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jolli1 [7]
4 years ago
15

Solve the compound inequality.

Mathematics
1 answer:
larisa [96]4 years ago
7 0

Answer:

Step-by-step explanation:

9 - 4x > = 5                         or               4(-1 + x) - 6 > = 2

-4x > = 5 - 9                                           -4 + 4x - 6 > = 2

-4x > = -4                                                4x - 10 > = 2

x < = -4/-4                                              4x > = 2 + 10  

x < = 1                                                    4x > = 12

                                                              x > = 12/4

                                                              x > = 3

answer is : B

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In a sample of 408 new websites registered on the Internet, 37 were anonymous (i.e., they shielded their name and contact inform
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Answer: (0.0628,\ 0.1186)

Step-by-step explanation:

Given : Significance level : \alpha:1-0.95=0.05

Critical value : z_{\alpha/2}=\pm1.96

Sample size : n= 408

Proportion of new websites registered on the Internet were anonymous :

\hat{p}=\dfrac{37}{408}\approx0.0907

The formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.0907\pm (1.96)\sqrt{\dfrac{0.0907(1-0.0907)}{408}}

=0.0907\pm0.0278665515649\\\\\approx 0.0907\pm0.0279\\\\=(0.0907-0.0279,\ 0.0907+0.0279)\\\\=(0.0628,\ 0.1186)

Hence,  the 95 percent confidence interval for the proportion of all new websites that were anonymous = (0.0628,\ 0.1186)

8 0
3 years ago
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Step-by-step explanation:

4 0
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8 0
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Can you simplify 49 over 98
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Well, I don't know.
Let's see . . .

To simplify any fraction, you divide both the numerator and denominator
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4 years ago
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