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natulia [17]
2 years ago
6

Which ordered pair is a solution to the graphed inequality?

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
8 0

Given:

The graph of a system of inequalities.

To find:

The ordered pair which is a solution to the graphed inequality.

Solution:

The boundary lines are:

x-2y=4

2x-y=4

From the given graph it is clear that only point (3,1) lies in the shaded region.

Points (2,-1) and (4,0) lie on the boundary line x-2y=4 but the boundary line is dotted. It means the points on the line are not in the solution set.

point (0,-1) does not belong to the shaded region.

Therefore, the correct option is A.

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The answer is rarefraction
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Raul can read 12 pages in half an hour​
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Answer:

that's good12 pages=1hour 6 pages= 30 min

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A recent poll of 120 randomly selected adults who frequent the local​ farmer's market found that 54 have purchased reusable clot
Olenka [21]

Answer:

95% Confidence interval:  (0.361,0.539)    

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

Number of farmers who reusable cloth bags, x = 54

\hat{p} = \dfrac{x}{n} = \dfrac{54}{120} = 0.45

95% Confidence interval:

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

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

Putting the values, we get:

0.45\pm 1.96(\sqrt{\dfrac{0.45(1-0.45)}{120}}) = 0.45\pm 0.089\\\\=(0.361,0.539)

is the required 95% confidence interval for the proportion of adults who have purchased reusable cloth​ bags.

3 0
4 years ago
Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?​
Serga [27]

Answer:

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

10x + 6 = 5x + 11

10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.

8 0
3 years ago
What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?
attashe74 [19]

Answer:

39,865.1m^3

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

V=\frac{4\pi r^3}{3}

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

r=26.7m

substituting this into the formula for volume:

V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3

this is the volume of the total sphere, thus the volume of a hemisphere is:

\frac{V}{2}=\frac{79,730.12m^3}{2}\\  =39,865.06m^3

rounding to the nearest tenth:

39,865.1m^3

8 0
3 years ago
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