Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
Answer:
1
Step-by-step explanation:
We will consider only the last digit multiplication and the pattern.
When we multiply 843,219 with 843,219, we have
9 * 9 = 81 [1 is important]
1 * 9 = 9
9 * 9 = 81 [1 is important]
So when we multiply them out with each other, we have a pattern of
9, 1, 9, 1 ... goes on
So if we multiply 100 times, what will be the last digit of the series 9, 1, 9, 1 .... it will be 1
hence, last digit is 1
Slope is the rise and run of a point on the graph to the other
the y intercept is where a line crosses the y axis for example, (0,5) so 5 is the y intercept
(0,8), (1,10), (2, 12), (3, 14), (4, 16), (5, 18)
In an algebraic equation, you should have at least 2 variables: the independent and the dependent. The independent variable in this case, is the parameter that cannot be controlled - time. This is expressed in minutes using the variable x. The dependent variable is the parameter you want to measure - the distance expressed using the variable y. Since the problem states a parameter of distance in terms of 2 kilometers, y=2. Therefore, I think the choices would be about the amount of minutes it would take for Bradley to cover this distance. Assuming this is the case, then the answer would be:
2 = 2000 - 90x
90x = 2000-2
90x = 1998
x = 1998/90
x = 22.3 minutes
It would take 22.3 minutes for Bradley to cover the 2 kilometers so that he could get home.
Answer: The correct answer is c.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
