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elixir [45]
4 years ago
5

Solve the inequality 2 less than or equal to x and negative 3 less than or equal to 6

Mathematics
1 answer:
boyakko [2]4 years ago
4 0
The answer is 2<x and -3<6
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In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go
Licemer1 [7]

Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259

Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:

1) Find the proportion p=\frac{x}{n}, in which x is the number of people with the desired condition. In our case, p=0.9;

2) Calculate margin of error, i.e.:

z\sqrt{\frac{p(1-p)}{n}}

z is z-score, which for a 95% confidence, equals 1.96;

Substituting with the data given:

1.96(\sqrt{\frac{0.9(1-0.9)}{514}}) = 0.0259

3) Write: p ± z\sqrt{\frac{p(1-p)}{n}}

In our case, the interval will be 0.9 ± 0.0259.

<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259

7 0
3 years ago
The equation of a line is x + 3y = 14. What is the y-intercept of the line?
BaLLatris [955]

Answer:

First of all, before writing the y-intercept you need to make sure that the equation is in slope intercept form.

x + 3y = 14

3y = 14 - x

y = 14/3 -x/3

y= -x/3 + 14/3

                         14/3 is the y-intercept

3 0
3 years ago
Algebra 1: Consecutive Integers
V125BC [204]
X equals the smallest. x+2 equals the next largest and x+4 equals the third largest.

x+(x+2)= 3(x+4)
2x+2= 3x+12
2x= 3x+10
-x=10
x=-10

Final answer: -10, -8, -6
8 0
4 years ago
Geometry, Inverse Trigonometry Find the measure of the indicated angle to the nearest degree
kkurt [141]

Answer:

? = 44 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan ? = 46/48

Take the inverse tan of each side

tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)

   ? = 43.78112476

To the nearest degree

? = 44 degrees

3 0
3 years ago
Interior and Exterior Triangle Angles<br><br> plz help
MatroZZZ [7]

Answer:

∠ N = 41°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

6x + 1 + 3x - 10 + x + 19 = 180, simplifying

10x + 10 = 180 ( subtract 10 from both sides )

10x = 170 ( divide both sides by 10 )

x = 17

Thus

∠ N = 3x - 10 = 3(17) - 10 = 51 - 10 = 41°

3 0
3 years ago
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