Let X be a random sample representing the score of a student in the American Chemical Society Examination.
P(450 < x < 500) = P((450 - 500)/(90/sqrt(25)) < z < (500 - 500)/(90/sqrt(25))) = P(-2.778 < z < 0) = P(z < 0) - P(z < -2.778) = P(z < 0) - [1 - P(z < 2.778)] = P(z < 0) + P(z < 2.778) - 1 = 0.5 + 0.99727 - 1 = 0.49727 = 49.7%
We know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos
C------> cos C=[a²+b²-c²]/[2*a*b]
in this problem
a=7.6 in
b=8.6 in
c=7.4 in
C=angle V
cos C=[7.6²+8.6²-7.4²]/[2*7.6*8.6]----> 0.5887
C=arc cos (0.5887)--------> C=53.93°-------> C=53.9°
the answer is
angle V is 53.9°
Answer:
422.39 sq cm
Step-by-step explanation:
Find the area of the circle and subtract the area of the rectangle from it.
Circle area: pi*12^2, 144pi sq cm
REctangle area: 10*3=30sq cm
144pi-30≈422.39
Answer: He will spend $7.50 & save $2.50
Step-by-step explanation: So if shawn downloads 5 movies at $2 a piece, that makes 10 dollars worth of movies, but it he gets a 25% discount that means he spends $2.50 less than $10 which is $7.50.
The possibility of flipping heads is 1 in 2 (1/2)
the possibility of pulling a black card is 26 in 52 (26/52) which equals 1 in 2 (1/2)
multiply those together and you get 1 in 4, 1/4, or a 25%
