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rodikova [14]
3 years ago
12

Yancy has a board 25 feet long. He wants to cut the board into 4 1/2 foot lengths. Into how many 4 1/2 foot lengths can he cut i

t ?
Mathematics
1 answer:
seropon [69]3 years ago
8 0
So first we would convert 4 1/2 foot lengths into a decimal.

4.5 feet

Now we divide 25 by 4.5

25 ÷ 4.5 = 5.5

So Yancy can cut the board into five 4 1/2 foot lengths because the question says how many can he cut.
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68 - 14 = 82 what did I do wrong on this problem​
maksim [4K]

Answer:

you need to subtract

Step-by-step explanation:

3 0
3 years ago
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Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t
LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  =\dfrac{20}{36}

The probability distribution of this event is given as follows.

\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|

First, we determine the expected Value of this event.

Expected Value

=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  =\dfrac{20}{36}

If the game is played 100 times

Number of times expected to win

=\dfrac{20}{36} \times 100\\=56$ times

Therefore, number of times expected to loose

= 100-56

=44 times

8 0
4 years ago
A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability
saw5 [17]

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136

Total outcomes:

6 people from a set of 16.

T = \frac{16!}{6!10!} = 8008

Probability:

p = \frac{D}{T} = \frac{3136}{8008} = 0.3916

39.16% probability of selecting three Democrats and three Republicans

5 0
3 years ago
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Lubov Fominskaja [6]

Answer:

7 each

Step-by-step explanation:

28÷4=7

1/4 of 28=7

8 0
3 years ago
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vovangra [49]

Answer:

2y^10

Step-by-step explanation:

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If you are raising 2y to the 10th power it will be 2y^10

6 0
3 years ago
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