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aniked [119]
2 years ago
11

Diana sold 336 muffins at the bake sale.Bob sold 287 muffins.Bob estimates that he sold 50 fewer muffins than Diana.how did he e

stimate? Explain.
Mathematics
2 answers:
Jet001 [13]2 years ago
7 0
He rounded 336 to 340 and 287 to 290. Then he subtracted 290 from 340, that's how he got 50.
malfutka [58]2 years ago
3 0

Step-by-step explanation:

Since we have given that

Number of muffins Diana sold at the bake sale = 336

Number of muffins Bob sold at the bake sale = 287

Now, here we are using the method of estimation i.e. rounding the integers to nearest ones.

By estimation, we get

Number of muffins Diana sold at the bake sale = 340

Number of muffins Bob sold at the bake sale = 290

So,

Difference between them is given by

340-290\\=50

Hence, Bob sold 50 fewer muffins than Diana.

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Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° tria
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Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is \sqrt{2} times the length of each leg.

Proof:

\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a^2 + b^2 = c^2

Since a=b in an isosceles triangle:

a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2}  \\\\c=a\sqrt{2} \\

Therefore, the next step is to Determine the principal square root of both sides of the equation.

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2 years ago
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Three classes of school children are selling tickets to the school play. the number of tickets sold by these classes, and the nu
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A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must
svet-max [94.6K]

Answer:

P(working product) = .99*.99*.96*.96 = .0.903

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For the product to work, all four probabilities must come to pass, so that

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P(Part-1) = 0.96

P(Part-2) = 0.96

P(Part-3) = 0.99

P(Part-4) = 0.99

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P (Working Product) = 0.96*0.96*0.96*0.99*0.99

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2 years ago
A flat circular plate has the shape of the region x squared plus y squared less than or equals 1x2+y2≤1. the​ plate, including t
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You're looking for the extreme values of x^2+3y^2+13x subject to the constraint x^2+y^2\le1.

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so there is only one critical point at \left(-\dfrac{13}2,0\right). But this point does not fall in the region x^2+y^2\le1. There are no extreme values in the region of interest, so we check the boundary.

Parameterize the boundary of x^2+y^2\le1 by

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y=\sin u

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t(x,y)=t(\cos u,\sin u)=T(u)

T(u)=\cos^2u+3\sin^2u+13\cos u

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T(u) has critical points where T'(u)=0:

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(1)\quad\sin u=0\implies u=0,u=\pi

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At these critical points, we have temperatures of

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