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trapecia [35]
3 years ago
13

K is decreased by 20​

Mathematics
1 answer:
Luden [163]3 years ago
8 0
The answer is k-20

decreased means to take away/subtract, “k” is being subtracted by 20, therefore k-20


Hope this helps! have a wonderful day!
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What is the estimated margin of error, using standard deviation?
OLEGan [10]
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



3 0
3 years ago
Write an equation in slope-intercept form that goes through (12, 4) and (20,8).
spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

Step-by-step explanation:

Given two points are:

(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)

Slope intercept form of line is given as:

y = mx+b

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

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

Putting the values

m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}

Putting the value of slope in slope-intercept form we get

y = \frac{1}{2}x+b

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2

Putting the value of b

y = \frac{1}{2}x-2

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

4 0
3 years ago
0.7 mm to centimeters
san4es73 [151]

Answer: 0.07 centimeters

Step-by-step explanation: 0.7millimeters equals 0.07 centimeters

8 0
3 years ago
Help please important
Lemur [1.5K]
1) tan 41°= 30cm divide by y cm
y= 30 divide by tan-1 41°
3 0
3 years ago
Read 2 more answers
What is the answer to this problem -2x – 4 < 3x + 21
horsena [70]

Start with

-2x-4 < 3x+21

Add 2x to both sides:

-4 < 5x+21

Subtract 21 from both sides:

-25 < 5x

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

-5 < x

So, the answer is x > -5


6 0
2 years ago
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