Answer:
0.156
Step-by-step explanation:
Using binomial probability formula, we have :
P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ ------------------------------------------------- (1)
Where n = total number of sample
a = number of success
p = probability of success
q = probability of failure
n-a = number of failures
From the question:
n =10 , a = 7, p=0.54, q = 1-p = 0.46
Substituting into equation (1) we have:
P (7 out of 10) = ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷
= 0.1563
≈ 0.156
Answer:
Step-by-step explanation:
Given
Required
Determine the solution
Since b is a perfect square, the equation can be expressed as:
Apply difference of two squares:
Split:
Remove brackets:
Make a the subject in both equations
The solution can be represented as:
Answer:
60
Step-by-step explanation:
0.25
2×5
10
0.25×10
=2.5
;4×6
=24
:2.5×24
=60
Answer:
184.8 cubic cm
Step-by-step explanation:
The formula for the volume of a pyramid is
V = (1/3)(B)(h) where B is the area of the base, and h is the height
We are given B = 44 cm² andh = 12.6cm
Plug them into the formula and simplify...(I'm assuming you are allowed to use a calculator for these problems)
V = (1/3)(44cm²)(12.6cm)
<h2> V = 184.8 cm³ or 184.8 cubic cm</h2><h2 />
$4.05/1.8 oz= $2.25 per oz
Final answer: $2.25 per oz
