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Goryan [66]
3 years ago
13

Which of these formulas is correctly rewritten from the original formula to solve for b? a = 3b - 2c?

Mathematics
2 answers:
dem82 [27]3 years ago
5 0
-3b=-a-2c
b=(a-2c)/-3
kodGreya [7K]3 years ago
4 0

Answer:

b=\frac{a+2c}{3}

Step-by-step explanation:

We have been given an equation a=3b-2c. We are supposed to solve the given equation for b.

First of all, we will switch sides of the given equation as:

3b-2c=a

Let us add 2c on both sides:

3b-2c+2c=a+2c

3b=a+2c

Divide both sides by 3:

\frac{3b}{3}=\frac{a+2c}{3}

b=\frac{a+2c}{3}

Therefore, our required equation wold be b=\frac{a+2c}{3}.

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Evaluate the expression. 8! − 5!
svp [43]

Answer:

40200

Step-by-step explanation:

(8x7x6x5x4x3x2x1) - (5x4x3x2x1)

Or simply plug 8! - 5! into the calc.

4 0
3 years ago
Read 2 more answers
A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?
Elena L [17]
N + (3n - 15) = 101 is the equation, the answer to the equation is 29
3 0
3 years ago
Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent, if necessary.
Vlada [557]
To find the decreased percentage,here's what we can do:
\frac{originl \: value - new \: value}{originl \: value}  \times 100\%

In this case,the eqaution would be:
\frac{280 - 210}{280}  \times 100\% \\  =  \frac{70}{280}  \times 100\% \\  =  \frac{1}{4}  \times 100\% \\  = 25\%
Hope it helps!
5 0
3 years ago
If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

7 0
3 years ago
I took $6.00 off an $11.00 item. What % got taken off. How do I figure that out?
jeka94

Answer:

54.5454%

Step-by-step explanation:

6/11=0.545454545454 and that as a percentage is 54.5454%

8 0
3 years ago
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