Questions in mathematics

Questions in mathematics

📝 Answered - Find the middle term in the expansion of $(2 x-y)^4$ and simplify your answer. Find the term that contains $x^5$ in the expansion of $(2 x+3 y)^8$.

📝 Answered - The table shows the results of rolling a fair six-sided die. Complete parts (a) through (d) below. | Outcome on Die | First 100 Trials | Second 100 Trials | 500 Trials | |---|---|---|---| | 1 | 18 | 15 | 84 | | 2 | 14 | -19 | 88 | | 3 | 19 | 14 | 86 | | 4 | 21 | 16 | 79 | | 5 | 14 | 12 | 89 | | 6 | 14 | 24 | 74 | (a) Using the table, find the empirical probability of rolling a 2 for the first 100 trials. The empirical probability of rolling a 2 for the first 100 trials is $\square$ 0.14. (Round to two decimal places as needed.) (b) Using the table, find the empirical probability of rolling a 2 for the second 100 trials. The empirical probability of rolling a 2 for second 100 trials is $\square$ (Round to two decimal places as needed.)

📝 Answered - Because Bernard has some health issues, he must pay $15 \% more for life insurance. About how much more annually will a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues? | Age | Annual insurance Premiums (per S 1,000 of face value) | |---|---| | | 10-Year Term | | | Male | Female | | 35 | 1.40 | 2.36 | | 40 | 1.64 | 1.59 | | 45 | 2.07 | 2.01 | A. $161 B. $185 C. $1,073 D. $24

📝 Answered - Multiply. Express numbers as integers or simplified fractions. $\left(-\frac{2}{3}\right) \cdot\left(-\frac{18}{13}\right)$ Part 1 of 2 Same signs. The product is $\square$

📝 Answered - i) Find the value of 30% of 60 ii) Express 1.5 as a percentage

📝 Answered - A coin was tossed 20 times successively. Each time the number of heads occurring was noted down as follows: $\begin{array}{l} 0,1,1,2,0,1,2,0,0,1,2,2,0,2,1,0,1,1, \ 0,2 \end{array}$ Prepare a frequency distribution table for the given data.

📝 Answered - An exponential growth function has an asymptote of [tex]$y=-3$[/tex]. Which might have occurred in the original function to permit the range to include negative numbers? A. A whole number constant could have been added to the exponential expression. B. A whole number constant could have been subtracted from the exponential expression. C. A whole number constant could have been added to the exponent. D. A whole number constant could have been subtracted from the exponent.

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Which of the following is a property of the equation of a circle? A. There is a term in [tex]$x y$[/tex]. B. The degree of the expression in [tex]$x$[/tex] and [tex]$y$[/tex] is 2 C. The coefficients of [tex]$x$[/tex] and [tex]$y$[/tex] are the same. D. The center is always at the origin.

📝 Answered - A student showed their work for solving the inequality $-6(2 c-1)+30 \leq c-3$ for $c$. | | $-6(2 c-1)+30 \leq c-3$ | | | :--------- | :------------------------ | :---------- | | Step One | $-12 c+6+30 \leq c-3$ | Distribute. | | Step Two | $-12 c+36 \leq c-3$ | Combine like terms. | | Step Three | $-13 c+36 \leq-3$ | Subtract c on both sides. | | Step Four | $-13 c \leq-39$ | Subtract 36 on both sides. | | Step Five | $c \leq 3$ | Divide by -13 on both sides. | A student made an error in Step Five. What is the correct inequality for Step Five? A. $c \leq 3$ B. $c \leq 507$ C. $c \geq 507$ D. $c \geq 3$