1/3 of 81 = 81 • 1/3 = 81/3 = 27
A translation of 
units upwards and 
units to the right is represented by the transformation
So, to translate 5 right and 7 down, we need
Now we just need to plug x=x-5 and y=y+7 in our equation (remember f(x)=y):
The answer is
<span>
<u><em>The correct answer is: </em></u>1000.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We divide to find the answer to this: </span></span>
<span><span>. When we are dividing by 10, we can move the decimal to the left one place; doing this gives us 1000.</span></span>
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
Answer:
22 1/10
Step-by-step explanation:
11 1/2 = 11 5/10
10 3/5 = 10 6/10
11 5/10 + 10 6/10 = 21 11/10 = 22 1/10
Hope this helps! :3
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