Answer:
a = 84°
b = 36°
c = 24°
d = 84°
e = 132°
Step-by-step explanation:
The parameters of the workers in the office are;
The number of staffs in the office = 60 staffs
The take-aways are pizza, curry, fish & chips, kebab and other
The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively
The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively
In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;
∠a = 360° × 14/60 = 84°
∠b = 360° × 6/60 = 36°
∠c = 360° × 4/60 = 24°
∠d = 360° × 14/60 = 84°
∠e = 360° × 22/60 = 132°
Answer:
-51
Step-by-step explanation:
-85
+211
-147
+75
-105
=-51
Need to know what the options are
Answer:
(a) 7 + 3( n - 1 )
(b) 1006
Step-by-step explanation:
ARITHMETIC SEQUENCE.
The number of term of an Arithmetic progression has the formular :
nth term = a + ( n - 1 ) d
a = 7
d = 10 - 7 = 3
nth term = 7 + ( n - 1 ) 3
= 7 + 3n - 3
= 7 + 3( n - 1 )
Therefore,
the nth term of the sequence
= 7 + 3( n - 1 )
(b) For the 1000th term
= 7 + 3 ( 1000-1 )
= 7 + ( 999 )
7 + 999 = 1006
Therefore,
the 1000th term = 1006
Answer: E. 1200
Step-by-step explanation:
Given : A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts.
i.e. No. of choices for different salads= 8 -----(1)
No. of choices for different main courses = 5 ----(2)
No. of choices for different desserts = 6
When we choose two different desserts then we use permutation(repeatition not allowed) :
----(3)
[∵ No. of ways to choose r things out of n =
]
If customers choose one salad, one main course and two different desserts for their meal , then By Fundamental principle of counting (Multiply (1) , (2) and (3)), the number of different meals are possible :-
Hence, the correct answer is E. 1200 .
