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In a certain Algebra 2 class of 27 students, 18 of them play basketball and 16

Bogdan [553]

Answer:

The probability is 0.89 or 89%

Step-by-step explanation:

Probability

There are n=27 students in a certain Algebra 2 class. 18 out of them play basketball and 16 of them play baseball.

We also know 3 students play neither sport. This leaves 27-3=24 students playing sports.

The probability that a randomly chosen student plays basketball or baseball is:

$\displastyle p=\frac{24}{27}$

Simplifying:

$\displastyle p=\frac{8}{9}=0.89$

The probability is 0.89 or 89%

6 0

3 years ago

Which expression is equivalent to (6n-5)-(2n-3)? SHOW ALL WORK.

Maru [420]

Answer:

4n-2

Step-by-step explanation:

subtract 6n-2n

and then subtract 5-3

you get 4n-2

your answer will be 4n-2

8 0

3 years ago

The idea that two line segments can be added together to find the length of the entire segment is called the ________.

tensa zangetsu [6.8K]

Answer:

Segment addition postulate

Step-by-step explanation:

According to the segment addition postulate, given a line segment defined as AC then a point B is located along AC if and only if the length of the segments on the line satisfy the relation, AC = AB + BC. Therefore, whereby a line which is defined by two end points, is seen to be the sum of points between the two end points.

4 0

3 years ago

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

MAVERICK [17]

Answer:

The graph is symmetric about the x-axis only

Step-by-step explanation:

* Lets study the limacon curve

- Equations of the form:

# r = a + b sin θ

# r = a – b sin θ

# r = a + b cos θ

# r = a – b cos θ

All will produce limacons.

* Lets examine what happens for various values of a and b.

- When the value of a is less than the value of b, the graph is

a limacon with and inner loop.

- When the value of a is greater than the value of b, the graph is

a dimpled limacon.

- When the value of a is greater than or equal to the value of 2b,

the graph is a convex limacon.

- When the value of a equals the value of b, the graph is a special

case of the limacon. It is called a cardioid.

* Notice that, in each of the graphs of the liamcons, changing

from sine to cosine does not affect the shape of the graph just its

orientation.

- Equations using sine will be symmetric to the vertical axis

- Equations using cosine are symmetric to the horizontal axis.

∵ r = -2 + 3 cos Ф

- from the notes up the equation of cosine is symmetric to

the horizontal axis

∴ The graph is symmetric about the x-axis only

3 0

3 years ago

Find the area and perimeter for each polygon.

Radda [10]

Answer:

5. P = 23 m

A = 15 $m^{2}$

6. P = 24.4 in

A = 15.3 $in^{2}$

Step-by-step explanation:

Area formula of a triangle is A = 1/2 bh

Area formula of a parallelogram is A = bh

5. The height of a triangle is perpendicular to the base.

A = 1/2 * 10 * 3

A = 15 $m^{2}$

6. The height of the parallelogram is also perpendicular to the base.

A = 9 * 1.7

A = 15.3 $in^{2}$

Perimeter means you add all the side lengths.

5. The side lengths are 5m, 8m, and 10m. Adding those together, you get 23m.

6. A parallelogram has congruent opposite sides. That means your side lengths are 9 in, 3.2 in, 9 in and 3.2 in. Adding those together, you get 24.4 in.

3 0

2 years ago