Answer:
See below ~
Step-by-step explanation:
We need to prove they are equal.
Equate the values to each other.
2x² - 6x + 7 = x² - 2x + 3x² - 4x + 4 = 0(x - 2)² = 0x = 2Now input the x-value in the 1st equation.
y = 2(2)² - 6(2) + 7y = 8 - 12 + 7y = -4 + 7y = 3Now input the same in the 2nd equation.
y = (2)² - 2(2) + 3y = 4 - 4 + 3y = 3Since the same x-value, on inputting in both equations, give the same y-value, it is proved they touch each other.
Point of Contact
(x, y)(2, 3)Find the slope and y−intercept. y − 8 = 2x + 6
a research design in which a group of people are assessed on a psychological variable at one point in time are called?
A research design in which a group of people are assessed on a psychological variable at one point in time are called A cross-sectional study
Research Study Designs:There are many types of research designs used frequently within the academic community. Some research designs can be classified as experimental, which indicates that the design will feature a control group. In this context, researchers will use the control group as a baseline comparison for other groups receiving experimental treatments in the study. Other types of studies are observational in nature. They do not feature a control group but rather seek to gather information from a population that already exists. Study designs can also take place over varying periods of time, at times including the same participants and at other times different participants. There are many possibilities!
A cross-sectional study looks at data at a single point in time. The participants in this type of study are selected based on particular variables of interest. Cross-sectional studies are often used in developmental psychology, but this method is also used in many other areas, including social science and education.
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according to a 2009 reader's digest article, people throw away approximately of what they buy at the grocery store. assume this is the true proportion, and you plan to randomly survey 100 grocery shoppers to investigate their behavior. what is the probability that the sample proportion exceeds ? round your answer to three decimal places.
Answer: The problem states that the proportion of people who throw away a portion of what they buy at the grocery store is p = 0.4. We want to find the probability that the sample proportion exceeds a certain value, which we will denote as p-hat.
The sample size is n = 100, which is large enough to use the normal approximation to the binomial distribution.
The formula for the standard error of the sample proportion is:
SE = sqrt[p * (1 - p) / n]
Substituting the values given in the problem, we get:
SE = sqrt[0.4 * 0.6 / 100] = 0.049
To find the z-score corresponding to a sample proportion of , we use the formula:
z = (p-hat - p) / SE
Substituting the values given in the problem, we get:
z = ( - 0.4) / 0.049 = -2.04
Using a standard normal table, we find that the probability of obtaining a z-score of -2.04 or lower is 0.0207. Therefore, the probability that the sample proportion exceeds is approximately 0.0207, rounded to three decimal places.
Step-by-step explanation:
(-9.088)(12.87) multiplyed
PLeassseee heelllppp
Answer:
-116.96256
Step-by-step explanation:
(-9.088) x (12.87)
(use the rules for multiplication)
-(9.088 x 12.87)
(multiply)
-116.96256
(your answer)
whats the meaning of parallel midpoint crossing triangle converse theorem
The Parallel Midpoint Crossing Triangle Converse Theorem refers to a geometrical concept that combines the ideas of parallel lines, midpoints, and triangle converses.
In geometry, parallel lines are lines that never intersect and remain an equal distance apart. Midpoints, on the other hand, are points that divide a line segment into two equal parts. A triangle converse involves reversing the statements of a given theorem to create a new, related theorem.
The Parallel Midpoint Crossing Triangle Converse Theorem is a derivative of the Midpoint Theorem, which states that if a line segment connects the midpoints of two sides of a triangle, the line segment will be parallel to the third side and half its length. The converse of this theorem can be stated as follows: if a line segment is drawn parallel to one side of a triangle and its length is half the length of the parallel side, then the line segment connects the midpoints of the other two sides of the triangle.
To summarize, the Parallel Midpoint Crossing Triangle Converse Theorem deals with a specific scenario in geometry where a line segment, parallel to one side of a triangle and half its length, connects the midpoints of the other two sides. This theorem and its converse play a crucial role in understanding geometric properties and relationships within triangles.
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g of the following is the shortest length? question 5 options: 400 pm 4.0 x 10-10 cm 4.0 nm 4.0 x 10-4 m
The shortest length possible in the given question is 4.0×\(10^{-10}\) cm .
What is Length?Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.
Most people interpret length to mean an object's longest dimension. Nevertheless, depending on the object's position, this is not always the case.
There are several terms for the length of a fixed object, including height, which is also known as vertical length or vertical extent, and width, breadth, or depth. When a base exists from which vertical measurements can be taken, height is used.
Nanometer(nm)- In the International System of Units (SI), a nanometer (American spelling) is a unit of length that is equal to 1000 picometres and one billionth (short scale) of a meter (0.000000001 m).
now , for find the shortest length we can covert all the given units into centimeter,
1 pm = \((10)^{-10}\) cm
1 nm = \((10)^{-7}\) cm
1 m = 100 cm
we have , 400 pm = 4× \((10)^{-8}\) cm
4.0 nm = 4 × \((10)^{-7}\) cm
4.0 x \((10)^{-4}\)m = 4 × \((10)^{-2}\) cm
and 4.0 x \((10)^{-10}\) cm
hence , clearly it is shown that shortest length is 4.0 x \((10)^{-10}\) cm .
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The diagram shows several points and lines.
4 intersecting lines are shown. A horizontal line contains points K, N, R. A vertical line contains points M, N, Q. Another line intersects the lines at points K and M. Another line has points J, K, and Q. Points L and P are not on the lines.
Which statements are true based on the diagram? Select two options.
Points K, M, and N are collinear.
Points J, K, and Q are collinear.
Point R is the intersection of line KN and line MQ.
Lines JQ, KM, and MQ all intersect at point K.
There is only one line that can be drawn through points L and P.
Answer:
B and E 2020
Step-by-step explanation:
Answer:
Points J, K, and Q are collinear. There is only one line that can be drawn through points L and P.
Step-by-step explanation:
i took the class
Solve the following...
4x+10=-26
Answer:
x = -9
Step-by-step explanation:
the goal is to get x by itself, so subtract 10 from both sides: 4x=-36
divide both sides by 4: x = -9
|-----4x+10=-26 |
|ANSWER= x=-9-------|
happy fall!
explanation ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When we have questions like this, and the x is just THROWN in there, we have to "combine our like terms."
STEP ONE ✨: "How do we do that..if one is on the other side?"
We have to make it disappear. +10-10 equals zero, right? right! So do that!
4x+10=-26
-10
But what we do to one side, we do to the other! Subtract 10 from the numbers on the equal side.
4x+10=-26
-10 -10
-26-10
4x=-36
STEP TWO : What do we do when a number has an X beside it?
Since this number is being multiplied to the x, we have to DIVIDE the 4x by 4, so we just get the x alone. It always works like this. Don't doubt yourself!!
4x=-36
/4 /4
-36/4=-9
x=-9!
----------------
i hope this helped! || much love! <33
Which of the following is not a factor in capacity planning?
a) approach used to measure capacity
b) economies of scale
c) prepare to deal with capacity in "chunks"
d) proximity to suppliers
e) identify the best operating level
The option that is not a factor of capacity planning is the option d
d) Proximity to suppliers
What is capacity planning?The process of ascertaining the production capacity an organization needs in order to meet changing demand for the products and services of the organization is known as capacity planning.
The factors considered in capacity planning are factors which include the capacity measurement approach, the economies of scale, preparedness to deal with the capacity in chunks, and activities towards identifying the best operating level.
Therefore, from the listed options, the option that is not a factor in capacity planning is the option (d) proximity to suppliers
Other aspects of the operations of an organization, such as supply chain management and logistics can be affected by the proximity of suppliers, but the proximity of suppliers is not directly linked to the determination process for the production capacity needed to meet the market demand.
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A certain test is going to be repeated until done satisfactorily. Assume that repetitions of the test are independent and that each has probability 0.25 of being satisfactory. The first 5 tests cost $100 each to perform and thereafter cost $40 each, regardless of the outcomes. Find the expected cost of running the tests until a satisfactory result is obtained.
Result obtained is $460
Answer:Let X denote the number of tests that need to be performed until a satisfactory result is obtained. Then X has a geometric distribution with p = 0.25. Therefore,X ~ Geo(0.25) E[X] = 1/p = 1/0.25 = 4 tests.For the first 5 tests, the cost is $100 each. So the cost of running the first 5 tests is 5 × $100 = $500. Thereafter, the cost of each test is $40. The expected cost of running the tests until a satisfactory result is obtained is given by:E(Cost) = $500 + E(X – 5) × $40Expected Cost = $500 + (E(X) – 5) × $40= $500 + (4 – 5) × $40= $460Therefore, the expected cost of running the tests until a satisfactory result is obtained is $460.
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if a sample size of 16 yields an average of 12 and a standard deviation of 3, estimate the 95% ci for the mean. a. [10.4, 13.6] b. [10.45, 13.55] c. [10.53, 13.47] d. [10.77, 13.23]
The estimated 95% confidence interval for the mean is [10.4, 13.6], making answer choice (a) correct.
To estimate the 95% confidence interval for the mean, we can use the formula
CI = X ± t(α/2, n-1) * (s/√n)
where X is the sample mean, s is the sample standard deviation, n is the sample size, t(α/2, n-1) is the t-value for the given confidence level and degrees of freedom, and α is the significance level (1 - confidence level).
For a 95% confidence interval with 15 degrees of freedom (n-1), the t-value is approximately 2.131.
Plugging in the values, we get
CI = 12 ± 2.131 * (3/√16)
CI = 12 ± 1.598
CI = [10.402, 13.598]
Therefore, the closest answer choice is (a) [10.4, 13.6].
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Give the value of M and C.
Answer:
y = 5x - 3, so M = 5 and C = -3.
very unsure of this answer so pls help asap if you can!!
The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.
What is a parallelogram?In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.
In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:
(Line segment PR)/2 = (Line segment SQ)/2
Line segment PR = Line segment SQ
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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?
Answer:
Answer
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Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)
8am = -2
9am = -0.5
10am = 1.0
11am = 2.5
12pm = 4
m = change in each value or the slope , for this it is m=1.5
c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5
The equation then is: y= 1.5*x - 3.5
The gradient/slope/m value is 1.5. The answer is 1.5
Determine the value of theta, to the nearest degree. Please show work.
Answer:
∅ = 22.33°
Step-by-step explanation:
tan 28° = h/15
0.5317 = h/15
h = 7.98
sin ∅ = h/21
sin ∅ = 7.98/21
sin ∅ = 0.38
∅ = 22.33°
La siguiente imagen representa el terreno que tiene don Ramón
Elije la afirmación correcta
A) Don Ramón tiene 100 metros cuadrados
B)Don Ramón tiene una cen
tiarea
C)Don Ramón tiene una hectárea
D)Don Ramón tiene un kilómetro cuadrado
Don Juan fue a la ferreteria a comprar una manguera para regar su jardín. Después de observar varias, eligió la que tiene la siguiente etiqueta. 83 pies, Diamtero interior 1/2 in. a) ¿Cuántos metros de longitud tiene la manguera que compró Don Juan? b) ¿Cuántos centímetros de diámetro interior tiene la manguera?
Responder:
25,30 m
1,27 cm
What is paso a paso ?Estamos obligados a convertir la longitud de la manguera de pies a metros y el diámetro de pulgadas a centímetros:
Longitud de la manguera = 83 pies
Recordar ;
1 pie = 0.3048 m
83 pies = (83 * 0.3048) = 25.2984 m
= 25,30 m
El diámetro de la manguera = 1/2 pulgadas
1 pulgada = 2,54 centímetros
1/2 pulgada = (1/2 * 2.54) cm
1/2 pulgada = 1,27 cm
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The value of a stock increased 1 1/4 points Monday morning. On Monday afternoon the value
of the stock decreased 5 5/6. On Tuesday morning, the value increased 1 1/2 points. What is the
overal change in the stock's value?
Based on the information provided, it can be concluded that the total change in the stock value was +2.5.
How to calculate the total change?The total change can be determined by analyzing the partial changes as shown below:
First change: + 1 1/4 or +1.25
Second change: -5 5/6 or 5.83 = -5.83 + 1.25 = -4.58
Third change: + 1 1/2 or 1.5 = -4.58 + 1.5 = -3.08
In this case, the + symbol means an increase, while the - symbol implies a decrease in the value of the stock. This shows that in total there was a decrease of 3.08 points in the value of the stock.
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The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is
Answer:
2143.57 cm³\( \: \)
Step-by-step explanation:
In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
\(\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\\)
Now, we will substitute the values in the formula :
\(\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\\)
\(\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\\)
\(\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\\)
\(\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\\)
\(\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\\)
\(\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\\)
Therefore,
The volume of the sphere is 2143.57 cm³Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total
Answer:
$39.36
Step-by-step explanation:
Can find how much the sales tax cost:
32 x 0.08 = $2.56
Can also find out how much he tipped:
32 x 0. 15 = $4.80
Total = $32 + sales tax + tip
Total = $32 + $2.56 + $4.80
Total = $39.36
Answer:
$39.36 in total
Step-by-step explanation:
32×0.08= 2.56
32×0.15= 4.8
4.8+2.56= 7.36
32+7.36=39.36
Write the linear equation in slope-intercept form passing through the point (0, 3) and that has a slope of 2.
Answer:
y=2x+3
Step-by-step explanation:
Evaluate the expression when a=1/4 and b=6
Answer:
4.75/ 19/4
Step-by-step explanation:
a=1/4; b=6
12a+(b-a-4)=?
12(1/4)+(6-1/4-4)=?
3+1.75 or 7/4=?
=4.75 or 19/4
I'm not very sure but I tried lol
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
The solid and dashed lines show how two consultants charge for their services. Use the graph for 9-11.
9. How much does each charge for a 6-hour job?
10. Does either consultant charge according to a linear function?
11. For which length do A and B charge the same amount?
12. Are the functions discrete or continuous? Explain.
Answer:
From the graph, we have;
9. Consultant A charges $300 for a 6-hour job
Consultant B charges $400 for a 6-hour job
10. Yes, consultant B charges according to the linear function, y = $400
11. From the graph, the length of time for a job at which both A and B charge the same amount is the number of hours worked at the point where the graphs of the function of the charges of both consultants meet
12. The functions are discrete, because the amount charged for a given duration of hours worked is finite and or countable to arrive at an exact value
Step-by-step explanation:
Discrete variables are those that can be counted within a given time frame to find an exact value. Given that the amount charged by each consultant for each duration of hours worked is indicated on the graph of the function for the charge by each consultant, and given that the maximum charges and duration of hours worked are also specified and finite or countable, the functions are discrete.
Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. Which of the following terms of trade between apples and oranges would allow both Alpha and Beta to gain by specialization and exchange?
A. 1 orange for 0.2 apples
B. 2 apples for 3 oranges
C. 3 apples for 3 oranges
D. 1 apple for 3 orange
A nation cannot have a comparative advantage in the production of every good. Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. The opportunity cost of producing 1 orange for Alpha and Beta, respectively, are: 0.5 apples; 0.25 apples.
What is proportion?A percentage is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province.
Here,
A country cannot have a competitive advantage in producing every good. Alpha can generate 18 oranges or 9 apples per hour, whilst Beta can produce 16 oranges or 4 apples per hour. The opportunity cost of producing one orange for Alpha and Beta is 0.5 apples and 0.25 apples, respectively.
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select all the expressions that equal.. *see picture for problem*
Answer:
Step-by-step explanation:
oknjbgfkdfrgn jnfbfl
solve for x =
a 9
b 7
c 4
If five babies are born in a given hospital on the same day, what is the chance of
(a) 5 boys;
(b) 4 boys, 1 girl;
(c) 3 boys, 2 girls;
(d) 2 boys, 3 girls;
(e) 1 boy, 4 girls; and
(f) 5 girls?
Now calculate the Probabilities that among 6 children born in a given hospital on a particular day:
(a) 1 boy 5 girls
(b) 3 boys and 3 girls
(c) 6 girls
The binomial distribution formula can be used to determine the probabilities for each scenario: P(k) is equal to C(n,k) ˣ pk ˣ (1 - p)(n - k).
The binomial distribution formula can be used to determine the probabilities for each scenario:
P(k) is equal to C(n,k) ˣ pk ˣ (1 - p)(n - k)
(a) C(5, 5) ˣ 0.55 ˣ (1 - 0.5) ˣ (5 - 5) = 0.55 = 0.03125 or 3.125%
(b) C(5, 4) ˣ 0.5 ˣ 4 ˣ (1 - 0.5)(5 - 4) = 5 ˣ 0.5 ˣ 5 = 0.15625 or 15.625%
P(3 males, 2 girls) = C(5, 3) ˣ 0.5 ˣ 3 ˣ (1 - 0.5) (c)
(5 - 3) = 10 ˣ 0.5⁵ = 0.3125 or 31.25%
(d) P(2 males, 3 girls) is equal to C(5,2) ˣ 0.5 ˣ 2 ˣ (1 - 0.5)
(5 - 2) = 10 ˣ 0.5⁵ = 0.3125 or 31.25%
(e) C(5, 1) ˣ 0.5 ˣ 1 ˣ (1 - 0.5) ˣ (5 - 1) = 5 ˣ 0.5 ˣ 5 = 0.15625 or 15.625%
(f) P(5 girls) = C(5, 0) ˣ 0.5 ˣ 0 ˣ (1-0.5) ˣ (5 - 0.5) ˣ (0.5) = 0.5 ˣ 5 = 0.03125 or 3.125%
For six kids that were born simultaneously in the same hospital:
(a) P(1 guy, 5 girls)=C(6, 1) ˣ 0.5 ˣ 1 ˣ (1 - 0.5)
(6 - 1) = 6 * 0.5₆ = 0.09375 or 9.375%
(b) P(3 females, 3 boys) = C(6, 3) ˣ 0.5 ˣ 3 ˣ (1 - 0.5)
(6 - 3) = 20 * 0.5⁶ = 0.3125 or 31.25%
(c) P(6 girls) = C(6, 0) * 0.50 * (1 - 0.5)(6 - 0.5)(0.5)(0.5)(0.5) = 0.56 = 0.015625 or 1.5625%
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Need help with 2-word problems, tysm if you do
Answer:
Step-by-step explanation: okay so, all you have to do is put for example, 4 quarters and 3 nickels. Nickels are 5 cents and quarters are 25. 25x4 is 100 which is a dollar. 5x3 is 15 which is 15 cents. Simple right? Now for this problem we do the same thing. 13 quarters is 13x25 which is 325, which is 3.25 cents. Now it says 3 nickels, which is 3x15, which is also 15 cents. Then you add that together and get $3.40 dollars. So the answer is C.
PLS HELP MEEEEEEEEEE :(
Answer: c
Step-by-step explanation:
The temperature in fargo nd was -28 degrees on monday afternoon. By the evening, it dropped an addition 15 degrees. What was the temperature in the evening?