Answer:
B
Step-by-step explanation:
To rationalise the denominator.
Multiply the numerator/denominator by the radical on the denominator.
The radical on the denominator is 
, thus
Multiply the fraction by
→ B
Answer:
The probability that the red card came from the first stack is:
40%
Step-by-step explanation:
a) Data and Calculations:
Stack Red Blue Total
First 6 5 11
Second 9 0 9
Total 15 5 20
The probability of selecting from the first stack = 50% since equal opportunity is given to the two sacks.
The probability of red card from the first stack = 6/15 = 0.4 = 40%.
b) The probability that the red card came from the first stack is given by the number of red cards in the first stack divided by the number or red cards in the two stacks. This is equal to 6/15 = 0.4 or 40%.
Answer:
The variance of the temperatures of the 10 day period must be at least zero.
Step-by-step explanation:
The variance is the expectation of the squared deviation of a random variable from its mean. It measures how far a set of numbers are spread out from their average value.
Its unit of measure corresponding to the square of the unit of measure of the variable. In this case, the variance of the temperatures is expressed in (°C)². The variance has a minimum value of 0.
Since the variance is squared, it will always have values greater than zero.
Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
2 = coefficient
e = variable
- = operation
f = variable
2e = 2 × e
f subtracted from the product of two and e
