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larisa [96]
3 years ago
10

Males and females (ages 13–18) were surveyed to choose a favorite free-time activity: playing computer games, listening to music

, or watching movies/TV. The survey showed the following frequencies: Females—playing computer games: 4; music: 20; watching movies/TV: 16 Males—playing computer games: 15; music: 12; watching movies/TV: 13 Which of the following is a correct two-way frequency table for the data?
Mathematics
1 answer:
densk [106]3 years ago
7 0
On the y-axis it would be one of the activitys and then for the x-axis it would be male and female hope this helps
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14. Find the value of X round the nearest degree 12 15
satela [25.4K]

Answer:

37

Step-by-step explanation:

6 0
3 years ago
Find the product 3 • ( -7 )
Vera_Pavlovna [14]

Answer:-21

Step-by-step explanation:

3•(-7)

3 x -7=-21

4 0
3 years ago
What equation represents y=2x^2+24x+85 in vertex form
Andrej [43]
Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13
8 0
3 years ago
Suppose the supply function for a certain item is given by S(q)= (q+6)2 and the demand funtion is given by D(q)= (1000)/(q+6).
nasty-shy [4]

Answer: The equilibrium point is where; Quantity supplied = 100 and Quantity demanded = 100

Step-by-step explanation: The equilibrium point on a demand and supply graph is the point at which demand equals supply. Better put, it is the point where the demand curve intersects the supply curve.

The supply function is given as

S(q) = (q + 6)^2

The demand function is given as

D(q) = 1000/(q + 6)

The equilibrium point therefore would be derived as

(q + 6)^2 = 1000/(q + 6)

Cross multiply and you have

(q + 6)^2 x (q + 6) = 1000

(q + 6 )^3 = 1000

Add the cube root sign to both sides of the equation

q + 6 = 10

Subtract 6 from both sides of the equation

q = 4

Therefore when q = 4, supply would be

S(q) = (4 + 6)^2

S(q) = 10^2

S(q) = 100

Also when q = 4, demand would be

D(q) = 1000/(4 + 6)

D(q) = 1000/10

D(q) = 100

Hence at the point of equilibrium the quantity demanded and quantity supplied would be 100 units.

7 0
3 years ago
a quadrilateral has vertices A(11,-7), B(9,-4), C(11,-1), and D(13,4). Quadrilateral ABCD is a . If the vertix C(11,-1) were shi
Maurinko [17]

Answer:

A quadrilateral formed by the vertices A(11,-7), B(9,-4), C(11,-1), and D(13,4) forms a rhombus

If the vertex C(11,-1) were shifted to the point C'(11,1), quadrilateral ABC'D would be a kite

Step-by-step explanation:

A quadrilateral formed by the vertices A(11,-7), B(9,-4), C(11,-1), and D(13,4) forms a rhombus. A rhombus is a quadrilateral whose all sides have equal length means it has four equal sides.

If the vertex C(11,-1) were shifted to the point C'(11,1), quadrilateral ABC'D would be a kite because a kite has two pairs of equal sides. A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides which are adjacent to each other....

7 0
3 years ago
Read 2 more answers
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