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3 years ago

There were 39 apples and 29 oranges at the grocery store. Write the ratio of apples to oranges

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

39 over 29 or 39 to 29

Step-by-step explanation:

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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

Rudik [331]

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:

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

6 0

3 years ago

Solve it plssssssssssssss

melamori03 [73]

Answer:

length = 12+2=14 feet

P = 2l+2w = (2 x 14) + (2 x 12) = 52

Step-by-step explanation:

Hope that helps! Have a wonderful day :)

5 0

3 years ago

Having trouble with add or subtracting the given polynomials

Bumek [7]

(2b^2+7b^2+b)+(2b^2-4b-12)

(9b^2+b)+(2b^2-4b-12)

9b^2+b+2b^2-4b-12

11b^2+b-4b-12

11b^2-3b-12

(7g^3+4g-1)+(2g^2-6g+2)

7g^3+4g-1+2g^2-6g+2

7g^3-2g-1+2g^2+2

7g^3-2g+1+2g^2

7g^3+2g^2-2g+1

Hope this helps!

3 0

3 years ago

Read 2 more answers

30 POINTS FOR PEOPLE WHO ANSWER CORRECTLY!

qwelly [4]

Answer:

1. 60 cm^2

2. 132.67 cm^2

3. 72.67 cm^2

Step-by-step explanation:

1. Area of rectangle

A = LW = 5 cm * 12 cm = 60 cm^2

2. Area of circle

A = (pi)r^2 = 3.14(6.5 cm)^2 = 132.67 cm^2

3. Area of shaded region

A = area of circle - area of rectangle

A = 132.7 cm^2 - 60 cm^2 = 72.67 cm^2

6 0

3 years ago

Read 2 more answers

Which of the following are polynomials? Check all that apply.

rewona [7]

Answer:

Explanation:

6 0

3 years ago