Answer:
D. 5
Step-by-step explanation:
So in this case expand the brackets where everything outside the brackets are multiplied into the brackets if that makes sense. Therefore 5 times 3m plus 5 time 2.
(5×3m)+(5×2)
=15m+10
do not add them together since they are not like terms
Do the same for the next question
which I think is already done for you since there is no expanding or adding to do.
Hope I am right if not sorry.
Answer:
The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they pass the health test, or they do not. Whether a child can pass the test is independent with the test result of other children. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
The probability for each child to pass the fitness test is 0.75
This means that
10 independent children
This means that Find the expectation and standard deviation of the number of children can pass the fitness test in a test session.
The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.
Answer:
The dog pen is 12 square meters than the goat pen
Step-by-step explanation:
<u>Area of the rectangular pen for the goats:</u>
The perimeter of the pen is 20 meters. And a barn is used for one side length
so
L + 2B = 20
L = 20 -2B
20 -4B
20 = 4B
B = 5
Now ,
L = 20-2B
L =20 -2(5)
L = 20 -10
L = 10
So area of the rectangular pen for goats
=> 10 x 5
=> 50 square metres
<u>Area of the rectangular pen for the dogs:</u>
The perimeter of the pen is 24 meters. And a barn is used for one side length
so
Now ,
Area of the rectangular pen for dogs
=>
=>
=> 72 square metres
Area of the rectangular pen for the goats - Area of the rectangular pen for the dogs
=>72 - 50
=> 12 square meters
It is 3000 because you round up