Diagonal of a cube formula: D=a√3 [a=side length]
D = 5√3 ≈ 8.7 cm.
Answer:
<u>45.5 m²</u>
Step-by-step explanation:
<u>Area (Shaded) = Area (Rectangle) - Area (Trapezoid)</u>
- Area (Shaded) = lb - 1/2 x (a + b) x h
- Area (Shaded) = 17 × 13 - 1/2 × (10 + 17) × 13
- Area (Shaded) = 13 (17 - 27/2)
- Area (Shaded) = 13 × 7/2
- Area (Shaded) = 91/2
- Area (Shaded) = <u>45.5 m²</u>
Answer:
£100.32
Step-by-step explanation:
→ In order to work out the multiplier from a increase, you have to add 100 to the percentage and then divide by 100 so,
14 + 100 = 114
114 ÷ 100 = 1.14
→ This means the decimal multiplier is 1.14, now all we do is multiply the multiplier by the cost
£88 × 1.14 = £100.32
Answer:

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
Step-by-step explanation:
For this case we can define the sum of squares with this formula:

Where:

And we can find the sample variance with this formula:

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
Answer:
IQR = 5
Step-by-step explanation:
the IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁
Q₃ is the value at the right side of the box plot , that is
Q₃ = 51
Q₁ is the value at the left side of the box plot , that is
Q₁ = 46
then
IQR = Q₃ - Q₁ = 51 - 46 = 5