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baherus [9]
3 years ago
10

A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey

Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

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Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.
noname [10]

Answer:

two real, unequal  roots

Step-by-step explanation:

This is a quadratic equation.  The quadratic formula can be used to determine how many and what kind of roots may exist:  

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0.  In this case, a = 1, b = -2 and c  = -8, so that the discriminant value is

(-2)^2 - 4(1)(-8), or 4 + 32  =  36.

Because the discriminant is real and positive, we know for certain that we have two real, unequal  roots

3 0
3 years ago
A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola y equals = 100 100 minus −x squa
masha68 [24]

Answer:

Step-by-step explanation:

Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

y=100-x^2

This parabola has vertex at (0,100) and symmetrical about y axis.

Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.  

Hence coordinates of any rectangle are

(a,0) (-a,0), (a, 100-a^2), (-a, 100-a^2)

Length of rectangle = 2a and width = 100-a^2

Area of rectangle = lw = 2a(100-a^2)=200a-400a^3

To find max area, use derivative test.

A' = 200-800a^2\\A"=-1600a

Hence maxima when first derivative =0

i.e. when a =2

Thus we find dimensions of the rectangle are l =4 and w = 96

Maximum area = 4(96) = 384

5 0
3 years ago
What is the value of fraction 1 over 3x2 + 5.2y when x = 3 and y = 2?
Fudgin [204]
2/3x +10.4 Is the answer to this question.
4 0
3 years ago
Read 2 more answers
Alan drew several three-dimensional figures. Which of the following figures has exactly 5 faces and 5 vertices?
Marat540 [252]

Answer:

Rectangular Pyramid

Step-by-step explanation:

we know that

A <u><em>rectangular pyramid</em></u> is a three-dimensional figure that has a rectangular base and four lateral triangular faces

so

The total number of faces is 5 (one rectangular face plus four triangular faces)

The total number of vertices is 5 (four at the base and one at the apex)

5 0
3 years ago
Simplify 5a+3a ???????
luda_lava [24]

Answer:

8a

Step-by-step explanation:

group all similar terms

3a + 5a = 8a

6 0
3 years ago
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