Using the formula <span>Z = (X - μ) / σ, X being 900, </span>μ being 1100, and <span> σ being 100, we can get the Z-score of -2.</span>
Answer:
40%
Step-by-step explanation:
X + y = 120000
0.15x - 0.10y = 5500
Multiply both sides of bottom by 100 to remove decimals
x + y = 120000
15x - 10y = 550000
Multiply both sides of top by 10
10x + 10y = 1200000
15x - 10y = 550000
Add the two
25x = 1750000
x = 70000
He paid $70,000 for the property that made a profit, and paid $50,000 for the property that lost value.
Answer: a) 0.7
b) 70%
Step-by-step explanation:
a) There are 10 marbles.The red marbles are 7
so that 7/10
then change to decimal 7/10=0.7
b) if we get percentage *100
so, 7÷10*100%
70%
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.