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Effectus [21]
3 years ago
12

Finding the proportion using the figure below

Mathematics
1 answer:
Serjik [45]3 years ago
5 0

The ratio of the figure is  \frac{a}{j} =\frac{c}{k} .

Step-by-step explanation:

Step 1:

The given figure of two triangles. A smaller triangle and a larger triangle. The smaller triangle has sides measuring a and c. The second and larger triangle has sides measuring (a + b) and (c + d).

From the given diagram, we have

j = a+b and k=c+d.

So the second larger triangle has sides measuring j and k.

Step 2:

If a ratio is given, both sides of the ratio must have the corresponding side lengths of the given triangles.

On the left side of the ratio, we have the terms a and j, which are the side lengths of the smaller and larger triangles respectively.

Similarly, the right side has a ratio of c and an unknown term. The term c is the length of the smaller triangle whereas k is the length of the larger triangle.

So the ratio of the figure is  \frac{a}{j} =\frac{c}{k} .

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Answer:

Enter the equations.

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Add or subtract the two equations to eliminate that variable .

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3 years ago
Which of the following describes the square root of 41. 5,6 6,7 20,21 40,42
cestrela7 [59]

Answer:

6,7

Step-by-step explanation:

the squre root of 41 is 6.403

3 0
3 years ago
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Answer:

For every 15 students scoring in the 60's there were 9 students scoring in the 70's.

Step-by-step explanation:

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5 0
3 years ago
Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives
maks197457 [2]

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that n = 400, \pi = \frac{280}{400} = 0.7

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

Give the margin of error for the 90% confidence interval.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.645\sqrt{\frac{0.7*0.3}{400}}

M = 0.038

The margin of error for the 90% confidence interval is of 0.038.

8 0
3 years ago
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