The probability of getting of drawing an 3 or a 7 out of a bag containing the numbers 1 - 8 inclusive
1 answer:
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The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
Therefore, the length of DE will be 3 units
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
Therefore, the length of DE will be 3 units
Answer:
Step-by-step explanation:
Ask yourself, when will Xavier and Yolanda meet??
Firstly, since it is given that Xavier doesn't wait at all, in order for them to meet, Yolanda must arrive before Xavier. This in mathematical terms can be expressed as
Secondly, Yolanda will wait for only 45 minutes, So Xavier must arrive before that, i.e
Combining both conditions, we obtain
If and
be the density functions for Xavier and Yolanda respectively, the probability of meeting is given by,
.