Answer:
4.87 to the fourth power
Step-by-step explanation:
You need to figure the mph for each person.
Maren drove 60 mph. No calculating needed there.
S drove 120/3 or 40 mph
T drove 84/1.2 mph or 70 mph
C drove 75/1/5 or 50 mph
The fastest was? (highest number is 70 as in Tomas)
Answer:$18.20
Step-by-step explanation: deposit means to put in, so you would subtract -$3.20 by $15 to get $18.20, which is his new balance.
<h3>
Answer: 4</h3>
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Work Shown:
![\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B72%7D%7D%7B%5Csqrt%7B8%7D%2B%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7B2%5Csqrt%7B36%2A2%7D%7D%7B%5Csqrt%7B4%2A2%7D%2B%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7B2%5Csqrt%7B36%7D%2A%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B4%7D%2A%5Csqrt%7B2%7D%2B%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7B2%2A6%2A%5Csqrt%7B2%7D%7D%7B2%2A%5Csqrt%7B2%7D%2B%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7B12%5Csqrt%7B2%7D%7D%7B2%5Csqrt%7B2%7D%2B%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7B12%5Csqrt%7B2%7D%7D%7B3%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7B12%7D%7B3%7D%5C%5C%5C%5C4)
Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that
to break up the roots.
<h2>
Answer with explanation:</h2>
Given : A standardized exam's scores are normally distributed.
Mean test score : ![\mu=1490](https://tex.z-dn.net/?f=%5Cmu%3D1490%20)
Standard deviation : ![\sigma=320](https://tex.z-dn.net/?f=%5Csigma%3D320)
Let x be the random variable that represents the scores of students .
z-score : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
We know that generally , z-scores lower than -1.96 or higher than 1.96 are considered unusual .
For x= 1900
![z=\dfrac{1900-1490}{320}\approx1.28](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B1900-1490%7D%7B320%7D%5Capprox1.28)
Since it lies between -1.96 and 1.96 , thus it is not unusual.
For x= 1240
![z=\dfrac{1240-1490}{320}\approx-0.78](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B1240-1490%7D%7B320%7D%5Capprox-0.78)
Since it lies between -1.96 and 1.96 , thus it is not unusual.
For x= 2190
![z=\dfrac{2190-1490}{320}\approx2.19](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B2190-1490%7D%7B320%7D%5Capprox2.19)
Since it is greater than 1.96 , thus it is unusual.
For x= 1240
![z=\dfrac{1370-1490}{320}\approx-0.38](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B1370-1490%7D%7B320%7D%5Capprox-0.38)
Since it lies between -1.96 and 1.96 , thus it is not unusual.