Answer:
D. (x, y) →
Step-by-step explanation:
A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.
When the dilation produces a smaller image is called a reduction.
Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.
Out of the options, the only one that has a scale factor less than one is:
(x, y) →
Since the scale factor is 1/2 which is less than 1.
All other options are not reductions.
Answer:
The relationship between n and t is n*t=1200 (option d)
Step-by-step explanation:
Two quantities are inversely proportional if when multiplying (or dividing) one of them by a number, the other is divided (or multiplied) by the same number. That is, two magnitudes are inversely proportional if when one increases, the other decreases in the same proportion.
Given two variables, x and y, with an inversely proportional relationship, the product of both is always constant and equal to the coefficient of proportionality:
x*y=k
where k is the coefficient of proportionality.
This means that knowing the value of the proportionality coefficient and the value of a variable, the value of the other variable can be known through the quotient between the proportionality coefficient and the value of the known variable:
The amount of the tip "t" each waiter receives after a wedding is inversely proportional to the number of waiters "n" serving the event. The total amount for tips at a wedding was $1,200.Taking into account the aforementioned definition of inversely proportional quantities, this can be expressed by:
n*t=1200
<u><em>The relationship between n and t is n*t=1200 (option d)</em></u>
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The following information about the mean and standard deviation has been provided:
ц=25, б=3,n=20
We need to compute Pr(X⁻≥26.3).
The corresponding z-value needed to be computed is:
Therefor, we get that