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Alinara [238K]
3 years ago
12

HELP MEEE!! Please evaluating a compound. Inequality using a graph

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer:

\frac{x}{2}

Step-by-step explanation:

From the graph, we can conclude that,

x is less than 2 and not including as there is a hollow circle at the mark 2.

Also, x is greater than or equal to 7 including 7 as there is a solid circle at the mark 7

So, the compound inequality will be x

Now, the option that simplifies to the above inequality is the required answer.

Let us check the first option.

\frac{x}{2}

\frac{x}{2}

Therefore, option 1 simplifies to the above compound inequality.

So, the correct answer is option 1.

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A set of data with a mean of 53, and a standard deviation of 6.2 is normally distributed. Find the value of a data point that is
Evgesh-ka [11]

The value of a data point that is -2 standard deviations from the mean

so, 40.6 to 65.4.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:

= 53- 6.2- 6.2

= 40.6

The value of a data point that is -2 standard deviations from the mean

53 + 6.2 + 6.2

= 65.4

Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

7 0
2 years ago
Which of the following best describes the slope of the line below?
Lina20 [59]

Answer:

I think the answer is A.Negative

Step-by-step explanation:

From x=-5 to x=0 the slope is decreasing and from x=1 to x=6 it keeps decreasing.

4 0
3 years ago
I need this asap pleasee!
miv72 [106K]

Answer:

The answers are below

Step-by-step explanation:

The greater sign is > and the less then symbol is <

Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.

In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3

In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is  x > 3

Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3

If you're wondering what the open dots and closed dots mean:

An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).

A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).

6 0
2 years ago
2.<br> Given that a = 7, b = 5 and c = 5.<br> Find the square root of<br> 3a + 2b + c
ollegr [7]

Step-by-step explanation:

3a + 2b + c  =  3(7) + 2(5) + 5 \\  = 21 + 10 + 5 \\  = 36 \\  \sqrt{3a + 2b + c}  =  \sqrt{36}  \\  = 6

5 0
3 years ago
Simplify completely sqrt of 20Y^8
brilliants [131]

Answer:

Final answer is 2y^4 \sqrt{5}.

Step-by-step explanation:

Given expression is \sqrt{20y^8}.

Now we need to smplify the given expression \sqrt{20y^8}.

So begin with factoring 20 into two parts so that one part is perfect square number.

\sqrt{20y^8}

=\sqrt{4 \times 5y^8}

=\sqrt{4 y^8} \times \sqrt{5}

=2y^4 \times \sqrt{5}

Hence final answer is 2y^4 \sqrt{5}.

3 0
3 years ago
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