Answer:
Step-by-step explanation:
Represent the diagonals as:
Required
Determine the coordinate of the intersection
To do this, we simply calculate the midpoint of AC or BD.
For AC:
The midpoint is:
This gives:
For BD:
The midpoint is:
This gives:
Notice the midpoints are the same:
<em>Hence, the coordinates of the intersection is (2,1)</em>
A random variable can be either discrete or continuous. It is discrete it can assume only a finite number of values, or a countable infinity of values at most.
It is continuous if it can assume values in an interval, or in general, an uncountable infinity of values.
That being said, we have:
Option A is a discrete random variable, because the number of heads in 5 throws can be 0, 1, 2, 3, 4 or 5. So, we have finitely many possible values.
Option B is a discrete random variable, because the number you roll on a die is either1, 2, 3, 4, 5 or 6. So, we have finitely many possible values.
Option C is a discrete random variable, because if there are n students in a class, the number of boys is an integer between 0 and n. So, we have finitely many possible values.
Option D is finally a continuous random variable, because the height of a 10-year-old can be any number (in a suitable range of course).
Answer: 2. To avoid bias
Explanation:
The random sampling can be defined as the method of selecting the samples from the population of interest randomly. The main advantage of this method is to select the samples from the target population and eliminating the bias in sampling. The random sampling is least choice of sampling for research purpose as the researcher wants to choose only selected desired samples for the study.
Answer:
<h2>11.25min</h2>
Step-by-step explanation:
In this problem, we first need to find the rate at which syn burns calories per minute
so in 15mins, he burns 200 calories
in 1 mins he will burn x
x= 200/15
x=13.33 calories per min this is the rate
So in one minute he will burn 13.33 calories
Now using the idea of rate=quantity/time
the rate=13.33
quantity=15 calories
time=?
time=quantity/rate
time=150/13.33
time=11.25min
Alternatively
(very fast approach)
if syn spend 15min to burn 200 cal
then he will spend x min to burn 150 cal
cross multiply
x=(150*15)/200
x=2250/200
x=11.25mins
<h3>Option A</h3><h3>3x - y = -5 is the equation of the line with a slope 3 and y intercept 5</h3>
<em><u>Solution:</u></em>
<em><u>The slope intercept form of equation is given as:</u></em>
y = mx + c ------ eqn 1
Where,
m is the slope of line
c is the y intercept
From given,
slope = m = 3
y intercept = c = 5
<em><u>Substitute m = 3 and c = 5 in eqn 1</u></em>
y = 3x + 5
3x - y = -5
Thus the equation of line is found
