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Nadusha1986
3 months ago
15

A camera is selling for $7.50 off the regular price. It was marked down 15%. A student used the equation:

Mathematics
2 answers:
babunello [11.8K]3 months ago
8 0

Answer:

A camera is discounted by $7.50 off its original price and had a 15% markdown.

Let the original price be represented as x

The solution proceeds as follows:

x-0.15x=7.50

=> 0.85x=7.50

=> x = 8.82

The actual original price comes to $8.82.

A student used the equation:

15(7.5) = Original price

and calculated the camera's original price to be $112.50.

This calculation was incorrect. The student mistakenly calculated 15% of the selling price instead of the original price.

He should have calculated 15% of the original price to equal the selling price.

lawyer [12.5K]3 months ago
4 0

Answer:

The student should have divided the amount after the discount by the percentage expressed as a decimal.

Step-by-step explanation:

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Focus groups of 15 people are randomly selected to discuss products of the Yummy Company. It is determined that the mean number
babunello [11817]

Answer:

Indeed, having 15 people recognize the brand would be considered unusual, as it lies beyond 2 standard deviations from the average.

Step-by-step explanation:

Examine the provided data.

The average recognition rate for the Yummy brand name among groups is 12.5, with a standard deviation of 0.58.

Mean = μ= 12.5  

σ = 0.58

n = 15

\mu\pm2\sigma=12.5\pm 2(0.58)\\\mu\pm2\sigma=12.5\pm1.16\\\mu\pm2\sigma=[11.34, 13.66]

Thus, having 15 people recognize the brand would indeed be unusual, as it is outside of the 2 standard deviations from the mean.

6 0
2 months ago
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Inessa [12570]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

2x,2y,2z

Objętość = 8xyz

Maksymalizuj objętość przy założeniu

x^2+y^2+z^2 =1

tj. g(x,y,z) = x^2+y^2+z^2 -1=0

Użyj mnożników Lagrange'a, mamy

∇f(x,y,z)=λ∇g(x,y,z)przy maksimum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dzieląc otrzymujemy

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Podobnie y^2=z^2

Zatem otrzymujemy 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Stąd wymiary to

(2x,2y,2z)

<pzatem wymiary="" to="">

\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )

</pzatem>
3 0
3 months ago
A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?
lawyer [12517]

Response:

(A)

A symmetrical outcome occurs when both figures are identical.

The half section of the illustration is tilted downward; therefore, to achieve symmetry, we must shift the figure upwards.

Then, we reflect upon the inverted image.

Thus, we achieve reflectional and translational symmetry.

7 0
2 months ago
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Una cartulina de 20 pulgadas de ancho por 32 pulgadas de alto será utilizada para colocar un cartel. El margen en la parte super
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Response:

could I receive an English version

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