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Delvig [45]
3 years ago
11

What is the slope of the line that passes through the points (7,-6) and (4, -6)?

Mathematics
1 answer:
MrMuchimi3 years ago
8 0
Slope = 0

Hope this helps
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What is the mean of the following set of numbers 64 65 63 66 60 65 66 68 69 66 63
BaLLatris [955]
You add all those number together then divide the number you got by how many numbers there are and that's your answer, 61.1

edit : dont listen to me I didnt see the numbers 64 and 65, im sorry

7 0
3 years ago
Read 2 more answers
Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.
sertanlavr [38]

Answer:

see explanation

Explanation:

the graph of g(x) is the graph of f(x) shifted vertically by

+ 6 units

or equivalent to a translation  

(

0

6

)

in general  

g

(

x

)

=

x

2

±

a

for  

a

>

0

shift is  

(

0

a

)

↑

⏐

⏐

⏐

⏐

for  

a

<

0

shift is  

(

0

−

a

)

⏐

⏐

⏐

⏐

↓

graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}

Step-by-step explanation:

3 0
3 years ago
Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

3 0
3 years ago
Round 1.961 to the nearest tenth.
I am Lyosha [343]

Answer:

2.0

Step-by-step explanation:

To round 1.961 to the nearest tenth consider the hundredths’ value of 1.961, which is 6 and equal or more than 5. Therefore, the tenths value of 1.961 increases by 1 to 0.

1.961 rounded to the nearest tenth = 2.0

HOPE IT HELPS

6 0
2 years ago
Read 2 more answers
A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f
Vitek1552 [10]

Answer:

P(X\cap Y\cap Z)=0.05

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert P(X)=0.28

Percentage of audience in second concert P(Y)=0.42

Percentage of audience in third concert P(Z)=0.30

Audience Percentage at at-least one concert P(X \cup Y \cup Z)=0.80

Percentage of audience at first & second concert P(X \cap Y)=0.10

Percentage of audience in first & third concert P(X \cap Z)=0.08

Percentage of audience in second & third concert P(Y\cap Z)=0.07

 

Generally the equation for probability of attending all concerts P(X\cap Y\cap Z)is mathematically given by

P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)

P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)

P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70

P(X\cap Y\cap Z)=0.05

Therefore the probability that a randomly selected audient attended all the concerts

P(X\cap Y\cap Z)=0.05

8 0
3 years ago
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