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Jet001 [13]
3 years ago
10

3) Ashley uses the two points on the coordinate plane to represent the location of her house and the public library. Each unit o

n the graph represents 1 mi. How far is the public library from Ashley’s? Show your work.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles
You might be interested in
A triangle has two sides of length 1 and 2. What compound inequality describes the possible lengths for the third side, x?Write
klemol [59]

Step-by-step explanation:

since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be

side < 1 + 2 = 3

so,

side < 3

for a lower limit let's go through the cases

1 < 2 + side (is always true)

2 < 1 + side

1 < side (side must be larger than 1)

and again

side < 1 + 2 = 3

side < 3

so the full restriction for the third side is

1 < side < 3

7 0
2 years ago
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th
ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

z=\frac{x-\mu}{\sigma}

z=\frac{38-38}{6}=\frac{0}{6}=0

Now we will find z-score corresponding to 56.

z=\frac{56-38}{6}=\frac{18}{6}=3

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is -3\sigma\text{ to }3\sigma.

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

\frac{99.7\%}{2}=49.85\%

Therefore, approximately 49.85\% of lightbulb replacement requests numbering between 38 and 56.

6 0
3 years ago
Another name for the natural number is
Sonbull [250]
Literally just learned this in algebra are you a freshman too ????? lol


A natural number is a positive or nonnegative integer. All the counting numbers, (1, 2, 3, etc.) are natural numbers. Other names for the same type of object include whole number and counting counting.
3 0
3 years ago
Plz help me with this
goldenfox [79]
Area of triangle=1/2(base×height)
360=1/2((4x-2)(7x+5))
720=(4x-2)(7x+5)
FOIL the binomial
720=28x^2+6x-10
Bring 720 to the other side
28x^2+6x-10-720=0
28x^2+6x-730=0
Factor 2 out
2(14x^2+3x-365)=0
Factor 2(14x+73)(x-5)=0
x-5=0
x=5
It can't be 14x-73=0 because the length can't be negative.
You're welcome.
5 0
3 years ago
On a team, 8 girls and 7 boys scored a total of 128 points. The difference between the number of points scored by the eight girl
andriy [413]

Answer:

8

Step-by-step explanation:

128-16=112

112÷15(boys+girls)=7.4666666

7.4666666 rounds to 8

7 0
3 years ago
Read 2 more answers
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