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lesantik [10]
4 years ago
13

Solve for x: 3 < x + 3 < 6 45 points.

Mathematics
2 answers:
Bezzdna [24]4 years ago
8 0

Answer:

0 < x < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 across the inequality

3 - 3 < x + 3 - 3 < 6 - 3

0 < x < 3

irinina [24]4 years ago
3 0

Answer:

0 < x < 3

Step-by-step explanation:

3 < x + 3 < 6    (Subtract 3 from all terms)

0 < x < 3    (The third option is the answer)

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The quotient of a number and four increased by three.

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3 years ago
A box contains marbles of five different colors: red, green, blue, yellow, and purple. there is an equal number of each color. a
olga nikolaevna [1]
P(red) = 1/5     [that says "probability of getting red is one fifth"
P(green) = 1/5
P(blue) = 1/5
P(yellow) = 1/5
P(purple) = 1/5

The reason the fractions are all the same is that there are equal numbers of each color.  For example, if there were 7 marbles of each color, there would be a total of 35 marbles.

P(red) = 7/35 = 1/5
Similar for the other colors.
6 0
3 years ago
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

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

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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3 years ago
Write the following comparison as a ratio reduced to lowest terms <br><br> 31 hours to 7 days​
alina1380 [7]
31:7 days hope this helps.
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3 years ago
Find the value of 3, y, &amp; z<br> 35°<br> х<br> Z<br> y
Pachacha [2.7K]

Answer:

3y

Step-by-step explanation:

3 0
3 years ago
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