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3 years ago

Which expression is equal to p + (q + r)?

Mathematics

2 answers:

Verdich [7]3 years ago

5 0

The answer is letter B.

ANTONII [103]3 years ago

4 0

Your answer is B. (p + q) + r
This is because when doing addition, the order of the addition doesn't matter, as in both instances all of the terms are getting added together. I hope this helps!

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Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of

anyanavicka [17]

Answer:

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

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 interval $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Of 150 adults selected randomly from one town, 30 of them smoke. This means that $n = 150, p = \frac{30}{150} = 0.2$

99% confidence interval

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

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 - 2.575\sqrt{\frac{0.20*0.80}{150}} = 0.1159$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 + 2.575\sqrt{\frac{0.20*0.80}{150}}{119}} = 0.2841$

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

3 0

3 years ago

How do I solve this equation????

Alexus [3.1K]

So for this question (for finding x and y) you will want to use elimination. To do this you will need to bring the x and y to the same side (I put them on the left):
-3/2x+y=6
x+y=0
Now subtract the y on the bottom from the top to isolate x:
3/2x=6
Now the easiest way to bring over the 3/2 to isolate the x fully is to convert it to decimal (1.5) and divide it by 6 (because when multiplication on one side of problem the only way to bring it over is to divide):
x=6/1.5
which simplifies to:
x=4
Hope this helps!

4 0

3 years ago

What function is graphed below?

tester [92]

The answer for the exercise shown above is the first option, which is:
<span> f(x)=log(x-3)
The explanation is shown below:
If you substitute the x in the function for values, you will obtain the graph attached above. As you can see on the mentioned graph, when the variable x has the value 4, the value y is 0. Therefore, you have:
</span> f(x)=log(x-3)
  f(x)=log(4-3)
  f(x)=log(1)
  f(x)=0<span>
</span>

3 0

3 years ago

Read 2 more answers

What is the distance between the points (2, 1) and (14, 6) on a coordinate

Naddika [18.5K]

The distance between the points (2,1) and (14,6) on a coordinate is C. 13 units

8 0

3 years ago

Read 2 more answers

Please answer correctly! I will mark Brainliest!

Pie

Answer: