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2 years ago

What single decimal multiplier would you use to increase by 15% followed by a 14% increase?

Mathematics

1 answer:

Yuliya22 [10]2 years ago

3 0

Answer:

The single decimal multiplier that I will use to increase by 15% followed by a 14% increase is 1.311

Step-by-step explanation:

Let

x ----> the number

Remember that

$100\%+15\%=115\%=115/100=1.15$

$100\%+14\%=114\%=114/100=1.14$

we know that

Increase a number by 15% followed by a 14% increase is the same that multiply the number for (1.15)(1.14)

$x(1.15)(1.14)=1.311x$

therefore

The single decimal multiplier that I will use to increase by 15% followed by a 14% increase is 1.311

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A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th

Volgvan

Answer:

We are given:

Confidence level = 99%. Therefore, the critical value at 0.01 significance level using the standard normal table is given below:

$z_{\frac{0.01}{2}}=2.576$

Margin of error is given in the question as:

$E=0.05$

Since the previous proportion is not given, therefore, we need to assume $\hat{p} = 0.5$

Therefore, the sample size is:

$n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)$

$=0.5(1-0.5) \left( \frac{2.576}{0.05} \right)$

$=0.25 \times 51.52^2$

$=663.6 \approx 664$

Therefore, 664 sample observations are required.

4 0

2 years ago

Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

Mila [183]

Answer:

7 years

Step-by-step explanation:

Suri's age=17 years

Her cousin's age =c

Suri's age is 4 less than 3 times her cousin's age

4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age

17=3c - 4

Find c which is her cousin's age

Add 4 to both sides

17+4=3c - 4 + 4

17+4=3c

21=3c

Divide both sides by 3

21/3=3c/3

7=c

Therefore,

C= 7

Her cousin's age = 7 years

4 0

2 years ago

Write 127.90 in expanded form

yan [13]

127.90 in expanded form:

100 + 20 + 7 + 0.9

3 0

2 years ago

Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit. (Hint: Assume that

Vadim26 [7]

So... if you notice the picture below

each circle, has their central angle at the vertex of the triangle
that simply means, 3 circles with a radius of 3, overlapping the triangle

now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors

hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle

so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3

so $\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{length of one side}\\\\
-----------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad r=radius\\\\
\textit{area of half a circle}\\\\
A=\cfrac{\pi r^2}{2}\\\\
-----------------------------\\\\$

$\bf \textit{now, let us use the side of 6, and radius of 3}
\\\\\\

\begin{array}{clclll}
\cfrac{6^2\sqrt{3}}{4}&-&\cfrac{\pi 3^2}{2}\\
\uparrow &&\uparrow \\
triangle's&&semi-circle's
\end{array}\impliedby \textit{area of shaded area}\\\\
-----------------------------\\\\
\boxed{\cfrac{36\sqrt{3}}{4}-\cfrac{9\pi }{2}}$

you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format