Answer:
500m square
Step-by-step explanation:
first we know that to find the area of something we have to multiply so I did 25×20 and i got 500
a) One of two boxes contain 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a) Given that the ball selected is red, what is the probability it was selected from the first box? b) Given that the ball selected is red, what is the probability it was selected from the second box? c) Compare the results in parts a) and b) and explain the answer.
Answer:
The answer is below
Step-by-step explanation:
Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.
Given that:
Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3
Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]
Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]
a)
Given the ball is red, the probability it was selected from the first box is:
[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]
b)
Given the ball is red, the probability it was selected from the second box is:
[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]
c)
We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.
The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.
Given :
One of the two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2.a) The probability that the ball selected is red and it is selected from the first box is:
[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_1|R)=\dfrac{1}{2}[/tex]
b) The probability that the ball selected is red and it is selected from the second box is:
[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_2|R)=\dfrac{1}{2}[/tex]
c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.
For more information, refer to the link given below:
https://brainly.com/question/795909
help guyss willmark as brainiest
Answer:y+2=7/3(x-2)
Step-by-step explanation:
You plug the x, y and the slope on the point-slope formula, which is y-y1=m(x-x1)
Y1 is -2, x1 is 2 and slope(m) is 7/3
Answer: y+2=7/3(x-2)
Step-by-step explanation: I used a coordinate plane
Plz mark me brainliest
What is the answer for x²+9x-10
(fractions 5th grade) 3/9 + 2/3
Answer:
1
Step-by-step explanation:
Simplify 3/9 by 3 -> 1/3
Now that both fractions have the same denominator, you can add them.
1/3 + 2/3 = 3/3 or 1
At the We-Pack Shipping, the workers can unload 28 trucks in 7 hours. Which of the following is a correct unit rate for this situation?
1 truck per hour
4 hours per truck
1 over 4. of a truck per hour
1 over 4. of an hour per truck
Answer:
4 trucks per hour
Step-by-step explanation:
You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4
please help a bro brainiest
3^-x=243
Answer:
x=-240
Step-by-step explanation:
Answer: [tex]x = - 5[/tex]
Step-by-step explanation:
[tex]3^{-x} = 243[/tex]
[tex]3^{-x} = 3^{5}[/tex]
[tex]-x = 5[/tex]
[tex]x = -5[/tex]
A teacher is making 7 identical supply boxes
for each table in her classroom. Each box
contains some pencils and 11 pens. The
teacher uses a total of 182 pencils and pens.
Determine the number of pencils that are in
each box.
Answer:
26
Step-by-step explanation:
182 pencils devided by 7 identical boxes
182÷7
=26 pencils are in each box
Answer:
15 pencils in each box
Step-by-step explanation:
If each box has 11 pens,then there are 77 pens
In total 182 pencils and pens
182-77 = 105 (105 pencils)
105/7 = 15
15x7 = 105
11x7 = 77
105 +77 = 182
What is (6 x 10) + 9
Answer:
(60) + 9 = 69
Step-by-step explanation:
HOPE I HELPED, IM NEW
Answer:
Since if you know your multiplication tables 10x6= 60+9=69
Step-by-step explanation:
Answer 69
Please help it’s for homework
Find the slope of the line that passes through (10, 10) and (8, 11).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
= -1/2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (11-10)/(8-10)
= 1/-2
= -1/2
Bo is making a step stool for his bathroom sink that is shaped like a rectangular prism.
What is the total surface area of the step stool?
Story Problem:
Avery purchased 4 tacos and 2 burritos and her total cost was $21. Sasha purchased 4 tacos and 3 burritos
and her total cost was $26.50. What is the price of one burrito?
Answer:
Step-by-step explanation:
Let tacos be x and burritos be y
So, Avery purchased 4x+2y = 21
Sasha purchased 4x+3y = 26.5
Solving the 2 eqns:
4x+2y=21
-4x-3y=-26.5
-y=-5.5
The cost of one burrito is $5.5
help please. pleasee i will mark brain please
Answer:
A=3
B=3
C=2.5
D=5
E=1
F=2
G=4
Here you go! Happy to help!
Step-by-step explanation:
Six more than five times a number
Answer:
? = 5n + 6
Explanation:
Answer:
5x + 6
Step-by-step explanation:
Let the number = x. 5 times x = 5x. So, the equation 5x + 6.
The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A. interquartile range
B. mean
C. median
D. range
Tom purchased 5 football games for 10.88 each and 5 pokemon games for 11.87 each with 6 20 bills. How much change did tom get
Answer:
5*10.88 + 5*11.87=113.75
120-113.75=6.25
$6.25
Step-by-step explanation:
47) How much does 75 gallons of water weigh
Answer:
It weighs 850 pounds
Step-by-step explanation:
Have a nice day
There are less 32 students in Mr. B’s math class
Answer:
-32????
Step-by-step explanation:
I don't see an actual question here, so my three answers that I got from this post are:
-32
<32
>-32
Which region indicates the intersection of the system 2x + 3y > 3 and y sx - 1?
Answer:
I think Region 1 is my answer, because the first equation is -1.1 and thats the closest point
Frank is organizing his movie collection. He sees that 7 of his 25 movies are comedies. What percent of frank's movies are comedies?
Answer:
Step-by-step explanation:
if Frank has 25 movies and 7 are comedies
25 movies...........................100%
7 comedies represents........?%
=(7*100)/25=28% are comedies
Directions: Solve for x. Round to the nearest tenth
1.
х
63°
16
he FDAL level for insect filth in chocolate is 0.6 insect fragments (larvae, eggs, body parts, and so on) per grams. Suppose that there is an average of 0.57 insect fragments per gram of chocolate bar and the distribution is following a Poisson distribution. Compute the probabilities that the number of insect fragments in a 50-gram sample of chocolate bar are:
Answer:
Step-by-step explanation:
[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]
[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]
[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]
[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]
[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]
∴
[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]
How many samples of size 2 can be formed from population of size 5
Answer:
2
Step-by-step explanation:
On a blueprint, a 1 in. scale corresponds to 7 ft. To show a room with actual dimensions 35 ft wide by 16 ft long, what dimensions (in inches) should be shown on the blueprint?
Robin made a cuboid of plasticine. Length, breadth, and height of the cuboid are
3 cm, 2 cm, 3 cm respectively. How many such cuboids will he need to make a
perfect cube?
Answer:
75
Step-by-step explanation:
From the given equation
a) Copy and complete the table
b) Draw the graph of the given equation
c) Find the coordinates of y-intercep
Answer:
See attacheda)
The table:
x | -3 | -2 | -1 | 0 | 1 | 2 | 3y | -5 | -3 | -1 | 1 | 3 | 5 | 7b)
The graph is picturedc)
The y-intercept has coordinates of (0, 1)Half of my weight is equal 3/4 of my brother's weight. If my brother weighs 64kg; what is my weight
Answer:
96kg
Step-by-step explanation:
3/4 of 64 is 48
2 × 48 = 96kg
I have a cage with cats and birds. there are 12 heads and 32 feet. how many
birds are there
12x4=48
48-32=16
4-2=2
16 divided by 2=8 birds
Answer:
4 cats, 8 birds
Step-by-step explanation:
make a system of equations and solve.
What is the slope of line m?
On a coordinate plane, a straight line goes through (negative 2, 1), (0, 0), and (2, negative 1).
Given:
A straight line goes through (-2,1), (0,0), and (2,-1).
To find:
The slope of the given line.
Solution:
Slope formula
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from the given points.
The line goes through (-2,1) and (0,0). So, the slope of the line is
[tex]m=\dfrac{0-1}{0-(-2)}[/tex]
[tex]m=\dfrac{-1}{2}[/tex]
Therefore, the slope of the line is [tex]m=-\dfrac{1}{2}[/tex].
Answer:
its 2/3
Step-by-step explanation:
. You need 1/12 yard of ribbon to make one bow. You have 5/6 yard of ribbon. How many bows are you able to make with the ribbon you have? *
Answer:
You can make 14 with some ribbon left over.
Step-by-step explanation: