Answer: 5
Step-by-step explanation: add 5 on each side and you get -50 then divide -5/2 with -50 and get 5
Answer:
Using a formula, the standard error is: 0.052
Using bootstrap, the standard error is: 0.050
Comparison:
The calculated standard error using the formula is greater than the standard error using bootstrap
Step-by-step explanation:
Given
Sample A Sample B


Solving (a): Standard error using formula
First, calculate the proportion of A



The proportion of B



The standard error is:







Solving (a): Standard error using bootstrapping.
Following the below steps.
- Open Statkey
- Under Randomization Hypothesis Tests, select Test for Difference in Proportions
- Click on Edit data, enter the appropriate data
- Click on ok to generate samples
- Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>
From the randomization sample, we have:
Sample A Sample B



So, we have:






Answer:
B = 40° and D = 60°
Step-by-step explanation:
Just subtract the angles you already know from 90° (since perpendicular means right angle, which is 90°).
1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:

Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point

So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Subtract 5y - 8 from 2y + 8
To subtract two numbers, we can do it like this:
10 - 4 = 10 + (-4)
That is, add the first number with the second number with its sign changed. For simple numbers, it does not make much difference, but for algebraic expressions, it can help a lot.
To subtract both binomials, we write the first plus the second with changed signs:
2y + 8
-5y + 8
---------------
-3y + 16
The result of the subtraction is -3y+16