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dsp73
3 years ago
5

For one month, Terry recorded the time at which her school bus arrived. She organized her results in a frequency table. Find the

experimental probability that the bus will arrive between 8:20 and 8:24.

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

Experimental Probability is found:

P = 11/24

Step-by-step explanation:

Experimental Probability can be defined as the ration of the number of times (frequency) a desirable event has occurred, to the Total number of time (total frequency) the activity has been performed.

Probability = P = Frequency of an event / Total Frequency

To find the total frequency, we add all three of the given frequencies:

Total Frequency = 10 + 11 + 3

Total Frequency = 24

Frequency of the event (times bus arrived between 8:20 to 8:24) = 11

So, experimental probabilty is found as:

P = 11/24

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Answer:

Distance of Sun and Mercury = 58,000,000 km.

In Scientific notation, it would be: 5.8 × 10⁷ Km

Diameter of a human hair = 0.0025 cm

In scientific notation, it would be: 2.5 × 10⁻³ cm

Before Comparison, we need to bring centimeter to Kilometers or vice-versa, so we can easily calculate then, here, we will go from cm to Km.

2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸

Now, we can compare the values, 

5.8 × 10⁷ Km > 2.5 × 10⁻⁸

[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]

Step-by-step explanation:

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3 years ago
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Art [367]

Answer:

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Bogdan [553]
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3 years ago
The general form of an parabola is 2x2−12x−3y+12=0 .
Murljashka [212]

Answer:

The standard form of the parabola is (x-3)^2=4*\frac{3}{8}(y+2)

Step-by-step explanation:

The standard form of a parabola is

(x-h)^2=4p(y-k).

In order to convert 2x^2-12x-3y+12=0 into the standard form, we first separate the variables:

2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y

we now divided both sides by 2 to remove the coefficient from 2x^2 and get:

x^2-6x+6=\frac{3}{2}y.

We complete the square on the left side by adding 3 to both sides:

x^2-6x+6+3=\frac{3}{2}y+3

x^2-6x+9=\frac{3}{2}y+3

(x-3)^2=\frac{3}{2}y+3

now we bring the right side into the form 4p(y-k) by first multiplying the equation by \frac{2}{3}:

\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2

and then we multiplying both sides by \frac{3}{2} to get

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