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Dovator [93]
3 years ago
12

Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer: T'(18,36)

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

 A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of \frac{9}{5}, you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

T(10,20)

You get that the coordinates of the Image T' are the shown below:

T'=(\frac{9}{5}*10,\frac{9}{5}*20)\\\\T'=(18,36)

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In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

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

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
How much do you make annually at 15 dollars an hour 23 hours a week?
ahrayia [7]
You multiply $15 by 23 which is 345. Then you multiply 345 by 52 for there is 52 in a year. The answer $17940.
4 0
3 years ago
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if a shape is a regular pentagon with five sides, which of the following must be true? Check all that apply
julsineya [31]

Answer:

A. It has reflectional symmetry

B. It is symmetrical

D. It has five lines of symmetry

Step-by-step explanation:

we know that

A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides

Every regular polygon has reflectional symmetry

Regular polygons are symmetrical

therefore

A. It has reflectional symmetry ------> Is true

B. It is symmetrical -----> Is true

C. It has exactly one line of symmetry ----> Is false

D. It has five lines of symmetry -----> Is true

4 0
3 years ago
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Which expression is equivalent to -3 (2m - 1) - n?
Semenov [28]

Answer:

−6−m+3

Explanation

-3 (2m - 1) - n?

Distribute

−3(2−1)−

−6+3−

Rearange

−6+3−

−6−m+3

7 0
3 years ago
(GIVING BRAINLIEST!!)
AysviL [449]

Answer:

1 3/10

Step-by-step explanation:

Find the common denominator.

6/15 times 2

12/30

3/10 times 3

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Add.

12/30 + 9/30 + 18/30 = 39/30

Simplify

13/10 = 1 3/10

3 0
3 years ago
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