Answer:
When x = 72, the z score is:
The average is 58
This z-score indicates that x= 72 is 1.273 standard deviations above the mean.
Step-by-step explanation:
Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.
Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is
In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:
The formula for the z score is as follows:
By substituting values, we derive:
The mean is 58
This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.
Answer:
AC and OA
Step-by-step explanation:
-A secant refers to a line that intersects two points on a circle.
-We have a square OABC with each side measuring 6cm and a circle with radius r=5cm, centered at O. The circle's radius is shorter than the side of the square:
-The circle intersectsOA andOC, while it does not intersect AB and BC.
Therefore, AC and OA serve as secants for the circle.
Using the identity sin(a-b) = sina.cosb - cosa.sinb
, with a set to 70 and b to 10, we find that sin(70-10) equals sin(60) which is √3/2
. Thus, Sin70cos10 - cos70sin10 results in sin60 = √3/2
.
To start, calculate the return for each
price per unit
Return = quantity sold x price
per unit
Return1 = 5000 units x Php 900
Return1 = Php 4,500,000
Next, figure out the return for the other price per
unit
Return2 = quantity sold x
price per unit
Return2 = (5000 + 1500 units) x (
Php 900 – 100)
Return2 = Php 5,200,000
Thus, a price of Php 800 per unit will result in a higher return.
