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Nimfa-mama [501]
3 years ago
6

If Susie is late for school one particular day of the week, the probability she arrives on time the next day is 0.8. If she arri

ves on time one day, the probability she arrives late the following day is 0.3. Susie was on time on Monday. What is the probability she was late on Thursday
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0

Answer:

0.273 = 27.3% probability that she was late on Thursday.

Step-by-step explanation:

On time on Monday, late on Thursday:

Possible outcomes (tuesday-wednesday-thursday).

on time(0.7 probability) - on time(0.7 probability) - late(0.3 probability)

on time(0.7 probability) - late(0.3 probability) - late(0.2 probability)

late(0.3 probability) - on time(0.8 probability) - late(0.3 probability)

late(0.3 probability) - late(0.2 probability) - late(0.2 probability).

What is the probability she was late on Thursday?

Sum of these four outcomes. So

p = 0.7*0.7*0.3 + 0.7*0.3*0.2 + 0.3*0.8*0.3+0.3*0.2*0.2 = 0.273

0.273 = 27.3% probability that she was late on Thursday.

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X+y=10 and 2x+4y=30<br>What are the steps to solve this equation?
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Answer:

x=5 and y=5

Step-by-step explanation:

You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

So let's plug the first into the second:

First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:

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Now we substitute 10-y for x in the second equation:

So 2x+4y=30 becomes:

2(10-y) + 4y = 30

And simplify that:

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20 + 2y = 30

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x = 10 - 5 = 5

Now we have both answers, x=5 and y=5

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3 years ago
Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that it forms a pile in the shap
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The height is increasing at the rate of (6/5π) ft/min.

It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone is - V=1/3hπr²

Learn more about integers here: brainly.com/question/20521181

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In Argentina, a cow on a ranch is expected to need an average of 4200 m2
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The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.

And we are asked to find the total area of their grazing but in hectares. So, we can write:

1 \: cow = 4200 \:  {m}^{2}

Then, for 4500 cows:

4500 \: cows = 4200 \:  {m}^{2}  \times 4500

4500 \: cows = 18900000 \: m {}^{2}

We know that, 1 hectares = 10000 m² = 10⁴ m²

Then let the area of the field be x in hectares:

1 \: hectare = 10000 \:  {m}^{2}

x \: hectare = 18900000 \:  {m}^{2}

Then, putting them in proportion, We will get:

x =  \dfrac{18900000}{10000} hectares

x =  \boxed{ 1890 \: hectares}

So, the total area in hectares = <u>1</u><u>8</u><u>9</u><u>0</u><u> </u><u>hectares</u><u>.</u>

And we are done !!

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