Neither cause there both at the same constant rate so one train wouldn’t be traveling at a greater speed unless there is something missing from the question being asked like the actual speed of each individual train then there would be one train traveling at a greater speed
Answer: The area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.
Step-by-step explanation:
Let r be the radius of the circle having the center O,
⇒ The area of the circle = 
square unit.
And, the central angle AOB = 
( since, 
= 180° )
Hence, the area of sector AOB
square unit.
Now,
⇒ Area of sector AOB = 5/8 × Area of the circle.
Hence, the area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.
Answer:
0.000221
Step-by-step explanation:
Using the z score formula when a random number of samples is given =
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation = 7
n is random number of samples = 83
Note that:2.2 dollars = x-μ
z = 2.2/7/√8.3
z = 3.51402
Probability value from Z-Table:
P(x<27.7) = 0.99978
P(x>27.7) = 1 - P(x<27.7) = 0.00022069
Approximately = 0.000221
Hence, the probability that the sample mean would differ from the true mean by greater than 2.2 dollars if a sample of 83 5-gallon pails is randomly selected is 0.000221
Answer:
The slope is -2
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/(x2-x1)
= (8-4)/(0-2)
= 4/-2
= -2
Step-by-step explanation:
The sum is 1225
Solution :
The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196
Here, a=154,d=7a=154,d=7 and tn=196tn=196
tn=a+(n−1)dtn=a+(n-1)d …(Formula )
∴196=154+(n−1)×7∴196=154+(n-1)×7 …(Substituting the values )
∴196−154=(n−1)×7∴196-154=(n-1)×7
∴427=n−1∴427=n-1 ∴n−1=6∴n-1=6 ∴n=7∴n=7
Now, we find the sum of 7 numbers.
Sn=n2[t1+tn]Sn=n2[t1+tn] ...(Formula )
=72[154+196)=72[154+196)
=72×350=72×350
=7×175=7×175
=1225
