Questions in mathematics

Questions in mathematics

📝 Answered - Solve $3 n-5 p+2 n=10 p$ for $n$. A. $n=3 p$ B. $n=\frac{1}{p}$ C. $n=\frac{p}{3}$ D. $n=p$

📝 Answered - Using the formula [tex]$C=2 \pi r$[/tex], find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch. A) 28 in . B) 88 in . C) 56 in . D) 44 in .

📝 Answered - For a standard normal distribution, which of the following expressions must always be equal to 1? P(z ≤ -a) - P(-a ≤ z ≤ a) - P(z ≥ a) P(z ≤ -a) - P(-a ≤ z ≤ a) + P(z ≥ a) P(z ≤ -a) + P(-a ≤ z ≤ a) - P(z ≥ a) P(z ≤ -a) + P(-a ≤ z ≤ a) + P(z ≥ a)

📝 Answered - 1. In a class of 50 students, 28 take Mathematics, 20 take Computer Science, and 12 take both. Using the principle of inclusion-exclusion, find the number of students who take either Mathematics or Computer Science. 2. Let [tex]$A=\{1,3,5\}$[/tex] and [tex]$B=\{2,3,4\}$[/tex]. (a) Find [tex]$A \cup B, A \cap B, A-B$[/tex], and [tex]$B-A$[/tex]. (b) Find the complement of [tex]$A$[/tex] with respect to the universal set [tex]$U=\{1,2,3,4,5,6\}$[/tex]. 3. A company offers two services: mobile banking and SMS alerts. Out of 100 clients, 65 subscribe to mobile banking, 50 to SMS alerts, and 30 to both services. (a) How many clients subscribe to at least one of the two services? (b) How many clients subscribe to neither service? 4. Let [tex]$S=\{a, b, c\}$[/tex]. (a) List all elements of the power set [tex]$P (S)$[/tex]. (b) What is the cardinality of [tex]$P (S)$[/tex]?

📝 Answered - Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if [tex]$x$[/tex] is the number of cheese squares that she eats and [tex]$y$[/tex] is the number of turkey slices that she eats? [tex]$12 \leq x+y$[/tex] [tex]$12 \geq x+y$[/tex] [tex]$12 \leq 2 x+3 y$[/tex] [tex]$12 \geq 2 x+3 y$[/tex]

📝 Answered - The equation $9(u-2)+1.5 u=8.25$ models the total miles Michael traveled one afternoon while sledding, where $u$ equals the number of hours walking up a hill and $(u-2)$ equals the number of hours sledding down the hill. Which is the value of $u$? A. $u=0.25$ B. $u=0.75$ C. $u =1.1$ D. $u=2.5

📝 Answered - Simplify: [tex]14^0+2^7+15^1[/tex]

📝 Answered - Simplify the following expression. [tex]\begin{array}{c} (3 x+7)^2 \\ {[?] x^2+\square x+\square} \end{array}[/tex]

📝 Answered - Solve the equation by using the quadratic formula. [tex]8 x^2+3 x=5[/tex] a. [tex]x=\frac{8}{5},-1[/tex] c. [tex]x=\frac{8}{5}, 1[/tex] b. [tex]x=\frac{8}{5}, 0[/tex] d. [tex]x=\frac{5}{-8},-1[/tex] Please select the best answer from the choices provided

📝 Answered - 2. Let [tex]A = \{1,3,5\}[/tex] and [tex]B = \{2,3,4\}[/tex]. (a) Find [tex]A \cup B, A \cap B, A-B[/tex], and [tex]B-A[/tex]. (b) Find the complement of [tex]A[/tex] with respect to the universal set [tex]U = \{1,2,3,4,5,6\}[/tex].