Answer:
The confidence interval = (7.8 , 8.0)
Step-by-step explanation:
Confidence Interval formula =
Mean ± z × Standard deviation/√n
Mean = 7.9
Standard deviation = 0.9
n = number of samples = 164
z = z score of an 80% confidence interval = 1.282
Confidence Interval = 7.9 ± 1.282 × 0.9/√164
= 7.9 ± 0.0900966432
Confidence Interval
= 7.9 - 0.0900966432
= 7.8099033568
Approximately to 1 decimal place = 7.8
7.9 + 0.0900966432
= 7.9900966432
Approximately to 1 decimal place = 8.0
Therefore, the confidence interval = (7.8 , 8.0)
1. Let the four consecutive numbers be x, x+1, x+2, x+3
The sum of four consecutive number is already given to us = 70
Therefore
⇒(x)+(x+1)+(x+2)+(x+3)=70
We need to combine x as we have four x terms in the equation. The next step is to get all of the x’s on one side of the equation and all the numbers on the other side. The same rule applies – whatever you do to one side of the equation, you must do to the other side as well!
⇒4x+6=70⇒4x=64⇒x=16
So, the four numbers are 16, 17, 18 and 19.
Hence, the greatest number among them is 19.
Answer:
The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1.
Step-by-step explanation:
Step-by-step explanation:
x^4 -64 = 0
x^4 = 64
x^4=√64
x = -4 or +4