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Sloan [31]
3 years ago
7

Daniela bought a square carpet for her dining room of an area of 9 ft squared. The space of of the dining room is approximately

3.5 ft wide. Is there space for the carpet ? Why ?
Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

yes there is because the carpet is 9ft squared but the dinning room floor area is 3.5*3.5= 12.25 so there is still space left even when carpet is put down.

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Find the 9th term geometric sequence 1,1/2,1/2^2
valentinak56 [21]

Answer:   t_9=\dfrac{1}{2^8}

<u>Step-by-step explanation:</u>

t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}

3 0
3 years ago
The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1
Aleksandr-060686 [28]

Answer:

a)  The probability that a student has either a Visa card or a MasterCard is 0.71.  

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b)  In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards  is P(V \cap M)=0.03

a) Probability that a student has either a Visa card or a Master Card is given by,

P(V \cup M) = P(V) + P(M) - P(V\cap M)

P(V \cup M) = 0.63+ 0.11- 0.03

P(V \cup M) =0.74- 0.03

P(V \cup M) =0.71

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if P(A\cap B)=P(A)P(B)

For V and M to be independent the condition is satisfied,

P(V\cap M)=P(V)P(M)

Substitute the values,

0.03=0.63\times 0.11

0.03\neq 0.0693

So, V and M are not independent.

6 0
3 years ago
20 points
alexira [117]
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3 0
3 years ago
Read 2 more answers
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harkovskaia [24]
ANSWER: C) 36
EXPLANATION: +7 is the sequence
4 0
2 years ago
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Reptile [31]

Answer:

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and you take 30 x 1,500 to get your answer

8 0
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