Answer:
The function that would correctly calculate the 90% range of likely sample means is given by:
B. 4,200±CONFIDENCE.T(0.10,140,12)
Step-by-step explanation:
In Microsoft Excel, the syntax
returns the confidence interval for the population mean, using the students T-distribution.
The standard deviation is given as $140 and the sample size is 12.
In constructing the confidence interval we use:
Let us substitute the values to get:
We use the T distribution because is unknown
Answer:
y = 6x + 22
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 14)
Point (-1, 16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: 16 = 6(-1) + b
- Multiply: 16 = -6 + b
- Isolate <em>b</em>: 22 = b
- Rewrite: b = 22
<u>Step 4: Write linear equation</u>
y = 6x + 22
<em><u>True staments are:</u></em>
The y-variable will be eliminated when adding the system of equations
There is only one solution to the system of equations
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + 6y = 16 ----- eqn 1
8x - 6y = -2 ---- eqn 2
We have to solve the system of equations
When we add eqn 1 and eqn 2, then y term will get eliminated
Let us add eqn 1 and eqn 2
x + 6y + 8x - 6y = 16 - 2
6y and -6y will get eliminated
Thus, y-variable will be eliminated when adding the system of equations
x + 8x = 14
9x = 14
x = 1.55
Substitute x = 1.55 in eqn 1
1.55 + 6y = 16
6y = 16 - 1.55
6y = 14.45
y = 2.408
Thus the solution is x = 1.55 and y = 2.408
There is only one solution to the system of equations
Answer:
A= 1/2d -1/2N
Step-by-step explanation:
Answer:
h=(A/2tr)-r
Step-by-step explanation:
A=2tr(r+h)
A/2tr=r+h
h=(A/2tr)-r