Answer:
(2b - 5) + b + (b + 80) = 983
Step-by-step explanation:
Given that,
Total score of three teams = 983
Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.
So,
The scores of Team A = (2 * b) - 5
The scores of Team B = b
The scores of Team C = (b + 80)
Thus,
The equation for determining the total points of Team B would be:
(2b - 5) + b + (b + 80) = 983
On solving,
(2b - 5) + b + (b + 80) = 983
⇒ 2b + b + b = 983 + 5 - 80
⇒ 4b = 908
⇒ b = 908 ÷ 4
⇒ b = 227
Team B's score = 227
Team A's score = (2 * 227 - 5)
= 449
Team C's score = 227 + 80
= 307
Total ⇒ 449 + 227 + 307 = 983
Hence proved.
Answer:
Step-by-step explanation:
It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive
<u>The minimum/maximum value of a quadratic function is the vertex, which is at:</u>
<u>For the given function y = x² -10x + 31, the vertex is:</u>
- x = - (-10)/2*1 = 10/2 = 5
<u>The value of y at this point is:</u>
- y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6
<u>The point is </u>
Answer:
difference in the proportion = 0.0452
Step-by-step explanation:
x1 = 27, n1 = 193,
p1 = 27/193
p1 = 0.1399
x2 = 16, n2 = 169,
p2 = 16/169
p2 = 0.0947
a) The best estimate for the difference in the proportion of smokers, using male proportion minus female proportion is 0.0452. Male smokes more than females in given sample.
p1 - p2 = 0.1399 - 0.0947
p1 - p2 = 0.0452
Total number of marbles=5+3+4=12
Probability of picking a red marble =5/12
A farmer has 15 boxes of eggs and there are 6 eggs in each box. Therefore it will be part to whole. The bigger number is always the whole. 6:15 is the ratio.
