<span>First we calculate z using the formula:
z = (x - μ)/σ</span>
Where:
x = our variable, 10
μ = mean, 8
σ = standard dev, 2
Substituting known
values:<span>
z = (10 - 8)/2
z = 2/2
z = 1
Using the tables of
the normal distribution to find the p-value with z = 1
p = 0.8413
Since we want
"greater than 10”, we need to subtract the probability from 1
therefore
p* = 1 - 0.8413 = <span>0.1587</span></span>
Answer:
y = 1/7x + 88/7
Step-by-step explanation:
y = mx +b
since it is perpendicular you have to get the negative reciprocal of the slope which is 1/7
y = 1/7x + b then you would plug in your points
12 = 1/7(-4) + b and then solve for b
12 = -4/7 + b
+ 4/7
88/7 = b
y = 1/7x + 88/7
Well if you have a problem like -6 + 7, then you can use one color of algebra tiles(atls) for the negative and another color for positive. Take yellow for negative and red for positive for an example. You have 6 yellow and 7 reds. You want to make as many pairs of one red and one yellow. You can make a total of 6 pairs and a red left over. Since red is positive an there is only one, your answer is 1.
Hope i helped