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Tems11 [23]
3 years ago
10

An engineer spends 30% of the time at home and 40% at work, 6 mi away. The remaining 30% is spent commuting between home and wor

k in a straight line at a steady velocity. Calculate the probability that at a randomly chosen time the engineer is at least 2 mi from home.
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

1

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

The time commuting between home and work is 6mi

Probability (the engineer is at least 2mi from home) means that the engineer is either 2mi from home or more than 2mi from home

Probability (the engineer is 2mi from home) = 2/6

Probability (the engineer is more than 2mi from home) = 1 - 2/6 = (6-2)/6 = 4/6

Probability (the engineer is at least 2mi from home) = 2/6 + 4/6 = 6/6 = 1

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(3-4i)(6i+7)-(2-3i)
Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)}  \\  \displaystyle \large{[18i + 21  - 24 {i}^{2}  - 28i]- (2 - 3i)}

Now combine like terms.

\displaystyle \large{[ - 10i+ 21  - 24 {i}^{2} ]- (2 - 3i)}

<u>I</u><u>m</u><u>a</u><u>g</u><u>i</u><u>n</u><u>a</u><u>r</u><u>y</u><u> </u><u>U</u><u>n</u><u>i</u><u>t</u>

\displaystyle \large{i =   \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2}  =   - 1 }

Therefore:-

\displaystyle \large{[ - 10i+ 21  - 24  ( - 1) ]- (2 - 3i)}  \\   \displaystyle \large{[ - 10i+ 21   + 24]- (2 - 3i)}  \\   \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

\displaystyle \large{- 10i+ 45 -  (2 - 3i)}  \\   \displaystyle \large{- 10i+ 45 -  2 + 3i}

Combine like terms.

\displaystyle \large{43 - 7i}

5 0
3 years ago
Table of values 3x+2y=24
Mekhanik [1.2K]

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4 0
3 years ago
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Softa [21]

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3+2c

Step-by-step explanation:

To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.

7 0
4 years ago
A - 2 1/2 = 1 1/2 pls I need help. also dont now why it says im in high school.
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Answer:

question is not clear , what do u need exactly?

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