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3 years ago

Yk+yz=r Solving for y

Mathematics

1 answer:

Lelu [443]3 years ago

5 0

Factor y out
Y(k+z)=r
Divide by y
Y=r/(k+z)

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There is 1/4 chance of picking a green marble from a bag. IF there are 20 total marbles in the bag, how many marbles must be gre

matrenka [14]

Answer:

5 green marbles.

Step-by-step explanation:

20* 1/4 = 5

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3 years ago

PLEASE HELP IM BEING TIMED !! Find the perimeter of a quadrilateral with the given vertices: M(-1, 7), A(5, 2), T(-3, -3), H(0,

allsm [11]

Answer:

28.02

Step-by-step explanation:

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3 years ago

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

3 years ago

How to find 17.3205 to the nearest 0.1 meter?

mr Goodwill [35]

See how if the number (1-4 u would round down, 5-9 u round up) u would look at the place value it asks then look at the one next to it and see if u round up of down so it would be 17.3

4 0

3 years ago

Can you please help me with this

gogolik [260]

Answer:

$y = x + 3$

...........

5 0

3 years ago

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