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)
WILL GIVE BRAINLIEST
15 POINTS
Determine how the triangles can be proven similar.
AA~
SSS~
SAS~
Not similar
AA~ as both the triangles are congruent because of vertically opposite angles and alternative interior angles .
Can someone please answer this ASAP?
Answer:
Letter C
Step-by-step explanation:
Given:
[tex]5a+18<-27[/tex]
Subtract 18 from both sides
[tex]5a<-45[/tex]
Divide 5 from both sides to get [tex]a[/tex] alone
[tex]a<-9[/tex]
Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".
Hope this is helpful
COMPUTE THE PROBABILITY. If, in a typical work day, a staff member receives 34 emails, what is the probabilitythat in a 5-day work week she will receive less than 175 emails?
A father and his son decide to sum their ages. The sum is equal to sixty years. Six years ago, the age of the father was five times the age of his son. Six years the son's age will be?
I will mark as brainlist plzzzzz
Solve the question I know the answer but i cannot solve it..
I can tell you that ans is 16.8 years but solve...
Answer:
20
Step-by-step explanation:
Let father's age be x
let son's age be y
x + y = 60 - (eq 1)
Six years ago,
(x - 6) = 5(y - 6) -(eq 2)
From (1)
x = 60-y
Therefore, 60-y - 6= 5y - 30
y = 14
in six years, y = 20
Find the image of (−3, 8) after a 270∘ rotation counterclockwise about the origin.
Answer:
(8, 3)
Step-by-step explanation:
For a 270° rotation, the rule is that (x, y) turns into (y, -x)
In (-3, 8), -3 represents x and 8 represents y.
Our answer is then (y, -x), or (8, 3)
How many three letter permutations are possible from the letters in the word ACTION? ("ACT" is not the same as "CAT" so order is important.)
Answer:
120
Step-by-step explanation:
formula:
[tex]\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120[/tex]
The number of 3 letter words formed from the word ACTION is 120.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
The given word is ACTION.
We need to form a three letter words.
Here, 6P3 = 6!/(6-3)!
= 6×5×4×3!/3!
= 6×5×4
= 120 ways
Therefore, the number of possible words formed from the word ACTION is 120.
To learn more about the permutation visit:
https://brainly.com/question/3867157.
#SPJ3
what number must you add to complete the square? x^2+8x=9
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{x^2 + 8x = 9}[/tex]
[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]
[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]
[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]
[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]
[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]
[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]
[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]
[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]
[tex]\large\textsf{But, your overall answer should be:}[/tex]
[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]
[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
We know
(a+b)²=a²+2ab+b²To get 2ab satisfied
2ab=8x2x(b)=8xb=4b²=1616 must be added on both sides to get (x+4)²
what is 72 Times 27 equal
Answer:
1,944
Step-by-step explanation:
72x27=1,944
Have a wonderful day or night
Answer
1944
Step-by-step explanation:
72*27 = 1944
the image above should clarify how you're actually supposed to do it! couldn't submit this without 20 characters :,)
N/A questions does not exist
Answer:
ok
Step-by-step explanation:
why did you put it
20 POINT MATH PROBLEM HELP PLEASE
Answer:
b. x=22
Step-by-step explanation:
3x-23=43
3x=43+23
3x=66
x=22
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.
Graph the following inequality. Then click to show the correct graph.
3x - 2y ≤ 6
Answer:
We want to graph the inequality:
3x - 2y ≤ 6
The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.
3x ≤ 6 + 2y
3x - 6 ≤ 2y
(3/2)x - 6/2 ≤ y
(3/2)x - 3 ≤ y
or:
y ≥ (3/2)x - 3
Because we have the symbol ≥
The points on the line are solutions, then the first part is to graph the line:
y = (3/2)*x - 3
Next, we have:
y equal to or larger than (3/2)*x - 3
Then we need to shade all the region above that line.
The graph can be seen below.
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $370 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $10,570. How many first class tickets did she buy? How many coach tickets did she buy?
Answer:
She bought 7 coach tickets and 7 first class tickets.
Step-by-step explanation:
1. Set the equations up using y to represent first class and x to represent coach:
x + y = 14
370x + 1140y = 10,570
2. Use a graphing calculator to graph the equations and find the point where they intersect. The intersection point will tell you the number bought:
Answer:
Sarah bought y = 8 first class tickets.
Step-by-step explanation:
You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
Hope this answer helps you :)
Have a great day
Mark brainliest
The base of a 40-foot ladder is placed 24 feet away from a wall. What is the
height of the wall if the other end of the ladder reaches the top of it?
A. 32 ft
B. 64 ft
C. 16 ft
D. 26 ft
Answer:
A. 32 ft
Step-by-step explanation:
Pythagoras for right-angled triangles (as that is what this is here - the floor from the base of the ladder to the wall, the wall up to where the ladder ends, and the ladder itself as the Hypotenuse).
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
so, we know,
c = 40 ft
a = 24 ft
we are looking for B
=>
40² = 24² + b²
1600 = 576 + b²
1024 = b²
b = 32 ft
Distribution of Sample Proportions
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a) The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b) The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c) The sample proportion of drawing an orange candy is not a binomial distribution.
d) The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
Answer:
Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times
Step-by-step explanation:
The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.
The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.
hence, option B is correct
In a completely randomized design, experimental units were used for the first treatment, for the second treatment, and for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total At a level of significance, is there a significant difference between the treatments? The -value is - Select your answer - What is your conclusion?
Answer: hello your question is poorly written attached below is the complete question
answer:
i) Degrees of freedom : 2, 46 , 44
ii) Mean square : 650 , 13.4
iii) F = 47.65
Step-by-step explanation:
First treatment = 12 experimental units
Second treatment = 15 experimental units
Third treatment = 20 experimental units
completing the analysis
i) Degree of freedom
for Treatments = 3 - 1 = 2
for Total = ( 12 + 15 + 20 ) - 1 = 47 - 1 = 46
for error = 46 -2 = 44
ii) Mean square
for treatments = sum of squares / degree of freedom = 1300/2 = 650
for error = 600 / 44 = 13.64
iii) F
= Ms of treatment / Ms of error
= 650 / 13.64 = 47.65
milligrams would you administer?
17. How many milligrams of Rocephin are left in a vial containing
Rocephin 2 grams after 750 milligrams are removed?
Answer:
1250 miligrams.
Step-by-step explanation:
Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.
A jacket costs £72 after
a 10% price cut. What
was the original price?
Answer:
£80
Step-by-step explanation:
80-(10%x80)=72. hope this helps
There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 110 females, 70 are out-of-state students. If two of these 200 students are selected at random, what is the probability that both of them are out-of-state students?
Your manager is trying to determine what forecasting method to use. Based upon the following historical data, calculate the following forecast and specify what procedure you would utilize.MONTH DEMANDJanuary 59February 65March 65April 67May 71June 70July 77August 77September 77October 75November 83December 81Calculate the simple three-month moving average forecast for April through December. What is the forecast for December? (Round your answer to 2 decimal places)a) 78.33b) 74.67c) 76.33d) 77.00Calculate the weighted three-month moving average using weights of 0.50 (t-1), 0.30 (t-2), and 0.20 (t-3) for April through December. What is the forecast for December? (Round your answer to 2 decimal places)a) 79.40b) 77.00c) 76.00d) 73.70Calculate the single exponential smoothing forecast for February through December using an initial forecast (F1=F-January) of 63. (Use alpha of 0.2) What is the forecast for December? (Round your answer to 2 decimal places) a) 66.30b) 74.37c) 72.22d) 71.52Calculate the mean absolute deviation (MAD) for the forecasts made by each technique in April through December. Which forecasting method do you prefer? (Round your answer to 2 decimal places)a) 3-month moving average (4.15)b) 3-month weighted moving average (3.99)c) Exponential smoothing method (alpha=0.30) (3.58)d) 3-month weighted moving average (3.58)
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file.
For question 1:
Forecast for December:
[tex]\to \frac{(77+75+83)}{3} \\\\ \to 78.33[/tex]
For question 2:
Forecast for December:
[tex]\to (77 \times .5+75 \times 3+83 \times .2) \\\\\to 79.40[/tex]
For question 3:
Forecast for December:
[tex]\to 72.22+(83-72.22)\times 0.2 \\\\\to 74.37[/tex]
For question 4:
So, the 3-month weighted moving average (3.58)
The product of 7 , and a number increased by 8 , is 105. What is the number?
Answer:
97
Step-by-step explanation:
Plsssss help I’ll put you as a brainiest answer
Answer:
your answer would probably be 20 bc I times 5 then times 2 then I got 10. Then I did 10 X 2 and I got 20
what does $42,690e(0.03)(20)=
Answer:
77,786.251
Step-by-step explanation:
Use the diagram to solve. What is 135% of 280?
Step-by-step explanation:
[tex] \frac{135}{100} \times \frac{280}{1} = 378[/tex]
i need help on all of these please help i’ll mark brainliest!!!
-11 + x = 7X - 5
I don't know what your looking for, so be more specific, but I'm assuming your solving for x, so that's would be
x = -1
Answer:
We can simply solve all of these by simplifying them :)
1 . 13 - 4x = 1 - x =
x = 4
2 . 7a - 3 = 3 + 6a =
a = 6
3 . 5 + 2x = -2x + 6 =
x = 1/4
4 . -11 + x = 7x - 5 =
x = -1
If a line has an x-intercept at =
3 and a y-intercept at y = – 5, find its equation in the form
y = mx + b.
y
Answer:
y = 5/3x - 5
Step-by-step explanation:
y = mx + b
b = y-intercept
m = slope
y = mx - 5
plug in the x-intercept
0 = m(3) - 5
5 = 3m
m = 5/3
y = 5/3x - 5
graph is below, both intercepts are on the line
Marina spent 1/5 of her money on a book. If she had $80 left after she brought the book, how much money did she have originally?
Answer:
Marina had 50$ originally
Step-by-step explanation:
80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate
Answer:
$100
Step-by-step explanation:
Step 1, setting up an equation:
If Marina spent [tex]\frac{1}{5}[/tex] of her money, she has [tex]\frac{4}{5}[/tex] of her money remaining. We also are given that she has $80 left. We can set her initial total amount of money as x to solve this problem:
[tex]\frac{4}{5}x=80[/tex]
Step 2, solving for x:
[tex]\frac{4}{5}x=80\\\\4x=400\\\\x=100[/tex]
We have set x as her original amount of money, so we have the answer!
Marina originally had [tex]\fbox{100}[/tex] dollars.
I hope this helps! Let me know if you have any questions :)
To simplify 1/4(8)^2(12), Rémy wrote 2^2•12=48. Find and correct Remy’s error.
Answer:
work out 8^2 and then ×1/4
[tex] \frac{1}{4} (8)^{2} = 16 \: not \: 8[/tex]
therefore
[tex] \frac{1}{4} ({8})^{2} (12) = 192[/tex]
PLEASE HELP MEEEE I really need it!!!
the input values are the x-values.
true or false
false
Step-by-step explanation:
ita really false yoooooooooooooo
f(x) = 4 - 2x – 2x3
g(x) = x² + 7x-9
Find f(x) + g(x).
Answer:
-2x^3+x^2+5x-5
Step-by-step explanation:
f(x) = 4 - 2x – 2x^3
g(x) = x² + 7x-9
f(x) + g(x)=4 - 2x – 2x^3+ x² + 7x-9
Combine like terms
f(x) + g(x) = -2x^3+x^2+5x-5