Answer:
1/4
Step-by-step explanation:
There are 3 even numbers of the 6 numbers on a die.
(1,2,3,4,5,6) are the possible numbers. 2,4,6 are even
P( even number ) = 3/6 = 1/2
P (heads) = 1/2
Since they are independent events, we can multiply the probabilities together
P (even, heads) = 1/2 * 1/2 = 1/4
Answer:
True.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. this makes it possible for the triangle to be formed.
Answer:
a) 16%
b) 2.5%
Step-by-step explanation:
a)
The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).
To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%
b)
The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).
You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%
Answer:
B) P = 8x + 4
Step-by-step explanation:
Formula:
P= 2( l + w)
P = 2( x + 2 + 3x)
P = 2(4x + 2)
P = 8x + 4
Answer:
x=10
Step-by-step explanation:
x^2 - 10 - (9x) = 0
x^2 - 9x - 10 = 0
(x - 10) + (x + 1) = 0
x= 10
x = -1
