Answer:
The number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
Step-by-step explanation:
[tex]x[/tex] = Number of sections in Ancient history
[tex]y[/tex] = Number of sections in Medieval history
[tex]z[/tex] = Number of sections in Modern history
The number of sections that are allowed is 45 so
[tex]x+y+z=45[/tex]
The number of students in each section is 4700 where 100 of them take ancient history 50 of them take medieval history and 200 take modern history so
[tex]100x+50y+200z=4700[/tex]
The number of professors is 58 where Ancient and Medieval History need only 1 professor per section and Modern History sections are taught by a team of 2 professors, so
[tex]x+y+2z=58[/tex]
Solving the first and last equations by subtracting them we get
[tex]-z=-13\\\Rightarrow z=13[/tex]
Substituting this value in the second equation and first equation we get
[tex]100x+50y+2600=4700\\\Rightarrow 100x+50y=2100\\\Rightarrow 2x+y=42[/tex]
[tex]x+y+13=45\\\Rightarrow x+y=32[/tex]
Solving these equations by subtracting them we get
[tex]x=10[/tex]
[tex]x+y=32\\\Rightarrow y=32-10=22[/tex]
So, [tex]x=10, y=22, z=13[/tex]
Hence, the number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
what's the answer? please help
Answer:
the slope is -7/3
Step-by-step explanation:
8-15/10-7
-7/3
round 75. 9913 to the nearest tenth, hundredth, thousandth
Divide.
4 1/5 divided by 2/3
Express your answer as a mixed number in simplest form.
Enter your answer in the box.
Answer:
63/10 or 6 3/10
Step-by-step explanation:
Cual es El opuesto de 0?
Answer: no hay opuesto de cero, cero es el último número de positivos y negativos
Find the value of x in the following ratio 3:15=x:30
b) x :9 =4=36
What is the product of (–0.9)(–2.4)?
–3.3
–2.16
2.16
3.3
Answer:
-2.16
Step-by-step explanation: for all you edge people
I have 3 times as many nickels as quarters. How many quarters do I have if I have
a total of $2.40
Answer:
18 Nickels, 6 Quarters
Step-by-step explanation:
For this problem, let's build a system of equations to find the number of nickels and dimes you have. Let N represent the number of nickels and Q represent the number of quarters you have.
The first equation, you have 3 times as many nickels as quarters:
N = 3Q
The second equation, you have a total of $2.40. Given we know nickels are $0.05 and quarters are $0.25:
0.05N + 0.25Q = 2.40
Now, let's use the two equations to find the number nickels and quarters you have.
N = 3Q
0.05N + 0.25Q = 2.40
0.05(3Q) + 0.25Q = 2.40
0.15Q + 0.25Q = 2.40
0.4Q = 2.40
Q = 6
Now, let's plug the value back into the equation:
N = 3Q
N = 3(6)
N = 18
And we can verify these values with the second equation:
0.05N + 0.25Q = 2.40
0.05(18) + 0.25(6) ?= 2.40
0.90 + 1.50 ?= 2.40
2.40 == 2.40
Therefore, we have found and verified the amount of Nickels and Quarters you have.
Cheers.
help please this is timed
Answer:
$1.25x+$7=$43.25
Step-by-step explanation:
Find the lcm of 2,3,7 and tell me how u got ur answer
if its CORRECT with ur reasoning ill give brainlest
Answer:
42
Step-by-step explanation:
acomoda 2 8 3 y 4 en este orden con las operaciones +-×÷ de forma que el resultado sea 76 y 40
Answer:
[(2*8) + 3] *4 = 76
[2*(8 - 3)]*4 = 40
Step-by-step explanation:
Los paréntesis ( ), corchetes [ ] y llaves {} son símbolos de agrupación que indican el orden de las cuatro operaciones aritméticas básicas (suma, resta, multiplicación y división). Las reglas del orden de operaciones establece que se debe realizar primero el cálculo dentro de los símbolos de agrupación.
En otras palabras, la jerarquía de operaciones es el orden en el que hay que realizar las distintas operaciones, ya que unas tienen prioridad frente a otras. Y establece primero debes empezar por resolver los paréntesis, luego los corchetes y finalmente las llaves. Es decir, cuando haya símbolos de agrupación dentro de símbolos de agrupación, calcula de adentro hacia afuera. Esto es, empieza simplificando los símbolos de agrupación en el centro.
Para obtener 76, se pueden realizar la siguiente operación combinada:
[(2*8) + 3] *4
Aplicando lo anteriormente mencionado de la jerarquía de operaciones, comienzas por resolver el paréntesis:
[16 + 3]*4
Ahora, resolviendo el corchete:
19*4
Finalmente, resolviendo la multiplicación:
19*4= 76
Entonces [(2*8) + 3] *4 =76
Para obtener 40, se pueden realizar la siguiente operación combinada:
[2*(8 - 3)]*4
Comenzando a resolver el paréntesis:
[2*5]*4
Ahora, resolviendo el corchete:
10*4
Finalmente, resolviendo la multiplicación:
10*4= 40
Entonces [2*(8 - 3)]*4 = 40
Subtract using the number line.
−35−(−25)
Select the location on the number line to plot the difference.
Answer:
I'm assuming that the answer is -10
Step-by-step explanation:
Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.
Answer:
-1/5 im right hope all of you have a wonderful day
Step-by-step explanation:
What percent of the employees earn more than $400 per week?
Answer: 26%
Step-by-step explanation:
Only 13 out of the 50 make more than 400$ a week. So it’s 13/50=26%
Answer:
26%
Step-by-step explanation:
find the total
19+18+8+5=50
find the ppl who earn >400
last 2 columns
8+5=13
find the percent
13/50=26/100
=26%
Which of the following are ordered pairs for the equation y = 1/3x - 1?
(0,3) (0,-1) (6,1)
(3,0) (0,-1) (6,1)
(0,-1) (1,-4) (2,-7)
(0,-1) (-3,0) (-4,3)
Answer:
answer is the 2nd one
Step-by-step explanation:
y = 1/3(3) - 1 = 1 - 1 = 0 (3,0)
y = 1/3(0) - 1 = 0 - 1 = -1 (0, -1)
y= 1/3(6) - 1 = 2 - 1 = 1 (6, 1)
Please someone help me with this
(You have to add both answers)
Solve for z.
I need help please
Answer:
Z is 52 degrees.
Step-by-step explanation:
52 plus 38 is 90
Answer:
52°
Step-by-step explanation:
You can say this a 'cardesian plane', where adjacent quadrants are at right angle to each other. So,
z + 38 = 90°
z = 90° - 38° = 52°
Please help me. I'm honestly really confused. I need the answers as soon as possible!
Answer:
which class can you say then I can tell answer
In total, Jessica and Jonathan have created 19.64 cups of lemonade. They sell the lemonade in servings of 1.25 cup.
How many FULL servings will they be able to sell?
Answer:
15 full servings before not having enough left over for another full serving.
Step-by-step explanation:
A long year-end status report for work is 162 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.84 each
Answer:
23.04
Step-by-step explanation:
What is the greatest common divisor of 6, 9, and 12? *
A car can travel 38 miles on each gallon of gasoline. At that rate, how many gallons of gasoline will it take to travel 190 miles?
Answer:
5
Step-by-step explanation:
Answer:
5 Gallons of gasoline
Step-by-step explanation:
This is true because 190÷38 is five. If you want to check the work 38×5 is 190.
I also got it right on edg. 2020
Ms. Garcia is an electrician and has a length of wire that is 32.7 meters long. She has another length of wire that is 15.33 meters long. How much longer is the one wire than the other? Solve this problem any way you choose.
Answer:
Ans =17.37
32.7 -15.33=17.37
Question in the picture
Answer:
Average rate of change =250
Step-by-step explanation:
Formula to determine average rate of change of the function,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Where [tex]x_1[/tex] and [tex]x_2[/tex] are the points representing number of years after year 2000.
Since [tex]x_1[/tex] = 5 and [tex]x_2=19[/tex],
[tex]f(x_2)=650[/tex]
And [tex]f(x_1)=300[/tex]
Now average rate of change = [tex]\frac{650-300}{19-5}[/tex]
= [tex]\frac{350}{14}[/tex]
= 250
Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.
how many days are in 2 years + 18 months?
please help!!!!
Answer:
1277
Step-by-step explanation:
Answer:
1278.04
Step-by-step explanation:
Why? In 1 year there are approximately 365.24 days, but in 1 month there are approx 30.42 days.
So 365.24 × 2 = 730.48
And 30.42 × 18 = 547.56 (+
-----------------------
1278.04
what is the slope of the table shown I NEED THIS QUICK
Answer:
5
Step-by-step explanation:
Slope is defined as rise over run, so it is (26-11)/(5-2) = 15/3 = 5
Answer:
slope is 5
Step-by-step explanation:
slope formula says m= y2-y1/x2-x1
m=26-11/5-2
m=15/3
m=5
Turn 4.131313 into a mixed fraction
Answer:
1313
4 -------
10000
Step-by-step explanation:
just imagine if they were a fraction
stwyrthegfcvidfghhuw cgy5wd
According to an airline, flights on a certain route are on time % of the time. Suppose flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly flights are on time. (c) Find and interpret the probability that fewer than flights are on time. (d) Find and interpret the probability that at least flights are on time. (e) Find and interpret the probability that between and flights, inclusive, are on time.
Answer:
(a) Explained below.
(b) 0.0294
(c) 0.0173
(d) 0.09827
(e) 0.0452
Step-by-step explanation:
The complete question is:
According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 16 flights are on time.
(c) Find and interpret the probability that fewer than 16 flights are on time.
(d) Find and interpret the probability that at least 16 flights are on time.
(e) Find and interpret the probability that between 14 and 16 flights, inclusive, are on time.
Solution:
(a)
Let the random variable X be defined as the number of on-time flights.
A Binomial experiment has the following properties:
There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
All of these properties can be confirmed for the random variable X.
Thus, this is a binomial experiment.
(b)
Compute the probability that exactly 16 flights are on time as follows:
[tex]P(X=16)={25\choose 16}(0.80)^{16}(0.20)^{25-16}[/tex]
[tex]=2042975\times 0.0281475\times 0.000000512\\=0.029442375072\\\approx 0.0294[/tex]
Thus, the probability that exactly 16 flights are on time is 0.0294.
(c)
Compute the probability that fewer than 16 flights are on time as follows:
[tex]P(X<16)=\sum\limits^{15}_{x=0}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]
[tex]=0.0000+0.0000+....+0.011777\\=0.0173[/tex]
Thus, the probability that fewer than 16 flights are on time is 0.0173.
(d)
Compute the probability that at least 16 flights are on time as follows:
[tex]P(X\geq 16)=1-P(X<16)[/tex]
[tex]=1-0.0173\\=0.9827[/tex]
(e)
Compute the probability that between 14 and 16 flights, inclusive, are on time as follows:
[tex]P(14\leq X\leq 16)=\sum\limits^{16}_{x=14}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]
[tex]=0.004+0.0118+0.0294\\=0.0452[/tex]
Thus, the probability that between 14 and 16 flights, inclusive, are on time is 0.0452.
Why is the answer A?
Answer:
B) 2 frozen dinners and 2 dozen jelly doughnuts
Step-by-step explanation:
Calculate the total utility for each option.
A) 46
B) 32 + 21 = 53
C) 16 + 30 = 46
D) 28
Option B has the highest total utility.
Which is larger: 25% of 38 OR 30% of 41
what is the square root of 49
Answer:
2
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Write the number in exponential form with the base of 7
[tex]\sqrt{7^{2} }[/tex]
Reduce the index of the radical and exponent with 2
7
Solution
7
The diameter of circle is 4cm. Determine the are of the circle.
Answer: Area of circle = 12.57cm² (I am assuming you mean area here)
Step-by-step explanation:
Area = πr²
radius = diameter ÷ 2
r = 4 ÷ 2
r = 2
π = 3.14159265359
shorten π to 3.14 for future reference. I just used the π button a a calculator for this answer though.
A = π × 2
A = 12.57
