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Arisa [49]
2 years ago
12

After learning the midpoint construction Sally realizes that she could determine one fourth the length of a segment how could sh

e do this explain and diagram
Mathematics
1 answer:
Viefleur [7K]2 years ago
7 0
The midpoint of two points is the point which divides the line segment joining the two points into two equal parts.

Suppose, we have a line segment AB with a point C, between point A and point B such that the distance AC is equal to the distance CB, then we say that point C is the midpoint of line AB.

Suppose, we have another point D between point A and point C, such that the distance AD is equal to the distance DC, then we say that point D is the midpoint of AC.

Notice that point D is a fourth of line segment AB.

Thus, AD is <span>one fourth the length of segment AB.

Therefore, one fourth the length of a segment can be obtained by evaluating the midpoint of the midpoint of the line segment.
</span>
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A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction, percent, and decimal.
slava [35]
The fraction of squares shaded to total squares is 70/100  or 7/10
With a percent, 70% of all of the squares are shaded
With a decimal, there are 0.7 shaded blocks for every total block, so it is 0.7
Hope this helps!
6 0
2 years ago
Read 2 more answers
The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
2 years ago
Four gallons of paint are used to paint 20 chairs and 5 small tables.if each chair and table used the same amount of paint, how
Vinil7 [7]

Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

\frac{4}{25}=0.16\ \frac{gallons}{piece}

therefore

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

7 0
2 years ago
Brett plays an acoustic guitar at an event for $500. At the end of the event, the sponsor tips him 20%. How much does Brett make
Blababa [14]
Brett makes $510

First you’ll have to multiply $500 by 0.020 (you have to convert 20%) and you’ll get 10. You then add the 10 to 500 to get $510
8 0
2 years ago
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Factor completely.<br> ​ <br> 18b−32<br> ​<br> Enter your answer in the boxes.<br><br> ___(___)
Kamila [148]
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
5 0
2 years ago
Read 2 more answers
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