Ume
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + 2y = 10 → (1)
2y² - 7y + x = 0 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 10 - 2y → (3)
Substitute x = 10 - 2y into (2)
2y² - 7y + 10 - 2y = 0
2y² - 9y + 10 = 0 ← in standard form
(y - 2)(2y - 5) = 0 ← in factored form
Equate each factor to zero and solve for y
y - 2 = 0 ⇒ y = 2
2y - 5 = 0 ⇒ 2y = 5 ⇒ y =
Substitute these values into (3) for corresponding values of x
y = 2 → x = 10 - 4 = 6 ⇒ (6, 2 ) → B
y = → x = 10 - 5 = 5 ⇒ (5,
) → A
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Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
The limit that 97.5% of the data points will be above is $912.
hello,
the first term is 250 so this is the initial invested amount
is to compute 8% annual interest compounded monthly (there are 12 months in a year)
and then multiply by 4 means that it is computed for 4 years so
finally the answer is
$250 is invested at 8% annual interest compounded monthly for 4 years
hope this helps