Answer: The secretary's salary prior to the reduction was $42,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)
Mathematically speaking:
x (4.5/100)= 1890
Solving for x:
x (0.045)= 1890
x = 1890/ 0.045
x = 42,000
The secretary's salary prior to the reduction was $42,000.
<span>The average length of crocodiles in a swamp is 11.5 feet. if the lengths are normally distributed with a standard deviation of 1.7 feet, find the probability that a crocodile is more than 11 feet long.
solution:
To obtain P(x>11) we first need to obtain the value of the z-score:
z=(11-11.5)/1.7
thus
z=-0.2941
thus
P(x>11)=1-P(z<-0.2941)=1-0.3859=0.6141
</span>
hello :<span>
<span>an equation of the circle Center at the
A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a = -2 and b = 1 (Center at the A(-2,1))
r = AP......P( -4 , 1)
r² = (AP)²
r² = (4+2)² +(1-1)² = 36
an equation of the circle that satisfies the stated conditions.
Center at </span></span> A(-2,1), passing through P(-4, 1) is : (x+2)² +(y-1)² = 36
Answer:
8
Step-by-step explanation:
Let's start with a simple fact: two sides of an isosceles triangle must be equal. Let's suppose the missing side is 4
That would mean that 4 + 4 equals 8. You must pick a side that exceeds 8, but you loose the property of 2 sides need to be equal.
So the answer has to be 8. The final size of the sides is 4 8 and 8. 4 and 8 exceed the third side (8).
8 and 8 certainly exceed 4.