Answer:
The sample data confirm the geneticist's prediction that 75% of the offspring from this cross will have red flowers.
Step-by-step explanation:
A Chi-square goodness of fit test can be used to test the claim made by the geneticist.
The hypothesis is defined as:
<em>H₀</em>: There is no difference between the observed and expected value,i.e. <em>p</em>₁ < 0.75.
<em>Hₐ</em>: There is a significant difference between the observed and expected value, i.e. <em>p</em>₁ > 0.75.
The test statistic is:
Consider the tables attached below.
The value of the test statistic is:
The critical value is:
*Use a Chi-square table.
The critical region is:
The test statistic value of 25.8133 lies in the critical region.
The null hypothesis is rejected at 1% level of significance.
<u>Conclusion</u>:
As the null hypothesis is rejected it can be concluded that 75% of the offspring from this cross will have red flowers.
The closed formula for <span>an = an-1 – n will be found using the formula for arithmetic sequence given by:
an=a+d(n-1)
where
a=first term
d=common difference
n=number of terms
From the formula given:
a=4
d=n
thus the formula will be:
an=a+n(n-1)
an=4+n(n-1)
</span>
For the question in the picture: cross multiply.
X1 X2
---- = ----- = X2X3=X1X4
X3 X4
Step-by-step explanation:
- 5x²-45=0
- 5x²=45
- x²=9
- x=√9
- x=3
hope it helps.
The surface area of the composite figure is 144 square cm after calculating separately.
<h3>What is a triangular prism?</h3>
When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a composite figure made up of a triangular prism and a cuboid
First we calculate the surface area of the triangular prism:
= 2(area of one triangle) + area of three rectangles
= 2[(1/2)6×4] + 3×5 + 3×5
= 24 + 15 + 15
= 54 square cm
Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6
= 2(12 + 24) + 18
= 72 + 18 = 90 square cm
Total surface area of figure = 54+ 90 = 144 square cm
Thus, the surface area of the composite figure is 144 square cm after calculating separately.
Learn more about triangular prisms here:
brainly.com/question/16909441
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