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daser333 [38]
1 year ago
13

Which inequality describes this graph?

Mathematics
1 answer:
ZanzabumX [31]1 year ago
4 0

The inequality that describes this graph of the number line is x ≥ 4

<h3>How to determine the inequality that describes this graph?</h3>

From the question, we have the following properties:

  • The graph is a number line
  • The number line extends at both ends
  • The number line starts from less than -5 and ends at greater than 5
  • There is a heavy arrow that extends from a circle over positive 4 to the right.

The property 3 above implies that the domain of the number line is the set of all real numbers.

The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4

This is represented by the following inequality

x ≥ 4

Hence, the inequality that describes this graph of the number line is x ≥ 4

Read more about number line at

brainly.com/question/24644930

#SPJ1

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The sum of 2 fractions is 5/6. Their difference is 1/2. Their least common denominator is 6. The denominator of one is twice the
valentinak56 [21]

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose the first fraction is : \frac{a}{b}

Suppose the second fraction is : \frac{c}{d}

The sum of both fraction is given as : \frac{5}{6}

\frac{a}{b}+\frac{c}{d}=\frac{5}{6}    .......................equation (1)

The difference of both fraction is given as : \frac{1}{2}

\frac{a}{b}-\frac{c}{d}=\frac{1}{2}   .........................equation (2)

Adding equation (1) and equation (2)

\frac{c}{d} \ will  \ be \ cancelled

\frac{2a}{b}=\frac{5}{6}+\frac{1}{2}

making common denominator

\frac{2a}{b}=\frac{5}{6}+ \frac{3}{6}

\frac{2a}{b}=\frac{8}{6}

Hence,

\frac{a}{b}=\frac{2}{3}

Plugging the value of \frac{a}{b} in equation (1)

\frac{2}{3}+\frac{c}{d}=\frac{5}{6}

Subtracting \frac{2}{3} in both sides

\frac{c}{d}=\frac{5}{6}-\frac{2}{3}

\frac{c}{d}=\frac{1}{6}

Hence both fractions are \frac{2}{3} \ and \  \frac{1}{6}     ...................Answer

Hope it will help :)

7 0
3 years ago
Q 4.6: In a survey of 1,000 adults living in a big city, 540 participants said that they prefer to get news from the Internet, 3
Liono4ka [1.6K]

Answer:

<h2>Option E is correct.</h2>

Step-by-step explanation:

In a survey of 1,000 adults living in a big city, 540 participants said that they prefer to get news from the Internet, 330 prefer to watch news on TV, and 130 are rarely interested in the current news. We want to test if the proportion of people getting the news from the Internet is more than 50%. By generating the randomization distribution, we find that the p-value is 0.0057. Choose the correct statement interpreting the p-value.

A.If the proportion of people getting the news from the Internet is not equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

B. If the proportion of people getting the news from the Internet is not equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

C. If the proportion of people getting the news from the Internet is equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion less extreme compared to the survey results. р

D. If the proportion of people getting the news from the Internet is equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

E. If the proportion of people getting the news from the Internet is equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

The correct interpretation of P value will be:

if the proportion of people getting the news from internet is equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as survey results.

<h2>Option E is correct.</h2>
4 0
3 years ago
Can u order these number form least to greatest -243, -145, 30, -190​
balandron [24]
-243, -190, -145, 30
5 0
3 years ago
Read 2 more answers
A park is in the shape of a rectangle 8 miles long and 6 miles wide. What is the diagonal length across the park?
sergejj [24]

Answer:

The diagonal length is 10 miles.

Step-by-step explanation:

This is the work of the Pythagorean theorem : a^{2} + b^{2} = c^{2}

-------------------------------

8^2 + 6^2 = c^2\\100 = c^2\\10=c

Good Luck!!!

4 0
2 years ago
Read 2 more answers
Two parallel lines are cut by a transversal. What is the measure of &lt;6?
scoray [572]

Answer:

D. 80°

<4 is 100°. supplement to <3 80° =180°

and <3 and <6 are equal "ALTERNATE INTERIOR ANGLE"

3 0
2 years ago
Read 2 more answers
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