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sukhopar [10]
3 years ago
10

Angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I

Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

photoshop1234 [79]3 years ago
4 0

Answer:

angle I = 42 degree

Step-by-step explanation:

In complementary angles sum of two angles ia always 90 degree.

angle I +angle N=90 degree (since they are complementary)

substitute the value of angle N

angle I + 48 = 90

angle I = 90 -48

angle I =42 degree

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azamat
9.2 i think you have to round it up and it’s 9.5
4 0
3 years ago
A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h
garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

A value X is significantly high is:

X > E(X) + 2\sqrt{V(X)}

In this problem:

p = 0.149, n = 5000

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

E(X) = np = 5000*0.149 = 745

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

6 0
3 years ago
Find the translation rule and the scale factor of the dilation that transforms Ol to Ol'.
lisov135 [29]

Answer:

  C  (x, y) -> (x + 7, y + 8); scale factor = 3

Step-by-step explanation:

The translation can be found by subtracting the coordinates of the original center from those of the center of the image. The scale factor will be the ratio of the radii.

__

<h3>translation</h3>

We note the center coordinates are I(-3, -6) and I'(4, 2). Then the translation is ...

  I' -I = (4, 2) -(-3, -6) = (4 +3, 2 +6) = (7, 8)

  (x, y) ⇒ (x +7, y +8)

<h3>scale factor</h3>

The radius of each circle can be found by counting the grid squares from the center to the circle. It works best to do this along a horizontal or vertical line.

The radius of circle I is 2; the radius of circle I' is 6. The scale factor is ...

  scale factor = 6/2 = 3

4 0
2 years ago
If k = √(49 - 12√5), then find the value of k +2
malfutka [58]

Step-by-step explanation:

k = √(49 - 12√5)

= √(45 + 4 - 2 √180)

= √45 - √4

= 3 √5 - 2.

<em>So, k + 2 = 3 √5 - 2 + 2 = 3 √5.</em>

3 0
1 year ago
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PLEASE HELP ANYONE PLEASE HELP !!!!
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1. Square

2. (0, 0), (6,3) (6,13),(-0.5,0)
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3 years ago
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