In a school, the ratio of soccer players to volleyball players is 4 : 1. The number of soccer players is how many times the numb
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Write the variables and constants on different sides
Add 2x to both sides
Add 5 to both sides
Hence, the equation is
Solving further [divide both sides by 5]
Answer:
Option c. Reflection across the x-axis and vertical stretch by a factor of 7
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If then the graph is compressed vertically by a factor a.
If then the graph is stretched vertically by a factor a.
If then the graph is reflected on the x axis.
In this problem we have the function and our paretn function is
therefore it is true that
.
Therefore the graph of is stretched vertically by a factor of 7 and is reflected on the x-axis
Finally the answer is Option c
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:
Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.