Answer:
p value =0.544
Step-by-step explanation:
Given that in a survey, 33% of the respondents stated that they talk to their pets on the telephone.
(left tailed test at 1% level)
Sample proportion p =
Assuming H0 to be true, std error of proportion
=
p difference = -0.0233
Test statistic Z = p difference/std error
= -0.6067
p value = 0.544
Since p > alpha, we accept H0
Answer:
<h2>Triangle A B C. Angle B is a right angle.</h2>
Step-by-step explanation:
A dilation with a scale factor of 2 represents a transformation where the preimage ABC would be smaller and the triangle A'B'C' would be twice bigger. That means, the pre-image will be inside the image.
Also, as you can observe in the image, angle B is a right angle. Triangle A'B'C' has B' as a right angle too.
Additionally, line segment B'C' is twice bigger than line segment BC, because the preimage is smaller.
Therefore, the only right answer is the first one.
What 3D figure/shape is it?
Answer:
The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR
Step-by-step explanation:
Given DF/PR = FE/RQ = 3/2
The Side Side Side, SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar
Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.
If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.