Just because the 3 is less than 5 doesn't mean it's less. What max did wrong was automatically see the first number and say it was greater/least because it's just the first digit. 36,594,145 is greater than 5,980,251 because the last 6 digits are invisible right now so thing about the numbers before the first comma- 36 and 5. Which number is greater? 36 so just because it's the first digit in the number doesn't make it automatically greater or less. *-sorry for such long paragraph*
Answer:
The probability is 
Step-by-step explanation:
From the question we are told
The population proportion is 
The sample size is 
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

Generally the standard deviation of this sampling distribution is

=> 
=> 
Generally the sample proportion is mathematically represented as

=> 
=> 
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -3.022 is

=> 
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls
----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
Answer:
hello : P(A and B) = 3/20
Step-by-step explanation:
events A and B are independent:
P(A and B) = P(A)×P(B)
P(A and B) = (1/4)×(3/5)
P(A and B) =3/20
continu ....
P(B/A)= P(A and B) / P(A)
Answer:
280 cubic inches
Step-by-step explanation:
Cubic inches of foam required = volume of the box - volume of the basketball
The box has a shape of a cube, so that;
volume of the box = 
where l is the length of the sides of the box.
volume of the box = 
= 729 cubic inches
volume of the box = 729 cubic inches
The basketball has the shape of a sphere, so that;
volume of the basketball =


=
x 3.14 x 
= 448.693
volume of the basketball = 448.693 cubic inches
Thus,
cubic inches of foam required = 729 - 448.693
= 280.307
The cubic inches of foam to be used is 280 cubic inches.