Answer:
0.0156 probability that they got three cats.
0.4219 probability that they got three dogs.
Step-by-step explanation:
For each person there are only two possible outcomes. Either they adopted a dog, or a cat. The probability of a person adopting a cat or a dog is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Three people:
This means that [tex]n = 3[/tex]
What's the probability that they got three cats?
25% of the time it's a cat adopted, which means that [tex]p = 0.25[/tex]
This is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156[/tex]
0.0156 probability that they got three cats.
What's the probability that they got three dogs?
75% of the time it's a dog adopted, which means that [tex]p = 0.75[/tex]
This is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219[/tex]
0.4219 probability that they got three dogs.
Convert 90 mins to hours full working plz
Answer:
1 hour is 60 min so
90 min = 1 hour and 30 min
or 1.5 hours
Which of the following statements are equivalent to the statement "Not all cats do not like having their belly rubbed"?
Answer:
“Not all cats dislike having their belly rubbed”
Step-by-step explanation:
Just try not to repeat words because it is confusing and wordy.
jeremiah has a total of 144 pokemon cards 40 out of every 48 cards are not holographic cards at this rate how many of jeremiah cards are holographic
Answer:
120
Step-by-step explanation:
rate of a holographic card= 40/48=5/6.
Total number of holographic cards = 144*rate =144*5/6=120
Help please I only have a few minutes left and I Lee’s to be fast super fast‼️❤️
Answer:
The discounted price is $109. So the bike now cost $218.
Step-by-step explanation:
A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month?
Answer:
464 kg butter
Step-by-step explanation:
45% of 320 kg - 144
320+140-464
Jeremiah answered 20
out of 25 questions
correctly on the math test.
What percent of the
questions did Jeremiah
answer correctly?
Answer:
he got 80 percent correct
* What is the measure of angle x°?
simplify the expression by using the distributive property 2(3x-5)
Step-by-step explanation:
multiply the outer term to the inner term
so, 6x-10.
Hello.
Let's use the Distributive Property to simplify the given expression.
Remember, the Distributive property states that
a(b+c)=ab+ac
Now, let's simplify our expression:
2(3x-5)
6x-10
This is the simplified answer; we can't simplify it anymore.
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
what is the operation of 24 3/4 = 18
Answer:
subtraction of 6 3/4 from 24 3/4
Step-by-step explanation:
24 3/4 - 6 3/4 = 18
2 1/2% as a simplified fraction
Answer:
Step-by-step explanation:
5/2% is in the fraction form
520 is the decimal form
hope this helps
an investment that you bought ____ and sold for ___ made a profit
A.400, 500
B.500,300
C.500, 400
D.400, 300
does someone know this answer?
-2 x -4 x -1 - -2 x -4
Answer:
-16
Step-by-step explanation:
(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy
Multiply first parenthesis:
= -8
Multiply second parenthesis:
= 8
Combine (subtract):
-8 - 8 = -16
Answer:
-32
Step-by-step explanation:
your required answer is
-2 × -4 × 1 × -4 = -32
Which of the following represents the total surface area?
O 844 in.²
O 548 in.²
O 296 in.²
O 210 in.²
Answer:
Step-by-step explanation:
It is the 2nd one.
2nd one. makes more scence
Answer:
844 in.²
Step-by-step explanation:
Find the area of all the sides, and add them up
(20 x 7.4) x 2 = 296
(20 x 10) x 2 = 400
(10 x 7.4) x 2 = 148
296 + 400 + 148 = 844 in.²
231+X=? HELLLLLLLLLLLLLLLLLLLL!!!!!!!!
Answer:
231+X = 231+X
Step-by-step explanation:
Hope it helps!!!!!!!!
*
3. Combine like terms and simplify the expression.
(2 points)
4 (3x + 2x + 6)
Enter your math answer
Which number sentence can be used to find 42 ÷ 7 =?
Answer:
the sentence that says 42 ÷ 7 = 6
Step-by-step explanation:
i need help plsss help
Answer:
d
Step-by-step explanation:
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I WILL GIVE BRAINERLEST AND LIKE AND 5 STARS
For what number of days d will the
total charges for an overdue library
book be $2.40?
Answer:
You seem to have not posted the whole problem
You did not seem to say the problem
But mabye 30
The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?
Answer:
D' = (5, 2)
Step-by-step explanation:
Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.
Determine whether the figure has line point and or rotational symmetry
Answer:
D) rotational and point
Step-by-step explanation:
D) rotational and point
2+3i / 1-4i simplify
Answer:
=2−i
Step-by-step explanation:
Hope this helps :)
BRAINLIEST PLSSS I HAVE A LITTLE BIT POINTS :|
paul can finish painting a fence in 2 hours if jane douse the job alone she can finish it in 5 hours how long will it take them to finish the same job?
Answer: 40 minutes
Step-by-step explanation:
2/5 = .4 so it would be 40 minutes
How much cm is 2 feet
Answer:
60.96cm
Step-by-step explanation:
Sqrt 40 =
round all answers to nearest tenth
Answer:
10
Step-by-step explanation:
sqrt 40 = 6.3
6.3 round to the nearest ten is 10
9514 1404 393
Answer:
6.3
Step-by-step explanation:
Almost any calculator can tell you the square root of 40 is about 6.324555...
Rounded to the nearest tenth, that is √40 ≈ 6.3
What would be the Y-intercept in equation #1 of the following system? (Graphing)
x+y=7
6x-7y=18
(Worth 10 points)
I don't know what you mean by equation 1. I assume you mean x + y = 7 is equation 1.
If so, solve for y as step 1.
x + y = 7
y = - x + 7
The y-intercept is 7.
Your directions do not say to solve the system of equations.
If you need to solve by graphing, use DESMOS or your graphing calculator. The solution of the system of equations is the point on the graph where the two equations meet or touch each other.
Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning
Answer:
sdfsefsesfsfsefsefsefsefsfsefesef
Step-by-step explanation:
20. The top layer of a circular wedding cake has a
diameter is 15 inches. The bottom layer of the circular
wedding cake has radius is 30 inches. How many times
greater is the circumference of the bottom layer than
the top layer?
Answer:
4 times
Explanation:
tc = 15×π = 47.12.. in
bc = 2×30×π = 188.49.. in
bc = 188.5/47.12 = 4 times
Quadrilateral A'B'C'D' Is the image of quadrilateral ABCD under a dilation.
What is the scale factor of the dilation?
Answer:
Scale factor = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Formula for the dilation to be used,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].
PLEASE HELP!!!!!!
Find the next 3 terms in this pattern: 18, -6, 2, ___, ___, ___.
Answer: -0.67, 0.22, -0.074
Step-by-step explanation:
This is a geometric sequence because it has a common ratio. The common ratio is divide by -3.
18 / -6 = -3
-6 / 2 = -3
Therefore, we'd continue that ratio.
2 / -3 = -0.67
-0.67 / -3 = 0.22
0.22 / -3 = -0.074
It may ask you to write that in fraction form^^
In that case, 2/-3, then 2/-3 / -3, etc etc. :)
Divide by -3
______________
Hope this helps :)
-Lexi