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Black_prince [1.1K]
3 years ago
6

How to solve 4|x+6|greater than or equal to 20

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer: x greater than or equal to -1

Step-by-step explanation:

4|x + 6| greater than or equal to 20

4x + 24 greater than or equal to 20

4x greater than or equal to -4

x greater than or equal to -1

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A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should di
frutty [35]

Answer:

The sample size suggested by this statement is of at least 4145.

Step-by-step explanation:

This statement states that the 99% confidence interval has a margin of error of 2 percentage points.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level:

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

Find the sample size suggested by this statement.

The sample size is at least n.

n is found when M = 0.02.

We don't know the true proportion, so we use \pi = 0.5, which is when the largest sample size will be needed.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.02}

(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.02})^{2}

n = 4144.14

Rounding up

The sample size suggested by this statement is of at least 4145.

5 0
3 years ago
Hey can someone help me with thsi
grin007 [14]
Where is the picture??? maybe i can help out
5 0
2 years ago
Read 2 more answers
Which lines are perpendicular to the line y - 1= 1(x+2)? Check all that apply
Vesnalui [34]

Step-by-step explanation:

Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

Rewrite the equation given

y-1 = 1(x+2)

y-1 = x+2

y = x+2+1

y = x+3

Comparing to the standard form, the slope m = 1.

For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1

Substitute

1(M) = -1

M = -1

For us to know the line that is perpendicular to the given line, its slope must be -1.

<em>Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).</em>

<em></em>

6 0
3 years ago
12=n/5 <br><br> what does n equal <br> also n/5 is supposed to be a fraction
blsea [12.9K]
60 do the inverse by multiplying the numbers you have
3 0
3 years ago
Read 2 more answers
Write each exponential function. <br>​
Dmitriy789 [7]

Answer:

0,4 1,2 2,1 3.5 4.25

Step-by-step explanation:

because i know

6 0
2 years ago
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