Answer:
8
Step-by-step explanation:
Two different approaches:
<u>Method 1</u>
Apply radical rule √(ab) = √a√b to simplify the radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, (√98 - √50)² = (7√2 - 5√2)²
= (2√2)²
= 4 x 2
= 8
<u>Method 2</u>
Use the perfect square formula: (a - b)² = a² - 2ab + b²
where a = √98 and b = √50
So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²
= 98 - 2√98√50 + 50
= 148 - 2√98√50
Apply radical rule √(ab) = √a√b to simplify radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)
= 148 - 140
= 8
Answer:
24 ft
Step-by-step explanation:
Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.
So, 10/15 = 16/___. Cross multiple and you get 24ft!
Answer:
a) only extreme values are used in its calculation.
Step-by-step explanation:
In a data set, the range is given by the subtraction of it's highest value by it's lowest value.
The disadvantage is that it gives a high weight to extreme values, not focusing on central values. So the correct answer is given by option a
Answer:
<em>Bethany did not do better than Richie because her average score was less than his.</em>
Step-by-step explanation:
<u>Average Value</u>
The average or mean value of m successes out of n tries is given by:
During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:
Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:
Bethany did not do better than Richie because her average score was less than his.
