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3 years ago

13

Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B.

3-k C. K+3
D. K-3 Real quick please!

1 answer:

Marrrta [24]3 years ago

4 0

Answer:

D

Step-by-step explanation:

Hope this helps

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Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1

labwork [276]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = $N_T$

$N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960$

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

$P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}$

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are $({}^{10}C_1)$ .

For each card we can draw from any of the 4 sets. It can be described mathematically as: $({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]$

Therefore, the total outcomes for drawing straight are:

$N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240$

Thus, the probability of getting a straight hand is:

$P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039$

7 0

3 years ago

In the following equation, f(x)=2x +7, what is f(-3)?

Helen [10]

Answer:

f(-3) = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x + 7

f(-3) is x = -3

<u>Step 2: Evaluate</u>

Substitute: f(-3) = 2(-3) + 7
Multiply: f(-3) = -6 + 7
Add: f(-3) = 1

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3 years ago

What statements are always true for a square

bagirrra123 [75]

A square's sides are always all congruent. A square's angles are always all congruent. The opposite sides of a square are always parallel.

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3 years ago

the sides of a quadrilateral are 1/6 the perimeter,1/7 the perimeter 1/3 the perimeter, and 152 m. Find the perimeter.

Marta_Voda [28]

Answer:

Multiply

Step-by-step explanation:

You need to multiply unless you are told different. That's how I always did it and I got it right unless you need to divide or something.

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3 years ago

The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?

adell [148]

x + x + 2 + x + 4 = 51

3x + 6 = 51

3x = 45

x = 15

So second number in the sequence is 15 + 2

= 17 (answer)

7 0

4 years ago