Answer:
a) 2.5% b) 50%
Step-by-step explanation:
1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.
The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.
First find the area of the rectangle, then remove the circular area.
AB * AJ = 8 * 18 = 144 sq cm
Circle =
=
=3.14 * 16
=50.24 sq cm
144 - 50.24 = 93.76 sq cm shaded area.
Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x
∴ 10 teeth must go on the driven gear
hence ratio = 34:10
Answer: g=2
Step-by-step explanation:5.5g+3=2.5g+9
We move all terms to the left:
5.5g+3-(2.5g+9)=0
We get rid of parentheses
5.5g-2.5g-9+3=0
We add all the numbers together, and all the variables
3g-6=0
We move all terms containing g to the left, all other terms to the right
3g=6
g=6/3
g=2
Step-by-step Answer:
A dilation about (0,0) or origin has the rule
(x,y) -> (kx,ky)
where k is the scale factor, (x,y) denotes the preimage, and (kx,ky) denotes the image.
For B(-8,-2), and k=12,
we have
B'(-8*12,-2*12) = B'(-96,-24)
