Two vectors beginning at the same vertex of a triangle are 〈2,3〉 and 〈-3,2〉. Choose the correct classification of the triangle.
1 answer:
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Answer:
Probability is 0.97725
Step-by-step explanation:
Given: Mean volume =12.1 ounces ,standard deviation=0.05
and 10 volumes are selected i.e no of observation or samples.
To find : calculate probability for fluid less than the 12 ounces.i.e P(X<12) with normal distribution probability .
Solution:
Given that data is independent normal random variables , which depends upon mean ,variance and the Standard Z-score .
Hence we have ,
Mean=12.1
Variance =square of (standard deviation).
Normal distribution is given by ,
N(mean,variance)
As there are 10 cans with mean 12.1 and variance=(0.05)^2=0.025.
Normal distribution probability is given by sum of independent normal random variables.
Using the notation as P(X-Y>0)
I.e. P(X>Y)
finding the probability of X greater than Y i.e.(12.1>12) ounces .
with same standard deviation we get,
X-Y ⇒N(12.1-12,0.0025)⇒N(0.1,0.0025).
=P(X-Y)
=P(X-Y>0)
=P(Z>)
=P(Z>-2)
=P(Z<2).
=0.97725.
Using the Z- table refer the normal probability Z-table.
Answer:
Part 1) The rate of change is
Part 2) The initial value is
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to
we have the points
(3,13) and (6,14)
substitute the values in the formula
therefore
The rate of change is
step 2
Find the initial value
we have
substitute in the equation
solve for b
---> initial value
The linear equation is equal to
The y-intercept or initial value is 12