Answer:
a) 0.71
b) 0.9863
Step-by-step explanation:
a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000
-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:
![P(X](https://tex.z-dn.net/?f=P%28X%3C500%2C000%29%3DP%28X%3D0%29%2BP%28X%3D500%29%5C%5C%5C%5C%3D0.34%2B0.37%5C%5C%5C%5C%3D0.71)
Hence, the probability of a house price below $500,000 is 0.71
b. -Let X be the mean price of a randomly selected house.
-Since the sample size 40 is greater than 30, we assume normal distribution.
-The probability can therefore be calculated as follows:
![P(X](https://tex.z-dn.net/?f=P%28X%3Cx%29%3DP%28z%3C%5Cfrac%7B%5Cbar%20X-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D%29%5C%5C%5C%5CP%28X%3C500%2C000%29%3DP%28z%3C%5Cfrac%7B500-403%7D%7B278%2F%5Csqrt%7B40%7D%7D%29%5C%5C%5C%5C%3DP%28z%3C2.2068%29%5C%5C%5C%5C%5C%5C%3D0.9863)
Thus, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
Starting from what I know (the difference between ribbons), I decided to go from the bottom and work my way up. I then noticed a pattern (each sum was three more of the previous one), and decided to keep my pattern of the three numbers but not have to do any major mental work and instead add three to the previous sum until I got to 38.
Answer:
Yes, No, No, No
Step-by-step explanation:
To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25
(-5)² + 0² = 25, = RHS [Yes]
1² + (√7)² = 8, ≠ RHS [No]
(√21)² + (-3)² = 30, ≠RHS [No]
0² + 7² = 49, ≠RHS [No]
Answer: (P.s its very hard to write special characters here, i hope this helped though)
((−6d0)(g−3))(h2)
d−5m3g−2h5
=
−6d5g2h2
g3h5m3
=
−6d5
gh3m3
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