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Alinara [238K]
3 years ago
6

The table shows information about some children.

Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Answer:

P(Age\ 12) = \frac{2}{3}

Step-by-step explanation:

Given

        Age 11    Age 12    Total  

Girls   3             5              8

Boys   1             3             4

Required

P(Age\ 12)

The number of aged 12 children is:

Age\ 12 = 5 + 3

Age\ 12 = 8

The total number of children is:

Total=8+4

Total = 12

So, we have:

P(Age\ 12) = \frac{Age\ 12}{Total}

P(Age\ 12) = \frac{8}{12}

Simplify

P(Age\ 12) = \frac{2}{3}

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Write a description of the rule (x, y) = (x - 4, y + 3).
storchak [24]

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Answer:

  translate 4 left and 3 up

Step-by-step explanation:

The value added to the x-coordinate is the translation to the right. Here, it is -4, so the translation is 4 units left.

The value added to the y-coordinate is the translation up. Here, it is +3, so the translation is 3 units up.

The rule effects a translation 4 units left and 3 units up.

4 0
3 years ago
How many terms does the polynomial have?
ollegr [7]

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2 years ago
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​
PIT_PIT [208]

Answer:

The family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|} (1)

Where:

\theta - Angle between vectors, in sexagesimal degrees.

\|\vec a\|, \|\vec b \| - Norms of vectors \vec {a} and \vec{b}

If \theta is acute, then the cosine function is bounded between 0 a 1 and if we know that \vec {a} = (p, 3, -7) and \vec {b} = (p, -p, 4), then the possible values for p are:

Minimum (\cos \theta = 0)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0

Maximum (\cos \theta = 1)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1

With the help of a graphing tool we get the family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

7 0
2 years ago
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Answer:

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Step-by-step explanation:

Hello!! I for got how to solve this but, I think it is:

68 x 0.60 = 40.8

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5 0
3 years ago
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Troyanec [42]

The answer is A. 59.49


5 0
3 years ago
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