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Sergeu [11.5K]
3 years ago
10

Geometry Help please

Mathematics
1 answer:
umka21 [38]3 years ago
5 0
A = (3,2)
B = (7,5)

The difference between x coordinates is 7-3 = 4, which squares to 4^2 = 16
The difference in y coordinates is 5-2 = 3 which squares to 3^2 = 9

add up the squares: 16+9 = 25
Then take the square root: sqrt(25) = 5

So the distance from A to B is 5 units
The length of segment AB is 5 units

The scale factor of 3 tells us to lengthen the segment by a factor of 3. In other words, triple the length
new length = (scale factor)*(old length)
new length = (3)*(5)
new length = 15

Answer: 15
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Does the decimal equivalent of p/q, where p and q are positive integers, contain only a finite number of nonzero digits?
Aleks [24]

A/B is a reduced fraction which can be represented as a terminating decimal if and only b is of the form 2^n5^n where m and n are non negative integers. For example: 7/250, the terminating decimal here is 0.028 as 250 as the denominator equals to 2*5^2.

According to the above, we must know whether the denominator have only 2-s and or 5-s as the prime factors. So,

Q = 8 = 2 ^3 = hence the denominator has only 2 prime factors. Fraction P/Q will be termed as terminated decimal which is sufficient.

4 0
3 years ago
According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif
suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

P(0.79

3 0
3 years ago
0.4 times by 3.7<br>multiplying by decimals
fomenos
3.7
x. .4
_______
148

then use the same number of decimals as are in the first two numbers added together. both have 1 so we need two decimals

1.48
6 0
4 years ago
Read 2 more answers
I’m confused on this one
eduard

The question is asking you to find the measure of YZ's arc.

The arc of a circle is found by finding the central angle. In this case, that's angle YCZ. Remember that a circle's total degrees is 360. Since the angle that you are trying to find is 16% of the circle, you need to find 16% of 360.

360*0.16 = 57.6

The measure of arc YZ is 57.6 degrees.

6 0
3 years ago
Based on the graph, is there an association between
zhuklara [117]

Answer: There is an association because the distribution of correct guesses is the same among the mint groups.

Step-by-step explanation:

We would have to see the graph but I know it's either B or C because the other answer choices don't make sense. I chose B because it seems like the most logical choice of the two.

3 0
3 years ago
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