A machine called Feynman, produces output, that is 5 times its input followed by an increase of 2. Another machine called Maxwel

Given there are 22 participants total, the possible pairs chosen for the initial practice session are calculated as
22C2 = 231
. The probability of selecting one individual from each gender can be determined using the following calculation:
(10C1)x(12C1) / 231 = 40/77
. Approximately 52% represents the probability in percentage form, so the correct answer is the first option. 

Answer:

That's a lot of views, dude.

Sari's claim is incorrect because dividing 120.78 by 9.9 equals approximately 12.2, and since 12 is less than 12.2, her estimate is not actually greater than the true result.

Answer:

The height of the triangular pyramid base is represented by s√3/2 units.

Step-by-step explanation:

This question focuses on calculating the height of the equilateral triangle at the base of the oblique pyramid.

According to the question, the equilateral triangle side has a length of a units.

Let’s review some properties of equilateral triangles:

a. All sides are identical in length, in this case, side s represents all sides.

b. All angles measure the same, at 60 degrees each.

c. Drawing a perpendicular line from the top vertex to the base divides the triangle into two right triangles, which have angles of 60 and 30 degrees, respectively.

To find the height of this triangular base, we can utilize either of the two right-angled triangles.

Recall the angles of 30, 60 and the side length s.

For height h calculation, trigonometric functions will assist us.

The relevant trigonometric relationship involves the sine of the angle (where side length s is the hypotenuse and height h is the opposite side relative to the 60-degree angle).

Thus, we can express this as:

Sine of an angle = opposite side length/hypotenuse length

sin 60 = h/s

Consequently, h = s sin 60.

In surd form, this yields:

sin 60 = √3/2.

Therefore, we find:

h = s * √3/2 = s√3/2 units.

Answer: 0.12

Step-by-step explanation:

There are a total of 65 candy bars. Within this amount;

2 candy bars contain 300 to 350 calories

1 candy bar contains 350 to 400 calories

4 candy bars contain 400 to 450 calories

1 candy bar contains 450 to 500 calories

Thus, the overall ratio of candy bars with more than 300 calories is;

= (2 + 1 + 4 + 1) / 65

= 8/65

= 0.12