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Yuliya22 [10]
2 years ago
9

Can someone help me?

Mathematics
2 answers:
Marina86 [1]2 years ago
8 0
M = -3, hope it was helpful! :)
Pani-rosa [81]2 years ago
5 0

Answer: m=−3

Step-by-step explanation: −40−2(3m+1/2)=7m−2

−40+(−2)(3m)+(−2)(1/2)=7m+−2

−40+−6m+−1=7m+−2

(−6m)+(−40+−1)=7m−2

−6m+−41=7m−2

−6m−41−7m=7m−2−7m

−13m−41+41=−2+41

−13m/−13=39/−13

m=−3

What mistake I guess Keith did make is he subtracted 2 from -39 which equaled to -37 which caused him divide -37 by 13 when it should have been 39 divided by 13 because he should have left 39 alone and not have subtracted 2 from it also it should not have been negative basically what I'm trying to say is that he did his division and subtraction wrong.

 

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Answer:

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

Step-by-step explanation:

We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.

Chebyshev Theorem

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

Applying the Theorem

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

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3 years ago
Using the model of 7.77, how does the 7 in the tenths place compare to the 7 in the place to its left?
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It is 10 times smaller
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3 years ago
What is the equation of a line passing through (-3, 7) and having a slope of -1/5 ? A. y = -5x + 22 B. y = 5x + 22 C. y=1/5x+32/
bogdanovich [222]

Answer:

  D.  y = -1/5x +32/5

Step-by-step explanation:

The equation of the line passing through point (h, k) with slope m can be written ...

  y = m(x -h) +k

Filling in your given values, the equation is ...

  y = -1/5(x -(-3)) +7

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5 0
3 years ago
Vanessa deposits $24,000 into each of two savings accounts. Account I earns 2. 4% interest compounded annually. Account II earns
ikadub [295]

The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +\dfrac{R}{100})^T - P

The final amount becomes:

A = CI + P\\A = P(1 +\dfrac{R}{100})^T

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

I = \dfrac{P \times R \times T}{100}

For the considered case, we're given that:

  • Initial amount in both accounts deposited = $24,000 = P
  • Type of interest: Compound interest in first account and simple interest in second account
  • Unit of time: Annually
  • Rate of interest = 2.4% annually = R
  • Total unit of time for which amount is to be calculated: 5 years = T

In first account, the final amount at the end of 5 years is evaluated as:

A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4  \approx 27021.59\: \rm (in \:  dollars)

In second account,  the final amount at the end of 5 years is evaluated as:

A = 24000 +  \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}

Total amount after 5 years in these accounts = 27021.59 + 26880 = 53901.59 (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

Learn more about compound interest here:

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2 years ago
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Answer:

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Step-by-step explanation:

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