Cross multiply by 10 then divide by 3 to get 4/3
Answer:
![\sqrt{a {}^{2} + \: b {}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7Ba%20%7B%7D%5E%7B2%7D%20%20%2B%20%20%5C%3A%20b%20%7B%7D%5E%7B2%7D%20%7D%20)
Step-by-step explanation:
Pythagorean theorem.
Answer:
The value is ![P(X \le 22) = 0.2](https://tex.z-dn.net/?f=P%28X%20%5Cle%2022%29%20%3D%200.2)
Step-by-step explanation:
From the question we are told that
The lower limit of the interval is ![a = 20](https://tex.z-dn.net/?f=a%20%3D%20%2020)
The upper limit of the interval is ![b = 30](https://tex.z-dn.net/?f=b%20%3D%20%2030)
Generally the cumulative distribution function for uniform distribution is mathematically represented as
![F(x) = \left \{ {{0 \ \ \ \ \ \ \ \ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for a \le x \le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \ for x > b}\right.](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cleft%20%5C%7B%20%7B%7B0%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20for%20x%20%3C%20a%20%7D%20%5Catop%20%7B%5Cfrac%7Bx%20-%20a%7D%7Bb-a%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20for%20%20a%20%5Cle%20x%20%5Cle%20b%20%7D%7D%20%5Catop%20%7B%201%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20for%20%20x%20%3E%20%20b%7D%5Cright.)
Generally the probability that an oil change job is completed in less than or equal to 22 minutes is mathematically represented as
![P(X \le 22) = \frac{22 - 20}{30 - 20 }](https://tex.z-dn.net/?f=P%28X%20%5Cle%2022%29%20%3D%20%20%5Cfrac%7B22%20-%2020%7D%7B30%20-%2020%20%7D)
=> ![P(X \le 22) = 0.2](https://tex.z-dn.net/?f=P%28X%20%5Cle%2022%29%20%3D%200.2)
Answer:
See below
Step-by-step explanation:
The pie chart gives the percentage of the $ 4675 that goes to each expense
Housing 16 % .16* 4675 = $ 748
Food 16% .16 * 4675 = $748
Childcare 18% .18 * 4675 = $ 841.50
Trnsport 13% .13 * 4675 = $ 607.75
etc I think you can do the others---- right ?
Answer:
base: 4
exponent: 3
numerator: 1
denominator: 64
Step-by-step explanation:
4^4 * 4^-2: Here you subtract 2 from 4 (just basic rules)
so you get 4^2/4^5
4^2/4^5: you subtract 5 from 2 (also basic rules)
then you would get 4^-3
To put in positive exponents you do 1/4^3
which gets you 1/64