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3 years ago

Find EF and FD.

Mathematics

1 answer:

vichka [17]3 years ago

6 0

9514 1404 393

Answer:

EF = 13.1

FD = 35.3

Step-by-step explanation:

The distance between two points on a number line is the positive difference between their coordinates.

EF = F - E = 19 -5.9

EF = 13.1

FD = F - D = 19 -(-16.3) = 19 +16.3

FD = 35.3

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An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 23 home

yanalaym [24]

Using the t-distribution, it is found that:

a. The margin of error is of 4.7 homes.

b. The 98% confidence interval for the population mean is (19.3, 28.7).

The information given in the text is:

Sample mean of $\overline{x} = 24$ .
Sample standard deviation of $s = 9$ .
Sample size of $n = 23$ .

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The confidence interval is:

$\overline{x} \pm M$

The margin of error is:

$M = t\frac{s}{\sqrt{n}}$

Item a:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 23 - 1 = 22 df, is t = 2.508.

Then, the margin of error is:

$M = t\frac{s}{\sqrt{n}} = 2.508\frac{9}{\sqrt{23}} = 4.7$

Item b:

The interval is:

$\overline{x} - M = 24 - 4.7 = 19.3$

$\overline{x} + M = 24 + 4.7 = 28.7$

The 98% confidence interval for the population mean is (19.3, 28.7).

A similar problem is given at brainly.com/question/15180581

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2 years ago

Which is a possible measure of DCA in the triangle below?

krok68 [10]

Answer:

70°

Step-by-step explanation:

The total angle in a triangle is 180°. The total angle in a straight line is 180°. From the image attached, the ∠DCA must be greater than 45° because ∠BCA is greater than 90°. This means that ∠DCA is not 36° or 38° or 40° but it is 70°.

Therefore ∠DCA = 70°.

∠BCA + ∠DCA = 180° (angle on a straight line)

∠BCA = 180 - ∠DCA = 180 - 70 = 110°

∠BCA + ∠BAC + 40 = 180° (angle in a triangle)

∠BAC = 180 - 110 - 40 = 30°