GD is a diameter of circle C. What is mArc G E B? 90° 180° 219° 231°

Xy+(4(20))>x-5y(2+9-7)

prohojiy [21]

I'll solve for y xy+(4(20))>x-5y(2+9-7)

xy+4(20)>x-5y(2+9-7)

xy+4(20)>x-5y(4)

xy+4(20)>x-20y

xy+80>x-20y

xy+20y+80>x

y(x+20)>-80+x

y>(-80+x)/(x+20)

3 0

2 years ago

Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 107 homicides. After

leonid [27]

Answer:

P(0) = 0.6825

P(1) = 0.2607

Step-by-step explanation:

From the given information, the number of homicide is 107 and the total number of homicides per city –year is 280.

Let us denote the number of homicides per city-year as X.

The mean value, X is calculated as:

\begin{array}{c}\\{\rm{Mean}} = \frac{{107}}{{280}}\\\\ = 0.382\\\end{array}

Mean= 107/280 = 0.382

The mean number of homicides per city- year \left( {\lambda = \mu } \right)(λ=μ) is 0.382.

a. The probability that zero homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}

P(X=0) = e −0.382 (0.382)⁰/1

= (0.6825)(1) /1

P(X=0) = 0.6825

Thus, the probability that zero homicides P(0) is 0.6825.

b. The probability that one homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}

P(X=1) = e −0.382 (0.382)¹/1

= (0.6825)(0.382)/1

P(X=1) = 0.2607

Thus, the probability that zero homicides P(0) is 0.2607.

5 0

2 years ago

Thomas wants to estimate the mean height of students attending his college. He records the heights of 25 randomly selected stude

Nadya [2.5K]

Answer: B - The mean height of all the students of the college.

Explanation:

In statistics, the concept of parameter refers to the value that you want to know about a population to characterize it, for example, mean height, mean age, etc.

In this case, the value that you want to know about the population of the college is the mean height of its students, so the correct option is B.

The following concepts are used in statistics that can be applied to the given example:

- Population (all students of the university).

- Parameter (mean height of university students).

- Sample (the 25 randomly selected students).

- Elements (the heights of the selected students).

- Estimator (average height of randomly selected students).

7 0

2 years ago

Estimate the indicated probability by using normal distribution as an approximation to the binomial distribution. Estimate P(6)

lianna [129]

Answer:

P(6) = 0.6217

Step-by-step explanation:

To find P(6), which is the probability of getting a 6 or less, we will need to first calculate two things: the mean of the sample (also known as the "expected value") and the standard deviation of the sample.

Mean = np

Here, "n" is the sample size and "p" is the probability of the outcome of interest, which could be getting a heads when a tossing a coin, for instanc

So, Mean = n × p = (18) ×(0.30) = 5.4

Next we we will find the standard deviation:

Standard Deviation = $\sqrt{npq}$

n = 18 and p = 0.3 "q" is simply the probability of the other possible outcome (maybe getting a tails when flipping a coin), so q = 1 - p

Standard Deviation = $\sqrt{npq} = \sqrt{(18)(0.3)(0.7)}$

= 1.944

Now calculate the Z score for 6 successes.

Z = ( of successes we're interested in - Mean) ÷ (Standard Deviation)

=(6-5.4) ÷ (1.944) = 0.309

we have our Z-score, we look on the normal distribution and find the area of the curve to the left of a Z value of 0.309. This is basically adding up all of the possibilities for getting less than or equal to 6 successes. So, we get 0.6217.

5 0

2 years ago

What are three collinear points on line l?

Jet001 [13]

Points A, F, and G are three collinear points on line l.

$\boxed{ \ The \ Answer \ is \ B \ }$

<h3>Further explanation </h3>

Let us consider the definition of collinear.

Collinear

Collinear points represent points that lie on a straight line. Any two points are always collinear because we can constantly connect them with a straight line. A collinear relationship can occur from three points or more, but they don’t have to be.

Noncollinear

Noncollinear points represent the points that do not lie in a similar straight line.

Given that lines k, l, and m with points A, B, C, D, F, and G. The logical conclusions that can be taken correctly based on the attached picture are as follows:

At line k, points A and B are collinear.
At line l, points A, F, and G are collinear.
At line m, points B and F are collinear.
Point A is placed at line k and line l.
Point B is placed at line k and line m.
Point F is located at line l and line m.
Points C and D are not located on any line.

Hence, the specific answer to this key question is undoubted, i.e., points A, F, and G.

All points can, also, be said to be coplanar. This is because the three lines intersect with each other and lie on a planar surface.

Coplanar

Coplanar points represent a group of points that lie on the same plane, i.e. a planar surface that extends without end in all directions. Any two or three points are always coplanar, but four or more points might or might not be coplanar.

<h3>Learn more </h3>

Determine which points are coplanar and noncollinear brainly.com/question/4165000
Finding a set of points is not coplanar in a pyramid brainly.com/question/2269323
Determining the best description of connection lines AB and CD on given rectangular prism ABCD brainly.com/question/4910705

Keywords: what are, three collinear points A, F, and G, noncollinear, located, similar straight line, definition, represents, relationship, coplanar

9 0

2 years ago

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