<h2>
Answer:</h2><h2>
g = 2 and h = -5</h2>
Step-by-step explanation:
To find the product with unknown values of variables, multiply the terms and equate the value to the given product.
=
= ... (1)
Comparing eq(1) to the product given in question,
-8g = -1
g = 2
24 + gh = 14, sub g =2,
24 + 2h = 14
h = -5
Answer:
Step-by-step explanation:
x is tripled so it becomes 3x
it is decreased by 10 so it becomes 3x - 10
so the answer is <u><em>a) 3x - 10</em></u>
hope this helps
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Answer:
F(1,5)
Step-by-step explanation:
This is a vertical parabola.
The vertex is at (1,4).
The directrix is y=3.
The distance from the vertex to the directrix is p=1
The focus is (1,4+p), which is (1,4+1)
Therefore the focus is (1,5)
Answer:
Test score of 75.7.
Step-by-step explanation:
Problems of normal distributions 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.
The results are normally distributed with a mean test score of 60 and a standard deviation of 8.
This means that
Calculate the test score above which 2.5% of all test scores lie.
Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.
Test score of 75.7.