Answer:
<u>0.04kg</u>
Step-by-step explanation:
Kinetic energy Formula: eK=0.5×m×v²
to work out mass
we can rearrange the formula and make it:
~m=eK÷(0.5×v²)
now insert the missing digits into the formula:
m=200÷(0.5×100²)
work it out, and you get your answer
m=0.04kg
Hopefully this helped-have a good day)
Answer:
The probability that at least one of the children get the disease from their mother is 0.7125.
Step-by-step explanation:
We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.
Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.
Let Probability that children get the disease from their mother = P(A) = 0.34
SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)
where A' = event that children do not get the disease from mother.
So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66
Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother
= 1 - P(X = 0)
= 1 - (0.66 0.66 0.66)
= 1 - 0.2875 = <u>0.7125</u>
Answer:
$25
Step-by-step explanation:
500 mins = $35 (fixed + per minute charge)
1500 mins = $55 (fixed + per minute charge)
If we let per minute charge be "m"
and
let fixed charge be "f"
we can write 2 equations as:
35 = 500m + f
and
55 = 1500m + f
Now,
We re-write both equations in terms of f and equate both expressions:
f = 35 - 500m
and
f = 55 - 1500m
Equating:
35 - 500m = 55 - 1500m
-500m + 1500m = 55 - 35
1000m = 20
m = 20/1000
m = 0.02
Now we find f, what we are looking for:
f = 35 - 500m
f = 35 - 500(0.02)
f = 25
So, the fixed charge is $25
Answer: 32/24
Step-by-step explanation:
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip?
32 is the total amount of people on the field trip, 24 students
32/24 would be the correct ratio.
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