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2 years ago

Which of the following values would be an outlier in the following set? 1, 14, 17, 18, 19, 23

Mathematics

2 answers:

tatuchka [14]2 years ago

5 0

1 would be the outlier

jenyasd209 [6]2 years ago

5 0

1 because it is a low value compared to the other values

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How do i do 3 part a ?

WINSTONCH [101]

In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

${11 \choose 0} = 1$

${11 \choose 1} = 11$

${11 \choose 2} = \dfrac{11 \times 10}{2} = 55$

${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

6 0

3 years ago

When the three integers 400, 366, and 213 are divided by a positive integer d > 1, the remainders are the same. What is the l

raketka [301]

The number d is not a divisor of the integers 400, 366 and 213

The least possible value of d is 17

<h3>How to determine the least possible value of d</h3>

The numbers are given as:

400, 366 and 213

The divisor is given as: d

Where d > 1

To determine the least possible value of d, we make use of the following Python program, where comments are used to explain each action.

#This iterates from 2 to the smallest number of the three divisors

for d in range(2,213):

#This checks for the common remainder

if(400%d == 366%d) and (400%d == 213%d):

#This prints the value of d, when the smallest remainder of all three integers is determined

print(d)

At the end of the program, the output is 17

Hence, the least possible value of d is 17

Read more about remainders at:

brainly.com/question/25289437

8 0

2 years ago

Me Lee wants to buy b boos and m magazine for his students each book is 11.99 and each magazine is 3.79 write an expression repr

RSB [31]

Answer: 11.99 x b = 11.99b

3.79 x m = 3.79m

11.99b + 3.79m = y

Step-by-step explanation:

11.99 x b = 11.99b

3.79 x m = 3.79m

11.99b + 3.79m = y

8 0

2 years ago

Help asap, will mark brainliest

allsm [11]

Thanks for clarifying the function

$f(x) = 4\cdot 2^x$

Part A.

The average rate of change is the change in y over the interval divided by the change in x over the interval. The change in x is just the length of the interval.

So section A, the average from 1 to 2 is

$a =\dfrac{ f(2) - f(1) }{2 -1 } = \dfrac{ f(2)-f(1)}{1} = 4 (2^2) - 4(2^1) = 16 - 8 = 8$

Section B, the average from 3 to 4 is

$b =\dfrac{f(4) - f(3)}{4-3} = \dfrac{f(4)-f(3)}{1} = 4 (2^4) - 4(2^3) = 4(16)-4(8) =64-32=32$

Part B.

Section B is changing (32/8=) four times faster than section A.

f is an exponential function that not only increases its value but increases the rate at which it increases its value. Each step of one unit in x doubles the rate of increase. Here we stepped two units, from [1,2] to [3,4], so quadrupled the rate.

4 0

2 years ago

Please help I have to turn this in like 30 minutes and I still have other assignments that need to be turned in at the same time

gregori [183]

Answer:

4) A=400pi dc^2

5) A=0.09pi mi^2

Step-by-step explanation:

3 0

2 years ago