Will the perimeter of a

A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr

alex41 [277]

Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7

7 0

3 years ago

On the road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. W

Oksana_A [137]

Equation

A = (b1 + b2)*h /2

Givens

b1 = 5 feet

b2 = 7 feet

h = 3 feet

Sub and solve

Area = (5 + 7)*3/2

Area = 12*3/2

Area = 36/2

Area = 18 Square feet.

7 0

3 years ago

Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to

amid [387]

parallel means "same slope (m)"

m = $\frac{y2 - y1}{x2 - x1}$ = $\frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}$

Now, input the point (0, 0) and the slope $(\frac{-5}{3})$ into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 0 = $\frac{-5}{3}$ (x - 0)

y = $\frac{-5}{3}x$

3y = -5x multiplied both sides by 3

0 = -5x - 3y subtracted 3y from both sides

Answer: C

7 0

3 years ago

What are a) the ratio of the perimeters and b) the ratio of the ratio of the areas of the larger figure to the smaller figure

vfiekz [6]

Assuming that the figures given are square such that the scale factor between them is equal to 28/8 which can be further simplified into 7/2. The ratio of the perimeter is also equal to this value, 7/2. However, the ratio of the areas is equal to the square of this value giving us an answer of 49/4.

8 0

3 years ago

Read 2 more answers

Explain how to determine if the following relation is a function.

solong [7]

Answer:

The given relation is not a function

Step-by-step explanation:

The relation becomes a function if every x-value has only one y-value

A function is a relation in which each input (x) has only one output (y)

To test the graph is a function or not, draw a vertical line intersects the graph in different positions, if the line cuts the graph in just one point in all positions, then the graph represents a function.

From the given figure

∵ The endpoint of the diameter of the semi-circle are (0, -2), (0, 2)

→ The x-coordinate = 0 has two values of y = -2, 2

∴ At x = 0, y = -2 and 2

∴ Not every x has only one y

∴ The given relation is not a function

If you draw a vertical line intersects the semi-circle in different positions, it will intersect the semi-circle in 2 points, So the graph does not represent a function

7 0

3 years ago