Hopefully you can read cursive writing (: hope this helps!
His speed is 6 2/3 mi/hr.
Our equation is 4 = 3/5s; to solve this, we want to divide both sides by 3/5:
4 ÷ 3/5 = (3/5s) ÷ 3/5
4/1 ÷ 3/5 = s
4/1 × 5/3 = s
20/3 = s
6 2/3 = s
First, you have to round the .1, which would be .0. Next, you round 19.0, or just 19, to the nearest 10, which is 20. Therefore, 19.1 rounded to the nearest 10 is 20.
Answer:
4,050 cubic feet
Step-by-step explanation:
Split into a cube and a pyramid, calculate volume of each, then add together for total volume.
Volume of a cube is V=lwh
Volume of a pyramid is V=
![\frac{lwh}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Blwh%7D%7B3%7D%20)
so cube first...
15×15×15=3,375
now pyramid...
15×15×9=2,025
2,025/3=675
Now add both together for total volume...
3,375+675=4,050
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%.