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Naddika [18.5K]
3 years ago
6

An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One-fourth of the

Mathematics
1 answer:
NikAS [45]3 years ago
6 0

Answer:

Step-by-step explanation:

salaries=2070

monthly activities=1/4of rem(x-2070)

1/4(x-2070)=1/4x-2070/4

1/4x-2070/4+2070=X

2070-517.5=3/4x

1552.5=3/4x

4*1552.5=3/4x*4

6210=3x=2070

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Eight less than the quotient of x and 3 = \frac{x}{3} - 8

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Simplify 13x + 7y - 2x + 6a
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Step-by-step explanation:

13x+7y-2x+6a

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3 years ago
Assume that a cross is made between a heterozygous tall pea plant and a homozygous short pea plant. Fifty offspring are produced
Butoxors [25]

Answer:

1) \chi^2 = \frac{(30-25)^2}{25} +\frac{(20-25)^2}{25} =1 +1 =2

2) df = c-1 = 2-1

Where c represent the number of categories c=2

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

Tall =30 , Short =20

We need to conduct a chi square test in order to check the following hypothesis:

H0: The deviations from a 1:1 ratio (25 tall and 25 short) are due to chance.

H1: The deviations from a 1:1 ratio (25 tall and 25 short) are NOT due to chance.

Part 1

So then we know that the expected values would be 25 for each case

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

And if we replace we got:

\chi^2 = \frac{(30-25)^2}{25} +\frac{(20-25)^2}{25} =1 +1 =2

Part 2

For this case the degreed of freedom are given by:

df = c-1 = 2-1

Where c represent the number of categories c=2

And we can calculate the p value given by:

p_v = P(\chi^2_{1} >2)=0.157

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(2,1,TRUE)"

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