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3 years ago

When Claire chooses a piece of fruit from a fruit bowl, there is a 22% chance that it will be a plum, an 18%

Mathematics

1 answer:

kap26 [50]3 years ago

5 0

Answer:

Orange

Step-by-step explanation:

As the chance of choosing orange is 18% which is the least.

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NO LINKS OR ELSE I WILL REPORT. PLS HELP, I WILL GIVE BRAIN THING

vovangra [49]

10 and -12

Step-by-step explanation:

10x-12=-120

it said it needed to be 20 characters long. so this is me making it that

5 0

3 years ago

SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Ann [662]

Answer:

Required series is:

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

Step-by-step explanation:

Given that

$f'(x) = -\frac{1}{1 + x^{2}}$ ---(1)

We know that:

$\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}}$ ---(2)

Comparing (1) and (2)

$f'(x)=-(tan^{-1}x)$ ---- (3)

Using power series expansion for $tan^{-1}x$

$f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx$

$= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]$

$=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}$

$=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

$tan^{-1}(0)=0 \implies C=0$

Hence,

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

7 0

3 years ago

it cost $102.50 to repair a plasma tv. if you pay $15 for new parts and $25 per hour for labour, how much time did it take to re

Nana76 [90]

Subtract the part from the total:

102.50 - 15 = 87.50

Now divide the remainder by rate:

87.50 / 25 = 3.5 hours

7 0

3 years ago

Please help I need help with my hw

olga2289 [7]

Answer:

a) 2.5 pounds of candy

b) 2.5 pounds of candy

$\frac{0.5}{1} :\frac{y}{5}$

y × 1 = 0.5 × 5

y = 2.5

Step-by-step explanation:

1 = 5

1/2 = y or 0.5 = y

$\frac{0.5}{1} :\frac{y}{5}$

y × 1 = 0.5 × 5

y = 2.5

7 0

3 years ago

Find the volume of the sphere. Round your answer to the nearest tenth.

dusya [7]

Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

8 0

2 years ago