Answer:
Value of 26.93 will be exceeded 85% of the time.
Step-by-step explanation:
We are given that a random variable is normally distributed with a mean of 25 and a standard deviation of 5.
Let X = a random variable
So, X ~ N(
)
The z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean
= standard deviation
Now, we have to find that value which will be exceeded 85% of the time, i.e.;
P(X > 
) = 0.85
1 - P(X 
) = 0.85
P(X ) = 0.15
P( 
) = 0.15
P(Z ) = 0.15
Now, in the z table the critical value of whose less than area is 0.15 is given as 0.3853, i.e;
= 0.3853
= 25 + 1.9265 = 26.93
Therefore, value of 26.93 will be exceeded 85% of the time.
<span><span> {y,x} = {7,2}</span>
</span>System of Linear Equations entered :<span><span> [1] y - 6x = -5
</span><span> [2] y + x = 9
</span></span>Graphic Representation of the Equations :<span> -6x + y = -5 x + y = 9
</span>
Answer:The numbers are 162,164,166,168,
Step-by-step explanation:
The solution is in the attached
Answer:
D. 36.56 cm²
Step-by-step explanation:
The composite figure is composed of a rectangle and two semicircles.
The two semicircles makes 1 full circle.
Thus:
Area of the composite figure = area of rectangle + area of circle
= L*W + πr²
L = 6 cm
W = 4 cm
r = ½(4) = 2 cm
Area = 6*4 + π*2²
Area = 24 + 12.56
Area = 36.56 cm²
