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guapka [62]
3 years ago
6

Justin shoots in an air rifle competition. Out of 30 targets he hit 12 bulls eyes. What is the probability that on his next atte

mpt he will shoot a bull's eye.
Subjective Probability

Empirical Probability

Theoretical Probability

Authentic Probability

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Question 21 pts
If the Probability of an event happening is 70%, what are the ODDS of the event happening?


7:10

7:3

10:7

3:7

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Question 31 pts
What is the complement of event of spinning the spinner to land on an even number?





Group of answer choices

The spinner landing on 2, 4, 6 or 8

The spinner landing of 1, 3, 5, or 7

The spinner landing on 1, 2, 3 or 4

The spinner landing on 5, 6, 7 or 8.

Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer:

Q1. Empirical Probability

Q2. 7:3

Q3. "The spinner landing of 1, 3, 5, or 7"

Step-by-step explanation:

Q1.

This is the type of probability that depends on experiment and what has happened before.

Subjective Probability is based on intuition. It is vague.

Empirical probability depends on experiment and on what has happened to know what will happen.

Theoretical probabilty is is the theory behind probability aka. classical probability.

Authentic probability is more like real life probability.

From the definitions, we see that the condition given, it is Empirical probability because Justin's next shooting on target will depend on his previous "experiment" of hitting bulls eye 12 out of 30 times.

Hence, the answer is Empirical Probability

Q2.

The odds of event happening are the ratio of "event happening" to "event not happening".

So, event happening is 70% or 0.7

Event not happening, is thus, 1 - 70% = 30% = 0.3

Odds are 0.7:0.3

or

7:3

Q3.

The complement of an event is 1 - event. Or simply, the complement is chances of event not happening.

We want complement of "even number", so that would be only "odd numbers".

From the answer choices, 2nd answer choice is right because it only has ODD NUMBERS.

"The spinner landing of 1, 3, 5, or 7"

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Find the average value of f over region
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D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
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Describe how to find the selling price of an item that has been marked up 110%
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Answer:

Step-by-step explanation:

Sounds as tho' possible answer choices were listed.  Please, share them without being asked to do so.  Thank you.

 7√(x²)          7√(x²)

------------- = ----------------------

  5 √(y³)        5√( y^(3/2) )

We want to get the fractional exponent out of the denominator.  To do this, multiply both numerator and denominator by y^(1/2):

 7√(x²)          7√(x²)                y^(1/2)      7√(x²)·y^(1/2)       7x√y

------------- = --------------------- * ----------- = --------------------- = ----------

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This is the final answer.  We have succeeded in removing radicals / fractional exponents from the denominator.

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