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2 years ago

The result of 2/3 times 18 is?

2 answers:

Rudiy272 years ago

7 0

2/3 * 18 =
1. 2/3 = 0.6666666667
2. 0.6666666667 * 18 = 12
3. Just to check divide
4. 12 ÷ 18 = 6666666667
So 2/3 * 18 = 12
Hope this helps : )

Otrada [13]2 years ago

6 0

Two-thirds times eighteen is twelve

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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card

joja [24]

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

$\dfrac{13}{52}=\dfrac{1}{4}$

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

$\dfrac{12}{51}$

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

$\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}$

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3 years ago

Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the

Bezzdna [24]

Answer:

Remainder= 5, and the binomial $(x-1)$ is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is $(2x^3-3x^2+6)$ , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if $(x-a)$ is a factor then remiander would be $f(a)$

Therefore for $(x-1), \ {we find}\ f(1)}$

$f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5$

Thus the remainder is 5 and since it is not 0 , so the binomial $(x-1)$ is not a factor of the given polynomial.

6 0

2 years ago

Read 2 more answers

Rotate the given triangle 90°

kati45 [8]

9514 1404 393

Answer:

$\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]$

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

$\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]$

Then the rotated coordinates are ...

$\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]$

_____

The transformation of each ordered pair is ...

(x, y) ⇒ (-y, x)

4 0

2 years ago

Read 2 more answers

Find the area of the sector, rounding your answer to 1d.p. thank you for your help :3

andreyandreev [35.5K]

Answer:

176.7cm^2

Step-by-step explanation:

Area of circle = π ×r^2

π×15^2

and then divide by 4 because it's one quarter of a circle

7 0

2 years ago

The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (

Rufina [12.5K]

Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

Sum of terms:

Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
2020 = 10(2a₁ + 19d)
202 = 2a₁ + 19d

In order a₁ to be an integer, d must be even number, so d = 2k

202 = 2a₁ + 38k
101 = a₁ + 19k

Possible values of k= 1,2,3,4,5

k = 1 ⇒ a₁ = 101 - 19 = 82
k = 2 ⇒ a₁ = 101 - 38 = 63
k = 3 ⇒ a₁ = 101 - 57 = 44
k = 4 ⇒ a₁ = 101 - 76 = 25
k = 5 ⇒ a₁ = 101 - 95 = 16

As per above,

a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82

6 0

2 years ago