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3 years ago

How many ways can 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball?

Mathematics

1 answer:

taurus [48]3 years ago

6 0

40. the number of bins x the number of balls = 40 combinations

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A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container?

sergey [27]

If there's 21 spoons and 27 forks than there are 48 utensils, and the ratio of spoon to total stilis is 21/48, and if you reduce that it is 7/16. So your answer is B. 7/16.<span />

4 0

3 years ago

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

Nonamiya [84]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph

erastova [34]

The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.

6 0

3 years ago

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

3 years ago

What number plus 2 less than 3 times the number equals 14

Afina-wow [57]

Obviously this will be a negative number

-2 - 14 = 5x - 3x

-16 = 2x

x = %28-16%29%2F2

x = -8 is the number

Check solution in the original statement: x=-8

3(-8) - 2 = 5(-8) + 14

-24 - 2 = -40 + 14

-26 = -26

7 0

3 years ago