3 years ago

Myra swims 3/5 of a mile farther than Luke. If luke swims 2 4/10 miles. How many miles does Myra swim?

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Myra swims 3 miles in total

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Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li

Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

$SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}$

Here $\mu_{c}$ is the combined mean given by:

$\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}$

It is provided that the sample size is same for both the data sets, i.e. $n_{X} = n_{Y}=n$

Compute the combined mean as follows:

$\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10$

Compute the combined standard deviation as follows:

$SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114$

Thus, the combined standard deviation is 1.58114.

3 0

3 years ago

Find the 11th term of the arithmetic sequence an=<br> 24 – 7(n - 2)<br> 2115

sweet [91]

Answer:

Let's simplify

24−7(n−2)(2115)

Step-by-step explanation:

step-by-step.

=−14805n+29634

I hope my answer helped

7 0

2 years ago

PLS HELP Hannah and Brooklyn are two of the partners in a business. Hannah makes $3 in profit for every $4 that Brooklyn makes.

Dennis_Churaev [7]

Answer:

77$

Step-by-step explanation:

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2 years ago

Which ordered pair represents the plotted point on the graph?

mezya [45]

Hope this helps but the answer is A.(-5,2)

7 0

2 years ago

Read 2 more answers

What number go were for gretest to least 0.38 0.34 7/20 and 1/5

valentinak56 [21]

Answer:

turn the fractions into decimals

7/20 = 0.35

1/5 = 0.20

the answer is

0.38 then 7/20 then 0.34 then 1/5

3 0

3 years ago