5 pizza / 6 student = 'Z' pizza / 1 student
Cross-multiply the proportion:
5 pizza-student = 6 Z pizza-student
Divide each side of the equation by 6 pizza-student :
5/6 = Z
Each student gets 5/6 of 1 pizza.
It's not so complicated. Cut each pizza into 6 slices,
and each student gets 5 slices.
That's the same as (83 and 1/3) percent of a pizza.
Answer:
a) <em>Mean number of beans = 33.4 per coco pad</em>
<em>b) Standard deviation of the beans = 5.2 per coco pad</em>
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
a)
Given data 30, 28, 30, 35, 40, 25, 32, 36, 38 and 40.
mean of beans
x⁻ = ∑x/n
<em>Mean number of beans per coco pad = 33.4</em>
<em>step(ii):-</em>
<em>b) </em>
<u><em>standard deviation</em></u>
<em>∑(xi - x⁻)² = (30-33.4)²+ (28-33.4)²+(30-33.4)²+(35-33.4)²+(40-33.4)²+(25-33.4)²+(32-33.4)²+(36-33.4)²+ (38-33.4)²+(40-33.4)²</em>
<em>On calculation , we get</em>
<em> ∑(xi - x⁻)² = 242.4</em>
<em>standard deviation </em>
<em> = </em><em></em>
<em>Standard deviation of the beans (σ) = 5.2 per coco pad</em>
Answer:
m(∠LMK) = 27.9°
Step-by-step explanation:
We have to calculate the measure of angle LMK.
Measure of opposite side (KL) = 7.4
Measure of adjacent side (ML) = 14
By applying tangent rule in the given triangle,
tan(∠LMK) =
=
=
= 0.52857
m(∠LMK) =
= 27.9°
Answer:
- 40
Step-by-step explanation:
The absolute value function always returns a positive value, that is
| - a | = | a | = a
Given
| 43 - 99 | - | 75 + 21 |
= | - 56 | - | 96 |
= 56 - 96
= - 40