Answer:
Step-by-step explanation:
Answer:
95% of monthly food expenditures are between $110 and $190.
Step-by-step explanation:
Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.
To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?
Solution :
At 95% of the data is between two standard deviation to left and right of the mean is given by,
To the left side, 
To the right side, 
We have given,
The sample mean 
The standard deviation 
Substitute in the formula,
Therefore, 95% of monthly food expenditures are between $110 and $190.
Answer:
Step-by-step explanation:
The pediatrician said that the z-score for the boy's height, relative to other 2-year-olds in the country, was 1.59
He explains to the parents of the boy, that the extreme 5% of cases often require special attention.
(A) Does this child fall into that group?
Yes, this child falls into that group. He is among the extreme 5% of cases at the tail of the distribution.
(B) What do you need to assume about the heights of 2-year-olds, in order to find your answer to part (A)?
Assume that the distribution of heights is skewed, the heights are independent of one another, and the number of heights is very large.
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer:
20 ft
Step-by-step explanation:
(8^2+6^2) find the square root of this which is 10 and then double it
