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Step2247 [10]
3 years ago
10

Please help, due in 1 day; which is tomorrow

Mathematics
2 answers:
MrRa [10]3 years ago
6 0
Already answered in the other one.
GrogVix [38]3 years ago
5 0
1) 360°-18°-18°-3x°-3x°=0
     6x=324°
      x=54°
2) 180°-49°-(x+3)°=0
      (x+3)°=131°
      x=128°
3) 90°-42°-4x°=0
   4x°=48°
    x=12°
4) 180°-86°-2x°=0
   2x°=94°
   x=47°
5) 360°-117°-117°-3x°-3x°=0
   6x=126°
  x=21°
6) 90°-66°-8x°=0
    8x=24°
    x=3°
7) 180°-22°-(x-5)°=0
     (x-5)°=158°
     x=163°
8)  90°-2x°-2x°=0
     4x°=90°
     x=22.5° (i don't know if you can leave it like this or you have to write it in                      another way)
9) 90°-57°-3x°=0
   3x°=33°
   x=11°
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Read the following excerpts from the New York Times (December 17, 1996) article Chance of Heart Attack Increases for Those Who S
nataly862011 [7]

Answer:

1. B

2. A

3. A

4. A

Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

p': 27/444= 0.06 ⇒ 6%

Since this value was obtained from the sample, it is an estimation of the population parameter, also called statistic.

I hope it helps!

4 0
3 years ago
Approximate the change in the volume of a sphere when its radius changes from r = 30 ft to r=10.1 ft [v(r)=4/3Ï€r^3]. When r cha
ella [17]

Answer: ∆V for r = 10.1 to 10ft

∆V = 40πft^3 = 125.7ft^3

Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________

[v(r)=4/3Ï€r^3].

Step-by-step explanation:

Volume of a sphere is given by;

V = 4/3πr^3

Where r is the radius.

Change in Volume with respect to change in radius of a sphere is given by;

dV/dr = 4πr^2

V'(r) = 4πr^2

V'(10) = 400π

V'(10.1) - V'(10) ~= 0.1(400π) = 40π

Therefore change in Volume from r = 10 to 10.1 is

= 40πft^3

Of by direct substitution

∆V = 4/3π(R^3 - r^3)

Where R = 10.1ft and r = 10ft

∆V = 4/3π(10.1^3 - 10^3)

∆V = 40.4π ~= 40πft^3

And for R = 30ft to r = 10.1ft

∆V = 4/3π(30^3 - 10.1^3)

∆V = 34626.3πft^3

3 0
4 years ago
In Triangle A B C, what is the value of x?
Nadusha1986 [10]

Answer:

x = 70

Step-by-step explanation:

180 - 112 = 68

2x + 2x + 12 + 68 = 360

4x + 80 = 360

4x = 360 - 80

4x = 280

x = 280/4

x = 70

2x = 2*70 = 140

2x + 12 = 2*70 + 12 = 152

180 - 140 = 40

112 + 40 = 152

180 - 152 = 28

112 + 28 = 140

7 0
3 years ago
Is this graph proportional or not?
Stels [109]

Answer:

yes this graph is proportional

Step-by-step explanation:

3 0
3 years ago
a trapezoid has an area of 50 square inches. The bases are 3 inches and 7 inches. What is the height of the trapezoid.
charle [14.2K]

Answer: The answer is 10 inches.

Step-by-step explanation:  Given that the area of a trapezoid is 50 square inches and the bases are 3 inches and 7 inches. We are to find the height of the trapezoid.

We know that the area of a trapezoid with height 'h' and bases 'a' inches and 'b' inches is given by

A=\dfrac{a+b}{2}h.

In the given question,

a = 3 inches, b = 7 inches, A = 50 square inches, h = ?

Therefore,

50=\dfrac{3+7}{2}\times h\\\\\\\Rightarrow 50=5h\\\\\Rightarrow h=10.

Thus, the required height is 10 inches.  

8 0
3 years ago
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