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mixer [17]
2 years ago
10

What is the correct order of statements and reasons to complete the proof? help please

Mathematics
2 answers:
WARRIOR [948]2 years ago
8 0
The answer would be A
Rufina [12.5K]2 years ago
4 0
The answer will be A due to them being on opposite sides with the triangle having adjacent measures so both of those angles given provide the same measure
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PLEASE HELP
dsp73

Answer:

All events are independent

Step-by-step explanation:

You are given the table

\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}

Two events A and B are independent when

Pr(A\cap B)=Pr(A)\cdot Pr(B)

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21

Since 0.35\cdot 0.60=0.21 events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14

Since 0.40\cdot 0.35=0.14 events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26

Since 0.65\cdot 0.40=0.26 events are independent

4 0
3 years ago
The ratio of doves to parrots in a cage is 1 to 2. If there are 6 doves and parrots altogether then how many parrots are there?
Mama L [17]
There would be 2 doves and 4 parrots.

2 + 4 = the 6 in total, and the ratio between doves (2) and parrots (4) is 1 to 2 because the ratio of 2 to 4 is equal to 1 to 2.
6 0
3 years ago
16. A proportional relationship between the number of pounds of tomatoes (x) and the price in dollars (y) is graphed, and the or
kondaur [170]

The relationship being proportional means there is a value of k such that

... y = k·x

We are given the point (6 (pounds), 3 (dollars)), so we can write ...

... 3 dollars = k·6 pounds

Dividing by 6 pounds, we get

... (3/6) dollars/pound = k = $0.50/lb

Now, we can use x=1 pound to find the price (y),

... y = ($0.50/lb)·(1 lb)

... y = $0.50 . . . . the price of 1 pound of tomatoes.

4 0
3 years ago
Find the value of x.<br> (2x + 30)<br> (5x - 18)
laiz [17]

Answer:

No answer as written.  16 if we add an equals sign.

Step-by-step explanation:

As written, there is no "=" sign in either expression.  That means they are only expressions, not equations.  x can be anything.  10, 12345, 0.00000343345567788, etc.  There is nothing that restricts the value of x.

If we set the two expressions equal to each other, we can calculate a value of x:

(2x + 30) = (5x - 18)

3x = 48

x = 16

6 0
2 years ago
What is the volume of the triangular prism? *
SVETLANKA909090 [29]

Answer: 144

Step-by-step explanation:

No need explanation

8 0
3 years ago
Read 2 more answers
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