Answer:
8/20, 4/10, and 16/40
Step-by-step explanation:
40% is basically 40/100.
40/100=4/10=8/20=16/40
hope this helps!! :))
The length of AP is 14 units
Step-by-step explanation:
The centroid point of a triangle is:
- The point of intersection of the three medians of the triangle
- The centroid point divides each median into two segments at a ratio 2 : 1 from its vertex
- The length of the segment from the vertex to the centroid is
of the length of the median - The length of the segment from the centroid to the base is
of the length of the median
Look to the attached figure
In Δ ABC
∵ D is the mid-point of AB
∵ E is the mid-point of BC
∵ F is the mid-point of AC
∵ AE , BF and CD are the medians of the triangle
∵ AE , BF and CD are intersected at P
∴ P is the centroid of the triangle
- By using the rule above
∴ AP =
AE
∵ AE = 21 units
∴ AP =
× 21
∴ AP = 14 units
The length of AP is 14 units
Learn more:
You can learn more about the triangles in brainly.com/question/3358617
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Answer:
A
Step-by-step explanation:
C(x) = 200 - 7x + 0.345x^2
Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.
Range is the set of possible results for c(x), i.e. possible costs.
You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.
You can substitute some values for x to help you, for example:
x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42
10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745
The functions does not have real roots, then the costs never decrease to 0.
The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.
Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.
Since we are dealing with a proportion, it is determined by using the z-distribution that there is insufficient evidence to draw the conclusion that the proportion of all kochia plants that are resistant to glyphosate has increased because the test statistic is less than the critical value for the right-tailed test.
In this problem, we consider that:
is the proportion in 2014.
is the proportion is 2017.
<h3>What are the hypothesis tested?</h3>
- At the null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.

- At the alternative hypothesis, we test if there has been an increase, hence:

<h3>What is the distribution of the difference of sample proportions?</h3>
The proportions and standard errors are given by:

Hence, the distribution has mean and standard error given by:

<h3>What is the test statistic?</h3>
It is given by:

In which p = 0 is the value tested at the null hypothesis, hence:

<h3>What is the decision?</h3>
- Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value is of

- There is insufficient information to establish that the fraction of all kochia plants that are resistant to glyphosate has increased because the test statistic is smaller than the crucial value for the right-tailed test.
Learn More about the z-distribution here: brainly.com/question/26454209
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