Answer:
30,240 ways
Step-by-step explanation:
This question is bothered on permutation. Permutation has to do with arrangement.
If there are 10 computers and 5 students, the number of ways students will sit at the computers if no computer has more than one student can be expressed as;
10P5 = 10!/(10-5)!
10P5 = 10!/(5)!
10P5 = 10*9*8*7*6*5!/5!
10P5 = 10*9*8*7*6
10P5 = 30,240
Hence the number of ways is 30,240 ways
hellllp meeeeeeee plzzzz
Answer: 75 68 28 77
Step-by-step explanation:
make circle
make 4 parts in the circle
make one 75 degrees
another one 68
another one 28
and last one 77
using half angle identities what is the exact value of sin(9pi/8)
Step-by-step explanation:
first you put it in degree mode by multiplying 9pi/8 by pi/180.
The average body burns 120 calories (y) every 8 minutes (x) of jumping rope. Which equation best represents the number of calories burned, y, when x number of minutes have passed?
Answer:
y=15x
Step-by-step explanation:
what did they do wrong
help? ik im dumb but i need good grades and i can risk getting anything wrong
What do you call that property in division when you divide
12÷ 2 = 6
Answer: There is no property for that equation but it is called Standard Divison.
Step-by-step explanation:
To find 12/2=6 is by splitting 12 into to groups and you got your answer.
The Bartlett family is taking a road trip to Yellowstone National Park! Yesterday, they drove a total of 550 miles in 11 hours. Today, they will drive another 200 miles and arrive at the park.
If the Bartletts drive at the same average rate, how long will they drive today?
Answer:
4 hours is the answer
Step-by-step explanation:
If the Bartletts drive at the same average rate, today they must have derived for 4 hours.
Given that,
They drove a total of 550 miles in 11 hours. Today, they will drive another 200 miles and arrive at the park. If the Bartletts drive at the same average rate, how long will they drive today is to be determined.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Here,
Speed = distance/time
Speed = 550 / 11 = 50 miles per hour
Again,
Speed = distance/time
50 = 200 / time
time = 4 hours,
Thus, If the Bartletts drive at the same average rate, today they must have derived for 4 hours.
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2(5r - 5) + 8(5r - 1)
A) 4 - 311 - 49^2
B) 34r – 6 + 28r^2
C) 26r - 6 + 287^2
D) 50r - 18
Answer:
The answer is 50r-18
Step-by-step explanation:
2(5r-5) +8(5r-1)=2 x 5r/2 x -5 + 8x 5r/8 x -1
=10r-10+40r-8
=10r+40r-10-8
=50r-18
PLEASEEEEE HELP!!!! 15 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!
Answer:
third option
triangle TSU=LMN
Answer:
[tex] \triangle TSU \: \cong\: \triangle LMN[/tex]
Step-by-step explanation:
[tex] In\: \triangle TSU \: \&\: \triangle LMN\\\\
TS \cong LM\\\\
SU\cong MN\\\\
UT\cong NL\\\\
\therefore \triangle TSU \: \cong\: \triangle LMN\\(By\: SSS \: Postulate) [/tex]
Priya, Han, Lin, and Diego are all on a camping trip with their families. The first morning, Priya and Han make oatmeal for the group. The instructions for a large batch say, “Bring 15 cups of water to a boil, and then add 6 cups of oats.”
Priya says, “The ratio of the cups of oats to the cups of water is
6:15
. That’s 0.4 cups of oats per cup of water.”
Han says, “The ratio of the cups of water to the cups of oats is
15:6
. That’s 2.5 cups of water per cup of oats.”
Who is correct? Explain your reasoning. If you get stuck, consider using the table.
Answer:
Han is because the cups of water is 15 ad oat is 6.
Step-by-step explanation:
Answer:
Han is correct
Step-by-step explanation:
(a movie rental website charges $5.00 per month for membership and $1.25 per movie)
25. Marissa has $18.50 this month to spend on movie rentals
A. how many movies can she view this month
b. Marisa thinks she can afford 11 movies in one month. What mistake could she be making
Pls help me have mean math teacher ;((
Answer:
a.)she can view 10 movies. b.) One mistake she could be making is that she isn't adding the website fee to her total.
Step-by-step explanation:
1 a) A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine the 95% confidence interval estimate of the population mean.b) Repeat part (a) with a sample size of 100.c) Repeat part (a) with a sample size of 400.d) Describe what happens to the confidence interval estimate when the sample size increases.2 a) The mean of a sample of 25 was calculated as ¯x=500. The sample was randomly drawn from a population with a standard deviation of 15. Estimate the population mean with 99% confidence.b) Repeat part (a) changing the population standard deviation to 30.c) Repeat part (a) changing to the population standard deviation to 60.d) Describe what happens to the confidence interval estimate when the standard deviation is increased.
Answer:
1a)Confidence Interval: (77.936,82.064)
b)Confidence Interval: (79.020, 80.980)
c)Confidence Interval: (79.510, 80.490)
d) As the sample size increases, the confidence interval for the lower class (bound) increases while that of the upper class(bound) decreases.
2a)Confidence Interval: (491.609
, 502.797)
b)Confidence Interval: (483.218, 516.782)
c)Confidence Interval: (466.436,533.564)
d)As the standard deviation increases, the confidence interval for the lower class (bound) decreases while that of the upper class(bound) increases.
Step-by-step explanation:
1 a) A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80.
The formula for confidence Interval is:
C.I = Mean ± z score × Standard deviation/√n
Note to apply the formula above n greater than or equal to 30
a) Determine the 95% confidence interval estimate of the population mean.
For a, the confidence interval formula above cannot be applied because n is less than 30, so we use the t score confidence interval value
C.I = Mean ± t score × Standard deviation/√n
Mean = 80
Standard deviation = 5
n = 25
Degree of freedom = 25 - 1 = 24
Hence, 95% confidence interval degree of freedom t score = 2.064
Hence, Confidence Interval =
80 ± 2.064 × 5/√25
80 ± 2.064 × 1
80 ± 2.064
Confidence Interval =
80 - 2.064
= 77.936
80 + 2.064
= 82.064
Confidence Interval: (77.936, 82.064)
b) Repeat part (a) with a sample size of 100.
C.I = Mean ± z score × Standard deviation/√n
Mean = 80
Standard deviation = 5
n = 100
z score for 95% confidence interval = 1.96
C.I = 80 ± 1.96 × 5/√100
C.I = 80 ± 1.96 × 5/10
C.I = 80 ± 1.96 × 0.5
C.I = 80 ± 0.980
Confidence Interval =
80 - 0.980
= 79.020
80 + 0.980
= 80.980
Confidence Interval: (79.020, 80.980)
c) Repeat part (a) with a sample size of 400.
C.I = Mean ± z score × Standard deviation/√n
Mean = 80
Standard deviation = 5
n = 400
z score for 95% confidence interval = 1.96
C.I = 80 ± 1.96 × 5/√400
C.I = 80 ± 1.96 × 5/20
C.I = 80 ± 1.96 × 0.25
C.I = 80 ± 0.490
Confidence Interval =
80 - 0.490
= 79.510
80 + 0.490
= 80.490
Confidence Interval: (79.510, 80.490)
d) As the sample size increases, the confidence interval for the lower class (bound) increases while that of the upper class(bound) decreases.
2a) The mean of a sample of 25 was calculated as ¯x=500. The sample was randomly drawn from a population with a standard deviation of 15.
For a,b and c the confidence interval formula above cannot be applied because n is less than 30, so we use the t score confidence interval value
C.I = Mean ± t score × Standard deviation/√n
a) Mean = 500
Standard deviation = 15
n = 25
Degree of freedom = 25 - 1 = 24
Hence, 99% confidence interval degree of freedom t score = 2.064
Hence, Confidence Interval =
500 ± 2.797 × 15/√25
500 ± 2.797 × 15/5
500 ± 2.797 × 3
Confidence Interval =
500 - 8.391
= 491.609
500 + 8.391
= 508.391
Confidence Interval: (491.609, 508.391)
b) Repeat part (a) changing the population standard deviation to 30
Hence, Confidence Interval =
500 ± 2.797 × 30/√25
500 ± 2.797 × 30/5
500 ± 2.797 × 6
500 ± 16.782
Confidence Interval =
500 - 16.782
= 483.218
500 + 16.782
= 516.782
Confidence Interval: (483.218, 516.782)
c) Repeat part(a) changing to the population standard deviation to 60.
Hence, Confidence Interval =
500 ± 2.797 × 60/√25
500 ± 2.797 × 60/5
500 ± 2.797 × 12
500 ± 33.564
Confidence Interval =
500 - 33.564
= 466.436
500 + 33.564
= 533.564
Confidence Interval: (466.436,533.564)
d)As the standard deviation increases, the confidence interval for the lower class (bound) decreases while that of the upper class(bound) increases.
Graph the following linear inequalities y<_1/2x-4
Answer:
Step-by-step explanation:
y ≤ [tex]\frac{1}{2}[/tex] x - 4
At a local high school, 30% of the students are on a school sports team, 25% take at least one Advanced Placement (AP) class, and
10% are on a sports team and take at least one AP class. If a student was randomly selected from this school, what is the
probability that the student is on a sports team or takes at least one AP class?
Plz hurryyyy
0.45 will be the probability that the student is on a sports team or takes at least one AP class
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, At a local high school, 30% of the students are on a school sports team, 25% take at least one Advanced Placement (AP) class,
So,
Probability of Getting a student from a sports TeamP(A) = 0.3
Probability of Getting a student from an AP class P(B)= 0.25
Since 10% are on a sports team and take at least one AP class.
P(A ∩ B ) = 0.10
Thus,
P(A∪B) = P(A) + P(B) - P(A ∩ B )
P(A∪B) = 0.30 + 0.25 - 0.10
P(A∪B) = 0.45
therefore, the probability that the student is on a sports team or takes at least one AP class will be 0.45.
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Name 2 alternate exterior angles
Answer:
When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Exterior Angles: a and h.
Step-by-step explanation:
Evaluate the expression when c=-6
Answer:
Hi how are you
Step-by-step explanation:
Have a nice day
solve the system
y=3x^2+3x-5
2x-y=3
Who to Convert 13/4 to a mixed numeral.
Answer:
3 1/4
Step-by-step explanation:
If correct please give me brainliest. :) :)
Solve this system of equations 2x+4y=-6 x=y-12
Answer:
Step-by-step explanation:
2(y-12) +4y = -6
2y -24 +4y = -6
6y -24 = -6
6y= -18
y = -3
x = -3 - 12
x = - 15
x = -15
y = -3
Answer:
x=-9, y=3
Step-by-step explanation:
2(-9)=-18 4(3)=12 -18+12=-6 so, -6=-6, it is determined true
-9=3-12 3-12=-9 so, -9=-9, it is determined true
Hope this helps! Have a nice day! Owa Owa!
The table below shows that the number of miles driven by Lily is directly proportional to the number of gallons she used. Gallons Used Miles Driven 37 754.8 47 958.8 50 1020 What is the constant of proportionality between the number of miles driven and the number of gallons used?
Answer:
20.4
Step-by-step explanation:
Constant of proportionality, k, is given as [tex] \frac{y}{x} [/tex].
Given that number of miles driven by Lily is directly proportional to the number of gallons she used, therefore the constant of proportionality between the number of miles driven and the number of gallons used can be determined by using any given pair from the table of values.
Using, (50, 1020),
constant of proportionality (k) = [tex] \frac{1020}{50} = 20.4 [/tex].
The constant of proportionality is 20.4 miles per gallon.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance driven in miles for x galloons.
From the table, using the points (37, 754.8) and (50, 1020):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-754.8=\frac{1020-754.8}{50-37}(x-37)\\\\y-754.8=20.4(x-37)\\\\y=20.4x[/tex]
Therefore the constant of proportionality is 20.4 miles per gallon.
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jay has an album that holds 900 photos. Each page of the album holds 9 photos. If 67 % of the album is empty, how many pages are filled with photos?
Una poblacion es atacada por una epidemia de gripe sea N(t)= numero de personas enfermas al tiempo t. En dias la epidemia inicio en N(0)= 50. Un matematico determina que la gripe se extiende a razón de f'(t)= 120t- 3t^2 personas por día. Determina
a) La función original que describe el comportamiento de la epidemia. (Aplica los mismos pasos explicados anteriormente.
b) ¿Cuántos enfermos habrán después de 15 días si no se controla la epidemia?
Answer:
Habrán 10175 enfermos a los 15 dias.
Step-by-step explanation:
La tasa de cambio de la población enferma por la epidemia de gripe es:
[tex]N'(t)=120t-3t^2[/tex]
Donde t es el tiempo en dias, y se sabe que la epidemia inició en N(0)=50.
a)
Para encontrar la función original que describe el comportamiento de la epidemia, debemos integrar la función:
[tex]N(t)=\int N'(t)dt[/tex]
[tex]N(t)=\int (120t-3t^2)dt[/tex]
Integrando:
[tex]\displaystyle N(t)=120\frac{t^2}{2}-3\frac{t^3}{3}+C[/tex]
Simplificando:
[tex]\displaystyle N(t)=60t^2-t^3+C[/tex]
Para determinar el valor de C, usamos la condición inicial N(0)=50:
[tex]\displaystyle 50=60(0)^2-(0)^3+C[/tex]
Se tiene que C=50, y la función queda determinada como:
[tex]\displaystyle N(t)=60t^2-t^3+50[/tex]
b) El número de enfermos a los t=15 dias se determina substituyendo el valor en la función original:
[tex]\displaystyle N(15)=60(15)^2-(15)^3+50[/tex]
Calculando:
[tex]N(15)=13500-3375+50=10175[/tex]
Habrán 10175 enfermos a los 15 dias.
PLEASE HELP!
I WILL MARK BRAINLIEST!!!
Answer:
x=159/8
Step-by-step explanation:
you are supposed to put all those numbers and x's together and combine like terms then subtract from 180 and then divide
Jeff ordered 5 pizzas for his daughters birthday
party. Each pizza has 8 slices. At the party, 50%
of the pizzas were eaten. When the party was
over, Jeff ate 20% of what was left. How many
did Jeff eat?
Answer:8 peices hopefully its right
Step-by-step explanation:
Evaluate the following trigonometric expression, using the principal value for the cosine
tan(Cos-1(-1/2))
Given:
The expression is
[tex]\tan (\cos ^{-1}(-\dfrac{1}{2}))[/tex]
To find:
The value of given expression.
Solution:
We have,
[tex]\tan (\cos ^{-1}(-\dfrac{1}{2}))[/tex]
[tex]=\tan (\pi-\cos^{-1}(\dfrac{1}{2}))[/tex] [tex][\because \cos^{-1}(-\theta)=\pi -\cos^{-1}\theta][/tex]
[tex]=\tan (\pi-\cos^{-1}(\cos \dfrac{\pi}{3}))[/tex] [tex][\because \cos \dfrac{\pi}{3}=\dfrac{1}{2}][/tex]
[tex]=\tan (\pi-\dfrac{\pi}{3})[/tex]
[tex]=-\tan (\dfrac{\pi}{3})[/tex] [tex][\because \tan(\pi-\theta)=-\tan \theta][/tex]
[tex]=-\sqrt{3}[/tex] [tex][\because \tan \dfrac{\pi}{3}=\sqrt{3}][/tex]
Therefore, the value of given expression is [tex]-\sqrt{3}[/tex].
5n(-7n)+6
How do you solve this
Answer:
-35n+6
Step-by-step explanation:
5n(-7n)+6
Okay so there is a term in front of another term in parentheses
This let's us know that we are going to distribute (multiply)
5n × -7n = -35n^2
The reason it's -35 it's because a positive times a negative is a negative
the reason it's n^2 it's because n × n = n^2
Now we can't forget the positive 6!
-35n + 6 is your answer
The reason we don't add the 6 to the -35n is because they are not like terms so therefore we cannot do anything further
The 6 does not have an n attached to it so we leave as it it
barb exercises for 22 hours each week. how many hours does she exercise in 14 weeks. use the array drawn on the grid go help multiply
Answer:
Step-by-step explanation:
22 times 14 is 308, so 308 hours in 14 weeks.
(Ill give brainliest if ya help meee!! ;-;)
Which equation has a value less than 2,175?
A) 1 x 2,175 = ________
B)2 x 2,175 = ________
C) two halves x 2,175 = ________
D)one half x 2,175 = ________
Answer:
D
Step-by-step explanation:
1/2*almost anything except 1 and 0 is pretty much just dividing by 2
It's D.
1/2 x 2175 = 2175/2
2175/2 = 1087.5
Is my answer correct or incorrect? True or false
Answer:
Youre correct
Step-by-step explanation:
Answer:
it is true
Step-by-step explanation:
1.44 /0.6 in long division
Answer:
The answer is 2.4
Step-by-step explanation:
because I division 1.44/0.6 its gave me 2.4
