All categories

2 years ago

How to write 20, 484, 163 and expanded form

1 answer:

7 0

20,484,163 in expanded form

2 ten million and 0 one million and 4 hundred thousand and 8 ten thousand and 4 one thousand and 1 hundreds and 6 tens and 3 ones.

or

2 x 10,000,000 + 0 x 1,000,000 + 4 x 100,000 + 8 x 10,000 + 4 x 1,000 + 1 x 100 + 6 x 10 + 3 x 1

You might be interested in

A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

Coefficient Standard Error

Intercept 25675.5 11393

x 5321 2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of β you can calculate the two tailed t test using the formula:

$t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } }$ ~ $t_{n-2}$

$t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } }$ = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated $t_{H_0}$ under the distribution $t_{98}$

p-value < 0.00001

I hope it helps!

3 0

2 years ago

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and

solmaris [256]

Answer: 8

Step-by-step explanation: Speed is distance/time

18/3 = 6 miles per hour running

18/2 = 9 miles per hour biking

3 hour bike = 27 miles

1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles

27 + 9/3 + 1.50 = 36/4.5 or 8

4 0

2 years ago

Trains A and B, 200 km apart on the same straight track, travel at speeds of 50 km/hr and 65 km/hr respectively. At the end of 1

Gwar [14]

Answer:

Ok, at the beginning the distance between the trains is 200km:

IPa(0s) - P(0s)I = 200km.

where Pa is the position of train A, and Pb is the position of train B.

Now, the speed of train A is:

Sa = 50km/h

Sb = 65km/h

Now, remember the relation:

Distance = Speed*time.

So, in one hour, the displacement of train A is:

Distance = 50km/h*1h = 50km

The displacement of train B is:

distance = 65km/h*1h = 65km.

Now, if at the beginning train A is 200km ahead of train B, then we have:

Pa - Pb = (Pa(0s) + 50km) - (Pb(0s) + 65km)

= (Pa(0s) - Pb(0s)) + (50km - 65km) = 200km - 15km = 185km.

Now, if train B was 200km ahead of train A, we have:

Pb - Pa = (Pb(0s) + 65km) - (Pa(0s) - 50km) =

(Pb(0s) - Pa(0s)) + (65km - 50km) = 200km + 15km = 215km

4 0

2 years ago

Alicia has 6 paintings she wants to hang side by side on her wall.

gayaneshka [121]

<u>Answer:</u>

A) 720 ways

B) 15 ways

C) 6 ways

<u>Step-by-step explanation:</u>

A) To find the number of ways Alicia can arranger her 6 paintings, we will find factorial of 6 by multiplying all of the positive integers equal to or less than that number i.e. 6 to get:

6! = 6 * 5 * 4 * 3 * 2 * 1 = 720

Alicia can arrange her paintings in 720 ways.

B) We use the following formula (when order is not important) to find the number of permutations of n objects taken r at a time:

$P(n, r) = \frac{n!}{r!(n-r)!}$