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larisa [96]
3 years ago
14

5y - 3z + 4y -1z - 3y; y = 3 and z = -2

Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0
5(3)-3(-2)
15-(-6)=
15+6=21
a negative plus a negative is a positive so its 21
4(3)-3(-2)
12-(-6)
12+6=18
21+18=39
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Suppose A and B are dependent events. If P(A) = 0.5 and P(BIA) = 0.6, what is
klasskru [66]

If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.

<h3>Which pair of events are called independent events?</h3>

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

P(A ∩ B) = P(A)P(B)

Comparing it with chain rule will give

P(A|B) = P(A)

P(B|A) = P(B)

Suppose A and B are dependent events.

If P(A) = 0.5

Then P(A|B) will be

P(A|B) = P(A)

P(A|B) = 0.5

Then the correct option is B.

Learn more about probability here:

brainly.com/question/1210781

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4 0
2 years ago
Three years ago, Claire borrowed money from her father to pay for a class trip. She agreed to pay 6% simple annual interest on t
Nadya [2.5K]

Answer:

Claire borrowed $500 from her father.

Step-by-step explanation:

Interest = $90

p = ?

r = 6% or 0.06

t = 3

Simple interest formula is :

I=p\times r\times t

Putting values in formula we get;

90=p\times0.06\times3

90=0.18p

p = $500

Hence, Claire borrowed $500 from her father.

3 0
3 years ago
Read 2 more answers
Ordering the Angle Measures of a Triangle
mel-nik [20]

Answer:

  C, B, A

Step-by-step explanation:

The sides in order from shortest to longest are ...

  AB = m-2

  AC = m

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The angles opposite these sides will be in order, smallest to largest. The angle opposite is the one whose letter is <em>not</em> in the line segment name.

  C, B, A

7 0
3 years ago
Help please. i am terrible with fractions.<br><br> 2/3 - (1/4) * (4/9)
s2008m [1.1K]
Ok so first following the order of opperation (P.E.M.D.A.S.)
We have to multiply first so 1/4*4/9 is 4/36
2/3-4/36
We have to get them both to have the same denominator
What times 3 is 36? 12
So multiply 2*12 and 3*12 you get 
24/36-4/36=5/9(simplified)
7 0
3 years ago
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Solve the system of equations.<br> 3x – 4y = 8<br> 18x – 5y = 10<br><br> X=<br> Y=
ivolga24 [154]
X = 0
Y = -2
You can plug them in just to check if you want
5 0
2 years ago
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