Answer:
a) Sample mean: 48.71
Sample median: 48.3
Sample variance: 5.41
Sample standard deviation: 2.37
Step-by-step explanation:
a) Sample mean:

Sample median: M=48.3
Note: I order the data increasingly and take the value N / 2 = 40. In this way there are 39 values above and 39 values below the median.
Sample variance:

Sample standard deviation

b)
Answer:
p = 35
Step-by-step explanation:
( 2p + 5 ) + ( 3p ) = 180
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2p+5+3p=180
Combine 2p and 3p to get 5p.
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5p+5=180
Subtract 5 from both sides.
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5p=180−5
Subtract 5 from 180 to get 175.
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5p=175
Divide both sides by 5.
p = 175\5
Divide 175 by 5 to get 35.
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p = 35
Answer:
p is false, q is true and r is true
Step-by-step explanation:
- For (p ∨ q) → (r → p) to be false, the proposition (p ∨ q) must be true and (r → p) false.
- If (r → p) then r must be true and p is false, we now have truth values for these two
- Now if (p v q) is true, either p, q or both must be true. Since p is false, it follows that q must be true.
This is an example of systems of equations, using weird symbols rather than x or y.
We'll substitute the symbols for the variables d and c
d for diamond, c for clover.
3 + d = c
c + d = 11
We can solve for one variable in the first equation to find the true value of the other variable in the second equation.
3 + d = c
<em><u>Subtract 3 from both sides.</u></em>
d = c - 3
Now we have a value for d and can solve the second equation.
c + d = 11
<em><u>Substitute.</u></em>
c + c - 3 = 11
<em><u>Add 3 to both sides.</u></em>
c + c = 14
<em><u>Combine like terms.</u></em>
2c = 14
<em><u>Divide both sides by 2.</u></em>
c = 7
Now we know the absolute value of c and can solve for the value of d.
d + c = 11
d + 7 = 11
<u><em>Subtract 7 from both sides.</em></u>
d = 4
The diamond, or d, is equal to 4. And the clover, or c, is equal to 7. (This is your answer.)
Let me know if you have any questions.
Answer:4/5
hope it helps
Step-by-step explanation: