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natima [27]
2 years ago
11

Use fraction models to solve two and four sevenths plus three and two fourths equals blank

Mathematics
1 answer:
jenyasd209 [6]2 years ago
3 0

Answer:

6 \frac{1}{14}

Step-by-step explanation:

Write down the problem;

2 \frac{4}{7} + 3 \frac{2}{4}

Simplify

2 \frac{4}{7} + 3 \frac{1}{2}

Convert so that the fractions have a common denominator; multiply the numerator and denominator of both fractions such that the denominators are equal;

2 \frac{8}{14} + 3 \frac{7}{14}

Add the fractions;

5 \frac{15}{14}

Convert to mixed number;

6 \frac{1}{14}

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d=9.220

Step-by-step explanation:

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My salary is £28,860 per year. What is my hourly rate of pay if I work 37 hours a week
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pay rate £7.80

Step-by-step explanation:

28860 divide by 37 = 780

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Based on the diagram above, which of the following does not make q and parallel
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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let
Advocard [28]

Answer:

P(t)=3,000,000-3,000,000e^{0.0138t}

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

P'(t)=K(3,000,000-P(t))

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

<em>P(0) = 0 and P(50) = 1,500,000 </em>

We have and ordinary differential equation of first order that we can write

P'(t)+KP(t)= 3,000,000K

The <em>integrating factor </em>is

e^{Kt}

Multiplying both sides of the equation by the integrating factor

e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K

Hence

(e^{Kt}P(t))'=3,000,000Ke^{Kt}

Integrating both sides

e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C

e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C

P(t)=3,000,000+Ce^{-Kt}

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138

And the equation that models the number of people (in millions) who become aware of the product by time t is

P(t)=3,000,000-3,000,000e^{0.0138t}

5 0
3 years ago
Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard
Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean \mu and standard deviation \sigma

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: \mu_{V} = 525, \sigma_{V} = 100.

Math: \mu_{M} = 575, \sigma_{M} = 100

Combined:

\mu = \mu_{V} + \mu_{M} = 525 + 575 = 1100

\sigma = \sqrt{\sigma_{V}^{2}+\sigma_{M}^{2}} = \sqrt{100^2 + 100^2} = 141

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

6 0
3 years ago
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