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એક કારખાનામાં બનાવાતા સ્ટીલના પાઇપનો વ્યાસ સામાન્ય વિતરણ પ્રમાણે ફેલાયેલો છે. સરેરાશ વ્યાસ 60mm છે અને પ્રમાણભૂત વિચલન 0.5 mm છે. (a) જો પાઇપ કાઢીને પસંદ કરીએ, તો એ પાઇપનો વ્યાસ 59.5 mm થી 60.5 mm વચ્ચે આવે એની સંભાવના કેટલી હશે.

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Events A and B are mutually exclusive with P(A)= .35 and p(B)=.25. Then P(B)=

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Does resolution increase or decrease as magnification goes up? Increases Decreases

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7. A toy store sells a teddy bear for $ ? 448 $ after adding a GST of $ 12 \% $. What is the selling price of the teddy bear before GST.

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Part A: Given the circuit, R W 1.0 k? 10 mV Vs L 20 mH 10 kHz Determine the fol 7. Voltages (magni 1. Inductive reacta? a) $V_R$ 2. Impedance, Z b) $V_L$ a) magnitude 8. Voltage phasor c b) angle 9. Power: 3. Impedance phas a) $P_{true}$

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For each of the following functions, give its big-O time complexity and explain why. 1 void function1(int n) { 2 for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { 3 4 cout << '*' << endl; 5 } 6 } 7} 1 void function2(int n) { 2 for (int i = 1; i <= n; i *= 2) { 3 cout << '*' << endl; 4 } 5} 1 void function3(int n) { 2 if (n == 0) return; 3 function3(n - 1); 4 function3(n - 1); 5} 1 void function4(int n) { 2 if (n == 0) 3 return; for (int i = 0; i < n; i++) { 4 5 cout << '*' << endl; 6 } 7 function4(n / 2); 8 function4(n / 2); 9}

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Consider the function $f(z) = 7z^2 + 70 \ln(z)$\\ a. State the intervals of $z$ where $f(z)$ is concave up. [use exact values, no decimals]\\ b. State the intervals of $z$ where $f(z)$ is concave down. [use exact values, no decimals]

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The correct answer is 166.08 m.

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1. Bisection 2. False Position 3. Fixed-Point iteration 4. Newton 5. Secant 6. Modified Secant 7. MATLAB fzero 8. Muller 9. MATLAB roots Problem 3: A total charge Q is uniformly distributed around a ringshaped conductor with radius a. A charge q is located at a distance x from the center of the ring (Fig. 2). The force exerted on the charge by the ring is given by \begin{equation} F = \frac{1}{4\pi\epsilon_0} \frac{qQx}{(x^2 + a^2)^{3/2}} \end{equation} where $\epsilon_0 = 8.9 \times 10^{-12} \text{ C}^2/(\text{N m}^2)$. Find the distance x where the force is 1.25 N if q and Q are $2 \times 10^{-5}$ C for a ring with a radius of 0.85 m. You need to run all codes when possible.

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CHALLENGE ACTIVITY 6.2.1: Confidence intervals for population means. 3432? Jump to level 1 The additional growth of plants in one week are recorded for 11 plants with a sample standard deviation of 4 inches and sample mean of 11 inches. t* at the 0.05 significance level = Ex: 1.234 Margin of error = Ex: 1.234 Confidence interval = [Ex: 12.345 , Ex: 12.345 ] (smaller value, larger value) Check Next 6.2.2 Relating confidence intervals to hypothesis testing (one sample) 2 Feedback?

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chelsea l.