Observe the following pattern for obtaining the sums then find the sum of numbers from 781 to 790?1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 [11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155][21 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 30 = 255]-------------------------------------[51 + 52 + 53 + 54 + 55 + 56 + 57 + 58 + 59 + 60 = 555]-------------------------------------[101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 = 1055][251 + 252 + 253 + 254 + 255 + 256 + 257 + 258 + 259 + 260 = 2555]A. 7055B. 7855C. 7955D. 8155

How do you use pascal’s triangle to expand (2x - 3y)³?

Types of commission are:

• Straight commission.
• Salary plus commission.
• Graduated commission.
• All of the above.

Two coins are tossed simultaneously 50 times with the following frequencies of different outcomes:

• Outcomes: 2 heads, 1 head, No heads
• Frequency: 13, 26, 11

Find the probability of each outcome. Show that the sum of the probabilities is equal to 1.

Two circles touch each other internally. The sum of their area is 130π cm² and the distance between their centers is 8 cm. Find the radii of the two circles.

Twenty seven solid iron spheres, each of radius r and surface area S, are melted to form a sphere with surface area S'. Find the

• (a) Radius r' of the new sphere
• (b) Ratio of S and S'