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Shtirlitz [24]
3 years ago
9

In a normal distribution, the mean is ____ it's mean and mode

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0
In a normal distribution, the median (I think you meant to say) is equal to the mean and mode.
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12 people will share 3 pounds of mixed nuts. If they share equally, what fraction of a pound will each person get? Write your an
uysha [10]
They would each get 1/4 of a pound (3 divided by 12)
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3 years ago
A force of 8 N makes an angle of π/4 radian with the y-axis, pointing to the right. The force acts against the movement of an ob
Grace [21]

Answer:

a) F= 4\sqrt{2} i + 4\sqrt{2} j

b) Θ=11.3

c) The work done is 20\sqrt{2}

Step-by-step explanation:

a) ||F||=8, α=π/4

Fx=||F||·sin(π/4)=8·\frac{\sqrt{2}}{2}

Fy=||F||·cos(π/4)=8·\frac{\sqrt{2}}{2}

F=Fx i + Fy j = 4\sqrt{2} i + 4\sqrt{2} j

b) We can find the value of Θ using the equation:

cos(Θ)=\frac{F.D}{||F||||D||}

where:

D= 3 i + 2 j

F=4\sqrt{2} i + 4\sqrt{2} j

The dot product is defined as the sum of the products of the components of each vector as:

F · D= (4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}

||F||= 8

||D||= \sqrt{3^2+2^2} =\sqrt{13}

Hence:

Θ=arccos(\frac{20\sqrt{2} }{8\sqrt{13} })

Θ=arccos(0.981)

Θ= 11.3°

c) Work is equal to:

F · D= (4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}=28.3

Other way of obtainig the work is:

||F||||D||cos(Θ)

where:

||F||= 8

||D||= \sqrt{3^2+2^2} =\sqrt{13}

Θ=11.3°

So,  ||F||||D||cos(Θ)=8×\sqrt{13}×cos(11.3°)=28.3

3 0
3 years ago
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Tcecarenko [31]
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Find the variable: n/14=3
Lyrx [107]

Answer:

n=42

Step-by-step explanation:

8 0
3 years ago
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7
astraxan [27]

Answer    g

Step-by-step explanation:

g

3 0
2 years ago
Read 2 more answers
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