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FromTheMoon [43]
3 years ago
8

Solve for x in the figure below

Mathematics
2 answers:
qaws [65]3 years ago
6 0

Answer:

x = 66

Step-by-step explanation:

By exterior angle theorem:

x° + 49° = 115°

x° = 115° - 49°

x = 66°

x = 66

Virty [35]3 years ago
3 0

Answer:

115-49=x

x= 66°

Step-by-step explanation:

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Answer:

X1, X2

Step-by-step explanation:

y represents an employee's annual salary, measured in thousands of dollars

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3 years ago
Determine the unit of measurement that best represents each scenario.
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Answer:

pounds, ounces, tons

Step-by-step explanation:

7 0
2 years ago
1. The table shows the probabilities of a response chocolate or vanilla when asking a child or adult. Use the formula for condit
Stels [109]
\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})

"Chocolate" has the marginal distribution given by the second column, with a total probability of P(\text{chocolate})=0.35. Similarly, "Adults" has the marginal distribution described by the third row, so that P(\text{adults})=0.60. Then

P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with P(\text{chocolate}\cap\text{adults})=0.21.

The probabilities match, so these events are indeed independent.

Parts (b) and (c) are checked similarly.

b. Yes;


P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14
P(\text{children}\cap\text{chocolate})=0.14

c. Yes;

P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26
P(\text{vanilla}\cap\text{children})=0.26
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3 years ago
Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.
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7 0
3 years ago
Is this right please help me
Dima020 [189]

Answer:

there's nothing there you have to insert a file

Step-by-step explanation:

8 0
3 years ago
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