Answer:
1. Q1=7 Q3=12 IQR=5
2. Q1=8 Q3=33 IQR=25
3. Q1=4.5 Q3=10 IQR=5.5
Step-by-step explanation:
hope this helps have a good day or night
I don't think that you put parentheses around any numbers because when I solve it with parentheses between numbers I get other numbers like 16 or 17
Answer:
and f as shown below.
Use these lengths to find cosx, sinx, and tanx.
Step-by-step explanation:
According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.
<h3>How to approximate the value of a irrational number by binomial theorem</h3>
Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:
(1)
Where:
- a, b - Constants of the binomial.
- n - Grade of the power binomial.
- k - Index of the k-th element of the power binomial.
If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:
√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
To learn more on binomial expansions: brainly.com/question/12249986
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First, we can subtract the discount from the original price. Divide the discount (42%) over 100.
42/100 = 0.42
Next, we need to multiply. It's basically asking what 42% of 20 is.
0.42 × $20 = $8.40
Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.
$20 - $8.40 = $11.60
You will pay $11.60 for the CD without taxes.
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Now to add the taxes.... To do this, do the same first step we did when finding the discount price.
6/100 = 0.06
Multiply. Like I said, you can think of it as, '6% of 11.60'.
0.06 × 11.60 = $0.70
Last step is to ADD. Since taxes add more money onto the current price, we will have to add.
$11.60 + $0.70 = $12.30
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The total price of the CD will be: $12.30.