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Stella [2.4K]
3 years ago
10

A study of video game usage and eyesight was looked at 400 high school students. For each student who plays games, the investiga

tor found someone of the same in various aspects (same sex, age, and race, etc.) who does not play games. And he measured their eyesight to compare. What type of experimental design is this?
a. Matched pairs design. b. Randomized Block design
C. A completely randomized design
d. An Uncontrolled experiment e. Convenience design
Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

Answer:

Explanation is in a file

Step-by-step explanation:

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A parabola is given by the equation y = x2 + 4x + 4.
notsponge [240]

Answer:

the vertex of the parabola is:(-2,0)

the focus of the parabola is:(-2,\frac{1}{4})

the directrix of the parabola is:y=\frac{-1}{4}

Step-by-step explanation:

we know that for any general equation of the parabola of the type y=ax^{2} +b x+c the vertex of the parabola is given by (h,k)

where h=\frac{-b}{2 a} and k=\frac{4 a c-b^{2} }{4a}

therefore by the given data we have h=-2 and k=0

hence vertex=(-2,0)

the general equation of the parabola of the type 4 a (y-h)=(x-k)^2 ; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a

so focus is (-2,\frac{1}{4} )

now the directrix of the parabola is y=\frac{-1}{4}.




3 0
3 years ago
What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)
larisa [96]

Answer:

The vertex is the point (-1,0)

Step-by-step explanation:

we have

f(x)=3x^{2} +6x+3

we know ow that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-3=3x^{2} +6x

Factor the leading coefficient

f(x)-3=3(x^{2} +2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-3+3=3(x^{2} +2x+1)

f(x)=3(x^{2} +2x+1)

Rewrite as perfect squares

f(x)=3(x+1)^{2}

therefore

the vertex is the point (-1,0)

6 0
3 years ago
Read 2 more answers
If 2.5 inches equals 5 miles how far is three inches
EleoNora [17]
I thonk it s 6 miles not sure though :-)
5 0
3 years ago
Gemma’s mum runs the merchandise shop. She buys 60 t-shirts from the wholesaler at £13 each. She sets the selling price of each
SashulF [63]

Answer:

132.6 profit

Step-by-step explanation:

13 plus 30 percent

$16.9 times 40

$676

16.9 - 30%

$11.83 times 20

$236.6 plus 676

$912.6 - 13 × 60

$912.6 - $780

132.6 profit

3 0
3 years ago
What is the value of x inthe equation 1/5×-2/3y=30, when y=15?
taurus [48]
X in this equation is about 4 and a half i know because i used a cacisnatter
5 0
3 years ago
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