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Colt1911 [192]
3 years ago
9

Data Set 1

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
7 0

Answer:

Data Set 1: 20

Data Set 2: 25

Step-by-step explanation:

Range = maximum value - minimum value

Range of Data Set 1:

Maximum value of data set 1 = 40

Minimum value of data set 1 = 20

Range of Data Set 1 = 40 - 20 = 20

Range of Data Set 2:

Maximum value of data set 2 = 60

Minimum value of data set 2 = 35

Range of Data Set 2 = 60 - 35 = 25

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It will be 1062000 because....
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3 years ago
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0
2 years ago
Rearrange the formula d = m/ v for v.
RUDIKE [14]
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4 0
3 years ago
Read 2 more answers
Solve the compound inequality,
Feliz [49]

Answer:

\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6

(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4

\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)

7 0
3 years ago
A box of cookies contains 4 chocolate and 6 butter cookies. Miguel randomly selects a cookie and eats it. Then he randomly selec
laila [671]

Answer:

The probability of the flavor of the second cookie is always going to be dependent on the first one eaten.

Step-by-step explanation:

Since the number of the type of cookies left depends on the first cookie taken out.

This is better explained with an example:

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The two scenarios give us different probabilities for the second cookie. This means that the probability of the second cookie depends on the first cookie eaten.

7 0
3 years ago
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