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olchik [2.2K]
2 years ago
14

I need help on all of them T-T (I'm bad at math)

Mathematics
1 answer:
Sav [38]2 years ago
3 0

Answer:

Once you upload a picture I'll help by editing my response :)

Step-by-step explanation:

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The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey h
satela [25.4K]

The given sample's confidence interval is 4.73 ± 0.1199, or from 4.61 to 4.85

<h3>What is the z score?</h3>

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

Given data;

Mean  = 4.73

Standard deviation  = 0.865

Sample size  = 200

interval  = 95%

Confidence interval=?

95% of samples contain the population mean (μ) within the confidence interval of 4.73 ± 0.1199.

Hence, the sample's confidence interval is 4.73 ± 0.1199, from 4.61 to 4.85

To learn more about the Z score, refer to;

brainly.com/question/15016913

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4 0
2 years ago
A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
jonny [76]

Answer:

2580 ft-lb

Step-by-step explanation:

Water leaks out of the bucket at a rate of \frac{0.15 \mathrm{lb} / \mathrm{s}}{1.5 \mathrm{ft} / \mathrm{s}}=0.1 \mathrm{lb} / \mathrm{ft}

Work done required to pull the bucket to the top of the well is given by integral

W=\int_{a}^{b} F(x) dx

Here, function F(x) is the total weight of the bucket and water x feet above the bottom of the well. That is,

F(x)=4+(42-0.1 x)

=46-0.1x

a is the initial height and b is the maximum height of well. That is,

a=0 \text { and } b=60

Find the work done as,

W=\int_{a}^{b} F(x) d x

=\int_{0}^{60}(46-0.1 x) dx

&\left.=46x-0.05 x^{2}\right]_{0}^{60}

=(2760-180)-0[

=2580 \mathrm{ft}-\mathrm{lb}&#10;

Hence, the work done required to pull the bucket to the top of the well is 2580 \mathrm{ft}- \mathrm{lb}

4 0
2 years ago
Kars
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vaka laka vakanlaka vaka laka

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