Answer:
Kerri
calculate z scores z= (x - xbar)/stdev
Kerri = 1.7
Cade = .7
Vincent = 1
Step-by-step explanation:
Answer:
15
measure of third side is = 25^2 - 20^2
= 625 - 400
= 225
= √225
= 15
hope it helps
Answer: There is one solution to the given equation.
Step-by-step explanation: We are given to find the number of solutions to the following equation :
Since the given equation is linear in one variable x, so it will have only one solution.
The solution of equation (i) is given by
Thus, there is one solution to the given equation.
<u>Answer:</u>
1.95 cubic feet
<u>Step-by-step explanation:</u>
We are given that Emily stores her jewelry in a cube and the cube has a side length of 
feet.
feet in an decimal form is 1.25 feet.
We know that,
<em>volume of a cube = s
</em>
where <em>s</em> is the side length of the cube.
So substituting this value of side length of cube in the formula to get:
Volume of cube = 
= 1.95 feet
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
