The original value of x was negative, then –x, the opposite-signed version of x, would have to be positive. For instance, if I start with x = –3, then –x = –(–3) = +3, which is positive.
Answer:
By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.
Step-by-step explanation:
For examples,
Let's consider squares of 3, 11, 25, 37 and 131.
8 is a multiple of 4, and 9 is more than 8.
120 is a multiple of 4 and 121 is one more than it.
624 is a multiple of 4 and 625 is one more than it.
1368 is a multiple of 4 and 1369 is one more than 1368.
17160 is a multiple of 4.
Answer:
For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.
Step-by-step explanation:
Given:
Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)
Let's find the Z score.
Z =
Now plug in the given values in the above formula, we get
Z =
Now we have to use the z-score table.
The z-score for 0.71 is 0.2611
Since it z is negative, so we subtract 0.2611 from 0.5000
0.5000 - 0.2611 = 0.2389
Percentage = 0.2389 × 100 = 23.89%
To find replaces for 1000 pairs, we need to multiply 23.89% by 1000
=
= 239
The cannot be in decimal, when we round off to the nearest whole, we get
239
Answer:
(-2,-12), (-1,-6), (0,-3) and (1,-3/2)
Step-by-step explanation:
g(x) = -3(1/2)^x
Putting values of x
x g(x)
-2 -3(1/2)^-2 = -12
-1 -3(1/2)^-1 = -6
0 -3(1/2)^0 = -3
1 -3(1/2)^1 = -3/2
Now, making the graph we will plot
(-2,-12), (-1,-6), (0,-3) and (1,-3/2)
The graph is shown in figure below.
Well the 2 in the tens place is ten times as many as the 2 in the hundreds place.Also the 5 in the thousand place is 10 times as many as the 5 in the ten thousand place