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3 years ago

Which is the graph of linear inequality 6x+2y>-10

Mathematics

1 answer:

NemiM [27]3 years ago

8 0

For this case we have the following inequality:
$6x + 2y\ \textgreater \ -10
$
The first thing we must do is to graph the linear function:
$6x + 2y = -10
$
Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer:
See attached image.

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zysi [14]

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, $\mu=18$

and standard deviation, $\sigma=2.6$

The z-score, for any arbitrary life span of x year, is given by

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

By using the given values, we have

$z=\frac{x-18}{2.6} \cdots(i)$

The z-score for x=24, by using equation (i), is

$z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31$

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

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2 years ago

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Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 864 po

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Answer:

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

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Step-by-step explanation:

Given that :

2 point goals

Number of 3 point goals = x

Number of 2 point goals = 3x - 62

Number of free throws = 3x - 62 - 30 = 3x - 32

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12x = 864+ 124 + 32

12x =1020

x = 1020 / 12

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Answer:

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