Answer:
A
Step-by-step explanation:
A is equal to 5d-5
I just went through all eh choices
It can’t be b or c becuase when distributed, it automatically is -5d+25 or vice versa with a different sign so their out
D is impossible becuase you can’t jsut flip a subtraction problem
And A is possible because adding a negative basically means subtracting so if flipped The signs have to change
Answer:
2138.85
Step-by-step explanation:
2250 decreased by 2% is
2% of 2250 subtracted from 2250
That’s
2% /100% x 2250
0.02 x 2250
45
So, decrease = 2250 - 45
= 2205
Now 2205 decreased by 3%
3% of 2205
3% /100% x 2205
0.03 x 2205
66.15
Decrease = 2205 - 66.15
= 2138.85
Answer:
0.8762 or 87.62%
Step-by-step explanation:
Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:
Our x value ranges from 10 to 26 therefore let x=10 and we obtain:
If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.
Now let's calculate the z value when x = 26 and so:
Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.
Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:
0.9992 - 0.1230 = 0.8762
or 87.62%
R = { (x,y): 3x-y=0 }
The condition is 3x=y so that's not going to be any of these things.
R is reflexive if (x,x)∈R for all x. Let's check.
3x - y = 3x - x = 2x ≠ 0 necessarily. NOT REFLEXIVE
R is symmetric if (x,y)∈R → (y,x)∈R. Let's check.
(x,y)∈R so
3x-y = 0
y = 3x
Is (y,x)∈R. That would be true if 3y-x=0
3y - x = 3(3x) - x = 8x ≠ 0 necessarily NOT SYMMETRIC
R is transitive if (x,y)∈R and (y,z)∈R → (x,z)∈R. Let's check.
3x-y = 0 so y=3x
3y-z = 0 so z=3y = 9x
3x - z = 3x - 9x = -6x ≠ 0 necessarily NOT TRANSITIVE
