Answer:
The correct option is 3.
Step-by-step explanation:
To find the slope of a line Ava wrote the expression
..... (1)
The formula to find the slope is
.... (2)
On comparing (1) and (2), we get
It means the value of y is 2 at x=1 and the value of y is 4 at x=3.
Therefore table 3 represents the Ava's line and option 3 is correct.
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer: 0.129
Step-by-step explanation:
Let denotes a random variable that represents the mean weight of babies born.
Population mean :
Standard deviation:
Sample size = 83
Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :
hence, the required probability = 0.129