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3 years ago

Please solve itI need to submit this by tomorrow

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

Answer:

Step-by-step explanation:

$(3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1$

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A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 95% sure that he

inn [45]

Answer:

The sample size is 183.

Step-by-step explanation:

Given:

σ = $1050, ppulatin standard deviation

99% confidence interval

Accuracy = +/- $200

The accuracy is given by

z*(σ/√n)

where

z* = 2.576 for 99% confidence level (from tables)

n = sample size

Therefore

2.576(1050/√n) = 200

√n = (2.576*1050)/200 = 13.524

n = 182.9

<em>The sample size is 183</em>

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6 0

3 years ago

Find the area of a circle with<br>radius, r = 5.52m.<br> answer rounded to 2 DP.

Mice21 [21]

Answer:

Step-by-step explanation:

Formula = A=πr2

Putting values in the equation

A = (3.14) (5.52)^2

= 95.73

7 0

3 years ago

Read 2 more answers

The three angles in a triangle are in the ratio 3:5:7. Find the largest angle in the triangle?

Rzqust [24]

Answer: The largest angle is 7x

Step-by-step explanation:

Their sum is 180, so

3x + 5x + 7x = 180

5x = 180 --> x = 12

The largest angle is 7x, which is 7(12) = 84

7 0

3 years ago

Which is the solution to the inequality |x-4|<3

pishuonlain [190]

Answer:

$\large\boxed{1$

Step-by-step explanation:

$|x-4|$

8 0

3 years ago

Read 2 more answers

») What is the volume of a ball with adiameter of 6 centimeters? Use 3.14for (pie)How is the volume of a sphere related tothe vo

Dahasolnce [82]

Volume of a sphere and a cone

We have that the equation of the volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}$

Since 3³ = 3 · 3 · 3 = 27

$\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}$

If we use π = 3.14:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}$

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}$

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

$V=\frac{1}{3}\pi r^2h$

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

$\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}$

Then, we have:

3² = 9

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\ \end{gathered}$

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

5 0

1 year ago

Please solve itI need to submit this by tomorrow ​

Please solve itI need to submit this by tomorrow