in a classroom, 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. there are 36 students in the class. how many students are wearing a shirt other than blue or white?

QUESTION POSTED AT 14/12/2019 - 05:40 PM

Answered by admin AT 14/12/2019 - 05:40 PM

The fraction indicating the number of students who are not wearing either blue or white shirt is:
1- 1/6- 2/3= 1/6.

36 students* (1/6)= 6 students.

There are 6 students who are not wearing either a blue or a white shirt.

Hope this helps~
Post your answer

Related questions

The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. Find the measure of the smaller angle. A. 18° B. 36° C. 54° D. 58°

First we need to define our conditions. Since the angles are complimentary, the sum of the angles must be equal to 90 degrees.

let x = first angle
y = second angle

x + y = 90

from the second condition in the problem 

x + y =72 + x -y
solving for x

x= 54

therefore the shorter side is 90 - 54 = y

y = 36 degree, the shorter side

ANSWERED AT 20/01/2020 - 01:44 PM


QUESTION POSTED AT 20/01/2020 - 01:44 PM

A community college enrolled 96,000 students in 2007, and the enrollment has increased by 7% every year since then. Graph the exponential function, y, that gives the number of students enrolled in terms of t, where t is the number of years since 2007. -The graph of the function begins at y = 96,000. -The graph of the function does not have any asymptotes. -The graph of the function shows the exponential growth. -As t increases in the exponential function, the value of y approaches zero.

The formula of the function would be:
y = 96000(1.07)^t

The graph is an exponential function with y-intercept of 9600. The curve goes upward indefinitely as the value of time increases.

Therefore, from the choices, the statements that apply to the graph are:
-The graph of the function begins at y = 96,000.
-The graph of the function shows the exponential growth.

ANSWERED AT 20/01/2020 - 01:25 PM


QUESTION POSTED AT 20/01/2020 - 01:25 PM

A student factors 3x2 – 12 to the following. 3(x2 – 4) Which statement about 3(x2 – 4) is true? A. The expression is equivalent, and it is completely factored. / B.The expression is equivalent, but it is not completely factored./ C. The expression is not equivalent, but it is completely factored./ D.The expression is not equivalent, and it is not completely factored.

Answer:

Option B is correct that is the expression is equivalent, but it is not completely  factored.

Step-by-step explanation:

We have given an expression

3x^2-12

when we take the common factor out which is 3 from the expression we will get

3(x^2-4)

This expression is equivalent but is not completely factored because the term

(x^2-4)\text{can be further factored as}(x-2)\text{and}(x+2)\text{from the formula}a^2-b^2=(a+b)(a-b)

Hence, Option B is correct.

Option C and D are discarded because given factor is equivalent  

Option A is discarded  because expression is not completely factored.

 

ANSWERED AT 20/01/2020 - 01:22 PM


QUESTION POSTED AT 20/01/2020 - 01:22 PM

#1. A research group interested in understanding the effect of listening to classical music on learning mathematics conducted a study. One hundred students were randomly assigned to one of two groups. The first group listened to classical music as they learned a new lesson. The second group learned the same lesson with no music playing. Both groups were tested on the new material to determine how much they learned. The results for the two groups were compared. What kind of study is this? A. This is an observational study because students were randomly assigned to groups. B. This is an observational study because a treatment was applied to both groups. C. This is an experiment because a treatment was applied to a group. D. This is an experiment because students were able to choose which group to join. #3. ......Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. Is this an accurate predictor of how well students in the algebra class will perform on the test? A. Yes, because Angie is representative of the population in the algebra class B. Yes, because Angie scored high on the test so it must be easy C. No, because Angie is not representative of the population in the algebra class D. No, because Angie scored too high on the test

The correct answer to the first situation would be letter C. The situation was an experiment because a treatment was applied to the group (which in this case, is the experimental group).

The correct answer to the next question would be letter C. Angie is NOT are representative of the population in the algebra class.

ANSWERED AT 20/01/2020 - 01:04 PM


QUESTION POSTED AT 20/01/2020 - 01:04 PM

When critiquing an observational study, which four factors should be analyzed?A.Methodology, Results, Discussion, ConclusionB.Introduction, Results, Discussion, ConclusionC.Introduction, Methodology, Results, DiscussionD.Methodology, Causes, Results, Discussion this was in my math class, so that is why the subject is mathematics. Any help would be greatly appreciated.

Answer:

The correct answer is option C. Introduction, Methodology, Results, Discussion

Step-by-step explanation:

When critiquing an observational study, the following four factors should be analyzed == Introduction, Methodology, Results, Discussion.

Critiquing means the evaluation of any theory in a detailed and analytical way. This method is also called the IMRaD format.

ANSWERED AT 20/01/2020 - 12:54 PM


QUESTION POSTED AT 20/01/2020 - 12:54 PM

The number of non-text books read by college students ranges from 6 to 44. Using B as the variable, write an absolute value inequality that corresponds to this range.

Find the center of the range: (7+49)/2 = 28
Find the distance from the center to the end point: 49-28 = 21
----

Absolute inequality:
|B-28| <= 21

ANSWERED AT 20/01/2020 - 12:52 PM


QUESTION POSTED AT 20/01/2020 - 12:52 PM

* During the first week students of RSM solved 25 percent of their monthly quota of problems. In the second week, they solved 110 percent of the number of problems solved in the first week. In the third week they solved 60 percent of the problems they had solved during the first two weeks and, in the fourth week, they solved the remaining 320 problems. How many problems did the students solve during the month?

To solve the problem, let x be the number of monthly quota of problems. Below is the list of the problems solved each week,

1st week - 0.25x
2nd week - 1.10(0.25x)
3rd week - 0.6(0.25x + 1.10(0.25x))
4th week - 320

To solve for the monthly quota, equate the sum of all the problems solved to x and determine its value. Thus, the students solved 2000 problems all in all. 

ANSWERED AT 20/01/2020 - 12:50 PM


QUESTION POSTED AT 20/01/2020 - 12:50 PM

80% of 6-graders and 20% of 5-graders went on a field trip. If there are 20 6-graders and 80 5-graders, what percent of students went on this field trip?

Answer:

32% of students went on this field trip.

Step-by-step explanation:

Given : 80% of 6-graders and 20% of 5-graders went on a field trip. If there are 20 6-graders and 80 5-graders.

To find : What percent of students went on this field trip?

Solution :

Let A be the 6-graders students.

B be the 5-graders students.

We have given, A=20 and B = 60

According to question,

80% of 6-graders going on trip

i.e. =\frac{80}{100}\times A

=\frac{80}{100}\times 20

=16

20% of 5-graders going on trip

i.e. \frac{20}{100}\times B

=\frac{20}{100}\times 80

=16

Total number of students going on the field trip is

T=\frac{\frac{80}{100}\times A+\frac{20}{100}\times B}{20+80}

T=\frac{16+16}{100}

T=\frac{32}{100}

32 students out of 100 students.

Into percentage,

T\%=\frac{32}{100}\times 100=32\%

Therefore, 32% of students went on this field trip.

ANSWERED AT 20/01/2020 - 12:47 PM


QUESTION POSTED AT 20/01/2020 - 12:47 PM

Samuel is 1/2 as old as his brother.in seven years he will be 2/3 as old as his brother will be . find their present ages. Show each step

B = 2S
B + 7 = 1.5(S+7)

-----
2S+7 = 1.5S + 10.5
0.5S = 3.5
Samuel is 7
Bro is 14

ANSWERED AT 20/01/2020 - 12:44 PM


QUESTION POSTED AT 20/01/2020 - 12:44 PM

You are going on a class field trip. There will be 9 buses to take 322 students on the trip. Your teacher wants the 9 buses to carry an equal number of students. About how many students will there be on each bus?

There are 9 buses and 322 students.

Your teacher wants the buses to carry an equal number of students, however, when we do 322/9 to find out how many students are on each bus, the answer is 35.777777.  Therefore, there cannot be an equal number of students on each bus, but it would be close.

We know that there will be approximately 36 students on each bus, because 35.7 rounds up to 36.
If you are looking for the exact answer, then there will be 7 buses with 36 students each, and 2 buses with 35 students each, because (36*7) + (35 *2) = 322 students total.

Hope this helps!

ANSWERED AT 20/01/2020 - 12:41 PM


QUESTION POSTED AT 20/01/2020 - 12:41 PM

Teresa stated that the heights of the students in her class were not a function of their ages. Which reasoning could justify Teresa’s statement? A.Two students are the same age but have different heights. B.Two students have the same height but different ages. C.No two students are the same age or height.

Answer:

Option: A is the correct answer.

A.  Two students are the same age but have different heights.

Step-by-step explanation:

The height of a student could not be a function of the ages of a student because two or more students with the same age may have the different heights .

This means that a value on a x-axis (i.e.  age) is mapped to two or more  values i.e. corresponding y-value ( i.e.  different heights) which violates the definition of function.

Hence, option: A is the correct answer.

ANSWERED AT 20/01/2020 - 12:40 PM


QUESTION POSTED AT 20/01/2020 - 12:40 PM

0.4 (5-56)=6-(36+2)+0+0

0.4 (5-56)=6-(36+2)+0+0
Let's follow the rule PEMDAS
=> 
0.4 (5-56) = 6-(36+2)+0+0
=> 
2 - 22.4 = 6-38+0+0
=>
- 20.4 = -32
=> -20.4 + 32 = 11.6
=> 11.6 is the answer

ANSWERED AT 20/01/2020 - 12:34 PM


QUESTION POSTED AT 20/01/2020 - 12:34 PM

A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. the following display shows what their favorite color patterns were. blue on gray 4 green 9 pink polka dots ? purple 11 red and orange stripes 9 yellow 3 the counts have been recorded in the accompanying table according to pattern and the number of students who selected the pattern. what is missing value in the table?

There a total of 50 11th graders who had to choose between 6 different color patterns. Among the 6 patterns, only the students who had chosen the pink polka dots are missing. To look for this missing value, simply subtract 50 to the sum of all of the known values of the 5 other colors to obtain the number of students who had picked pink polka dots. This is shown below:

50 - 4 - 9 - 11 - 9 - 3 = x
X = 14

Therefore, there were 14 students who chose pink polka dots.

ANSWERED AT 20/01/2020 - 12:33 PM


QUESTION POSTED AT 20/01/2020 - 12:33 PM

Mrs. Rodrigues wants to compare the spread of the test scores of her two biology classes. Which statistic should she use?

The statistics she should use should be one of the measures of variability. There are 4 measures of variability, namely, the range, inter-quartile range, variance, and the standard deviation. She can use the interquartile range to compare the scores by percentile ranking if she wants to know it.

ANSWERED AT 20/01/2020 - 12:27 PM


QUESTION POSTED AT 20/01/2020 - 12:27 PM

Which angle measure below is not a possible measure of an exterior angle of a regular polygon? 45° 36° 40° 54°

All exterior angles of a regular polygon would equal 360 degrees. SO... based on that, one exterior angle would have to multiplied by whatever sum (whole number) to equal 360 degrees to find the number of sides. Here you divide 360 by one of the exterior angles, if it does not equal a whole number then it would be inaccurate.
In this case only 54 degrees would not fit into one of the exterior angles.

ANSWERED AT 20/01/2020 - 12:16 PM


QUESTION POSTED AT 20/01/2020 - 12:16 PM

Which is the solution set of the inequality 15y-9 < 36 y>9/5 y<9/5 y < 3 y>3

In solving for the solution set of the inequality 15y - 9 < 36, much like any other algebraic equation, the first step should be to isolate y. This is done as follows:

15y - 9 < 36

Adding 9 to both sides of the equation:
15y - 9 + 9 
< 36 + 9
15y 
< 45

Dividing both sides by 15 to isolate y:
15y/15 
< 45/15
< 3

Therefore the answer is the third choice y 
< 3.

ANSWERED AT 20/01/2020 - 12:08 PM


QUESTION POSTED AT 20/01/2020 - 12:08 PM

For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other. A. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, yes B. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, yes C. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, no D. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, no

To condition in which we can justify if the forces are pulling at right angles to each other is that the sum of the squares of the two lesser number should be equal to the square of the third number. 

For the first set: 12 lb, 13lb, 19lb. 

                                             12^2 + 13^2 ≠ 19^2

For the second set: 15 lb, 36 lb, 39 lb

                                             15^2 + 36^2 = 39^2

The first pair of forces do not pull at a right angle while the second do.
Thus, the answer is letter B. 

ANSWERED AT 20/01/2020 - 12:08 PM


QUESTION POSTED AT 20/01/2020 - 12:08 PM

A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to the sample mathematical work? Given the equation -m/2+8=-1/3, I must solve for m. I first subtract 8 from both sides, which gives me -m/2=-25/3 then multiply both sides by –2, which gives me the final answer of m=50/3

Although the given statements are missing, the student's step-by-step solution is correct. The student had aimed to isolate the unknown variable in order to solve it. The student made sure the first step was to leave only one term in the side with the variable, before simplifying fractions.

ANSWERED AT 20/01/2020 - 12:07 PM


QUESTION POSTED AT 20/01/2020 - 12:07 PM

Suppose is a semester that 38% of students at a college failed mathematics, 27% failed physics, and 9% failed both. A student is selected at random. a)If a student failed physics, what is the probability that he or she failed math? b)If a student failed math, what is the probability he or she failed physics? c) What is the probability that he or she failed math or physics?

=>  38% of students at a college failed mathematics
 => 27% failed physics, and=> 9% failed both. A student is selected at random.

a)If a student failed physics, what is the probability that he or she failed math?
=> 1/38 
b)If a student failed math, what is the probability he or she failed physics?
=> 1/27
c) What is the probability that he or she failed math or physics?
=> 1/9

ANSWERED AT 20/01/2020 - 12:01 PM


QUESTION POSTED AT 20/01/2020 - 12:01 PM

Which shows 232 − 172 being evaluated using the difference of perfect squares method? 232 − 172 = (529 + 289)(529 − 289) = 196,320 232 − 172 = 529 − 289 = 240 232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240 232 − 172 = (23 − 17)2 = (6)2 = 36

When a binomial is composed of two perfect squares separated by a subtraction symbol, a certain method called the difference of perfect squares can be used. The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots. This is shown below:

23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240 

ANSWERED AT 20/01/2020 - 12:00 PM


QUESTION POSTED AT 20/01/2020 - 12:00 PM

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 8y + 7z = 1 Which of these is a possible step used in eliminating the y-term? (y + z = 6) ⋅ −8 (y + z = 6) ⋅ 7 (8y + 7z = 1) ⋅ 7 (8y + 7z = 1) ⋅ 8

Answer:

Option B is the correct answer.

Step-by-step explanation:

For eliminating y term we need to make coefficients of y in both equations same.

Equation P: y + z = 6

Equation Q: 8y + 7z = 1

Coefficients of y in equation P = 1

Coefficients of y in equation Q = 7

So we need to multiply equation P with 7.

That is (y + z = 6) x 7

Option B is the correct answer.

ANSWERED AT 20/01/2020 - 11:46 AM


QUESTION POSTED AT 20/01/2020 - 11:46 AM

Which statement correctly describes a property of white light? A. It makes all objects appear white. B. It contains different wavelengths of visible light. C. It allows light waves to be transmitted. D. It contains all waves on the electromagnetic spectrum.

The statement that correctly describes a property of white light is that it b) contains different wavelengths of visible light. 
When white light strikes any object that reflects any wavelength of visible light, that object appears to be the color that it reflects. 

ANSWERED AT 20/01/2020 - 11:46 AM


QUESTION POSTED AT 20/01/2020 - 11:46 AM

Find the student’s error in solving the following inequality. 31 < –5x + 6 25 < –5x –5 < x a. The student should have added 6 to both sides instead of subtracting it. b. The student divided 25/–5 incorrectly. c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Answer: c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Step-by-step explanation:

From the given steps, the last step is done wrong by student.

When we multiply or divide any negative number on vboth sided of the inequality, the sign of inequality reverse its direction .

In the last step student divide the inequality by -5 but didn't switch direction of the inequality sign.

hence, c is the right option "The student should have switched the direction of the inequality sign to get –5> x for a final answer."

ANSWERED AT 20/01/2020 - 11:45 AM


QUESTION POSTED AT 20/01/2020 - 11:45 AM

The two box-and-whisker plots below show the scores on a math exam for two classes. What do the interquartile ranges tell you about the two classes?

The interquartile range is a measure that indicates the extent to which the central 50% of values within the data set are dispersed.
The interquartile range: Upper quartile - Lower quartile
As we can see in the box-and-whisker plots:
Class A:  89-66 = 23
Class B: 94-79 = 15
This shows that the spread in the scores of class A within the central 50% of values is higher than the spread of the scores of the class B.

ANSWERED AT 20/01/2020 - 11:42 AM


QUESTION POSTED AT 20/01/2020 - 11:42 AM

The distribution of GPAs is normally distributed with a mean of 2.7 pounds and a standard deviation of 0.3. Approximately what percentage of students has GPAs above 3.0?

The best answer to this statistic question would be 15.7% or, if rounded off, 16%. This is because those students who have GPAs are approximately at least 1 standard deviation away from the mean and more - which means that 84% of the GPAs are less then 3 pounds. I subtracted 84 from 99.7 (which is the whole distribution's percentage) and came up with 15.7.

ANSWERED AT 20/01/2020 - 11:26 AM


QUESTION POSTED AT 20/01/2020 - 11:26 AM

Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue? A. 2/51 B. 3/20 C.1/10 D.4/153

B- 3/20. first, add up the number of balls in each urn. 
urn 1- 10
urn 2- 8
then, make a fraction where the numerator is the number of blue balls in the urn and the denominator is the total number of balls
urn 1- 6/10 (simplified to 3/5)
urn 2- 2/8 (simplified to 1/4)
finally, multiply your two probabilities and simplify
1/4*3/5=3/20

ANSWERED AT 20/01/2020 - 11:24 AM


QUESTION POSTED AT 20/01/2020 - 11:24 AM