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Marizza181 [45]
3 years ago
13

Solve: -18 = -3x + 6

Mathematics
2 answers:
Stella [2.4K]3 years ago
8 0

Let's start by moving all like terms to their own sides:

-18 = -3x + 6

3x = 6 + 18

3x = 24

x = 8

7nadin3 [17]3 years ago
5 0

Step-by-step explanation:

- 18 =  - 3x + 6 \\  \\ 3x = 6 + 18 \\ \\  3x = 24 \\ \\  x =  \frac{24}{3}  \\  \\  \huge \red  { \boxed  {x = 8}}

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A random sample of of 100 voters in a town is selected, and 24 are found to support an annexation suit. Find the 96% confidence
lbvjy [14]

Answer: 0.24 +/- 0.088 = (0.152, 0.328)

Step-by-step explanation:

The point estimate p is given by;

p= 24/ 100 = 0.24

Z value for 96% confidence interval is 2.05

The solution for the given confidence interval is derived using the equation

p +/- z√(pq/n)

Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05

= 0.24 +/- 2.05√(0.24×0.76/100)

= 0.24 +/- 2.05(0.0427)

=0.24 +/- 0.088

= ( 0.152, 0.328)

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3 years ago
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Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so  

Now, find the margin of error M as such

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The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

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Rounding up

The minimum sample size to achieve this is 246.

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