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2 years ago

Is(–9, 1)a solution to the inequality x ≥ 7

1 answer:

8 0

Answer: 7. Solve the inequality: 8x − 2 > 0. Solution. First of all, add both sides of the inequality by 2. 8x – 2 + 2 > 0 + 2. 8x > 2. Now, solve by dividing both sides of the inequality by 8 to get; x > 2/8. x > 1/4 Example 8. Solve the following inequality:

Step-by-step explanation:

You might be interested in

In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system

Contact [7]

Answer:

n=206

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.09$ , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.09}{2.58})^2}=205.44$

And rounded up we have that n=206

3 0

3 years ago

Is this a polygon? If it is not a polygon please say why.

Eva8 [605]

Answer:

if you where trying to draw it straight then yes it is a polygon but if it is supposed to be rounded then no it is not.

Step-by-step explanation:

a plane figure with at least three straight sides and angles, and typically five or more.

8 0

3 years ago

Read 2 more answers

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable. True or

vesna_86 [32]

The answer is true
Let's imagine that we have the following function function:
 $y = x ^ 2 
$
We have to:
Independent variable: x
Dependent variable: y
For x = -1:
 $y = (- 1) ^ 2 = 1 
$
 For x = 1:
 $y = (1) ^ 2 = 1 
$
 We observe that the independent variable can only obtain one result.
Answer:
True

3 0

3 years ago

Read 2 more answers

Factor: 9t^2-16u^2 ?

liq [111]

Answer:

Step-by-step explanation:

9t²-16u² = 3²t²-4²u² = (3t)²-(4u)² = (3t+4u)(3t-4u)

8 0

3 years ago

Trying to pass 7th grade

Kazeer [188]