Answer:
hypotenuse
Step-by-step explanation:
It states that a2 + b2 = c2 for the sides of any right triangle (c is the hypotenuse, or longest side), AND it also states that if the three sides of a triangle obey this formula, they do form a right triangle. Since 6 is the longest sides, it would have to be the hypotenuse.
Okay so start with getting the x by itself
tan46 = x/12
multiply both sides by 12
12tan46 = x
put that into a calculator and you get:
x=12.4
Both of the Students are correct, where the units are the same in the beginning and at the end. If you divide 20 feet by 4, you get 5 feet or 60 inches. If you convert 20 feet to inches, you get 240 inches. When you divide 240 by 4, you get 60 inches. Therefore, they both are correct.
Answer:
66 inches ;
95.44 ;
4
Step-by-step explanation:
Given that:
Normal distribution with;
Mean(m) = 66 inches
Standard deviation (s) = 3 inches
A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches
B.) percentage horses who are between 60 and 72 inches
Zscore = ( x - m) / s
x = 60
Zscore = (60 - 66) / 3
Zscore = - 6/3
= - 2
P(Z < - 2) = 0.0228
Zscore = ( x - m) / s
x = 72
Zscore = (72 - 66) / 3
Zscore = 6/3
= 2
P(Z < 2). = 0.9772
Between 60 and 72
0.9772 - 0.0228 = 95.44
c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Zscore = ( x - m) / s
x = 63
Zscore = (63 - 66) / 3
Zscore = - 3/3
= - 1
P(Z < - 1) = 0.1587
0.1587 * 25 = 3. 967 = 4
Probability first one is blue is 4/6+4+4=4/14
the second one is also blue is 4-1/6+4+4-1=3/13
The probability of getting blue both time is 4/14*3/13=12/182=0.0659=6.59%
Answer:
0.0659 or 6.59%
