This set notation really seems the hard way to exclude a single value. Anyway...
The domain doesn't include where the denominator is zero, 4x + 7 = 0,
x = -7/4
The range doesn't include the asymptotic value, which is
y=2x/4x = 1/2
So we need domain x ≠ -7/4 and range y ≠ 1/2
Answer: First choice
Shaded area = Circle area - Rectangle area
Shaded area = 3.14 × (4)^2 - 5 × 6
Shaded area = 3.14 × 16 - 30
Shaded area = 50.24 - 30
Shaded area = 20.24
Shaded area = 20.2
Step-by-step explanation:
answer is -11 after you simplifying
Answer:
Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation:
Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
Answer:
0.4437
Step-by-step explanation:
First we will define independent events.
Two events are said to be independent when the occurrence of one event doesn't affect the probability of occurrence of second event.
Given
P(Q)=0.87
and
P(R)=0.51
The probability of independent events is given as:
P(Q∩R)=P(Q)*P(R)
=0.87*0.51
=0.4437
So the probability of Q and R is 0.4437 ..
