Mx = Nx - Pt
To isolate 'x', we have to group all terms that have 'x' together
We have Mx on the left-hand side of the equation and Nx on the right.
Moving Nx to the left-hand side of the equation, we have:
Mx - Nx = Pt
From here we factorize 'x'
x (M - N) = Pt
Then we divide both sides by (M-N)
Kay = x
Mary is twice as old as Kay
⇒ Mary = 2x
Jane is 3 years older than Mary
⇒ Jane = 2x + 3
Answer: 2x + 3
First, you need to find the zero of x+3, which is -3
then you multiply -3×1, which equals -3
the reason why I multiplied -3×1 is because the 1 is the coefficient of x^2 but we just don't see it because we don't need to.
once we get -3 we add that to the next coefficient (-5)
-3+-5=-8
we take the sum (-8) and multiply that to -3 (the zero of x+3)
we get 24, so we add -22+24=2
-22 Is the next coefficient to come and 2 is our remainder
the new equation is: x-8 remainder 2
Answer:
The answer is 2,0
Step-by-step explanation:
I did it on desmos and here it is.
Please mark brainliest. THanks!!!
Answer:
C.I 99%(μ)= [10.3; 20.5]
Step-by-step explanation:
The confidence interval formula is:
I (1-alpha) (μ)= mean+- [(t(n-1))* S/sqrt(n)]
alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 1% because 100-99%
n= number of observations = 65
t(n-1)= is the critical value of the t distribution with 65-1 degrees of freedom for an area of alpha/2 (0.5%). In this case is 2.6603
<em>We use the t-student distribution because the population standard deviation is unknown. </em>
S= sample standard deviation. In this case 15.4
mean= 37.9
Then, the confidence interval (99%):
C.I 99%(μ)= 15.4+- [2.6603*(15.4/sqrt(65)]
C.I 99%(μ)= 15.4+- [5.0815]
C.I 99%(μ)= [15.4-5.0815; 15.4+5.0815]
C.I 99%(μ)= [10.3185; 20.4815]
C.I 99%(μ)= [10.3; 20.5]