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3 years ago

The graph shows the locations of a ball player seconds after

Mathematics

2 answers:

Katarina [22]3 years ago

4 0

There is no graph. If you submit a graph I will answer this for you though.

nekit [7.7K]3 years ago

3 0

Like the graph... where is it?

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A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98

pshichka [43]

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 2.36

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

4 0

2 years ago

Write the equation ∣4−r/3∣=7 as two separate equations, and enter each equation in its own answer box below. Neither of your equ

Naddik [55]

Answer:

4 - r/3 = 7 and 4 - r/3 = -7

Step-by-step explanation:

absolute value equations get split into a positive equation and a negative equation

4 - r/3 = 7 and 4 - r/3 = -7

6 0

3 years ago

Helpppppppppppppppppppppppppppppppppp

djverab [1.8K]

Answer:

first you would find the sum of all the people who DONT have grey hair (15)

5:15 or if simplified it would be 1:3 pls mark brainliest if correct :D

3 0

3 years ago

What is (-m)-3n if m = 2 and n = -24?

Sauron [17]

Answer:

Step-by-step explanation:

Knowing both values of variables m and n, you could substitute each of the values inside the equation.

=(-(2))-3(-24)

=(-2)+72

=70

Hope it helped! (:

3 0

2 years ago

The accompanying data on x = current density (mA/cm2) and y = rate of deposition (µm/min) appeared in an article. Do you agree w

Sever21 [200]

Answer:

$r=\frac{4(321)-(200)(5.17)}{\sqrt{[4(12000) -(200)^2][4(8.6861) -(5.17)^2]}}=0.98726$

So then the correlation coefficient would be r =0.98726

And the determination coeffcient would be:

$r^2 = 0.98726^2 = 0.975$

And that means that the a linear model will explain about 97.5% of the variability in the data. So for this case we can conclude that we have a strong linear relationship.

Step-by-step explanation:

Data given

col1 x 20 40 60 80

col2 y 0.24 1.10 1.71 2.12

Solution to the problem

We can find the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=4 $\sum x = 200, \sum y = 5.17, \sum xy = 321, \sum x^2 =12000, \sum y^2 =8.6861$

$r=\frac{4(321)-(200)(5.17)}{\sqrt{[4(12000) -(200)^2][4(8.6861) -(5.17)^2]}}=0.98726$

So then the correlation coefficient would be r =0.98726

And the determination coeffcient would be:

$r^2 = 0.98726^2 = 0.975$

And that means that the a linear model will explain about 97.5% of the variability in the data. So for this case we can conclude that we have a strong linear relationship.

3 0

3 years ago