Answer:
a: 0.9544 9 within 8 units)
b: 0.9940
Step-by-step explanation:
We have µ = 300 and σ = 40. The sample size, n = 100.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.9544
Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find
P(289 < x < 311)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(289 < x < 311) = 0.9940
There you go hope that’s helps !!!
Please say brainliest.
The answer is yes.
Plug 4 in for the value of n so you have 4+8 is less than it equal to 13. And since 12 is less than 13 it is true, and a solution to the inequality.
Answer:
(0, 3 )
Step-by-step explanation:
Given the 2 equations
x + 3y = 9 → (1)
- 2x + 2y = 6 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the x- term
2x + 6y = 18 → (3)
Add (2) and (3) term by term to eliminate x, that is
0 + 8y = 24
8y = 24 ( divide both sides by 8 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
x + 3(3) = 9
x + 9 = 9 ( subtract 9 from both sides )
x = 0
solution is (0, 3 )
Answer:
Yes
Step-by-step explanation:
We have two properties for our question :
(4, 27)
y = 3x + 15
We are being asked whether the point (4, 27) is a solution of y = 3x + 15
So how do we figure this out? Well, what we have to know first that (4, 27) represents a variable, 4 which is the run on the graph, represents x in a solution. And 27 which is the rise on the graph, represents y in the solution. So when asking for a solution with two points, all we must do is substitute x and y for the two coordinates.
y = 3x + 15
y = 27 and x = 4
27 = 3(4) + 15
27 = 12 + 15
27 = 27
Since this equation is true with the respected variables, therefore signifies that (4,27) is a solution of y = 3x + 15
