Step-by-step explanation:
Probability that Dan chooses a Green card = 0.2
Probability that Esther chooses a Green card = 0.2 (same set of cards = same probability)
Since they are independent events,
total probability = 0.2 * 0.2 = 0.04.
ANSWER
The maximum value is 625
EXPLANATION
The height of the stick that the bird dropped is modeled by the function;

This function is already in the vertex form.
Let me rewrite it clearly for you to see.

When we compare this to;

we have h=0 and k=625.
k=625 is the y-value of the vertex.
This is the maximum value on the graph of this function.
130.
Since angle 1 and 5 equal 100 each angle is 50. Since 1 and 3 are supplementary subtract 180 and 50
Answer:
4 sin (2x - 4).
Step-by-step explanation:
The amplitude of sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.
Our formula is 4 sin (2(x - 2))
= 4 sin (2x - 4).
Answer:
First find the sum of 3/8 and -5/12
That is
3/8 - 5/12
First find the common denominator
The common denominator is 24
We get
3/8 - 5/12 = 3(3) - 5(2) / 24
= 9 - 10 / 24
= - 1 / 24
Next find the product of 16/27 x(-15)/8
That's
16/27 × -15/8
= -10/9
Next reverse -10/9
Which is -9/10
Next we divide it by = -1 /24
so we get
-1/24 ÷ -9/10
Change the sign to (×) and reverse the second fraction
We get
-1/24 × -10/9
= 5 / 108
Hope this helps