The probability of drawing 3 tickets without replacement and getting no reds is 0.40 and with replacement is 0.36
There are total (2r + 5b + 5y) = 12 balls in the bag. The no. of ways of drawing 3 balls from the total 12 balls = C(12, 3) . And no. of ways of drawing 2r, 1b & 1y balls from the box = C(2, 1)xC(5, 1) xC(5, 1) = 50 . Further, the probability to draw the three balls such that they are of different colors
= {C(2, 1) x C(5, 1) x C(5, 1)}/C(12, 3))
= 50/220 = 5/22 .
Possible colours in group of 3: RRB, RRY, RBB, RBY, RYY, BBY, BYY, BBB, YYY
Number of ways to get the groups;
RRB, 2 x 1 x 5 =10; RRY, 2 x 1 x 5 = 10; RBB, 2 x 5 x 4 = 40; RBY, 2 x 5 x 5 = 50; RYY, 2 x 5 x 4 = 40; BBY, 5 x 4 x 5 = 10; BYY, 5 x 5 x 4 = 100; BBB, 5 x 4 x 3 = 60 and YYY 5 x 4 x 3 = 60
total of 470 possible groups of 3
a) [with replacement] We start by calculating the probability of drawing R,G,Y
given first 0, then 1, then 2, then 3, then 4, then 5 reds initially in the bag.
p(RGY|0)=0
p(RGY|1)=(1/5)(4/5)(1/5)
p(RGY|2)=(2/5)(3/5)(2/5)
p(RGY|3)=(3/5)(2/5)(3/5)
p(RGY|4)=(4/5)(1/5)(4/5)
p(RGY|5)=0
So inverting, using Bayes' That why we get that p(3|RGY)=p(RGY|3)/(p(RGY|0)+⋯+p(RGR|5)=18/(4+12+18+16)=18/50
= 0.36
(b) [without replacement] p(RGR|0)=p(RGR|1)=0
p(RGR|2)=(2/5)(3/4)(1/3)=6/60
p(RGR|3)=(3/5)(2/4)(2/3)=12/60;p(RGR|4)=(4/5)(1/4)(3/3)=12/60
So p(3|RGR)=12/(6+12+12)=12/30
= 0.40
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-2(-3)+27÷(-3)+3
i need help Asap
Answer: 0
Step-by-step explanation:
PEMDAS- Start with parentheses first.
-2(-3)= 6, 27÷(-3)= -9
Substitute these values into the equation
6-9+3=0
Answer:
0
Step-by-step explanation:
using BODMAS
-2(-3)+27÷(-3)+3
= -2(-3) -9 +3
= +6 -9 +3
= +6 -6
=0
Please help!!! Look at the attachment
Option D is the correct answer
You have 2500 ft.² of selling space you want to reserve at least 125 ft.² for each product category will carry 30% of the space will be used for isles how many categories can you carry
The most appropriate choice for percentage will be given by-
14 categories can be carried
What is Percentage?
Percentage is a ratio expressed as a percentage of 100.
Total area of selling space = \(2500 ft^2\)
Percentage of space used for isles = \(30\) %
Area of space used for isles = \(\frac{30}{100} \times 2500\)
= \(750 ft^2\)
Area of space left = \(2500 - 750\)
= \(1750 ft^2\)
Area of space reserved for each category = \(125 ft^2\)
No of categories = \(\frac{1750}{125}\)
= \(14\)
14 categories can be carried
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a teacher selects two different numbers, p and q and states that p + q = 0. which statement could be true about these two numbers?
a) both numbers are positive
b) both numbers are negative
c) one is zero and the other is positive
d) one is negative and one is positive.
Answer:
C)
Step-by-step explanation:
one is zero and one is positive. The addition symbol indicates that you are adding a positive number
i need help with my math pls someone
Answer:17°
17° is the answer
Answer:
\(x = 17\)
Step-by-step explanation:
Because of the Alternate Angle Theorem, the two parallel lines indicate that:
\((4x+7)^\circ = 75^\circ\)
Knowing this, we can solve for \(x\):
\(4x+7 = 75\\4x = 68\\x = \frac{68}{4}\\x = 17\)
How can i learned maths hardly?
Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.
Some tips that may help you learn maths quickly and efficientlyStart with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.
Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.
Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.
Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.
Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.
Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.
Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.
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i need real bad help on this question I do not understand at all
Answer: 3.525, 3.25, 3.75
Step-by-step explanation:
This makes sense because these values are all .25 or less away from 3.5
Give brainly please
Somebody please help me
Answer:
s²+r²=t² => r²=s²-t²= 27²-25²
The answer is D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
'r' and 's' are legs and 't' is the hypotenuse
The Pythagorean Theorem takes the sum of the legs, squared, and sets them equal to the hypotenuse squared.
So in this problem we could start with:
r² + 25² = 27²
r² = 27² - 25²
to get 'r' by itself we take its square root, and what we do to one side of an equation we must also do to the other side, so:
r = \(\sqrt{27^2 - 25^2 }\)
Now let us see how the same spacetime is seen in a different reference frame S′ with coordinates (x′,ct′). For concreteness, assume that S′ is moving to the right with respect to S at velocity v=0.5c a) Suppose that the origins of both frames coincide, i.e., (x,d) =(0,0) is the same event as (x′,ct′)=(0,0). An object at rest at x′=0 in frame S′ defines the ct' axis in S′. Make a spacetime diagram for the world line of this object. (1.e., draw the ct' axis in the Sreference frame.) What is the slope of this line? b) To understand were the x′ axis is in the Sframe is a little tricky, and we will do it in two steps. First consider the following experiment in the S frame. At time c′=−1 m, (event A) a light pulse leaves the origin (x′=0), travels in the positive x′ direction, and reflects off a mirror positioned at x′=1 m (event M). The reflected light goes back to where it started, at x′=0 but at some later time (event B). Draw the world lines for this round trip in the reference frame S′, and label the events A, B, and M. At what time does the light return to x′=0 ? should find that M lies on the x′ axis that I have drawn. Where do you use the fact that the speed of light is the same in both frames? (If you use this fact, you should not need to do any calculations.) If I hadn't already drawn the x′ axis for you, you could now draw it in yourseif by connecting the (common) origin with the point M. d) Now consider a stick of length 1 m at rest in frame S its endpoints are the two spacetime events (x,d)=(0,0) and (x,d)=(1m,0). Draw in these events. Are the simultaneous in frame S ? How about in frame 5 ' if not, which occurred first, in each frame?
In the reference frame S', which is moving relative to frame S, an object at rest at x' = 0 defines the ct' axis. The world line of this object in the S frame has a slope of 1/β, where β = v/c, with v being the velocity of S' relative to S.
In the S frame, the ct' axis is drawn to represent the world line of an object at rest at x' = 0 in the S' frame. The slope of this line can be determined using the Lorentz transformation equations. The time coordinate transformation is given by t = γ(t' + βx'), where γ = 1/√(1 - β^2) is the Lorentz factor. Since x' = 0 for the object at rest in S', we have t = γt'. Since the origins of both frames coincide, the slope of the world line in the S frame is 1/γ = 1/β, where β = v/c is the velocity of S' relative to S.
In the second part, we consider the round trip of a light pulse in the S frame. The pulse leaves the origin (x' = 0) at t' = -1 m, reflects off a mirror at x' = 1 m (event M), and returns to x' = 0 at some later time (event B). The fact that the speed of light is the same in both frames means that the world lines of the light pulse in the S' frame are at 45-degree angles to the ct' axis. Since the reflection occurs at the same location in both frames, event M lies on the x' axis drawn in the S frame. Therefore, the x' axis can be drawn by connecting the common origin with point M.
In the final part, the events (x,d) = (0,0) and (x,d) = (1 m,0) representing the endpoints of a stick at rest in frame S are plotted. In frame S, these events are simultaneous, occurring at the same time coordinate. However, in frame S', due to the relativity of simultaneity, these events are not simultaneous. The event (x',ct') = (0,0) occurs first, followed by (x',ct') = (1 m,0). The ordering of events depends on the reference frame and is relative to the observer's perspective.
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3(2x) + 4y(5)
what is the equivalent fraction
hurry please .
Answer:
6+20y
y=_14
Step-by-step explanation:
6+20y
y=_14
A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use a 0.050.05 significance level to test the claim that under the same circumstances, 2727% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
Answer:
The null hypothesis: \(\mathbf{H_o: p=0.27}\)
The alternative hypothesis: \(\mathbf{H_1: p \neq 0.27}\)
Test statistics : z = −2.30
P-value: = 0.02144
Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.
Conclusion: We accept the alternative hypothesis and conclude that under the same circumstances the proportion of offspring peas will be yellow is not equal to 0.27
Step-by-step explanation:
From the given information:
Let's state the null and the alternative hypothesis;
Since The claim is that 27% of the offspring peas will be yellow.
The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.
i.e
\(\mathbf{H_o: p=0.27}\)
The alternative hypothesis state that the proportion of offspring peas will be yellow is not equal to 0.27
\(\mathbf{H_1: p \neq 0.27}\)
The test statistics:
we are given 437 green peas and 129 yellow apples;
Hence;
\(\hat p = \dfrac{x}{n}\)
where ;
\(\hat p\) = sample proportion
x = number of success
n = total number of the sample size
\(\hat p = \dfrac{129}{437+129}\)
\(\hat p = \dfrac{129}{566}\)
\(\mathbf{\hat p = 0.2279}\)
Now; the test statistics can be computed as :
\(z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n} } }\)
\(z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566} } }\)
\(z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566} } }\)
\(z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566} } }\)
\(z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }\)
\(z = \dfrac {-0.043 }{0.01866} }\)
z = −2.30
C. P-value
P-value = P(Z < z)
P-value = P(Z< -2.30)
By using the P-value method and the normal distribution as an approximation to the binomial distribution.
from the table of standard normal distribution
move left until the first column is reached. Note the value as –2.0
move upward until the top row is reached. Note the value as 0.30
find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of
z = -2.30
P- value = 2P(z ≤ -2.30)
P-value = 2 × 0.01072
P - value = 0.02144
Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.
Conclusion: We accept the alternative hypothesis and conclude that under the same circumstances the proportion of offspring peas will be yellow is not equal to 0.27
the average age of everyone in the class is an example of what type of statistics?
Answer: descriptive statistics
Step-by-step explanation: The average age of everyone in the class is an example of descriptive statistics.
Select the TWO numbers that have a 4 in the thousandths place. *
Answer:
54,436.004 and 247,892.984
Step-by-step explanation:
Answer:
third and fourth
Step-by-step explanation:
Pls show me the work or how u got it
Answer:
x = 18
Step-by-step explanation:
use proportions. line up the sides based on the congruent angles. the sides opposite the singles line angle. = the sides opposite the double angle sides.
40/30 = 24/x
40x = 720
divide both sides by 40
x = 18
Hello!, im a little stuck on this
Answer:
61 seats.
Step-by-step explanation:
This is an example of an arithmetic sequence.
The formula for this is an = a + (n - 1)d
Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.
We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.
a19 = 25 + (19 - 1) * 2
a19 = 25 + 18 * 2
a19 = 25 + 36
a19 = 61
So, there are 61 seats in the 19th row.
Hope this helps!
Answer:
i think 61 i hope im right
Step-by-step explanation:
In a rectangle the ratio of the length to the width is 5/6. If the width is 30, find the length.
Answer:
the length of the rectangle is 25
\(\huge{\textbf{\textsf{{\color{navy}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}\)
let length of the rectangle be x
so, from the question
\( \frac{5}{6} = \frac{x}{30} \\ \)
by cross multiplication,
\(150 = 6x \\ x = \frac{150}{6} \\ x = 25\)
x = 25.ThanksHope it helpsLuis is paid 245 per week plus a 12.5% commission on all sales over $500.his sales last week were totaled 1,340. What is his total earnings
Answer: 12.5% of 1,340 is 167.5 so Luis made $412.50
On average, Caryl's school bus arrives on time, although sometimes it is a bit early or late. If the arrival times are distributed on a normal curve, which of the following statistics would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day?
a. median
b. mean
c. standard deviation
d. correlation coefficient
If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.
The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.
The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.
Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.
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50 POINTS I NEED HELP!!!!!! I will mark the brainliest!!!
A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper
A. Use the graph below to justify the lead executive’s statement
B. Determine the approximate year that the two ad revenues were equal
Answer:
The approximate year that the two ad revenues were equal is halfway
Step-by-step explanation:
The square footage and monthly rental of 10 rental of 10 similar one-bedroom apartments yield the linear regression y=0.775x+950.25, where x represents the square footage of the apartment and y represents the monthly rental price. Grace can afford $1,500 per month rent. Using the equation, what size apartment should she expect to be able to rent for that price? Explain work in a sentence. :)
Answer:
Grace can expect to rent an apartment with a size of approximately 710.32 square feet for $1,500 per month based on the given linear regression equation.
Step-by-step explanation:
The given linear regression equation is y=0.775x+950.25, where x represents the square footage of the apartment and y represents the monthly rental price. To find the size of the apartment Grace can expect to rent for $1,500 per month, we can substitute y with 1,500 in the equation and solve for x:
1,500 = 0.775x + 950.25
0.775x = 1,500 - 950.25
0.775x = 549.75
x = 710.32
Therefore, Grace can expect to rent an apartment with a size of approximately 710.32 square feet for $1,500 per month based on the given linear regression equation.
A compact disc cover is 14 centimeters (cm) long, 12.4cm wide, and 1 cm deep. Which of the following represents the surface area of the cover?
Answer:
SA= 2(l x w) |+2(l x h)+2(h x w)
= 2(14 x 12.4) +2(14 x 1)+2(1x 12.4)
=2(173.6)+2(14)+2(12.4)
=347.2|+28+24.8
Surface area is: 400 cm square
Step-by-step explanation:
What is the Pythagorean Theorem? Provide the equation and an explanation as to what it means.
Answer:
The Pythagorean Theorem is a squared + b squared = c squared. It is used to find out a side of a triangle if you already know the two others. C is always the H=hypotenuse, while the other two sides are a and b.
Answer: a^2+b^2 (factored) = c^2
Step-by-step explanation:
This only helps if you are solving for the hypotenuse.
Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.
Answer:
19/5
Step-by-step explanation:
Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.
Para hacer esto, agregamos todas las millas recorridas.
Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.
La fracción impropia es así (5 * 3) + 4/5 = 19/5
Find the volume of A cube with sides of length 13 meters.
Answer:
V=2197
Step-by-step explanation:
Which expresses the power of a product property?
(a^n)*(a^m) = a^(n + m)
That is the power of a product property, so the correct option is the third one.
Which expresses the power of a product property?The power of a product property refers to how we take the product of two elements with the same base and exponents.
Remember that:
a^n
means that we need to multiply a by itself n times.
Then:
(a^n)*(a^m)
Means that we need to multiply a by itself n times, and then another m times, then we can write:
(a^n)*(a^m) = a^(n + m)
That is the power of a product property, so the correct option is the third one.
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scores on a graduate school entrance exam follow a normal distribution with a mean of 560 and a standard deviation of 90. what is the probability that a randomly chosen test taker will score between 560 and 640?
0.8133 is the probability that a randomly chosen test taker will score between 560 and 640.
What is probability ?Probability is the possibility that something will happen, to put it simply. We can talk about the chance or likelihood of various outcomes when we don't know how an event will turn out. Events that follow a probability distribution are the subject of statistics.
Probability is a branch of mathematics that deals with numerical representations of how likely it is for an event to occur or for a proposition to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates that the event is impossible and 1 indicates certainty.
CalculationP(540< x 640)
= P ( \(\frac{560 - 560}{90}\) < \(\frac{x - mu}{sigma}\) < \(\frac{640-560}{90}\) )
By resolving this, we will obtain a probability ranging from zero to triple zero. Therefore, the likelihood will be zero. Less than zero 89 minutes our chance of being zero is zero. The values are now zero 8133 -0.5 triple zero when utilizing the table. And if we take it out, we get 0.31 33. Therefore, our likelihood of facts here ranges from 5 to 6 40. Its double three at 0.31. Therefore, this is the response to your query.
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Find Sn for the following geometric sequences described.
From the question, the sum of each of the geometric sequence are;
1) 31 3/4
2) 340
3) 11/16
4) -6, 12, -24
What is geometric sequence?
We have that;
Sn = a(1 -\(r^n\))/1 - r
Sn = 16(1 \(- (1/2)^7\))1 - 1/2
Sn = 16(1 - 1/128)/1/2
Sn = 16(127/128) * 2
Sn = 31 3/4
2) Un = a\(r^n\) -1
256 = \(4(4)^n-1\)
64 =\(4^n-1\)
\(4^3 = 4^n-1\)
n = 4
Sn= \(4(4^4 - 1)\)/4 - 1
Sn = 340
3) Since we have a5 then n = 5
Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)
Sn = 33/32 * 2/3
= 11/16
4) 30= a(1 -\((-2)^4\))/1 - (-2)
30 = a(-15)/3
30 = -5a
a = 30/-5
a = -6
Then the first three terms are;
-6, 12, -24
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A tub contains red, green and blue counters. 20% of the counters are blue. The ratio of red to green counters is 2 : 3. If there are 24green counters, what is the probability of picking a red counter?
The probability of picking a red counter is therefore; 8/25.
What is the probability of picking a red counter?Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;
x = (2/3)× 24 = 16 red.
The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.
The total number of counters is therefore; 40/0.8 = 50 counters.
The probability of picking a red counter is therefore; 16/50 = 8/25.
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Which of the following is not a guideline that can lead to effective brainstorming?
- Build on the ideas of others.
- Eliminate ideas that will be too costly.
- Encourage wild ideas.
- Be visual.
- Go for quantity over quality.
Eliminate ideas that will be too costly can lead to brainstorming.
Brainstorming:
A brainstorm is a collection of a list of spontaneous ideas that members come together to reach conclusions about a particular problem and generate new ideas and solutions for a particular area of interest. It's a way to encourage group creativity by removing inhibitions. People can think more freely and take in as many spontaneous new ideas as possible. All ideas are accepted without criticism and evaluated after a brainstorming session.
Here are some rules :
1 . Focus Amount:
Focuses on quantity to combine and improve her ideas that encourage extravagant ideas that do not criticize.
a) This "set-oriented" rule is a means of improving divergence generation.
b) Maximizing quantity accelerates problem resolution and improves quality. Activities should aim to generate as many ideas as possible.
c) Keep each idea short and capture the essence of the idea.
d) The more ideas generated, the more likely it is that an effective solution will emerge.
2. Encourage Extravagant Ideas:
Weird and quirky ideas should be welcomed and encouraged.
a) They open up new ways of thinking and offer better solutions than the usual ideas.
b) They can be generated by looking at things from another perspective or by setting aside assumptions.
c) Unusual ideas can produce better ideas.
d) Wishful thinking is very helpful here.
3. Combining and Improving Ideas:
Weird and whimsical ideas should be welcomed and encouraged.
a) They open up new ways of thinking and offer better solutions than the usual ideas.
b) Seeing things from a different perspective or setting aside assumptions can cause them.
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22.
In the figure, m29 = 80 and m25 = 68. Find the measure
of each angle. Tell
b. 21
a. 212
1
413
80
9 10
1211
→
-P
185.6
817
13/14
16115
c. 24
68
d. 23
Step-by-step explanation:
This is the correct answer Step-by-step
I hope you understand...