Answer: 0.8461
Step-by-step explanation:
Given :
Let x be the random variable that represents the cost for the hospital emergency room visit.
We assume that cost for the hospital emergency room visit is normally distributed .
z-score for x=1000 ,
Using z-value table , we have
P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642
=0.8461358≈0.8461 [Rounded nearest 4 decimal places]
Hence, the probability that the cost will be more than $1000 = 0.8461
The equation of the straight line is given by 5y-x=6
An equation can be used to describe a straight line drawn on the Cartesian Plane. These equations have a generic structure and can change based on the slope and where the line intersects the axes.
We will greatly simplify this issue by utilizing the fact that this triangle is specified as a right triangle. We would have had to establish the presence of a right angle if it had been presented as a general triangle.
The segment QR is the hypotenuse of the triangle.
Any side's altitude is located along a line that is perpendicular to that side. We are aware that the slopes of perpendicular lines are negative reciprocals, or:
Slope of line joining Q(3, 5) and R(5, -5)
m=
Hence slope is= -10/2= -5
Now we know that for two perpendicular line the slope of one line is the negative reciprocal of the other.
Slope of line perpendicular to QR=1/5
This line passes through P(-1,1)
Equation of the straight line that passes through (1,-1) and with a slope of 1/5 is given by:
Substituting the values we get:
y-1=1/5(x+1)
or,5y-5=x+1
or,5y-x=6
Hence the equation of the required line is : 5y-x=6
To learn more about straight lines visit:
#SPJ4
Answer:
a) P(X≥143)=0
b) This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Step-by-step explanation:
If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):
Then, we can calculate the probability of X being equal or more than 143 using the z-score:
This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
