Question Solved1 Answer 2 The dimensions x and y of an object are related to its volume V by the formula V-2xy a. How is related to if x is constant? b. How is related to if y is constant? dx c. How is related to and if neither x nor y is constant? be a. Complete the equation for when x is constant b. Complete the equation for when y is constant. -0% c. Complete the equation for when neither x nor y is constant wan The dimensions x and y of an object are related to its volume V by the formula V = 2xy dV a. How is related to dt if x is constant? dy b. How is related to ify is constant? c. How is är related to it and it neither x nor yis constant av dy b. Complete the equation for when y is constant. -O c. Complete the equation for when neither x nor y is constant. -0.0% Enter your answer in each of the answer boxes. javascript:doExercise (10)

The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system have? (if possible can you please provide explanations, thank you) The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system have? The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system have? 1 0 -40 0 1 0 0 a. 0 0 0 1 00 0 0 O A. Infinitely many solutions OB. Infinitely many solutions OC. Unique solution OD. None of the above 1 17 b. 0 0 0 1 0 -6 OA. Infinitely many solutions OB. Infinitely many solutions OC. Unique solution OD. None of the above 1 0 C. 0 1 12 3 0 0 0 O A. Infinitely many solutions OB. Infinitely many solutions OC. Unique solution OD. None of the above 18 d. 1 0 0 1 -8 O A. Infinitely many solutions OB. Infinitely many solutions OC. Unique solution OD. None of the above

In the last lecture, we covered the basics of hypothesis testing with the HIP mammography study as our example. The study's aim is to determine whether offering mammographies for breast cancer detection reduces the rate of death due to breast cancer. There are 31000 individuals in each of the treatment and control groups; only those in the treatment groups In the last lecture, we covered the basics of hypothesis testing with the HIP mammography study as our example. The study's aim is to determine whether offering mammographies for breast cancer detection reduces the rate of death due to breast cancer. There are 31000 individuals in each of the treatment and control groups; only those in the treatment groups are offered mammographies. We recap the elements of the hypothesis testing framework. In the mammography study, they are: • the Parametric Model. We can write indicator variables for whether each patient in the treatment group dies of breast cancer as X₁,..., X$1000 Bernoulli (π), and we can also approximate the total number of deaths as Y = X₁ + ... + X31000~ Poisson (X). • The null hypothesis Ho: = 0.00203 (equivalently λ = 63, and the alternative hypothesis HA: < 0.00203 (equivalently X < 63). We then decide whether or not to reject the null hypothesis based on a test. • The test statistic T. We define T to simply be the number of deaths Y in the treatment group. Under Ho, it is distributed as T binomial (31000, 0.00203). This distribution can also be approximated as T Poisson (63). The role of T' is to distinguish between Ho and HA • The significance level a = 0.05. This is the probability of rejecting the null hypothesis Ho when it is in fact true (type I error), that is, the probability of concluding there is an effect when there is none. Generally, the threshold of the test statistic for rejecting the null hypothesis is set based on a chosen significance level. • The p-value p. This is the probability that the test statistic, under the null hypothesis, takes a value more extreme (towards the direction of the alternative hypothesis) than the one observed. This probability can be computed from the test statistic T and the given parametric model. The p-value varies with the observed value of data, and when p < a, the Ho is rejected. • The power of the test. This is the probability of rejecting Ho when HA is true (avoiding a type Il error: 1 - P (type II error)). It is useful to write the power as a function of the parameter, when more than one parameter value is considered for HA Throughout the hypothesis test, we focused on the observed death rate in the treatment group as the variable, and compare it to π = 0.00203, the observed death rate in the control group. The question below examines the validity of this approach. Further thinking 1 point possible (graded) Remember our research question is whether offering mammography reduces the death rate from breast cancer. What is a potential problem in the hypothesis test that we have so far that can cause the hypothesis to not represent the research question? There is uncertainty in the death rate of the control, and the estimated death rate 0.00203 of the control is only a realization of a random variable. Therefore, we should not interpret the estimated value as the true death rate in the population without treatment We can conclude from our test that the probability to die from breast cancer in the treatment group is lower than 0.00203, but we cannot conclude that the probability to die from breast cancer in the treatment group is lower than that in the control group. None of the above. Both of the above.

You are trying to determine the number of moles of CO2 you have generated when reacting your unknown CaCO3 tablet with excess HCl according to the lab manual. You have determined the following: Volume of flask: 0.140 L Pi': 46.6 kPa Pf': 133.2 kPa Ti: 21.05 °C Tf: 22.75 °C How much CO2 did you generate in mmol to 2 decimal places?

4. A 900-mm strip of steel is bent into a full circle by two couples applied as shown. Determine (a) the maximum thickness of the strip if the allowable stress of the steel is 420 MPa, (b) the corresponding moment M of the couples. Use E = 200 GPa. M M 8 mm - 900 mm 4. A 900-mm strip of steel is bent into a full circle by two couples applied as shown. Determine (a) the maximum thickness of the strip if the allowable stress of the steel is 420 MPa, (b) the corresponding moment M of the couples. Use E = 200 GPa. M M 8 mm - 900 mm

.. Oswald Company reported retained earnings at December 31, 2016, of $400,000. Oswald had 200,000 shares of common stock outstanding throughout 2017 The following transactions occurred during 2017. 1. An error was discovered; in 2015, insurance expense was recorded at $90,000, but the correct amount was $60,000. 2. A cash dividend of $0.50 per share was declared and paid. 3. A 5% stock dividend was declared and distributed when the market price per share was $18 per share. 4. Net income was $310,000. Required Prepare a retained earnings statement for 2017.

Two stones are separated by a vertical distance y (in meters) from each other. One stone is thrown down with an initial velocity v01 = -35 m/s and the other is thrown up from the ground with an initial v02 = 17 m/s at the same time the other is thrown. How far, in meters, must they be separated so they hit the ground at the same time? What is the impact velocity, in meters per second, of the first stone? What is the impact velocity, in meters per second, of the second stone?