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3 years ago

Look at the box-and-whisker plot. What is the measure of the first quartile (Q1)?

Mathematics

1 answer:

Delicious77 [7]3 years ago

6 0

Please provide the Box and whisker plot so that we can answer the question.

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How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.

Lelechka [254]

In this sum we will calculate using the simple interest.

Simple interest is calculated from the formula :

I = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

We have to turn 3% to its decimal fraction which is 0.03, so:

I = 2000 × 0.03 × 2

I = 60 × 2

I = 120

Therefore the interest earned in two years will amount to 120 $

7 0

3 years ago

A conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base

Aliun [14]

Answer:

$2\ cm$

Step-by-step explanation:

$We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h$

$As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel$

$Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm$

8 0

3 years ago

2 times 2.1-(2.8 times 1.5)

natali 33 [55]

The simplest answer is 0 if u actrually do the work if u have to sneak a calculator in XD

5 0

3 years ago

1/3 of a number decreased by 13 equals 45

mezya [45]

Answer:

174

Step-by-step explanation:

45+13=58

58*3

6 0

3 years ago

Solve for x: 3(x + 1) = −2(x − 1) + 6.

Juliette [100K]

3(x+1) = -2(x-1) + 6
3x + 3 = -2x + 2 + 6
5x + 3 = 8
5x = 5
x = 1

6 0

4 years ago