Answer: the correct option is e
Step-by-step explanation:
Since the The length of time needed to complete a certain test is normally distributed, we would apply the the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = The length of time needed to complete a certain test
u = mean time
s = standard deviation
From the information given,
u = 62 minutes
s = 8 minutes
We want to find the probability the probability that it will take less than 74 minutes to complete the test. It is expressed as
P(x lesser than or equal to 74)
For x = 74,
z = (74 - 62)/8 = 1.5
Looking at the normal distribution table, the corresponding value for the z score is 0.9332
P(x lesser than or equal to 74) = 0.9332
Answer:
Nina has been in her book club for 7 months.
Step-by-step explanation:
Let Zia's age be = x years
Raj is three years older than Zia, so Raj's age = x+3 years
As the sum of the squares of their ages is 369, so
Factoring 2 out we have,
Now solving this equation,
x=-15 and x=12
Neglect the negative value as x cannot be negative
So x=12
Hence, Zia's age is 12 years and
Raj's age is 12+3 = 15 years
Answer:
.
Step-by-step explanation:
If two events are complements, then the sum of their probabilities should be 
.
This question suggests that the following two events are complements:
- At least one child is female.
- All three children are male.
As a result:
.
According to the question,
.
Therefore,
.
The improper fraction 16/3 would be written as the mixed number 5 and 1/3.
