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3 years ago

Describe a process used to draw simple random sample of size 10 from a group of 87 people.

Mathematics

1 answer:

Alina [70]3 years ago

5 0

to pick randomly uou could put peoples name in a hat and pick the amount needed

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Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions

liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0

3 years ago

What’s the slope of the line of (5,2) and (8,7)

riadik2000 [5.3K]

Answer:

The Answer is

5/3

6 0

3 years ago

what is the 4 called

IrinaVladis [17]

Answer:

The Index

Step-by-step explanation:

A radical expression is composed of three parts:

The Radicand - The number or term under the horizontal bar of the radical symbol.

Radical Symbol - The Radical Symbol √

Index - The number near the "check" part of the radical symbol.

In the given expression, 4 is the index. We are supposed to find the 4th root of x to the third power.

Hope this helps.

6 0

3 years ago

Let p and q represent the following simple statements:

11111nata11111 [884]

Answer: $p \ \wedge \ q$

The upside down V symbol is known as a wedge. It represents a conjunction which is informally the "and". In other words, $p \ \wedge \ q = \text{p and q}$

Note how we can replace p with "the taxes are high" and replace q with "the job pays well" to arrive at the overall compound statement "The taxes are high and the job pays well".

Some logic textbooks will use an ampersand symbol & to be used in place of a wedge. It will depend on the notation that they, or your teacher, has set up.

6 0

3 years ago

Can someone help me with my math<br> −36+x<8

Katena32 [7]

Answer:

x<44

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers