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Softa [21]
1 year ago
6

I need help trying to understand how they solved this equation. Just a little confused.

Mathematics
1 answer:
Misha Larkins [42]1 year ago
3 0

Answer:

0.495

Explanation:

Given the expression:

0.55-1.645\sqrt[]{\frac{0.55(1-0.55)}{220}}

Begin by simplifying the expression under the radical (square root) sign.

\begin{gathered} =0.55-1.645\sqrt[]{\frac{0.55(0.45)}{220}} \\ =0.55-1.645\sqrt[]{\frac{0.2475}{220}} \end{gathered}

Using a calculator, we evaluate the radical:

\begin{gathered} =0.55-1.645\sqrt[]{0.001125} \\ =0.494825 \\ \approx0.495\text{ (to 3 decimal places)} \end{gathered}

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Wendy's hair was 45 cm long. She got 19% cut off. How long is her hair now?
Ira Lisetskai [31]

Answer:

36.45 cm

Step-by-step explanation:

You can automatically assume that if it was 20% cut off, Wendy's hair would've been 36 cm.  Multiply 45 by 0.19 to get 8.55 since that is how much Wendy's hair is being cut off.  Subtract that number from 45 to get your final answer which is 36.45 cm.

5 0
3 years ago
A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.
Stels [109]

Answer:

The answer is below

Step-by-step explanation:

A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.

In this question, amount of water in tank is dependent variable and the time taken is the independent variable. Let y represent amount of water in tank and x represent the time it has been draining. Therefore:

a) This can be represented by the equation:

y = 450 -  20x

At 7 minutes (x = 7)

y = 450 - 20(7)

y = 310 gallons

b) For 200 gallons (y = 200), the time taken is:

200 = 450 - 20x

200 - 450 = -20x

-20x = -250

x = -250/-20

x = 12.5 minutes

c) y = 450 - 20x

d) The graph was plotted using geogebra onling graphing calculator.

e) When the tank is empty, y = 0, hence

0 = 450 - 20x

20x = 450

x = 450 / 20

x = 22.5 minutes

6 0
3 years ago
Evaluate: log1255<br> - |<br> - |<br> N |<br> DONE<br> o<br> o<br> o
Bas_tet [7]

Answer:

\log_5(125) =3

Step-by-step explanation:

Question:

To evaluate \log 125 to the base 5

Solution:

We will apply log properties to evaluate.

We will use the following property of logarithms

If \log _ab=x

Then, a^x=b

Let \log_5(125) =x

So, we have

5^x=125

We can write 125=5\times 5\times 5=5^3

5^x=5^3

∴ x=3

Thus, we have

\log_5(125) =3

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4 years ago
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Assoli18 [71]
11.176 centimeters are in 4.4 inches! Reason being is all you need to do multiply the length value by 2.54!

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4 years ago
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The drawing will help

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