Question

a group of tenth - grade students responded to a survey that asked which math course they were currently enrolled in. the survey data was broken down as shown in the table above. which of the following categories accounts for approximately 19 percent of all the survey respondents?
a) females taking geometry
b) females taking algebra ii
c) males taking geometry
d) males taking algebra i

the table above lists the lengths, to the nearest inch, of a random sample of 21 brown bullhead fish. the outlier measurement of 24 inches is an error. of the mean, median, and range of the values listed, which will change the most if the 24 - inch measurement is removed from the data?
a) mean
b) median
c) range
d) they will all change by the same amount.

questions 15 and 16 refer to the following information.
the graph above displays the total cost c, in dollars, of renting a boat for h hours.

1. what does the c - intercept represent in the graph?

a) the initial cost of renting the boat
b) the total number of boats rented
c) the total number of hours the boat is rented
d) the increase in cost to rent the boat for each additional hour

1. which of the following represents the relationship between h and c?

a) c = 5h
b) c=\frac{3}{4}h + 5
c) c = 3h+5
d) h = 3c

1. the complete graph of the function f is shown in the xy - plane above. for what value of x is the value of f(x) at its minimum?

a) - 5
b) - 3
c) - 2
d) 3

Explanation:

Question 13

Step1: Calculate 19% of total respondents

The total number of respondents is 310. 19% of 310 is $0.19\times310 = 58.9\approx59$.

Step2: Check each option

A. Females taking Geometry: 53.
B. Females taking Algebra II: 62.
C. Males taking Geometry: 59.
D. Males taking Algebra I: 44.

Step1: Calculate mean before removal

The sum of all lengths is $8 + 9\times3+10\times2 + 11\times3+12\times5+13\times3+14\times2+15+24=252$. Mean $\bar{x}_1=\frac{252}{21}=12$.

Step2: Calculate mean after removal

The sum after removing 24 is $252 - 24=228$. Mean $\bar{x}_2=\frac{228}{20}=11.4$. Change in mean is $12 - 11.4 = 0.6$.

Step3: Calculate median before removal

Arrange in ascending - order. Since $n = 21$ (odd), median is the 11 - th value, which is 12.
After removing 24, $n = 20$ (even), median is the average of 10 - th and 11 - th values, still 12. Change in median is 0.

Step4: Calculate range before removal

Range $R_1=24 - 8 = 16$.
After removal, $R_2=15 - 8 = 7$. Change in range is $16 - 7 = 9$.
Since the change in range is the largest.

In the equation of a line $y=mx + b$ (here $C=mh + b$), the $y$ - intercept ($C$ - intercept when $h = 0$) represents the initial value. In the context of renting a boat, when $h = 0$ (no time has passed for renting), the $C$ - intercept represents the initial cost of renting the boat.

Answer:

C. Males taking Geometry

Question 14