=======================================================
Explanation:
There are 18 ways to pick the first topping and 18-1 = 17 ways to pick the next topping. Picking the same topping again doesn't make much sense (though I suppose it could mean that you just want more of that topping than usual?), so that's why we have the 18 drop to 17 when making that second selection.
If the order of toppings mattered, then we'd have 18*17 = 306 permutations. However, the order of toppings doesn't matter. All that matters is the group rather than the individual toppings. When counting out the 306 permutations, we've overcounted by a factor of 2. In other words, we've double counted.
So we must divide by 2 to fix this double count. That leads to 306/2 = 153 combinations
------------------------
The alternative method involves using the nCr combination formula
Use n = 18 and r = 2 in this formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
the exclamation marks indicate factorial.
Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
Problem #4:
and one
sum of
A gumball machine contains 15 green gumballs, 6 yellow gumballs, and
11 pink gumballs.
The gumball machine dispenses 1 gumball at a time.
a) What is the probability of getting a pink gumball?
b) What is the probability of getting three pink gumballs in a
row?
c) If the machine was refilled, and you purchased 4
gumballs, what is the theoretical probability of the machine
dispensing 4 green gumballs?
d) If we add 8 orange gumballs to the machine, what is the probability
of getting two orange gumballs and then a yellow gumball.
be closest
at 18.
Answer:
Step-by-step explanation:
Prepare closing entireties for the concert hall bond fund
find midpoint AB if A (-5, 8) and B (7,-2)
Answer:
Midpoint = (1, 3)
Step-by-step explanation:
we have coordinates (x1, y1) and (x2, y2)
Then the midpoint is determined by
(x1 + x2)/2 , (y1 + y2)/2
=
[tex] \frac{ - 5 + 7}{2} \: \: \: \: \: \frac{8 + - 2}{2} [/tex]
= 1 , 3
What is the range of the data set 1 2 3 4 5 6 7
Answer:
6
Step-by-step explanation:
Range = Highest number - Smallest number
From the data
Highest number = 7
Lowest number= 1
Range = 7 - 1
RAnge = 6
Hence the range of the dataset is 6
HELP ASAP PLEASE
Which expression can be used to find the volume of the cone in this composite figure?
Answer:
option 1
Step-by-step explanation:
[tex]volume \ of \ cone = \frac{1}{3} \pi r^2 h \\r = 4\\h = 8\\so, volume = \frac{1}{3} \pi (4^2)( 8)[/tex]
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28
Find the circumference of the object.
2 meters
Answer:
circumference =2×3.14
circumference =6.28 m
Which coordinate point represents the y -intercept of the equation 3x + 2y = 18
Answer:
(-6,18)
Step-by-step explanation:
3x + 2y = 18
2y= -3x + 18
y=-3/2 x + 18
give x=0
y=-3/2 *0+18
y=18#
y=18
3x+2(18)=18
3x+36=18
3x=18-36
3x=-18
x=-18/3
x=-6
Bartholemew will draw with replacement 160 tickets at random from a box with five tickets [0, 0, 0, 1, 2]. Estimate the chance that the ticket with the 1 on it turns up on exactly 32 draws. Show your work. Please round your answer to the nearest whole percent. (Do not write the % sign, just the whole number.)
Answer:
0.0786
Step-by-step explanation:
It is given that Bartholemew had drawn the replacement of 160 tickets.
There are five tickets = [0, 0, 0, 1, 2]
Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.
Since the probability of the drawing 1 out of 5 tickets is given by, [tex]$\frac{1}{5} = 0.2$[/tex]
So the binomial with the parameter of n = 160 and p = 0.2, we get
P (it turns up on exactly 32 draws) = P(X = 32)
Therefore,
[tex]$C(160, 32)\times (0.2)^{32}\times (0.8)^{160-32}$[/tex]
= 0.0786
30 ft.
6 ft.
4 ft.
20 ft.
?
25 ft.
PLEASE HELP QUICK
Answer:
5 ft
Step-by-step explanation:
30/6 = 5
20/4 = 5
25/x = 5
25/5 = 5
x = 5
Answer:
5 feet
Step-by-step explanation:
the triangles are scaled by the factor of 5
one clothing truck visits avas place every 3 days and another clothing truck visits noahs place every 5 days if both clothing trucks visited today when is the next time both trucks visit on the same day
Answer:
15 days
Step-by-step explanation:
Given
[tex]Truck\ 1: 3\ days[/tex]
[tex]Truck\ 2: 5\ days[/tex]
Required
Next time they both visit
First, list out days of visitation of each truck
[tex]Truck\ 1: 3, 6, 9, 12, 15, 18, 21\ days.....[/tex]
[tex]Truck\ 2: 5, 10, 15, 20, 25, \ days.....[/tex]
Write out the common days;
[tex]Day = 15[/tex]
The next time they both visit is the after 15 days
Someone please help-
Answer:
It shows that 8 is not a factor of 44
It will be a factor of 44 is there is no decimal for the answer
Answer:
it shows that 8 is not a factor of 44
Step-by-step explanation:
because if the result was a whole number, then 8 would be a factor of 44.
Find the area of the composite figure below
Answer:
54
Step-by-step explanation:
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
The name of polygon is SRVUT.
What is Polygon?In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.
and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.
Here, the polygon will have name:
VRSTU
RSTUV
STUVR
TUVRS
UTVRS
Learn more about Polygon here:
https://brainly.com/question/24464711
#SPJ7
Wanda Frey insured her home for $156,400. Her annual insurance rate is $0.83
per $100. What annual premium did she pay?
Answer:
$1,298.12
Step-by-step explanation:
there are 1564 hundreds in 156,400
so 1564 x .83 = 1298.12
The graph below shows Ariana's pay as a painter. How much does Ariana charge per painting?
Army
2. A group of armed forces personnel were surveyed. The branch of service was recorded in the chart below.
Branch of Service Number of Members
165
Navy
135
Marine Corps
60
Air Force
130
Coast Guard
10
What would the degree measure for the sector for the Navy be in a circle graph?
43.20
97.20
93.60
118.80
Answer:
97.2°
Step-by-step explanation:
yw
The degree measure for the sector for the Navy be in a circle graph is 118.80.
What is angle of a sector ?"The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr2. When the Angle is 1°, area of sector = πr2/360° So, when the angle is θ, area of sector, OPAQ, is defined as; A = (θ/360°) × πr2."
Given here,
Navy = 165 members
Total members = 495
So, navy percentage in the circle is [tex]\165*495/ 100 = 27.27[/tex]
And, angle of the sector of Navy is = [tex]27.27*360/100[/tex] = 118.80
Hence, option D is correct.
To know know about degree measure here
https://brainly.com/question/23924161
#SPJ2
Define the variables and translate the following statements into
algebraic inequalities.
"You buy hamburgers at a fast food restaurant. A
hamburger costs $0.49. You have at most $3 to spend.
Write an inequality for the number of hamburgers (6) you
can buy."
The variable should be on the left side of the inequality.
Etion
Check
nikal bhosdike gaand mara
please hellp meeee :D
a) 20 ft
b) 32 mm
Step-by-step explanation:
a) The legs of the smaller triangle are 6-6-3. The larger triangle is 1/3 larger than the other triangle so the lengths of the legs are 8-8-4 so the perimeter is 20 ft.
b) Since one side of the larger square is 8 mm, this means that the perimeter is 4×8mm = 32 mm.
Answer:
i dont know what the answerris
Step-by-step explanation:
The formula for distance is d = r*t, where d = distance, r = rate, and t = time. If a car travels for 15 seconds at 88 feet per second, how far will it have traveled?
Hint: Substitute the given values for time (15) and rate (88 feet) into the formula and then solve
Answer:
1,320ft
Step-by-step explanation:
D= r(88)*t(15)
PLEASE HELPS ASAP!! ILL GIVE BRAINLIEST AND A THANKS!!
What is the area of a circle with a radius of 3/8 meters?
Answer:
3/8^2 = 9/64
9/64 x 3.14 = 0.4415625 rounded = 0.44
Formula area of a circle:
pi(3.14 or 22/7 or any other number depending what they tell you to use for pi) x radius(half of your diameter or given radius)^2(squared, to the power of 2)
pi x radius being squared
If AnB={1,0,-1} and AnC ={0,-1,2,3} then find An(BuC)
A n B = { 1 , 0 , - 1 }
A n C = { - 1 , 0 , 2 , 3 }
_________________________________
A n ( B U C ) =
( A n B ) U ( A n C ) =
{ - 1 , 0 , 1 } U { - 1 , 0 , 2 , 3 } =
{ - 1 , 0 , 1 , 2 , 3 }
(6.TA; 5. BLE) 4. Mrs. Turner buys oats for the animals on her farm. Each bag of oats weighs 7.4 ounces. If the animals eat 4.8 bags of oars, what is the total weight of the oats they cat (in ounces) Record your answer in the boxes. Then fill in the bubblcs. Be sure to use the correct place value.
Answer:
35.52 ounces
Step-by-step explanation:
7.4 * 4.8 = 35.52
Find the area of the composite figure
Answer:
area of semicircle=76.969 inches
triangle is=10 in so 20 since there is 2 triangles made
rectangle=140 in
236.969 inches is the total
hope this helps
have a good day :)
Step-by-step explanation:
Determine the mode of the following data set:
-- 3, 12, 5, 12, 11, 2, 3, 10, 7, 6, 1, 4
a. 12
b. 3 and 12
c. no mode
d. 5
Step-by-step explanation:
3 AND 12 MAY BE
HOPE IT HELP U ...
The _________ in the usage of words may be a serious barrier to effective communication
A 30 ft ladder is leaning against a wall making a 48 angle with the ground. Approximately how far from the wall is the base of the ladder?
Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean Absolute Deviation
Art 68.7 50 15.4
Science 54.2 55 7.9
She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?
Answer:
Yes
Step-by-step explanation:
Because the mean is the total of all the words divided by the number of pages, so if the mean is higher, that means that there are more pages on average in the art book than the science book.
Answer:
no
Explanation:
there is a lot of variability in the art book data
Find the values of x any y.
..........................,,,,,,,,.........................
There are so many types of angles, let's see what we've got here!
--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.
--(5x - 17) and y are supplementary angles.
--48 and y are same-side interior angles, which means that they are also supplementary.
Let's solve for x first.
5x - 17 = 48
5x = 65
x = 13
Now, let's solve for y.
48 + y = 180
y = 132
Hope this helps!! :)
solve the equation
f(n)=10⋅2n for n = -2
Answer:
f(n)= -40.
Step-by-step explanation: