Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
Answer:
The <u>sample proportion</u>, denoted by ^p, is given by the formula ^p= 
, where x is the number of individuals with a specified characteristic in a sample of n individuals.
Step-by-step explanation:
Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.
<em>sample mean</em> can be stated as p and <em>sample standard error</em> can be found using the equation
where
- p is the sample proportion
And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.
Area=1/2bh
add them
(1/2)ab+(1/2)c^2+(1/2)ab=
ab+(1/2)c^2
ab+(1/2)(a^2+b^2)
not sure which option to pick there are different preferences on what counts as 'simplified'
4. find area
area=LW
area=105*45=4725
depends on the area of the signs
answer is
4725/(areaof1sign)
anyway, round down your answer because you will have an incomplete sign if you don't
5. area=pir^2
1/2 of it is
area=1/2pir^2
area=(1/4)^2pir^2
area=pi((1/4)r)^2
the radius is now 1/4 of what it was originally, meaning that the diameter is also 1/4 of what it is now
we need to know diamater
answer is 1/4 of current diameter
3. unclear
4. area of 1 sign not given, answer is 4725/(areaof1sign), rounded DOWN to nearest integer
5. (404 error, diameter not found) answer is 1/4 of current diameter
I'm assuming we have to solve for "p" here...
By making an equation, we will get...
(p/4)-4=10
Add four on both sides...
(p/4)=14
Remove parentheses and multiply by four on both sides.
p=56
Answer:
A. D
B. χ2 > 3.841
C. χ2 = 3.4806
D. 0.0621
Step-by-step explanation:
Question A: The hypotheses the dean should use are:
a) H0 : π1 - π2 ≥ 0 versus H1 : π1 - π2 < 0.
b) H0 : π1 - π2 ≤ 0 versus H1 : π1 - π2 > 0.
c) H0 : π1 - π2 ≠ 0 versus H1 : π1 - π2 = 0.
d) H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.
Answer: (d)
H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.
(B). Referring to the scenario above, the null hypothesis will be rejected if the test statistic is ________.
Answer: χ2 > 3.841
(C). Referring to the scenario above, the value of the test statistic is ________.
Answer: χ2 = 3.4806 (using the formula)
(D). Referring to the scenario above, the p-value of the test is ________.
Answer: 0.0621 (the answer could be looked up, in table)
