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Harlamova29_29 [7]
3 years ago
15

Kevin and Mark took a random sample of 100 pieces of trail mix to determine the number of peanuts, raisins, and almonds in a con

tainer. If each container of trail mix is known to have 40% peanuts, 40% almonds, and 20% raisins, which sample is a better representation of the actual population?
Mathematics
2 answers:
sveta [45]3 years ago
8 0

Answer: Mark's sample is more representative.

Step-by-step explanation:

Ghella [55]3 years ago
8 0

Answer:

Marks answer is more representative

Step-by-step explanation:

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A bank loaned out $19,000, part of it at the rate of 6% per year and the rest
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U gots do 19000 * 6%

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19000 * 0.06 es $<u>1140 a YEAR</u>

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3 years ago
Write 2^3 ÷ √ 2 as a single power of 2.
USPshnik [31]

Answer:

Step-by-step explanation:

Numerator:  2^3

Denominator:  2^(1/2)

Combining these, we subtract 1/2 from 3, obtaining 2^(5/2)

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3 years ago
Write an equation for a slope of -2 And y-intercept of 7
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Y=-2x+7 That is the equation written in y=mx+b formula

4 0
3 years ago
Read 2 more answers
Use implicit differentiation to find the points where the parabola defined by x2−2xy+y2+4x−8y+20=0 has horizontal and vertical t
Komok [63]

Answer:

The parabola has a horizontal tangent line at the point (2,4)

The parabola has a vertical tangent line at the point (1,5)

Step-by-step explanation:

Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.

-To obtain horizontal tangent lines, the condition is:

\frac{dy}{dx}=0 (The slope is zero)

--To obtain vertical tangent lines, the condition is:

\frac{dy}{dx}=\frac{1}{0} (The slope is undefined, therefore the denominator is set to zero)

Derivating respect to x:

\frac{d(x^{2}-2xy+y^{2}+4x-8y+20)}{dx} = \frac{d(x^{2})}{dx}-2\frac{d(xy)}{dx}+\frac{d(y^{2})}{dx}+4\frac{dx}{dx}-8\frac{dy}{dx}+\frac{d(20)}{dx}=2x -2(y+x\frac{dy}{dx})+2y\frac{dy}{dx}+4-8\frac{dy}{dx}= 0

Solving for dy/dx:

\frac{dy}{dx}(-2x+2y-8)=-2x+2y-4\\\frac{dy}{dx}=\frac{2y-2x-4}{2y-2x-8}

Applying the first conditon (slope is zero)

\frac{2y-2x-4}{2y-2x-8}=0\\2y-2x-4=0

Solving for y (Adding 2x+4, dividing by 2)

y=x+2 (I)

Replacing (I) in the given equation:

x^{2}-2x(x+2)+(x+2)^{2}+4x-8(x+2)+20=0\\x^{2}-2x^{2}-4x+x^{2} +4x+4+4x-8x-16+20=0\\-4x+8=0\\x=2

Replacing it in (I)

y=(2)+2

y=4

Therefore, the parabola has a horizontal tangent line at the point (2,4)

Applying the second condition (slope is undefined where denominator is zero)

2y-2x-8=0

Adding 2x+8 both sides and dividing by 2:

y=x+4(II)

Replacing (II) in the given equation:

x^{2}-2x(x+4)+(x+4)^{2}+4x-8(x+4)+20=0\\x^{2}-2x^{2}-8x+x^{2}+8x+16+4x-8x-32+20=0\\-4x+4=0\\x=1

Replacing it in (II)

y=1+4

y=5

The parabola has vertical tangent lines at the point (1,5)

4 0
3 years ago
Two friends share 1/2 of a pineapple equally . What fraction of a whole pineapple does each get
lianna [129]
1/4+1/4=1/2 so the two friends get 1/4 of the pineapple. 
Hope this helps :) <span />
3 0
3 years ago
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