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GalinKa [24]
2 years ago
14

A bridge connecting two cities separated by a lake has a length of 5.651 mi.

Mathematics
1 answer:
Vlada [557]2 years ago
7 0

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

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A shoe factory produces 1.81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it ma
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Answer:

2*10 ^6 shoes in 10 years

Step-by-step explanation:

1.81 × 10^4 pairs of shoes each month

1.2 × 10^2 months in 10 years

Multiply these together to determine the number of shoes in 10 years

1.81 × 10^4 * 1.2 × 10^2

We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1

2 × 10^4 * 1 × 10^2

Multiply the numbers

2*1 = 2

Add the exponent

10 ^ ( 4+2)

10 ^6

Put this back together

2*10 ^6

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2 years ago
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5 bricklayers can lay a total of 50 bricks in 30 minutes. How many bricklayers will
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Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.

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1 year ago
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is th
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2 years ago
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Suppose you roll a pair of honest dice. If you roll a total of 7 you win $22, if you roll a total of 11 you win $66, if you roll
JulijaS [17]

Answer:

The expected payoff for this game is -$1.22.

Step-by-step explanation:

It is given that a pair of honest dice is rolled.

Possible outcomes for a dice = 1,2,3,4,5,6

Two dices are rolled then the total number of outcomes = 6 × 6 = 36.

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

The possible ways of getting a total of 7,

{ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

Number of favorable outcomes = 7

Formula for probability:

Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}

So, the possibility of getting a total of 7 = \frac{6}{36}=\frac{1}{6}

The possible ways of getting a total of 11,

{(5,6), (6,5)}

So, the probability of getting a total of 11 = \frac{2}{36} = \frac{1}{18}

Now, other possible rolls = 36 - 6 - 2 = 36 - 8 = 28,

So, the probability of getting the sum of numbers other than 7 or 11 = \frac{28}{36} = \frac{7}{9}

Since, for the sum of 7, $ 22 will earn, for the sum of 11, $ 66 will earn while for any other total loss is $11,

Hence, the expected value for this game is

\frac{1}{6}\times 22+\frac{1}{18}\times 66-\frac{7}{9}\times 11

\frac{11}{3}+\frac{11}{3}-\frac{77}{9}

\frac{22}{3}-\frac{77}{9}

\frac{66-77}{9}

-\frac{11}{9}

-1.22

Therefore the expected payoff for this game is -$1.22.

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