Answer:
1200
Explanation:
y represents the estimated population
t represents the number of years.
The equation that predicts the population after t years is given as:
Substitute t = 3/2 into the equation
The closest valuie to the value of y is 1200
Recall that for |<em>x</em>| < 1, we have
Differentiating both sides gives
and multiplying both sides by 8 gives the series for <em>f(x)</em> :
and this converges over the same interval, |<em>x</em>| < 1, so that the radius of convergence is 1.
Wj30uojwo;sfo;oshuiogvbfdnjyiphjeiohdg
Answer: fluffy is 11 years old
Scuffy is 8 years old
Step-by-step explanation:
Let x represent the present age of Fluffy the cat.
Let y represent the present age of Scuffy the dog.
Fluffy the cat is 3 years older than Scuffy the dog. This means that
x = y + 3 - - - - - -- - - - - 1
Six less than five times Scruffy's age is one more than three times Fluffy's age. This means that
5y - 6 = 3x + 1
5y - 3x = 1 + 6
5y - 3x = 7 - - - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
5y - 3(y + 3) = 7
5y - 3y - 9 = 7
5y - 3y = 7 + 9
2y = 16
y = 16/2 = 8
x = y + 3
x = 8 + 3 = 11
Answer:
a) M =82
Step-by-step explanation:
Let´s study this as a Normal distribution.
As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))
where
X = mean for the taken sample = What we want to know in this problem
μ = Total population mean =80
sd= standard deviation= 12
n = sample size=9
So in this case z=( X-80)/(12/sqr(9))= (X-80)/4
also we know that the effect size taken by the machine is 0.5, which is the same as the z-score
so...
0.5 = (X-80)/4 => 0.5*4 = X-80
2+80 = X
X = 82
