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USPshnik [31]
2 years ago
11

a fireplace contains 46 bricks along its bottom row. if each row above decreases by 4 bricks, what is the function that shows th

e bricks on the 12th row
Mathematics
2 answers:
andrew-mc [135]2 years ago
5 0
In the 12th row there is 138 bricks
m_a_m_a [10]2 years ago
4 0
\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=46\\
d=-4\\
n=12
\end{cases}
\\\\\\
a_{12}=46+(12-1)(-4)
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On a snow day, Owen created two snowmen in his backyard. Snowman A was built to
faust18 [17]

Answer:

<u>The equations for each function:</u>

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<em>The lines plotted, see attached</em>

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2 years ago
Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S
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Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

                                                 Strength Strength

                                                    High             Low

High conductivity                         74                8

Low conductivity                         15                3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

P=\frac{74}{100}=0.74

b) If a stand is randomly selected, the probability that its conductivity is low or  strength is low

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Conductivity is low and  strength is low A\cap B=3

Probability is given by,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}

P(A\cup B)=0.18+0.11-0.03

P(A\cup B)=0.26

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength  are not mutually exclusive, since there exists some cases in which both the  events coincide. i.e. Intersection of both the events exists with probability 0.03.

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