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GrogVix [38]
2 years ago
6

AP statistics: What is the easiest way to understand sample size?

Mathematics
1 answer:
Sveta_85 [38]2 years ago
8 0

Answer:

Step-by-step explanation:

za/2: Divide the confidence interval by two, and look that area up in the z-table: .95 / 2 = 0.475. ...

E (margin of error): Divide the given width by 2. 6% / 2. ...

: use the given percentage. 41% = 0.41. ...

: subtract. from 1.

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Given triangle ABC with sides AB = 3x + 4 , BC = 2x + 5 , and AC = 4x , determine the values of x such that triangle ABC exists
Jlenok [28]

Answer:

  x > 1/5

Step-by-step explanation:

All of these three triangle inequalities must be satisfied:

  AB +BC > AC

  BC +CA > BA

  CA +AB > CB

___

Taking these one at a time, we have ...

  AB +BC > AC

  3x +4 + 2x +5 > 4x

  x +9 > 0 . . . . . subtract 4x

  x > -9

__

  BC +CA > BA

  2x +5 + 4x > 3x +4

  3x > -1 . . . . . . subtract 3x+5

  x > -1/3 . . . . . divide by 3

__

  CA + AB > CB

  4x + 3x +4 > 2x +5

  5x > 1 . . . . . . subtract 2x+4

  x > 1/5

___

The only values of x that satisfy all of these inequalities are those such that ...

  x > 1/5

8 0
3 years ago
The quotient of two numbers is negative. It must be true that _____.
kobusy [5.1K]
<span>The quotient of two numbers is negative. It must be true that B. one of the numbers is negative.
If neither number is negative, then their quotient will be positive, because both numbers are positive. If both numbers are negative, then their quotient will also be positive.
But since B is correct, their quotient will be negative.
For example: -9/3 = -3</span>
6 0
3 years ago
In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = t2 to the number of x-intercepts in
Strike441 [17]
F rests at (0/0) and grows upwards, so there is only a single x-intercept. g is f moved 3 to the left, so it also only has one intercept but at (-3,0).
6 0
2 years ago
Read 2 more answers
A hot air balloon is traveling at a altitude of 2400 feet. It begins to descend at a rate of 75 per minute. What is an expressio
irina1246 [14]

Answer:

y=-75x+2400

Step-by-step explanation:

y is the height

-75 is the rate of change so you put that before your x

2400 is your starting value/y intercept

not very good explanation but hope this helps

7 0
3 years ago
Calculate the distance between the points F=(-2,1) and A=(4,-2) in the coordinate plane. Round your answer to the nearest hundre
Anton [14]

Answer:

The distance between F and A is approximately 6.71 units.

Step-by-step explanation:

To find the distance between any two points, we can consider using the distance formula. Recall that:

\displaystyle d  = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let F(-2, 1) be (<em>x</em>₁, <em>y</em>₁) and A(4, -2) be (<em>x</em>₂, <em>y</em>₂).

Substitute and evaluate:

\displaystyle \begin{aligned} FA &= \sqrt{((4) - (-2))^2 + ((-2) - (1)^2} \\ \\&=\sqrt{(6)^2 + (-3)^2} \\ \\&=\sqrt{36 + 9} \\ \\ &= \sqrt{45} \\ \\ &= 3\sqrt{5}\\ \\&\approx 6.71\text{ units}  \end{aligned}

In conclusion, the distance between <em>F</em> and <em>A</em> is approximately 6.71 units.

8 0
2 years ago
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