A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the schoo. The order of selection does not matter.

As we know

6 teacheras can be selected out of 30 teacher in ${30}_C_6$ ways.

${30}_C_6=\frac{30!}{6!24!}\\
\\ {30}_C_6=\frac{25*26*27*28*29*30}{1*2*3*4*5*6}\\
\\ {30}_C_6=593775$

Hence the required number of ways is 593775.

7 0

2 years ago

Find the area of the shaded region.

Ghella [55]

This is a rhombus and in any rhombus, the diagonals intersects in the middle and they are perpendicular:
So all 4 triangles are right triangles and the sides are the hypotenuses.
1st) Calculate the sides: hypotenuse² = 3² + 4² = 25, and hypotenuse = 5

The area of each right triangle is (4 x 3)/2 = 6 units²
And the area of the 4 right triangles = 4 x 6 = 24 init²

4 0

3 years ago

The cargo carrying part of Billy‘s truck has a length of 8.3 m a width of 3 m and a height of 4.2 m. What is the maximum volume

madam [21]

You're really just finding the volume of the cargo-carry part.

V= L x W x H

V= 8.3m x 3m x 4.2m

V= 104.58 m3 or 105 m3 (rounded)

ANSWER: The maximum volume of sand Billy's truck can carry is about 105 m3.

8 0

2 years ago