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SpyIntel [72]
3 years ago
13

Which ordered pair is a solution to this system of equations?y = x2 – 3x + 3 y = 3x – 6

Mathematics
1 answer:
RSB [31]3 years ago
8 0
Assuming the first term in the first equation is actually x^2, then the ordered pair is C. (3, 3).
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A veterinarian weighed a sample of 666 puppies. Here are each of their weights (in kilograms): 1, 2, 7, 7, 10, 151,2,7,7,10,151,
rjkz [21]

Answer:

The standard deviation of the weight, σ, is approximately 4.73 kg

Step-by-step explanation:

The weights of the six puppies are;

x_i = 1, 2, 7, 7, 10, and 15

The number of puppies, n = 6

Therefore, we have;

The mean = μ = ∑x/n = (1 + 2 + 7 + 7 + 10 + 15)/6 = 7

The standard deviation, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{n}}

By substituting, we have;

\sigma =\sqrt{\dfrac{ \left (1-7  \right )^{2} + \left (2-7  \right )^{2} + \left (7-7  \right )^{2} + \left (7-7  \right )^{2} + \left (10-7  \right )^{2} + \left (15-7  \right )^{2} }{6}}

Simplifying gives;

\sigma =\sqrt{\dfrac{ \left (-6  \right )^{2} + \left (-5  \right )^{2} + \left (0  \right )^{2} + \left (0  \right )^{2} + \left (3 \right )^{2} + \left (8  \right )^{2} }{6}} =\sqrt{\dfrac{ 36 + 25 + 0 +0+ 9 + 64 }{6}}

\sigma =\sqrt{\dfrac{ 134 }{6}} = \sqrt{\dfrac{67}{3} } \approx 4.72582

The standard deviation of the weight, σ ≈ 4.73 kg to two decimal places.

4 0
3 years ago
Read 2 more answers
11.MARTIAN FINDS A SHIRT ON SLAE FOR 10% OFF AT A DEPARTMENT STORE. THE ORIGINAL PRICE WAS $20.Martain must also pay 8.5% sales
Snowcat [4.5K]
A. Find 10% of $20, which is $2. Then subtract the sale 20-2, which is $18
B. Since you know the price without taxes is $18, you have to multiply 8.5% of 18, which is $1.53. $18.00 + $1.53= $19.53

So the answer is $19.53


Hope this helped
5 0
3 years ago
Mandy has 50 yards of fabric to make costumes for a play. She makes 12 skirts that take 3 yards each, and 9 hats that take 1 yar
Otrada [13]
50 yards. You are going to be taking away from that 50, so "50 -" should be part of the expression. This eliminates C.

12 skirts that take 3 yards each means 3 yards * 12 skirts which is 3 * 12. This is being subtracted from 50.
We also want to subtract 9 hats * 1 yard which is 9 * 1 = 9

Our expression will look like this: 50 - 12 * 3 - 9 * 1
or 50 - 12 * 3 - 9, which is D
6 0
4 years ago
Read 2 more answers
Find the cost of 4 tubes of oil paint and 2 canvases
Alona [7]

Answer:

You have to put in the whole word problem

Step-by-step explanation:

5 0
4 years ago
PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)
GarryVolchara [31]

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

d =  \sqrt{ ({18 - 87})^{2} +  ({ - 24 - 100})^{2}  }  \\  =  \sqrt{ ( { - 69})^{2}  + ( { - 124})^{2} }  \\  =  \sqrt{4761 + 15376}  \\  = \sqrt{20137}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 141.90489773...

We have the final answer as

<h3>141.90 units</h3>

Hope this helps you

5 0
3 years ago
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