A rational number is a number that can be written into a fraction. pi, some square roots, e, etc., are irrational numbers(numbers that cannot be written into a fraction).
Using the normal distribution, the area underneath the shaded region <u>between the two z-scores</u> is given by:
C. 0.6766.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
Hence, for this problem, the area is the <u>p-value of z = 0.75 subtracted by the p-value of z = -1.3</u>.
Looking at the z-table, the p-values are given as follows:
Then:
0.7734 - 0.0968 = 0.6766.
Which means that option C is correct.
More can be learned about the normal distribution at brainly.com/question/15181104
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The midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
<h3>How to determine the midpoint of the line segment joining the points?</h3>
The points are given as:
S(8,3) and T(2,-1)
The midpoint of the line segment joining points S(8,3) and T(2,-1) is calculated as:
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5 * (8 + 2, 3 - 1)
Evaluate the sum
Midpoint = 0.5 * (10, 2)
Evaluate the product
Midpoint = (5, 1)
Hence, the midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
Read more about midpoint at:
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Answer:
1 : 2
Step-by-step explanation:
Given that,
amount of coloured fabric Gordon use to make his curtain = 24mm
amount of white fabric Gordon use to make his curtain = 1.2cm
To find,
ratio of the amount of white fabric to coloured fabric
1 cm = 10mm
1.2 cm = 1.2 * 10
= 12 mm
<h3>Ratio</h3>
12 / 24
1 / 2
1 : 2
So, ratio of the amount of white fabric to coloured fabric is 1 : 2
Answer:
Option C (None Of The Above)
Step-by-step explanation:
Given expression =
Lets multiply the numerator and denominator by -1.
Now , lets open the brackets.
But as this expression is not there in the given options , the correct answer will be Option C.