Slope formula:
y2-y1
-------
x2-x1
48)
1-3 -2
---- = ----
-2-4 -6
So the slope of MN is 1/3
Answer:
62%
Step-by-step explanation:
31/50 is also equal to 62/100 (if we multiply the numerator and denominator by 2). 62/100 is 62%.
9514 1404 393
Answer:
B) 171 units^2
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Filling in the given base and height values, we find the area to be ...
A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units
_____
<em>Additional comment</em>
You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.
__
Multiplication by 9 is not so hard. It is multiplication by 10-1:
15×9 = 15×(10 -1) = 150 -15 = 135
Answer: a) 0.5636 b) 0.7881
Step-by-step explanation:
We assume that women’s heights are normally distributed .
Let x be the random variable that represents the shoe sizes.
Also, The population mean =
; Standard deviation: 
a) Formula for z:-

Put x= 64, we get

Now, the probability that the male shoe sizes are greater than 8 :-

Hence, the probability that her height is less than 64 inches = 0.5636
b. Sample size : n= 25
Then , the formula for z :-

Put x= 64, we get

Then, the probability that they have a mean height less than 64 inches.:_

Hence, the probability that they have a mean height less than 64 inches. =0.7881