The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes.
To do the opposite, take the original slope (-3) and change the sign (3).
To do the reciprocal, take the slope we changed (3) and flip it as a fraction (1/3).
This gives us a new slope of 1/3.
Answer:
Step-by-step explanation:
1. -2x+9+5x+6
2. (7-2x)+(3x-11)
3. -3x+64x
4. 4-7+6x-4x+3
5. 9x-2(3x-11)
Answer:
Step-by-step explanation:
Given that a confidence interval was constructed using the sample standard deviation, say CI-1.
We then construct a confidence interval with the same numerical values of sample mean, standard deviation, and sample size, but this time assuming the population standard deviation is known, say CI-2.
When population std dev is known we use std error =
For sample std deviation s, we use std error =
When s= sigma, there will not be any difference between these two confidence intervals.
So answer is equal.
Answer:
Step-by-step explanation:
The following statements are true
- The expression -(-3.5) is equivalent to 3.5. The product of 2 minus sign will give a positive sign i.e -*- = + hence -(-3.5) = (-*-)*35 = +35 = 35.
- The opposite of 0 is itself. There is no negative value of zero hence 0 is still the same as -0 making the opposite of zero to still be be zero. The minus sign in -0 is insignificant due to the insignificance of the zero digit.
- The opposite of -3.5 is located 3.5 units to the right of 0 on the number line. Fora number line, the origin is always located at the centre. The value to the right are along the positive x-axis and are all positive values while the values located towards the left are the negative x-axis. The opposite value of - 3.5 is gotten by negating the value of -3.5 i.e -(-3.5) to give +3.5 and +3.5 is a positive value which is located towards the right of a number line.
This makes the fourth statement to be False