Answer:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
See explanation below.
Step-by-step explanation:
Develop the null and alternative hypotheses for this study?
We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Let's assume that the calculated statistic is 
Since is a right tailed test test the p value would be:
And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that 
And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
Answer: sin(34) = 0.52908268612
Answer:
D because y increases by 0 each time while x increases by 2 each time
A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).
A. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size (not an isometry). Forms similar figures or in other words preserves only angle measurement and ratio between sides lengths. In simple words, dilation means, it just resizes the given figure without rotating or anything else. It is not rigid transformation.
B. A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. Rotation is rigid transformation, it means that rotation preserves sides lengths.
C. In a reflection transformation, all the points of an object are reflected or flipped on a line called the axis of reflection. Under reflection, the shape and size of an image is exactly the same as the original figure. This type of transformation is rigid.
D. In a translation transformation all the points in the object are moved in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object. Same orientation means that the object and image are facing the same direction. This type of transformation is rigid.
Answer: correct choice is A.
Answer:
18 students is the amount that passed the test
so the fraction would be 18/24, which can be simplified to 3/4, which is 75% of the class.
75% of the class passed
0.75% of the class passed
