X=25 degrees
2x+3x+x+30 = 180
6x+30 = 180
180 - 30 = 150
6x = 150
150/6 = 25
X = 25
The z score that has 70.54% of the distribution area is 9.92
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
For the random variable x, the z-score is;
z = (x - 11)/2
therefore, 70.54% of the area under the curve lies to the right of x,
then the area to the left of x is;
100 - 70.54 = 29.46%
From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.
Therefore, we get;
(x - 11)/2 = -0.54
x - 11 = -0.54(2)
x = 9.92
The z score is 9.92
Learn more about z score here;
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Answer:
C. (6,2)
Step-by-step explanation:
(-2,-3) becomes (-2+8, -3+5), (6,2)
Answer:
67 square units
Step-by-step explanation:
Circumference/pi = diameter
29/3.14 = 9.24
Radius = 9.24/2 = 4.62
A = pi * r^2
A = 3.14 * 4.62^2 = 67 square units
Answer:
The right solution is:
(a) $1,940
(b) $2,813
Step-by-step explanation:
Given:
Invoice amount
= $8,400
Discount 1
= 33.33%
Discount 2
= 12.5%
So,
The net payable amount will be:
= ![8400\times [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ]](https://tex.z-dn.net/?f=8400%5Ctimes%20%20%5B1%20-%20%5Cfrac%7B100%7D%7B300%7D%20%5D%5Ctimes%20%5B1%20-%20%5Cfrac%7B12.5%7D%7B100%7D%20%5D)
= 
= 
($)
Now,
(a)
Amount paid will be:
= 
= 
($)
Balance still to be paid will be:
= 
= 
($)
(b)
Amount paid will be:
= 
= 
= 
($)
Balance still to be paid will be:
= 
($)
Thus the above solution is the appropriate one.
