The Hebrews were the only civilization who believed one God.
Answer:
Results:
0.1432
0.0045
0.0905
0.0483
Step-by-step explanation:
Step a:
P(A or 10, A or 10) = 20/52 * 19/51 = 5/13 / 19/51 = 95/663 = 0.1432
Step b:
P(A A) = 4/52 * 3/51 = 1/13 * 1/17 = 1/221 = 0.0045
Step c:
P(10 10) = 16/52 * 15/51 = 4/13 * 5/17 = 20/221 = 0.0905
Step d:
P(A 10 or 10 A) = 2 * 4/52 * 16/51 = 2/13 * 16/51 = 32/663 = 0.0483
As well we get the probability by subtracting a, b and c:
P(blackjack): 0.1432 - 0.0905 - 0.0045 = 0.0482
Answer:
a)
=0.89
b) 0.8413
Step-by-step explanation:
we know that
![P(║ x -\mu║ \leq k\sigma) \geq 1 -\frac{1}{k^2}](https://tex.z-dn.net/?f=P%28%E2%95%91%20x%20-%5Cmu%E2%95%91%20%5Cleq%20%20k%5Csigma%29%20%5Cgeq%201%20-%5Cfrac%7B1%7D%7Bk%5E2%7D)
![so, \mu = 150, \sigma = 20](https://tex.z-dn.net/?f=so%2C%20%5Cmu%20%3D%20150%2C%20%5Csigma%20%3D%2020)
![k = \frac{210 - 150}{20} =\frac{150 - 90}{20} = 3](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B210%20-%20150%7D%7B20%7D%20%3D%5Cfrac%7B150%20-%2090%7D%7B20%7D%20%3D%203)
![P(║ x -150 ║ \leq 3\times 20) \geq 1 -\frac{1}{3^2} = \frac{8}{9}](https://tex.z-dn.net/?f=P%28%E2%95%91%20x%20-150%20%E2%95%91%20%5Cleq%20%203%5Ctimes%2020%29%20%5Cgeq%201%20-%5Cfrac%7B1%7D%7B3%5E2%7D%20%3D%20%5Cfrac%7B8%7D%7B9%7D)
x - N(150, 20^2)
![P(X \leq 170) = 0.8413447](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20170%29%20%3D%200.8413447)
check
![P norm = \frac{170 - 150}{20}= 0.8413447](https://tex.z-dn.net/?f=P%20norm%20%3D%20%5Cfrac%7B170%20-%20150%7D%7B20%7D%3D%200.8413447)
Answer:
9x^4+3x^2 -6
Step-by-step explanation:
(3x^2-2)(3x^2+3)
expand to remove the bracket
9x^4 + 9x^2 -6x^2 - 6
9x^4 + 3x^2- 6
The domain of a function is the set of x values for which it is defined. The range of the given graph will be -2≤x<7.
<h3>What is the domain and range of a function?</h3>
The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
As it can be seen that the value on the y-axis is defined for every value of x between -2 to 7, also the value of x is also defined for x=-2.
Hence, the range of the given graph will be -2≤x<7.
Learn more about Domain and Range:
brainly.com/question/1632425
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