Answer:
I think that it is 0.9.
Step-by-step explanation:
-11-(-11)=0. Then 7-(-2)=9
Answer:
0.078 or 7.8%
Step-by-step explanation:
Mean salary (μ) = $37,764
Standard deviation (σ) = $5,100
The z-score for any given teacher's salary in California, X, is determined by:
![z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
For X = $45,000:
![z=\frac{45,000-37,764}{5,100}\\ z=1.419](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B45%2C000-37%2C764%7D%7B5%2C100%7D%5C%5C%20z%3D1.419)
A z-score of 1.419 corresponds to the 92.20th percentile of a normal distribution. Therefore, the probability that a salary is greater than $45,000 is:
![P(X>\$45,000) = 1-0.9220\\P(X>\$45,000) = 0.078=7.8\%](https://tex.z-dn.net/?f=P%28X%3E%5C%2445%2C000%29%20%3D%201-0.9220%5C%5CP%28X%3E%5C%2445%2C000%29%20%3D%200.078%3D7.8%5C%25)
The probability is 0.078 or 7.8%.
Answer: figures C and D.
Explanation:
The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.
1) Figure A. It is a slant cone.
Dimensions:
- slant height, l = 6 cm
- height, h: 5 cm
- base area, b: 20 cm²
The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.
Formula: V = (1/3)(base area)(height) = (1/3)b·h
Calculations:
- V = (1/3)×20cm²×5cm = 100/3 cm³
2. Figure B. It is a right cylinder
Dimensions:
- base area, b: 20 cm²
- height, h: 6 cm
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20 cm²· 6cm = 120 cm³
3. Figure C. It is a slant cylinder.
Dimensions:
- base area, b: 20 cm²
- slant height, l: 6 cm
- height, h: 5 cm
The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20cm² · 5cm = 100 cm³
4. Fiigure D. It is a rectangular pyramid.
Dimensions:
- length, l: 6cm
- base area, b: 20 cm²
- height, h: 5 cm
Formula: V = (base area) (height) = b·h
Calculations:
- V = 20 cm² · 5 cm = 100 cm³
→ Now, you have found the two figures with the same volume: figure C and figure D. ←
b= 14 because the formula to find a triangles area is 0.5bh. So, you take 147 and divide it by 21 then multiply the answer of that (which is 7) by 2 because the reciprocal of 0.5 is 2.
It is simpler than you would probably expect, really all you have to do is divid 89.08 by 4, and if you do it right you should get $22.27. So, in other words, the answer is (A). I hope this helps :)