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Questions in mathematics

[Answered] Select the best answer for the question. What's the area of a rectangular jewelry store that is 12 feet wide and 18 feet long? A. 576 square feet B. 216 square feet C. 288 square feet D. 68 square feet

[Answered] Construct a confidence interval for the mean of the paired differences for the two populations with the following information. Round the endpoints of the interval to three decimal places, if necessary. n = 33, d= 2.874, α = 0.05, sd = 0.828

[Answered] A sum of money is invested at $12 \%$ compounded quarterly. About how long will it take for the amount of money to double? Compound interest formula: [tex]V(t)=P\left(1+\frac{r}{n}\right)^{n t}[/tex] [tex]t=[/tex] years since initial deposit [tex]n=[/tex] number of times compounded per year [tex]r=[/tex] annual interest rate (as a decimal) [tex]P=[/tex] initial (principal) investment [tex]V(t)=[/tex] value of investment after [tex]t[/tex] years A. 5.9 years B. 6.1 years C. 23.4 years D. 24.5 years

[Answered] Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green. She draws 1 marble out of the bag, replaces it, and then draws another marble. What is [tex]P[/tex] (red then blue then green)? [tex]$\frac{1}{64}$[/tex] [tex]$\frac{1}{32}$[/tex] [tex]$\frac{1}{2}$[/tex] [tex]$\frac{3}{4}$[/tex]

[Answered] $-2 x=-\frac{1}{4}+\frac{1}{2} x+5$ to justify the solution. What value of $x$ is the solution? $x=\square$

[Answered] (1) Create a word problem for the inequality: [tex]$x \leq 3x+4$[/tex] (2) Use the idea of balancing to solve the following simple linear inequalities. i. [tex]$2x-13\ \textgreater \ 29$[/tex] ii. [tex]$5x-9\ \textgreater \ -5$[/tex] iii. [tex]$15\ \textless \ 8-2x$[/tex] iv. [tex]$3x \leq 8+x$[/tex] v. [tex]$x-55\ \textgreater \ 14$[/tex] vi. [tex]$13-x^2\ \textless \ 12$[/tex] vii. [tex]$x-3 \geq 2$[/tex] viii. [tex]$2x^2-5 \leqslant 35-x^2$[/tex]

[Answered] Can you find a fraction that is equivalent to $\frac{6}{25}$ ? Which of the following terminating decimals is equivalent to this fraction? 0.20 0.22 0.24 none

[Answered] \frac{-(-7)^0 \times 7^9}{(-7)^2(-7)^3(-7)}

[Answered] A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and five of your friends decide to try the program and see what happens. Use the table below to construct a $99 \%$ confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. | Typing Speeds (in Words per Minute) | | :----- | :----- | | Before | After | | 53 | 55 | | 50 | 42 | | 46 | 54 | | 44 | 51 | | 30 | 43 | | 42 | 34 |

[Answered] Find the sum of $3.2 \times 10^6$ and $1.7 \times 10^5$. Express your answer in scientific notation.