The number of arrangements is an illustration of permutations.
The number of arrangement is 5040
The given parameter is:
[tex]n = 7[/tex] --- number of days
[tex]r = 7[/tex] --dinners for 7 days
So, the number of different arrangement is
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
Substitute known values
[tex]^7P_7 = \frac{7!}{(7 - 7)!}[/tex]
[tex]^7P_7 = \frac{7!}{0!}[/tex]
[tex]^7P_7 = \frac{5040}{1}[/tex]
[tex]^7P_7 = 5040[/tex]
Hence, the number of arrangement is 5040
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WILL GIVE BRAINLYIST
what is 2+2x4(6+5)-7
Answer:
83
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
Hail Hydra
The top of a coffee table is in the shape of a rectangle. The length of the top of the coffee table is 3.5 feet and the area is 10.5 square feet. What is the width of the coffee table?
Answer:3
Hope this helps
Find the interquartile range of the data. 4,6,4,2,9,1,12,7
Answer:
5
Step-by-step explanation:
1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.
2.) Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.
3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).
4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).
5.) Now, subtract both interquartiles. This should give you your answer (5).
PLEASE HELP I NEED THIS TO GET MY GRADE UP
Answer:
[tex]y = 4.5x[/tex]
Step-by-step explanation:
Given
The attached table
Required
The table equation
The table shows a linear relationship.
So, we calculate the slope (m) first
Using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) =(2,9)[/tex]
[tex](x_2,y_2) =(6,27)[/tex]
So, we have:
[tex]m = \frac{27 - 9}{6 - 2}[/tex]
[tex]m = \frac{18}{4}[/tex]
[tex]m = 4.5[/tex]
Next, the equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.5(x - 2) + 9[/tex]
Open bracket
[tex]y = 4.5x - 9 + 9[/tex]
[tex]y = 4.5x[/tex]
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
$230.04
Step-by-step explanation:
216 * 0.065= 230.04
Suppose the diameter of a circle is 16 units what is the circumference?
Answer:
Step-by-step explanation:
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
16 = diameter
Circumference = Diameter * pi
Sometimes the teacher may want you to round pi to 3.14...
In that case do 16 * 3.14 = 50.24
Maria noticed that a fork in the road created 3 angles. If two angles are as shown, what is the measure of angle x?
А
135°
00
140°
с
145°
D
150°
The measure of angle x will be 145° so option (C) will be correct.
What is an angle?
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance. For instance, a meter or an inch is a unit of measurement for linear motion.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
The angle all around the line is 360°.
The angle 165°, 50°, and x consist total of 360°.
165 + 50 + x = 360
x = 145°.
So the angle of x will be 145°.
For more about the angle
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fractions equivalent to 8/4?
Answer:
2/1 4/2 6/3 10/5 12/6 14/7 16/9 18/9
Step-by-step explanation:
Can Yall Help please lol. also this is for 20 points.
which set of numbers does not form a right triangle? a.)14,48,50 b.) 15,20,25 c.) 21,28,35 d,) 27,35,46
Answer:
maybe b?
Step-by-step explanation:
-5x+3y-3x+2y show work please
I need helpppppppp :(
Answer:
The blank for the computers will be 20 because they are multiply each number by 2. The top blanks will be 4 and 16
Step-by-step explanation:
A) 113
B) 92
C) 133
D) 117
Hey can someone please help me with this?
I can’t exactly figure it out.
Thank you in advance.
Answer:
three heads - 1/8
exactly two tails - 3/8
first two tosses are heads - 1/4
at least two tails - 1/2
Step-by-step explanation:
8 Possible outcomes
hhh, hht, hth, htt, ttt, tth, thh, tht,
three heads - 1/8
exactly two tails - 3/8
first two tosses are heads - 2/8=1/4
at least two tails - 4/8=1/2
Which graph COULD represent the table of values?
A)a
B)b
C)c
D)d
Answer:
Option 2 or B
Step-by-step explanation:
B, if you look at the data table, you can notice that x and y are decreasing (therefore going down). I hope this helps?
investing $27,000 in an account paying 7.25% interest compounded quarterly.
What will Jamie's account balance be in 14 years?
investing $27,000 in an account paying 7.25% interest compounded quarterly.
What will Jamie's account balance be in 14 years?
Answer:
$74,495.30
Jamie's account balance will be $73,828.74 after 14 years.
What is Compound Interest?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, Principal = $27,000
Rate of interest = 7.25% compounded quarterly
= 0.0725/4 = 0.018125 per annum
Time = 14 years or 56 quarters
Now, A = P(1+i)ⁿ
A = 27000(1+0.018125)⁵⁶
A = 27000 X 2.7343
A = 73828.74
Thus, Jamie's account balance will be $73,828.74 after 14 years.
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What is the position of the term 301 in the sequence defined by 3n + 1
Answer:
n=100
Step-by-step explanation:
3n+1=301
3n=300
n=100
Will choose brainlies plsss help
Answer:
Its c enjoy
Step-by-step explanation:
Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta
Answer:
5/13
Step-by-step explanation:
1. We are given tan(x)=5/12 .....(2)
2. On comparing the quantities we get that p=5 and b=12
3. We require the value of hypotenuse(h),
for this we apply the Pythagoreum theorum: p^2+b^2=h^2
⇒h^2=5^2+12^2
⇒h^2=25+144
⇒h^2=169
⇒ h=√169
⇒ h=13
Sin=p/h
p=5
h=13
Sin=5/13
Find the missing side of a right triangle a b c
Answer:
Use Pythagorean Theorem.
Step-by-step explanation:
To find any side of a right angled triangle, we use Pythagorean Theorem. It states that the square of hypotenuse is equal to the sum of squares of it's sides.
Let hypotenuse is a
Perpendicular is b
and base is c
According to the theorem:
a²= b² + c²
Add values and solve for the unknown variable / side.
If you had added the problem, I would have elaborated more but still this will help you out.
The National Center for Health Statistics reported that of every 1,008 deaths in recent years, 34 resulted from an automobile accident, 202 from cancer, and 358 from heart disease. What is the probability that a particular death is due to an automobile accident
Answer:
0.0337 = 3.37% probability that a particular death is due to an automobile accident
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability that a particular death is due to an automobile accident?
Total of 1008 deaths.
34 resulted from an automobile accident. So
[tex]p = \frac{34}{1008} = 0.0337[/tex]
0.0337 = 3.37% probability that a particular death is due to an automobile accident
Any help? I need to describe the change of the equation, in terms of it getting thinner (>) or wider (<). I don't exactly understand how to do this, can anyone explain?
9514 1404 393
Answer:
no change to the width of the curve
Step-by-step explanation:
Your terminology and use of symbols (>, <) are unusual, so we're not sure what your question is.
The equation represents a transformation of the parent function
y = x²
The transformation (replacing x with (x-4)) is a translation right 4 units. This can be seen in the attached graph. The "parent function" is shown in red. Your function is shown in blue.
Nothing about this transformation changes the width of the curve, so it is neither thinner nor wider than it was originally. The description usually used if the curve is narrower or wider is "horizontal compression" or "horizontal expansion."
The curve does get wider for larger y-values. It is said to "open upward".
__
Additional comment
The symbols < and > stand for "is less than" and "is greater than", respectively. They are occasionally used as "angle brackets" to identify vectors or tokens of one sort or another. Sometimes, they are used to signify an angle when the appropriate ∠ symbol is not available. This is the first time in many years of studying math that I have seen them in the context of "thinner" and "wider."
PLEASE PLEASE PLEASE! WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! Really wanna get this over with only 1 more question after this
Required volume=352π or 1105.84in³
Answer:
solution given.:
radius of outer rim[R]=5in
radius of inner rim[r]=3in
height[h]=22in
we have
volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)
=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³
Identify the most reasonable unit to measure the volume of a neighborhood
Answer:
I think you mean area, but acres
please help me out hereeeeeeeeeeee
Answer:
divide by 1k
Step-by-step explanation:
Answer:
Option B:Multiply by 1,000
Step-by-step explanation:
Since,
1 litre = 1000ml
Hence,
3.2 litre = 3.2 × 1000 ml = 3200 ml
So,
Option B that is to Multiply by 1000 is correct.
Find an ordered pair (x,y,) that is a solution to the equation.
3x - 7 = 4
Answer: x=11/3
Step-by-step explanation:
How to find surface area of a composite figure
Step-by-step explanation:
To calculate the surface area of a 3D composite object, find the outside surface area of each object and then add the surface areas together. It could also be broken into one on top and one on the bottom. Determine the surface area of the outside faces of the right prism.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
I think it is the first one NOQ AND MLJ
what is 8x9-6+7(5-4x8)
Answer:
8 x 9 − 28 x 8 + 29
Step-by-step explanation:
What is the volume of a cube with a side length of 2/5 cm?
What is the volume of a cube with a side length of 2/5 cm? 0.4 cm
Answer:
8/125 cm³
Step-by-step explanation:
(2/5)³=2³/5³
= 8/125 cm³ or 0.064
After sitting out of a refrigerator for a while, a turkey at room temperature (69°F) is
placed into an oven. The oven temperature is 300°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = Ta + (T. – T.)e-kt
Tg = the temperature surrounding the object
To = the initial temperature of the object
t= the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 127°F after 3 hours. Using this information,
find the value of k, to the nearest thousandth. Use the resulting equation to
determine the Fahrenheit temperature of the turkey, to the nearest degree, after 5
hours.
Enter only the final temperature into the input box.
Answer:157
Step-by-step explanation: