Answer:
At least one of the population means is different from the others.
Step-by-step explanation:
ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.
Hence, the null hypothesis for an ANOVA is that all treatments or samples come from populations with the same mean. The alternative hypothesis is best stated as at least one of the population means is different from the others.
The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is
the Pythagoras theorem?</h3>
(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,
Therefore the ratios of sin x° and cos y° are 15/8.
To learn more about the trigonometric function visit:
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Answer:
1. 2/25
2. 4/15
Step-by-step explanation:
1. P(Y∩X)
Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.
So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25
2. P(Y)· P(X)
P(Y)· P(X) = 2/3 × 2/5 = 4/15
Place a point at (0,-5) because that is the y-intercept (the -5 on the vertical line)
Since the slope is negative two which can be re-written as -2/1 (rise/run) you go down two and to the right once or up two and to the left once, it doesn't matter which. Another point can be placed at (1,-7) or (-3,-1), it still doesn't matter which.
Then you can draw a line connecting the two points.
I hope this helps :)
Let me know if you need further explanation
Step-by-step explanation:
1/5 + 3/5 = 3/5 + 1/5 = 4/5
I am not sure what your teacher wants to see on the right side of the second equation.
it would be the whole equation again :
4/5 = 1/5 + 3/5 = 3/5 + 1/5
