Answer:
128 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) h
where b1 and b2 are the lengths of the bases and h is the height
A =1/2( 10+22) * 8
A = 1/2 (32)8
= 128
Answer:
1.5 is not a prime number
Step-by-step explanation:
Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

The formula to compute covariance is:

The formula to compute the variances are:

Consider the table attached below.
Compute the covariance as follows:


Thus, the covariance is 75.
Compute the variance of X and Y as follows:

Compute the correlation coefficient as follows:



Thus, the Pearson's coefficient of correlation between the is 0.700.
no it is not one x cannot have 2 y's.
Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:

Where
is the final population
is the initial population
is the growth factor
is the time taken for the growth 'b'
is the amount of time
Here, we are given that:
= 6. 9 grams
= 110.4 grams

min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to
.
Putting the values in the formula, we get:

Therefore, the answer is:
<em>4 half lives </em>have passed.
b.) Total time of decay. We have to find the value of
here.
From answer of part a.):
