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Nimfa-mama [501]
3 years ago
8

Find the value of each expression. 6b2 – 5 if b = 3

Mathematics
2 answers:
Elanso [62]3 years ago
5 0

Answer:

31

Step-by-step explanation:

Hello!

I think the "<em>6b2" </em>part is confusing you. Remember if the digits are next to each other, it represents multiplication.

The simplified expression with b = 3:

6 × 3 × 2 - 5

Now, we apply PEMDAS:

36 - 5

That gives:

31.

Thus, the final value of the expression is \boxed{\boxed{31}}.

Hope this helps!

- Sahkfam

snow_tiger [21]3 years ago
3 0
The answer should be 31, if I’m doing this correctly.
6(3)2-5 (multiply 6 and 3, you get 18)
18(2)-5 (multiply 18 and 2, you get 36)
36-5 (subtract 36 and 5)
31
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Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

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Sam paid $8.28 for 18 stamps.at this rate,how much would it cost Sam to buy 12 stamps
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Answer: It costs $5.52 to Sam to buy 12 stamps.


Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=\frac{8.28}{18}

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=0.46\times12

Therefore, the cost of 12 stamps= $5.52

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3 years ago
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
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Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

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