Answer: 0.206
Step-by-step explanation:
Given that :
Height of American men is normally distributed :
Mean height (μ) = 69.7 inch
Standard deviation (σ) = 2.8 inch
Probability that height of a randomly selected man is more than 72 inches
P(X > 72)
Obtain the standardized score (Zscore):
Zscore = (x - μ) / σ
Zscore = (72 - 69.7) / 2.8
Zscore = 2.3 / 2.8
Zscore = 0.8214285
Zscore = 0.8214
Using the Z probability calculator ;
P(Z > 0.8214) = 0.20571
Probability of selecting a man whose height is more Than 72 is 0.206
Answer:
50 minutes
Step-by-step explanation:
1/2 hour = 30 minutes
1/3 hour = 20 minutes
30 + 20 = 50 minutes
Answer:
1 
4 1/4 - 2 1/3 = 23/12 (1.91...)
23/12 as a mixed number is 1 11/12.
The answer is 1 11/12. Hope it helps!
Answer:
first angle be 30°
second angle be 70°
third angle be 80°
Step-by-step explanation:
first angle be x
second angle be y
third angle be z
x+y+z=180
given, y+z = 5x; z=5x-y
also, z=y+10
5x-y = y+10
5x= 10+y+y = 10+2y
x= (10+2y)/5
x+y+z=180
(10+2y)/5 + y + y+10 = 180
(10+2y)/5 = 180 -2y -10
(10+2y)/5 = 170-2y
multiply both sides by 5
10+2y = 5(170-2y)
10+2y= 850-10y
2y+10y = 850-10
12y= 840
y= 840/12 = 70°
z=y+10 =70+10= 80°
5x= (10+2y) = 10+2(70) = 10+140= 150
x = 150/5 = 30°
Answer:
Step-by-step explanation:
p = Product of all odd integers between 500 an 598. So,
p = 501 x 503 x 505 ... x 595 x 597
q = Product of all odd integers between 500 and 602. So,
q = 501 x 503 x 505 ... x 595 x 597 x 599 x 601
From the above relations, we can see that q is equal to p multiplied by 599 and 601. i.e.
q = p x 599 x 601
or,
We need to evaluate 1p + 1q in terms of q. Using the value of p from above expression, we get:
