a group of tenth - grade students responded to a survey that asked which math course they were currently…

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?\na) females taking geometry\nb) females taking algebra ii\nc) males taking geometry\nd) males taking algebra i\n\nthe 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?\na) mean\nb) median\nc) range\nd) they will all change by the same amount.\n\nquestions 15 and 16 refer to the following information.\nthe graph above displays the total cost c, in dollars, of renting a boat for h hours.\n15. what does the c - intercept represent in the graph?\na) the initial cost of renting the boat\nb) the total number of boats rented\nc) the total number of hours the boat is rented\nd) the increase in cost to rent the boat for each additional hour\n\n16. which of the following represents the relationship between h and c?\na) c = 5h\nb) c=\frac{3}{4}h + 5\nc) c = 3h+5\nd) h = 3c\n\n17. 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?\na) - 5\nb) - 3\nc) - 2\nd) 3

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?\na) females taking geometry\nb) females taking algebra ii\nc) males taking geometry\nd) males taking algebra i\n\nthe 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?\na) mean\nb) median\nc) range\nd) they will all change by the same amount.\n\nquestions 15 and 16 refer to the following information.\nthe graph above displays the total cost c, in dollars, of renting a boat for h hours.\n15. what does the c - intercept represent in the graph?\na) the initial cost of renting the boat\nb) the total number of boats rented\nc) the total number of hours the boat is rented\nd) the increase in cost to rent the boat for each additional hour\n\n16. which of the following represents the relationship between h and c?\na) c = 5h\nb) c=\frac{3}{4}h + 5\nc) c = 3h+5\nd) h = 3c\n\n17. 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?\na) - 5\nb) - 3\nc) - 2\nd) 3

Answer

Question 13

Explanation:

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.

Answer:

C. Males taking Geometry

Question 14

Explanation:

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.

Answer:

C. Range

Question 15

Explanation:

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:

A. The initial cost of renting the boat

Question 16

Explanation:

The line passes through the points $(0,4)$ and $(4,16)$. The slope $m=\frac{16 - 4}{4-0}=\frac{12}{4}=3$. Using the slope - intercept form $C=mh + b$, with $b = 4$ (the $C$ - intercept), the equation is $C = 3h+4$. But if we assume there is a small error in reading the graph and consider the closest form among the options, we can also use the point - slope form. We know that the general form of a line is $C - C_1=m(h - h_1)$. Using the point $(0,4)$ and $m = 3$, we get $C-4 = 3(h - 0)$ or $C = 3h+4$. Among the given options, the closest is $C = 3h + 5$ (might be due to graph - reading inaccuracies).

Answer:

C. $C = 3h+5$

Question 17

Explanation:

By looking at the graph of $y = f(x)$, we can see that the minimum value of the function occurs at $x=-2$.

Answer:

C. - 2