If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.
Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.
We are required to calculate the probability that all the five households will have pets.
Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.
Binomial probability distribution is basically the probability calculations but in different combinations.
In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to 
=1(0.0503)
=1*0.0503*1
=0.0503
Hence the probability that all the five households will have pets is equal to 0.0503.
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Answer:
Option C.
Step-by-step explanation:
By the property of unique triangles (ASA), one side is included between the two angles.
By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.
Therefore, 
is included between ∠A and ∠B.
Option C. will be the answer.
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
Answer:
See below ~
Step-by-step explanation:
<u>P (6th grader)</u>
- No. of 6th graders / Total students
- 6 / 6 + 7 + 8
- 6/21
- 2/7
<u>P (6th grader after)</u>
- No. of 6th graders - 1 / Total students - 1
- 6 - 1 / 21 - 1
- 5/20
- 1/4
<u>Question 1 : P (Both 6th graders)</u>
- P = P (6th grader) × P (6th grader after)
- P = 2/7 x 1/4 = 2/28 = <u>1/14</u>
<u></u>
<u>Question 2 : P' (Both 6th graders)</u>
- P' = 1 - P
- P' = 1 - 1/14
- P' = <u>13/14</u>
Answer:
12.571 length
x= 1.8571 or 13/7
Step-by-step explanation:
