Answer: The professor was not accurate with his hypothesis.
Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternate hypothesis: At least one proportion of the student will differ from the others.
Step-by-step explanation: To check if the professors hypothesis were inaccurate.
What percentage of student bought a hard copy of the book.
(25 ÷ 200) × 100 = 12.5%
What percentage of the student printed it from the web.
(85 ÷ 200) × 100 = 42.5%
What percentage of the students read it online.
(90 ÷ 200) × 100 = 45%
This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.
Therefore; the null hypothesis are
P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternative hypothesis will state that at least one of the proportion will be different from the others.
Answer:
(y -5)(y -i√6)(y +i√6)
Step-by-step explanation:
The expression can be factored by grouping:
(y^3 -5y^2) +(6y -30) = y^2(y -5) +6(y -5) = (y^2 +6)(y -5)
The quadratic factor is the difference of squares, if you consider -6 to be a square. In that view, it can be factored as ...
y^2 +6 = (y -i√6)(y +i√6)
Then the complete factorization is ...
(y -5)(y -i√6)(y +i√6)
Answer:
i am not sure but tried .
Step-by-step explanation:
Answer:
C₂₃ = -186
↓
C₁₃ = -32
↓
C₃₁ = 6
↓
C₁₁ = 27
↓
C₂₁ = 28
↓
C₃₃ = 38
↓
C₂₂ = 56
↓
C₃₂ = 90
↓
C₁₂ = 115
Step-by-step explanation:
The given matrices are;
The cross product of the matrices is found as follows;
C₁₁ = 1×5 + 7×3 + (-1) × (-1) = 27
C₁₂ = 1×1 + 7×15 + (-1)×(-9) = 115
C₁₃ = 1×7 + 7×(-2) + (-1)×25 = -32
C₂₁ = 5×5 + (-2)×3 + (-9) × (-1) = 28
C₂₂ = 5×1 + (-2)×15 + (-9)×(-9) = 56
C₂₃ = 5×7 + (-2)×(-2) + (-9)×25 = -186
C₃₁ = (-3)×5 + 8×3 + 3 × (-1) = 6
C₃₂ = (-3)×1 + 8×15 + 3×(-9) = 90
C₃₃ = (-3)×7 + 8×(-2) + 3×25 = 38
Therefore, we get;
In increasing order, we have;
C₂₃ = -186
↓
C₁₃ = -32
↓
C₃₁ = 6
↓
C₁₁ = 27
↓
C₂₁ = 28
↓
C₃₃ = 38
↓
C₂₂ = 56
↓
C₃₂ = 90
↓
C₁₂ = 115
Answer:
20.50
Step-by-step explanation:
<u>9/4</u> as a decimal is <u>2.25</u>. an you need to find the ice cream Cassie used the way Would say is multiply <u>2.25</u> by 9 and you get <u>20.5</u>. I hope this helps