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rosijanka [135]
3 years ago
7

For a school field trip the students had two options for lunch, a turkey or egg salad sandwich, so it is impossible for a studen

t have both lunches. If the probability that a student chooses a turkey sandwich is 0.10, and the probability that a student chooses an egg salad sandwich is 0.67, what is the probability that a student chooses a turkey or egg salad sanwich?
Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer: 0.77

Step-by-step explanation:

Given :  Probability that a student chooses a turkey sandwich is

P(Turkey )= 0.10

Probability that a student chooses an egg salad sandwich is

P(egg salad)=0.67

Also, it is impossible for a student have both lunches.

∴ P(Turkey and egg salad) =0

Now , the probability that a student chooses a turkey or egg salad sandwich will be

P(Turkey or egg salad) =  P(Turkey )+ P(egg salad)- P(Turkey and egg salad)

=  0.10+ 0.67-0 = 0.77

Hence, the probability that a student chooses a turkey or egg salad sandwich= 0.77

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To solve equations, use the procedure outlined below.

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x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]

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Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.

From the above information, we can construct a transition age matrix.

A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right]

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right]

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After 1st year, the age distribution will be

x_1 = A \cdot x

x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right]

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

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After 2nd year, the age distribution will be

x_2 = A \cdot x_1

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x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]

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Given that,

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle

Yes we can find the measure of another angle

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Thus measure of other angle y is found to be 45 degrees

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