Answer:
Looking for four values or answers
(A) 5.05
(B) 13
(C) $254,140.33
(D) $254,145.38
Step-by-step explanation:
(A) The value of the margin of error.
Using a 90% confidence level or 0.10 alpha level,
1 - alpha = 1 - 0.10 = 0.90
The degrees of freedom = n - 1 = 14 - 1 = 13
Using the t table, 0.90 under 13 is 1.350
Sample size divided by √n is equal to
14/√14 = 3.742
1.35 × 3.742 = 5.05
(B) 13 degrees of freedom
(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525
Adding the 14 values together, you have $3,558,000
Dividing by 14 to get the mean;
Mean = $254,142.8571
Lower Limit: $254,140.33
Upper Limit: $254,145.38
Answer:
The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately by expressing the derivative of the dependent variable as a symbol and by solving the resulting expression for the symbol.
Answer:
Step-by-step explanation:
If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):
As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.
Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:
1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1
The difference in gallons per day used is 3.6.
The formula to calculate a z-score is:
,
where X is the value used to calculate the score, μ is the mean and σ is the standard deviation. We have the z-scores so we must work backward:
For both equations, we will cancel the 1.2 by multiplying both sides:
Now we will cancel 2.2 from both equations by adding it to both sides:
3.6+2.2=X-2.2+2.2 and 0+2.2=X-2.2+2.2
5.8=X and 2.2=X
The difference in gas used per day would be given by
5.8-2.2 = 3.6.
ArrayAn arrangement of objects in equal rowscolumna vertical group of items often found in an arraycommutative property<span>two factors can be multiplied in either order to find the product
ex.) 3 x 4 = 12
ex.) 4 x 3 = 12</span>distributive property<span>To multiply a sum by a number, multiply each addend by the number outside the parentheses.
ex. ) 12 x 3 = (10 x 3) + (2 x 3)</span>divisionAn operation in which we make parts out of a number, which are equalequationA mathematical sentence that contains an equals sign.factorone of two or more numbers, that when multiplied together produce a given productmethoda way of doing somethingmultiplicationAn operation used for the shortening of repeated additionnumber bonda model showing part, part, whole relationshipsnumber of groupsfactor in a multiplication problem that refers to the total equal groupsnumber sentenceA complete sentence that uses numbers and symbols instead of wordspictureillustrate, show, represent, portray, or depictquotientthe answer when one number is divided by another ex.) 14 / 2 = 7repeated additionadding equal groups together ex.) 2 + 2 + 2 + 2rowa horizontal group of items often found in an arraysize of groupsfactor in a multiplication problem that refers to the how many in each grouptape diagramA drawing that looks like a segment of tape, used to illustrate number relationships.unitone segment of a partitioned tape diagramProductThe answer to a multiplication problemRepresents<span>What the number you found stands for in your problem.</span>
