The points scored in a basketball game by the individual players of two teams, High Rangers and Rising Stars, is recorded during
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Answer:
The number of newborns who weighed between 1614 grams and 5182 grams was of 586.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean weight was 3398 grams with a standard deviation of 892 grams.
This means that
Proportion that weighed between 1614 and 5182 grams:
p-value of Z when X = 5182 subtracted by the p-value of Z when X = 1614.
X = 5182
has a p-value of 0.9772
X = 1614
has a p-value of 0.0228
0.9772 - 0.0228 = 0.9544.
Out of 614 babies:
0.9544*614 = 586
The number of newborns who weighed between 1614 grams and 5182 grams was of 586.
The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.
<h3>What is Supplementary angle?</h3>When two angles are said to be supplementary angles if their sum is 180 degrees.
A triangle is shown with its exterior angles.
The interior angles of the triangle are angles 2, 3, 5.
The exterior angle at angle 2 is angle 1.
The exterior angle at angle 3 is angle 4.
The exterior angle at angle 5 is angle 6.
We know that the sum of interior and exterior angle of the triangle is 180 degrees.
∠1 + ∠2 = 180°
∠3 + ∠4 = 180°
∠5 + ∠6 = 180°
Then the correct option is C.
More about the Supplementary angle link is given below.
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