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goldenfox [79]
3 years ago
5

(−19, 12), (−9, 1) Find the slope of the line through each pair of points.

Mathematics
2 answers:
Alchen [17]3 years ago
7 0

Answer:

-11/10

Step-by-step explanation:

Slope = rise/run

m = (12-1) / (-19-(-9))

m = -11/10

steposvetlana [31]3 years ago
6 0

To find the slope(m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}      And plug in the two points

(-19, 12) = (x₁, y₁)

(-9, 1) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1-12}{-9-(-19)}   (two negative signs cancel each other out and become positive)

m=\frac{1-12}{-9+19}

m=\frac{-11}{10}

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G(x)=2x -3<br> What is the value of<br> G(2) - g(3)
Stells [14]

Answer:

-2

Step-by-step explanation:

You plug the values in. 2(2)-3=1, and 2(3)-3=3

1-3=-2

Hope I helped!

8 0
3 years ago
A state park is designed in a circular pattern as shown. A park ranger drives along the circular path from the ranger station to
Alex777 [14]
HOPE THIS HELPS U
Given:Ranger Station to Nature Center = 90°Nature Center to petting zoo = 40°Petting Zoo to Tennis Court = 120°Tennis Court to Pool = 65°Pool to Ranger Station = 45°radius = 1 mile
arc length = 2πr angle/360°
Ranger station to nature center.
arc length = 2 * 3.14 * 1 mile * 90°/360°arc length = 2 * 3.14 * 1 mile * 0.25arc length = 1.57 miles
Nature center to Petting Zoo
arc length = 2 * 3.14 * 1 mile * 40°/360°arc length = 2 * 3.14 * 1 mile * 0.11arc length = 0.70 miles
1.57 miles + 0.70 miles = 2.27 miles or 2.3 miles CHOICE B

7 0
3 years ago
Find the greatest common factor and the least common multiple of 16 and 20. The prime factorizations of each number are given.
kykrilka [37]

Answer:

GCF 4, LCM 80

Step-by-step explanation:

Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.

The LCM is found by multiplying all of the remaining factors by the LCM:

16 still has (2 x 2), 20 still has (5), times the GCF (4)  so 2 x 2 x 5 x 4 = 80.

5 0
2 years ago
Which of the following expressions have a quotient of −17?
beks73 [17]

Answer:

C = -6

Step-by-step explanation:

1 +-7 =-6:::::::::::::::::::

5 0
3 years ago
Of 560 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared
frutty [35]

Answer:

a) (0.5256,0.5944)  

c) Criticism is invalid

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 560

Proportion of mislabeled = 56%

\hat{p} = 0.56

a) 90% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.64

Putting the values, we get:

0.56\pm 1.64(\sqrt{\dfrac{0.56(1-0.56)}{560}}) = 0.56\pm 0.0344\\\\=(0.5256,0.5944)

b) Interpretation of confidence interval:

We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.

c) Validity of criticism

Conditions for validity:

np > 10\\n(1-p)>10

Verification:

560\times 0.56 = 313.6>10\\560(1-0.56) = 246.4>10

Both the conditions are satisfied. This, the criticism is invalid.

8 0
3 years ago
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