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Tanzania [10]
3 years ago
15

Solve this equation. Make sure your answer is fully reduced. x + 4/7 = 3/8

Mathematics
2 answers:
Ludmilka [50]3 years ago
4 0

x+32/56 =21/56

x=-11/56

It does not need reduced

Lostsunrise [7]3 years ago
3 0

First we're gonna convert these fractions into fractions with a common decimal.

x + 4/7 = 3/8

4/7 = 32/56

4 * 8 = 32

7 * 8 = 56


3/8 = 21/56

3 * 7 = 21

8 * 7 = 56

Now we have x + 32/56 = 21/56

<em><u>Subtract both sides by 32/56</u></em>

x = -11/56

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4.0486

Step-by-step explanation:

The margin of error is calculated using  E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }

Where n=60 is the sample size and \sigma=16 is the population standard deviation.

The critical value corresponding to 95% confidence interval is z_{\frac{\alpha}{2}}=1.96

We substitute the values to obtain;

E=1.96*\frac{16}{\sqrt{60} }

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3 0
3 years ago
I need an explanation of this question: the chicago cubs have won more than 100 games
Kobotan [32]

Answer:

x > 100

Step-by-step explanation:

Consider x as "Chicago Cubs".

The alligator sign always points/goes to the number (or food) with the highest value (or bigger meal).

Since Chicago Cubs wins is bigger than 100, you can write the inequality as follows:

x > 100

8 0
4 years ago
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4 0
3 years ago
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Help is Geometry find x​
Charra [1.4K]

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5 0
3 years ago
Describe the geometrical transformation and write the approximate value with working ​
lianna [129]

Answer:

\boxed{\text{a) Translation 5 units up; b)}\approx 110}\\

Step-by-step explanation:

a) Mapping the graphs

Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.

In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.

Each vertical line through ƒ(x) intersects g(x) in only one point.

For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)

at (4, 10).

Every point in g(x) is five units higher than the corresponding point in ƒ(x).

Thus, mapping ƒ(x) onto g(x) is a translation of five units upward.

b) Integration

\int_{2}^{11}{(\sqrt{x^{2}+9}})dx\approx 65\\

\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\

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\boxed{\approx 110}\\

5 0
3 years ago
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