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Xelga [282]
3 years ago
6

7-3b = 5b+15 solve the equation

Mathematics
2 answers:
densk [106]3 years ago
4 0

7-3b = 5b+15

move 5b to the other side

sign changes from +5b to -5b

7-3b-5b=5b-5b+15 ( combine like terms)

7-3b-5b=15

7-8b=15

move 7 to the other side

7-7-8b=15-7

-8b=15-7

-8b=8

divide both sides by -8

to get +b and by itself

-8b/-8=8/-8

Answer:

b=-1

Vsevolod [243]3 years ago
3 0

Answer:

b=-1

Step-by-step explanation:

we have isolate variable on one side and number on other

so we move 5b to the right side and it becomes negative and we move 7 to the left and it becomes negative

-3b-5b=15-7          

-8b = 8

__      __   (you divided -8 by -8b to isolate b and by the other side)

-8        -8

b= -1

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There are 5 red marbles and 7 blue marbles in a bag What is the ratio of blue marbles to red marbles?
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If the distribution is really (5.43,0.54)
defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The general format of the normal distribution is:

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Which means that:

\mu = 5.43, \sigma = 0.54

What proportion of observations would be less than 5.79?

This is the pvalue of Z when X = 5.79. So

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7 0
3 years ago
A local petting zoo had a total of 98,464 visitors last year. The zoo was open every day except thanksgiving, Christmas, and New
riadik2000 [5.3K]

Answer:

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Also, the zoo was closed on thanksgiving, Christmas, and New Year's Eve

So, the Number of days zoo was open = Total Days in  year -  3 days

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So, \textrm{Number of visitor per day} =  \frac{\textrm{Total number of visitors in 352 days}}{\textrm{352 days}}

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or, the number of people visiting per day is 272.

Hence,  the average number of visitors per day is 272.

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