Answer:
And we can use the normal standard distribution or excel to find this probability and we got:
Step-by-step explanation:
We define the parameter as the proportion of students at a college who study abroad and this value is known 
, we select a sample size of n =40 and we are interested in the probability associated to the sample proportion, but we know that the distirbution for the sample proportion is given by:
And the paramters for this case are:
We want to find the following probability:
For this case since we know the distribution for the sample proportion we can use the z score formula given by:
Replacing the info given we got:
And we can use the normal standard distribution or excel to find this probability and we got:
Answer:
(6,1)
Step-by-step explanation:
using substitution we find x=y+5, then we plug into the equation and find y and then using y we can find x
hope it helps!
Answer:
Figure b
Step-by-step explanation:
A translation is when a shape hoves to different coordinates but doesn't change size.
Answer:
Options (A), (B)
Step-by-step explanation:
Option A.
Two sides of the given triangle are equal. Therefore, the given triangle is an isosceles triangle.
Option (B).
Given triangle has a right angle. Therefore, it's a right triangle.
Option (C).
Only two sides of the given triangle are equal. Therefore, it's not an equilateral triangle.
Option (D).
Although this triangle has two acute angles (less than 90°) but the third angle is 90°. Therefore, this triangle is not an acute triangle. It's a right triangle.
Option (E).
A scalene triangle is a triangle having all sides different in measure but the given triangle is an isosceles triangle. Therefore, it's not a scalene.
Option (F).
Any angle of this triangle is not more than 90°. Therefore, the given triangle is not an obtuse triangle.
