<h2>☀️
<u>Solution</u><u>:</u></h2>
We all know that,
- All animals have 2 eyes.
- All cows have 4 feet
- All hens have 2 feet
So, Let the no. of cows be x and chickens be y
According to question,
- Total number of eyes = 162
Framing equation,
⇛ Eyes of cows + Eyes of chickens = 162
⇛ 2x + 2y = 162
⇛ 2(x + y) = 162
⇛ x + y = 162/2 = 81 -----------(1)
According to question(Cond.-1)
- Total number of feet = 270
Framing equation,
⇛ Feet of cows + Feet of chickens = 270
⇛ 4x + 2y = 270
⇛ 2(2x + y) = 270
⇛ 2x + y = 135 ----------(2)
Subtracting eq.(1) from eq.(2),
⇛ 2x + y - (x + y) = 135 - 81
⇛ 2x + y - x - y = 54
⇛ x = 54
Putting value of x in eq.(1),
⇛ 54 + y = 81
⇛ y = 81 - 54
⇛ y = 27
⚘ So, Total number of animals,
- Number of cows = x = 54
- Number of chickens = y = 27
Hence, solved !
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In statistics, a Chi-squared test may be used to determine holiday choice and gender and α (alpha) is the response variable.
<h3>What is the Chi-squared test? </h3>
A statistical technique called the chi-square test is used to compare actual outcomes with predictions.
The goal of this test is to establish if a discrepancy between actual and predicted data is the result of chance or a correlation between the variables you are researching.
Whether there is a statistically significant association between categorical variables is determined by the Chi-square test of independence.
This issue is addressed by a hypothesis test. The chi-square test of association is another name for this assessment.
Hence,in stats would a test looking at gender & holiday preference yes you can do a Chi-squared test and α(alpha) is the response variable.
To learn more about the Chi-squared test refer;
brainly.com/question/14082240
#SPJ1
-x-5
- -5x^2 - 3
or
(-x-5) - (-5x^2 - 3)
First, distribute the -. So then it becomes
-x - 5 + 5x^2 + 3
Since you can't add 5x^2 to -x. You can only combine -5 and 3.
Thus it becomes
- x + 5x^2 -2
However, you order in exponents so
5x^2 - x - 2
would be the correct answer.
(10² ÷ 5) × (3 + 7) = 200