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Arisa [49]
3 years ago
10

A square with a side length of 2 units is dilated in a coordinate plane using the origin as the center of dilation. The resultin

g square has a side length of 16 units. Determine the scale factor used to create this dilation

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

2.5

Step-by-step explanation:

It is correct trust me.

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C= (F-32)*5/9 :) this is the formula 
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3 years ago
The initial quantity at T= 0 is 1000z the quantity grows by a factor 3%. What is the quantity at T=5?
fgiga [73]

Answer:

1,159

Step-by-step explanation:

1000*(1.03) = 1159.274 at t = 5

8 0
3 years ago
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were​ born, a
Bas_tet [7]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

b)Yes, the proportion of girls is significantly different from 0.5.

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 interval 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}.

For this problem, we have that:

In the study 340 babies were​ born, and 289 of them were girls. This means that n = 340, \pi = \frac{289}{340} = 0.85

Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born.

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 - 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.80

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 + 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.90

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

Does the method appear to be ​effective?

b)Yes, the proportion of girls is significantly different from 0.5.

4 0
3 years ago
The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter
il63 [147K]
<span>Choices: 30 units ; 20 units ; 15 units ;  7.5 units

Given:
perimeter = 30 units
scale factor = 0.5

30 units * 0.50 = 15 units

The perimeter of the resulting triangle is 15 units.</span>
6 0
3 years ago
(x+1)(x+8)=<br><br><br> can somebody help me on this
goblinko [34]
X^2+8x+x+8 simplifies to x^2+9x+8
8 0
3 years ago
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