Volume is length times width times height so the closet's volume is 3x3x7 which equals 63 cubic feet.
Because 63 is less than 67, she can not fix 67 boxes in her closet.
Answer:
Angle = Ф = 
(0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
Step-by-step explanation:
Given vector r(t) = 
As we know that,
velocity vector = v = 
Implies that
velocity vector = 
As acceleration is velocity over time so:
acceleration vector = a = 
Implies that
vector a =
vector a = 
Now scalar product of position vector r and acceleration vector a:
r. a = 
r.a = 
r.a = 0
Now, for angle between position vector r and acceleration vector a is given by:
cosФ = 
= 
Ф = (0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
I believe x is 43.
3x+17+x-9=180 It is 180 because a straight line is 180 degrees
4x+8=180
-8 -8 subtraction property of equality
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4/4x=172/4 division property of equality
x=43 solution
Answer:
4.924 years
Step-by-step explanation:
Lets denote X the lifetime of a tv tube (In years). X has distribution 
, with 
unknown.
We know that P(X < 4) = 0.2. Using this data, we can find the value of throught standarization.
Lets call 
the standarization of X. Z has distribution N(0,1), and its cummulative function, 
is tabulated. The values of can be found in the attached file.
The value q such that 
doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that 
, hence -q must be equal to 0.84. Thus, q = -0.84
But this value of q should match with the number 
, so we have
Thus, the expected lifetime of TV tubes is 4.924 years.
I hope this works for you!
<h3>
Answer: A) 1/10</h3>
=============================================
Work Shown:
(4/5) divided by 8
(4/5) divided by (8/1)
(4/5) * (1/8) .... flip the second fraction and multiply
(4*1)/(5*8)
(4*1)/(5*4*2)
1/(5*2) ... the '4's cancel
1/10
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Alternative method:
4/5 = 0.8 when using a calculator or long division
(4/5) divided by 8 = 0.8/8 = 0.1
0.1 = 1/10
The digit 1 in 0.1 is in the tenths place, so that's why 0.1 = 1/10
Or you could use your calculator to see that 1/10 = 0.1
Another idea is to do
0.1 = 0.1/1 = 0.1/1.0 = 1.0/10.0 = 1/10
here I moved the decimal point 2 spots to the right for the numerator and denominator.
