The reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children is 50%.
How to illustrate the information?Number of children for 333 = 111 members
It should be noted that the total members is illustrated as:
= 666 + 111 + 111 + 888
= 1776
Therefore, the reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children:
= 888 / 1776
= 50%.
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Solve the equation for v.
v over 4 minus 2 equals negative 10
v/4 - 2 = -10
v = −32
v = −48
v = 12
v = 38
Answer:
the answer is v = -32
Step-by-step explanation:
where
v/4 - 2 = -10
v/4 = -10 + 2
v/4 = -8
v = -8 × 4
v = -32
hope this helps
Answer: The answer for this question is v = -32
Step-by-step explanation: just do math.
The rectangular floor of a classroom is 40 feet in length and 34 feet in width. A scale drawing of the floor has a length of 20 inches. What is the area, in square inches, of the floor in the scale drawing?
Step By Step: Okay, so we have that. The Rectangular four of the classroom is 36 x 32 ft. And we have a skilled drawing where the length is nine, and I'm guessing who you want to know or with to find the area. So we'll equate this to 36 ft Over 32 ft. So first we'll cross multiply nine and 32 and divide by 36 to find X or with. So thus we have nine times eight inches Equalling 72" squared. And so that's the area of the floor and the scale drawing.
1. How much of the original cake has not been shared
after the first division of the cake? How much of the
original cake has not been distributed after the fourth
division?
2.write a series that represents the amount of the original cake each person has after the fourth division.
3.how much of the original cake will each person have after the fourth division
4. Suppose you continue this process indefinitely. How much of the original cake will each of you receive?
The cake sharing process of the process using geometric progression gives the following values;
1. The amount of the cake left after the first division is one quarter of the cake
The amount of cake remaining after the fourth division is 1/256 of the original cake
2. The series is; (1/4 + 1/16 + 1/64+ 1/256 + 1/1024) of the original cake
3. 341/1024 of the original cake
4. If the process continues indefinitely each person gets (1/3) of the original cake
What is a geometric progression?A geometric progression is a sequence of numbers such that a term is found from the previous term by multiplying the previous term by a constant number.
1. Taking the dimensions of the cake as a square, let x represent the side length of the cake, we have;
Amount of cake left after the first division = x/4
The amount of the cake left after the first division is one quarter of the cakeAmount left after the second sharing = x/(4×4) = x/16
Amount left after the third division = x/(4×4) = x/(16×4) = x/64
Amount left after the fourth division = x/(64×4) = x/256
The amount of cake remaining after the fourth division is 1/256 of the original cake2. After the fourth division, each person receives x/(256×4) = x/1024
The series that represents the amount each person receives after the fourth division is therefore;
(1/4 + 1/16 + 1/64+ 1/256 + 1/1024) of the original cake3. The amount of the original cake each person gets after the fourth division is therefore;
1/4 + 1/16 + 1/64+ 1/256 + 1/1024 = 341/1024 of the original cake4. The amount each person receives is given by the sum of a geometric series up to infinity, where;
The first term, a = 1/4
The common ratio, r = 1/4
S = (1/4)/(1 - (1/4)) = (1/4)/(3/4) = (1/4)×(4/3) = 1/3
The amount of the original cake each gets if the process continues indefinitely is (1/3) of the original cake.
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X and y are integers.
The points that fulfill all inequalities are shaded on the graph given at the end of the answer.
What are the points that respect the inequality?The points that respect the inequality must respect these three conditions:
They must be above the horizontal line y = 2.They must be to the left of the line y = 4 - x.They must be to the right of the line 2x + 2.These three lines are plotted on the graph given at the end of the answer, and the shaded region in blue is the solution to the inequality, that is, it contains the set of points that respects all three conditions.
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what line is perpendicular to the line passing through the points (-4, 2) and (4, -1)
The line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2
Equation of a lineFrom the question, we are to determine the equation of the line that is perpendicular to the line passing through the given points
First, we will determine the equation of the line passing through the given points
The given points are (-4, 2) and (4, -1)
Using the formula,
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
x₁ = -4
y₁ = 2
x₂ = 4
y₂ = -1
Thus,
(y - 2)/(x - -4) = (-1 - 2)/(4 - -4)
(y - 2)/(x + 4) = (-3)/(4 + 4)
(y - 2)/(x + 4) = (-3)/(8)
8(y -2) = -3(x + 4)
8y - 16 = -3x -12
8y = -3x -12 + 16
8y = -3x + 4
y = -(3/8)x + 1/2
Now,
NOTE: A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line
In the above equation,
The slope of the line is -3/8
∴ The slope of the line that is perpendicular to the line will be 8/3
Thus,
The equation of the line will be y = (8/3)x + 1/2
Hence, the line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2
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Which of the following is the point and slope of the equation y - 8 = 4(x + 3)? a. (8, -3), 4 b. (3, -8), 4 c. (-8, 3), 4 d. (-3, 8), 4
Answer:
d
Step-by-step explanation:
This is point-slope form, and these coordinates make both sides equal to 0.
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Total Equity? Specify as a whole number.
The total equity of the company for the year ended is $43,900
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expenses=32,800+16,800+3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid
Retained earnings=$14,640+$ 10,260-$1,000
Retained earnings=$23,900
Having determined the retained earnings closing balance, the total equity , common stock plus the closing balance of retained earnings
Total equity=$20,000+$23,900
Total equity=$43,900
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Point G is the midpoint of segment FH. GH= 16x-19 and FG=12x+9. Find GH
The value of GH is 93.
Given,
Point G is the midpoint of segment FH.
GH= 16x-19 and FG=12x+9.
We need to find GH.
What is a midpoint?If there is a midpoint between two points the midpoint divided the line between two points into two equal lengths.
Example:
A ________B__________C
AB = BC
We have,
F_______G_______H
G is the midpoint.
GH= 16x-19
FG=12x+9.
FG = GH
16x-19 = 12x+9
16x - 12x = 9 + 19
4x = 28
x = 7
Now,
GH = 16x - 19
= 16 x 7 - 19
= 112 - 19
= 93
Thus the value of GH is 93.
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A file that is 289 MB is being downloaded. If the download it is 14.1% complete, how many megabytes have been downloaded?
On this question I’m supposed to round to the nearest 10th
Answer:
40
Step-by-step explanation:
Aunt rose baked 2 1/2 dozen cookies. Her grandson, ricky ate _ of them. How many cookies did rocky eat?
Taliba has $31 to spend ordering some new phone cases. Each phone case costs $4, and there is also a $7 shipping charge. How many phone cases, n, can Taliba buy?
A pattern defines the relationship between the first two terms. Determine the relationship and identify the missing term of the second pair, such that both pairs are analogous. AGD : EKH :: IOL :
The missing term of the second pair, such that both pairs are analogous is WKPA.
How to explain the information?For the first two terms, S is 1 letter before Q,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,N is next to FM.
For the first two terms S is 1 letter before Q,F is 1 letter before D,Y is next to X ,N is next M.Similarly, UIOZ : WKPA. Where W is 1 letter before U,K is 1 letter before I, O is next to P,Z is next A.
Therefore, the correct option is D.
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Refer to the terms given below. There is a pattern that defines the relationship between the first two terms. Determine this relationship and then identify the missing term of the second pair, such that both the pairs are analogous. QDXM : SFYN :: UIOZ : 1) PAQM 2) LPWA 3) QNLA 4) WKPA
jijuygtfrdw34w2dddggjhtfexer34dutkeiritnty88
Answer:
The answer is 7.
-1-(-8)
Subtracting a negative number from a negative number (-) a minus sign followed by a negative sign, turns the two signs into a plus sign.
^ I forgot what I was trying to prove.
Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.
12 + 18
Answer:
GCF = 6
The original sum rewrites to 6(2+3)
=================================================
Explanation:
Notice we have these factorizations
12 = 6*2
18 = 6*3
Which shows that 6 is the greatest common factor (GCF)
So,
12+18 = 6*2+6*3 = 6*(2+3)
We use the distributive property which is a(b+c) = ab + ac
I'll leave the 2+3 part un-simplified so that you can see the two original pieces, and how the 6 can multiply with them both to get back to 12+18 again.
A prize is divided into the ratio 5:3 if the difference between the shares is £42 what is the total price?
Ty for helping :)
Answer:
£168
Step-by-step explanation:
Let the total prize be 8x, then the two prizes will be 5x and 3x.
Then, difference between the prizes = 2x
=> 5x - 3x = £42
=> 2x = £42
=> x = £42/2
=> x = £21
As mentioned above, the total prize is 8x.
So, total prize = 8 × x = 8 × £21 = £168
Please help with work shown (Geometry)
Answer:
RS= 45
Step-by-step explanation:
According to the rules of the triangle...
RS = RQ
The test scores for 9 students on the Unit 1 Test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the
value of the first quartile for this data set?
OA. 40
OB. 60
OC. 80
OD. 100
Answer:
40
Step-by-step explanation:
how many data? : 9
(9+1) x 1/4 = 2.5 (no 2.5: between 35 and 45)
(35+45)/2 = 40
help pleaseeeeeeeeeeeeeeeeeeee !!
Answer:
g(x) = x² + 8x
x + 4
if x = -6 (replace x with -6 )
Using the formula above
g(-6) = -6² + 8(-6)
-6 + 4
= 36 - 48
-2
= -12
-2
(minus cancels each other)
Answer = 6
Remember you can always use a calculator to check (I'm using also)
Hope this helps xoxo :-)
Dji manufactured the Mavic air 2 quadcopter and offered a 10/8/7 chain discount to primary customers. Drone nerds is a primary customer and ordered 15 mavic Air2's for a total $23,500 list price
The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.
What is the chain discount?An assortment of trade discount rates or their sum is referred to as a chain discount.
DJI produced the Mavic Air 2 quadcopter and gave its top clients a 10/8/7 chain discount. The company's main client, Drone Nerds, bought 15 Mavic Air2 drones for a total of $23,500 list price.
Then the price of the DJI Mavic Air2 drones after the chain discount is applied will be
⇒ $23,500 x 0.90 x 0.92 x 0.93
⇒ $18,095.94
The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.
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Given mn, find the value of x.
(2x-16)°
(4x+4)°
Answer:
x = 32
Step-by-step explanation:
Since m||n and the angles formed are on the same transversal, the angles are corresponding angles i.e. their sum adds up to 180°
Using given data
2x - 16 + 4x + 4 = 180
==> 6x - 12 = 180
==> 6x = 180 + 12 (by adding 12 on both sides)
==> 6x = 192
x = 192/6
x = 32
evavluate the limit, lim x→−8 (4x − 6)
Answer: -38
Step-by-step explanation:
lim x→−8 (4x − 6)=
4(-8) − 6=
-32-6=
-(32+6)=-38
Factor the expression by factoring out the greatest common factor
32z18+8z11+12z7=
226 divided by 896451
Can someone help with this problem?✨
An interior decorator needs border trim for a home she is wallpapering. She needs 51 feet of border trim for the living room, 39 feet of border trim for the bedroom, and 48 feet of border trim for the dining room. How many yards of border trim does she need? She needs yards of border trim.
Answer:
138
Step-by-step explanation:
51+39+48 because its total
if p/q=r/s then (p+q)/(r+s) is
if p/q=r/s then (p+q)/(r+s) is Ratio and proportion
(p+q)/(r+s)=q
Given,
p/q=r/s
ps=rq
p=rq/s
Putting these value of (p+q)/(r+s) is q
The ratio is used to compare two amounts of the same type. For two numbers, a and b, the ratio formula is written as a: b or a/b. The ratio and proportion concepts are based on fractions. Ratio and proportion are the fundamental building blocks for many other notions in mathematics. Ratio and proportion are useful in addressing many everyday difficulties, such as comparing heights, weights, distance, or time, or when combining ingredients in cookery, and so on.
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is 1 15/61 a rational number?
12. A private corporation owned by 35 shareholders is worth $1.7 million.
The corporation loses a lawsuit worth $3 million. What is the value
of any personal property of the shareholders that can be taken to pay
the settlement? Explain.
vo sv.
wested... the
od oqually by 13 partners is worth $1.3 million.
Final answer : Shareholders' personal property cannot be taken to settle the company
Definition : A company is treated as a person with the legal capacity to enter into a contractual obligation, own properties, sue or be sued. A company uses a common seal as its signature and any documents bearing company seal are legally enforceable.
Given Data:
A private corporation owned by 35 shareholders is worth $1.7 million.
The corporation loses a lawsuit worth $3 million.
To find :
What is the value of any personal property of the shareholders that can be taken to pay the settlement?
Solution:
shareholders' liability is limited.
A shareholder cannot lose more than the value of stock owned in a company.
Shareholders' personal property cannot be taken to settle the company obligation because a company is a different entity from its shareholders.
Main Answer : Shareholders' personal property cannot be taken to settle the company
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Help.........................................
Answer:
the bottom left graph is a function
Step-by-step explanation:
for questions like this pertaining a graph, you can use the vertical line test. essentially for a function, an x value cannot have multiple y values. so, the function cannot have any two or more points that lie on the same vertical line.
the top left graph is literally a vertical line, so that doesn't work
the top right is a circle. draw a vertical line and you see it always intersects two points
the bottom right graph draw a vertical line. two points again, right?
only the bottom left works with the vertical line test.
help please i need it
Answer:
You need 7 strawberries to make 1 cup of smoothy
so that means 21 strawberries for 3
and 10 smoothies need 70 strawberries
