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10 months ago

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

Mathematics

1 answer:

Misha Larkins [42]10 months 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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Answer: 60 devil offspring.

Step-by-step explanation:

The total number of devils in the Island is 80.

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This percentage in a whole number is what the question requires.

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2 years ago

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Step-by-step explanation:

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2 years ago

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?

Alecsey [184]

For this case we must indicate which of the equations shown can be solved using the quadratic formula.

By definition, the quadratic formula is applied to equations of the second degree, of the form:

$ax ^ 2+ bx+ c = 0$

Option A:

$2x ^ 2-3x +10 = 2x + 21$

Rewriting we have:

$2x ^ 2-3x-2x+ 10-21 = 0\\2x ^ 2-5x-11 = 0$

This equation can be solved using the quadratic formula

Option B:

$2x ^ 2-6x-7 = 2x ^ 2$

Rewriting we have:

$2x ^ 2-2x ^ 2-6x-7 = 0\\-6x-7 = 0$

It can not be solved with the quadratic formula.

Option C:

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Rewriting we have:

$5x ^ 2-2x ^ 2 + 2x-4 = 0\\3x ^ 2 + 2x-4 = 0$

This equation can be solved using the quadratic formula

Option D:

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Rewriting we have:

$5x ^ 3-2x ^ 2-3x + 10 = 0$

It can not be solved with the quadratic formula.

Answer:

A and C

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3 years ago

Read 2 more answers

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Vitek1552 [10]

Answer:

The angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: $\frac{VZ}{YZ}=\frac{WZ}{XZ}$

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

$\angle VZW=\angle YZX$ (Vertically opposite angles)

$\frac{VZ}{YZ}=\frac{WZ}{XZ}$ (Given)

By SAS rule of similarity

$VWZ\sim YXZ$

Therefore the angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

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3 years ago

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a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum

laiz [17]

Answer:

I believe the answer would be 186

Step-by-step explanation:

241-55=186

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2 years ago