Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
In this case a=-38 and d=3 so
a(n)=-38+3(n-1) which we can simplify to
a(n)=-38+3n-3
a(n)=3n-41, so the 52nd term is:
a(52)=3(52)-41
a(52)=156-41
a(52)=115
Answer:
Number of gallons of strawberries will she have picked in 2 hours is, 3
Step-by-step explanation:
Unit rate defined as the rate are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.
Given the statement: Jen picked 3/4 of a gallon of strawberries in half an hour.
⇒ In
hour Jen picked
gallon of strawberries.
Unit rate per hour = 
To find the number of gallons will she have picked in 2 hours.

=
Therefore, the number of gallons will she have picked in 2 hours is, 3
Answer:
Rs.16
Step-by-step explanation:
Divide the cost of Rs.96 by 12 then multiply by 2
cost of 1 pencil = Rs.96 ÷ 12 = Rs.8
cost of 2 pencils = 2 × Rs.8 = Rs.16