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3 years ago

The standard deviation for a set of data is 6.5. The mean is 255. What is the Margin of Error?

Mathematics

1 answer:

HACTEHA [7]3 years ago

3 0

Answer: The margin of error is 12.74.

Step-by-step explanation:

Since we have given that

Standard deviation = 6.5

Mean = 255

Let 95% level of significance,

So, z value = 1.96

We need to find the "Margin of error":

So, it becomes :

Margin of error = Standard deviation × z-value

Margin of error = $6.5\times 1.96=12.74$

Hence, the margin of error is 12.74.

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What is the vertex of the function f(x) = x2 + 12x?

Sophie [7]

We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x = (-12 + 0) / 2 = -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6) = 36 - 72 = -36

Therefore vertex is (-6, -36).

7 0

3 years ago

How do i solve x/3+10=15

yaroslaw [1]

step-by-step.

+10=15

Step 1: Simplify both sides of the equation.

x+10=15

Step 2: Subtract 10 from both sides.

x+10−10=15−10

x=5

Step 3: Multiply both sides by 3.

3*(

x)=(3)*(5)

x=15

Answer:

x=15

8 0

3 years ago

Rewrite the system of linear equations as a matrix equation AX = B.

iren2701 [21]

Answer:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]$

And the vector of vriables (X) is:

$\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]$

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

$\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

In conclusion, AX=B is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

7 0

4 years ago

If f(x) = 4x²-2 then f(-2) is

klemol [59]

To find f(-2), substitute (-2) into x of the function f(x) = 4x^2-2
We get, f(-2) = 4(-2)^2 - 2
= (4*4)-2 = 16-2 = 14
Therefore, f(-2)=14.

3 0

2 years ago

In 1923, a certain country underwent one of the worst periods in history of hyperinflation, which is extraordinarily large inf

alexgriva [62]

Answer: 3.498 * 10^26 % ; 16.9% per day

Step-by-step explanation:

Inflation rate = 11,000 per month

Hence, price after a month :

Final price = initial price (1 + rate)

Final price = 1 + 11000/100

Final price = (1 + 110) * initial price

Final price = 111 times the initial price

Hence inflation over the 12 month period :

(111)^12 = 3.498 * 10^24

(3.498 * 10^24) * 100% = 3.498 * 10^26 %

The daily inflation rate :

Number of days = 30

30th root of 3.498 * 10^24 = 1.169

(1.169 - 1) = 0.169

0.169 * 100% = 16.9% per day

5 0

3 years ago

The standard deviation for a set of data is 6.5. The mean is 255. What is the Margin of Error?​

The standard deviation for a set of data is 6.5. The mean is 255. What is the Margin of Error?