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Anarel [89]
2 years ago
10

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant.

Mathematics
2 answers:
Trava [24]2 years ago
8 0

Answer:

both are one

Ghella [55]2 years ago
5 0

Answer:

det = 1 and det = 1

Step-by-step explanation:

just took the lesson on ed-genuity, these are both right :)

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The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
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<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

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