Answer:
The variance of the total number of points she scores from these shots is 4.8951.
Step-by-step explanation:
For each 3-point shot that she takes, there are only two possible outcomes. Either she makes it, or she misses. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution:
Probability of exactly x sucesses on n repeared trials, with p probability.
Has the variance given by:

In this problem, we have that:
She takes 7 shots, each one with a 37% probability of success. So
. So:

This is the Variance of the number of shots that she makes. Each shot is worth three points. So the variance of the total number of points she scores from these shots is 3*1.6317 = 4.8951.
a is correct
Step-by-step explanation:
Area of Bigger rectangle = 4x2 + 5x - 2
Area of Smaller rectangle = x2 + 3× + 5
diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)
= 4x2 + 5x -2-x2 - 3x - 5
= 3x2 + 2x - 7
St ÷ 6r
(32)(45) ÷ 6(5)
1440 ÷ 30
48
Given that:
In ∆AMN and ∆TPE
MA = PE (Side )
∠AMN = ∠TPE (angle)
MN = PT (Side)
By SAS Property
∆ MAN =~ ∆ PET
∆ MAN =~ ∆ PET are congruent triangles .
<u>Answer:-</u> ∆ MAN =~ ∆ PET
<em>Additional</em><em> comment</em><em>:</em>
SAS Property:-
In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.
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