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3 years ago

Explain why partitioning a directed line segment into a

Mathematics

2 answers:

shtirl [24]3 years ago

4 0

Answer:

Step-by-step explanation:

This is actually a very important question and it is very subtle. Let's just take an ordinary segment.

Suppose we have a segment that is this long

=========o=========

The segment up to the o is nine equal signs long.

The segment after the o is also nine equal signs long.

Here's the crunch. Since they are equal, the ratio is 1 to 1. The segment is divided in half.

Now take the second half of the question.

======o============

The left side of the o is 6 equal signs long.

The right side of the o is 12 equal signs long.

The ratio is 1:2. There are still 18 equal signs but now they are divided as 6/12 which is not the same thing as 9/9

Very interesting question.

Mashutka [201]3 years ago

4 0

Answer:

A ratio of 1:2 means that there are 3 parts in total. One part will be before the desired point, and 2 parts will be after the desired point. This is the same as finding the point that is 1/3 the length. Half the length of the segment would mean there would only be two pieces, each of equal size.

Step-by-step explanation:

Sample Response...

You might be interested in

If y=15 when x=3/4, find x when y =25. Show work please!

-BARSIC- [3]

Set up a proportion: x/y = x/y

(.75)/(15) = (x)/(25)

Then cross multiply:

(.75)(25) = (15)(x)

18.75 = 15x

x = 1.25 or (5/4)

There you go :)

6 0

3 years ago

Whats 387 rounded to the nearests 100

torisob [31]

I rounded it and the answer is 400

4 0

3 years ago

9.3.2 Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d

kotegsom [21]

Answer:

$\frac{}{d}$ = −0.26

$s_{d}$ = 0.4219

Step-by-step explanation:

Given:

Sample1: 98.1 98.8 97.3 97.5 97.9

Sample2: 98.7 99.4 97.7 97.1 98.0

Sample 1 Sample 2 Difference d

98.1 98.7 -0.6

98.8 99.4 -0.6

97.3 97.7 -0.4

97.5 97.1 0.4

97.9 98.0 -0.1

To find:

Find the values of $\frac{}{d}$ and $s_{d}$

d overbar ( $\frac{}{d}$ ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

$\frac{}{d}$ = ∑d/n

= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

= −1.3 / 5

$\frac{}{d}$ = −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

$s_{d}$ = √∑( $d_{i}$ - $\frac{}{d}$ )²/ n-1

$s_{d}$ =

√ $(-0.6 - (-0.26))^{2} + (-0.6 - (-0.26))^{2} + (-0.4 - (-0.26))^{2} + (0.4-(-0.26))^{2} + (-0.1 - (-0.26))^{2} / 5-1$

= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −

(−0.26))² + (−0.1 − (−0.26))² / 5−1

= $\sqrt{\frac{0.1156 + 0.1156 + 0.0196 + 0.4356 + 0.0256}{4} }$

= $\sqrt{\frac{0.712}{4} }$

= $\sqrt{0.178}$

= 0.4219

$s_{d}$ = 0.4219

Subscript d represent

μ $_{d}$ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.

3 0

3 years ago

Three universities receive endowments totaling 110 million dollars. Northern U receives twice as much as wester U. Eastern Us en

puteri [66]

Answer:

Western U gets 20 million

Norther U gets 40 million

Eastern U gets 50 million

Step-by-step explanation:

We need to find the amount each university gets.

Let

Northern U get n

Western U get w

Eastern U get e

We can write equations from the given word problem:

n + w + e = 110

and

n = 2w

e = n + w - 10

Putting 2nd in 3rd, we get:

e = 2w + w - 10

e = 3w - 10

Now putting this and 2nd in first, we solve for w:

n + w + e = 110

2w + w + 3w - 10 = 110

6w = 120

w = 20

AND n = 2 (20) = 40

AND e = 3(20) - 10 = 50

So,

Western U gets 20 million

Norther U gets 40 million

Eastern U gets 50 million

5 0

3 years ago

A population of penguins is given by Pt=P0⋅3t5 where t is the time in years, t≥0. How long does it take for the population to tr

PolarNik [594]

Answer:

5 years

Step-by-step explanation:

If the population of penguins is given by the function:

$P(t)=P_0\cdot 3^{t/5}$

Initial Size = $P_0$

Triple its Initial Size, P(t)= $3P_0$

Therefore:

$3P_0=P_0\cdot 3^{t/5}\\$Divide both sides by P_0\\3=3^{t/5}\\$Since they have the same base\\1=t/5\\Cross multiply\\t=5$

It therefore takes 5 years for the penguin population to triple in size.

5 0

3 years ago