Answer:
a) 0.0801
b) 0.1910
Step-by-step explanation:
a) probability of the event that numbers start with the digit 1 =P(1.5<X<2) =(2-1.5)/(4.8-1.5)=0.1515
Here mean =np =500*0.1515 =75.76
std deviation =(np(1-p))1/2 =8.02)
probability of the event that less than 65 of the numbers start with the digit 1=P(X<65)=P(Z<(64.5-75.76)/8.02)
=P(Z<-1.4041)=0.0801
b) probability of the event of the numbers start with the digit 3 =P(3<X<4) =(4-3)/(4.8-1.5)=0.3030
Here mean =np =500*0.3030 =151.52
std deviation =(np(1-p))1/2 =10.28
probability of the event that more than 160 of the numbers start with the digit 3=P(X>160)
=1-P(Z<(160.5-151.52)/10.28)=1-P(Z<0.8743)=1-0.8090 =0.1910
The line of best fit helps you make predictions based upon ordered pairs that you have plotted. The independent variable is on the x axis. The dependent variable is on the y axis. You find the slope by plugging in the order pairs into a calculator which gives you the line of best fit.
Hope this helped :)
The coordinates of point F are 4 and negative 2.5. Option C is correct.
<h3>What is the best way to understand the Cartesian coordinate plane?</h3>
A Cartesian coordinate plane is a two-dimensional plane with infinite dimensions. On an endless 2d plane, any two-dimensional figure may be drawn. A location is assigned to each point on a Cartesian plane.
It is the perpendicular distance between that point and the horizontal and vertical axes, which are commonly referred to as the x-axis and y-axis.
The location is then written as (a,b), where 'a' is the point's shortest distance from the y-axis, 'b' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x-axis.
'c' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x.
The coordinates of point F are 4 and negative 2.5.
Hence, the Option C is correct.
To learn more about the Cartesian plane refer;
brainly.com/question/27538987
#SPJ1
Answer:

Step-by-step explanation:

Expand the brackets.

Multiply.
