Answer:
0.08065
Step-by-step explanation:
Given that in a recent study,1 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months with whom you discussed matters that are important to you.
If X is random variable then X has mean 2.2 and s = 1.4
n=2006
Std error of mean =
For 99% since sample size is large, t and z distn almost coincide.
Hence we can take 2.58 as critical value
Margin of error at 99% =
Answer:
<h3><u>1.</u>)</h3>
3n + 1 = 7n - 5
1 + 5 = 7n - 3n
6 = 4n
3/2 = n
<h3><u>2</u><u>.</u>)</h3>
2[x + 3(x - 1)] = 18
2[x + 3x - 3] = 18
2(4x - 3) = 18
8x - 6 = 18
8x = 12
x = 12/8
x = 3/2
<h3>
<u>3</u><u>.</u>)</h3>
6(y + 2) - 4 = -10
6y + 12 - 4 = -10
6y = -10 - 8
6y = -18
y = -3
<h3>
<u>4</u><u>.</u>)</h3>
2x² = 50
x² = 50/2
x = √25
x = 5
<h3>
<u>5</u><u>.</u>)</h3>
5 + 2(k + 4) = 5(k - 3) + 10
5 + 2k + 8 = 5k - 15 + 10
2k - 5k = -5 - 13
-3k = -18
k = 6
<h3>
<u>6</u><u>.</u>)</h3>
6 + 2x(x - 3) = 2x²
6 + 2x² - 6x = 2x²
-6x = 2x² - 2x² - 6
x = 1
<h3>
<u>7</u><u>.</u>)</h3>
2/3x - 18 = x/6
12(2/3x - 18 = x/6)
8x - 216 = 2x
8x - 2x = 216
6x = 216
x = 36
<h3><u>
8.</u>
)</h3>
x - 2/3 = 2x + 1/4
12(x - 2/3 = 2x + 1/4)
4x - 8 = 6x + 3
4x - 6x = 8 + 3
2x = 11
x = 11/2
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
the answer is B. The inverse f the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Step-by-step explanation:
Answer:
$8.75
Step-by-step explanation:
35 * .25 = $8.75
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
Learn more:
You can learn more about triangle in brainly.com/question/3617539
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