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Luda [366]
2 years ago
7

Evaluate the expression for x = 6.

Mathematics
1 answer:
kifflom [539]2 years ago
4 0
C or A for x =6. ……………………………….
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Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3
Gennadij [26K]
<h3>Answer: Choice A)  sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

-------------

Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

------------

Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

6 0
3 years ago
Help I’m so confused
chubhunter [2.5K]

Answer:

y = 3x + 6

Step-by-step explanation:

The domain is you x values. You need to substitute the x values into both functions to see which one produces the plots on the graph.

<h3>y = 2x + 4</h3>

when x = -3, y = 2(-3) + 4 = -6 + 4 = -2

when x = -2, y = 2(-2) + 4 = = -4 + 4 = 0

when x = -1, y = 2(-1) + 4 = = -2 + 4 = 2

when x = -0, y = 2(0) + 4 = 0 + 4 = 4

<h3>y = 3x + 6</h3>

when x = -3, y = 3(-3) + 6 = -9 + 6 = -3

when x = -2, y = 3(-2) + 6 = = -6 + 6 = 0

when x = -1, y = 3(-1) + 6 = = -3 + 6 = 3

when x = -0, y = 3(0) + 6 = 0 + 6 = 6

The points on the graph are (-3, -3), (-2, 0), (-1, 3) and (0, 6)

This is same as the results from the function y = 3x + 6

8 0
3 years ago
What is the sum of 36oz and 4 pounds
Mice21 [21]
Answer B
There are 16 oz in a pound. 16(2)=32 and there are 4 oz leftover.
6 0
2 years ago
1) For question 1, use the figure below. a) Are the following polygons similar? Explain. (2 pts) Yes or No b) Assume the polygon
Delvig [45]

Answer: a) Yes b) Polygon ABCD ~ Polygon EFGH c) JKLM is 3x bigger than polygon ABCD

Step-by-step explanation:

(for part c)

JM= 36

AD= 12

36/12= 3

JKLM is 3x bigger than polygon ABCD

3 0
3 years ago
What is 1/6x=4 in solving equations with rational coefficients
Debora [2.8K]
To solve an equation with a rational (fraction) coefficient you need to multiply both sides of the equation by the reciprocal (invert the fraction - flip it).

\frac{1}{6}x =4 The reciprocal of 1/6 is 6/1 or 6
6( \frac{1}{6} x)= 6(4)  The product of reciprocals equals 1 
1x = 24
x = 24


7 0
3 years ago
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