Answer:-0.125 or 1/8
Step-by-step explanation: :)
Answer:
b. The supplements of congruent angles are congruent
Explanation:
Note that

is a supplement of

and

is a supplement of

.
Since

,

because
the supplement of the congruent angles are congruent.
Answer:
78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.
Step-by-step explanation:
The surface area will be the sum of the area of each face. so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.
then two trianglular sides with both having a base of 8 and height of 3
then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.
Now we add each face up.
rectangular base = 3x8 = 24
2 triangular sides = 2(.5*8*3) = 24
2 rectangular roof pieces = 2(5*3) = 30
Now add it all up
24+24+30 = 78
Answer:
Step-by-step explanation:
To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).
Answer:
The parameters of this exponential distribution is
=
.
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.
<u><em>So, X = time it takes for a person to choose a birthday gift</em></u>
The probability distribution function of exponential distribution is given by;
where,
= parameter of distribution.
Now, the mean of exponential distribution is =
which is given to us as average value of 27 minutes that means
.
So, X ~ Exp(
) .
Therefore, the parameter of this exponential distribution is
.