Answer:
1/6
Step-by-step explanation:
There is x candy in total and y students in total.
Group A consists of 0.8y students, and group B consists of 0.2y students.
Group A gets 40% of x, or 0.4x. Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.
Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.
The ratio of candy each student in group A has to the amount of candy each student in group B has is:
(0.5x/y)/(3x/y) = 0.5/3 = 1/6
Step-by-step explanation:
I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00
Step-by-step explanation:
a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.
given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.
that means for ACDF that the sides DC and FA are equally long.
DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.
based on the SAS criteria this confirms that DF is congruent to AC.
the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.
so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have
360 = 4×angle
angle = 90 degree.
so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle
Answer:
a) 
b) 0.1567
c)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $27,293 per year
Standard Deviation, σ = $7,235
We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.
a) Distribution of X
Let X be the cost for a randomly selected college. Then,

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

Calculation the value from standard normal z table, we have,

c) 70th percentile for the distribution.
We have to find the value of x such that the probability is 0.7
Calculation the value from standard normal z table, we have,
The 70th percentile for the distribution of college cost is $31,084.14
322/14 = 23
322 / 14
14 cannot go into 3, so 14 can go into 32 twice,
32-28 = 4 drop the 2
42. 14 can go into 42 3 times
42-42 = 0
Your answer is 23