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hammer [34]
4 years ago
6

00:00 Sia designs a board game in which a card is drawn on each turn. • A blue card means move forward 4 squares. • A red card m

eans move back 6 squares. Liam suggests adding some other cards to Sia's game Part A Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
Mathematics
1 answer:
s344n2d4d5 [400]4 years ago
6 0

Answer:Back 2

Step-by-step explanation:Blue + Red=-2

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suppose we want to choose 6 letters without replacement from 13 distinct letters. A) how many ways can this be done if order doe
kiruha [24]

Answer: A) 1716   B) 1235520

Step-by-step explanation:

  • If order doesn't matter , then we use combinations, where the number of combinations of selecting r things from n is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

  • If order matters , then we use permutations, where the number of permutations of selecting r things from n is given by :-

^nP_r=\dfrac{n!}{(n-r)!}

Given, Total distinct letters = 13

To choose = 6 letters

A) Number of ways to choose (if order does not matter)=^{13}C_6

=\dfrac{13!}{6!7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!}{(720)\times 7!}\\\\= $$1716

B) Number of ways to choose (if order matters)=^{13}P_6

=\dfrac{13!}{7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!} 7!}\\\\= $$1235520

Hence, A) 1716   B) 1235520

5 0
4 years ago
Mario purchases a prepaid phone plan for $50. Each minute he uses costs $0.13. How many minutes can Mario talk on this plan? Wri
Mekhanik [1.2K]
0.13 cents per minute

$50 per month

13 goes into 5,000 = 384

384 minutes per month
6 0
4 years ago
1. Identify the slope and y-intercept for the Unear<br> equation below.<br> Y = 2x 1
BigorU [14]
The slope is 2 and the y-intercept is -1
6 0
3 years ago
Which of the following sums would be under the radical symbol to find the distance between the points (7, -1) and (-8, -9)?
Ann [662]
The sum is 15^2 + 8^2 and it doesn't match any of the above


5 0
4 years ago
Read 2 more answers
Is the inverse of a symmetric matrix also symmetric?
Ahat [919]
Yes, the inverse of a symmetric matrix is also symmetric.

Take the symmetric matrix A, we have:

AA^{-1} = I

and

I^{T} = I

This gives:

(AA^{-1})^{T} = AA^{-1}

Using the properties:

AA^{-1} = A^{-1}A and (AA^{-1})^{T} = (A^{-1})^{T}A^{T}

We get:

(A^{-1})^{T}A^{T} = A^{-1}A

Since A^{T} = A, we can perform the substitution to get:

(A^{-1})^{T}A = A^{-1}A

Multiplying by A^{-1} on both sides:

(A^{-1})^{T}AA^{-1} = A^{-1}AA^{-1}

(A^{-1})^{T}I = A^{-1}I

(A^{-1})^{T} = A^{-1}

Proving that the inverse of a symmetric matrix is also symmetric.
7 0
3 years ago
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