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FinnZ [79.3K]
3 years ago
12

What is the estimated margin of error, using standard deviation?

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0
Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5

Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25

12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573

Standard Deviation = 3.1573

108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312

110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19
 

Margin of error = +/- 2.19



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Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation
Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; y-y_1=m(x-x_1) ......[1] ; where m is the slope and a point (x_1, y_1) on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement:  After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given values we get;

m = \frac{40-25}{8-3}=\frac{15}{5} = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

y-25=3(x-3)

Using distributive property; a \cdot(b+c) = a\cdot b + a\cdot c

y-25 = 3x - 9

Add 25 on both sides, we get;

y-25+25 = 3x - 9+25

Simplify:

y =3x + 16

if  x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

7 0
3 years ago
Find the 5th term of the sequence in which T1=8 and Tn=3t n-1
yan [13]
T_n = 3 * T_(n-1)

Long way (always works!)
T_5 = 3*T_4,
T_4 = 3*T_3
T_3 = 3*T_2
T_2 = 3*T_1

T_5 = 3*3*3*3*T_1 = 81*T_1 = 81*8 = 648!

Short way (sometimes it works!)

T_n = 3^(n-1) * T_1 (this case is a geometric series of ratio-=3)
T_5 = 3^4*8 = 648
6 0
2 years ago
Solve for X. Greatly appreciate if someone could answer soon:)
vampirchik [111]
X = 11
angle LKM = angle KLM = angle LMK because it is an equilateral triangle
180/3 = 60
60=3x-27
60-27=3x
33=3x
x=11
4 0
2 years ago
angelA and angelB are complementary angles. If m angel = ( x-23)° and m angel B = (2x + 29°) then find the measure of angle B.​
alina1380 [7]

Answer:

The measure of angle B is 29°.

8 0
3 years ago
Which line is parallel to 4x + 2y = 0?<br>A. y=2x+3<br>B. -1/2×+3<br>C. y=-2x+3<br>D. y=1/2x+3
egoroff_w [7]
Line A is parallel to line B if line A and B have the same slope and have the same or different y-intercept.

Convert the standard form equation to slope-intercept form as it will be easier to see the slope.

Solve for y.

4x + 2y = 0
2y = -4x <-- Subtract 4x from each side
y = -2x <-- Divide both sides by 2

In the slope-intercept form y = -2x, a y-intercept of 0 is implied

Now find a slope-intercept form equation that has the same slope as y = -2x

So, the answer is C y = -2x + 3.
7 0
3 years ago
Read 2 more answers
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