Answer:
The method of finding the total outcomes of an event allows you to see all possible outcomes is tree diagram.
The method of finding all possible outcomes is called tree diagram.
What is a tree diagram?A probability tree is a picture indicating probabilities and some conditional probabilities for combinations of two or more events. Tree diagrams display all the possible outcomes of an event. Each branch in a tree diagram represents a possible outcome.
For the given situation,
By definition,
The method of finding the total outcomes of an event allows you to see a all possible outcomes is tree diagram.
Hence we can conclude that the method of finding all possible outcomes is called tree diagram.
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Name three pairs of parallel segments below.
Answer:
hypotenuse,adjacent and opposite
The specific heat of brass is 0.38 J/g*K, aluminum is 0.91 J/g*K, lead is 0.13 J/g*K, and water is 4.187 J/g*K.
Required:
Write equation in variable format.
The equation relating specific heat (C), mass (m), temperature change (ΔT), and heat energy (Q) is Q = C * m * ΔT. Using this equation, we can calculate the amount of heat energy transferred when a substance undergoes a temperature change.
The equation Q = C * m * ΔT represents the relationship between heat energy (Q), specific heat (C), mass (m), and temperature change (ΔT). In this equation, Q is the heat energy transferred in joules, C is the specific heat in J/g*K, m is the mass of the substance in grams, and ΔT is the change in temperature in Kelvin.
To calculate the amount of heat energy transferred, we multiply the specific heat by the mass and the temperature change. For example, if we have 100 grams of brass and we want to raise its temperature by 10 degrees Celsius, we can use the specific heat of brass (0.38 J/g*K) in the equation.
Q = (0.38 J/g*K) * (100 g) * (10 K) = 380 J
This means that 380 joules of heat energy would be transferred to the brass to raise its temperature by 10 degrees Celsius.
Similarly, we can use this equation to calculate the heat energy transferred for other substances such as aluminum, lead, or water, by substituting their respective specific heat values, mass, and temperature change into the equation.
In summary, the equation Q = C * m * ΔT allows us to determine the amount of heat energy transferred when a substance undergoes a temperature change, based on its specific heat, mass, and temperature difference. By using this equation, we can calculate the heat energy required or released during various heating or cooling processes.
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Element X is a radioactive isotope such that every 25 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how much of the element would remain after 23 years, to the nearest whole number?
Answer: 26
Step-by-step explanation:
6. what are the two most generic and widely used valuation multiples?
The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.
1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.
A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.
2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).
The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.
The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.
Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.
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Find the equation of a line that passes through the points (-1,3) and (1,-5).
Leave your answer in the form as y=mx+c
Answer:
\(y=-4x+7\)
Step-by-step explanation:
According to the formula of the equation of the line passing through two given points
\(y-y1=m(x-x1)\)
where m=slope of the line
\(m=(y2-y1)/(x2-x1)\) ---->eq (II)
where \(y2=-5 , y1=3 , x2=1 , x1=-1\)
Substituting the
values in eq(II)
\(m=(-5-3)/(1-(-1))=-8/2=-4\)
Substituting the value of m in eq(I)
\(y-3=-4(x-(-1))\\= > y=-4x+7\)
So the equation of the line passing through the given points is
\(y=-4x+7\)
Answer: y+2x−1=0
Step-by-step explanation: Let's say A is the point (−1,3) and B is the point (3,−5)
The equation of a line that passes through two points is
y−y0=m(x−x0)
Replace x,x0,y and y0
by the coordinates of the two points to find your slope
⇒m
.
It doesn't matter which point you choose to replace
x,x0,y and y0 with as long as you pair xwith yand x0 with
y
0
.
m
=
y
−
y
0
x
−
x
0
=
−
5
−
3
3
−
(
−
1
)
=
−
5
−
3
3
+
1
=
−
2
Now, all you have to do is to choose either the coordinates of
A
or
B
to replace in the equation of a line that passes through two points
⇒
y
−
y
0
=
m
(
x
−
x
0
)
. You are only going to replace
x
0
and
y
0
.
I'm using the point
A
(
−
1
,
3
)
⇒
y
−
y
0
=
m
(
x
−
x
0
)
⇒
y
−
3
=
−
2
(
x
+
1
)
⇒
y
−
3
=
−
2
x
−
2
⇒
y
+
2
x
−
1
=
0
is your line.Let's say
A
is the point
(
−
1
,
3
)
and
B
is the point
(
3
,
−
5
)
The equation of a line that passes through two points is
y
−
y
0
=
m
(
x
−
x
0
)
Replace
x
,
x
0
,
y
and
y
0
by the coordinates of the two points to find your slope
⇒
m
.
It doesn't matter which point you choose to replace
x
,
x
0
,
y
and
y
0
with as long as you pair
x
with
y
and
x
0
with
y
0
.
m
=
y
−
y
0
x
−
x
0
=
−
5
−
3
3
−
(
−
1
)
=
−
5
−
3
3
+
1
=
−
2
Now, all you have to do is to choose either the coordinates of
A
or
B
to replace in the equation of a line that passes through two points
⇒
y
−
y
0
=
m
(
x
−
x
0
)
. You are only going to replace
x
0
and
y
0
.
I'm using the point
A
(
−
1
,
3
)
⇒
y
−
y
0
=
m
(
x
−
x
0
)
⇒
y
−
3
=
−
2
(
x
+
1
)
⇒
y
−
3
=
−
2
x
−
2
⇒
y
+
2
x
−
1
=
0
is your line.
Examine the system of equations. −3x y = 4, −9x 5y = −1 what is the solution? ( , )
The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.
Given two equations in x and y,
-3x + y = 4 (equation 1)
-9x + 5y = -1 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -3x + y = 4 ⇒ y = 3x + 4
-9x + 5y = -1 (equation 2)
-9x + 5(3x + 4) = -1
-9x + 15x + 20 = -1
6x = -21
x = -3.5
Substitute the value of x in equation of y and solve for y.
y = 3x + 4
y = 3(-3.5) + 4
y = -6.5
Hence, the solution to the following system of equations is (-3.5 , -6.5).
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Answer:
(-3.5 , -6.5)
Step-by-step explanation:
For each value of θ , find the values of cos θ, sinθ , and tan θ . Round your answers to the nearest hundredth. 16°
The values of cos(16°) ≈ 0.96, sin(16°) ≈ 0.28, tan(16°) ≈ 0.29.
To find the values of cos θ, sin θ, and tan θ for θ = 16°, we can use the trigonometric ratios.
First, let's start with cos θ. The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. Since we only have the angle θ = 16°, we need to construct a right triangle. Let's label the adjacent side as x, the opposite side as y, and the hypotenuse as h.
Using the trigonometric identity: cos θ = adjacent / hypotenuse, we can write the equation as cos(16°) = x / h.
To find x and h, we can use the Pythagorean theorem: x^2 + y^2 = h^2. Since we only have the angle θ, we can assume one side to be 1 (a convenient assumption for simplicity). Thus, y = sin(16°) and x = cos(16°).
Now, let's calculate the values using a calculator or a trigonometric table.
cos(16°) ≈ 0.96 (rounded to the nearest hundredth).
Similarly, we can find sin(16°) using the equation sin(θ) = opposite / hypotenuse. sin(16°) ≈ 0.28 (rounded to the nearest hundredth).
Lastly, we can find tan(16°) using the equation tan(θ) = opposite / adjacent. tan(16°) ≈ 0.29 (rounded to the nearest hundredth).
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-5√243-3√27
√500+√20+11√5
2√45+2√90+3√45
3√54+3√3-2√384
3√7+2√32-4√175
√20+2√80+√72-√5
-3√28+8√3-√3007√112
4√24-2√80+11√6-3√216
Answer: -8969.31346074
Explanation: its the answer because thats what i got when i did the math
Simplify. 1/3(1−1/4)2 Enter your answer, as a simplified fraction, in the box.
Answer:
3/ 16
Step-by-step explanation:
I hope this helps :)
Simplify: 5 1/3 − 3 5/6
Answer:
1 1/2
Step-by-step explanation:
[Given]
5 1/3 − 3 5/6
[Subtract whole numbers
5 - 3 = 2
[Get common denominters]
1/3 -> 2/6
[Subtract fractions]
2/6 - 5/6 = -3/6 = -1/2
[Simplify
2 - 1/2 = 1 1/2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
8 gal to 9 1/3 gal write ratio in lowest form with whole numbers in numerator and denominator
Answer:
\(\bold{\dfrac{6}{7}}\)
Step-by-step explanation:
Given ratio is:
8 gal to \(9\frac{1}3\) gal
To find:
Ratio in Lowest form with whole numbers in numerator and denominator.
Solution:
First of all, let us convert \(9\frac{1}3\) to simple \(\frac{p}{q}\) form:
Formula:
\(a\dfrac{b}{c} = \dfrac{a\times c+b}c\)
Using the formula, we get:
\(9\dfrac{1}{3} = \dfrac{9\times 3+1}{3} = \dfrac{28}{3}\)
Now, let us have a look at the ratio:
\(8 : \dfrac{28}{3}\)
Any ratio, \(p:q\) can be written as \(\frac{p}{q}\).
Writing given ratio as per above:
\(\dfrac{8}{\dfrac{28}{3}}\\\Rightarrow \dfrac{8 \times 3}{28}\\\Rightarrow \dfrac{2\times 3}{7}\\\Rightarrow \bold{\dfrac{6}{7}}\)
Therefore, the answer is
\(\bold{\dfrac{6}{7}}\)
A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?
Answer:
1/2 a minute (30 seconds)
Step-by-step explanation:
475/50=9.5
450/50=9
9-9.5=.5
13. The table shows the prices of several types of rice.
Thomas purchases 1.25 pounds of white long
grain rice and 2.25 pounds of brown jasmine rice.
If Thomas pays for his purchase with a $20 bill,
how much will he receive in change? Round the
answer to the nearest cent.
Rice
White Long Grain
White Basmati
Brown Jasmine
Cost (per lb)
$0.70
$1.85
$2.10
1.
2
HOW IS THE ANSWER HELP PLEASE✋
Hence the change that Jasmine is going to receive from the expenditure on the rice is $14.4
How to solve for the changeThe price of the white long grain rice = 0.70 dollars
The price of the brown jasmine rice is 2.10 dollars
The quantity that was bought from each is 1.25 and 2.25
Hence we would have the total expenses as
0.70 dollars x 1.25 and
2.10 dollars x 2.25
= 0.875 + 4.725
= 5.6 dollars
Hence the total expenditure that Jasmine has done is 5.6 dollars. The difference would be the change that he would receive.
= $20 - $5.6
= $14.4
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Illustrate a 2-variable Linear Program by drawing a graph with the following characteristics: - Has an objective function and at least 2 constraints. - x 1 is unrestricted, while x 2 is nonnegative. - The feasible region is not unbounded. - There are multiple optimal solutions. Your drawing must have labels and other necessary elements. Provide written explanations wherever appropriate. Do not formulate the Linear Program. There is no need to use graph paper for this drawing. Sleek Sdn. Bhd. is planning on introducing 2 new stool designs (Deni \& Arni) for their 2022 furniture catalogue. Each stool is made up of 4 legs and 1 seat. Both designs use the same seat. Deni has shorter (1.5 foot) legs, while Arni has longer ( 2.5 foot) legs. It takes 0.1 hours of labour to cut and shape a short leg, 0.15 hours to do the same for a long leg, and 0.5 hours to produce a seat. It takes an additional 0.3 hours to attach a set of legs to a seat for either design. The estimated profit is RM25 for each Deni sold and RM45 for each Arni sold. Sleek has unlimited access to material for seats, but only has 500 feet of material for the legs, and 75 labour hours available. Formulate a Linear Program for Sleek Sdn. Bhd. that optimises profit. Assume that Sleek is able to sell all stools that they make and that they must have zero leftover legs and seats.
Answer:
The Linear Program for Sleek Sdn. Bhd. that optimizes profit can be formulated as follows:
Objective Function:
Maximise 25D + 45A
Constraints: 1.5D + 2.5A ≤ 500 (Legs constraint)
0.5D + 0.5A ≤ 75 (Labour constraint)
Where, D = number of Deni stools produced
A = number of Arni stools produced
To graph the 2-variable Linear Program, we plot the legs constraint and the labour constraint on the graph and shade the feasible region (region that satisfies all the constraints).
Since x1 is unrestricted, we draw the graph with x2 on the horizontal axis and x1 on the vertical axis.
Then, we solve for the intercepts of the two constraints as follows:
1.5D + 2.5A = 500
⇒ D = (500 - 2.5A)/1.5 and 0.5D + 0.5A = 75
⇒ D = 150 - A.
Then, we can form the following table:
A D (500 - 2.5A)/1.5 150 - A0 333.33 15050 300 100100 266.67 50
Finally, we plot the points (0,150), (50,100), (100,50), and (266.67,0) on the graph and connect them to form the feasible region.
We can then plot the objective function (profit)
25D + 45A = C on the graph and find all the optimal solutions.
Since the objective function is a straight line, we can easily see that there are multiple optimal solutions on the line segment joining (50,100) and (100,50).
We can then read off the corresponding values of D and A to find the optimal solutions.
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What is Y=2x+5 y=3x-1 system by substitution
Answer:
x=6 , y=17
Step-by-step explanation
3x-1=2x+5
+1 -2x
x=6
plug in 6 for x to solve y
PLZZZZ HALP!!! The product of Matt's age and 2 is 26. Use the variable m to represent Matt's age.
Answer: try 13
Step-by-step explanation:
I did the math in my head lol
what is 2 divided by 48
We can calculate this as:
\(\frac{2}{48}=\frac{1}{24}\approx0.04167\)Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
Answer:
\(x = log_{1.061} \frac{y}{590} \)
Step-by-step explanation:
I Hope this helps
Asp help will give brainliest
Answer:
answer is 30 pls mark me branilest
28 POINTS!!!!!! Solve for x. Please Help
Answer:
The third choice, \(x\leq -8\)
Step-by-step explanation:
One way to do it is to substitute in the potential answers. I'll show you here.
Choice 1
\(2(-2)+3\leq (-2)-5\)
\(-4+3\leq -2-5\)
\(-1\leq -7\)
We can see that this is false, so the answer cannot be choice 1.
Choice 2
\(2(2)+3\leq (2)-5\)
\(4+3\leq 2- 5\)
\(7\leq -3\)
This is also false, so the answer cannot be choice 2.
Choice 3
\(2(- 8)+ 3\leq (-8)-5\)
\(-16+3\leq -8-5\)
\(-13\leq -13\)
This is true. Let's see if choice 4 works.
Choice 4
\(2(8)+3\leq (8)-5\)
\(16+3\leq 8-5\)
\(19\leq 3\)
This is not true. Therefore, 3 is correct.
In a normal distribution, 95% of the data falls within 1 standard deviation of
the mean.
true or false
Answer:
False.
Step-by-step explanation:
In a normal distribution, 95% of the data falls within 2 standard deviations of the mean.
False, In a normal distribution, 95% of the data do not falls within 1 standard deviation of the mean.
Is the statement correct ?The empirical rule or 68-95-99.7% rule can give us a good info about normal distribution.
This rule tells us that around 68% of the data will fall within one standard deviation of the mean, whereas around 95% will fall within two standard deviations of the mean and 99.7% will fall within three standard deviations of the mean.
Here given that, in a normal distribution, 95% of the data falls within 1 standard deviations of the mean, which is wrong because in the above description we states that, 95% will fall within two standard deviations of the mean.
So, the given statement is false.
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If you have3/12 of an orange how many fourths do you have?
Answer:
1/4
Step-by-step explanation:
A good way to explain this is if you have a bar split into fourths you are able to split each part into three parts making them twelfths
simplify the expression: cot x sin x - sin + cos x
To simplify the expression cot(x)sin(x) - sin(x) + cos(x), we can combine like terms and factor out sin(x) with the help of trigonometric identity.
From the given expression:
cot(x)sin(x) - sin(x) + cos(x) = sin(x)(cot(x) - 1) + cos(x)
This expression can be simplified further by using the trigonometric identity cot(x) = cos(x)/sin(x):
sin(x)(cot(x) - 1) + cos(x) = sin(x)(cos(x)/sin(x) - 1) + cos(x)
Now, we can simplify the expression by canceling out sin(x) in the numerator and denominator:
sin(x)(cos(x)/sin(x) - 1) + cos(x) = cos(x) - sin(x) + cos(x)
Finally, we can combine like terms:
cos(x) - sin(x) + cos(x) = 2cos(x) - sin(x)
Therefore, the simplified expression is 2cos(x) - sin(x).
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A cable company charges its existing customers per month for cable service. Write a linear equation representing the relationship between the number of months of service, , and the total amount paid in dollars by an existing customer,.
The formula is y = 70x, and for brand-new clients, it is y = 70x + 100.
The form of a linear equation is:
y = mx + b
where y and x are variables, m represents the line's slope, and b represents the y-intercept
Let y be the total payment and x denote the number of months of service.
a) A cable provider charges $70 monthly, thus
y = 70x
b) There is an extra one-time $100 service charge, so:
y = 70x + 100
Consequently, the equation is given by y = 70x, and for the additional clients, y = 70x + 100.
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Given: m24+ m27 = 180°
Prove: c || d
Answer:
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
GIVEN
2. m∠4 = m∠7
If lines ||, alternate interior angles are equal.
3. m∠5 = m∠8
Vertical angles are equal.
4. m∠7 = m∠8
Substitution
Step-by-step explanation:
Scalar multiplication quiz
the Matrix multiplication of the given question is \(\left[\begin{array}{cc}-9&3\\5&-8\\\end{array}\right]\)
What is matrix?
The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them. The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively. A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.
A =-1/3 \(\left[\begin{array}{cc}27&-9\\-15&24\\\end{array}\right]\)
A = \(\left[\begin{array}{cc}-9&3\\5&-8\\\end{array}\right]\)
Hence the Matrix multiplication of the given question is \(\left[\begin{array}{cc}-9&3\\5&-8\\\end{array}\right]\)
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Which equation is equal to y=x^2+24x-18
Answer:
(X+12)^2 -18-(24/2)^2
(X+12)^2 -18-144
(X+12)^2-162
Your answer is 1.
Step-by-step explanation:
Answer:um hold on
Step-by-step explanation:
1.
Violet earns $54 for mowing 3 lawns. If she charges the same amount for each
lawn, how much will she earn for mowing 5 lawns?
one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. find the lengths of the legs of the triangle.
one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,
The lengths of the legs of the triangle are 18 inches,24 inches and 30 inches.
What is triangle?Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given that,
one leg of a right triangle is 6 inches longer than the other leg.
hypotenuse is 30 inches.
Let assume, the other leg be x
It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6
Since it is a right angled triangle,
h² = p² + b²
Where, h = hypotenuse
p = perpendicular
B = Base
So, (30)² = (x+6)² + x²
or, x = -24, 18
As, the length of side cannot be negative so x becomes 18.
Thus, x + 6 = 18 + 6 = 24 inches
Hypotenuse = 30 inches
Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and 30 inches.
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9/2 ÷ 3/4
Please help me