10% of a competition’s contestants like dogs. 60% of them like rabbits. 90% of them like cats. Liking each of these animals is independent. That means, for example, that whether or not you like dogs does not affect whether you like cats. If we choose a random contestant:
a. What is the probability of this contestant
liking cats and dogs, but not rabbits?
b. What is the most likely outcome of this contestant’s preferences? As in, which animals does s/he like, and which does s/he not like?
Answers
To find the probability of a contestant liking cats and dogs but not rabbits, we can use the formula for calculating the probability of independent events. That is, P(A and B and not C) = P(A) * P(B) * P(not C).
So in this case, P(cats and dogs and not rabbits) = 0.1 * 0.9 * 0.4 = 0.036. Therefore, the probability of a contestant liking cats and dogs but not rabbits is 0.036 or 3.6%.
As for the most likely outcome of this contestant's preferences, we can see that 90% of the contestants like cats, so it's very likely that this contestant likes cats. However, only 10% of the contestants like dogs, so it's less likely that this contestant likes dogs.
And 60% of the contestants like rabbits, so it's even more likely that this contestant does not like rabbits. Therefore, the most likely outcome is that this contestant likes cats but does not like dogs or rabbits.
In conclusion, given the probabilities provided, we can calculate the probability of a contestant liking cats and dogs but not rabbits, and we can also determine the most likely outcome of this contestant's preferences. The independence of the events allows us to use simple probability calculations to make these determinations.
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Related Questions
if x = 1 and y = 1
Then the value of x-y + xy is
Answers
Answer:
xy together mean x times y which equals 1
x-y = 0
the the sum is 1
Step-by-step explanation:
1-1 + 1(1)
= 1
The authors of both passages agree that
(A) genetic characteristics alone cannot determine
a person’s behavior
(B) a formal code of ethical rules will be needed once
human beings can be cloned
(C) people who are cloned from others may have
greater professional opportunities
(D) identical twins and triplets could provide useful
advice to people related through cloning
(E) cloning human beings is a greater technological
challenge than cloning sheep
Answers
The correct answer is option a) genetic characteristics alone cannot determine a person’s behavior.
The authors of both passages agree that genetic characteristics alone cannot determine a person’s behavior.
What is genetics?
Genetics is a discipline of biology that studies genes, genetic diversity, and heritability in animals.
Though heredity had been observed for millennia, Gregor Mendel, a Moravian scientist and Augustinian priest working in Brno in the nineteenth century, was the first to do scientific research on genetics.
Mendel researched "trait inheritance," or the patterns in how characteristics are passed down from parents to children through time.
He discovered that organisms (pea plants) pass on features through separate "units of inheritance." This word, which is still in use today, is a slightly unclear description of what is known as a gene.
In the twenty-first century, trait inheritance and molecular inheritance processes of genes remain essential concepts of genetics, but modern genetics has moved beyond inheritance to explore the function and activity of genes.
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3 The ratio of hotdogs to hamburgers at the cookout 3:6. What is the difference between the number of hotdogs and hamburgers if there are 120 hamburgers?
Answers
The difference between the number of hotdogs and hamburgers is 60
How to determine the difference?The ratio is given as:
Hotdog : Hamburger = 3 : 6
When the total hamburger is 120.
We have:
Hotdog : 120 =3 : 6
Multiply 3 : 6 by 20
Hotdog : 120 =3 * 20 : 6 * 20
Evaluate
Hotdog : 120 = 60 : 120
By comparison, we have
Hotdog = 60
So, the difference is
Difference = 120 - 60
Evaluate
Difference = 60
Hence, the difference is 60
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how do i multiply these ? (5x-6.9)(2x+12.2)
Answers
Answer:
10x^2 + 47.2x - 84.18
Step-by-step explanation:
You distribute both terms in the first set of parentheses (5x-6.9) to the terms in the second set (2x+12.2) So when you're doing it 5x gets multiplied by 2x and 12.2 and -6.9 gets multiplied by 2x and 12.2. Then you simplify as much as possible
Is Pie Really infinite or could their be a possible ending by rounding it..........
Answers
Answer:
pi is infinite
Step-by-step explanation:
pi rounded ends
20 At Honey Beepot, the bulk price for honey is $2.50 per pound, with a minimum purchase of 20 pounds. If Bobby paid $80 for some honey, by how many pounds did Bobby's purchase exceed the minimum? *
A. 10
B. 12
C. 24
D. 30
E. 32
Answers
12 pounds (B)
Explanation:
80/2.5 = 32
32-20 = 12
I don’t know if this is right but I’m pretty sure it is.
He bought 32 pounds so he exceeded the minimum by 12 pounds.
Scientists determined that the cause of death in many prawns off the coast of Chile was a nutrient deficiency. So, they set out to determine if the distribution of plants in the ocean near the coast was out of proportion when compared to the ideal environment: 40% Kelp, 25% Phytoplankton, 25% Coral and 10% Other (mostly nutrient-low seaweed). In randomly chosen areas along the coast, they sampled 240 plants.
KELP PHYTOPLANKTON CORAL OTHER
84 67 57 32
In an ideal environment how many of the 240 plants would you expect to be Kelp?
If a goodness of fit test is conducted, what is the null Hypothesis?
If a goodness of fit test is conducted, what is the alternative Hypothesis?
What is the probability of getting the observed values or values as extreme from the ideal?
Is there enough evidence to conclude that the environment for prawns is not ideal? Base this conclusion on p-value and a level of significance of 0.05 or 5%.
Answers
Answer:
Step-by-step explanation:
Difficult for me but should be easy for some big brain out there
Answers
Answer:
I would say the last one
Step-by-step explanation:
Answer:
42/45
Step-by-step explanation:
if a + b + c is equals to 270 then prove that sin a cos b sin c + cos a sin b sin c + sin a sin b cos c = cos a cos b cos c
Answers
Answer:
\(Solution,\\a +b+c=270\\or, a +b = 270-c\\\)
\(cos(a+b) = cos(270-c)~~~~~~~~~and~~~~~~~~~sin(a+b)=sin(270-c)\\or, cos(a+b) = -sinc,~sin(a+b) = -cosc\\Now,\\L.H.S. = sina.cosb.sinc +cosa.sinb.sinc + sina.sinb.cosc\\~~~~~~~~~~= sinc (sina.cosb+cosa.sinb)+sina.sinb.cosc\\~~~~~~~~~~=sinc[sin(a+b)]+sina.sinb.cosc\\~~~~~~~~~~=sinc.-cosc+sina.sinb.cosc\\~~~~~~~~~~=cosc(sina.sinb-sinc)\\~~~~~~~~~~=cosc[sina.sinb+cos(a+b)]\\~~~~~~~~~~=cosc[sina.sinb+cosa.cosb-sina.sinb]\\~~~~~~~~~~=cosc.cosa.cosb\\~~~~~~~~~~=cosa.cosb.cosc \\\)
Hope I helped you!
If Patrick scored 33 marks out of a possible 55 marks, what % did he get?
Answers
Answer:
60%
Step-by-step explanation:
33/55 = 0.6 which is 60%
At the frozen yogurt shop, Colin pays $3.28 for his treat, which weighs 8 and 1/2 ounces. What is the unit cost (dollars per ounce)? Round to the nearest cent. Write your answer as a decimal
Answers
Answer:
39 cents
Step-by-step explanation:
3.38÷8.5=0.39
What is the integrated rate law for a 1st order reaction?
Answers
Expiation: the half-life of a first-order reaction is independent of concentration, and this equation has the form y=mx + b so a plot of the natural log of [A] as a function of time yields a straight line
Source: khanacadamey.org
Hope this helps!
the taxi driver charges a $4 flat fee p
+ $6 per mile for each ride Berry only has $22 to pay for taxi ride how many miles can you ride in the taxi
Answers
Answer:
3 miles
Step-by-step explanation:
22-4 so 18 dollars left
18/6 = 3, so 3 miles
Answer:
3 miles
Step-by-step explanation:
Berry only has $22
Subtract the flat fee, $4, so 22-4=18
$18 divided by $6/mile = 3 miles
suppose a research report states that the result of a between subjects one-way anova is f (3, 32) = 3.47 should the researcher reject the null hypothesis if using alpha = .05
Answers
Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.
In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.
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Find the order 3 Taylor polynomial T3(x) of the given function at x = 0. Use exact values. f(x) = ( - 3x + 8); T3(a) =
Answers
The third-order Taylor polynomial, T3(x), of the function f(x) = (-3x + 8) at x = 0 is given by T3(x) = 8 - 3x.
The Taylor polynomial is a way to approximate a function using its derivatives at a particular point. For the given function f(x) = (-3x + 8), we want to find the third-order Taylor polynomial, T3(x), at x = 0.
To construct the Taylor polynomial, we need to evaluate the function and its derivatives at x = 0. Let's find the derivatives of f(x):
f'(x) = -3 (derivative of -3x is -3)
f''(x) = 0 (derivative of -3 is 0)
f'''(x) = 0 (derivative of 0 is 0)
Since the second and third derivatives are both zero, the Taylor polynomial of order 3 will only include the constant term and the first derivative. Thus, we can write T3(x) as:
T3(x) = f(0) + f'(0)x
= (8 - 3(0)) + (-3)x
= 8 - 3x
Therefore, the third-order Taylor polynomial T3(x) of the function f(x) = (-3x + 8) at x = 0 is given by T3(x) = 8 - 3x. This polynomial provides an approximation of the function near x = 0 using the constant term and the first derivative.
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An equilateral triangle has a side length of 3x^2 - 4x + 9. What is the perimeter of the triangle?
Answers
Answer:
peri=3(3xsq-4x+9)
=9x^2-12x+27
Solve the inequality:
k−4≤−1 or k3≥2
Responses
3≤k≤6
3 6
k≤3 or k≥6
Answers
Step-by-step explanation:
i don't know the answer of this question
g suppose a small library has five book shelves labeled a-e. in how many different ways can 30 books be placed on these shelves if the books are all different
Answers
There are 150 different ways can 30 books be placed on these shelves if the books are all different.
The number of shelves on a bookshelf is 5.
The number of books on one shelf is 30.
The number of books on 5 shelves= The number of books on one shelf *The number of shelves.
which implies that, the total number of books =30*5
By multiplying 30 by 5 we get 150
total number of books =150.
hence, bookshelves have 150 books if books are placed differently.
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Use tangents to solve the problem
Answers
The value of AD of the triangle using trigonometric ratios is: 18.7
How to use trigonometric ratios?The sum of angles in a triangle is 180 degrees. Thus:
∠ABC = 180 - (41 + 35)
∠ABC = 104°
Using sine rule, we have:
AB/sin 35 = AC/sin 104
AB = (42 * sin 35)/(sin 104)
AB = 42 * 0.5911
AB = 24.826
Now, using trigonometric ratio:
AD/AB = cos 41
AD = 24.826 * 0.7547
AD = 18.7
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In a study of an insect population, there were about 106 insects four weeks after the study began and about 337 insects after two more weeks. How many insects would there be 8 weeks into the study?
Answers
We can estimate that there would be approximately 568 insects 8 weeks into the study, assuming the population growth rate remains constant.
To solve the problem, we can assume that the growth of the insect population is linear over time.
Using the given information, we can find the growth rate per week:
From the start to 4 weeks: 337 - 106 = 231 insects growth in 2 weeks
Therefore, the growth rate per week is 231/2 = 115.5 insects
Now we can use this growth rate to predict the insect population after 8 weeks:
From the start to 6 weeks: 106 + 2*115.5 = 337 insects
From 6 weeks to 8 weeks: 2*115.5 = 231 insects growth
Therefore, the insect population after 8 weeks is 337 + 231 = 568 insects.
So, there would be about 568 insects 8 weeks into the study.
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Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is
viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answers
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.
Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.
Find the area for this problem
Answers
Answer:
494 cm^2
Step-by-step explanation:
Find area od the rectangle:
14 x 26 = 364
Find area of the triangle:
10 x 26 = 260
260/2 = 130
Add the areas together:
364 + 130 = 494
To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money? 10 + 0.3(4h) = 0.25(6h) 0.3(10) + 4h = 0.25(6h) 0.3(10 + 4h) = 0.25(6h) 0.3(14h) = 0.25(6h)
Answers
Answer:
0.3(10 + 4h) = 0.25(6h)
Step-by-step explanation:
The equation which can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money is 0.3(10 + 4h) = 0.25(6h)
How to solve equationlet
h = number of hours
Fernando:$10 + $4h
30% of $0 + $4h
= 30/10(10 + 4h)
= 0.3(10 + 4h)
Brenna:25% of $6h
= 25/100 × 6h
= 0.25(6h)
Equate both
0.3(10 + 4h) = 0.25(6h)
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Hope now wants to describe the gases by using a list. See her partial list below. 1. Oxygen 2. Helps living things produce energy 3. Helps protect living things from harmful rays of the sun 4. Nitrogen 5. Part of the muscles and organs of living things 6. Part of substances that make living things function She wants to use a different level for the uses of the gases. What can Hope do to change the numbers 2, 3, 5, and 6 to lowercase letters? Press the Space bar. Use the Tab key. Click the Sort option. Use the Multilevel List icon.
Answers
Answer:
D} Use the Multilevel List icon.
Step-by-step explanation:
i just took a quiz that had this question and this was the right answer. Hope this helped!
Answer:
D
Step-by-step explanation:
There are 220 seniors at a certain school. Among all seniors, 45 took calculus, 55 took physics, and 10 took both. How many seniors took neither calculus nor physics?
Please explain.
Answers
You’re welcome!
pleased help me answer this I'm confused. look at picture
Answers
Answer:
23 + 16 = 39
39 - 16 = 23
the student did not reverse the sum correctly
find a formula bn for the -n- th term of the following sequence. assume the series begins at =1.n=1. 45,56,67,…
Answers
The formula for the n-th term (b_n) of the given sequence is b_n = 45 + (n - 1) * 11.
To find a formula for the n-th term of the sequence 45, 56, 67, ..., we can observe that each term is obtained by adding 11 to the previous term.
We can express the n-th term of the sequence as follows:
b_n = 45 + (n - 1) * 11
This formula calculates the value of the n-th term by starting with the initial term 45 and adding 11 times the number of steps away from the initial term.
Therefore, the formula for the n-th term (b_n) of the given sequence is b_n = 45 + (n - 1) * 11.
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what 2 plus 3
\(2 + 3 = \)
Answers
Answer:
5
Step-by-step explanation:
2 + 3 = 5 , theres not much other to say besides for questions like these you can use a calculator :)
in how many ways can a committee of 20 members choose a president, a vice-president, and a secretary?
Answers
There are 6840 ways to choose a president, a vice-president, and a secretary from a committee of 20 members.
To choose a president, a vice-president, and a secretary from a committee of 20 members,
We will use the formula for combinations,
which is: C(n, k) = n! / (k! (n - k)!)
where n is the total number of members and k is the number of members being chosen.
So, for n = 20 and k = 1, we have:
C(20, 1) = 20! / (1! (20 - 1)!) = 20
This gives us 20 choices for the president.
For the vice president,
We need to choose 1 member from the remaining 19 members.
So, for n = 19 and k = 1,
we have:
C(19, 1) = 19! / (1! (19 - 1)!) = 19
This gives us 19 choices for the vice president.
Finally, for the secretary,
We need to choose 1 member from the remaining 18 members.
So, for n = 18 and k = 1,
we have:
C(18, 1) = 18! / (1! (18 - 1)!) = 18
This gives us 18 choices for the secretary.
Now for finding the total number of ways to choose the three positions, we multiply the number of choices for each position:
So, the required number of ways will be 20 * 19 * 18 = 6840
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Suppose you own 10 stocks of Nike. If the price of Nike stock drops by $5, then how much money have you lost?
Please help
Answers
Answer:
50$
Step-by-step explanation:
5x10 is 50 because you have 10 shares and each drops by 5 dollars, you would loose 50$
Answer:
50
Step-by-step explanation: