Y=7.5x, where y represents total money spent for tickets. Is it proportional or non-proportional.

Nine percent of americans say they are well informed about politics in comparison to most people. You randomly sample 200 americ

Arada [10]

Answer:

Step-by-step explanation:

Using normal distribution

z = (x - mean) / standard deviation

Nine percent of americans say they are well informed about politics in comparison to most people.

That means probability of success is p =9/100 = 0.09,

then probability of failure is

q = 1-p =1 -0.09= 0.91

n = number of sample = 200

x=(8% of 200) = 0.08×200 =16

mean = np = 200×0.09= 18

Standard deviation = npq = 200×0.09×0.91= 16.38

We are looking for the probability that less than 8% of the people sampled will answer yes to the question

8% of 200 = 16

P (x greater than 16) =P(x lesser than/equal to 15)

z = 15-18 /16.38 = -3/16.38

= -0.18

Looking at the normal distribution table

P(x greater than 16) = 0.5714

5 0

2 years ago

Area and Circumference of Circles

Thepotemich [5.8K]

Pi( $\pi$ ) is the ratio of circumference to diameter for any circle.

Perimeter is the distance around a circle.

Circumference of circle $C = \pi d$ .

Perimeter of circle $= 2 \pi r$

What is circle ?

A circle is a spherical shape without boundaries or edges.

A circle is a closed, curved object with two dimensions in geometry.

Consider two small arcs AB and CD of two circles of radii x and y units, both of which make an angle of measure θ at the centers P and Q respectively.

For smaller values of θ, the arc length AB is almost equal to the length of the line segment $\bar{AB}$ . Similarly, arc CD ≅ $\bar{CD}$ .

Using the SAS rule of triangle similarity, we can say that APB and CQD are similar triangles because their angles are the same and their ratios are AP: PB = CQ: QD = 1: 1. So, it stands to reason that AB: AP = CD: CQ.

Circumference = $\pi \times$ diameter or circumference = 2 $\pi \times$ radius if this constant equals some value.