Answer:
6 + 2 = 8 which is the width.
8 + 8 = 16
84 + 84 = 168
168 + 16 = 184 in
Answer:
228 inches
Step-by-step explanation:
2 feet 6 inches = 30 inches
2(30in+84in) =228 in
Which values in the data set are outliers? Show all work.
72, 81, 82, 83, 83, 85, 100, 54, 75, 81, 83
List the following (and show work if needed): Q1, Median, Q3, Lower Fence, Upper Fence, and Outliers
The median, Q₁, Q₃, lower fence and upper fence of the given data set are 82, 75, 83, 63 and 95.
What is Inter quartile range?
In a range of values, from lowest to highest, the IQR denotes the median 50% of values. Find the median (middle value) of the lower and higher half of the data first, then use that number to calculate the interquartile range (IQR). The first quartile (Q1) and third quartile (Q3) of these values (Q3). What separates Q3 from Q1 is known as the IQR.
Given data set : 72, 81, 82, 83, 83, 85, 100, 54, 75, 81, 83
Firstly, we will arrange the data into ascending order.
we get, 54, 72, 75, 81, 81, 82, 83, 83, 83, 85, 100.
Here, no. of terms is 11
So, Median = (n+1)/2 th = (11+1)/2 = 6th term
So, Median = 82.
Q₁ = (n+1)/4 th term = (11+1)4 th = 3rd term
= 75
Q₃ = 3(n+1)/4 th term = 9th term = 83
Inter-quartile range = Q₃ - Q₁
= 83 - 75 = 8.
Now, Lower fence = Q₁ - 1.5*IQR
= 75 - 1.5× 8
= 75 - 12 = 63
Upper fence = Q₃ + 1.5*IQR
= 83 + 1.5×8
= 83 + 12
= 95.
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Let f(x) = 4x3 – 5x2 – 8 and
g(x) = -2x3 – 6x² – 9x-5
Find (f-g)(x).
Answer:
(f - g)(x)
Step-by-step explanation:
6x3 + x2 + 9x - 3
A. Determine the distance between the ordered pairs given below. Round off your answers to the nearest hundredths.
1. (3, -2) and (7, 1)
2. (10, 13) and (2, 7)
3. (-5, -3) and (-9, -7)
4. (6, -11) and (-7, 2)
5. (-4, -5) and (8, 12)
Answer:
Step-by-step explanation:
8 baskets have some apples in them, and the same number of apples are in each basket. 6 apples are added to each basket to make a total of 144 apples. What equation can go with this problem?
Answer:
8(x + 6) = 144
Step-by-step explanation:
We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:
? = 144
Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.
Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:
x + 6 = 144
Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:
8(x + 6) = 144
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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What is the value of s? Please show work
Answer:
S = 15
That the answer :) .
Answer:
s=90°
Step-by-step explanation:
a triangle always gives 180°, so 180°-(47°+43°)= 180°-90=90°
s=90°
hope this helps
I need help please answer
Answer:
It will be in quadrant one if it flips across the x-axis becuase the x-axis will take it toward the right which is the quadrant 1
Step-by-step explanation: hope this helps
Answer:
Quadrant III
Step-by-step explanation:
When you reflect across the X-axis, you flip it over the horizontal line. The Quadrants are numbered like this : 2 1
3 4
So it will be in Quadrant III
A sample of size 50 from a normal distribution has sample mean 5 and sample variance 20. Find 96% confidence intervals for the variance and standard deviation of the distribution.
The standard deviation and variance of the distribution's 96% confidence intervals are 9.841 and 5.704, respectively.
A normal distribution sample of size 50 has an expected higher rate of 20 and a sample mean of 5.
n = 50 makes up the sample size.
Furthermore, the sample variance is s² = 20
The following is the formula for both the variance confidence interval:
σ² = \((\frac{(n-1)s^2}{X^2_{{n-1};{1-\alpha /2}}}, \frac{(n-1)s^2}{X^2_{{n-1};{\alpha/2}}})\)
Here, \({X^2_{{n-1};{1-\alpha /2}}}\) is the critical value at the status of significance \(\alpha\) & degree of freedom n - 1.
The 90% confidence interval's lower bound for variance is stated as,
\(\frac{(n-1)s^2}{ {X^2_{{49};{0.95}}}}\) = (49 × 20) ÷ (30.114)
= 32.54
The 90% confidence interval's upper bound for variance is stated as,
\(\frac{(n-1)s^2}{ {X^2_{{49};{0.95}}}}\) = (49 × 20) ÷ (10.117)
= 96.86
Consequently, the confidence level for the distribution's variance is (96.86, 32.54).
Additionally, the range of the distribution's standard deviation inside the 90% confidence interval is (√96.86, √32.54), that's the same as (9.841, 5.704).
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The fundamental question addressed by the correlational method is
a. "Does variable A cause variable B?"
b. "How is a control group influenced by the absence of an independent variable?"
c. "What impact does random assignment have on psychological behavior?"
d. "Are two or more variables related in some systematic way?"
The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.
Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.
For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.
It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
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The table shown below was posted on the wall at Andy's Hardware to show the price of varying lengths of chain-link fencing. PRICE OF FENCING Length (feet) Price 75 $168.75 125 $281.25 175 $393.75 225 $506.25 The price of the same fencing at Bargain Hardware can be determined by the equation y = 2.50x, where y is the price, in dollars, for x feet of fencing. Determine the unit price for fencing, in dollars per foot, for each store. Show your work.
The unit price for Andy's Hardware varies depending on the length of fencing purchased Unit price for Andy's Hardware: $2.25 per foot, Unit price for Bargain Hardware: $2.50 per foot.
To determine the unit price of fencing for each store, we need to divide the price of the fencing by the length of the fencing.
For Andy's Hardware, the unit price of fencing is:
Unit price = Price / Length = $168.75 / 75 ft = $2.25/ft
For Bargain Hardware, the unit price of fencing is given by the equation y = 2.50x. We can rewrite this equation as:
y/x = 2.50
This gives us the unit price of fencing in dollars per foot. Therefore, the unit price of fencing for Bargain Hardware is:
Unit price = 2.50 dollars per foot
Note that the unit price for Bargain Hardware is constant at $2.50 per foot, while the unit price for Andy's Hardware varies depending on the length of fencing purchased.
To summarize:
Unit price for Andy's Hardware: $2.25 per foot
Unit price for Bargain Hardware: $2.50 per foot
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Jaleel's house is 18 feet high. Jaleel, who is 5 feet tall, stands next to his house on a sunny day. How long is the shadow of Jaleel's house if Jaleel's shadow is 8 feet long?
Answer:
21 feet
Step-by-step explanation:
First you find the difference between Jadeel's height and Jadeel's shadow
8-5=3
So the difference is 3
Then you add it to the house shadow because it is how much extra foot high it is
So the house shadow is 21 feet
Help please, not a test btw
Answer:
x=15
Step-by-step explanation:
Since these angles are vertical angles, they are equivalent, so you can set up the equation like so:
12x+70=16x+10
Then simplify by first subtracting 10 from both sides:
12x+70(-10)=16x+10(-10)
12x+60=16x
Next subtract 12x from both sides:
12x(-12x)+60=16(-12x)
60=4x
After that divide both sides by 4:
60(/4)=4x(/4)
15=x
x=15
15 is your answer.
Hope this helps!
A pizza cut into 8 pieces cost $10.00.
What is the cost per piece?
Answer:
$1.25
Step-by-step explanation:
10/8 =1.25
Answer:
$1.25
Step-by-step explanation:
just divided 10 with 8
the height of a golf ball after it is hit can be modeled by the equation where represents the number of seconds after the ball is hit, and represents the golf ball height, in feet. a) what is the height of the golf ball at the instant it is hit? feet b) what is the height of the golf ball 2.8 seconds after it is hit? feet c) how long does it take the ball to hit the ground after it is hit? (round answer to three decimal places.) seconds submit question question 3
a. The height of the golf ball at the instant it is hit is 0 feet.
b. The height of the golf ball 2.8 seconds after it is hit is approximately 62.72 feet.
c. It takes 4 seconds for the golf ball to hit the ground after it is hit.
a) To find the height of the golf ball at the instant it is hit, we need to evaluate the function h when t = 0.
Substituting t = 0 into the given equation, we get:
h = -16(0)² + 64(0) = 0
Therefore, the height of the golf ball at the instant it is hit is 0 feet.
b) To find the height of the golf ball 2.8 seconds after it is hit, we need to evaluate the function h when t = 2.8.
Substituting t = 2.8 into the given equation, we get:
h = -16(2.8)² + 64(2.8) ≈ 62.72
Therefore, the height of the golf ball 2.8 seconds after it is hit is approximately 62.72 feet.
c) To find how long it takes the ball to hit the ground after it is hit, we need to find the value of t when the height is 0.
Setting h = 0 in the given equation, we get:
0 = -16t² + 64t
0 = t(-16t + 64)
t = 0 or t = 4
Since the golf ball was hit upwards, we are only interested in the positive value of t, which is t = 4.
Therefore, it takes 4 seconds for the golf ball to hit the ground after it is hit.
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The question is -
The height in feet of a golf ball hit into the air is given by h = − 16t² + 64t, where t is the number of seconds elapsed since the ball was hit, and represents the golf ball height, in feet.
a) what is the height of the golf ball at the instant it is hit?
b) what is the height of the golf ball 2.8 seconds after it is hit?
c) how long does it take the ball to hit the ground after it is hit?
A parameter is a descriptive measure of some characteristics of the population.
True
False
The statement is false. A parameter is a descriptive measure of a whole population.
What is the different of parameter and statistic?A parameter tells us about a whole population. It means that a parameter should be found to understand all the characteristics of a population. A population itself is the entire group that we want to study.
For example: A population mean. We take a class as the population. We asked them about age and found that the average age is 20. That is a parameter.
A statistic otherwise tells us about some parts of the population. It describes a sample. A sample itself is a small group taken from the population.
For example: A sample mean. We take some people of the class to interview their age. We found the average age is 21. This is a statistic.
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We have the following market model:
Od = 25 - 3P + 0.2P2
Os = -5 + 3P - 0.01P2 Find the two elasticities (the price elasticity of demand [PED] and the price elasticity of supply [PES]) at the
equilibrium price.
At the equilibrium price, the price elasticity of demand (PED) is approximately 13.845 and the price elasticity of supply (PES) is approximately 0.834.
To find the elasticities at the equilibrium price, we first need to determine the equilibrium price itself. This occurs when the quantity demanded (Od) equals the quantity supplied (Os).
Setting Od equal to Os, we have:
25 - 3P + 0.2P^2 = -5 + 3P - 0.01P^2
Simplifying the equation, we get:
0.21P^2 - 6P + 30 = 0
Solving this quadratic equation, we find that the equilibrium price is P = 28.57.
Now, let's calculate the elasticities at the equilibrium price.
Price Elasticity of Demand (PED):
PED = (% change in quantity demanded) / (% change in price)
At the equilibrium price, PED can be calculated as the derivative of Od with respect to P, multiplied by P divided by Od.
PED = (dOd/dP) * (P/Od)
Taking the derivative of Od with respect to P, we have:
dOd/dP = -3 + 0.4P
Substituting the equilibrium price (P = 28.57) into the equation, we get:
dOd/dP = -3 + 0.4(28.57) = 6.228
Now, let's calculate Od at the equilibrium price:
Od = 25 - 3(28.57) + 0.2(28.57^2) = 12.857
Substituting the values into the PED formula, we get:
PED = (6.228) * (28.57/12.857) = 13.845
Price Elasticity of Supply (PES):
PES = (% change in quantity supplied) / (% change in price)
At the equilibrium price, PES can be calculated as the derivative of Os with respect to P, multiplied by P divided by Os.
PES = (dOs/dP) * (P/Os)
Taking the derivative of Os with respect to P, we have:
dOs/dP = 3 - 0.02P
Substituting the equilibrium price (P = 28.57) into the equation, we get:
dOs/dP = 3 - 0.02(28.57) = 2.286
Now, let's calculate Os at the equilibrium price:
Os = -5 + 3(28.57) - 0.01(28.57^2) = 78.57
Substituting the values into the PES formula, we get:
PES = (2.286) * (28.57/78.57) = 0.834
Therefore, at the equilibrium price, the price elasticity of demand (PED) is approximately 13.845 and the price elasticity of supply (PES) is approximately 0.834.
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Please help asap, this is timed!!!!!!
I'll mark brainliest!
The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume?
A.500 cm3
B.150 cm 3
C.200 cm3
D.250 cm 3
Please help
Answer:
D.
Step-by-step explanation:
10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?
Answer:
42 cups of flour
Step-by-step explanation:
12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.
All we need to do for this is do 10.5 × 4 = x and solve for x.
10.5 × 4 = 42 cups of flour
The relation ((6, 8), (7, 10), (7, 12), (8, 16),
(10, 16)} is not a function. Which x-value has
more than one y-value associated with it?
Record your answer on the grid provided.
Answer:
x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Step-by-step explanation:
Given the relation
{(6, 8), (7, 10), (7, 12), (8, 16), (10, 16)}We know that a relation is a function that has only one output for any unique input.
As the inputs or x-values of the relations are:
at x = 6, y = 8
at x = 7, y = 10
at x = 7, y = 12
at x = 8, y = 16
at x = 10, y = 16
If we closely observe, we can check that there is a repetition of x values.
i.e. x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Match each angle pair with their relationship
Answer:
oh I thought you were talk about love well dang :(
Step-by-step explanation:
Help please? I just need an answer. A clear explanation earns brainliest. this is a repost since i posted the wrong photo last time.
Answer: x^2+2x-7/x-1
a vehicle factory manufactures cars. the unit cost (the cost in dollars to make each car) depends on the number of cars made. if cars are made, then the unit cost is given by the function . how many cars must be made to minimize the unit cost? c(x)
The number of cars that must be made to minimize the unit cost is 300 cars which is determined by differentiation.
Differentiation is a mathematical process that determines the instantaneous rate of change of a function based on one of its variables. The most common example is velocity, which is the rate of change of displacement with respect to time. Anti-differentiation is the inverse of finding a derivative.
Differentiation is used to calculate the rate of change of quantities in real time.
Since, we have been given the cost function to be function \((cx)= 1.1^{2} - 660x+107,357\) then we have to find the first differentiation in order to get the value and this will be:-
\((cx)= 1.1^{2} -660x+107,357\\2.2x=660\\x=\frac{660}{2.2} \\x=300\)
Therefore, the number of cars that must be made to minimize the unit cost is 300 cars.
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the null hypothesis is always a statement about what?
The null hypothesis is always a statement about the population parameter or the absence of a relationship or difference between variables in a statistical hypothesis test. It is typically denoted as "H0" and assumes no effect or no difference exists.
The null hypothesis can take different forms depending on the specific research question. For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the means are equal. In a correlation study, the null hypothesis could assert that there is no correlation between variables.
The null hypothesis acts as a baseline for comparison in hypothesis testing. Researchers aim to gather evidence against the null hypothesis to support an alternative hypothesis. Statistical analysis helps determine the likelihood of observing the obtained data if the null hypothesis were true.
By specifying a null hypothesis, researchers can objectively evaluate the evidence and draw conclusions about the relationship or difference they are investigating.
In summary, the null hypothesis is a statement about the population parameter or lack of relationship/difference, which serves as a reference point for hypothesis testing. It helps researchers assess evidence and draw conclusions based on statistical analysis.
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Find the volume of the figure.
A pentagonal prism is shown. The base area is forty-three square millimeters and the height of the prism is fifteen millimeters.
Enter the correct answer in the box.
The volume of the pentagonal prism is 645 cubic millimeters.
We have,
The formula for the volume of a pentagonal prism is:
V = A x h
where A is the area of the pentagonal base and h is the height of the prism.
In this case, we are given the area of the base as 43 square millimeters and the height as 15 millimeters.
Therefore, we can calculate the volume as:
V = 43 x 15
V = 645 cubic millimeters
Therefore,
The volume of the pentagonal prism is 645 cubic millimeters.
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In which number does the digit 3 have a value that is ten times greater than the value of the digit 3 in the number 145,317
Answer:
Step-by-step explanation:
The value of the digit "3" in "156.32" is 3/10 (3 tenths). 10 times that value would be 3 (3/10 * 10 = 3). So now we need a number that has the digit "3" in it and the value of that digit is "3".
How about 143.26? The digit "3" is in the ones place and so its value is 3*1 or 3. The rest of the number is just made up, nothing special about any of the other numbers.
The value of digit 3 in 156.32 is 3/10 (3 tenths).
10 times that value would be 3 (3/10 * 10 = 3).
What is the value of digits?The face value of a digit is the magnitude that it possesses naturally. It is independent of the digit's position in the number.
The place value of a digit depends on its position in the number.
So now we need a number that has the digit 3 in it and the value of that digit is 3.
How about 143.26. The digit 3 is in the one place and so its value is 3*1 or 3.
The rest of the number is just made up, nothing special about any of the other numbers.
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Determine if the following statement is true or false.
When two events are disjoint, they are also independent.
The statement, When two events are disjoint, they are also independent is false.
In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)
Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:
P(B/A) = P(B) P(A and B)
=> P(B ∩ A) = P(B) × P(A) --(2)
(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.
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plz help yall ;-; I need this by tonight
For the functions f(x) = 3x - 4 and g(x) = x - 41, find the value of ƒ(4) - 2g(3)
⇒ To find f(4) it means that in the place of x in the function f plug in 4 and simplify to find f(4)
\(f(4)=3(4)-4\\f(4)=12-4\\f(4)=8\)
⇒Now let us find 2g(3),meaning in the place of x in the function g plug in 3 and simplify to find g(3) after that then multiply the results by 2 as indicated.
\(g(3)=(3)-41\\g(3)=-38\)
Meaning 2(g(3))= 2(-38)
⇒2(g(3))=-76
⇒N0ow let us find the value of f(4) - 2g(3)
⇒\(f(4) - 2g(3)=8-(-76)\\ f(4) - 2g(3)=8+76\\ f(4) - 2g(3)=84\)
⇒The answer is 84
Determine the intervals for which Theorem 1 on page 319 guarantees the existence of a solution in that interval. -- 5. 6. (a) y() – (In x)y" + xy' + 2y = cos3x (b) (x - 1)y" + (sinx)y" + Vx+4 y' + e'y = x² + 3 2. Determine whether the given functions are linearly depen- dent or linearly independent on the interval (0,-). (a) {e2, x?e2, e-*} (b) {e sin 2x, xe sin 2x, et, xet} (©) {2e21 – et, ezt + 1, e24 – 3, et + 1} 3. Show that the set of functions sinx, x sinx, x? sinx, x sinx} is linearly independent on (-0,0). 4. Find a general solution for the given differential equation. (a) y(4) + 2y" – 4y" – 2y' + 3y = 0 (b) y'"' + 3y" - 5y' + y = 0 7.
The intervals for which Theorem 1 guarantees the existence of a solution in the given differential equations are discussed.
Theorem 1, mentioned in the problem, provides conditions for the existence of a solution to a given differential equation. The intervals for which the theorem guarantees the existence of a solution depend on the specific equation and its properties.
For equation (a), the theorem guarantees the existence of a solution for all x > 0. This means that any positive value of x will have a corresponding solution satisfying the given equation.
For equation (b), the theorem guarantees the existence of a solution for all x in the interval (-∞, ∞). This indicates that the solution exists for any real value of x.
The intervals of existence provided by Theorem 1 ensure that there is at least one solution to the given differential equations within those intervals. However, the theorem does not provide information about the uniqueness or the specific form of the solution. Further analysis and techniques may be required to determine the exact solution or additional properties of the solutions.
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