Steps:
1. Input the data in Excel
2. Find maximum and minimum values (2 and 87 respectively)
3. Calculate the range, that is,
Range = (maximum -minimum)/Number of intervals. For 10 intervals;
Range = (87-2)/10 = 8.5
4. Generate the Bin. That is,
From minimum and adding range until the maximum value.
Using Histogram tool in Excel, the histogram was generated as shown in the figures attached.
Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.
withdraw means subtract, deposit means add
152 withdraws 20 deposits 84
152 -20 + 84
152 - 20 + 84 = 132 + 84 = 216
Now she has $216 in the bank
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
True
Area of a circle = πr^2
So if r = 10: area = π*10^2
= 100π
Surface area of a sphere = 4πr^2
If r = 5: surface area = 4π*5^2
= 4π*25
= 100π