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3 years ago

What is the median 5,7,9,10,16,17,20

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

Answer:

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

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Mrs. Miller has only $42.50 to spend at walmart. She buys a shirt that costs $29, including tax. She wants to buy some bracelets

pshichka [43]

Answer: 2

Step-by-step explanation: 42.50 is the max she can spend there’s .08 cent per dollar. $29 dollars for the shirt plus tax it’ll be 31.32 now Mrs.Miller is left with 11.18 out of her 42.50. Divide 11.18 by 4.50 because that’s the cost of each bracelet. 4.50 multiplied by 2 equals 9 plus tax it’ll be 9.72. 11.18 she had left minuse the 9.72 she’s left with 1.46

8 0

3 years ago

Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that

Bond [772]

Taylor series is $f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }$

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

$f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }$

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

$f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }$

Following the pattern, we can see that for $f^{n}(x)$ ,

$f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} } \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}$

This applies for n ≥ 1, Expressing f(x) in summation, we have

$\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}$

Combining ln2 with the rest of series, we have

$f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }$

Taylor series is $f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }$

Find out more information about taylor series here

brainly.com/question/13057266

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3 0

2 years ago

The height of a baseball in feet x seconds after a batter hits it can be represented by the function f(x)=−2x2+10. How many feet

s344n2d4d5 [400]

Answer:

So, at 2 seconds the baseball reaches its maximum height and its maximum height is 69 feets.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Fully Factor 3x^2 – 16x + 20

ryzh [129]

Answer:

C. (3x2 - 10) (x - 2)

Step-by-step explanation:

3x^2 - 16x +20

Step 1: Sum = - 16x

Product = 60x^2

Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6

Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20

Step 4: Factorise the equation in step 3, like so;

(3x^2 - 6x)(- 10x + 20)

3x(x - 2) -10(x - 2)

(3x - 10)(x - 2)

To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)

If the bracket is opened properly, you will get 3x^2 - 16x + 20

4 0

3 years ago

Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volum

nalin [4]

By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:
$V=pi*h*r^2/3$
Lets solve this relation for the radius:
$3V=pi*h*r^2
$
$\frac{3V}{pi*h} =r^2$
$\sqrt{\frac{3V}{pi*h}} = r$
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185* $\sqrt{V}$

5 0

4 years ago