Answer:
The y value of a point where a vertical line intersects a graph represents an output for that input x value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?
3 more boys; 5 for every 4
By using the given ratio, we will see that there are 15 boys and 12 girls.
How we can find the number of boys and girls in the class?
The given information is:
There are 3 more boys.There are 5 boys for every 4 girls.Now, notice that in the ratio we have a difference of 1 boy, so if we want to have a difference of 3 boys, we must multiplicate it by 3, then we get:
3*15 boys for every 3*4 girls (remember that you can multiply both quantities on the ratio and it does not change).
15 boys for every 12 girls.
Now the difference is 3.
15 - 12 = 3
So we can conclude that there are 15 boys and 12 girls.
If you want to learn more about ratios, you can read:
https://brainly.com/question/1781657
What do I do from here?
49627/28000 or you can use the decimal 1.77
Step-by-step explanation:
28x=49.627
divide both sides by 28
What Is 1 x 2 x 3 x 4 x 5/2
Answer:
60
Step-by-step explanation:
Please refer to the attachment
HELP PLEASE thank uuuuu
.
a²+25²=31²
31²-25²=a²
961-525=a²
a²=336
√a=√336
a=18.33
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
On a recent test, Ahmed knew many of the answers, but there were four questions he was unsure of. In each of the four questions, he was able to eliminate two answers as being clearly wrong and was left with three answer choices to choose from. In each of the four questions, he randomly selected one of the remaining three answers. Which of these statements describes how Ahmed could simulate this situation with a random number generator to determine if he will select the correct answers for these four questions?
It is impossible to simulate this with a random number generator without knowing what the correct answer choices were Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Leta 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. It is impossible to simulate this with a random number generator without knowing what the correct answer choices were. Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Let a 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,5) command four times to select four integers from 1 to 5. Leta 1 indicate a correct guess, and a 2, 3, 4, or 5 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses.
Answer:
It is impossible to simulate this with a random number generator without knowing what the correct answer choices were
Step-by-step explanation:
Given
[tex]Questions = 4[/tex]
[tex]Options = 5[/tex]
Required
How can he select the right answer
Using randint will only generate a random number which could or could not be the answer to the question.
This is so because each of the 5 options for the question has the same probability of 1/5. So, using randint will only generate a random number. This generated random number has 1/5 chance of being the answer and 4/5 of not being the answer to the question.
In a nutshell, he can not make use of a simulator to select the answer to the questions in this scenario, unless he knows the solution.
Hence (a) answers the question.
scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.
Answer:
28 minutes
Step-by-step explanation:
First Method
You can do normal subtract
[tex]2.58 \\ 2.30 \\ 0.28[/tex]
2:58 - 2:30 which is equivalent to 0.28 which means 28 minutes.
Second Method.
2:58
58minutes to hour = 58/60
2:30
30minutes to hour = 30/60
58/60 - 30/60
28/60 hour
0.4667 hour or 28 minutes.
Use the distributive property to simplify the following expression: 3 (2 + 5z)
The number of swings in use on average is.
Answer:
?
Step-by-step explanation:
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 80 and 5, respectively.
Assuming nothing is known about the distribution, what percentage of test-takers scored better than the trainee who scored 70?
a. Approximentaly 75%
b. Approximentaly all
c. At most 75%
d. At least 75%
e. None of the above
Answer:
d. At least 75%
Step-by-step explanation:
Since nothing is known about the distribution, we use the Chebyshev Theorem.
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this problem, we have that:
Mean = 80, standard deviation = 5.
What percentage of test-takers scored better than the trainee who scored 70?
70 = 80 - 2*5
So 70 is two standard deviations below the mean.
Due to the Chebyshev Theorem, we know that at least 75% of the measures are within 2 standard deviations of the mean, between 70 and 90, which means that this percentage is at least 75%, and the correct answer is given by option d.
Please help, thank you.
Simply:
Answer:
(-9 3/4)a + 10 2/5
Step-by-step explanation:
hey can you mark me brainliest if this is correct. Bc if its wrong, its very obvious why
Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?
Answer:
there in not enough information in your question to get an answer
Answer:
Part 1: Jeff Part 2: 130
Step-by-step explanation:
Rico spent $44 on 8 toy cars. If each toy car cost the same amount of money, how much did each car cost?
Answer:
$5.5
Step-by-step explanation:
Divide 44 into 5 to get what each car costs!
Answer: $5.50
Step-by-step explanation: 44 / 8 = 5 R5 = $44.00/ 8 = $5.50
Shawn buys 15 shirts for a total of $60. Express this as an equation using 'X' as the cost of each shirt.
Answer:
15x = 60
Step-by-step explanation:
Hi,
We know he bought 15 shirts for an x amount of dollars, so 15 times however much they cost is 15x and the total is 60.
hope this helps :)
A rectangle and 2 congruent quarter circles were
used to make the figure shown.
Which measurement is closest to the area of the
figure in square centimeters?
7 cm
A 148.5 cm2
110 cm
(В
109.3 cm2
5 cm
C 89.6 cm2
5 cm
D 85.7 cm2
25 points True or False.
The expressions 4(y−3)
and 4y−12
are equivalent?
Answer: true
Step-by-step explanation:
Simplifying the expression you end up with 4y^2 + 4y - 15 which is 3 terms.
The answer would be True.
Jose Luis desea colocar una línea de azulejos alrededor de toda la piscina de su casa. La piscina tiene forma rectangular con un ancho de 10 m y una longitud de 25 m. , ¿cuántos metros lineales de azulejos necesitará comprar?
Answer:
70
Step-by-step explanation:
2 x (25 + 10) = 2 x 35 = 70
help will give crown
Answer:
112 meters squared
Step-by-step explanation:
Rectangle area: 72
Triangle area: 20 times 2 (because there are two triangles) = 40
72 + 40 = 112
Find the exact value of sin A in simplest radical form.
Answer:
✓10/10
Step-by-step explanation:
sinA = 1/✓10
Rationalize the denominator by multiplying by ✓10:
sinA = 1✓10/✓10✓10
sinA = ✓10/10
The initial weight of a starving animal is Wo. Its weight after t days is given by
W = Woe-0.009
I
What percentage of its initial weight remains after 34 days?
A) 73.6%
B) 76.6%
C) 69.2%
D) 26.4%
Answer:
A) 73.6%
Step-by-step explanation:
The computation of the percentage is shown below
Given that
W = Woe^{-0.09t}
After 34 days
W = W_oe^{-0.009×34}
= 0.736W_o
Now the percentage is
= 0.736 × 100
= 73.6%
Please !!!!!
The diagonal of a
rectangle is 8 cm
long and the height
of the rectangle is 5
cm. Find the width of
the rectangle:
I need help please.
Tony works 22 hours per week. His take home pay is $15.80 per hour. If Tony is able to save all of his earnings, how
long will it take him to save at least $4,800?
a. 12 weeks
b. 13 weeks
C. 14 weeks
d. 15 weeks
Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
The answer is c.
Answer: letter C. 14 weeks
A television is discounted 20% in a sale. A shopper has a coupon for an additional 15% off the sale price. Which of the following is the total percent discount from the original price of the television?
The total percent discount arises from the real price of the television is 32%.
Given that,
The television should be discounted at 20% in the sale i.e. price after discount should be 0.80 of the real price There is an additional 15% off the sale price. So, 15% of 80% i.e. 12%.So, the total percent discount should be
= 20% + 12%
= 32%
Therefore we can conclude that The total percent discount arises from the real price of the television is 32%.
Learn more about the discount here: brainly.com/question/2736271
How would I solve this ? And what’s the answer..... ;\
(x + 3;x 23
Function: g = 6;1
x?;x51
find g(-3)
a) 0
b) 9
c) 6
d) -9
Answer:
Static Public Member Functions ... Get FWORD from string (Big Endian 16-bit signed integer). ... (62x88 mm ; 2.44x3.46 in); B9 (44x62 mm ; 1.73x2.44 in); B10 (31x44 mm ; 1.22x1.73 in) ...
Find the zero of the function:
y= x^2 - 4x - 3
Answer:
2 or positive
Step-by-step explanation:
2 x-intercepts
What is the value of c so that −15 and 15 are both solutions of x^2−c=157?
Answer: -c= 157+X^2
Step-by-step explanation:
A circle of sunflowers is planted in Stanford's central Park. The circle has a diameter of 12 feet. What is the circle's radius?
Answer:
Step-by-step explanation:
radius = ½×diameter = 6 ft
Select the correct answer. Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number of springtime bouquets. P = -5b^2 + 450b - 1,000
Which statement is true if Sarah needs to make a profit of at least $9,000?
A. Sarah must sell more than 90 bouquets.
B. Sarah must sell between 40 and 50 springtime bouquets.
C. Sarah must sell between 0 and 40 springtime bouquets.
D. Sarah must sell more than 50 springtime bouquets.
Answer:
B
Step-by-step explanation:
If you plug in the answers for guess and repeat this one works.
The correct statement is Sarah must sell between 40 and 50 springtime bouquets true if Sarah needs to make a profit of at least $9,000.
Given that,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
Where b is the number of springtime bouquets, [tex]P = -5b^2 + 450b - 1,000[/tex].
We have to determine,
Which statement is true if Sarah needs to make a profit of at least $9,000.
According to the question,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
[tex]P = -5b^2 + 450b - 1,000[/tex]
Divide the equation by -5,
[tex]P = -5b^2 + 450b - 1,000\\\\P = -b^2 + 90b - 200[/tex]
Factorize the equation for the value of profit,
[tex]b^2 - 90b +200 = 0\\\\b^2 -50b -40b +200= 0\\\\b ( b-50) - 40(b-50) = 0 \\\\(b-50) (b-40) = 0 \\\\b- 50 = 0, \ b = 50\\\\b - 40 = 0, \ b = 40[/tex]
Hence, Sarah must sell between 40 and 50 springtime bouquets.
To know more about Quadratic equations click the link given below.
https://brainly.com/question/22364785