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2 years ago

The smallest of three consecutive odd is numbers is n. If their sum is 27,find the three numbers

Mathematics

1 answer:

solmaris [256]2 years ago

3 0

Answer:

Therefore the sum of three odd numbers is always an odd number. Hence Proved. Let the number is 15,13 and 3 then 15=2*7+1 13=2*6+1 3=2*1+1 where 1,6 and 7 now 15+13+3=2*7+1+2*6+1+281+11 =2(7+6+1)+3 =2*14+3(24 is our 'm') and 2*14≠30. OR 15+13+3≠30

Step-by-step explanation:

The question is that you cannot get 30 by adding any three odd numbers because addition of 3 odd numbers always give another odd number and hence 30 which is an even number cannot be achieved. 2n-1 where n is a natural number.

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Dada a Matriz A= [1 -2 1 ][-3 1 4] [0 6 8] , escreva uma matriz B diferente de A, tal que detA =detB.

Mariulka [41]

Use o fato de que o determinante de qualquer matriz quadrada é o mesmo da sua transposta.

$\mathbf A=\begin{bmatrix}1&-2&1\\-3&1&4\\0&6&8\end{bmatrix}$

$\mathbf B=\mathbf A^\top=\begin{bmatrix}1&-3&0\\-2&1&6\\1&4&8\end{bmatrix}$

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3 years ago

Can someone check my answers and tell me if it’s right or not? Thank you so much :)

inessss [21]

Answer:

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Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

An urn contains two black balls and three red balls. If two different balls are successively removed, what is the probability th

lidiya [134]

You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.

Case 1: two black balls

The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.

The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)

So, the probability of picking two black balls is

$P(\text{two blacks}) = \dfrac{2}{5} \cdot \dfrac{1}{4} = \dfrac{2}{20} = \dfrac{1}{10}$

Case 2: two red balls

The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.

The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)

So, the probability of picking two red balls is

$P(\text{two reds}) = \dfrac{3}{5} \cdot \dfrac{1}{2} = \dfrac{3}{10}$

Finally, the probability of picking two balls of the same colour is

$P(\text{same colour}) = P(\text{two blacks})+ P(\text{two reds}) = \dfrac{1}{10} + \dfrac{3}{10} = \dfrac{4}{10} = \dfrac{2}{5}$

7 0

2 years ago

Alice placed $1,900 in a savings account which earns 2.2% interest, compounded every year. How much will she have in the account

ella [17]

She will have $2118 in her account after five years

<h3>How to determine the amount in five years?</h3>

The given parameters about the compound interest are

Principal Amount, P = $1,900

Interest Rate, R = 2.2%

Time, t = 5

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R)^t - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

Substitute the known values in the above equation

A = 1900 * (1 + 2.2%)^5

Express 2.2% as decimal

A = 1900 * (1 + 0.022)^5

Evaluate the sum

A = 1900 * (1.022)^5

Evaluate the exponent

A = 1900 * 1.11495

Evaluate the product

A = 2118

Hence, she will have $2118 in her account after five years

Read more about compound interest at:

brainly.com/question/24924853

#SPJ1

6 0

1 year ago

The test scores for a math class are shown below.

Nady [450]

Answer:

c. 4.7

Step-by-step explanation:

first, you find the mean of data set:

83 + 85 + 82 + 93 + 83 + 84 + 95 + 87 + 86 + 94 = 872/10 = 87.2

then, you take each number and subtract the mean and square it:

(87.2 - 83)² = (4.2)² = 17.64

(87.2 - 85)² = (2.2)² = 4.84

(87.2 - 82)² = (5.2)² = 27.04

(93 - 87.2)² = (5.8)² = 33.64

(87.2 - 83)² = (4.2)² = 17.64

(87.2 - 84)² = (3.2)² = 10.24

(95 - 87.2)² = (7.8)² = 60.84

(87.2 - 87)² = (0.2)² = 0.04

(87.2 - 86)² = (1.2)² = 1.44

(94 - 87.2)² = (6.8)² = 46.24

now, find the mean of the squared numbers:

17.64 + 4.84 + 27.04 + 33.64 + 17.64 + 10.24 + 60.84 + 0.04 + 1.44 + 46.24 = 219.6/10 = 21.96

then, take the square root of the number you just got:

√21.96 = 4.68

and last but not least, round to the nearest tenth: 4.7

6 0

3 years ago