The graphs of the quadratic function y= 2x^2and the exponential function y= 2^x are shown below.

Mathematics

1 answer:

11111nata11111 [884]3 years ago

7 0

Answer:

Step-by-step explanation:

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A box contains 14 nickels, 15 dimes and 6 pennies. if a coin is picked at random from the box, what is the average value of the

Sidana [21]

Answer:

$0.0646 is the expected value of the draw.

Step-by-step explanation:

1 nickel = 5 cents

1 dime = 10 cents

1 penny = 1 cent

Total number of coins = $14+15+6=35$

Probability that a nickel is selected is = 14/35

Probability that a dime is selected is = 15/35

Probability that a penny is selected is = 6/35

So, the expected value of the draw will be =

$\frac{14}{35}*5+\frac{15}{35}*10+\frac{6}{35}*1$

$\frac{70}{35}+\frac{150}{35}+\frac{6}{35}=\frac{226}{35}$

= 6.457 cents ≈6.46 cents

So, in dollars it is = $\frac{6.46}{100}$ = $0.0646

So, $0.0646 is the expected value of the draw.

5 0

4 years ago

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (1,3) H (4,3) J (5,1) and K (2,1

Basile [38]

Answer: (3,2)

Step-by-step explanation: Diagonal is a line connecting two opposite points of a form. In parallelograms, there two diagonals and they bisect each other, i.e., the point where the diagonals meet divide them into two segments with the same measure. In short, diagonals meet at their midpoint.

The way to determine midpoint is given by

(x,y) = ${\frac{x_{1}+x_{2}}{2} },\frac{y_{1}+y_{2}}{2}$