Answer:
Option C is correct.
Step-by-step explanation:
Given the expression:
Using properties of summation:
Using properties of summation in the given expression we have;
=
=
Therefore, the following given expression uses the properties of summation to represents is,
Answer:
Step-by-step explanation:
61)4 + 5(p-1) = 34 {Distributive property}
4 + 5p - 5 = 34 {Add like terms}
5p - 1 = 34 {Add 1 to both sides}
5p = 34+1
5p = 35 {Divide both sides by 5)
p = 35/5
p = 5
62) Smaller angle = x
Larger angle = x +50
x + (x +50) = 180 {Supplementary angles}
2x + 50 = 180 {Subtract 50 from both sides}
2x = 180 -50
2x = 130
x = 130/2
x = 65
Smaller angle = 65
Larger angle = 65 + 50 = 115
63) ΔBAD , ΔBCD
BA ≅ BC
∠A ≅ ∠C
AD ≅ CD
ΔBAD ≅ΔBCD {S A S congruent}
64) Selling price = ₹ 5500
Profit = 10%
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the dying time of four different types of paint.
One-way ANOVA can be used to determine whether all the four paints have the same drying time.
Use Excel to perform the one-way ANOVA.
Go to Data → Data Analysis → Anova: Single Factor
A dialog box will open.
Select the data.
Select "Grouping" as Columns.
Press OK.
The output is attached below.
The required values are as follows:
(1)
Sum of Squares of Treatment (Between Subjects):
SST = 330
(2)
Sum of Squares of Error (Within Subjects):
SSE = 692
(3)
Mean Squares Treatment (Between Subjects):
MST = 110
(4)
Mean Squares Error (Within Subjects):
MSE = 43.25
