Answer:
y = (1/5)x² or y = x²/5
Step-by-step explanation:
We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...
y = ax²
We know that when x = 5, y = 5, so we have
5 = a(5²) now simplify...
5 = 25a
5/25 = a
1/5 = a, so our equation becomes
(1/5)x² or x²/5 (the expressions are equal)
Answer:
At least 202.44 mm in the top 15%.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

How many yearly mm of rainfall would there be in the top 15%?
At least X mm.
X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.




At least 202.44 mm in the top 15%.
Answer:
125 is the square of 25 I hope
Step-by-step explanation:
<u>Statements Reasons </u>
1 . ∠ABC and ∠CBD are a linear pair Given
2. m∠CBD = m∠EFG Given
3 . ∠ABC and ∠CBD are supplementary Definition of linear pair
4. m∠ABC + m∠CBD = 180° Definition of supplementary
5. m∠ABC + m∠EFG = 180° Substitution property
6. ∠ABC and ∠CBD are supplementary Definition of supplementary
3 is the answe! Hope it helped