Amount in the bank account = 1000(1 + 0.05)^5 = $1,276.28
Answer:
The value of x = 10.
Step-by-step explanation:
From the given triangle,
- The value of angle M = (3x + 28)°
- The value of angle K = (5x - 18)°
- The value of angle L = 90°
We know that the sum of a triangle is 180°.
i.e.
K + L + M = 180°
(5x - 18)° + 90° + (3x + 28)° = 180°
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
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Therefore, the value of x = 10
I think it is B. and the amount that they each need to pay is $1.13
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:

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:

Thus, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
432 million, 540 times .20 equals 108, subtract 108 from 540 and you get your answer