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kati45 [8]
3 years ago
9

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
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