All categories

2 years ago

dion ran 3.75 killometers every day to prepare for a race what was the number of killometers that dion ran during 28 days

Mathematics

1 answer:

irina1246 [14]2 years ago

7 0

Answer:

105

Step-by-step explanation:

3.75 times 28 = 105km

You might be interested in

Domain: {4, 0} range: (-2, 0, 2}

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations using the t statistic

Yuliya22 [10]

Answer:

a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

b) $s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

c) For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

Step-by-step explanation:

Part a

For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

Part b

From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

And the sample variance for this case can be calculated from this formula:

$s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

Part c

For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

8 0

2 years ago

two friends have a conversation mario tells roberto "the money i have is twice that you have" roberto answer "if you give me 6 d

crimeas [40]

Answer:

Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.

Step-by-step explanation:

Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.

M = 2R

M - 6 = R + 6

To isolate M, you need to add 6 on both sides.

M - 6 + 6 = R + 6 + 6

M = R + 12

M = 2R

Substitute M for the value above that we found.

R + 12 = 2R

Now we subtract R on both sides, so that only one side has the variable R.

R - R + 12 = 2R - R

12 = R

M = 2R

Substitute for the value of R.

M = 2 x 12

M = 24

3 0

2 years ago

F is a polynomial of degree 6. f has a root of multiplicity

frutty [35]

Answer:

f(x) = 0.43 * $(x - 3)^{2}$ * $(x-1)^{3}$ *(x + 10)

Step-by-step explanation:

We have a 6th degree polynomial f(x)

r = 3 is a root of f with multiplicity 2

r = 1 is a root of f with multiplicity 3

f(-5) = -29721.6

f(-10) = 0

Then: f(x) = a*((x -3)^2 ) * ((x - 1)^3)*(x + 10)

f(-5) = a * (-8)^2 * (-6)^3 * (5) = -29,721.6

a* (64) * (-216)* 5 = -29,721.6

-a*69,120 = -29,721.6

a = -29,721.6/-69,120

a = 0.43

f(x) = 0.43 * $(x - 3)^{2}$ * $(x-1)^{3}$ *(x + 10)

4 0

2 years ago

You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y

lesya [120]

Answer:

f(x)=.65+y

Step-by-step explanation:

3 0

2 years ago