Attached
Step-by-step explanation:
From the question x is the number of stools and y is the number of recliners
Given that the coffee shop can hold no more than 50, then the inequality for number of seats will be;
x+y≤ 50
Also, the owner wants at least 20 of the seats to be stools, this can be written as;
x≥20
Using a graph tool to visualize the inequalities, you get the attached graph;
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Inequalities graph : brainly.com/question/11234618
Keyword : graph, inequalities
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Answer:
ai) n(E⋂C) = ∅ = null
n(E⋂G) = 4
aii) see attachment
bi) n(C⋂G) = x = 1
bii) n(G) only = 3
Step-by-step explanation:
Let chemistry = C
Economic = E
Government = G
n(E) = 12
n(G) = 8
n(C) = 7
ai) number of pupils for economics and chemistry = 0
number of pupils for economics and government = 4
The set notation for both:
n(E⋂C) = ∅ = null
n(E⋂G) = 4
aii) find attached the Venn diagram
bi) n(C⋂G) = ?
Let number of n(C⋂G) = x
From the Venn diagram
n(C) only = 12-4 = 8
n(G) only = 8-(4+x) = 4-x
n(E) only = 7-x
n(E⋂C⋂G) = 0
n(E⋂C) = 0
n(E⋂G) = 4
Total: 8+ 4-x + 7-x + x + 0+0+4 = 22
23 -x = 22
23-22 = x
x = 1
n(C⋂G) = x = 1
Number of pupils that take both chemistry and government = 1
(bii) government only = n(G) only = 4-x
n(G) only = 4-1 = 3
Number of students that take government only = 3
Answer:
<h2>Cubing both sides of an equation is reversible.</h2>Step-by-step explanation:
Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.
In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example
We cube both sides
If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side
There you have it, cubing both sides of an equation is reversible.
Answer
given,
thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
X = U[0.95,1.05] 0.95≤ x ≤ 1.05
the cumulative distribution function of flange
F(x) = P{X≤ x}=
=
b) P(X>1.02)= 1 - P(X≤1.02)
=
= 0.3
c) The thickness greater than 0.96 exceeded by 90% of the flanges.
d) mean =
= 1
variance =
= 0.000833