Answer:
c. 0.0142
Step-by-step explanation:
1) 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".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Solution to the problem
We want this probability:
The question on this case is ".Find the probability that the average price for 30 gas stations is less than $4.55". So then our value for n=30.
If we apply the formula for the z score to our probability we got this:
And using the normal standard table or the following excel code we calculate the probability "=NORM.DIST(-2.19,0,1,TRUE)"
Answer:
The expression representing Number of the necklaces after h hours is .
Step-by-step explanation:
Given:
Number of necklaces in the beginning = 20
Number of necklaces made per hour = 4
Number of necklaces to be made = 50
We need to write the expression that represents the number of necklaces we have after h hours.
Solution:
Let the number of hours be denoted by 'h'.
now we can say that;
Number of the necklaces after h hours can be calculated by Number of necklaces in the beginning plus Number of necklaces made per hour multiplied by number of hours.
framing in equation form we get;
Number of the necklaces after h hours =
Hence The expression representing Number of the necklaces after h hours is .
The probability that it would be a 3 or a 6 is 1/6
Answer:
A'(-1,-4)
B'(-5,-8)
C'(-5,-4)
D'(-4,-2)
Step-by-step explanation:
We have been given a graph of a quadrilateral and we are asked to find the coordinates of our quadrilateral after reflecting it across the x-axis.
We can see that coordinates of quadrilateral ABCD are:
A (-1,4),
B (-5,8),
C (-5,4),
D (-4,2).
Since we know that rule for reflecting an image across x-axis is . This means that y-coordinates of our given image will be negative.
So after reflecting our given quadrilateral across x-axis, coordinates will be: