Note: I want the direction of the conventional current. 5. Consider the circuit in Figure 3, where R1 = 5.00×102Ω, R2 = 1.00×103Ω, and VB = 10.0V . (a) What is the equivalent resistance Req of the circuit? (b) Solve the circuit.
{ b = 2 + a } b) Multiplies b by 4 and stores the result in a. { a = b * 4} c) Divides a by 3.14 and stores the result in b. { b = a MOD 3.14 } d) Subtracts 8 from b and stores the result in a { a = 8 – b } 4. Assume the variables result, w, x, y and z are all integers, and that w=5, x=4, y=8 and z=2. What value will be stored in result in each of the following statements?
TOPIC 8 Chi-Square goodness-of-fit test Problem 12.1 Use a chi-square goodness-of-fit to determine whether the observed frequencies are distributed the same as the expected frequencies (α = .05) Category | fo | fe | 1 | 53 | 68 | 2 | 37 | 42 | 3 | 32 | 33 | 4 | 28 | 22 | 5 | 18 | 10 | 6 | 15 | 8 | Step 1 Ho: The observed frequencies are distributed the same as the expected frequencies Ha: The observed frequencies are not distributed the same as the expected frequencies Step 2 df = k – m – 1 Step 3 α = 0.05 x 2 0.05, 5df = 11.0705 Step 4 Reject Ho if x 2 > 11.0705 Category | fo | fe | | 1 | 53 | 68 | | 2 | 37 | 42 | | 3 | 32 | 33 | | 4 | 28 | 22 | | 5 | 18 | 10 | | 6 | 15 | 8
[2] iii) Find the equation of the circle. [2] iv) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4] v) Prove that the line AB is perpendicular to the line CD. [3] 5. Find the angle ( and the length x in the triangle shown below. [7] 6.
Give a complete explanation for the "Power ...__The power rule for exponents states that when raising an exponential expression to a power, keep the base and multiply the exponents. This also includes powers of products and powers of quotients.7. Give a complete explanation for the "Expanded... ___The expanded power rule for exponent’s states that every factor within parentheses is raised to the power outside the parentheses when the expression is simplified. Its helps to simplify an expression before using the expanded power rule.Page 2 of 28. Give a complete explanation for the "Negative ..._______The negative exponent rule states that when a variable or number is raised to a negative exponent, the expression may be rewritten as one divided the variable or number raised to that positive exponent.
The vector function r(t) = t sin t, ___________ , t describes a spiral on the surface of a cone. B. For vector function r(t), unit tangent vector T(t) = b C. 10pts . r (t) dt is the __________________________ of a space curve r(t) from t = a t o t = b. a D. TRUE or FALSE: Curvature is negative when moving out of a curve. D. The normal plane for space curve C at a point is the plane containing unit vectors ______ and _______ E. F. TRUE or FALSE: B(t) does not need to be scaled since it is already a unit vector.
y-y1=m(x-x1) y-5=1/2(x-3) 5. Convert the equations you arrived at in question 2 and question 4 into slope-intercept form. 2: 2(y-4)=(x-1) 2y-8=x-1 2y-x=-1+8 2y=x+7 4: 2(y-5)=(x-3) 2y-10=x-3 2y=x-3+10 2y=x+7 6. Does the point you select matter when your write a point-slope equation? Explain your reasoning using complete sentences.
Find the critical values of the following functions. a) f ( x) 3x 4 4 x3 6 x 2 b) y p 1 p2 4 5. Find the absolute maximum and minimum values of f on the given interval. [ 1, 2] a) f ( x) ( x 2 1)3 , b) f (t ) t ln t , [ 1 , 2]
Amounts Variable overhead: Price variance $ (0%) (0%) Efficiency variance $ (0%) (0%) Fixed overhead: Price variance $ (0%) (0%) ________________________________________ P16-45 Overhead Variances (L.O. 5, 6) Lima Parts, Inc., shows the following overhead information for the current period: Actual overhead incurred $ 29,400 2/3 of which is variable Budgeted fixed overhead $ 8,640 per
8 5 7 8 (a) 7 7 8 6 6 11 7 5 5 7 9 9 6 7 6 7 Construct a frequency table from the above data and add a cumulative frequency column. For this data, find: (i) the median; (ii) the lower quartile; (iii) the upper quartile. 2 (b) 1 1 1 2 (c) Construct a boxplot for this data. [Turn over [ X100/201] Page three Marks 3. The diagram below represents a sphere.