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Wittaler [7]
3 years ago
8

A sample is drawn from a well-shuffled deck of cards that contains 13 hearts, 13 clubs, 13 spades, and 13 diamonds. What is the

best example of a non-representative sample?
A. A sample of 10 cards that includes 3 hearts, 3 clubs, 2 spades, and 2 diamonds.

B. A sample of 10 cards that includes 10 hearts.

C. A sample of 10 cards that include 3 hearts, 2 clubs, 2 spades, and 3 diamonds.

D. A sample of 10 cards that includes 2 hearts, 2 clubs, 2 spades, and 4 diamonds.
Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer : B. A sample of 10 cards that includes 10 hearts.

A representative sample is a small quantity that is similar to the large quantity.

It means small quantity should reflect the larger quantity.

For example in a classroom of 25 students having 10 girls and 15 boys.

The representative sample includes 4 students : 2 boys and 2 girls

Given :

A sample is drawn from a well-shuffled deck of cards that contains 13 hearts, 13 clubs, 13 spades, and 13 diamonds.

Options A, C and D reflects the given sample 13 hearts, 13 clubs, 13 spades, and 13 diamonds.

Option B includes only 10 hearts. clubs, spades and diamonds are not included. So this is the best example for non - representative sample.

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Answer:

4/11

Step-by-step explanation:

There are 4 midfielders on the team out of 11.

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Lines sand tare perpendicular. If the slope of line sis 5, what is the slope of<br> line t?
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  -1/5

Step-by-step explanation:

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The slope of line t is the opposite reciprocal of the slope of line s:

  slope of t = -1/(slope of s)

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Jennifer mixes an alloy containing 14% gold with an alloy containing 24% gold to make 100 pounds of an alloy with 18% gold. How
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Administration officials say the government has no plans for a new plan for a new president in a long way for the national security to meet the national government for a new plan to stop the government and government officials in a new plan for the president president in a new plan for the president of the country for a new plan for the president of national president in a new national government in a new plan to halt national security and plan for the national security plan to protest against the president and national president of president hun president and national security adviser to the new plan
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A football is thrown from the top of the stands, 50 feet above the ground at an initial velocity of 62 ft/sec and at an angle of
Anvisha [2.4K]

a. i. The parametric equation for the horizontal movement is x = 43.84t

ii. The parametric equation for the vertical movement is y = 50 + 43.84t

b. the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)

<h2>a. Parametric equations</h2>

A parametric equation is an equation that defines a set of quantities a functions of one or more independent variables called parameters.

<h3>i. Parametric equation for the horizontal movement</h3>

The parametric equation for the horizontal movement is x = 43.84t

Since

  • the angle of elevation is Ф = 45° and
  • the initial velocity, v = 62 ft/s,

the horizontal component of the velocity is v' = vcosФ.

So, the horizontal distance the football moves in time, t is x = vcosФt

= vtcosФ

= 62tcos45°

= 62t × 0.7071

= 43.84t

So, the parametric equation for the horizontal movement is x = 43.84t

<h3>ii Parametric equation for the vertical movement</h3>

The parametric equation for the vertical movement is y = 50 + 43.84t

Also, since

  • the angle of elevation is Ф = 45° and
  • the initial velocity, v = 62 ft/s,

the vertical component of the velocity is v" = vsinФ.

Since the football is initially at a height of h = 50 feet, the vertical distance the football moves in time, t relative to the ground is y = 50 + vsinФt

= 50 + vtcosФ

= 50 + 62tsin45°

= 50 + 62t × 0.7071

= 50 + 43.84t

<h3>b. Location of football at maximum height relative to starting point</h3>

The location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)

Since the football reaches maximum height at t = 1.37 s

The x coordinate of its location at maximum height is gotten by substituting t = 1.37 into x = 48.84t

So, x = 43.84t

x = 43.84 × 1.37

x = 60.0608

x ≅ 60.1 ft

The y coordinate of the football's location at maximum height relative to the ground is y = 50 + 48.84t

The y coordinate of the football's location at maximum height relative to the starting point is y - 50 = 48.84t

So,  y - 50 = 48.84t

y - 50 = 43.84 × 1.37

y - 50 = 60.0608

y - 50 ≅ 60.1 ft

So, the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)

Learn ore about parametric equations here:

brainly.com/question/8674159

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