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vichka [17]
3 years ago
14

A local downtown arts and crafts shop found from past observation that 15% of the people who enter the shop actually buy somethi

ng. Three potential customers enter the shop.
a. How many outcomes are possible for whether the clerk makes a sale to each customer? Construct a tree diagram to show the possible outcomes. Let Y=sale, N=no sale.



b. Find the probability of making at least one sale to the 3 customers.

Mathematics
1 answer:
igomit [66]3 years ago
7 0

Answer:

a. Please refer to the diagram below

b. 0.385875

Step-by-step explanation:

The tree diagram is shown below.

To calculate the probability of at least one sale to the three customers, we have to ways. The easier way is to calculate the probability of no sales to three and subtract the value from one:

1-0.614125=0.385875

Other way is to calculate the sum of following probabilities:

One sale + Two sale + Three sale.

0.003375+0.019125+0.019125+0.108375+0.019125+0.108375+0.108375=0.385875

For the probability, please refer to the tree diagram. If moving to the sub branch of the previous branch, we multiply the probability; otherwise we add.

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Eriko cuts out a paper quadrilateral with two angles that each measure 60° and two angles that each measure 120°. Only two of th
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Answer:

The quadrilateral is Parallelogram.

Step-by-step explanation:

A quadrilateral is a four-sided regular polygon.

A parallelogram is a quadrilateral.

The opposite sides of a parallelogram are parallel and equal in length.

The opposite angles of a parallelogram are also equal.

In this case the quadrilateral is defined as follows:

  • two angles that each measure 60°
  • two angles that each measure 120°
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Consider the quadrilateral ABCD below.

The quadrilateral ABCD is Parallelogram.

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3 years ago
Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

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Andrea jumped 5 times every 45 minutes. At that rate, how many
elena55 [62]

Answer:

6 times

Step-by-step explanation:

If Andrea jumps 5 times every 45 minutes, she will jump 1 time every 9 minutes. 54 divided by 9=6 times. Hope it helps!

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3 years ago
Given a polynomial f(x), if (x + 5) is a factor, what else must be true?
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Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5. 

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