Answer:
0.2684 is the probability that the temperature reading is between 0.50 and 1.75.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 0 degrees
Standard Deviation, σ = 1 degrees
We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
P(Between 0.50 degrees and 1.75 degrees)
![P(0.50 \leq x \leq 1.75)\\\\ = P(\displaystyle\frac{0.50 - 0}{1} \leq z \leq \displaystyle\frac{1.75-0}{1})\\\\ = P(0.50 \leq z \leq 1.75)\\= P(z \leq 1.75) - P(z < 0.50)\\= 0.9599 - 0.6915 = 0.2684 = 26.84\%](https://tex.z-dn.net/?f=P%280.50%20%5Cleq%20x%20%5Cleq%201.75%29%5C%5C%5C%5C%20%3D%20P%28%5Cdisplaystyle%5Cfrac%7B0.50%20-%200%7D%7B1%7D%20%5Cleq%20z%20%5Cleq%20%5Cdisplaystyle%5Cfrac%7B1.75-0%7D%7B1%7D%29%5C%5C%5C%5C%20%3D%20P%280.50%20%5Cleq%20z%20%5Cleq%201.75%29%5C%5C%3D%20P%28z%20%5Cleq%201.75%29%20-%20P%28z%20%3C%200.50%29%5C%5C%3D%200.9599%20-%200.6915%20%3D%200.2684%20%3D%2026.84%5C%25)
0.2684 is the probability that the temperature reading is between 0.50 and 1.75.
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
![h(t) = -16t^2+50t+3](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%2B50t%2B3)
where t is the time in seconds.
After 3 seconds, t = 3:
![h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet](https://tex.z-dn.net/?f=h%283%29%20%3D%20-16%283%29%5E2%20%2B%2050%283%29%20%2B%203%20%5C%5C%5C%5Ch%20%3D%20-144%20%2B%20150%20%2B%203%20%3D%209%20feet)
The height of the ball after 3 seconds is 9 feet.
The distributive property: a(b + c) = ab + ac
7 × 7 = 7 × (10 - 3) = (7)(10) - (7)(3) = 70 - 21 = 49
7 × 7 = 7 × (5 + 2) = (7)(5) + (7)(2) = 35 + 14 = 49
You need to move the decimal point to be at 1.
Since this is a decimal, the power will be negative.
I had to move the decimal 6 places.
So,
1^-6
I hope this helps!
~kaikers
Answer:
x=10
Step-by-step explanation: