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scZoUnD [109]
3 years ago
12

Ten thousand raffle tickets are sold. one first prize of$2000,4 second prizes of $800 each, and10 third prizes of$400 each are t

o be awarded, with all winners selected randomly. if you are given one ticket, what are your expected winnings?
Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0
From the information given:
Random wins      2000       800        400           0
Probabilities        1/10^4   4/10^4    10/10^4    9985/10^4
thus the expectation will be:
E(x)=[2000+4*800+4000+9985*0]/10^4
E(x)=9200/10000
E(x)=$0.92
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Prove 2(2x+4)= 16 2(2x) by using the laws of exponents.<br> boris9
storchak [24]

The prove that the equation can be verified using the laws of exponents.

<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>

It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).

It follows from the laws of indices ; particularly, the product of same base numbers.

The evaluation is therefore as follows;

2^(2x+4)= 16 • 2^(2x)

2^(2x) • 2⁴ = 16 • 2^(2x)

2^(2x) • 16 = 16 • 2^(2x)

Hence, since LHS = RHS, it follows that the expression is mathematically correct.

Read more on laws of exponents;

brainly.com/question/847241

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7 0
1 year ago
Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? 1 m = 100 cm.
mart [117]

Answer:

Diego

Step-by-step explanation:

Diego is because 1m = 100 and Diego is 165 and that is alote bigger from 1.7.

8 0
3 years ago
Number 6. I have no idea how to do this because the question doesn’t give enough information
Savatey [412]

{13}^{2}  =  {5}^{2}  \times {b}^{2}  \\ 169 = 25 \times  {b}^{2}  \\ 165 - 25 =  {b}^{2}  \\ 144 =  {b}^{2}  \\  \sqrt{ {b}^{2} }  =  \sqrt{144}  \\ b = 12

3 0
3 years ago
A car company is testing a new type of tire. They want to determine the time to 60 mph from a full stop in light rain, light sno
Andrej [43]

Answer:

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Step-by-step explanation:

Previous concepts

By definition a factor usually known as "the independent variable is an explanatory variable manipulated by the experimenter".

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have p groups and on each group from j=1,\dots,p we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

And we have this property

SST=SS_{between}+SS_{within}

Solution to the problem

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Th use 5 experimental units that are selected from the an specific lot. And they want to test is the stopping distance is significantly different.

And for this case we can use a one way ANOVA to test if the means are equal  in the 3 groups.

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3 years ago
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Stella [2.4K]

Answer: the answer is a hard doosie

Step-by-step explanation:

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