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REY [17]
3 years ago
8

Between Ahmedabad, Bombay, and Calcutta, there are the following highways: Ahmedabad – Bombay, Ahmedabad – Calcutta, and Bombay

– Calcutta. During monsoon, when there is heavy rain, each of the road gets blocked independently with probability p. What is then the probability that Calcutta will be accessible from Ahmedabad?

Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

Answer: p+p^2

Step-by-step explanation: shown in the attachment

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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
3 years ago
Rahul earns 21,000 in 7 months.
tekilochka [14]

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

8 0
2 years ago
Look at pic 10 pts will mark brainilest
telo118 [61]

Answer:

can we go with D. 54 ?

the height and length is 9 and 6

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7 0
2 years ago
Read 2 more answers
Which expression is represented by the phrase "9 less than 5 times a number"?
sukhopar [10]
5x - 9.

Five times a number indicates multiplication and less than indicates subtraction. A number would be a variable since it isn’t specified.
6 0
2 years ago
Which probability distribution table corresponds with this frequency distribution table
nlexa [21]

Answer:

A.

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

Step-by-step explanation:

First find the sum

\sum f=4+6+1+4+5=20.

Now, find the probabilities:

  • Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;
  • Pr(x=3)=\dfrac{1}{20}=0.05;
  • Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.

Hence, the frequency distribution table is

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

4 0
3 years ago
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