In this case, we'll have to carry out several steps to find the solution.
Step 01:
point (-3, 15)
quadrant of the coordinate plane = ?
Step 02:
Graph
point (-3, 15) x = - 3 y = 15
The answer is:
Quadrant II
What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer
Answer:
V = 0.375 units³
Step-by-step explanation:
The volume of a rectangular prism is V = lwh.
Where l is the length, w is the width, and h is the height.
Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.
V = lwh
V = (1)(¾)(½) units
V = (⅜) units
V = 0.375 units
Answer:
7/8
Step-by-step explanation:
Write 0.000000207 in scientific notation:
Answer:207x10^-7
Step-by-step explanation:
Answer:
2.07*10^-7
Step-by-step explanation:
Solve for x:
2.50+1.50x=3.25+1.25x
Answer:
x = 3
Step-by-step explanation:
Multiply both sides by 100
2.5 · 100 + 1.5x · 100 = 3.25 · 100 + 1.25x · 100
Refine:
250 + 150x - 250 = 325 + 125x - 250
Simplify:
150x = 125x + 75
Subtract 125x from both sides:
150x - 125x = 125x + 75 - 125x
simplify:
25x = 75
Now all you have to do is Divide both sides by 25:
\(\frac{25x}{25}\) = \(\frac{75}{25}\)
Now Finally the last part Now just Simplify so therefore the answer is
x = 3
How do you calculate decay from half-life?
Using the formula T1/2 = 0.693/λ, we may determine decay from half-life.
What is half-life?The half-life is the amount of time needed for half of the initial population of radioactive atoms to decay.
T1/2 = 0.693/λ describes the relationship between the half-life, T1/2, and the decay constant.
A percentage is used to represent the degradation rate.
Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.
The decay factor b = 1-r can therefore be calculated.
For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.
Nearly all decay processes that are exponential, or nearly exponential, are referred to by the phrase "half-life".
Therefore, using the formula T1/2 = 0.693/λ, we may determine decay from half-life.
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Four friends each flipped a coin a different number of times.
* Alice got heads 75% of the time.
* Mary got heads 8 out of 10 times.
* Sarah got heads 17 out of 20 times.
*Ellen got heads 3/5 of the time.
Who had the greatest percentage of heads?
Question 4 options:
Ellen
Sarah
Mary
Alice
Answer:
Sarah has greatest percentage of heads
HOPE IT HELPEDAnswer:
Sarah.
Alice had 75 percent
Mary had 80 percent
Ellen had 60 percent
while Sarah got 85 percent
Step-by-step explanation:
Mary 8 out of 10 is technically 8/10 and fractions are division problems so 8/10 is 0.8 times 10 is 80 same goes for the rest of them, divide then multiply by 10
Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places
The difference in the proportion of males and the proportion of females that smoke is 0.08
Missing informationIn a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
How to determine the proportion difference?The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
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If a1 = 9 and and an-1 - 5 then find the value of a6.
Answer:
a1 = 6 and an = an-1 - 5
a2 = a2-1 - 5 = a1 - 5 = 1
a3 = a3-1 - 5 = a2 - 5 = -4, etc
Step-by-step explanation:
Answer: -16
Step-by-step explanation:
Write a 5 digit number so that when you round to the nearest hundredth, your answer is 14.6. The number cannot include any zeros.
Answer:
14.598
Step-by-step explanation:
When you round that number to the nearest hundredth, you'll get 14.6. Hope this helps.
Helppp ...............
Answer:
i think its B
Step-by-step explanation:
im not sure but im pretty sure if its wrong im sorry but im pretty sure its correct
What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
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The construction workers are constructing a line of bricks. Each brick is 8 inches long. If the line of bricks must be 24 feet long, how many bricks will the construction workers need to use?
Answer:
thhe answer would only be 3 feet
Step-by-step explanation:
Fit for Family offers a membership fee of
$450 for the year or the option to pay $41
per
month. How much do you save each month by
choosing the annual membership fee?
We save $3.5 each month and in total $42 by giving the annual membership fees.
What are mathematics operations?An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value. The operation's arity is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations. A zero-arity operation, also known as a nullary operation, is a constant. The mixed product is an example of an arity 3 operation, also known as a ternary operation.
So,
The yearly pay is $450.The monthly payment is $41.Then, Monthly pay for a whole year:
$41 × 12 = $492Now,
$492 - $450 = $42Saving each month by giving the annual fees:
$42 ÷ 12 = $3.5
Therefore, we save $3.5 each month by giving the annual fees.
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U(C,l)=20C 2/3
+4l 2/3
where C>0 denotes household consumption of papayas and 0≤l≤h denotes household leisure. A) (15 points) Solve for the household's papaya consumption demand function C D
(ω,Π,h), its leisure demand function, l D
(ω,Π,h), and its labour supply function, N S
(ω,Π,h) B) (10 points) Determine whether each of these functions are decreasing in, increasing in, or independent of each of the following parameters and provide economic intuition for your results: C) (10 points) Determine whether the labour supply function is decreasing in, increasing in, or independent of ω (you can do this by computing the partial derivative of N S
(ω,Π) with respect to ω and determining if it is negative, positice, or zero OR by choosing some arbitrary values for h and Π and calculating N S
for various values of ω to determine how N S
changes when ω changes). Explain what your result must imply about the relationship between the substitution effect and the income effect of a change in the real wage on the household's optimal leisure choice in this economy. D) (10 points) Suppose the coefficient on leisure in the utility function increases from 4 to 5. Determine whether this decreases, increases, or has no effect on the household's labour supply and papaya consumption demand and provide economic intuition for your answer. l+N=h where h= Total time Λ= lisure, N= hours worked Lets form Budget constraint ⇒
⇒
c=π+ωN
c=π+ω(h−l)
c+ωl=π+ωh
Now we have to Maximize: 20c 2/3
+4l 2/3
Subject to: c+ωl=π+ωh Ligrange is given by: α=20c 2/3
+4l 2/3
+α(π+ωh−c−ωl) First Oeder Condition: ∂c
∂L
=0⇒20( 3
2
) c 1/3
1
=α→(2)
∂l
∂α
=0⇒4( 3
2
) l 1/3
1
=αω⇒(3)
Dividing (2) from (3) we get: c 1/3
5l 1/3
= ω
1
⇒c=(5w) 3
l=125w 3
l Rultriy this in (1) we get: 125ω 3
l+ωl=π+ωh ⇒l= 125ω 3
+ω
π+ωh
→h leesure demand function. ⇒C=125ω 3
l ⇒C=125ω 3
[ 125ω 3
+ω
π+ωh
]→ Bread Cousumption ⇒N=h−l= 125ω 3
+ω
π+ωh
] function. ⇒N S
= 125ω 3
+ω
125ω 3
h−π
→ lakar Supply function.
The household's papaya consumption demand function is C_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(2/3). The leisure demand function is l_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(1/3), and the labor supply function is N_S(ω, Π, h) = h - l_D(ω, Π, h).
To solve for the household's papaya consumption demand function, we substitute the given utility function U(C, l) = 20C^(2/3) + 4l^(2/3) into the budget constraint c + ωl = Π + ωh.
Using the Lagrange multiplier method, we form the Lagrangian function L = 20C^(2/3) + 4l^(2/3) + α(c + ωl - Π - ωh).
Taking first-order conditions with respect to C and l, we obtain two equations: 20(2/3)C^(-1/3) = α and 4(2/3)l^(-1/3) = αω.
Dividing the two equations, we find C^(1/3)/l^(1/3) = ω^(1/5), which implies C = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(2/3).
Substituting this result into the budget constraint, we solve for l and find l = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(1/3).
Finally, the labor supply function is obtained as N_S = h - l_D.
In summary, the household's papaya consumption demand function is C_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(2/3), the leisure demand function is l_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(1/3), and the labor supply function is N_S(ω, Π, h) = h - l_D(ω, Π, h).
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please help
marking brainlist
Answer:
12 mi.
Step-by-step explanation:
a^2+b^2=c^2
c is the hypotenuse (the line across the right angle) and a and b are the other sides.
a=5
c=13
Plug into the equation
5^2+b^2=13^2
b^2=169-25
b^2=144
b=12
Answer:
12 miles
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let x be the distance from the Park to the Library, then
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = \(\sqrt{144}\) = 12
A line with a slope of –1/4 passes through the point (–6,5). What is its equation in point-slope form?
The point- slope form of the line is y-5 = -0.25(x+6).
What is line?
A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.
A line with a slope of –1/4 passes through the point (–6,5)
Any line in point - slope form can be written as
y - y₁= m(x -x₁) -------(1)
where,
y= y coordinate of second point
y₁ = y coordinate of first point
m= slope of the line
x= x coordinate of second point
x₁ = x coordinate of first point
In the given problem (x₁ , y₁) = (-6,5) and m= -1/4
Putting all these values in equation (1) we get,
y-5= (-1/4) (x- (-6))
⇒ y-5 = -0.25(x+6)
Hence, the point- slope form of the line is y-5 = -0.25(x+6).
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Using Truth Table prove each of the following: A + A’ = 1 (A + B)’ = A’B’ (AB)’ = A’ + B’ XX’ = 0 X + 1 = 1
It is evident from the above truth table that the statement X + 1 = 1 is true since the sum of X and 1 is always equal to 1.
A truth table is a table used in mathematical logic to represent logical expressions. It depicts the relationship between the input values and the resulting output values of each function. Here is the truth table proof for each of the following expressions. A + A’ = 1Truth Table for A + A’A A’ A + A’ 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0It is evident from the above truth table that the statement A + A’ = 1 is true since the sum of A and A’ results in 1. (A + B)’ = A’B’ Truth Table for (A + B)’ A B A+B (A + B)’ 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1. It is evident from the above truth table that the statement (A + B)’ = A’B’ is true since the complement of A + B is equal to the product of the complements of A and B.
(AB)’ = A’ + B’ Truth Table for (AB)’ A B AB (AB)’ 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0It is evident from the above truth table that the statement (AB)’ = A’ + B’ is true since the complement of AB is equal to the sum of the complements of A and B. XX’ = 0. Truth Table for XX’X X’ XX’ 0 1 0 1 0 0. It is evident from the above truth table that the statement XX’ = 0 is true since the product of X and X’ is equal to 0. X + 1 = 1. Truth Table for X + 1 X X + 1 0 1 1 1. It is evident from the above truth table that the statement X + 1 = 1 is true since the sum of X and 1 is always equal to 1.
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Equation 1: 2x - 3y = 6
2
y x6
What is the best description for the lines?
A)
parallel
B)
perpendicular
C)
the same line
D)
intersecting but not perpendicular
Answer:
I think the answer is intersecting but not perpendicular
Solve for t
-t=9(t-10)
t=
Final Answer: \(t = 9\)
Steps/Reasons/Explanation:
Question: Solve for \(t\). \(-t=9(t-10)\).
Step 1: Expand.
\(-t = 9t - 90\)
Step 2: Subtract \(9t\) from both sides.
\(-t - 9t = -90\)
Step 3: Simplify \(-t - 9t\) to \(-10t\).
\(-10t = -90\)
Step 4: Divide both sides by \(-10\).
\(t = \frac{-90}{-10}\)
Step 5: Two negatives make a positive.
\(t = \frac{90}{10}\)
Step 6: Simplify \(\frac{90}{10}\) to \(9\).
\(t = 9\)
~I hope I helped you :)~
if numerous samples of n = 15 are taken from a uniform distribution and a relative frequency distribution of the means is drawn, what would be the shape of the frequency distribution?
The shape of the frequency distribution of the means would tend to approximate a normal distribution,
If numerous samples of size n = 15 are taken from a uniform distribution, the shape of the frequency distribution of the means would tend to approximate a normal distribution, regardless of the shape of the original distribution.
This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution, regardless of the shape of the population distribution, as long as certain conditions are met (such as random sampling and a sufficiently large sample size).
The Central Limit Theorem is a fundamental result in statistics and is widely applicable. It is one of the reasons why the normal distribution is commonly encountered in various fields, even when the underlying data may not follow a normal distribution.
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a researcher is interested comparing quality of sleep between people who work overnight shifts and people who work day shifts. a sample of 50 day shift workers and 50 night shift workers are asked to complete a quality of sleep measure, which the researcher will treat as an interval scale measure. the researcher will compare the mean levels of each group to see if there is a statistically significant difference between the groups. which analysis would be acceptable to use?
The correct analysis would be 3 option
Describe statistics using an example.
A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.
The right response is selection 3. To compare the means of two independent groups, use the independent samples t test. to determine whether there is a substantial difference between the means of the two groups. In this instance, we are comparing two different groups of people: those who work the night shift and those who work the day shift. By definition, these two groups of persons would differ, therefore neither a matched sample test nor a one-sample test would be appropriate. Furthermore, we are not interested in person's r, which is a measure of linear correlation between two variables.
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2.332 divided by 2.2
Answer:
1.06
Step-by-step explanation:
2.332 divided by 2.2
= 1.06
Hope this helped!
Answer:
1.06
Step-by-step explanation:
Are these expressions equivalent? Explain why or why not. 42 + 35 706 + 5)
Answer:
Yes, they are equivalent.
Step-by-step explanation:
Both of the expressions equal to 77. 42+35 is easy, just add to get 77. To solve 7(6+5) remember PEMDAS which tells you to do parentheses first. So add 6+5, which is 11, then multiply by 7. 11*7 is 77, therefore the expressions are equivalent.
Given the distance between (x,1) and (-2,5) is 2 root 7, find the the value of x. Leave your answer in simplified exact form
Answer:
Step-by-step explanation:
Distance = the square root of (x2-x1)2 + (y2-y1)2Added:Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:square root of x2-x1 squared +y2-y1 squared
The value of x is (√12) - 2, when the distance between (x,1) and (-2,5) is 2√7 units.
What is the length of any line on the graph?The distance or length of any line on the graph,
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)
where,
d = distance/length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
Given that the distance between (x,1) and (-2,5) is 2√7 units. Therefore we can write,
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)
\(2\sqrt7= \sqrt{(x + 2)^2 + (1-5)^2}\)
Squaring both the sides of the equation,
\((2\sqrt7)^2= (\sqrt{(x + 2)^2 + (1-5)^2})^2\)
4 × 7= (x + 2)² + (-4)²
28 = (x+2)² + 16
28 - 16 = (x+2)²
12 = (x+2)²
x+2 = √12
x = (√12) - 2
Hence, the value of x is (√12) - 2.
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Which of the following is a measure of the reliability of a statistical inference? Answer A descriptive statistic. A significance level. A sample statistic. A population parameter.
The measure of reliability of a statistical inference is the significance level. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It determines the threshold for accepting or rejecting a hypothesis.
A lower significance level indicates a higher level of confidence in the results. A descriptive statistic provides information about the data, but it does not directly measure the reliability of a statistical inference. It simply summarizes and describes the characteristics of the data.
A sample statistic is a numerical value calculated from a sample, such as the mean or standard deviation. While it can be used to make inferences about the population, it does not measure the reliability of those inferences.
A population parameter is a numerical value that describes a population, such as the population mean or proportion.
While it provides information about the population, it does not measure the reliability of inferences made from a sample. In conclusion, the significance level is the measure of reliability in a statistical inference as it determines the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.
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F10
Find the gradient of the line segment between the points (-2,-2) and (0,-6).
2
Answer:
-2
Step-by-step explanation:
M = (y - yo/x - xo)
(-6 + 2) / (0 + 2)
-4 / -2
= - 2
The Smith's built a house in 2013 for $150,000. If its value appreciates at an average rate of 6% per year, what will the value be in 2020?
Group of answer choices
Step-by-step explanation:
Principal Amount = $150,000
Rate of appreciation per year = 6%
Appreciated amount = $150,000×6/100
= 6×1500 = $9,000 per year
in 7 years(2020) , the appreciated amount becomes = $9000×7yrs
= $63,000
Thus the value in 2020 = $150,000+$63,000
= $213,000
Hi, can someone help me with this, please? Thank you!
Hi, this question is actually really simple.
Let's consider that one house = 7 matchsticks. This is because, if we count the first two squares given in your question, it will count to 7.
Now we understood that one house has 7 matchsticks. So, if we want two houses, then consider two more square of matchsticks. So, 12. Likewise, for 3 houses , add 2 more squares, thus resulting in 17. For four houses, again add 2 more squares, giving the result as 22 matchsticks.
Note- While adding two more squares for each, do not count the left side 2 matchsticks, as they are combined with the previous matchsticks. I meant that , if you want to know 2nd house matchsticks, count 7+7=14, then subtract 14-2, so 12
Conclusion-Now, the brief answer is:-
1 house = 7 matchsticks
2 houses = 12 matchsticks
3 houses = 17 matchsticks
4 houses = 22 matchsticks
5 houses = 27 matchsticks
Hope it helps you...
(Answered by Benjemin)
Answer:
2=14
3=21
4=28
5=35
Step-by-step explanation:
If 1 house =7 matchsticks
Then 2 houses = x
x=2×7=14 matchsticks
If 2 houses=14 matchsticks
3 houses=x
2x=14×3
Dividing both sides by 2
x=7×3=21
4=28
5=35
Hope it helps
worth 50 points! i need help pls
Answer:
b
Step-by-step explanation:
just did the test
If P(A|B) = .4 and P(B) = .6, then P(A∩B) = .667.
O True
O False
Given P(A/B) = .4, P(B) = .6 then P(A∩B) = .667 is False.
The formula for conditional probability is:
P(A/B) = P(A∩B) / P(B)
where,
P(A∩B) = probability of both A and B events occurring at the same time.
We have to find P(A∩B) so,
Substitute the values in the above formula
0.4 = P(A∩B) / 0.6
By moving 0.6 to the left side we get
P(A∩B) = 0.4 × 0.6 = 0.24
Thus, P(A∩B) ≠ 0.667
Hence P(A/B) = .4, P(B) = .6 then P(A∩B) = .667 is False.
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ot
2. Which of the following is a true statement?
A. All real numbers are rational numbers.
B. All whole numbers are natural numbers.
C. All integers are whole numbers.
D. All natural numbers are integers.