First we think of a 3 digit dividend for example 100.
Next we think of a divisor between 10 and 29 for example 20.
We divide 100÷20=5
Here's a division problem:
Sophia has 100 pencils. She has 20 boxes with the same number of pencils in them. How many pencils does Sophia put her box?
Divide 100 by 20 which equals 5
Your answer is 5
Answer:
D
Step-by-step explanation:
Converting percent to decimal : 2.2/100 = 0.022
Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)
Finding how much it was worth after 11 years :
(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150
Now add the product to the regular amount to find out the answer:
75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)
Answer:
Sample mean weight = 808080 grams
Step-by-step explanation:
The number of samples, n = 161616
The mean weight, 
Standard deviation, 
The sample mean weight, 
= Mean weight, 
Since 
Sample mean weight, 
Answer:
15 green pieces.
Step-by-step explanation:
8x = 24
x = 3.
So you need 3 times the amount of green pieces for every yellow piece.
3 * 5 green pieces = 15 green pieces
Answer:
x₂ = 7.9156
Step-by-step explanation:
Given the function ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)
If f(x) = ln(x)+x-10
f'(x) = 1/x + 1
f(9) = ln9+9-10
f(9) = ln9- 1
f(9) = 2.1972 - 1
f(9) = 1.1972
f'(9) = 1/9 + 1
f'(9) = 10/9
f'(9) = 1.1111
x₁ = x₀ - f(x₀)/f'(x₀)
x₁ = 9 - 1.1972/1.1111
x₁ = 9 - 1.0775
x₁ = 7.9225
x₂ = x₁ - f(x₁)/f'(x₁)
x₂ = 7.9225 - f(7.9225)/f'(7.9225)
f(7.9225) = ln7.9225 + 7.9225 -10
f(7.9225) = 2.0697 + 7.9225 -10
f(7.9225) = 0.0078
f'(7.9225) = 1/7.9225 + 1
f'(7.9225) = 0.1262+1
f'(7.9225) = 1.1262
x₂ = 7.9225 - 0.0078/1.1262
x₂ = 7.9225 - 0.006926
x₂ = 7.9156
<em>Hence the approximate value of x₂ is 7.9156</em>
