Answer: 54°
Step-by-step explanation:
We can see that this triangle is a right triangle (look at the little square in the triangle's corner-- that tells us that it's a right angle). A right angle is 90°
A triangle always has 180° in total.
So, we can add 90° and 36° and subtract the sum from 180°
180° - (90° + 36°) = 180° - 126° = 54°
Check 202 was written out for 68.28. You know this given the previous balance of 538.65 and the resultant balance of 470.37.
538.65-470.37=68.28
the next transaction of deposit of 400.00 gives a balance of 1170.37.
The next check 203 was written for 499.39 given the previous 1170.37 balance minus the subsequent balance of 670.98=499.39
Answer:
Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.
Step-by-step explanation:
We are given the following information:
A hypothesis test to support the given claim that the proportion of Americans that have seen a UFO is less than 5 in a thousand.
Type I error:
- Type I error is the rejection of a true null hypothesis that is we reject the null hypothesis given it is true.
- It is also known as a false positive.
First, we design the null and the alternate hypothesis
Thus, for the given hypothesis test, we describe type I error as:
Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.
When you divide same numbers with exponents you would subtract the exponent: a^2/a^1 = a^(2-1) = a
Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8
Solution: C
Answer:
From the given triangle figure;
Labelled the triangle as A , B and C.
The coordinates of this triangle ABC are;
A = (1, 10) ,
B = (-2, 4)
C = (7, 4).
Given : Scale factor(k) = and centered at point (4, -2).
The rule of dilation with and center at point (4,-2) is:
or
then, the dilation of the given figure are;
= = = A'(3 , 2)
= = =B'(2 , 0)
= = = C'(5 , 0)
The coordinates of dilation images are:
A' = (3,2) , B' = (2, 0) and C' = (5, 0)
You can see the graph of the dilated image as shown below: