Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.
Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.
Answer:
12 /67
Step-by-step explanation:
I added everything up to get 67 then I added independent and green together to get 12
Answer:
1. x=3,y=2
2.x=0,y=4
3.x=-3,y=6
4.x=6,y=0
Step-by-step explanation:
x=3, y=2
2(3)+3(2)=6+6=12
x=0, y=4
2(0)+3(4)=0+12=12
x=-3, y=6
2(-3)+3(6)=-6+18=12
x=6,y=0
2(6)+3(0)=12+0=12. Hope this helps!
Answer:
The area of the sector of the circle is approximately
Step-by-step explanation:
The given parameters of the circle having a shaded sector are;
The radius of the circle, r = 4 meters
The measure of the arc bounding the sector = 135°
The area of a sector of a circle, 'A', is given as follows;
Therefore, the area, 'A' of the given sector of the circle, is given as follows;
The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².
Answer:
Triangle ITA is the answer.
Step-by-step explanation:
<S = <I means that the triangle IRS is an isoscles.
The midpoint (T) cutting both congruent side length sides at the same angle means that Line TG and Line TA are equal.
Also T being the midpoint means Line TI = Line TS.
Given that angles <G and <A are same.
You can use SSA (side-side-angle) to prove triangles are congruent so line SG is equal to Line IA.
