Answer:
18
Step-by-step explanation:
Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?
Answer:
A) 120
Step-by-step explanation:
A factorial is represented with an !
Ex: 7! = 7*6*5*4*3*2*1
In this case, we would use 5! which equals 120.
120 should be your answer.
Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the second day she sells 8 adult tickets and 4 children tickets for the total 130. Determine the cost of adult and child tickets. Used a to represent adult and c to represent child tickets. Write an equation to represent the sales of day 1 and day 2. Used the elimination method.
Answer: Children tickets cost 7.50
Adult tickets cost 12.50
Step-by-step explanation:
Let a represent adult tickets
Let c represent child tickets
On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:
6a + 5c = 112.50 ...... equation i
On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:
8a + 4c = 130 ....... equation ii
6a + 5c = 112.50 ...... equation i
8a + 4c = 130 ....... equation ii
Multiply equation i by 4
Multiply equation ii by 5
24a + 20c = 450 ........ equation iii
40a + 20c = 650 ......... equation iv
Subtract iii from iv
16a = 200
a = 200/16
a = 12.50
Adult tickets cost 12.50
From equation ii,
8a + 4c = 130
8(12.50) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 30/4
c = 7.50
Children tickets cost 7.50
Using the concept of elimination, the cost of adult and children tickets are $12.5 and $7.5 respectively
Let :
Number of adult tickets = a Number of children's tickets = cCreating a system of equation thus :
6a + 5c = 112.50 - - - (1)
8a + 4c = 130 - - - - (2)
Multiply (1) by 4 and (2) by 5
24a + 20c = 450 - - - - (3)
40a + 20c = 650 - - - - (4)
Subtract
-16a = - 200
Divide both sides by - 16
a = 12.5
From (2) :
8(12.5) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 7.5
Hence, the cost of adult and children tickets are $12.5 and $7.5
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A paddle boat company charges $15 rental fee plus $12.75 per hour for rentals. If Jimmy has $45, which inequality can he use to determine if he has enough money to rent a paddle boat for 4 hours?
a. 15 + 12.75x ≤ 45
b. 15 + 12.75x ≥ 45
c. 15x + 12.75 ≤ 45
d. 15x + 12.75 ≥ 45
Answer:
A.
Step-by-step explanation:
$15 rental fee added to the 12.75 per hour. you have to multiply the 12.75 times the amount of hours rented, which we don't know yet so that's variable x. then he has only $45 to spend so it has to be equal to or less than that.
The entrance to a museum in Paris is shaped like a square pyramid. The base of the pyramid has a side length of 35 meters, and the height of the pyramid is 22 meters
Answer:
the total Hight would be 42 meters
Step-by-step explanation:
Select the correct answer.
You're given three angle measurements of 30°, 70%, and 80°. How many triangles can you construct using these measurements?
A.0
B 1
C. 2
D infinitely many
Answer:
The answer Is D Infinitely many.
Although these triangles will have the same shape and will have proportional sides due to the angle measures, at least one side length must be given to determine the other lengths, and so the size is not specified. Therefore the combination of lengths are infinite. This is because all numbers go on forever, just as you can keep counting without stopping.
[(15 x 3) + 3] = (12-6) = N
Answer:
45+3 = 6=N
48_6= N
42= N
:. N= 42
Step-by-step explanation:
:. N= 42
Answer:
did you mean to put 2 equal signs in this?
Step-by-step explanation:
that would make this false because the first part equals 48 and the second equals 6 and since 48 doesn't equal 6 this is a false statement
Helpppppppppppppp I’ll mark u
to convert measurements in the metric system you can move the decimal point left or right why does this work?
Answer:
C
Step-by-step explanation:
i took the assignment
Three times the sum of three consecutive integers is 72. What are the integers? a. 4, 5, 6 c. 9, 10, 11 b. 7, 8, 9 d. 6, 7, 8
Answer:
B
Step-by-step explanation:
7+ 8+ 9= 24
24 x 3= 72
Answer:
The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9
Step-by-step explanation:
Let x, y, and z be the three consecutive integers
The sum of x, y, and z will be: x+y+z
The three times the sum of three consecutive integers is 72.
so the equation becomes:
3(x+y+z)=72
Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check
3(x+y+z)
⇒ 3(7+8+9)
⇒ 3(24)
⇒ 72
Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9
Find the value of x that will make a and b parallel 5x+9 and 3x+11
Answer:
Step-by-step explanation:
5x + 9 = 3x + 11 ( Alternate angles )
5x - 3x = 11 - 9
2x = 2
x = 2/2
x = 1
Hope this helps
plz mark as brainliest!!!!!
1
The middle school girl's basketball team has
9 seventh-grade students and 5 sixth-grade
students. What is the ratio of sixth-grade
students to seventh-grade students on the
team?
Answer:
ratioed by ur name
Step-by-step explanation:
6. a) Round 50.24 to the nearest whole number. Draw a number line to show your thinking.
Answer:
50
I've attached the drawing of my number line to show my thinking. Download to turn it in if you need to.
Have a beautiful day, and stay safe.
Suppose that the log-ons to a computer network follow a Poisson process with an average of three counts per minute.
Required:
a. What is the mean time between counts?
b. What is the standard deviation between counts (in minutes)?
c. If it is an average of 3 counts per minute, find the value of x such that P(X < x) = 0.95
Answer:
a. E(X) = 0.333 minutes
b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c. 0.9986
Step-by-step explanation:
a.
To find the mean time between counts
Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.
i.e.
[tex]E(X) = \dfrac{1}{\lambda}[/tex]
[tex]E(X) = \dfrac{1}{3}[/tex]
E(X) = 0.333 minutes
b. Since X is attributed to an exponential distribution, The standard deviation between counts is:
[tex]\sigma_x = \dfrac{1}{3}[/tex]
[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c.
Given that;
The average number of count per minute = 3
The value of X such that P(X < x) = 0.95 can be calculated as;
[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]
[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]
[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]
[tex]e^{3t} = 1-0.95[/tex]
-3x = ㏑ (0.05)
-3x = - 2.9957
x = -2.9957/ -3
x = 0.9986
The value of x = 0.9986
Answer:
a) 3
b)3
c) 8.9872
Step-by-step explanation:
a) According to the question, mean is 3.
b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.
c) P[x<X]=0.95
f(x)= λ*e^(-λ*x)
∫f(x)dx, 0 to x
mean = 1/λ =3. So, λ= 1/3.
∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x
-e^(-x/3)+1 = 0.95
-e^(-x/3)=-0.05
x/3=ln(0.05)
x=ln(0.05)*3= 8.9872
Need help please please it due today at 4:50pm really need help please
Answer:
70
Step-by-step explanation:
Please help it’s urgent!!!!
What statistical tesst might you use in order to estabilish whether a distribution is normal and significant?a. Spearman’s testb. Kolmogorov–Smirnov testc. t-testd. None of the above
Answer:
b. Kolmogorov–Smirnov test
Step-by-step explanation:
The Kolmogorov–Smirnov test is also known as KS test. It is statistical non-parametric test used to test and compare cumulative distributions between two sets of data.
It is used to test whether the distribution scores are deviated from the comparable normal distribution or if the data are normally distributed.
5 men build a wall in 10 days how long will it take one man
Answer:
50 days?
Step-by-step explanation:
Answer:
i think it is 2 because
10 divide by 5 = 2
1 x 2 = 2
2 days
Determine if each pair of ratios or rates are equivalent.
16 points scored in 4 games.
48 points scored in 8 games.
Answer:
it is not the same
Step-by-step explanation:
16x4=64 & 48x8=394
The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?
Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
[tex]\mu[/tex] = 79
Standard deviation,
[tex]\sigma[/tex] = 3.5
Now,
⇒ [tex]\sigma\bar x = \frac{\sigma}{\sqrt n}[/tex]
[tex]= \frac{3.5}{\sqrt 16}[/tex]
[tex]=0.875[/tex]
⇒ [tex]P(\bar x > 81) = 1 - P(\bar x < 81)[/tex]
So,
= [tex]1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ][/tex]
= [tex]1 - P(z < 2.2857)[/tex]
= [tex]0.0111[/tex]
which pair of lines are perpendicular lines?
Answer:
D.) y = -1/4x - 6 and y = 4x + 11
Step-by-step explanation:
If two lines are perpendicular, that means that their slopes are opposite reciprocals, or that the product is equal to -1. -1/4 times 4 is -1, so they are perpendicular.
The amount of mustard dispensed from a standard dispenser is normally distributed with a mean of 0.9oz and a variance of 0.01oz. If a family of six buys ten hotdogs total and dispenses mustard onto each one using the standard dispenser, what is the probability that more than 3 of them will have more than one ounce of mustard?
Answer:
the probability that more than 3 of them will have more than one ounce of mustard is 0.05975
Step-by-step explanation:
Given te data in the question;
let x rep the quantity of mustard on a hotdog ( in oz)
so
X → N ( u = 0.9, α² = 0.01 )
now P( more than one ounces of mustard on a hotdog) will be
P( X>1 ) = P( Z > ((1-0.9)/(√0.01)) ) = P( Z > 1 ) = 1 - P( Z < 1 )
= 1 - 0.84134 = 0.15866
Also let Y rep the number of hotdogs that have more than one ounces of mustard, so
Y → Bin( n = 10, p = 0.15866 )
P( y = y ) = (¹⁰ _y) ( 0.15855)⁰ ( 1 - 0.15866 )^10-y, y = 0,1,2,3......, 10
so required probability = P(Y > 3) = 1 - P(Y ≤ 3)
= 1 - P(Y=0) - P(Y=1) - P(Y=2) - P(Y=3)
=1 - (¹⁰ ₀) ( 0.15855)⁰ (1 - 0.15855)¹⁰⁻⁰ - (¹⁰ ₁) ( 0.15855)¹ (1 - 0.15855)¹⁰⁻¹ - (¹⁰ ₂) ( 0.15855)² (1 - 0.15855)¹⁰⁻² - (¹⁰ ₃) ( 0.15855)³ (1 - 0.15855)¹⁰⁻³
= 0.05975
Therefore the probability that more than 3 of them will have more than one ounce of mustard is 0.05975
Multiply and simplify the product. (3 – 5i)(–2 + 4i) Select the product.
Answer:
-20i^2 + 22i - 6
Step-by-step explanation:
(3 - 5i)(-2 + 4i) = -6 + 10i + 12i - 20i^2 = -20i^2 + 22i - 6
if you want to go further,
-20i^2 + 22i - 6 = -2(10i^2 - 11i + 3)
Answer:
14+22i
Step-by-step explanation:
Edge Verified
help, i will do brainliest!!!
a)
Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b)
Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a)
Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b)
33.4/4 = 8.35
1) Cost of 7.5 gallons of water = 62.63 lb
2) The constant of variation = 8.35 lb
We have to given that,
1) Cost of 4 gallons = 33.4 lb
2) And, Cost of 4 gallon of water = 33.4 lb
Hence, We can simplify it as,
1) Since, Cost of 4 gallons = 33.4 lb
Hence, Cost of 7.5 gallons = 7.5 × 33.4 / 4 lb
= 62.63 lb
2) Since, Cost of 4 gallon of water = 33.4 lb
Hence, the constant of variation = 33.4 / 4
= 8.35
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A 30 foot cable is being cut into pieces that are 7 1/2 feet long
Answer:
Cool
Step-by-step explanation:
Do you mean a 30 foot cable is being cut into pieces that are 7 1/2 feet long, how many pieces is it cut into?
Answer:
goodluck
Step-by-step explanation:
(3x-15)(2x+7) what is x
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
2 = |3x|
−4/5x + 1/25 = 0
3x = 4 − x
Answer
Step-by-step explanation:
This has to be equal to something in order to solve it. I'm going to guess that it is equal to 0
(3x-15)(2x+7) = 0
That means that
3x - 15 = 0
3x = 15
x = 15/3
x = 5
or
2x + 7 = 0
2x = - 7
x = -7/2
x = - 3.5
The only other thing I can think of that this could equal is multiplying the two binomials together.
3x * 2x = 6x^2
3x*7 = 21x
-15*2x = - 30x
-15 * 7 = - 105
6x^2 - 7x - 105
But that does not solve for x.
Help me pleaseeeeee pretty please please please
what is le 2+2?
im -2 years old
Answer: The answer is 4
Step-by-step explanation: and FYI nobody is -2 years old
8.7 x 10 to the 2nd power
Answer:
870
Step-by-step explanation:
10^2=100. 8.7*100 is 870.
Answer:
7,569
Step-by-step explanation:
8.7 × 10= 87
87 squared (to the 2nd power) is 87×87=7,569
What is 40/4.
From this_guy
Answer:
10
Step-by-step explanation:
40/4= 10
Find the area A of the polygon with the given vertices. A(−6, 1), B(4, 1), C(4,−8), D(−6,−8)
A= __ square units
u must use the formula
so, the answer is 10 units²