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3 years ago

9

Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands

on tails the next time he flips it?
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4

1 answer:

docker41 [41]3 years ago

3 0

Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

7/10= 70%

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A car is traveling at a speed of 108 km per hour what is the car speed in meters per second how many meters with the car travel

o-na [289]

There is a method of doing this called unit analysis. It automatically sets up the question in such away that you multiply all the numerators together and divide by all the denominators multiplied together. It is very handy to know.

Notice how the cancellation takes place as you progress from left to right. You are given seconds to start with and that cancels at the end, so that you are only left with meters.

$\dfrac{10 s}{1} * \dfrac{108 km}{1 hour} * \dfrac{1000 m }{1 km}*\dfrac{1 hour}{3600 s}$

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Answer: 300 meters

You could also do this question by proportions, which you will no doubt get as your second answer.

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3 years ago

Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).

Burka [1]

Step-by-step explanation:

As we know that

The circle center is equidistant from all three points, the distance being the circle radius.

Any point equidistant from two points must lie on the perpendicular bisector of the line segment which join those two points.

Which is, on the line through the midpoint of the line segment, perpendicular to the line segment.

The perpendicular bisector of the line segment joining the points (1, 1) and (1, 3) will be:

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The perpendicular bisector of the line segment joining the points (1, 3), and (9, 2) will be:

$x=\:\frac{1+9}{2}=\frac{10}{2}=5$

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$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\mathrm{The\:distance\:between\:}\left(1,\:1\right)\mathrm{\:and\:}\left(5,\:2\right)\mathrm{\:is\:}$

$=\sqrt{\left(5-1\right)^2+\left(2-1\right)^2}$

$=\sqrt{4^2+1}$

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So the equation of the circle can be written as:

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Meenu bought two fans for ₹1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of e

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<h3><u>Solution: </u></h3>

Overall<u> </u>CP of each fan = ₹1200 .

One is sold at a loss of 5% .

( This means if CP is ₹100, SP is ₹95 ) .

• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.

$= > \frac{95}{100} \times 1200 = 1140$

Also,Second fan is sold at a profit of 10% .

It means , If CP is ₹100 , SP is ₹110.

Therefore , When CP is ₹1200 , Then SP is ₹1320.

<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>

Total CP = ₹ 1200 + ₹ 1200 = ₹ 2400.
Total SP = ₹ 1140 + ₹ 1320 = ₹ 2460.

Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..

<h3>Hope this helps you :)</h3>

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