consider an example with 100 students where 20 are taking discrete math, 30 are taking java, 25 are taking web design, 6 are taking discrete math and java, 8 are taking discrete math and web design, 10 are taking java and web design and 5 are taking all three classes. how many students are not taking any of these three classes?
Answers
There are 44 students taking discrete math and web design any of the three classes.
To determine the number of students taking any of the three classes (discrete math, Java, and web design), to subtract the total number of students taking at least one of the classes from the total number of students.
Let's calculate it step by step:
Total number of students = 100
Number of students taking discrete math (D) = 20
Number of students taking Java (J) = 30
Number of students taking web design (W) = 25
Number of students taking both discrete math and Java (D ∩ J) = 6
Number of students taking both discrete math and web design (D ∩ W) = 8
Number of students taking both Java and web design (J ∩ W) = 10
Number of students taking all three classes (D ∩ J ∩ W) = 5
Now, let's calculate the number of students taking :
Total number of students taking at least one class = (D) + (J) + (W) - (D ∩ J) - (D ∩ W) - (J ∩ W) + (D ∩ J ∩ W)
= 20 + 30 + 25 - 6 - 8 - 10 + 5
= 56
Finally, to find the number of students not taking any of the three classes:
Number of students not taking any class = Total number of students - Total number of students taking
= 100 - 56
= 44
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Related Questions
The temperature on a winter night was -21 F. The temperature rose by 7 F when the sun came up. When the sun set again, the temperature dropped by 9 F. Find the temperature after the sun set.
Answers
Answer:
-23
Step-by-step explanation:
-21 + 7 is -14
-14 - 9 is -23
A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function.=L(d)=189-7dAnswer the following questions.(a)How many days will it take the crew to lay all the track?days(b)How many miles of track does the crew have left to lay after 17 days?miles
Answers
Answer:
(a) 27 days
(b) 70 miles
Step-by-step explanation:
Given that the track remaining to be laid is L(d) = 189 -7d, you want (a) the number of days to lay all the track, and (b) the amount remaining after 17 days.
(a) Total lengthWhen the amount remaining is 0, the number of days that have elapsed is ...
0 = L(d)
0 = 189 -7d
7d = 189 . . . . . . add 7d
d = 27 . . . . . . . . divide by 7
It will take the crew 27 days to lay all the track.
(b) RemainingThe track remaining after 17 days is ...
L(17) = 189 -7(17) = 189 -119 = 70
70 miles of track remain to be laid after 17 days.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 7x²
Also, we have
Vertex = (3, 5)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (3, 5)
Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 3)² + 5
This also means that
f(x) = 7(x - 3)² + 5
The 7 is gotten from f(x) = 7x²
Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5
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Plzzzzz i need help fast
Answers
Answer:mode is 0
`
Step-by-step explanation:mode is the most repeated value
I totally agree with the person above.
I'll send a pic ! I need a rlly fast response !!
Answers
The expression given is:
\((3^3\cdot3^{-1})^{-2}\)One property of exponents that we know is:
\(a^xa^y=a^{x+y}\)We use this property shown above to simplify the expression:
\(\begin{gathered} (3^3\cdot3^{-1})^{-2} \\ =(3^{3-1})^{-2} \\ =(3^2)^{-2} \end{gathered}\)Now, we use the power property of exponents, which is:
\((a^b)^c=a^{bc}\)to simplify our expression, fully:
\(\begin{gathered} (3^2)^{-2} \\ =3^{2\times-2} \\ =3^{-4} \end{gathered}\)Using the property:
\(a^{-n}=\frac{1}{a^n}\)we can write the answer as:
\(3^{-4}=\frac{1}{3^4}=\frac{1}{81}\)From the choices, given, we can say:
• 2nd choice is correct
,• 3rd choice is correct
\(3^{-11}\cdot3^7=3^{-11+7}=3^{-4}\)Is this correct.... I not really good at math... plz help me
Answers
Answer:
noStep-by-step explanation:
In order to figure out the problem try to make the twenty into ten. also remember that 20% is 2/10 or 1/5. so if you want to do it with ten pieces how many color in two, or with 20 what’s one fifth of 20? It’s 4. So you need to shade in 4 pieces.
3 - 5 + 3(2 - 1) + 4 = 2 =
A)3.5 B)2.5 C)3 D)5
Answers
Answer:
C. 3Step-by-step explanation:
Follow (PEMDAS) order of operations
\(3-5+3\left(2-1\right)+4\div \:2\\\\3-5+3\cdot \:1+4\div \:2\\\\3-5+3+4\div \:2\\\\3-5+3+2\\\\3\)
~
What is the completely factored form of
x4−16x4−16
Answers
x*4-16x*4-16
4x-64x-16
-60x-16
A rhombus where the left side of the horizontal diagonal has length 2 meters and the right side of the horizontal diagonal has length 2 meters. The top of the vertical diagonal has length 5.5 meters and the bottom of the vertical diagonal has length 5.5 meters.
What is the area of the rhombus?
11 m2
15 m2
22 m2
44 m2
PLEASE HURRY
Answers
Answer:
15 m2 is the answer
Step-by-step explanation:
The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. so, the answer is 15 m2
Answer: 22 m2
Step-by-step explanation:
9. Steve claimed he had a slow start and could not keep the pace. Use the data from the rateof change to argue or defined this.10. Explain how a graph can show a rate of change more easily that a data chart.
Answers
We can see from Steves rate of change that it was steeper than Peters. That means that it took more minutes per kilometer for each kilometer. It is easier to compare when seeing it on the graph. The steeper the line, the steeper the rate of change.
how much money will you earn if you get 3 million views on tlk tok or 3 million likes and or about 500k followers?
And how much money would you make per view/like?
Answers
Answer:
According to business insider, you can make an average of $0.01 to $0.02 for each sponsored view on TikTok. So if you have a video with 100,000 views, you can make 1000 dollars in sponsorships. After you have built a following on the app, you can reach out to brands and offer your services.He said that a creator with one million followers and good engagement should charge between $5,000 and $10,000 for a sponsorship on TikTok. That number is constantly shifting, however, as the platform matures.
Step-by-step explanation:
Which of the following is equivalent to the expression 2 + x + 3y + -4x?
O-3x+3+2
O-3x + 3y
O-3+ 3y + 2
O-3x+3y + 2
Answers
Answer:
Step-by-step explanation:
2+(-4x)+x+3y
=2-3x+3y
=-3x+3y+2
PLEASE HELP!!! WILL GIVE BRAINLIEST
Answers
y=-10x-29 and y=-59
substitute the y in the equation for -59:
-59=-10x-29
add 29 on both sides
-30=-10x
divide both sides by -10
3=x
so,
x=3
Mrs. Cyan paid $105 for flower boxes. Each
flower box cost $7. How many flower boxes
did she buy?
Answers
Simply (x-4) (x^2 + 3x - 1)
Answers
I found the answer as :
x³ - x² - 13x + 4
Answer:
Step-by-step explanation:
x^3 + 3x^2 -x -4x^2 - 12x + 4
x^3 - x^2 - 13x + 4
Use the graph of the parabola to fill in the table .
Answers
Using the given graph we can answer the questions:
a. The parabola opens upward.
b. The coordinates of the vertex, which is the point at the bottom of the parabola, are (2,1).
c. The equation of the axis of symmetry is x=2.
d. The y intercept is 5.
The graph has no x intercepts.
An electric current of 0.25 A passes through a circuit that has a resistance of
150 (ohm math symbol). According to Ohm's law, what is the voltage of the circuit?
A. 150.3 V
B. 0.002 V
C. 600 V
D. 37.5 V
Answers
Answer: 37.5 V
Step-by-step explanation:
The slope of the line below is 5. Which of the following is the point-slope form of the line?
Answers
The point-slope form of the line is y -3 = 5(x + 1).
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The slope of the line shown in the graph is 5.
And line passes through point (-1, 3).
So,
If a line passes through a point (x₁ ,y₁) and have a slope m,
then the equation of line is,
y - y₁ = m(x - x₁)
So,
y -3 = 5(x + 1)
Therefore, the equation of the line is y -3 = 5(x + 1).
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On a map, 2.5 inches represents 52 miles. What is the actual distance represented by 5 inches on the map?2.5/52=5/x
Answers
The scale provided is, 2.5 inches to represent 52 miles.
Therefore;
\(\begin{gathered} 1\text{inch}=\frac{52}{2.5}\text{miles} \\ 5\text{inches}=\frac{52}{2.5}\times5\text{ miles} \\ 5\text{inches}=104\text{miles} \end{gathered}\)The rate of conversion is determined as 1 inch to represent 52 miles divided by 2.5 and that gives us 20.8 miles (for every inch on the map). Next, we simply multiply this rate by 5, when given a distance of 5 inches on the map
help me pls! Ty so much (no links)
Answers
Answer:
37.4 is the correct answer.
Step-by-step explanation:
37.3+0.1=37.4
Answer: 37.4
Step-by-step explanation: 37.3+0.1=37.4 Hope this helps. Can u give me brainliest
Simplify the expression.
-10a -
3a
Answers
Answer:
-13a
Step-by-step explanation:
they are like terms so it means they will add each other giving you -13a
:)
Answer:
-13a
Step-by-step explanation:
-10a-3a=13a
hope it helps.
The production function of Tom's firm is given by qt=F(Lt,Kt)=79Lt0.3Kt0.7 and the production function of Dana's firm is given by qd=F(Ld,Kd)=47 Ld0.8 Kd0.3 where q denotes the output amount produced by the firm of person i and Li and Ki denote the amount of labour and capital used by the firm of person i,i=t (for "Tom"), d (for "Dana"). firm uses the larger capital-to-labour ratio. Then enter below the value of z, where z is given by z=LdKdLtKt
Answers
The value of z is determined by capital-to-labor ratio and it is greater than 1.
The value of z is determined by the capital-to-labor ratio of each firm, specifically the ratio between the capital used (K) and the labor employed (L). To find the value of z, we need to compare the capital-to-labor ratios of Tom's firm (Kt/Lt) and Dana's firm (Kd/Ld).
Comparing the production functions, we can see that Tom's firm has a capital exponent of 0.7, while Dana's firm has a capital exponent of 0.3. Similarly, Tom's firm has a labor exponent of 0.3, while Dana's firm has a labor exponent of 0.8.
Since the capital exponent in Tom's firm (0.7) is greater than the capital exponent in Dana's firm (0.3), Tom's firm has a larger capital-to-labor ratio. This implies that Tom's firm uses relatively more capital compared to labor in the production process.
Therefore, z, which represents the ratio of Dana's firm's capital-to-labor ratio to Tom's firm's capital-to-labor ratio, will be less than 1. This means that Dana's firm uses relatively less capital compared to labor.
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using only the digits $7$, $8$ and $9$, how many positive seven-digit integers can be made that are palindromes?
Answers
Using the digits 7,8 and 9, the positive seven-digit integers can be made that are palindromes are 729.
When constructing a seven-digit palindrome out of the digits 7, 8, and 9, the first three digits must be the same as the last three digits in reverse order.
This means that each of the first three digits can be either a 7, 8, or 9. Therefore, the total number of combinations for the first three digits is 3 x 3 x 3 = 27.
Since the last three digits must match the first three, the total number of possible combinations of integers is 27 x 27 = 729.
Thus, the total number of positive seven-digit palindromes that can be created using the digits 7, 8 and 9 is 729.
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fing the midpoint of A(1-4) and B(-2;-7)
Answers
You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month.
A. $72.31 – ($17.92 – $15.33); $69.72
B. $72.31 + $17.92 + $15.33; $105.56
C. $72.31 + ($17.92 – $15.33); $74.90
D. $72.31 – $17.92 – $15.33; $39.06
Answers
Answer:
D. $72.31 – $17.92 – $15.33; $39.06Step-by-step explanation:
Initial amount is x
Deposits made:
$17.92$15.33Total amount is:
x + $17.92 + $15.33 = $72.31Balance at the beginning of the month
x = $72.31 - ($17.92 + $15.33) = $39.06Option D is correct
f(x) = xe-x ce-x, for what positive value of c does f have an absolute minimum at x = -5?
Answers
The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.
To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.
However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.
Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).
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use a coordinate proof to prove that the mid segment MN of pqr is parallel to PR and half the length of PR. What is the best first step?
Answers
In order to make the process easier, it is convenient to place the triangle on a coordinate grid such that vertex P is at the origin and PR lies on the x axis:
If 5 times + 2=12 then x=?
Answers
Answer:
if 5x+2=12 then x=5
Step-by-step explanation:
5x+2=12
5x=10
10/2
x=5
Answer:
I saw an answer for this one and saw it was incorrect
Step-by-step explanation:
5x + 2 = 12
5x = 12 - 2 ( moved the constant to the right )
5x = 10 ( both sided needed to be divided by 5 )
x = 2
Of the 24 items that Jamal has sold, 25% are CDs. Jamal has sold
4 more T-shirts than CDs. How much profit has the band earned
from Jamal's sales?
Answers
Answer: Not applicable
Step-by-step explanation:
To determine the profit earned from Jamal's sales, we need more information such as the price of each item and the total profit earned from each item. Without this information, it is impossible to calculate the profit earned from Jamal's sales.
The _____ is used to test the significance of the population coefficient of determination.
A. chi-square distrubution
B. normal distribution
C. Student's t-distribution
D. F-distribution
Answers
The F-distribution is used to test the significance of the population coefficient of determination (option D).
The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.
To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.
The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.
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