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3 years ago

What is the average of the following numbers .406 .407 .408 .405 .411 .406

Mathematics

1 answer:

Olin [163]3 years ago

4 0

Answer:

The average is 407.1667

Step-by-step explanation:

406+407+408+405+411+406=2,443

2,443/6=407.1667

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Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digi

Yuliya22 [10]

Answer:

1/4 or 0.25

Step-by-step explanation:

The total possibilities of any 7 digit number using 0-9 is :

9×10×10×10×10×10×10=9000000

To work out the total possibilities in this question :

We look at the conditions :

The first digit can only be 5 numbers :

1 , 3 , 5 , 7 , 9

Now we subtract 5 from 9 :

9-5 = 4

Since no repeats for 2 , 3 , 4, 5, 6:

9 , 8 , 7 , 6 , 5,

5 possibilities for the last digit :

Total possibilities for this code :

4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400

If it begins with 5 that is only 1 possibility for the first digit

1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600

Now we make a fraction :

75600÷302400

Dividing top and bottom by 75600 gives you 1/4 or 0.25

Hope this helped and have a good day

7 0

2 years ago

Read 2 more answers

This is due soon help

cricket20 [7]

50 miles = 1 hour
50 x 1 = 50

a. 50 miles x 2 hours = 100 miles
b. 50 miles x 4.3 hours = 215 miles
c. Converting minutes to hours, it would make 20 minutes become 0.333 hours.
50 x 0.333 = 16.65 miles

6 0

3 years ago

Which graph represents an exponential function?

Brut [27]

The first one. It is called an exponential decay curve.

3 0

2 years ago

Is the figure an example of parallel lines?

evablogger [386]

Parallel lines are a pair of lines that do not intersect

Therefore this is not an example of parallel lines because the lines intersect

The answer is C

5 0

2 years ago

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A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua

frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a) $y = a+bx$

$b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} = \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300$

$a=y-bx = 47200-(15300 \times 29) = 2830$

So, slope = 15300

Intercept = 2830

So, equation : $y = 2830+15300x$

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

$y = 2830+15300 \times 3.3 = 53320$

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = $r^2 = (0.72)^2 =0.5184$

8 0

2 years ago