Question

In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:

Three containers of the same shape but different sizes are shown, starting with the shortest and ending with the longest. The following quantities are written below the containers. x minus 10 liters below the first, x minus 5 liters below the second, and x liters below the third.

How many liters of water can the three containers hold in all?

x − 15
3x − 15
x3 + 50
3x3 − 15

Answer 1

@ganeshie8

Answer 2

what do you think ?

Answer 3

B

Answer 4

Correct.You just add up the individual volumes

Answer 5

An ice cream company did a survey among high school students. It was found that 86 students liked vanilla ice cream and 48 of those students liked chocolate ice cream also. There were 12 students who did not like vanilla ice cream but liked chocolate ice cream. There were 2 students who did not like either vanilla ice cream or chocolate ice cream.

Using a two-way table, predict the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

250
300
350
400

Answer 6

C?

Answer 7

The life spans, in years, of some plants in a nursery are shown below:

5, 3.2, 4.1, 3.8, 3.1, 3.2, 5.8, 3.8, 4.2, 4.3

Jack made the following box plot to represent the life spans:

box plot shows minimum at 3.1, first quartile at 3.2, median at 3.95, third quartile at 4.8 and maximum at 5.8

Which of the following did Jack show incorrectly on his box plot?

Median
Minimum
First quartile
Third quartile

Answer 8

A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows:

First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0

Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3

Which is the best measure of center for third period and why?

Interquartile range, because there is 1 outlier that affects the center
Standard deviation, because there are no outliers that affect the center
Mean, because there are no outliers that affect the center
Median, because there is 1 outlier that affects the center

Answer 9

A survey was conducted among 100 students of age groups 7–12 years and 13–18 years to find their favorite book genre. The students had to select any one genre out of detective, adventure, and biography. Out of the 50 students in the age group 7–12 years who participated in the survey, 23 liked adventure or biography. The total number of students of both age groups who liked detective books was 28.

Using a two-way table, compute the total number of students in the age group 13–18 years who liked adventure or biography.

23
27
49
51

Answer 10

Two graphs are shown below:

graph A shows scatter points 1, 3 and 2, 5 and 3, 7 and 4, 9 and 5, 11graph A shows scatter points 1, 11 and 2, 9 and 3, 7 and 4, 5 and 5, 3

Which scatter plot shows a linear relationship between x and y?

Only graph A
Only graph B
Both graph A and graph B
Neither graph A nor graph B

Answer 11

David tracks his calories burned while training for a meet. The number of calories he burns is expressed by the function c(t) = 704t, where t is the number of hours spent swimming.

To burn more calories, David wears flippers while he swims. The number of calories he burns while wearing flippers is expressed by the function b(c) = 1.3c, where c is the number of calories burned while swimming without flippers.

Which of the following composite functions expresses the calories, as a function of time, David burns while swimming with flippers?

b[c(t)] = 915.2t
b[c(t)] = 705.3t
c[b(t)] = 915.2t
c[b(t)] = 705.3t

Answer 12

The scatter plot below shows the relationship between the leaf length (x) and leaf width f(x), in mm, of some leaves of a tree:

ordered pairs 11, 0.5 and 12, 1 and 13, 1.5 and 14, 2 and 15, 2.5 and 16, 3 and 17, 3.5 and 18, 4 and 19, 4.5 and 20, 5 and 21, 5.5 and 22, 6

Which of the following functions is best represented by the scatter plot?

f(x) = −5 + 0.5x
f(x) = 5 + 0.5x
f(x) = x − 10.5
f(x) = −x − 10.5

Answer 13

@ganeshie8

Answer 14

The table below shows the amount of money, in hundreds of dollars, Cora has saved after different numbers of years:


Years (x) 1 2 3 4 5 6
Money (y) (hundreds of dollars) 10 20 30 40 50 60


Identify the function that represents Cora's savings and the amount that Cora will have saved in 8 years.
y = x + 10, in 8 years she will have saved $1,800
y = x + 60, in 8 years she will have saved $6,800
y = 6x, in 8 years she will have saved $4,800
y = 10x, in 8 years she will have saved $8,000

Answer 15

The box plots below show the lifespan, in months, of laptop batteries manufactured by four companies:

box plot labeled Company A shows minimum at 19, first quartile at 19.5, median at 23, third quartile at 23.5, and maximum at 24. Company B shows minimum at 21, first quartile at 22, median at 24, third quartile at 25, and maximum at 26. Company C shows minimum at 20, first quartile at 21, median at 22, third quartile at 24, and maximum at 28. Company D shows minimum at 19, first quartile at 20, median at 22.5, third quartile at 23.5, and maximum at 27.

Based on the data, which company's batteries have the highest median lifespan?

Company A
Company B
Company C
Company D

Answer 16

is it d?