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svet-max [94.6K]
3 years ago
5

What is the measure of <QPU​

Mathematics
1 answer:
Ghella [55]3 years ago
7 0

Answer:

The correct answer is D. 110 degrees.

Step-by-step explanation:

Angles QPR and QPU are supplementary, which means that their sum adds up to a total of 180 degrees.  This fact lets us write the following equation:

<QPU + <QPR = 180

It is given by the diagram that the measure of <QPR is 70, so we can substitute this into the equation.

70 + <QPR = 180

Now, we can simply solve this equation to find the measure of <QPR by subtracting 70 from both sides.  This gives us,

<QPR = 110

Therefore, the correct answer is 110 degrees.

Hope this helps!

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Answer: 300*0.73^x

Step-by-step explanation:

300 is the initial value and every time x goes up by 1, the value get multiplied by 0.73

when x=3

then the value would be 300*0.73*0.73*0.73 or 300*0.73^3

then for x amount of times the equation would be 300*(0.73 x times ) or 300*0.73^x

8 0
3 years ago
The joint probability mass function of XX and YY is given by p(1,1)=0p(2,1)=0.1p(3,1)=0.05p(1,2)=0.05p(2,2)=0.3p(3,2)=0.1p(1,3)=
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Answer:

P(Y=1|X=3)=0.125

Step-by-step explanation:

Given :

p(1,1)=0  

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p(1,2)=0.05

p(2,2)=0.3

p(3,2)=0.1

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p(2,3)=0.1

p(3,3)=0.25

Now we are supposed to find the conditional mass function of Y given X=3 :  P(Y=1|X=3)

P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)

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P(X=3)=0.05+0.1+0.25=0.4

P(Y=1|X=3)=\frac{P(X=3,Y=1)}{P(X=3)} =\frac{p(3,1)}{P(X=3)}=\frac{0.05}{0.4}= 0.125

Hence P(Y=1|X=3)=0.125

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Katy invests a total of $30,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the s
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3 years ago
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Answer:

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