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Home Question Bank Math Archive 2024 November 08

Math Questions from Nov 08,2024

Browse the Math Q&A Archive for Nov 08,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( 103.57+29.6 \) Since each of these have a portion just over one-half, try rounding one up to the nearest whole number and rounding the other one down. En una receta, la relación entre harina y azúcar es 3:2. Si se utilizan 6 tazas de harina, ¿cuántas tazas de azúcar se necesitan? La multiplicación de dos números naturales consecutivos es 650 . ¿Cuables son esos números? Solve the problem. Martin scored 41 points on a quiz. The average score for his class was 39 with a standard deviation of 2.4 Martin's brother Jeff who is in a different class also had a quiz. He scored 28 . The average score in Jeff's class was 26 with a standard deviation of 1.9 Find the \( z \)-score for each person. Relatively speaking, who did better? The test statistic of \( z=-3.10 \) is obtained when testing the claim that \( \mathrm{p}<0.16 \). a. Using a significance level of \( \alpha=0.05 \), find the critical value(s). b. Should we reject \( \mathrm{H}_{0} \) or should we fail to reject \( \mathrm{H}_{0} \) ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. The critical value(s) is/are \( z=\square \). (Round to two decimal places as needed. Use a comma to separate answers as needed.) Solve the inequality. Write the solution set in interval notation if possible. \[ \frac{w^{2}-w-12}{w+6} \geq 0 \] Construct a box plot from the data below. 2025262626 2729334143 4546474850 5050515355 5760616263 Pregunta 2 (1.3 puntos) Los costos totales en dólares por fabricación de \( x \) unidades del ejemplar de un nuevo libro están dados por la expresión: \[ \begin{array}{l}C(x)=42 \ln (x+3)+80 \\ \text { Si se calcula } \frac{d C}{d x}(11) \text {, se puede afirmar que: } \\ \begin{array}{l}\frac{d C}{d x}(11)=3 \text { dólares/libro } \\ \begin{array}{l}\frac{d C}{d x}(11)\end{array}=42 \text { dólares/libro } \\ \frac{d C}{d x}(11)=\frac{42}{11} \text { libros/dólar } \\ \frac{d C}{d x}(11)=\frac{42}{\ln (11)} \text { libros/dólar }\end{array}\end{array} . \] The test statistic of \( z=1.72 \) is obtained when testing the claim that \( p \neq 0.486 \). a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the \( P \)-value. c. Using a significance level of \( \alpha=0.01 \), should we reject \( \mathrm{H}_{0} \) or should we fail to reject \( \mathrm{H}_{0} \) ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a two-tailed test. b. P-value \( =\square \) (Round to three decimal places as needed.) Find the indicated decile or percentile. The weekly salaries (in dollars) of sixteen government workers are listed below. Find the eighty-first percentile \( P_{81} \). 757624820668 475601534661 57661855508 595460553490
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