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solniwko [45]
2 years ago
14

A amusement park line for passengers waiting to ride a roller coaster is moving about 16 feet every 10 minutes Jackson and his f

riends are standing 40 feet from the front of the line select values to set up a proportion to a represents this situation
Mathematics
2 answers:
nekit [7.7K]2 years ago
7 0

Answer:

It will take 25 minutes to reach first in line.        

Step-by-step explanation:

Data given in the question:

Distance between Jackson and his friend = 40 feet

Rate at which the line is moving = 16 feet per 10 minute

Thus, time taken by Jackson to reach the position his friend is standing is given by:

\text{Time taken = }\displaystyle\frac{\text{Distance}}{Rate}

\text{Time taken} = \displaystyle\frac{40\text{ feet}}{16\text{ feet per 10 minute}}

= \displaystyle\frac{40\times 10}{16} = 25\text{ minutes}

Proportion used can be written as

Time:10::40:16

DanielleElmas [232]2 years ago
3 0
10/16  = t /40

where t is the time  in minutes that they will get to the front of the line.
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The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15%
vagabundo [1.1K]

Answer:

1) \chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313

2) p_v =P(\chi^2_{3}>16.313)=0.000978

And we got the same decision reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts

The Chi-Square test of independence is used "to determine if there is a significant relationship between two nominal (categorical) variables". And is defined with the following statistic:

\chi^2 =\sum_{i=1}^n \frac{(O-E)^2}{E}

Where O rpresent the observed values and E the expected values.  

State the null and alternative hypothesis

Null hypothesis: The distribution  is 30% catfish, 15% bass, 40% bluegill, and 15% pike

Alternative hypothesis: The distribution  is NOT 30% catfish, 15% bass, 40% bluegill, and 15% pike

The observed values are given by the table given:

Catfish =112, BAss = 95, Bluegill=210, Pike=83

Calculate the expected values

In order to calculate the expected values we can use the following formula for each cell of the table

E = \% Grand total

E_{Catfish}=500*0.3=150

E_{Bass}=500*0.15=75

E_{Bluegill}=500*0.4=200

E_{Pike}=500*0.15=75

Part 1: Calculate the statistic

\chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313

\chi^2 =16.313

Calculate the critical value

First we need to calculate the degrees of freedom given by:

df= (categories-1)=(4-1)= 3

Since the confidence provided is 95% the significance would be \alpha=1-0.95=0.05 and we can find the critical value with the following excel code: "=CHISQ.INV(0.95,3)", and our critical value would be \chi^2_{crit}=7.815

We can calculate also the p value:

p_v =P(\chi^2_{3}>16.313)=0.000978

And we got the same decision reject the null hypothesis at 5% of significance.

5 0
2 years ago
-3k = 18<br> Solve this problem
kvv77 [185]
It’s K equals negative 6
4 0
3 years ago
Read 2 more answers
PLZ EXPLAIN HOW TO DO THIS
Hitman42 [59]
Hello! Sorry, this took a minute. 

All of the x's are on the same line, and they are equal to 180 degrees. 

2x+x+3x+x=180 

A straight line equals 180. 

Combine like terms. 

7x=180

Divide both sides by 7. 

25.714... round to 25.7

Now, plug that into the angle that is vertical to 2y. (3x)

3(25.7)= 77.1

So, 3x= 77.1 and 2y= 77.1

Plug that in. 

2y=77.1

Divide both sides by 2. 

y=38.55

Round that up to 38.6. 

"D" is the answer.

I hope this helps!
~kaikers
3 0
3 years ago
1. (08.01)
Debora [2.8K]

Answer:

The greatest common factor of 12 and 36 is 12.

Hope this helps.

3 0
3 years ago
Please help me with this!! 18 points!!
olasank [31]

Answer:

Step-by-step explanation:

20 is    8x8^5=262144   (8x8)^5= 1073741824 so they are not the same

21 is     (3^2)^-3 = 0.001372   (3^3)^-2=0.001372 THEY ARE NOT THE SAME

okay thats

all i got its a bit hard to read for me sorry

6 0
3 years ago
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