Heelo HELP ME PLEASE
1 answer:
We can't do all those in one answer. I'll try the first page.
1 a. There are lots of ways to do these. They probably want you to see that the base of P is 4 units and the height is 6 units, so area (1/2)(4)(6)=12
Answer: 12
Let's try it with Pick's Theorem. Pick says interior points I count as 1 and boundary points B count as one-half, and we overcount by 1,
area = I + B/2 - 1
I count 9 interior points, I=9, and B=8 boundary points,
area = 9 + 8/2 - 1 = 12
Math works!
b. Q is a Parallelogram
c. Base 4, height 5, area = 4(5) = 20
2.
L=2W
P=2L+2W=24
2(2W)+2W=24
6W=24
W=4 cm
L=8 cm
I'll leave it to you to draw the 4×8 rectangle on the grid.
3.
L=3W
LW=48
(3W)W=48
3W²=48
W²=48/3=16
W=4
L=3W=12
4×12 rectangle to draw.
4.
b=2h
(1/2)bh = 16
(1/2)(2h)h = 16
h² = 16
h = 4
b = 8
Draw any triangle with base 8cm, height 4cm.
5.
b=2h
bh=50
2h²=50
h²=25
h=5
b=10
Parallelogram base 10, height 5
6.
That perimeter has 3 long sides of the rectangle and 3 short sides, and one extra piece that's the difference, 7-4=3cm.
P= 3(7+4) + 3cm = 36 cm
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As per the question statement, the null hypothesis, , is that, no more than 90% of homes in the city are up to the current electric codes, while an alternative hypothesis,
, is by an electrician claiming more than 90% of homes in the city are up to the current electric codes.
We are required to find out "β" which is the probability of a type II error.
β = Probability of accepting when it is incorrect.
The probability of a Type II error occurs in the situation where, the null hypothesis of "more than 90% of homes in the city are up to the current electric codes" is accepted even though the alternative hypothesis that the electrician claims about "more than 90% of homes in the city being up to the current electric codes" is true. More clearly, the alternative hypothesis that the electrician claims about more than 90% of homes in the city being up to the current electric codes is in fact, rejected when it is correct.
Hence the correct answer :
The probability of Type II error is (β) is that, "The electrician cannot conclude that more than 90% of homes in the city are up to the current electric codes when, in fact, more than 90% of homes are up to the current electric codes".
- Probability: In Mathematics, Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
- Null & Alternative Hypothesis: A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations while, an alternative hypothesis states about our research prediction of an effect or relationship.
To learn more about Null & Alternative Hypothesis, click on the link below.
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