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glamrockqueen7 2021-06-10

A city recreation department offers Saturday gymnastics classes for beginning and advanced students. Each beginner class enrolls 15 students, and each advanced class enrolls 10 students. Available teachers, space, and time lead to the following constraints. ∙∙ There can be at most 9 beginner classes and at most 6 advanced classes. ∙∙ The total number of classes can be at most 7. ∙∙ The number of beginner classes should be at most twice the number of advanced classes. a. What are the variables in this situation? b. Write algebraic inequalities giving the constraints on the variables. c. The director wants as many children as possible to participate. Write the objective function for this situation. d. Graph the constraints and outline the feasible region for the situation. e. Find the combination of beginner and advanced classes that will give the most children a chance to participate. f. Suppose the recreation department director sets new constraints for the schedule of gymnastics classes. ∙∙ The same limits exist for teachers, so there can be at most 9 beginner and 6 advanced classes. ∙∙ The program should serve at least 150 students with 15 in each beginner class and 10 in each advanced class. The new goal is to minimize the cost of the program. Each beginner class costs $500 to operate, and each advanced class costs $300. What combination of beginner and advanced classes should be offered to achieve the objective? .

Falak Kinney 2021-06-08

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. $\begin{array}{ccccccccc} x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ f (x) & 2 & 4.079 & 5.296 & 6.159 & 6.828 & 7.375 & 7.838 & 8.238 & 8.592 & 8.908 \end{array}$

Daniaal Sanchez 2021-06-07

1) If A and B are mutually exclusive events with $P (A) = 0.3$ and $P (B) = 0.5$ , then $P (A \cap B) = ?$
2) An experiment consists of four outcomes with $P (E_{1}) = 0.2, P (E_{2}) = 0.3,$ and $P (E_{3}) = 0.4$ . The probability of outcome $E_{4}$ is ?
3) If A and B are mutually exclusive events with $P (A) = 0.3$ and $P (B) = 0.5$ , then $P (A \cap B) = ?$
4) The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately
5) If a penny is tossed four times and comes up heads all four times, the probability of heads on the fifth trial is ?

Ernstfalld 2021-06-06

Is it true that girls perform better than boys in the study of languages and so-called soft sciences? Here are several Advanced Placement subjects and the percent of examinations taken by female candidates in 2007: English Language/Composition, 63%; French Language, 70%; Spanish Language, 64%; and Psychology, 65%. (a) Explain clearly why we cannot use a pie chart to display these data, even if we know the percent of exams taken by girls for every subject. (b) Make a bar graph of the data. Order the bars from tallest to shortest; this will make comparisons easier. (c) Do these data answer the question about whether girls perform better in these subject areas? Why or why not?

aortiH 2021-06-06

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. $\begin{array}{ccccccccc} x & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\ f (x) & 9.429 & 9.972 & 10.415 & 10.79 & 11.115 & 11.401 & 11.657 & 11.889 & 12.101 & 12.295 \end{array}$

Tyra 2021-06-06

A ___ random variable has either a finite or a countable number of values.
a) probability
b) continuous
c)discrete
d)required

Efan Halliday 2021-06-05

Use the following Normal Distribution table to calculate the area under the Normal Curve (Shaded area in the Figure) when $Z = 1.3$ and $H = 0.05$ ;
Assume that you do not have vales of the area beyond $z = 1.2$ in the table; i.e. you may need to use the extrapolation.
Check your calculated value and compare with the values in the table $[f o r z = 1.3 a n d H = 0.05]$ .
Calculate your percentage of error in the estimation.
How do I solve this problem using extrapolation?
$\begin{array}{cc} Z + H & P r o b . & E x t r a p o l a t i o n \\ 1.20000 & 0.38490 & D i f f e r e n c e s \\ 1.21000 & 0.38690 & 0.00200 \\ 1.22000 & 0.38880 & 0.00190 \\ 1.23000 & 0.39070 & 0.00190 \\ 1.24000 & 0.39250 & 0.00180 \\ 1.25000 & 0.39440 & 0.00190 \\ 1.26000 & 0.39620 & 0.00180 \\ 1.27000 & 0.39800 & 0.00180 \\ 1.28000 & 0.39970 & 0.00170 \\ 1.29000 & 0.40150 & 0.00180 \\ 1.30000 & 0.40320 & 0.00170 \\ 1.31000 & 0.40490 & 0.00170 \\ 1.32000 & 0.40660 & 0.00170 \\ 1.33000 & 0.40830 & 0.00170 \\ 1.34000 & 0.41010 & 0.00180 \\ 1.35000 & 0.41190 & 0.00180 \end{array}$

Tobias Ali 2021-06-05

Write each of the 'following statements as if-then statements: Advanced math students are intelligent.

Globokim8 2021-06-04

Draw two scatterplots with positive linear associations but different strengths.

Armorikam 2021-06-04

Would you anticipate a scatterplot demonstrating a relationship between "speed of a car" and "time it takes to drive 10 miles" to show a favorable, unfavorable, or no association? Explain your thinking.

Nannie Mack 2021-06-04

You randomly survey shoppers at a supermarket about whether they use reusable bags. Of 60 male shoppers 15 use reusable bags. Of 110 female shoppers, 60 use reusable bags. Organize your results in a two-way table. Include the marginal frequencies.

Caelan 2021-06-01

You randomly survey students in your school about whether they have a pet. You display your results in the two-way table. How many female students took the survey?
$\begin{array}{cc} Gender \\ Male & Female \\ Pet \\ Yes & 33 & 35 \\ No & 8 & 11 \end{array}$

emancipezN 2021-05-30

Justine works for an organization committed to raising money for Alzheimer’s research. From past experience, the organization knows that about 20% of all potential donors will agree to give something if contacted by phone. They also know that of all people donating, about 5% will give $100 or more. On average, how many potential donors will she have to contact until she gets her first $100 donor?

snowlovelydayM 2021-05-29

Sketch a scatterplot with two groups of cases (business and academic) that illustrates how a strong positive correlation within each group and a negative overall correlation can occur together.

shadsiei 2021-05-29

You randomly survey students at your school about what type of books they like to read. The two-way table shows your results. Find and interpret the marginal frequencies.

$\begin{array}{cc} Fiction \\ Likes & Dislikes \\ Non Fiction \\ Likes & 26 & 22 \\ Dislikes & 20 & 2 \end{array}$

Tazmin Horton 2021-05-28

Ruthie did a survey among her classmates comparing the time spent playing video games to the time spent studying. The scatterplot of her data is shown. a. What association can you make from her data? b. Use an ordered pair (x, y) to identify any outliers.

Dillard 2021-05-26

If $N = 48$ , find tCV and use it to draw a t distribution with the rare and common zones labeled.

Bevan Mcdonald 2021-05-26

3,645 rolls of landscape fabric are manufactured during one day. After being inspected, 121 of these rolls are rejected as imperfect. What percent of the rolls is rejected? (Round to the nearest whole percent.)

Isa Trevino 2021-05-26

Anthony has added a trend line to the scatterplot at right. Do you agree with where he put the line? Explain your reasoning.

ediculeN 2021-05-25

Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a female whose current age is x years old is $f (x) = 0.0069502 x^{2} - 1.6357 x + 93.76 60 \leq x \leq 75$ years. What is the life expectancy of a female whose current age is 65? Whose current age is 75?

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