To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664
Answer: 0.8664
Answer:
x meters= 35
5x meters= 175
6x - 8 = 202
Step-by-step explanation:
x + 5x + (6x - 8)= 412
12x - 8= 412
12x = 412 + 8
12x = 420
x= 35
5x = 35× 5
= 175
6x - 8= 6(35) - 8
= 210 - 8
= 202
Answer:
64 boys.
Step-by-step explanation:
There are 3 girls for every 8 boys.
24/3 = 8
8 * 8 = 64
The answer is A because when you add the angles to get they equal 180. Then just solve for x.
The drawing isn't to scale
Answer:
Step-by-step explanation:
Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line
Having the point P(3,5) substitue x to verify y
y=2*(3)-1=6-1=5 (3,5)
Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

and we found the distance PQ and QA
;
, 
be the APQ triangle we must find <APQ through the cosine law (graph 2).