanation:
[tex]\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15[/tex]
7.5 7 2/5 7.69 in order
Answer:
ok for this problem lets convert all of the number into decimals to make it easier.
7.5 is already a decimal
7 2/5 as a decimal is 7.4
7.69() is already a decimal
ok so 7.4 is lowest
7.5 is next
7.69 is highest
Answer:
In order from least to greatest is [tex]7\frac{2}{5},7.5,7.69[/tex]
Step-by-step explanation:
In order from greatest to least is the other way around
[tex]2/5 = 0.4[/tex]
So [tex]7.4[/tex]
Hope this is helpful
Find each event probability
Answer:
Event 4 (0%), Event 2 (45%), Event 3 (80%), Event 1 (100%)
Step-by-step explanation:
