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olganol [36]
1 year ago
15

Bobby collected data from his 8 friends on how many movies they saw over the summer. Here is his data set. {2, 2, 3, 4, 5, 5, 5,

10} What is the mean of the data? Round all answers to the nearest tenths place.
Mathematics
1 answer:
OLEGan [10]1 year ago
8 0

Answer:

4.5

Step-by-step explanation:

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Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for t
nydimaria [60]

Let

l------> the length side of the rectangle

w----> the width side of a rectangle

b----> the base of the triangle

h----> the height of the triangle

we know that

the area of the yard is equal to

A=lw+0.5bh

Solve for b------> ( that means clear variable b)

Subtract lw both sides

A-lw=lw+0.5bh-lw

A-lw=0.5bh

Divide by 0.5h both sides

(A-lw)/(0.5h)=0.5bh/(0.5h)

b=(A-lw)/(0.5h)

therefore

<u>the answer is the option B</u>

The quantity A minus l times w all divided by 0.5 times h


8 0
2 years ago
Read 2 more answers
For the first year of his car insurance policy, Tom pays $77 per month. Tom's payments are reduced to $65 per month in the secon
Tcecarenko [31]
77/65=1.18
round 1.18 to 1.2
6 0
1 year ago
Read 2 more answers
If (a^3+27)=(a+3)(a^2+ma+9) then m equals
Ronch [10]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

7 0
2 years ago
Sheila places a 54 square inch photo behind a 12-inch-by-12-inch piece of matting.
nata0808 [166]
The are of a rectangle is calculated by multiplying the length and the width of the shape. First, we determine the dimensions of this figure. We do as follows:

Width = 12 - 2x - 2x = 12 - 4x
Length = 12 - x - x = 12 - 2x

Area = (Length)(Width)
Area = (12 - 2x )(12-2x)
3 0
2 years ago
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
1 year ago
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