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butalik [34]
4 years ago
5

If I multiply 6n^5 by 5n^2, what exponent would the answer have and how did you get it?

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
5 0

a^b\cdot a^c=a^{b+c}

6n^5\cdot 5n^2=30n^7


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Dmitrij [34]
Three million twenty nine and two hundred fifty one




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3 years ago
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What value of x is in the solution set of 2(4+2x)>5x+5
Serggg [28]

Answer:

x < 3

Step-by-step explanation:

2(4+2x)>5x+5

Distribute

8 +4x > 5x+5

Subtract 4x from each side

8 +4x-4x > 5x-4x+5

8 > x+5

Subtract 5 from each side

8-5 > x+5-5

3 > x

X must be less than 3

7 0
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
Which set of side lengths form a right triangle?
Reil [10]
I just took the test and the answer was D
50 in, 48 in, 14 in are the side lengths that form a right triangle
4 0
3 years ago
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A 98% confidence interval is found to be (50, 60). What is the margin of error?
miss Akunina [59]

Answer:

D. 5

Step-by-step explanation:

Mean: (50+60)/2

110/2

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Margin of error:

60 - 55

5

3 0
3 years ago
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