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2 years ago

6

HELP FAST! 15 POINTS! PLEASE HELP!

1 answer:

masha68 [24]2 years ago

6 0

Answer:

Step-by-step explanation:

Basically, in each option, you have to find the relationship between x and y (for one pair). Like in option #1 - how do you get 1.5 from 3? divide it by 2. Now you apply it for all numbers. It the outcome the same? No. 7 ÷ 2 ≠ 3.

You do the same process for all, until you are left with the last one. y = 50x

The last option is the answer.

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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

Simple and easy question<br> please help

In-s [12.5K]

Answer:

Total volume of the figure = 1067 cm³

Step-by-step explanation:

Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

Volume of the rectangular prism = Length × Width × Height

= 10 × 10 × 7

= 700 cm³

Volume of the square pyramid = $\frac{1}{3}(\text{Area of the base})\times (\text{height})$

= $\frac{1}{3}(\text{Side})^2$ × height

= $\frac{1}{3}(10)^2(18-7)$

= 366.67 cm³

Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³

≈ 1067 cm³

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