Question Solved1 Answer Given two independent random samples with the following results: n1=16x‾1=162s1=21   n2=14x‾2=123s2=30 Use this data to find the 95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval. Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Step 3 of 3: Construct the 95%95% confidence interval. Round your answers to the nearest whole number.

Consider the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.1. Step 2 of 2 : Assuming the degrees of freedom equals 30, select the t value from the t table

please answer the following, thank you **Show ALL of your work. 1. Solve the following inequalities using an algebraic method. ✓✓ & ✓✓✓ a) x(x + 2)(x-2)(x + 3) ≥ 0 b) x²-2x-15 x²-16 20 for a function with a vertical asymptote at x = -2 and a kx-c 2. Determine an equation in the form f(x)=; y-intercept of✔✔ 3. Prove that sin (x+) = cos x is an identity. ✔✔

The smooth surface of the vertical cam is defined in part by the curve \( r=(0.2 \cos \theta+0.3) \mathrm{m} \) (Figure 1) If the forked rod is rotating with a constant angular velocity of \( \dot{\theta}=4 \mathrm{rad} / \mathrm{s} \), determine the force the cam and the rod exert on the 1.5-kg roller when \( \theta=30^{\circ} \). The attached spring has a The smooth surface of the vertical cam is defined in part by the curve \( r=(0.2 \cos \theta+0.3) \mathrm{m} \) (Figure 1) If the forked rod is rotating with a constant angular velocity of \( \dot{\theta}=4 \mathrm{rad} / \mathrm{s} \), determine the force the cam and the rod exert on the 1.5-kg roller when \( \theta=30^{\circ} \). The attached spring has a stiffnesss \( k=30 \mathrm{~N} / \mathrm{m} \) and an unstretched length of \( 0.1 \mathrm{~m} \). Express your answers in newtons using three significant figures separated by a comma.

Flower Arrangements has just completed operations for the year ended December 31, 2024. This is the third year of operations for the company. The following data have been assembled for the business: E (Click the icon to view the assembled data.) Prepare the income statement of Flower Arrangements for the year ended December 31, 2024. (If a box is not used in the table leave the box empty; do not select a label or enter a zero.) Data Table Insurance Expense $ 4,000 Salaries Expense $ 40,000 Service Revenue 75,000 Accounts Payable 6,200 Utilities Expense 600 Office Supplies 2,000 Rent Expense 13,000 Ruth, Withdrawals 1,800 Ruth, Capital, Jan. 1, 2024 12,500 Accounts Receivable 6,000 Cash 3,800 Equipment 28,200 Owner contribution during the year 5,700 Net Income Print Done

4. In humans, the antibiotic Ceftriaxone has the mean values for the apparent volume of distribution 300 L and total clearance CL=14L/h and t1/2= 8 h. . Salmonella infection is susuceptible to Ceftriaxone at concntration above 5 ug/mL and patient gets overdosed at the levels above 80ug/L. Calculate an IV dose ad infusion rate that provides steady-state level of 30ug/mL in human. b)The doctor decides to give a dose of 12 mg and started a constatnt infusion at the same Ro calculated . Ceftriaxone is eliminated as unchanges in the urine and the drug concentrations were recorded as; Time (h.) Con. Ug/L 0 4 12 6 24 6.8 36 7.5 360 10 a) Compute the Vd for patient (10pts) b) Compute the CL (10pts)

4. In humans , the antibiotic Ceftriaxone has the mean values for the apparent volume of distribution 300 L and total clearance CL=14L/h and t1/2= 8 h. . Salmonella infection is susuceptible to Ceftriaxone at concntration above 5 ug/mL and patient gets overdosed at the levels above 80ug/L. Calculate an IV dose ad infusion rate that provides steady-state level of 30 ug/mL in human. b)The doctor decides to give a dose of 12 mg and started a constatnt infusion at the same R, calculated . Ceftriaxone is eliminated as unchanges in the urine and the drug concentrations were recorded as ; Time (h.) Con. Ug/L 0 4 12 6 24 6.8 36 7.5 360 10 a) Compute the Vd for patient (10pts) b) Compute the CL (10pts)