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
Answer: what math work
Step-by-step explanation:
For this specific equation we have to use something called factor by grouping to simplify the equation. This is done by using like terms. To began ill break the equation into two groups.
i) (1)12x^3-60x^2
(2) 4x-20
ii) Now we look for like terms and simplify
(1) 12x^2(x-5)
(2) 4(x-5)
iii) Now we put them back as they were in the equation
12x^2(x-5) + 4(x-5)
iv) Now the x-5 factors out
we have (x-5)(12x^2+4)
Lasty, we simplify it to:
(x-5)4(3x^2+1) or 4(3x2 + 1)(x-5)
The last choice given in the answer bank.
Hope this helps, good luck.
A percentage is the ratio of a number to 100
Hope this helps
Answer:
It is scalene and acute.
Step-by-step explanation:
Since it has all acute angles, it is an acute triangle, and since none of the sides are equal or congruent, it is scalene.
