Answer:
The anwser is d
Step-by-step explanation:
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Y = 3(x+ 4)^2+ 4 plz find the vertex and whether the graph has a minimum or maximum point
1 answer:
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Answer:
The transformation is called Translation.
Step-by-step explanation:
We have different types of transformation:
Translation: A translation or slide is an isometry in which all points of a figure move the same distance and in the same direction.
Reflection: A reflection is an isometry in which the preimage and the image have opposite orientations. In other words, the image appears backwards.
Rotation: A rotation is an isometry in which a figure has been rotated or turned around a point called center of rotation.
Dilation: A dilation could be an enlargement or a reduction.
In Geometry, "Translation" simply means Moving without rotating, resizing or anything else, just moving.
To Translate a shape: Every point of the shape must move;
the same distance
in the same direction.
So, in this question XYZ translate to since every point move in the same distance and same direction.
Answer:
If we compare the p value and the significance level given and we can see that
so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the average speed is lower than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side test the p value would be:
Conclusion
If we compare the p value and the significance level given and we can see that
so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.