Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
This has a slope of 3, you can plot it on a graph and count rise over run.
Anders Celsius (Swedish pronunciation: [ˌanːdəʂ ˈsɛlːsiɵs], 27 November 1701 – 25 April 1744) was a Swedish astronomer, physicist and mathematician. He was professor of astronomy at Uppsala University from 1730 to 1744, but traveled from 1732 to 1735 visiting notable observatories in Germany, Italy and France. He founded the Uppsala Astronomical Observatory in 1741, and in 1742 proposed (an inverted form of) the Centigrade temperature scale which was later renamed Celsius in his honor.
Romeo and Juliet is a tragedy written by William Shakespeare early in his career about two young Italian star-crossed lovers whose deaths ultimately reconcile their feuding families. It was among Shakespeare's most popular plays during his lifetime and, along with Hamlet, is one of his most frequently performed plays.
Step-by-step explanation:
x + (-7) ≤ 18
x - 7 ≤ 18
x ≤ 18 + 7
x ≤ 25
Value of x is less than or equal to 25
Answer:
The smaller number is 5.
The bigger number is 15.
Step-by-step explanation:
Let the smaller number be x and the bigger number be x+10.
x+x+10 = 4x
2x+10 = 4x
10 = 4x-2x
2x = 10
x = 10÷2
= 5
x+10 = 5+10
= 15
