Answer: z score = 0.00714
Step-by-step explanation: the value of test statistics is gotten using the standard normal distribution table.
Z= 2.45 has area to the left (z<2.45) and area to the right (z>2.45).
Level of significance α is the probability of committing a type 1 error. The area under the distribution is known as the rejection region and it is the area towards the right of the distribution.
The table I'm using is towards the left of the distribution.
But z>2.45 + z<2.45 = 1
z> 2.45 = 1 - z<2.45
But z < 2.45 = 0.99286
z > 2.45 = 1 - 0.99286
z >2.45 = 0.00714
Hence the test statistics that would produce the least type 1 error is 0.00714
1/10 = .1, and 3/33 = .0909090... it is equivalent if you estimate.
Answer:
hope these answers helps u out
Step-by-step explanation:
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Answer:
10 losses
Step-by-step explanation:
Here, we want to get the greatest possible number of games the team lost
Let the number of games won be x
Number drawn be y
Number lost be z
Mathematically;
x + y + z = 38
Let’s now work with the points
3(x) + 1(y) + z(0) = 80
3x + y = 80
So we have two equations here;
x + y + z = 80
3x + y = 80
The greatest possible number of games lost will minimize both the number of games won and the number of games drawn
We can have the following possible combinations of draws and wins;
26-2
25-5
24-8
23-11
22-14
21-17
21-17 is the highest possible to give a loss of zero
Subtracting each sum from 38, we have the following loses:
10, 8, 6, 4, 2 and 0
This shows the greatest possible number of games lost is 10
Using the Pythagorean theorem:
a^2 + b^2 = c^2
a and b are the sides and c is the hypotenuse.
The length of the ladder would be the hypotenuse and the base away from the wall would be one side.
So now we have:
5.5^2 + b^2 = 9^2
Simplify:
30.25 + b^2 = 81
Subtract 30.25 from each side:
b^2 = 81 - 30.25
b^2 = 50.75
Take the square root of both sides:
b = √50.75
b = 7.123
Rounded to the nearest tenth of a foot = 7.1 feet.
