Answer:
0.1527
Step-by-step explanation:
Given that a researcher wishes to conduct a study of the color preferences of new car buyers.
Suppose that 50% of this population prefers the color red
15 buyers are randomly selected
Let X be the no of buyers who prefer red.
X has exactly two outcomes red or non red.
Also each buyer is independent of the other
Hence X is binomial with p = 0.5 and n = 15
Required prob =The probability that exactly three-fifths of the buyers would prefer red
= P(X=9)
= 
=
Answer: 700.067 g
Step-by-step explanation:
Given : The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate prescription.
We know that 1 gram= 1000 milligram
and 1 kilogram = 1000 grams
Then, By UNITARY METHOD, 
Now, We convert each amount of drug into grams as ,
AND
Now, the total drug used by Pharmacist (in grams) = 
Hence, Pharmacist used 700.067 g of total drug.
Answer:
the value of a, if points A and D belong to the x−axis and m∠BAD=60 degrees is 2/√3
Step-by-step explanation:
Trapezoid ABCD with height 2 unit contain Points A and D which may be A(-1,0) and D(5.0)
Vertex of parabola is the point where parabola crosses its axis
Let suppose A and D are two points then draw altitude on them CE where C is on AD
As height of altitude has been given that is 2 then
total angle = 180 degrees
m∠BAD=60 degrees
m∠CEA =180 - 60 -90
= 30
then the value for AE = 2/√3.
y=a(x+1)(x−5).
where 2/√3 is right of -1 and 2 unit above x-axis
Answer:
eq of the line is y=2.5x +5 for line
