Answer:
Eric
Step-by-step explanation:
At 5 days (the x axis), the y axis is 60 which is how much lemonade he sold.
sarah sold 10x or 10 x 5 days=50 cups.
‘Eric sold 60, Sarah sold 50
AB will be an Identity matrix.
<h3>
What is an identity matrix?</h3>
- A square matrix with 1s on the main diagonal and 0s everywhere else is an identity matrix.
- The identity matrices 22 and 33, for example, are presented below.
- These are known as identity matrices because they produce the identity matrix when multiplied by a compatible matrix.
- If the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.
- When the matrix is multiplied by the original matrix, the result is the identity matrix.
As it is given in the description itself, if the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.
Therefore, AB will be an Identity matrix.
Know more about the identity matrix here:
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Answer:
The 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
Step-by-step explanation:
Confidence Interval for difference between two means =
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
Where
μ1 = mean 1 = 12 mins
σ1 = Standard deviation 1 = 2 mins
n1 = 100
μ2= mean 2 = 11 mins
σ2 = Standard deviation 2 = 3 mins
n1 = 50
z score for 95% confidence interval = 1.96
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
= 12 - 11 ± 1.96 × √2²/100 + 3²/50
= 1 ± 1.96 × √4/100 + 9/50
= 1 ± 1.96 × √0.04 + 0.18
= 1 ± 1.96 × √0.22
= 1 ± 1.96 × 0.469041576
= 1 ± 0.9193214889
Confidence Interval
= 1 - 0.9193214889
= 0.0806785111
≈ 0.081
1 + 0.9193214889
= 1.9193214889
≈ 1.919
Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
Answer:
The Hindu-Arabic numeral form of the given expanded numeral is 842.
Step-by-step explanation:
The given expanded numeral is

We need to express the given expanded numeral as a Hindu-Arabic numeral.
According to Hindu-Arabic numeral the given expanded numeral is written as

On simplification we get,


Therefore the Hindu-Arabic numeral form of the given expanded numeral is 842.
Answer:
10
Step-by-step explanation:
12(10)=120+30 or 150-30=120=12(10)