Answer:
13.57 < µ < 15.43
Step-by-step explanation:
Assume: We have to assume the sample comes from a normally distributed population because we do not know the population standard deviation.
We assume that it was a random sample.
Do not assume: The sample size is at least 30 because we are that it's 10. Don't assume the variance is less than the mean because we can calculate it and will know for sure.
To find a 90% confidence interval we need to find the sample mean and sample standard deviation. See attached photo 1 for the calculations
See attached photo 2 for the construction of the confidence interval
Answer:
hexagonal pyramid
Step-by-step explanation:
i don't know exactly
Both of the fractions can be added since they both have 8 as the denominator 3/8+5/8=8/8 which is a whole.
Answer:
Option D The solution of the system is the point (-3,5)
Step-by-step explanation:
we have
x+y=2 -----> equation A
y=-2x-1 ------> equation B
Solve the system by substitution
Substitute the equation B in equation A and solve for x
x+(-2x-1)=2
-x-1=2
x=-2-1
x=-3
Find the value of y
y=-2x-1
y=-2(-3)-1
y=5
therefore
The solution of the system is the point (-3,5)
The answer is (-21, 13) for The second endpoint.
Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Kx + Lx)/2 = Mx
(Kx + 1)/2 = -10
Kx + 1 = -20
Kx = -21
And now we do the same thing for y values
(Ky + Ly)/2 = My
(Ky + 7)/2 = 10
Ky + 7 = 20
Ky = 13
This gives us the final point of (-21, 13)
