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:
The ratio of apartments to bathrooms in the building is 8 : 11
Step-by-step explanation:
We are given with,
Number of Apartments in the building = 48
Number of bathrooms in the building = 66
We have to find the ratio of number of apartments to the number of bathrooms.
Thus, Ratio is 8 : 11
Therefore, The ratio of apartments to bathrooms in the building is 8 : 11
Answer:
Possibility that the students selected are both girls = 31.25%
Step-by-step explanation:
It is given that
A science class have 5 girls and 3 boys in 7th grade
And 2 girls and 2 boys in the 8th grade
In 7th grade total students = 8
In 8th grade total students = 4
Total possibilities = 8 x 4 = 32
The teacher randomly selects a 7th grade and an 8th grade
The number ways a girl selected from 7th grade = 5c1 = 5
The number ways a girl selected from 8th grade = 2c1 = 2
Total possibilities = 5 x 2 = 10
Probability that the students selected are both girls =10 /32 = 31.25%
Answer:
Reflection over y-axis.
Step-by-step explanation:
The transformation being described is a reflection across the y-axis since we would have to flip the signs of the x-values to transform the function. See pictures below.
Hope this helps.
Answer: A compound event is an event that has more than one possible outcomes.
Example: Outcome of rolling a 6 since the dice is 6 sided. 1/6 is the probability .
