Answer:
And we can use the complement rule and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution of X is normal then the distribution for the sample mean is given by:
And we can use the z score formula given by:
And using this formula we got:
And we can use the complement rule and we got:
Answer: the probability is 0.49
Step-by-step explanation:
Since the account balances at the large bank are normally distributed.
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = account balances.
µ = mean account balance.
σ = standard deviation
From the information given,
µ = $1,637.52
σ = $623.16
We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650. It is expressed as
P(x > 1650) = 1 - P(x ≤ 1650)
For x = 1650,
z = (1650 - 1637.52)/623.16 = 0.02
Looking at the normal distribution table, the probability corresponding to the z score is 0.51
P(x > 1650) = 1 - 0.51 = 0.49
O?
A. (-6, -5)
B. (-2, 4)
C. (6,4)
D. (8,8)
Answer:
B
Step-by-step explanation:
If the point lies on the circle, the distance of the point to the center would be equivalent to the circle's radius since radius is defined as the distance from the center to any point of the circle.
Since length of a radius is half of a diameter,
radius= diameter ÷2
radius= 12 ÷2
radius= 6 units
Let's find the length between each points to see which is equal to 6 units, using the distance formula below.
A. Distance between 2 points
(to 5 s.f.)
Since the distance is greater than 6 units, point A lies outside the circle.
B. Distance between 2 points
Since the distance of B from the center is 6 units, pointB lies on Circle O.
Let's check the other 2 points:
C. Distance between 2 points
Since the distance of point C from the center is greater than 6 units, point C lies outside the circle.
D. Distance between 2 points
(to 5 s.f.)
Point D also lies outside Circle O.
Answer:
The correct answer is -2.
Step-by-step explanation:
"z" = 3+2i, which is (3, 2i) on the graph. You must multiply -2 by 3 and 6, which will give you the plot points for z1, (-6, -4i).
A negative number multiplied into a positive number will result in a negative number.
Therefore, -2 is the correct answer.
Answer:
-2
Step-by-step explanation:
just did it
Answer:
ways and answer are in paper
^^^^^^^
Answer:
14,500 m
Step-by-step explanation:
1 km is 1000 m, so 4 km = 4000 m.
Zoe walks 4000 +600 = 4600 m.
Elijah runs 3(4600 m) = 13,800 m.
Anthony rides 700 m farther, so rides ...
13,800 m +700 m = 14,500 m
Anthony rides 14,500 meters.