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mylen [45]
3 years ago
8

If the probability of turning left is 0.5 and the probability of

Mathematics
1 answer:
babymother [125]3 years ago
4 0

Answer:

0.5

Step-by-step explanation:

The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.

The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.

So the probability that only one mouse turns left is:

P =  0.25 + 0.25

P = 0.5

Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.

P = 1 − (P(both left) + P(both right))

P = 1 − (0.5 × 0.5 + 0.5 × 0.5)

P = 0.5

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What combination of transformations is shown below
Kay [80]

Answer:

rotation then translation

Step-by-step explanation:

I took it and I got it right

8 0
3 years ago
Determine the area of the triangular ABC with AC=5cm and height DB=30 mm.<br>​
Lady_Fox [76]

Answer:

750 mm²

Step-by-step explanation:

<h3>Area of triangle:</h3>

To find the area of the triangle, multiply the base and height and then divide the result by 2.

       \sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base *height}

base = AC = 5 cm = 50 mm

height = DB = 30 mm

                                       \sf = \dfrac{1}{2}*50*30\\\\= 25 *30\\\\= 750 \mm^2

7 0
2 years ago
What is the volume of a rectangular prism with a length of 2 inches, a width of an inch &amp; is a quarter of an inch in height?
JulijaS [17]

Answer:

= 1/2 inches ^3

Step-by-step explanation:

The volume of a prism

V = l*w*h

  = 2 * 1 *1/4

  = 1/2 inches ^3

4 0
3 years ago
Read 2 more answers
Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. U
kogti [31]

Answer:

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Forecast of rain.

Event B: Raining.

In recent years, it has rained only 5 days each year.

A year has 365 days. So

P(B) = \frac{5}{365} = 0.0137

When it actually rains, the weatherman correctly forecasts rain 90% of the time.

This means that P(A|B) = 0.9

Probability of forecast of rain:

90% of 0.0137(forecast and rains)

10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)

P(A) = 0.0137*0.9 + 0.9863*0.1 = 0.11096

What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

P(B|A) = \frac{0.0137*0.9}{0.11096} = 0.1111

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

3 0
3 years ago
The image below shows two dilated figures with lines WX and W'X' drawn. If the larger figure was dilated using a scale factor of
Inga [223]

Answer:

Line W'X' is 4 times longer than line WX.

Step-by-step explanation:

When we dilate a figure by a scale factor, the side length increases by that scale factor. If the length was 1 before the dilation, and the scale factor is 2, the length would be 2 after the dilation because 1*2=2. Assuming that WX and W'X' are sides of the figure because no image was provided, the dilated side should be 4 times longer.

3 0
2 years ago
Read 2 more answers
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