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3 years ago

I need this answer as a mixed number

Mathematics

2 answers:

Leya [2.2K]3 years ago

8 0

Answer: 1 2/3

Step-by-step explanation:

gavmur [86]3 years ago

5 0

1 and 2/3 would be the answer

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Find the mean and median of these data: 2, 5, 9, 11, 17, 19.

Harrizon [31]

<span>data: 2, 5, 9, 11, 17, 19
</span>
median is the middle number
median = (9+11)/2 = 10

mean = average
mean = (2 + 5 + 9 + 11+ 17 + 19)/6
mean = 63/6
mean = 10.5

6 0

3 years ago

What is the interquartile range of the data shown in the box plot? Please answer fast

cupoosta [38]

(First one)Low - 18
Q1 - 20
Median - 25
Q3 - 30
(Last one) High - 34

5 0

3 years ago

find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou

Neko [114]

Answer:

$v = \frac{32\pi}{3}$

$v=33.52$

Step-by-step explanation:

Given

$f(x) = 4x - x^2$

$g(x) = x^2$

$[a,b] = [0,2]$

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

$\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx$

Integrate

$v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx$

$v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx$

Substitute values for a, b, f(x) and g(x)

$v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx$

Evaluate the exponents

$v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx$

Simplify like terms

$v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx$

Factor out 8

$v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx$

Integrate

$v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0$

$v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0$

Substitute 2 and 0 for x, respectively

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])$

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])$

$v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]$

$v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]$

Take LCM

$v = 8\pi [ \frac{16*4- 16 * 3}{12}]$

$v = 8\pi [ \frac{64- 48}{12}]$

$v = 8\pi * \frac{16}{12}$

Simplify

$v = 8\pi * \frac{4}{3}$

$v = \frac{32\pi}{3}$

$v=\frac{32}{3} * \frac{22}{7}$

$v=\frac{32*22}{3*7}$

$v=\frac{704}{21}$

$v=33.52$

8 0

3 years ago

Jacinta, an internet website designer, works a 38 hour week and earns $3115.35 every fortnight. Calculate her earnings:

sveticcg [70]

Step-by-step explanation:

total working duration = 2 weeks

Working duration in hours = 38× 2= 76 hours

a) per year

24*3115.35 = $74768

b) 3115.35/2

$1557.675

3115.35/76

$40.99

6 0

3 years ago

Read 2 more answers

The product of 7 and x is less than or equal to -21

Mars2501 [29]

Answer:

x needs to be smaller or equal to -3

Step-by-step explanation:

-3x7 = -21

you get there by dividing -21 by 7

example smaller number: -4x7 = -28

4 0

3 years ago

Read 2 more answers