Answer:
Step-by-step explanation:
1.) 5
2.) 32
3.) 14
4.) 16
It's the associative property. One way to remember the associative property is that the numbers don't change, but the location of the numbers change.
Please help me please
Step-by-step explanation:
m +2 = 4
m = 2
x = 1
y +1 = 2
y = 1
z = -1
suppose that we flip a fair coin until either it comes up tails twice or it is flipped it six times. what is the expected number of times we flip the coin? (enter the value of probability in decimals. round the answer to two decimal places.)
The value of the probability is 3.75.
What is a probability?It is a branch of mathematics. The possibility of the outcome of any random event is termed as probability. The range of the probability must be between o to 1. Here o indicates impossibility of an event and 1 indicates certainty. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event. It is based on the possible chances of something that happen. Probability is of 3 types. They are:
1.Theoretical probability
2.Experimental probability
3.Axiomatic probability
P(N=2)=P(TT)=14
P(N=3)=P(HTT,THT)=28
P(N=4)=P(HHTT;HTHT;THHT)=316
P(N=5)=432
P(N=6)=1−14−28−316−432=316
E(N)=2(14)+3(28)+4(316)+5(432)+6(316)=154=3.75
The value of the probability up to 2 decimal places is 3.75
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what is f(0) for the function f(x) =2x+3
Answer:
3
Step-by-step explanation:
f(x) =2x+3
Let x=0
f(0) =2*0+3
Multiply
f(0) =0+3
Add
f(0) =3
Answer:
3
step-by-step explanation
f ( x ) = 2 x + 3
f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )
multiply
f ( 0 ) = 0 + 3
Add the numbers
f ( 0 ) = 3
Determine the no-arbitrage price today of a 5 year $1,000 US
Treasury note with a coupon rate of 2% and a YTM of 4.25% (APR) (to
the penny)
A. $739.65
B. $900.53
C. $819.76
D. $89
The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.
To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.
Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,
where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.
Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.
Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.
Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.
Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.
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Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; t que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche, 1kg de jamon serrano y 3 litros de aceite de oliva
Answer:
1 litro de leche cuesta 2.5
1 kg de jamón serrano cuesta 35
1 litro de aceite de oliva cuesta 7,5
Step-by-step explanation:
Pregunta correcta completa
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.
Solución
Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.
16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240
16x + 4y + 8z = 240 (ecuación 1)
1 litro de aceite cuesta el triple de 1 litro de leche
z = 3x (ecuación 2)
Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.
y = 5x + 3z (ecuación 3)
Sustituyendo las ecuaciones 2 y 3 en la ecuación 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recordemos que z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
English Translation
A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.
Solution
Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.
16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240
16x + 4y + 8z = 240 (eqn 1)
1 liter of oil costs the triple of 1 liter of milk
z = 3x (eqn 2)
And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil
y = 5x + 3z (eqn 3)
Substituting eqn 2 and 3 into eqn 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recall that z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
1 liter of milk costs 2.5
1 kg of Serrano ham costs 35
1 liter of olive oil costs 7.5
Hope this Helps!!!
Si x² + 5x - 6 = 0 entonces los valores de x que satisfacen la ecuación son: / If x² + 5x - 6 = 0 then the values of x that satisfy the equation are:
a) 0,6
b) 6,-1
c) 3,2
d) -6,1
e) -3,-2
Find a.
Write your answer in simplest radical form.
Answer:
\(a=10\)
Step-by-step explanation:
This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.
Special Right Triangles:
In any 30-60-90 triangle, all sides are in the proportion \(x:x\sqrt{3}:2x\), where \(2x\) is the hypotenuse and \(x\) is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked \(10\sqrt{3}\) must be \(x\sqrt{3}\) and therefore we have \(a=\boxed{10}\)
Select the correct answer.
The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tis
the number of years since 1995.
C(t)= 7,000+500 In(t + 1)
The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
M(t)
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.
Hence, the correct statement is D.
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first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.
The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.
The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.
There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.
In other words, there is a direct relationship between the two variables.
Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.
This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.
If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.
However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.
A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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Check My Work A data set that consists of a sample of individuals, households, firms, cities, states, countries, or a variety of other units, taken at a given point in time, is called a(n)
The correct answer to the question "A data set that consists of a sample of individuals, households, firms, cities, states, countries, or a variety of other units, taken at a given point in time, is called a(n)?" is "Cross-sectional data set."
Explanation: A cross-sectional dataset is a statistical study that focuses on a single point in time rather than on changes over time. A cross-sectional dataset is a statistical study that examines data from a particular population or sample at a single point in time. The data collected might come from a variety of sources, including households, firms, individuals, cities, states, and countries. The cross-sectional dataset is the most common kind of data in many domains, including sociology, economics, epidemiology, and psychology, among others. It enables researchers to compare a variety of variables among different subsets of the population. Cross-sectional data analysis, on the other hand, has certain limitations. Because the study only captures information from one point in time, it cannot determine the cause-and-effect relationships between variables, making it more challenging to determine the causal relationship between the variables.
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Find the total surface area of this cone.
Leave your answer in terms of pi
SA=
The answer is 360 pie inches ^2
PLS HELP
First answer- (5,0) (10,0)
Second answer- (0,1//20) (0,20)
Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy?
Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is
.
Answer:
39.75
Step-by-step explanation:
area=length x width
area=7.5 x 5.3 = 39.75
1. After each move, record your location in the table. Then write an expression
to represent the ending position that uses the starting position, the speed,
and the time. The first row is done for you.
All the correct values are,
⇒ 0 + 2×8 = 16
⇒ 0 + 6×2 = 12
⇒ 0 + (-1.1) × 5 = - 5.5
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The table is shown in image.
Now,
The complete table is,
Starting position Direction Speed Time Ending position Expression
0 right 2 8 0 + 2×8 16
0 right 6 2 0 + 6×2 12
0 left 1.1 5 0 + (-1.1)× 5 - 5.5
Thus, The complete table is,
⇒ 0 + 2×8 = 16
⇒ 0 + 6×2 = 12
⇒ 0 + (-1.1) × 5 = - 5.5
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Plz Asp help me ...plz guys
Step-by-step explanation:
False.
intersects the y-axis => x=0
tan (0+ π/6) = tan π/6 = 0.58
instead of 1.73
which of the following graphs shows a linear function?
Answer:
The last one
Linear function basically means that theres a straight line there that does not curve or change direction
Answer:
D (the last choice)
Step-by-step explanation:
This would be a linear function because it is the only one that is a straight line.
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. How tall wa the buh after the two week
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is \(\\26 \frac{2}{5}\).
What is improper fractions?
An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.
12 times 120% + 12
12*120%+12
\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)
Follow the PEMDAS order of operations
Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)
\(=\frac{72}{5}+12$$\)
Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)
\(=\frac{132}{5}$$\)
Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)
\(=26 \frac{2}{5}$$\)
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Hey I need help with my home work the question is here thanks <3 …..
Answer:
Explanation:
From the tape diagram, we can deduce the following;
*Total number of items = 87
*Number of subdivisions = 5 with one of them being a group of 39
Let's see which of the given stories that the tape diagram can represent;
A) Total number of first graders = 87
Students picked up = 39
Number of groups the remaining students were divided into = 4
We can see from the above that the tape diagram can represent this story
B) Number of children at the show = 87
Number of adults at the show = 39
Total number of people at the show = 87 + 39 = 126
We can see from the above that the tape diagram can not represent this story
C) Number of packs of pencils Lin bought = 87
Number of packs she gave to her teacher = 39
She then shared the remaining packs between herself and 3 friends
We can see from the above that the tape diagram can represent this story
D) Total amount Diego's family spent to a fair = $87
Amount spent on dinner = $39
They spent the remaining spent on 4 tickets
We can see from the above that the tape diagram can represent this story
E) Number of packs of paper clips Adre bought = 4
Number of paper clips in each = 39
Total number of paper clips bought = 39 x 4 = 156
We can see from the above that the tape diagram can not represent this story
What is the radius of a circle if it’s center is (-3,-2) and one point on the circle is (5,-2)?
Answer:A.8
Step-by-step explanation:The distance from the centre to a point on the circle is the radius.
Calculate radius r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, - 2)
r =
=
= = 8 → A
PLEASE I NEED HELP RN
use the elimination method to solve. -7x+y=-19 -2x+3y=-19
Answer:
(x, y) = (2, -5)
Step-by-step explanation:
The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...
(-2x +3y) -3(-7x +y) = (-19) -3(-19)
-2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses
19x = 38 . . . . . . . . . simplify
x = 2 . . . . . . . divide by 19
-7(2) +y = -19 . . . . . substitute for x in the first equation
y = -5 . . . . . . add 14
The solution is (x, y) = (2, -5).
31.41 to the neartest hundredth
Answer:
31.4 is the answer
Step-by-step explanation:
Answer:
31.4
I hope this helps!
a pipe made of metal 1cm thick , has and external radius of 11cm. find the volume of metal used in making 2.4 m long pipe
Answer:
The volume of metal used in making 2.4 m long pipe is 1.58 cm³
Step-by-step explanation:
From the question,
The external radius is 11cm.
Also, the thickness of the pipe is 1cm, then we can determine the internal radius.
Internal radius = External radius - the thickness
Internal radius = 11cm - 1cm
Internal radius = 10cm
Now, to find the volume of metal used in making the long pipe,
The volume of metal used in making the long pipe is the difference between the volume of the external cylinder and the volume of the internal cylinder.
Volume of a cylinder is given by the formula below
\(V = \pi r^{2}h\)
Where \(V\) is the volume of the cylinder
\(\pi\) is constant ( Take \(\pi\) = 3.14)
\(r\) is the radius
and \(h\) is the height
Let the radius of the external cylinder be R,
then, R = 11 cm = 0.11 m
and let the radius of the internal cylinder be r
then, r = 10 cm = 0.10 m
Then,
The volume of metal used in making the long pipe = \(\pi R^{2}h - \pi r^{2}h\)
= \(\pi (R^{2} - r^{2})h\)
= \(3.14\times(0.11^{2} - 0.10^{2})\times2.4\)
= \(3.14\times(0.0121 - 0.01)\times2.4\\\)
= \(3.14\times(0.0021 )\times2.4\\\)
= 0.0158 m³ or 1.58 cm³
Hence, the volume of metal used in making 2.4 m long pipe is 1.58 cm³
Find the quotient of 1x10^-2 and 8x10^-2
Answer:
The first one is - 5 and the other is - 40
Suppose you want to make a rectangle with perimeter 400. What dimensions give you
the maximum area?
I
Answer:
100X100
Step-by-step explanation:
sorry if i get it wrong, hope this helps!
A post office has 2 clerks. Alice enters the post office while 2 other customers, Bob and Claire, are being served by the 2 clerks. She is next in line. Suppose a clerk’s serving time for any customer follows an exponential distribution with parameter λ independently. Customers will be served once any of the clerks are available.
What is the probability that Bob the last customer to leave the post office?
The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.
The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)
Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.
P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:
P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.
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dr. smith is instructing his graduate students to put together a sample for an upcoming research study of college students. the graduate students were asked to stand outside of the student union to solicit participants, finding 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors. what sort of sampling method is being used?
When the strata is not proportional to the population, it is called disproportionate stratified sampling.
The sampling method used in this case is a stratified sampling method. What is Stratified Sampling? Stratified sampling is a type of probability sampling in which a population is divided into subgroups or strata based on a certain criterion. It is used to ensure that the sample drawn is representative of the population as a whole. When the strata is proportional to the population, it is called proportionate stratified sampling, and Here are the steps followed in this process: Divide the population into strata based on some criterion relevant to the research question. Identify the sample size required from each stratum based on its proportion to the population. Draw a random sample from each stratum to arrive at the final sample.
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What percent of newborn African lions weigh less than 3 pounds? b. What percent of newborn African lions weigh more than 3.8 pounds?
The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.
However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.
For the percentage of newborn African lions weighing less than 3 pounds:
We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.
For the percentage of newborn African lions weighing more than 3.8 pounds:
Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.
Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
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PLS HELP ASAP I DONT NNOW HOW TO DO THIS
Answer:
I think you do know how because where the point is now is correct!!
the correlation between variables x and y is .50. You compute a least squares regression line wit this bivariata data. Which of the following is true?
a. the r^2 is greater than .50
b. the regression constant is positive
c. the regression coefficient is positive
d. the slope of the regression line is negative
e. all of the above
The correlation between variables x and y is 0.50 . The true option is option (c) .
that's the regression coefficient is positive for given bivariata.
Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The
sample correlation coefficient r quantifies the strength of the relationship.
Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.
Here:
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at allPearson's correlation coefficient is denoted by "r" and is
r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)
We have given that correlation between x and y is 0.50.
cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2
=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)
Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.
Symbolically it can be expressed as:
bₓᵧ= r σ ₓ /σ ᵧ
where x and y are correlated
σ ₓ --> standard deviation of X
σᵧ ---> standard deviation of y
We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.
Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.
Hence, Regression cofficient is positive.
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A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe
Answer:
3:8
Step-by-step explanation: :)
Answer:
3 eggs : 8 cups of flour
=3:8