of
The local high school had 1,000 bottles of water on hand. The school issued 4
the supply to the 9th grade, ş of the supply to the 10th grade, and 3 of the supply
to the 11th grade. How many bottles remained for the 12th grade?
Answer: the 12th graders get 150 bottles
how did i get 150?:
we know the total amount is 1,000 bottles of water
since 9th graders got 1/4 of the bottles. 1/4 of 1,000 is 250
10th graders: 1/5 of 1,000 is 200
11th graders: 2/5 of 1,000 is 400
now we ADD all of the sums together: 250+200+400 (doesnt matter which order but do go in order to not confuse yourself) the total should be 850.
FINALLY we subtract 1,000 - 850 = 150 bottles that are left for the 12th graders.
what is the greatest common factor of 160 and 198?
Hey there!
[tex]\large\textsf{FACTORS OF 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, \& 160}[/tex]
[tex]\large\textsf{FACTORS OF 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, \& 198}[/tex]
[tex]\large\text{Go through the factors to see if there’s any like terms and if you find any,} \\\large\text{look for the greatest one the numbers share together.}[/tex]
[tex]\large\text{Like terms: \boxed{\textsf{\bf 1 \& 2}}}[/tex]
[tex]\large\checkmark\boxed{\large\text{GCF: \bf 2 }}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge the GCF \underline{G}reatest \underline{C}ommon \underline{F}actor is \bf 2}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A particular network service provider charges 50 Kobo per second to make a call. How many minutes will a caller with 300 naira airtime last.
9514 1404 393
Answer:
10 minutes
Step-by-step explanation:
The current legal tender conversion rate is 50 kobo = 0.50 naira. Then the airtime balance is ...
(300 NGN)/(0.50 NGN/s) × (1 min)/(60 s) = 300/(0.50×60) min = 10 min
a church distributed 1950 boxes of food during a disaster. The food was distributed lasted 30 days. How many boxes of food were distributed on average each day?
Answer:
Average of 65 boxes each day
Step-by-step explanation:
1950÷30=65
Find a, b, c, and d such that the cubic function f(x) = ax3 + bx? + cx + d satisfies the given conditions.
Relative maximum: (2,9)
Relative minimum: (4,3)
Inflection point: (3,6)
a =
b =
C=
d =
Answer:
[tex]\displaystyle f(x)=\frac{3}{2}x^3-\frac{27}{2}x^2+36x-21[/tex]
Where:
[tex]\displaystyle a=\frac{3}{2}, \, b=-\frac{27}{2}, \, c=36, \text{and } d=-21[/tex]
Step-by-step explanation:
We are given a cubic function:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
And we want to find a, b, c and d such that the function has a relative maximum at (2, 9); a relative mininum at (4, 3); and an inflection point at (3, 6).
Since the function has a relative maximum at (2, 9), this means that:
[tex]f(2)=9=a(2)^3+b(2)^2+c(2)+d[/tex]
Simplify:
[tex]8a+4b+2c+d=9[/tex]
Likewise, since it has a relative minimum at (4, 3):
[tex]f(4)=3=a(4)^3+b(4)^2+c(4)+d[/tex]
Simplify:
[tex]64a+16b+4c+d=3[/tex]
We can subtract the first equation from the second. So:
[tex](64a+16b+4c+d)-(8a+4b+2c+d)=(3)-(9)[/tex]
Simplify:
[tex]56a+12b+2c=-6[/tex]
Divide both sides by two. Hence:
[tex]28a+6b+c=-3[/tex]
Relative minima occurs only at the critical points of a function. That is, it occurs whenever the first derivative equals zero.
Find the first derivative. We can treat a, b, c and d as constant. Hence:
[tex]f'(x)=3ax^2+2bx+c[/tex]
Since it has a minima at (2, 9), it means that:
[tex]f'(2)=3a(2)^2+2b(2)+c=0[/tex]
Thus:
[tex]12a+4b+c=0[/tex]
(We will only need one of the two points to complete the problem.)
Inflection points occurs whenever the second derivative of a function equals zero. Find the second derivative:
[tex]f''(x)=6ax+2b[/tex]
Since there is a inflection point at (3, 6):
[tex]18a+2b=0\Rightarrow 9a+b=0[/tex]
Solve for b:
[tex]b=-9a[/tex]
Substitute this into the above equation:
[tex]12a+4(-9a)+c=0[/tex]
Solve for c:
[tex]c=24a[/tex]
Substitute b and c into the previously acquired equation:
[tex]28a+6(-9a)+(24a)=-3[/tex]
Solve for a:
[tex]\displaystyle -2a=-3\Rightarrow a=\frac{3}{2}[/tex]
Solve for b and c:
[tex]\displaystyle b=-9\left(\frac{3}{2}\right)=-\frac{27}{2}\text{ and } c=24\left(\frac{3}{2}\right)=36[/tex]
Using either the very first or second equation, solve for d:
[tex]\displaystyle 8\left(\frac{3}{2}\right)+4\left(-\frac{27}{2}\right)+2(36)+d=9[/tex]
Hence:
[tex]d=-21[/tex]
Hence, our function is:
[tex]\displaystyle f(x)=\frac{3}{2}x^3-\frac{27}{2}x^2+36x-21[/tex]
Cenntura was having fun playing poker she needed the next two cards out to be heart so she could make a flesh five cards of the same suit there are 10 cards left on the deck and three our hearts what is the probability that two cards doubt to Seterra without replacement will both be hearts answer choices are in percentage for format rounded to the nearest whole number
Answer:
7% probability that the next 2 cards are hearts.
Step-by-step explanation:
Cards are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
10 cards, which means that [tex]N = 10[/tex]
3 are hearts, which means that [tex]k = 3[/tex]
Probability that the next 2 cards are hearts:
This is P(X = 2) when n = 2. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,10,2,3) = \frac{C_{3,2}*C_{7,0}}{C_{10,2}} = 0.0667[/tex]
0.0667*100% = 6.67%
Rounded to the nearest whole number, 7% probability that the next 2 cards are hearts.
Analyze the figure below and complete the instructions that follow.
Answer:
C. 468 mm²
Step-by-step explanation:
Surface area of the composite solid = 2(LW + LH + WH)
Length (L) = 12 mm
Width (W) = 6 mm
Height (H) = 2 + 7 = 9 mm
Plug in the values into the formula
Surface area = 2(12*6 + 12*9 + 6*9)
Surface area = 2(72 + 108 + 54)
Surface area = 2(234)
= 468 mm²
calculate the value of X in the diagram
Answer:
[tex]EA = \frac{21 \times 15}{7} = 45 \\ { \tt{ \frac{21}{7} = \frac{x}{45} }} \\ x = 135[/tex]
PLEASE HELP ME PLEASE
Answer:
Ok so these triangle are the same with equivalent angles
so we can add up the angles 80+26=106
now we subtract from 180
180-106=74
so the measure of angle b is 74
Hope This Helps!!!
Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test
The null hypothesis is [tex]\mu = 39.09[/tex]
The symbol [tex]\mu[/tex] is the Greek letter mu
The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]
So either mu is 39.09 or it's not 39.09
You can use H0 and H1 to represent the null and alternate hypotheses respectively.
----------------------
Summary:
The two hypotheses are
H0: [tex]\mu = 39.09[/tex]
H1: [tex]\mu \ne 39.09[/tex]
This is a two tailed test.
Name the following polynomial based on its degree and number of terms x to the power of 2 plus 6x - 4
Answer:
x²+6x-4 is answer maybe
solve for x. 4^(×-1)=1
Answer:
[tex]4^{\left(x-1\right)}=1[/tex]
[tex]\Rightarrow\left(x-1\right)\ln \left(4\right)=\ln \left(1\right)[/tex]
[tex]\hookrightarrow x=1[/tex]
❅❅❅❅❅❅❅❅❅❅
OAmalOHopeO
❅❅❅❅❅❅❅❅❅❅
HELP ME FAST WILL GIVE BRAINLY
A bag contains 16 white marbles, 10 blue marbles and 12 red marbles. Give each ratio as a reduced fraction.
A) The ratio of white marbles to blue marbles.
B) The ratio of red marbles to total marbles.
the total of marbles = 16 + 10 +12 =38
A) white : blue = 16/10 = 8/5
B) red : total = 12/38 = 6/19
Step-by-step explanation:
1. find the total of marbles
Help please!
• 7/25
•7/24
•24/25
•24/7
Answer:
24/25
Step-by-step explanation:
The sin value is the y coordinate of the exact value point.
24/25 is the y coordinate so 24/25 is the answer.
Answer:
24/25 is the correct answer
Question 1 of 10
One advantage of a long-term loan compared to a short-term loan is that a
long-term loan:
A. does not require the borrower to have a good credit score.
O
B. can be paid off in full without the borrower paying any interest.
C. does not force the borrower to make payments every month.
D. allows a person to borrow more money at a lower interest rate.
Answer:
D. allows a person to borrow more money at a lower interest rate
evaluate the expression when x= -3 and y=3
y-8x
Answer:
27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = -3
y = 3
y - 8x
Step 2: Evaluate
Substitute in variables: 3 - 8(-3)Multiply: 3 + 24Add: 27[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{y - 8x}\\\\\large\textsf{= 3 - 8(-3)}\\\\\large\textsf{8(-3) = \bf -24}\\\\\large\textsf{= 3 - \bf 24}\\\\\large\textsf{= \bf 27}\\\\\boxed{\boxed{\large\textsf{\huge\textsf{Answer: \bf 27}}}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Select the correct answer. Simplify. (3x^2y^3/z^3)^3 A. B. C. D.
Answer:
options aren't given but the correct answer will be [tex]\frac{27x^6y^9}{z^9}[/tex]
Step-by-step explanation:
The simplified form of (3x²y³/z³)³ is 27x⁶y⁹/z⁹.
To simplify the expression (3x²y³/z³)³, we apply the rules of exponents. When we raise a power to another power, we multiply the exponents.
First, let's apply the exponent of 3 to each term inside the parentheses:
(3x²y³/z³)³ = 3³ × (x²)³ × (y³)³ / (z³)³
Simplifying further:
= 27 × x⁶ × y⁹ / z⁹
Therefore, the simplified form of (3x²y³/z³)³ is 27x⁶y⁹/z⁹.
This means that each term inside the parentheses is raised to the power of 3, resulting in the expression 27x⁶y⁹/z⁹.
The final expression represents the cube of the original expression, where each term is cubed individually. The exponents are multiplied by 3 to reflect this operation.
In summary, the simplified form is 27x⁶y⁹/z⁹.
To learn more about the exponents;
brainly.com/question/30066987
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(-3).(+9)-(-24)-(+6).(+2)
How to answer this question
Answer:
(0.3049 ; 0.3751)
Step-by-step explanation:
The confidence interval for proportion can be obtained using the relation :
Phat ± Zcritical * [√phat(1-phat) / n]
phat = x / n
Sample size, n = 700
x = 238
phat = 238/700 = 0.34
Zcritical at 95% = 1.96
C.I = 0.34 ± 1.96 * [√0.34(1-0.34) / 700]
C.I = 0.34 ± 1.96 * 0.0179045
C. I = 0.34 ± 0.0350928
Lower boundary = 0.34 - 0.0350928 = 0.3049
Upper boundary = 0.34 + 0.0350928 = 0.37509
(0.3049 ; 0.3751)
PLEASE HELLPP!!! Choose the best graph that represents the linear equation:
-x = 2y + 1
Graph A
On a coordinate plane, a line goes through (negative 1, 0) and (1, negative 1).
Graph B
On a coordinate plane, a line goes through (negative 3, negative 1) and (1, 1).
Graph C
On a coordinate plane, a line goes through (1, 0) and (5, negative 2).
Graph D
On a coordinate plane, a line goes through (negative 3, negative 2) and (1, 0).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation: just C-
Answer: Its not c
Step-by-step explanation: It is A
determine the general solution of cos2X -7cosX -3=0
Answer:
x=2pi/3 +2pi n, 4pi/3 +2pi n for all integar of n.
Step-by-step explanation:
Here is the setup for a non-traditional casino game: You draw a card from a well shuffled full deck and if the card is a king you win $100. The game costs $2 to play and you decide to play the game until you win the $100. Each time you draw a card you pay $2, and if the card is not a king, the card is put back in the deck, and the deck is reshuffled. How much money should you expect to spend on this game?
Answer:
$26
4/52 = 1/13.. the king will appear one in 13 tries... 13 tries is $26
Step-by-step explanation:
You should expect to spend $26 to win $100 playing this game.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To calculate the expected cost of playing this game until you win $100, we need to determine the probability of drawing a king on any given turn, as well as the number of times you are expected to play the game before you win.
So,
The probability of drawing a king on any given turn is 4/52, or 1/13 since there are 4 kings in a standard deck of 52 cards.
To determine the number of times you are expected to play the game before you win, we can use the geometric distribution, which models the number of trials it takes to achieve success in a sequence of independent trials, where the probability of success remains constant across trials.
The probability of winning on any given trial is 1/13, and the probability of losing is 12/13.
The expected number of trials until the first success (drawing a king) is:
= 1 / (1/13) = 13
This means that on average, you can expect to play the game 13 times before drawing a king and winning the $100 prize.
Now,
Since each game costs $2 to play, the total cost of playing the game 13 times is:
13 x $2 = $26
Therefore,
You should expect to spend $26 to win $100 playing this game.
Learn more about probability here:
https://brainly.com/question/14099682
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Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
Answer:
n = 4 is 10
hope it helps and have a good day
evaluate the expression when x=7 and y= -2 -x+8y
Answer:
y=-2
Step-by-step explanation:
y=-2*-7*+8y
y= 14+8y
-7y=14
y=-2
Which equation could represent each grapes polynomial function?
9514 1404 393
Answer:
top graph: y = x(x +3)(x -2)bottom graph: y = x⁴ -5x² +4Step-by-step explanation:
Each x-intercept at x=a corresponds to a polynomial factor of (x -a).
__
The top graph has x-intercepts of -3, 0, +2, so the factors of this cubic are ...
y = (x +3)(x -0)(x -2)
y = x(x +3)(x -2) . . . . . . . matches upper right tile
__
The bottom graph has x-intercepts of -2, -1, 1, 2, so the factors of this quartic are ...
y = (x +2)(x +1)(x -1)(x -2) = (x² -4)(x² -1)
y = x⁴ -5x² +4 . . . . . . . matches lower left tile
Find the intercepts for the graph of the equation.
-3x + y = 6
Answer:
y = 9
Step-by-step explanation:
The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $2000. What is the probability of randomly selecting one employee who earned less than or equal to $45,000
Answer:
The probability of randomly selecting one employee who earned less than or equal to $45,000=0.00621
Step-by-step explanation:
We are given that
Mean,[tex]\mu=50000[/tex]
Standard deviation,[tex]\sigma=2000[/tex]
We have to find the probability of randomly selecting one employee who earned less than or equal to $45,000.
[tex]P(x\leq 45000)=P(\frac{x-\mu}{\sigma}\leq \frac{45000-50000}{2000})[/tex]
[tex]P(x\leq 45000)=P(Z\leq-\frac{5000}{2000})[/tex]
[tex]P(x\leq 45000)=P(Z\leq -2.5)[/tex]
[tex]P(x\leq 45000)=0.00621[/tex]
Hence, the probability of randomly selecting one employee who earned less than or equal to $45,000=0.00621
chang knows one side of a triangle is 13 cm which set of two sides is possible for the length of the other two sides
5 cm and 8 cm
6cm and 7 cm
7cm and 2 cm
8cm and 9 cm
Answer:
i dont knowwww dhehje ejhdjeke jsienje
Answer:
8cm and 9 cm
Step-by-step explanation:
Sum of sides rule:
The sum of the two smallest sides of a triangle has to be greater than the third side.
5 cm and 8 cm
One side is 5, other 8, 5 + 8 = 13. The sum has to be greater than 13, so this is not possible.
6cm and 7 cm
6 + 7 = 13, same as above, not possible.
7cm and 2 cm
7 + 2 = 9 < 13, so not possible.
8cm and 9 cm
8 + 9 = 17 > 13, so possible, and this is the answer.
the slope of line is
Answer:
there is no file attached
Step-by-step explanation:
Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the conditions under which Tim Hortons is the better employer
Answer:
Assuming you want better payment each week, any number of hours above 33.333 or 33 hours and 20 minutes per week
Step-by-step explanation:
There are several ways we could do this. We could say we want to have Tim Hortons be the better employer on the first week, or after so many weeks by adjusting the hours. I am going to assume we are saying we want it to be a better employer on the first week, so the profit will be the amount made every week plus the money made per hour times the number of hours.
Let's say number of hours is H
So Tim Hortons winds up as 200 + 5H for one week and Mcdonalds will be 300 + 2H.
If you set the two expressions equal to each other you will find where they intersect, which means at that number of hours they will give the same amount of money while any amount before one of the companies will give more and after that many hours the other will. Let's go ahead and solve.
200 + 5H = 300 + 2H
3H = 100
H = 100/3
So H is about 33.333. let's check.
200 + 5(33.333) = 366.665 which rounds to 366.67 dollars
300 + 2(33.333) = 366.666 which also rounds to 366.67 dollars
So at 33.333 hours both give 366.67 dollars. Let's look at a value below it, say 32.
200 + 5(32) = 360
300 + 2(32) = 364
So you can see here Tim Hortons pays less. Now we will try 34 as a value above 33.333
200 + 5(32) = 370
300 + 2(32) = 368
Here Mcdonalds pays less. This was to show that values below 33.333 make Tim Hortonspay less and values above 33.333 make Mcdonalds pay less. In other words any value above 33.333 hours will have Tim Hortons be the better employer. And this is per week
I want to repeat, you can expand this to be multiple weeks and see which of the two becomes better in that epriod of time. This was, I think, the simplest way to answer though.
So the conditions where Tim Horton pays more isif you work more than 33.333 hours per week. This will make them pay more every single week.