Answer:
Average rate of change = 31
Step-by-step explanation:
Average rate of change: [f(b) - (f(a)] / (b - a)
a = 1 and b = 5
f(x) = x^3 - 50
[(-50 + 5^3 - (-50 + 1^3)] / 5 - 1
= (75+49)/4
= 31
Step-by-step answer:
The normal probability curve is symmetrical about the mean.
This means that for an event that is normally distributed, there is a 50% probability that it falls below the mean, and a 50% probability that it falls above.
From the given information, the mean is 20" and we need the probability that a given infant is longer than 20", namely the mean.
Therefore by the definition of the normal probability curve, there is a 50% probability that the length falls above 20".
This can be verified by referencing a normal probability table with Z=0, meaning at the mean, the probability is equal to 0.5 for Z<0, and therefore 0.5 for Z>0.
Z=(X-mean) / Standard deviation
When Z>0, X (measurement) is greater than the mean
When Z<0, X is less than the mean.
Answer:
n = 5/7 or 0.7
Step-by-step explanation:
The goal is to isolate the variable N. First, you distribute the fractions to their repsective parentheses.
1/2(5n + 8) = 3/4(12 - 6n)
2.5n + 4 = 9 - 4.5n
2.5n + 4.5n = 9 - 4
7n = 5
Divide both sides by 7, and you get n = 5/7 or 0.7
Answer:
:)
Step-by-step explanation:
28
/ \
2 14
/ \
2 7
Suppose the number is y >>>>>So y/2 +2y/3 <14
multiply both sides by 6>>>>>>>>>. 6y/2 +6x2y/3 <14x6
3y + 4y < 84
7y <84
y <84/7
y < 12
