The equation that shows the relationship is y = 6 + x
How to determine the equation that shows the relationship?From the question, we have the following parameters that can be used in our computation:
Initial number of pieces = 6
Additional number of pieces per week = 1
The equation that shows the relationship is represented as
Number of pieces = Initial number of pieces + Additional number of pieces per week * Number of weeks
Substitute the known values in the above equation, so, we have the following representation
Number of pieces = 6 + 1 * Number of weeks
So, we have
Number of pieces = 6 + Number of weeks
Using the representations:
The number of weeks Braden takes voice lessons, x, The number of pieces he knows, y.We have
y = 6 + x
Hence, the equation is y = 6 + x
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Indentify a pair of segments that are marked perpendicular to each other on the diagram below
Answer:
Indentify a pair of segments that are marked perpendicular to each other on the diagram below
Step-by-step explanation:
OQ
At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. A random sample of 5 backpacks will be weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of Pl (a > 22) 0.05?a. The probability that each of the 5 backpacks selected will have a weight above 22 pounds is approximately 0.05.b. The probability that each of the 5 backpacks selected will have a weight above 19.7 pounds is approximately 0.05c. The probability that the population mean is greater than 22 pounds is approximately 0.05.d. For all samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds,e. For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
The probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05.
The distribution of backpack with mean deviation = 19.7 pounds
And the standard deviation = 3.1 pounds
According to this question,
He normal probability distribution and the central limit theorem were used.
Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.
Mean standard deviation, the z-score of a measure X is given by:
Z = x-μ/σ
The Z-score measures how many standard deviations. the measure is from the mean.
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.
This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Subtracting 1 by the p value,
We get the value probability that of the measure is greater than X.
Central Limit Theorem; The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For samples of size 5, which of the following is the best interpretation of P(ä > 22) = 0.05
No matter the size of the sample mean will be the same.
However, the standard deviation will be changed.
P(ä > 22) is the probability of the sample means being above 22.
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
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A card is drawn from a standard 52-card deck (no jokers). Match each event with its probability.
Probabilities:
*The probability the card is red, given that it is a face card.
*The probability the card is a king, given that it is a face card.
*The probability the card is red, given that it is a spade.
*The probability the card is red, given that it is a face card.
*The probability the card is a face card, given that it is a queen.
Options:
1/2
1/3
1
0
The probability the card is red, given that it is a face card is 1/2 and the probability the card is a king, given that it is a face card is 1/3.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
A card is drawn from a standard 52-card deck (no jokers).
We have to match each event with its probability.
Since, a deck of cards contains the face cards J, Q, and K.
Let's say there are four different kinds of cards: spades, clubs, hearts, and diamonds.
King, Queen, and Jack are contained in each of these types.
Thus, the total number of face cards is 12 (3 x 4).
(1) Let the face cards are 12 and there are 6 red cards in that 12 face cards.
So, the probability the card is red, given that it is a face card is
= 6/12 = 1/2.
(2) There are 4 king in a 12 face cards.
So, the probability the card is a king, given that it is a face card
= 4/12 = 1/3.
Hence the probability the card is red, given that it is a face card is 1/2 and the probability the card is a king, given that it is a face card is 1/3.
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Choose 5 ordered pairs whose first and second coordinate are equal. Plot these points and connect them. What kind of figure do you get? In what quadrants does the figure lie?
Answer:
Here are 5 ordered pairs whose first and second coordinates are equal:
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
If we plot these points and connect them, we get a straight line that runs from the bottom left to the top right of the coordinate plane. This line is called the "diagonal" of the coordinate plane and it divides the plane into 4 quadrants.
The figure that we get lies in all 4 quadrants of the coordinate plane. The top right and bottom left quadrants are the "positive" quadrants, where both the x- and y-coordinates are positive. The top left and bottom right quadrants are the "negative" quadrants, where both the x- and y-coordinates are negative.
Graph the line whose equation is given in Point slope form. y+7=2(x-4)
Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).
The graph of the equation is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of the equation y + 7 = 2 (x - 4).
y + 7 = 2 (x - 4)
y = 2(x - 4) - 7
y = 2x - 8 - 7
y = 2x - 15
For x = 0,
y = - 15
(0, -15)
For x = 1,
y = 2 - 15 = -13
(1, -13)
For x = 2,
y = 4 - 15 = -11
(2, -11)
And so on...
Thus,
The graph of the equation is given below.
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A 15-foot tall tent pole i ecured to the ground uing a piece of rope 17 feet long that goe from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground, determine the number of feet along the ground from the tent pole to the rope. A. 64 feet
B. 19 feet
C. 8 feet
D. 7 feet
As per the Pythagoras theorem, the number of feet along the ground from the tent pole to the rope is 8 feet.
Here we have given that A 15-foot tall tent pole incurred to the ground using a piece of rope 17 feet long that goes from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground,
And we need to determine the number of feet along the ground from the tent pole to the rope.
AS per the given data, here we have consider that the pole makes 90° with the ground and is supported by a rope.
And for the clear observation, here we can realize that the pole, rope and ground form a right-angled triangle, where
The value of Hypotenuse (h) = length of rope = 17 feet
And the Side 1 (p) = length of tent pole = 15 feet
Then the Side 2 (b) = distance between pole and rope along the ground
Now, we have to applying the Pythagorean theorem, the following equation is obtained:
=> h² = p² + b²
Then we have to apply the values on it, then we get
=> 17² = 15² + b²
=> b² = 289 - 225
Therefore, the value of is calculated as,
=> b = √64
=> b = 8 feet
Therefore the distance between the tent pole and the rope along the ground is 8 feet.
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Daisha has a barrel in her garden to collect rainwater. The barrel can hold at most 65 gallons of water.
Which inequality represents this situation?
w ≤ 65
w ≥ 65
w < 65
w > 65
Answer:
w < 65 is the correct inequality.
Avi and Micah are teammate on a track and field team. Avi' bet long jump i 1 1/6 time a long a Micah. Avi' bet long jump i 3 1/2 meter. How long i Micah' bet long jump?
Micah's best long jump is 3 meters long.
In this question we have been given Avi and Micah are teammates on a track and field team.
We need to find the how long is Micah's best long jump.
Let Micah's best long jump is x meters and Avi's best long jump is y meters.
Avi's best long jump is 3 1/2 meters.
⇒ y = 3 1/2 meters
We write this improper fraction as proper fraction.
3 1/2 = 7/2
Also, Avi's best long jump is 1 1/6 times as long as Micah's.
So, we get an equation
y = (1 1/6) * x
We write improper fraction 1 1/6 as 7/6
So equation becomes,
y = 7/6 * x
Subatitute the value of y
7/2 = 7/6 * x
x = (7/2)/(7/6)
x = 6/2
x = 3 meters
Therefore, Micah's jump is 3 meters long.
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114=6p
x/4=16
75=y-25
answer pls
Answer:
p = 19
x = 64
y = 100
Step-by-step explanation:
114 = 6p
Divide by 6 into both sides
p = 19
x/4 = 16
Times 4 into both sides
x = 64
75 = y - 25
Add 25 to both sides
y = 100
an electric pole is 9m high. A steel wire tied to the top of the pole affixed at a point on the ground at a distance of 12m from the foot of the pole. Find the length of the wire.
pls answer the question.........step by step.............30pt
Answer:
the length is 15
Step-by-step explanation:
So the height of the pole(Opposite) = 9m
The steel wire fixed to the ground(Adjacent) = 12m
the length( Hypotenuse) = ?
using the formula
Hyp² = opp² + Adj²
Hyp² = 9² + 12²
Hyp² = 81 + 144
Hyp² = 225
Hyp = √225
Hyp = 15
i hope this helps
(a) how many 4-permutations are there of a set of six objects? (b) how many 2-permutations are there of a set of nine objects?
There will be a total of 720 4- permutations of a set of six objects. And there will be a total of 72 2- permutations of a set of nine objects.
The calculation for 4-permutations of a set containing six objects
P(6,4)! = 6! / (6-4)1
P(6,4)! = 6×5×4×3x2
P(6,4)! = 720
Therefore, there will be a total of 720 permutations.
The calculation for 2- permutation of a set containing 9 objects
P(9,2)! = (9,7)! = (9-2) = 9! / 7!
P(9,2)! = 9×8x7! / 7!
P(9,2)! = 72
Therefore, there will be a total of 72 permutations.
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a less than /- 5 is usually an indicator of a reliable public opinion poll. a. margin of error b. modal response c. sample size d. standard deviation e. self-selection bias
The correct answer is a. margin of error.
The margin of error is a measure of the precision of a survey or poll. It represents the range of values within which the true value of the population parameter being measured is likely to fall, based on the sample data collected. A smaller margin of error indicates a higher level of precision and a more reliable estimate of the population parameter. In general, a margin of error of less than +/- 5 is considered to be a good benchmark for a reliable public opinion poll.
The modal response is the most common response to a survey question. The sample size is the number of people included in the survey. Standard deviation is a measure of the dispersion of a set of data. Self-selection bias refers to the possibility that the people who choose to participate in a survey are not representative of the entire population being studied.
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In a regression analysis, the error term ε is a randomvariable with a mean or expected value ofa) Zerob) Onec) any positive valued) any value
In a regression analysis, the error term ε is a random variable with a mean or expected value of zero.
The model used in regression analysis is known as the regression model it is used to estimate the relationships between a dependent variable and one or more independent variables.
It helps us to find the strength between two given relations thus determining whether a plan is correct or not. It helps us to make plans based on certain reports .
Another way of analyzing things is by using multiple regression analysis, it can be used to assess the connection between a dependent variable and two or more independent variables. For example, you may assess the relationship between a person's income and their experience, education, and geographic area.
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What is the equation of the line that passes through the points (-2,10) and (-9,-5)? Write your answer in slope intercept form
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-2)}}} \implies \cfrac{-15}{-9 +2} \implies \cfrac{ -15 }{ -7 } \implies \cfrac{ 15 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ \cfrac{ 15 }{ 7 }}(x-\stackrel{x_1}{(-2)}) \implies y -10 = \cfrac{ 15 }{ 7 } ( x +2) \\\\\\ y-10=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }\implies y=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }+10\implies {\Large \begin{array}{llll} y=\cfrac{ 15 }{ 7 }x+\cfrac{100}{7} \end{array}}[/tex]
click all of the graphs that do not pass the vertical line test.
PLease help me!!!!!
Answer:
Below
Step-by-step explanation:
1 2 and 3 do not pass the vertical line test because you can draw a vertical line that will cross the graph two times
The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?.
The coordinates of the recycle bin will be = ( -1, 2.5 )
According to the information given in the question,
The coordinates of the vertices of the park are,
( 1, 1 ), ( 1, 4 ), and ( -3, 4 )
We have to find the coordinates of the recycle bin.
Let us consider the equation of the circle,
[tex]x^{2} +y^{2}+Dx + Ey+ F =0[/tex]
So putting the values of the coordinates into the equation,
First Equation,
[tex]1^{2}+1^{2} + D + E + F = 0[/tex]
Second Equation,
[tex]1^{2} +4^{2} +D + 4E + F=0[/tex]
Third Equation,
[tex](-3)^{2} + 4^{2} - 3D+4E+F=0[/tex]
Subtracting the first equation from the second,
[tex]1^{2} +4^{2} +D + 4E -E=0[/tex]
15 + 3E = 0
3E = -15
E = -5
Subtracting the third equation from the second,
1 + 16 - 9 - 16 + D + 3D = 0
4D = 8
D = 2
Putting the values of E and D in the first equation,
1 + 1 + D + E + F = 0
F = -2 - D - E
F = 1
So now the equation of the circle becomes,
[tex]x^{2} +y^{2}+2x - 5y+ 1 =0[/tex]
By expanding the above equation we can find the standard equation,
[tex]x+2x+1^{2} +y^{2} -5y+ 2.5^{2}- 1^{2} -2.5^{2} +1 =0[/tex]
[tex](x+1)^{2} + (y - 2.5)^{2} = 1^{2} + 2.5^{2} -1[/tex]
[tex](x+1)^{2} + (y - 2.5)^{2} = 2.5^{2}[/tex]
So the required circumcenter will be = ( -1, 2.5 )
Therefore, the coordinates of the recycle bin will be = ( -1, 2.5 )
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A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1,4), and (-3,4). The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?
Peter receives a salary of rs 14 250 per month plus a commision of 6 % on all sales. find his totasl sales, given that he receives a gross salary of rs 26 250.
let x as the total sales
26 250 = 14 250 + 0.06x
26 250 - 14 250 = 14 250 - 14 250 + 0.06x (subtract 14 250 both sides)
12 000 = 0.06x
x = 200 000
CHECKING:26 250 = 14 250 + 0.06(200 000)
26 250 = 14 250 + 12 000
26 250 = 26 250
Therefore, Peter have total sales of RS 200 000.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-In thi coordinate plane, the ditance between each gridline repreent 1 mile. What i the ditance, in mile, between the library and the chool? You can ue the coordinate plane to help you find the anwer by plotting the two point
The distance between the library and the school using the coordinates plane is 7.28 miles.
A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).
The distance formula between two coordinates is given by:
d =√((x2 – x1)^2 + (y2 - y1)^2)
Using the distance formula, the distance between the library and the school are:
d =√((-3 – 4)^2 + (3 - 1)^2)
d =√((-7)^2 + (2)^2)
d =√((-7)^2 + (2)^2)
d =√(49 + 4)
d =√53
d = 7.28 miles
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Given that f(x) = 2x^2 + 9x and p = f(-3), what is the value of 3p?
Answer:
–27
Step-by-step explanation:
f(x) = 2x² + 9x
f(–3) = 2(–3)² + 9(–3)
= 2(9) + –27
= 18 – 27
= –9
since p= f(–3) = –9
3p = 3 × – 9 = –27
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: Practice & Problem Solving
Part 1 of 2
Marsha deposited $9,000 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Marsha earn in interest?
Substitute the values into the equation.
Answer:
Marsha earn $1350.
Step-by-step explanation:
Given;P = $9000T = 3 yearsR = 5%To Find;InterestSo,
9000 × 5 × 3 ÷ 100
135000/100
$1350
Thus, Marsha earn $1350.
The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.3 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 4600 MB. How many downloads of the standard version were there?
Answer:
The number of downloads of the standard version is 230.
Step-by-step explanation:
Let x be the number of downloads of the standard version.
The number of downloads of the high-quality version is 4x.
The total size downloaded for the standard version is 2.8x MB.
The total size downloaded for the high-quality version is 4.3(4x) = 17.2x MB.
The total size downloaded for both versions is 2.8x + 17.2x = 4600 MB.
Combining like terms, we have 20x = 4600 MB.
Dividing both sides by 20, we have x = 230 downloads of the standard version
three less than twice an integer is greater than 1
2x - 3 > 1
x represents an integer and 3 is less than twice an integer which is 2x. So it's 2x - 3.
2x - 3 is greater than 1.
So therefore, the answer is 2x - 3 > 1
Answer:
2x-3>1
Step-by-step explanation:
lets say x is the interger
so twice an interger would be 2*x or 2x
and three less than that would be 2x-3
and 2x-3 is greater than one
so, 2x-3>1
three students attempt to define what it means for \overleftrightarrow{ab} ab a, b, with, \overleftrightarrow, on top and \overleftrightarrow{cd} cd c, d, with, \overleftrightarrow, on top to be perpendicular. \qquad 2 lines intersecting. one line is vertical with points a and b on opposite ends. the other line is horzontal with points c and d on opposite ends. they intersect at point o in the middle of both lines. can you match the teacher's comments to the definitions?
However, the information is not complete but we can see parallel lines in general to solve it.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Define perpendicular lines.Perpendicular lines are those that cross at a straight angle of 90 degrees.
Lines that are perpendicular to one another are those that are 90 degrees apart. In light of this definition, we could conclude that for lines lll and mmm to be perpendicular, they must intersect and form a right angle (90°) to one another.
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which graph represent 5x-2y=3
Answer:
The answer is below; I have put the equation and graphed it!
Step-by-step explanation:
Graph the line whose equation is given in Point slope form. y+7=2(x-4)
Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).
The graph of the equation is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of the equation y + 7 = 2 (x - 4).
y + 7 = 2 (x - 4)
y = 2(x - 4) - 7
y = 2x - 8 - 7
y = 2x - 15
For x = 0,
y = - 15
(0, -15)
For x = 1,
y = 2 - 15 = -13
(1, -13)
For x = 2,
y = 4 - 15 = -11
(2, -11)
And so on...
Thus,
The graph of the equation is given below.
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Johan buys a backpack for $41. He has to pay 8% sales tax. How much is the tax?
pls help asap tysm
Answer: The tax is $3.28.
Step-by-step explanation:
8% is equal to 0.08.
If you multiply 41 x 0.08 you get 3.28.
Samantha has a total of 12 chickens.if she has 3 times as many chickens as dogs write and sole an equation to determine the number of dogs she has.
Answer:
Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.
How did we figure this out?Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. First you have to divide by 3 on both sides.
⇒ 3x = 12 ⇒ x = 4 This is your answer, x = 4Therefore, Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.
3(x-5) But the variable x represents 3
Answer:
-6
Step-by-step explanation:
Do whats in the parentheses first (3-5=-2)
so you have 3(-2), and that equals -6
Answer:
[tex]\tt -6[/tex]Step-by-step explanation:
3(x - 5) when x = 3
Substitute x with 3:-
[tex]\tt 3\left((3)-5\right)[/tex]
[tex]\tt 3\left(-2\right)[/tex]
[tex]\tt -6[/tex]
Therefore, your answer is -6!
______________________
Hope this helps you!
Have a nice day!
julian's transcript shows a grade point average of 3.00, with a standard deviation of 0.25. what fraction of his total credits were certain to have a grade point average between 2.00 and 4.0?
At least 75% of his total credits were certain to have a grade point average between 2.00 and 4.0.
By looking at the standard deviation of 0.25, we can calculate the range of the grade point averages which are within two standard deviations away from the mean. In this case, the mean is 3.00, so two standard deviations away would be 2.00 (3.00 - 0.25 x 2) and 4.00 (3.00 + 0.25 x 2). Since the grade point averages within this range are certain to have a grade point average between 2.00 and 4.0, at least 75% of the total credits are certain to have a grade point average between these two numbers.
Lower limit (2 standard deviations away from the mean):
3.00 - (0.25 x 2) = 2.00
Upper limit (2 standard deviations away from the mean):
3.00 + (0.25 x 2) = 4.00
Therefore, at least 75% of the total credits have a grade point average between 2.00 and 4.00.
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An angle measure 8 less than the measure of its supplementary angle.what is the angle measure of each angle
Step-by-step explanation:
Let the larger angle be x.
Smaller angle = x - 8
As both angles are supplementary,
x + (x - 8) = 180°
2x - 8 = 180°
2x = 188°
x = 94°
Therefore, larger angle = 94°
Smaller angle = 94° - 8° = 86°