Answer:
C
Step-by-step explanation
Why does C work:
You can calculate the rate of change by subtracting 12 from Distance Traveled = 1, from 12.75 from Distance Traveled = 2 to find the difference of 0.75.
Because the multiple-choice only offers fractions you can check if .75 is correct by converting it into a fraction. This is true, 0.75 is equal to 3/4.
Now that you know the rate of change you need to find the initial value which would be Distance Traveled = 0 and Time = __. To find this you subtract 0.75 from 12 which would give you 11.25.
C. y = 3/4(0.75) + 11.25
23.
Work:
5(6)-7
5(6)=30
30-7=23
Answer: P(x ≥ 47) = 0.25
Step-by-step explanation:
Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancies of the certain protozoan.
µ = mean
σ = standard deviation
n = number of samples
From the information given,
µ = 46 days
σ = 10.5 days
n = 49
The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as
P(x ≥ 47) = 1 - P(x < 47)
For x = 47
z = (47 - 46)/(10.5/√49) = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75
P(x ≥ 47) = 1 - 0.75 = 0.25
