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SashulF [63]
2 years ago
10

Which expressions are equivalent to 3(6+b)-(2b + 1)?

Mathematics
1 answer:
Anna [14]2 years ago
7 0

Answer:

18+3b-2b-1

b+17

Step-by-step explanation:

\mathrm{Using\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b

-\left(2b+1\right)=-2b-1

=3\left(6+b\right)-2b-1

=18+3b-2b-1

\mathrm{Group\:like\:terms}

=3b-2b+18-1

\mathrm{Subtract\:the\:numbers:}\:18-1=17

=3b-2b+17

\mathrm{Add\:similar\:terms:}\:3b-2b=b

=b+17

[RevyBreeze]

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Answer:

it’s b.

Step-by-step explanation:

(6)^2+(8)^2is not equal to (11)^2

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2 years ago
Jeffrey's brother max is 5 years older than twice Jeffrey's age. Write an expression that represents the relationship of Max's a
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3 years ago
Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one
oksano4ka [1.4K]

Answer:

P(x \geq 6)=P(X=6)+P(X=7)

And we can find the individual probabilities:

P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358

P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517

And replacing we got:

P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875

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, on this case we now that:

X \sim Binom(n=7, p=1-0.09=0.91)

The probability associated to a failure would be p =1-0.09 = 0.91

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 we want to find this probability:

P(x \geq 6)=P(X=6)+P(X=7)

And we can find the individual probabilities:

P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358

P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517

And replacing we got:

P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875

6 0
3 years ago
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Alex

Answer:

1.

hours / views

1. / 125

2. / 250

3. / 375

4. / 500

5. / 625

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f(x)= 125 x views=125.hours

The slope of the function equals the visits of each hour.

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4. "views as a function of hours"

5. in 12 hours the website will have f(12)=125 . 12 = 1500 views.

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