'Option B' is the correct answer....
The number of ways that students chose not a seventh grader will be 31 thus option (B) is correct
What are permutation and combination?When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.
The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.
As per the given,
There are 15 sixth graders, 10 seventh graders, and 16 eighth graders in a gym class.
Total number of students = 15 + 10 + 16 = 41
Students that not in 7th grade = 41 - 10 = 31
The number of ways to choose 1 from 31
31C1 = 31
Hence "There were 31 different methods in which students decided not to be a seventh grader".
For more about permutation and combination,
https://brainly.com/question/13387529
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What is Associative property mean?
Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
frank made $156.00 12 hours of work. at the same rate, how many hours would he have to work to make $221?
Answer:
17 hours
Step-by-step explanation:
We first need to find the hourly rate:
156 / 12 = 13
Hourly Rate: $13
Now we can divide 221 by 13, this gives us 17.
That means that Frank will have to work 17 hours to make $221.
Hope this helps!
Need help ASAP! Giving Brainliest!
ok thats cool ig what do you need help with
Answer:
A
Step-by-step explanation:
Have a nice day :)
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Step-by-step explanation:
I would appreciate if someone could answer this:)
Answer:
17
Step-by-step explanation:
4a - 4 = 2a + 30
2a = 34
a = 17
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C = 0.04 x 2 − 5 x + 900 . What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?
The minimum average cost is ?
The number of DVD/Blu-ray players that should be build to acheive the minimum is?
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
What is the range of the function represented by the graph?
Answer:
y ≥ 1
Step-by-step explanation:
The range is the values the y value can take
y ≥ 1
what is butterfly cycle
The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.
mark me brainliesttt :)))
Siobhan needs to fill her cylindrical shaped fish tank. The base of the fish tank has a diameter of 10 in, and the height of the fish tank is 8 in. Which statement describes how Siobhan can find out how much water she needs to fill the fish tank
Answer:
C = 5^2 * Pi * 8
Step-by-step explanation:
Formula = [tex]r^{2}[/tex]*Pi*h
r = d / 2
d=10, so r=5
h = 8
Use the graph of f(x) to estimate f(3).
Answer:
f(3) = -8
Step-by-step explanation:
f(3) means find the y value when x=3
Using the graph the y value when x =3 is -8
f(3) = -8
In timara math class there are, 12 boys and 15 girls which of the following in the ratio to boys and girls in timaras math class?
Answer:
4:5
Step-by-step explanation:
If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.
However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.
12:15
= 4:5
So, the ratio of boys to girls in Timara's class is 4:5
Solve the equation. Enter the number only.
4/7z + 2/3z = 13
Answer:
10.5
Step-by-step explanation:
common denominator for 7z and 3z is 21z
4/7z = 12/21z
2/3z = 14/21z
12/21z + 14/21z = 13
26/21z = 13
cross-multiply to get:
26z = 273
z = 273/26
z = 10.5
Answer:
z = 10.5
Step-by-step explanation:
(4/7)z + (2/3)z = 13
multiply by 21 to eliminate the fractions
12z + 14z = 273
26z = 273
Divide both sides by 26
z = 10.5
Plz help me I will give you 40 points and Brainly if it is right
Answer:
sorry I can't solve the problemCary earned $56 for 7 hours of babysitting.
How much would Cary earn for 55 hours of babysitting?
Answer:
440.
Step-by-step explanation:
56/7=8
8x55=440.
Answer:
440
Step-by-step explanation:
56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.
Which list of numbers are valid for both inequalities?
-2
-3
-1
0
1
2
3
4
5
8
7
O -1,0,1
0, 1, 2
0 -1,0, 1, 2
0 -3, -2, -1, 0, 1, 2, 3, 4
Answer:
-1, 0, 1
Step-by-step explanation:
the blue and red lines overlap to give a solid dot above -1 through to 2, which has an open dot above
therefore, -1 ,0, 1 are the only integers that would be in the solution set
A pie tin has an area of 81 pi square inches. Which choice below is closest to its
circumference?
Answer:
can i have the choices
Step-by-step explanation:
7. A biscuit recipe calls for these
ingredients:
3/8
cup of brown sugar
- 2 1/2 cups of flour and
1/3 cup of white sugar
b) Would a bowl that holds 3 cups
be big enough to hold all three
ingredients? Explain how you know.
Hope this explanation helps. :)
find the value of x? please I really need help
Answer:
the answer to x is 33
Step-by-step explanation:
The whole thing must equal 180 degrees
A researcher extracts information about hospital readmissions from a population of 6,000 client records. The researcher samples every 20th record from the population, beginning with record number 5. What type of sampling did the researcher use?
Answer: Systematic sampling
Step-by-step explanation:
Systematic sampling is a method when sample members from a population are selected based on a random starting point but in this case, there's a fixed, periodic interval.
It involves the selection of every kth case from the population given. Since the researcher extracts information about hospital readmissions from a population of 6,000 client records and samples every 20th record from the population, beginning with record number 5, then this is a systematic sampling.
write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS
Answer:
2*3
Step-by-step explanation:
multiplying 2 the difference subtraction of 9-7 your answer is 2*3
Find the surface area of each solid figure
Answer:
Step-by-step explanation:
A bug starts at position (-3, -3) on the floor. It crawls along the vector (2, 6). What is the the final position of the bug on the floor? How far and in what direction did it crawl to get there?
Step-by-step explanation:
the final position = (-3+2 , -3+6) => (-1, 3)
the distance from the origin point =
√(2²+6²) = √(4+36) = √40 units or 6.3 units
the direction = tan~¹ 6/2 = 71.6°
A physics class has students. Of these, students are physics majors and students are female. Of the physics majors, are female. Find the probability that a randomly selected student is female or a physics major.
Answer:
[tex]P(Female\ or\ Physics) = 0.38[/tex]
Step-by-step explanation:
Given
[tex]n = 50[/tex] --- total
[tex]Physics =10[/tex]
[tex]Female= 12[/tex]
[tex]Both = 3[/tex]
Required
[tex]P(Female\ or\ Physics)[/tex]
This is calculated as:
[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]
So, we have:
[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]
[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]
[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]
[tex]P(Female\ or\ Physics) = 0.38[/tex]
A number y divided by 3 is at least - 19.
Answer:
-57
Step-by-step explanation:
-19 * 3 = -57
Hope this helps!
solving quadratic equation using the completing the square method. (a).x²+20x-12=0
Answer:
[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Step-by-step explanation:
x²+20x-12=0
a = 1, b = 20, c = -12
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]
[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Given that BC is a tangent to the circle at B and CD is a tangent to the circle at D and also that the angle DAB is 115, calculate the size of angle BCD?
Step-by-step explanation:
the answer is in the above image
Question 5 of 23
What is the solution to the inequality below?
√x<3
A. x < 9 or x 20
B. x < 9 and x > 0
C. x< 9 or x>-9
D. x < 9 and x>-9
Answer:
Step-by-step explanation:
On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
check the picture
Step-by-step explanation:
I hope this help
To rent a car Cesar must pay $15 a day plus 50 for every mile he drives. in dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?
Answer:
Step-by-step explanation:
1. 50x50 (because 1 mile= $50)=2500
2. 15x3 (because you need to pay 15 dollars a day)= 45
3. 2500+45= $2545
( plus tax that would be $2,875.85 IF YOUR IN CANADA )
