Answer:
150 students
Step-by-step explanation:
According to statement we have the following information
number of juniors=n=300
mean score=24
standard deviation score=4
The number of students that score above 24 is determined by
Number of students score above 24=number of juniors* P(student score above 24)
P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.
Students score above 24=np=300*0.5=150
Hence there are 150 students scored above 24.
Answer:
A. It does not matter. The volumes of X and Y are equivalent.
Step-by-step explanation:
Volume of the pyramid = Base area × Height
For rectangular pyramid X:
Given Height of pyramid = 10cm
Base area = Length × Breadth
Base Area = 6cm×5cm = 30cm²
Volume = 10×30
Volume of the pyramid = 300cm²
For pyramid Y:
Given Height = 10cm
Base area = 1/2 base×height
Base area ,= 1/2 × 7.5×8
Base area = 30cm²
Volume of the triangular pyramid = 10×30 = 300cm³
We can see that the volume of X and Y is the same, therefore the type of chocolate Jeremy chose doesn't matter.
Answer:
Length :
12
feet
Width :
10
feet
Explanation:
Let the length of the garden be
x
feet.
Therefore, the breadth or width of the garden is
(
x
−
2
)
feet.
So, According to the problem,
x
(
x
−
2
)
=
120
⇒
x
2
−
2
x
=
120
⇒
x
2
−
2
x
−
120
=
0
[Transposing 120 to the L.H.S]
⇒
x
2
+
10
x
−
12
x
−
120
=
0
[Breaking
−
2
x
as
10
x
−
12
x
]
⇒
x
(
x
+
10
)
−
12
(
x
+
10
)
=
0
[Taking the like terms aside]
⇒
(
x
+
10
)
(
x
−
12
)
=
0
[Completing the factorisation]
We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.
So, Either
x
+
10
=
0
or
x
−
12
=
0
So,
x
=
−
10
or
12
As
x
indicates length,
x
can't be negative.
So,
x
=
12
.
So, The length of the garden is
12
feet and the width of the garden is
(
12
−
2
)
feet =
10
feet.
Step-by-step explanation:
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Answer:
If the two factors are equal (the same), like 4*4=16, then each of them is called a "square root." Note: a cube root is one of three equal factors of a number, for example, 2 is the cube root of 8 (that is, 2*2*2=8).
Step-by-step explanation:
