Answer:
\(\frac{2}{3}\)
Step-by-step explanation:
Probability (P) is calculated as
P = \(\frac{number}{count}\)
Since P(eclair) = \(\frac{1}{15}\) and there are 3 eclairs, then original probability before simplification must have been
\(\frac{3}{45}\)
meaning the total number of sweets is 45, so
3 + 2x + 6 + x = 45
3x + 9 = 45 ( subtract 9 from both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Then number of humbugs = 2x + 6 = 2(12) + 6 = 24 + 6 = 30
P(humbug) = \(\frac{30}{45}\) = \(\frac{2}{3}\)
pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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Mary has a large sum of money to deposit, but since she has heard many stories from her grandmother about the Great Depression, when many banks lost their customers’ deposits, she is worried that the bank might not keep her money safe. Give Mary some recommendations about what she can do to make sure that her money stays protected.
Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.
Find the solution of x'y + 5xy' +(4+ 3x)y=0, 2 > 0 of the form yaz İZ? n0 where co = 1. Enter T = C = n=1,2,3,... Note: You can earn partial credit on this problem.
The general solution of the differential equation is :y = c1x⁻¹ + c2x⁻¹ln(x)where c1 and c2 are constants.
Given differential equation is
x'y + 5xy' + (4 + 3x)y = 0 ......(i)
Let y = xzSo, y' = xz' + z .....
(ii) and y'' = xz'' + 2z' .....
(iii)Substituting equations
(ii) and (iii) in equation (i), we have :
x(xz'' + 2z') + 5x(xz' + z) + (4 + 3x)(xz) = 0x²z'' + (7x/2)z' + (3/2)xz = 0
Dividing each term by x², we get :
z'' + (7/2x)z' + (3/2x²)z = 0
This is a Cauchy-Euler equation whose characteristic equation is :r² + (7/2)r + (3/2) = 0Solving the above equation by quadratic formula,
we get :r1 = -1/3 and r2 = -1
Substituting the given value of co = 1 in the general solution, we have :y = T(x)zT(x) = x⁻¹ + Cx⁻¹ln(x)where C = yaz.
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Help me please I’m struggling with this subject :/
Answer:
I believe the answer is 135 square feet.
Step-by-step explanation:
so 10x12=120. 10x3=30 and you divide the triangle by 2 so 30/2=15. 120+15=135
well, we don't know the cost of the carpet, however hmmm we know the cost of the carpet is 4 bucks per ft², which means we need to know how many ft² the Randall family is going to use in the first place hmmmm, Check the picture below.
\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=10 \end{cases}\implies \begin{array}{llll} A=\cfrac{10(12+15)}{2} \\\\\\ A=\cfrac{10(27)}{2}\implies A=135~ft^2 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{per~ft^2}{(4)}~~\stackrel{area~in~ft^2}{(135)}\implies \stackrel{\$}{540}\impliedby \textit{total cost}\)
the minimum requirements for a class i aluminum main lightning conductor are ? strand size, 95 pounds/1,000 feet weight per length, and a cross-sectional area of 98,600 circular mils.
The minimum requirements for a class i aluminum main lightning conductor are a strand size, 95 pounds/1,000 feet weight per length, and a cross-sectional area of 98,600 circular mils.
These requirements are set by industry standards and regulations to ensure the safety and effectiveness of the lightning protection system. The strand size refers to the diameter of the individual wires that make up the conductor, which must meet a minimum size to withstand the forces of a lightning strike. The weight per length is a measure of the conductor's strength and durability, with a higher weight indicating a more robust design. Finally, the cross-sectional area is the total area of the conductor's circular shape, which impacts its ability to conduct electrical current and dissipate the energy from a lightning strike.
Overall, meeting these minimum requirements is essential for ensuring that a lightning protection system is capable of effectively capturing and directing the energy from a lightning strike to the ground, protecting the building and its occupants from potential harm.
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the population of a city increases by 2.5% each year. how many years , to the nearest tenth, will it take until the population if the city increases from 120000 people to 180000 people?
To find the number of years it will take for the population of a city to increase from 120000 to 180000, we need to use the formula:
Years = log (target population / starting population) / log (1 + annual growth rate)
Where the annual growth rate is 2.5% or 0.025.
Plugging in the values, we get:
Years = log (180000 / 120000) / log (1 + 0.025)
Years = log (1.5) / log (1.025)
Years = 7.36 years
Rounding to the nearest tenth, we get:
Years = 7.4 years
So it will take approximately 7.4 years for the population of the city to increase from 120000 to 180000 people, assuming a constant annual growth rate of 2.5%.
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where did Goku die nnnnnnnnnnnnnnnnnnnnnnnn
Answer:
Goku died you I just started watching
The price of a 6-minute phone call is 1. 80. What is the price of a 18-minute phone call?
Answer:
5.40
Step-by-step explanation:
let X represent the price of a 18 minute phone call
X=18 ×1.80
6
= 5.40
The value of x is
and the value of y is
Answer:
Y = 50 degrees, X = 60 degrees
Step-by-step explanation:
Since we know that the sum of angles in a triangle is 180 degrees, we can find x easily. We already know that the other two angles are 50 and 70, which adds up to 120, and 180 - 120 is equal to 60 degrees, meaning that x is equal to 60 degrees. Next, to find the measure of y, we first know that the sum of angles on a line is equal to 180 degrees, and if we find the other angle on the line by subtracting 60 + 50 from 180, we can find y. 180 - (60 + 50) = 70 degrees, and since 70 + x + y = 180 and x = 60, we know that x = 180 - (70 + 60) = 50. Therefore, y is equal to 50 degrees.
Answer:
Step-by-step explanation:
A and B are original partners with a partnership net book value of $200,000. Recorded net assets have a fair value of $220.000. Profit/oss percentages: A=60%, B=40%. C acquires 20% interest in capital for $45,000 cash. Prepare the journal entries to record the above transactions?
The journal entries to record the above transactions to calculate the profit and loss can be summarized as follows:
The journal entries for the above transactions are as follows:
1. Initial setup:
Dr. Partner A's Capital (Equity) $120,000
Dr. Partner B's Capital (Equity) $80,000
Cr. Partnership Net Book Value $200,000
2. Adjustment for fair value:
Dr. Partnership Net Book Value $20,000
Cr. Unrealized Gain on Revaluation $20,000
3. Investment by Partner C:
Dr. Cash (Asset) $45,000
Cr. Partner C's Capital (Equity) $45,000
The initial setup entry reflects the original partnership net book value of $200,000. It debits Partner A's capital with 60% ($120,000) and Partner B's capital with 40% ($80,000) of the net book value.
The adjustment entry accounts for the difference between the recorded net assets' fair value ($220,000) and the net book value ($200,000). The partnership net book value is increased by $20,000, representing the unrealized gain on revaluation.
The investment entry records Partner C's acquisition of a 20% interest in the partnership capital for $45,000 cash. Cash is debited, and Partner C's capital account is credited with the investment amount.
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Which of the following expressions has a value of 0?
A (2-3) - (2-3)
B (2-3) - 12-31
c
© (2 – 3) +(-3+2)
(
D
D
2 - 31 - (-3+2)
Answer:
(2-3)-(2-3)
Step-by-step explanation:
So If You Calculate the first (2-3) your answer will be -1 Then You Will Calculate The Answers Which are:(-1)-(-1) Then You Will Get 0
Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)
Step-by-step explanation:
We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.
-2x+7>17
subtract 7 on both sides
-2x>10
divide by -2. remember that dividing by a negative flips the greater than or less than sign.
x<-5
the answer is D
A marble statue has a mass of 1600 kg and is
270 cm tall.
The density of marble is 2500 kg/m³.
Justin makes a mathematically similar model
of the statue out of clay.
The model is 45 cm tall and has a density of
1200 kg/m³.
What is the mass of Justin's model?
Give your answer to 3 significant figures
Answer:
3.56 kg
Step-by-step explanation:
You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.
VolumeThe ratio of volumes of the model to the statue is the cube of the ratio of their heights:
Vm/Vs = (Hm/Hs)³
Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³
Vm ≈ 0.002963 m³
MassThe mass of the model is the product of its volume and its density:
Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg
The mass of Justin's model is about 3.56 kg.
__
Additional comment
The relationship between density, volume, and mass is ...
ρ = mass/volume
This can be rearranged to ...
volume = mass/ρ
Which is the expression we used for Vs in the first section above.
(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)
<95141404393>
The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.
How to find the mass of Justin's modelTo find the mass of Justin's model, we can use the concept of mathematical similarity.
Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.
Let's calculate the volume ratio first:
Volume ratio = (Height of model / Height of statue)^3
= (45 cm / 270 cm)^3
= (0.1667)^3
= 0.00463
Now, using the density ratio:
Density ratio = Density of model / Density of statue
= 1200 kg/m³ / 2500 kg/m³
= 0.48
Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:
Mass of Justin's model = Mass of statue * Volume ratio * Density ratio
= 1600 kg * 0.00463 * 0.48
= 3.5712 kg
Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.
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the top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. if the area of printed material on the poster is fixed at 1536 cm2, find the dimensions of the poster with the smallest area. width 1 48 correct: your answer is correct. cm height
The dimensions of the poster with the smallest area are 48 cm by 16 cm.
Let the width of the printed material be x cm and the height be y cm. Then the total width of the poster including the margins is (x + 16) cm, and the total height is (y + 24) cm.
The total area of the poster is the area of the printed material plus the area of the margins:
(x + 16)(y + 24) = 1536
Expanding the left side, we get:
xy + 16y + 24x + 384 = 1536
Rearranging terms, we get:
xy = 1152 - 16y - 24x
To find the dimensions of the poster with the smallest area, we want to minimize the product xy subject to the constraint given by the equation above.
One way to do this is to use the method of Lagrange multipliers. Let L = xy + λ[(x + 16)(y + 24) - 1536] be the Lagrangian, where λ is a Lagrange multiplier. Setting the partial derivatives of L with respect to x, y, and λ equal to zero, we get:
y + 16λ = 0
x + 24λ = 0
(x + 16)(y + 24) = 1536
From the first two equations, we get:
x = -24λ
y = -16λ
Substituting these into the third equation, we get:
(-24λ + 16)(-16λ + 24) = 1536
Simplifying, we get:
-6λ + 4 = 0
Therefore, λ = 2/3. Substituting this into the expressions for x and y, we get:
x = -16
y = -32
These values give the dimensions of the printed material. To find the dimensions of the poster, we add the margins:
width = x + 16 + 16 = 48 cm
height = y + 24 + 24 = 16 cm
Therefore, the dimensions of the poster with the smallest area are 48 cm by 16 cm.
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4
ASSIGNMENT (USE YOUR ASSIGNMENT NOTE)
1. James runs 400m every day. Work out how far James runs in one week. Give your
[3 marks]
answer in kilometres.
2. Here is a signpost
Town Center
3.5km
Park
650m
How far apart are the Town Centre and the Park?
Give your answer in kilometres.
(3 marks)
3. A bottle contains 1.75 litres of lemonade.
A can contains 330 ml of lemonade. Phil has 2 bottles of lemonade and 6 cans of
lemonade. How much lemonade does he have in total? Give your answer in millilitres.
For question 1,
James runs 400m in a day
In a week = 7 days
400m × 7 days = 2800m
To convert 2800m to km
1km = 1000m
So, 2800m/1000m
= 2.8 km
For question 2,
How far are the Town Center and the Park
3.5 km and 650m
650m to km
1km = 1000m
To km = 0.65km
The distance = 3.5km - 0.65km
= 2.85km
So, they are 2.85km apart
For question 3,
A bottle = 1.75 liters of lemonade
A can = 330 ml of lemonade
1.75 liters to milliliters
1 liter = 1000 milliliter
= 1.75 × 1000 ml
= 1750 ml
2 bottles of lemonade
1750ml × 2
= 3500 ml
6 cans of lemonade
330ml × 6
= 1980 ml
In total, 3500ml + 1980ml
= 5480 ml
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what fraction with a denominator of 12 is equivalent to 23? enter a number in the box to create the equivalent fraction. 23
there is no common factor between 23 and 12, since 23 is a prime number. Therefore, we cannot simplify 23/1 to get an equivalent fraction with a denominator of 12.
It is not possible to create a fraction with a denominator of 12 that is equivalent to 23.
To understand why, we can look at the definition of equivalent fractions. Two fractions are equivalent if they represent the same value. This means that if we can simplify one fraction to get the other, then they are equivalent.
In this case, we have the fraction 23, which can be written as the improper fraction 23/1. To find an equivalent fraction with a denominator of 12, we need to simplify 23/1 by dividing both the numerator and denominator by a common factor until the denominator becomes 12.
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It takes your equipment 3 minutes to travel 264 feet. what speed is the equipment traveling?
Answer:
To determine the speed, we can use the formula:
speed = distance / time
where distance is measured in feet and time is measured in minutes.
In this case, the distance is 264 feet and the time is 3 minutes. Plugging these values into the formula, we get:
speed = 264 feet / 3 minutes
simplifying, we get:
speed = 88 feet/minute
Therefore, the equipment is traveling at a speed of 88 feet per minute.
I can't figure this out, help-
-2(7-y)+4= -4
-14+2y =-4-4
-14 + 2y = -8
2y = -8+14
y = 6/2
y = 3
How many solutions does the equation 3x − 7 = 4 6 4x have? two none infinitely many one
you can do anything to an equation as long as you do it to both sides
first, simplify
3x-7=4+6+4x
3x-7=10+4x
minus 3x both sides
3x-3x-7=10+4x-3x
0-7=10+1x
-7=10+x
minus 10 both sides
-10-7=10-10+x
-17=0+x
-17=x
one solution
In mathematics, an equation is an expression that states that two expressions are equal by joining them with the equal sign =.[2][3]. Equations and their cousins in other languages may have subtly different meanings. For example, in French, an equation is defined as containing one or more variables, whereas in English any well-formed expression consisting of two expressions joined by an equal sign is an equation.
To solve an equation involving variables, it is necessary to determine which values of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values of the unknowns that satisfy the equation are called the solution of the equation. There are two types of equations: identities and constraints. The ID applies to all values of the variable. Constraint equations apply only to specific values of variables.
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What is the equation of a line that is perpendicular perpendicular to y=-(3)/(4)x+9 and goes through the point (6,4)
The equation of a line that is perpendicular to y=-(3)/(4)x+9 and goes through the point (6,4) is y = 4x/3 - 14/3.
Given line is y = -(3)/(4)x+9
We know that if two lines are perpendicular to each other, the product of their slopes is equal to -1.Let the required equation of the line be y = mx+c.
Therefore, the slope of the line is m.To find the slope of the given line:y = -(3)/(4)x+9
Comparing it with the general equation of a line:y = mx+c
We can say that slope of the given line is -(3/4).
Therefore, slope of the line perpendicular to the given line is: -(1/(-(3/4))) = 4/3
Let the equation of the perpendicular line be y = 4/3x+c.
The line passes through (6, 4).Therefore, we have:4 = 4/3 * 6 + c4
= 8 + cC
= 4 - 8
= -4
Therefore, the equation of the required line is:y = 4x/3 - 14/3.
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At a school bookstore, a ballpoint pen costs $0.28 and a notepad costs $0.23. What could you buy and to spend exactly $0.74?
Mathhhhhhhhhhhhhhhhhhhh
Which statement applies?
Answer:
it is the first one because you would be deciding by 2
Make X the
subject of m=n+x/p
Answer:
x = pm - pn
Step-by-step explanation:
m = n + \(\frac{x}{p}\) Subtract n from both sides
m - n = n - n + \(\frac{x}{p}\)
m-n = \(\frac{x}{p}\) Multiply both sides by p
p(m - n) = (\(\frac{p}{1}\)) \(\frac{x}{p}\) \(\frac{p}{1}\) means the same as p
pm - pn = x Distribute the p
x = pm - pn
What is the exact value of tan (9 pi)/12
Answer:
tan(9pi/12) = 0.041146549
Step-by-step explanation:
i need help asap!!! thx u
The distance of the ball thrown is 67 ft. approx.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here θ=63 and length of the field as 60 and let d be the distance
∴ Cos (180-63-90)=60/d
d = 60/cos(27)
d = 67 (approx)
Hence, The distance of the ball thrown is 67 ft. approx.
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Help with this question
The theoretical and experimental probabilities are equal.
What is probability?Probability determines the likelihood of a random event occurring. The ratio of the number of favorable outcomes to the total number of possible outcomes is known as theoretical probability.
Theoretical probability = number of odd sides/ die sides
Here given that the numbers that are odd comes 6
So,
6/20 = 3/10 theoretical probability
The outcome of an experiment that has been repeated multiple times is used to calculate experimental probability.
Experimental probability = number of times Tani landed on a odd number divided by the number of times the experiment was performed
6/ 20= 3/10.
Therefore here , both experimental and theoretical probabilities are equal.
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Within-groups design compares which of the following same subjects across time two or more groups with different subjects two or more independent groups across time none of the above
Within-groups design compares the same subjects across time. In this design, participants are measured or observed on multiple occasions, such as before and after an intervention or at different time points.
The purpose of the within-groups design is to examine changes within individuals over time, allowing researchers to assess the impact of an intervention or the natural progression of a phenomenon within the same group of subjects.
By comparing the same subjects across time, within-groups designs help to control for individual differences and increase the internal validity of the study.
This design allows researchers to evaluate the effectiveness of an intervention by assessing changes within individuals and determining if those changes are statistically significant.
It also allows for a more precise assessment of the impact of an intervention or the stability of a phenomenon over time.
Within-groups designs are commonly used in fields such as psychology, education, and medicine to study changes in behavior, cognition, or health outcomes.
They provide valuable insights into individual responses to interventions or the natural course of development or disease progression within a specific group of subjects.
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slope = 1 y-intercept = 3
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
1x is the same as x
a student is buying pens and markers for school. Packs of pens cost $2.75 each and packs of markers cost $3.25 each. If she bought a total 6 packs and spent $17.50, how many of each did she buy?
Answer:its D
Step-by-step explanation:
Let's say there are 2 different dice. On one die, you have a 66% chance of winning. On the other, you have a 33% chance of winning. What are the odds that you win on BOTH die?
Answer:
I think it is 49.5
Step-by-step explanation:
i say this because you add the 2 percentages together then you divide it by how many dice there are and in this case it is 2. so 66 plus 33 =99
and 99 divided by 2 is 49.5