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damaskus [11]
3 years ago
11

Eduardo is building a Sandbox that has an area of 84 square feet what are the possible whole number measurements for the length

and width of the sandbox
Mathematics
2 answers:
vfiekz [6]3 years ago
5 0
The of that shape will be 7 and the witch of that shape will be 12. 7*12=84
lapo4ka [179]3 years ago
3 0
12 and 7 equal 84     21 and 4 also equal 84
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Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of pre
Maru [420]

Answer:

<em>The large  sample n = 117.07</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

<u><em>Step(ii):-</em></u>

The Marginal error is determined by

M.E = \frac{Z_{0.05} \sqrt{p(1-p)}  }{\sqrt{n} }

0.08 = \frac{2 X \sqrt{0.75(1-0.75)}  }{\sqrt{n} }

Cross multiplication , we get

\sqrt{n}  = \frac{2 X \sqrt{0.75(1-0.75)}  }{0.08 }

√n = \frac{2 X0.4330}{0.08} = 10.825

squaring on both sides , we get

n = 117.07

<u><em>Final answer:-</em></u>

<em>The large  sample n = 117.07</em>

6 0
2 years ago
Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

The gradient is

\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)

so the tangent plane's equation is

(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

(1,1,1)t+(0,0,8)=(t,t,t+8)

or x(t)=t, y(t)=t, and z(t)=t+8.

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
Math help.... Please....
garri49 [273]
First, you want to solve for the equation for this problem, would be: 
0.05N + 0.10D = 20.50 
While N = The amount of nickels, and D = The amount of dimes. 

Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287. 
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123. 
0.05N + 0.10D = 20.50 
<span>0.05(164) + 0.10(123) = 20.50 
</span><span>8.2 + 12.3 = 20.50 
</span>20.50 = 20.50 
So, there is 164 nickels, and 123 dimes for your answer. 

<em>I hope this helps! </em>

<em>~ Notorious Sovereign</em>
6 0
3 years ago
Read 2 more answers
What is the area of a parallelogram with a height of 7 feet and a base of 12 feet?
Vesna [10]

Answer:

84ft^2

Step-by-step explanation:

Relying on formula S(area) =a(base) *h(height )

3 0
3 years ago
Read 2 more answers
Emilio baked 2 pies, he shares them equally among 3 friends. how much pie does each person get?
Rasek [7]
They each get 2/3 because 2÷3=2/3 and 2/3×3 equals to 2/3+2/3+2/3. And 2+2+2=6 then you divide 6/3=6÷3 which gives the answer of 2 which then you have to add the 3 so, 2/3.
3 0
2 years ago
Read 2 more answers
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