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777dan777 [17]
3 years ago
13

Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as

a single complete sentence on why he was or was not speeding.
Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

Speed allowed in the zone = 45 miles per hour zone.

Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.  

1 mile = 1609.34 meters

1 hour = 3600 second

Now convert 20.3 into mile per hour.

20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.

Since Tom’s speed is more than the allowed speed so he is speeding.

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2 cards are chosen from a deck of cards. The first card is replaced before choosing the second card. What is the probability tha
fgiga [73]

Answer:

The probability that the first card chosen is club and second card chosen is of heart is .

Step-by-step explanation:

Total number of cards in the deck is 52 (total number of cases).

Probability of an event E can be formulated as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

For event A, number of cards of type club = 13 (favorable cases)

So,

P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}

For event B, number of cards of type heart = 13 (favorable cases)

So,

P(B) = \dfrac{13}{52} \\\Rightarrow P(B) = \dfrac{1}{4}

It is given that card is replaced before choosing the second card.

These events A and B are independent events, happening of one event does not effect the happening of other.  And probability of both happening together can be found as following:

P(A \cap B) = P(A) \times P(B)

\Rightarrow P(A \cap B) = \dfrac{1}{4} \times \dfrac{1}{4}\\\Rightarrow P(A \cap B) = \dfrac{1}{16}

The probability that the first card chosen is club and second card chosen is of heart is \frac{1}{16}.

8 0
3 years ago
What is the molarity of a solution
Vika [28.1K]

Answer:

0.670. M

Step-by-step explanation:

Molarity can be expressed like this:

molarity =  number of moles /volume (L)

We know the volume, which is  2.37 L , but we need to find the number of moles. We can do this by dividing  67.3 g  by the molar mass of  L i C l :

number of moles  = mass of sample /molar mass

number of moles  =  67.3 g /(6.94 + 35.45) g/mol  = 67.3 g /42.39 g/mol

number of moles = 1.59 mol

molarity = 1.59 mol /2.37 L =  0.670. M

7 0
3 years ago
Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3
Valentin [98]

Answer:

\frac{4}{4} ,\frac{5}{5}

Step-by-step explanation:

In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.

\frac{2}{2} =1

\frac{3}{3}=1

\frac{4}{4}=1

\frac{5}{5} =1

As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.

Hope this helps.

3 0
3 years ago
The profit P in dollars, gained by selling x computers is modeled by p = -5x²+1000x+5000. How many computers must be sold to obt
olchik [2.2K]

Answer:

p =  - 5 {x}^{2}  + 1000x + 5000 \\ 5500000 =   - 5 {x}^{2}  + 1000x + 5000 \\

solve for x

8 0
2 years ago
Read 2 more answers
A(n) ____ is NOT an example of an agreement.
kicyunya [14]

Answer:

D) Fine Print

Fine print is part of an agreement but technically isnt one.

6 0
3 years ago
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