A regression model could be used to estimate the wage gender gap by comparing the earnings of men and women.
Regression is a statistical technique used in the fields of finance, investing, and other areas that aims to assess the nature and strength of the relationship between one dependent variable and another. In this case, the dependent variable would be the gender gap in wages and the independent variable would be the earnings of men and women. The regression model would be used to calculate the difference between the two variables, which would indicate the wage gender gap.
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OM
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Question 14
II Pause
Use this situation to answer the problem
A river in one part of the Rocky Mountains has a flow rate of 250 cubic meters of
water per second. The flow of the water can be modeled mathematically with the
function, w(t) = 250t, where w(t) represents the volume of the water in cubic
meters, at time t, in seconds.
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ii
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Find the number of cubic feet of water that have flowed down the river in 5 minutes
58°F Clear
2648625 cubic feet of water that have flowed down the river in 5 minutes
How to find the number of cubic feet of water that have flowed down the river in 5 minutes?Given that:
The flow of the water can be modeled mathematically with the
function, w(t) = 250t, where w(t) represents the volume of the water in cubic meters, at time t, in seconds.
In order to find the number of cubic feet of water that have flowed down the river in 5 minutes. We'll first convert the time t = 5 minutes into seconds and then substitute it into the function. That is:
t = 5 minutes = 5 × 60 = 300 seconds
w(t) = 250t
w(300) = 250 × 300
w(300) = 75000 cubic meters
To convert to cubic feet multiply by 35.315:
w(300) = 75000 × 35.315 = 2648625 cubic feet
Therefore, the number of cubic feet of water that have flowed down the river in 5 minutes is 2648625 cubic feet
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2. solve the equation p2 4p = 1 by completing the square. show your work.
The value of 'p' obtained by completing the square is √5 - 2.
Define the term completing square?Completing the square is the process of engineering the quadratic equation to produce a perfect square by adding and subtracting both from sides.The given equation in the question is-
p² + 4p = 1
4 divided by half is 2, but 2 squared is 4, therefore
p² + 4p + 4 = 1 + 4
Putting that part of "b" between parenthesis is the simplest method to describe it at this point.
(p + 2)² = 5
The result of multiplying (p + 2)(p + 2) is p² + 4p + 4.
A square root from both sides is now calculated.
p + 2 = √5
p = √5 - 2
Thus, the value of 'p' obtained by completing the square is √5 - 2.
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The correct question is-
Solve the equation p² + 4p = 1 by completing square.
a survey, 29 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $35.9 and standard deviation of $9.5. estimate how much a typical parent would spend on their child's birthday gift (use a 98% confidence level). give your answers to 3 decimal places. express your answer in the format of ¯ x ± e. $ ± $
Using test statistic z, Typical parent would spend on their child's birthday gift is between $30.927 and $40.873.
In the given question we have to estimate how much a typical parent would spend on their child's birthday gift using a 98% confidence level.
Given in the question
Number of sample (n) = 29
Sample mean (X) = 35.9
Sample standard deviation (S) = 9.5
We need to calculate 98% confidence interval which can be calculated as
CI = X± [tex]t_{\alpha/2}[/tex] * S/√n
Here confidence level CI = 0.98
Level of significance (\alpha) = 1-0.98=0.02
α/2 = 0.01
Degree of freedom (df) = n-1 = 29-1 = 28
from t table we found [tex]t_{\alpha/2}[/tex] = 2.821
So 98% confidence interval is
CI = 35.9 ± 2.821* 9.5/√29
CI = 35.9± 2.821* 9.5/5.39
CI = 35.9± 2.821*1.763
CI = 35.9± 4.973
CI = (35.9-4.973, 35.9+4.973)
CI = (30.927, 40.873)
30.927 < μ < 40.873
So, Typical parent would spend on their child's birthday gift is between $30.927 and $40.873.
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Noelia has 144 role-playing cards. She and
her friends buy another set that costs $27,
and Noelia pays $9. They evenly split the
cost and the 72 cards in the set. How many
cards does Noelia have after she buys part
of the set with her friends?
Noelia has 216 cards after buying part of the set with her friends.
What is addition?Combining items and counting them as a single, large group is done through addition.
Given that, Noelia has 144 role-playing cards.
Now, she bought 72 cards more, therefore, the number of cards Noelia has is:
144 + 72
= 216
Hence, Noelia has 216 cards after buying part of the set with her friends.
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multiply 144 times 27 which is 3,888
3888
- 9
-----------
3,879 3,879
- 72
--------------
3,807
question a 15-foot ladder is leaning against a wall. the top of the ladder is sliding down the wall at a rate of 2 ft/sec. how fast is the bottom of the ladder moving when it is 12 feet away from the wall?
Speed the top of the ladder is sliding down = 1.6ft/sec when it is 12 feet away from the wall
15-foot ladder is leaning against a wall.
the top of the ladder is sliding down the wall at a rate of 2 ft/sec.
how fast is the bottom of the ladder moving when it is 12 feet away
Using equivalent proportion
15 ft -------------------2ft/sec
12 ft-------------------X ft/sec
Hence X = (12 x 2) ÷ 15 =1.6 ft/sec
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the perpendicular bisector of side AB of triangle ABC intersects side AB at point D and BC at point E. If angle CAB = 82 degrees and angle C = 68 degrees, what is angle CAE
After finding the value of the angle CAE will be equal to 22°.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the information provided in the question,
The perpendicular bisector of side AB of ABC intersects side AB at point D and BC at point E in the ABC equation. Also, m∠CAB = 82° and m∠C = 68°.
Join A and E.
In Δ ABC
∠A+∠B+∠C = 180° (Angle sum property of triangle.)
82°+∠B+68° = 180°
∠B = 180°-150°
∠B =30°
In Δ ADE and Δ BDE
AD=B D(DE shown is a perpendicular bisector.)
∠ADE =∠BDE = 90°
DE is common.
Δ ADE ≅ Δ EDB (By using the property SAS)
∠DEB=∠D A E [By using the property CPCT] (1)
In Δ DBE
∠EDB + ∠DBE+∠BED = 180°
90° +30°+∠BED = 180°
∠BED = 180°-120°
∠BED = 60°
So, ∠BAE=∠BED=60° (By using equation 1)
∠CAE=∠CAB - ∠BAE
∠CAE = 82°-60°
∠CAE = 22°.
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i need help on this! i did the first part though
Answer:
Winning jump = 5.474
Her best jump = 4.76
Step-by-step explanation:
4.25×1.12=4.76
4.76×1.15=5.474
the combined average weight of an okapi and a llama is 450450450 kilograms. the average weight of 333 llamas is 190190190 kilograms more than the average weight of one okapi. on average, how much does an okapi weigh, and how much does a llama weigh? on average, an okapi weighs kilograms and a llama weighs kilograms.
Answer:
Okapi weighs 290, and llama weighs 160.
digoxin is a drug often prescribed to treat heart ailments. the purpose of a study by parker et al. (a-4) was to examine the interactions of digoxin with common grapefruit juice. in one experiment, subjects took digoxin with water for 2 weeks, followed by a 2-week period during which digoxin was withheld. during the next 2 weeks subjects took digoxin with grapefruit juice. for seven subjects, the average peak plasma digoxin concentration (cmax) when taking water is given in the first column of the following table. the second column contains the percent change in cmax concentration when subjects were taking the digoxin with grapefruit juice [gfj (%) change]. use the cmax level when taking digoxin with water to predict the percent change in cmax concentration when taking digoxin with grapefruit juice.
Cmax (ngl/ml) with Water Change in Cmax with GFJ (%)
2.34 29.5
2.46 40.7
1.87 5.3
3.09 23.3
5.59 -45.1
4.05 -35.3
6.21 -44.6
2.34 29.5
The graph of the change in Cmax is (see in attachments).
Cmax Change in Cmax predicted percentage
2.34 29.5 22.96%
2.46 40.7 20.62%
1.87 5.3 32.14%
3.09 23.3 8.32%
5.59 -45.1 -40.47%
4.05 -35.3 -10.42%
6.21 -44.6 -52.58%
2.34 29.5 22.96%
Graph:
A graph is a logical visual representation of any data in mathematics. The correlation between the variable values is depicted on the graph. A graph is used in graph theory to depict a group of items that are interconnected in some way. In essence, the vertices or nodes of the objects are mathematical notions, and the edges are representations of the connections between the nodes. In mathematics and statistics, many graph types are used to visually display data. The study of points and lines is the focus of the field of graph theory. It is a branch of mathematics with a focus on graph analysis. The mathematical truth is visually illustrated in this image. Relationships are studied using the graph theory.
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Dilate A(-1,-1),D(0,2),I(3,1) by scale factor of 2 from the origin
The points after dilation will be A'(-2, -2), D'(0, 4), L'(6, 2) if the points are A(-1,-1),D(0,2),I(3,1)
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
It is given that:
Dilate A(-1,-1),D(0,2),I(3,1) by scale factor of 2 from the origin
After dilation:
A (-1,-1) --> ( -1x2 , -1x2 ) --> (-2, -2)
D (0,2) --> ( 0x2 , 2x2 ) --> (0, 4)
L (3,1) --> ( 3x2 , 1x2 ) --> (6, 2)
Thus, the points after dilation will be A'(-2, -2), D'(0, 4), L'(6, 2) if the points are A(-1,-1),D(0,2),I(3,1)
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an initial population of 765 quail increases at an annual rate of 16%. write an exponential function to model the quail population. what will the approximate population be after 4 years?
An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
Population growth is seen to increase at an exponential rate. We use the following to model this growth.
y = A₀(1 + r)ⁿ
where
y = value at time
A₀ = original value
r = rate of growth
n = time elapsed
An exponential function that models the quail population is set up like:
y = 765(1+0.16)ⁿ
so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,
y = 765(1+0.16)⁴
y = 765(1.16)⁴
y = 765* 1.81
to get
y = 1384.65 quails after 4 year has elapsed.
Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
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dr. chidi anagonye studied how self-esteem (high versus low) and success on a school project (passed/succeeded or failed) influences whether students attribute the cause of the outcome to themselves or others. high scores on the dependent variable mean they attribute the outcome to themselves and low scores mean they attributed the outcome to others. below are his results. look at the graph below and select the statement that is most true about the graph:
As per dr. Chidi Anagonye, self esteem and success on school project results in low distinctiveness.
What is all about the attribution theory?The focus of attribution theory is on how people make sense of events and how this influences their perceptions and actions. Heider (1958) was the first to suggest a psychological theory of attribution, but Wener and his colleagues (e.g., Jones et al., 1972; Wener, 1974, 1986) created a theoretical framework that has grown to be a significant research paradigm in social psychology. Attribution theory assumes that people try to figure out why people do what they do, i.e., attribute causes to behavior. If someone is trying to figure out why someone else did something, they could assign one or many reasons to that action. An attribution is based on a three-stage process: (1) the person must notice or watch the activity, (2) the person must think that the behavior was done purposefully.
Education, legislation, clinical psychology, and the field of mental health have all seen extensive use of Wener's thesis. Achievement and one's self-concept are closely related. Causal attributions control how we feel about success and failure, according to Wener (1980). For example, one is unlikely to feel satisfaction in achievement or competence while obtaining a 'A' from a professor who only delivers that grade, or when defeating a tennis opponent who always loses... An 'A' from a teacher who gives few high grades, on the other hand, or a victory over a highly rated tennis player after a lot of practice has a big impact. Higher self-esteem students and students who perform well academically have a tendency to credit success to internal, stable, uncontrolled causes.
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Find the 4th term in the expansion of (a+b)^{10} in simplest form.
given cos(-x) = 3/4 and tanx= √7/3, find sin(-x)
The trigonometric function sin(-x) is -√7/4 when cos(-x) = 3/4 and tanx= √7/3
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
cos(-x) =cosx= 3/4
and tanx=
We need to find sin(-x)
tank is ratio of sinx and cosx
We know that tanx=sinx/cosx
√7/3=sinx/3/4
Apply cross multiplication
sinx=√7/3.3/4
sinx=√7/4
sin(-x)=-sinx=-√7/4
Hence, Trigonometric function sin(-x) is -√7/4 when cos(-x) = 3/4 and tanx= √7/3
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help guys this was from a while back so i don’t remember
Answer: x = 3
Step-by-step explanation: both expressions are equal to each other because the angles are opposite of each other, so you would set the expressions equal to each other and solve from there.
set equations = to each other: 6x - 7 = 4x - 1
add 7 to the other side: 6x = 4x + 6
subtract 4x to the other side: 2x = 6
divide both sides by 2: x = 3
you have a set of points with a y:x constant ratio of 3:7. what is the equation of the line passing through these points?
The equation of the line passing through these points i.e (7,3 ) and (14,6) is
y = (3/7) x or 3x - 7y = 0 ,
Which is linear equation of two variables.
A linear equation is an algebraic equation of the form y = mx + b , with only one constant and one first-order (linear) term, m is the slope and b is the y-intercept.
We have given that,
the ratio of y and x is y : x = 3 : 7
So the ratio of x and y can be expressed as ,
x : y = 7 : 3 ( reverse order)
So let's consider two points as
(x₁, y₁)=(7 , 3) and (x₂, y₂) = (14 , 6)
The equation of the line passing through these points will be,
( y - y₁ )/ (y₂ - y₁) = (x - x₁)/(x₂ - x₁)
=> (y - 3)/(6-3) = (x - 7)/(14 - 7)
=> (y - 3)/3 = (x - 7)/7
=> 7(y - 3) = 3( x - 7)
=> 7y - 21 = 3x - 21
=> 7y = 3x
=> y = (3/7) x
Hence, y = (3/7) x is required equation of line.
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alyssa finds the measurement of a rock sample to be 16 grams. what does she now know about the rock?
Alyssa knows the mass of the rock is 16 grams.
Measurement is a method in which the property of an object are determined by comparing them to the standard quantity.
It is important metric to express any quantity of object , things.
Some basic type of measurement are:
Time = Seconds , minutes and hours are some units which are used to represent timeLength = units are meter , centimeter etc.Weight = units included grams , kilogram , tons etc.Temperature = units for temperature is centigrade , FahrenheitAccording to the question
It is given that Alyssa finds the measurement of a rock sample to be 16 grams
Here, 18 grams is the mass of the rock
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Find the least common denominator (LCD) of 11/10 and 4/15 .
I think its 30!
Please let me know if its right!
a researcher designs a study where participants are randomly assigned to one of the two groups--one is run at night and one is run during the day. each participant in each group is then measured twice, under two different conditions, red and blue. this is best described as a(n) design.
The correct answer is Independent groups design.
Given that,
Participants in a study are randomly allocated to one of two groups; one group is run at night, while the other is run during the day. Then, each member of each group is measured twice under the red and blue conditions, respectively.
Independent groups design.
Independent measures style, conjointly called between groups is an experimental style wherever completely different participants are employed in every condition of the experimental variable. This suggests that every condition of the experiment includes a distinct cluster of participants.
Therefore, the correct answer is Independent groups design.
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Which of these tables (if any) represent a proportional relationship?
Answer: none of them
Step-by-step explanation:
they are not equal and dont look right i dont think im sorry if i get it wrong
a company produces steel rods. the lengths of the steel rods are normally distributed with a mean of 155.1-cm and a standard deviation of 1.4-cm. for shipment, 30 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is greater than 155.8-cm. p(m > 155.8-cm)
The probability that the average length of a randomly selected bundle of steel rods is 155.8 then P = 0.174 cm
Given sample size 'n' = 30 steel rods
Mean of the Population = 155.1 cm
Standard deviation of the Population = 1.4 cm
Given x⁻ be the random variable of Normal distribution
Let x₁⁻ = 155.8cm
The probability that the average length of a randomly selected bundle of steel rods is 155.8-cm.
P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)
= P(Z <Z₂) - P(Z<Z₁)
= 0.5 +A(1.629) - (0.5 +A(0.7541)
= A(1.629) - A(0.7541)
= 0.4474 - 0.2734
= 0.1
The probability that the average length of a randomly selected bundle of steel rods is 155.8 cm = 0.174
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a rhombus has side lengths of 10 and a diagonal measuring 12. what is the length of the other diagonal?
When the other diagonal is 12 inches long and the side is 10 inches long, the diagonal is 16 inches long.
What is rhombus?A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths. A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposing sides of a parallelogram are equal. A quadrilateral with four equal sides that has the shape of a diamond is called a rhombus. In everyday life, rhombus-shaped objects can be seen.
Here,
The length of side=10 inch
The length of diagonal= 12 inch
Let the length of diagonal be x.
6²+(x/2)²=10²
(x/2)²=64
x/2=8
x=16 inch
The length of diagonal is 16 inch when other diagonal measure 12 inch and side measures 10 inch.
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If X be a random variable taking values x1,x2,x3,….,x???? with probabilities P1,P2,P3,…..P????, respectively. Then, Var (x) is equal to …….. .
Using the probabilities the variance of x represented by Var(x) is equal to var(X) = E(X²) – [E(X)]² , where E(x) represents the expected value of x.
Given the probabilities of the random variable given by x₁ , x₂ , x₃ ,... has the probabilities of P₁ , P₂ , P₃ ...
We know that Variance is given by the formula:
[tex]Var(x) = \sigma^2=\sum_{i=1} ^n (x_i-\mu)^2px_i)\\\\=\sum_{i=1} ^n(x_i^2-2x_i+\mu^2)\\\\=E(x^2)-[E(x^2)][/tex]
We know that expected value is denoted by E(x) .
Hence the variance is denoted by var(X) = E(X²) – [E(X)]² .
In probability theory and statistics, variance is the predicted squared deviation of a random variable from its population mean or sample mean.
The scattering, or how far apart from the mean a bunch of data are from one another, is measured by variance. A few ideas that involve variance are descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling.
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Determine the value of "z" in the equation
z + (14 - 5i) = 9 + 2i
Answer:
z = − 5 + 7i
Step-by-step explanation:
z + 14 - 5i = 9 + 2i
Subtract 14 from both sides.
z - 5i = 9 + 2i -14
Subtract 14 from 9 to get -5.
z - 5i = -5 +2i
Add 5i to both sides.
z = -5 + 2i + 5i
Combine real and imaginary parts.
z = -5 + (2+5)i
Add 2 to 5.
z = -5 + 7i
Hope this helps!
Answer:
7i - 5
Step-by-step explanation:
z + (14 - 5i) = 9 + 2i
=> z + 14 - 5i = 9 + 2i
=> z = 9 + 2i + 5i - 14
=> z = 7i - 5
The mean number of years Americans work before retiring is 34. Which of the following will be a Type I error? (A) We conclude that the mean is 34 years when it really is not 34 years. (B) We conclude that the mean is 34 years when it really is 34 years. (C) We conclude that the mean is not 34 years when it really is 34 years. (D) We conclude that the mean is not 34 years when it really is not 34 years.
The error of type I is Despite the fact that the median age is 34, we get to the conclusion that it is not. The appropriate response to this question is option C.
A Type I error is rejecting the null hypothesis when it is actually true. It involves making inferences from statistically significant outcomes even though they might have happened by chance or for other reasons.
The probability of error will depend on the significance level (alpha or) that you choose. In order to determine the statistical likelihood of receiving your results, you established that number at the outset of your investigation (p-value).
The usual level of significance is 0.05 or 5%. The likelihood that the null hypothesis is true is only
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one leg of a right triangle has length 17 inches; the hypotenuse is 31.4 inches. what is the length of the other leg of the triangle?
The length of the other leg of the triangle is 26.4 inches.
Here, we are given that one side of a right angled triangle has length 17 inches and the hypotenuse is 31.4 inches.
Now, the Pythagoras theorem states that, in a right angled triangle, the following equation holds-
[tex]hypotenuse^{2} =height^{2} +base^{2}[/tex]
we already know two of these values so we can calculate the 3rd one.
Let the length of the 3rd side be x inches.
then, substituting the values in the Pythagoras equation, we have-
[tex]31.4^{2}[/tex] = [tex]17^{2}+ x^{2}[/tex]
985.96 = 289 + [tex]x^{2}[/tex]
[tex]x^{2}[/tex] = 985.96 - 289
[tex]x^{2}[/tex] = 696.96
x = 26.4
Thus, the length of the other leg of the triangle will be 26.4 inches.
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suppose i want to represent the following set of words using a phone lattice: {cattle, battle, cattles,battles}. what is the minimum number of states that i require?
⇒We can represent this phone lattice in two minimum number of ways and states to represent it.
What is phone lattice?
A state diagram, or directed network in which each node stands for a state of a system, is what is known as a phone lattice. Each edge of a phone lattice has exactly one letter. A word is represented by each route from the start node to the final/end node.
The minimum no. Of states in using a phone lattice to the given requirement is two.
We can represent this phone lattice in two minimum number of ways and states to represent it.
A dual lattice may be defined as the inclusion on the extents. We represent a lattice using a Hasse diagram of the given partial ordering on all the maximal rectangles, transitivity and reflexivity arcs that are omitted. Concepts in the given system are often known as elements of this lattice.
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Yesterday, Ralph took a math test and a history test. The sum of his scores was 170. He scored
10 points higher on his math test than on his history test. What score did Ralph receive on
his math and history tests?
Answer:ralph got an 90 on his math test and a 80 on his history test
Step-by-step explanation:
so i divided 170 and that = to 85 so i took the two 5 from the two 80 and added it to the 80 for math
This is a Linear equation.
Based on the slope (-8) of the linear equation, the amount Austin pays each week, which is $8.
What is a Linear Equation?A linear equation can be defined as y = mx + b, which shows the relationship between variable x and variable y, where we have the following:
Slope value = m = change in y / change in x [this is also the unit rate]
Y-intercept of initial value = b.
Given that the table represents a linear equation, find the slope or unit rate of the linear equation, which represents the amount Austin pays every week.
Slope (m) = change in L / change in t
Using two pairs of values from the table, (2, 24) and (4, 8):
Slope (m) = change in L / change in t = (24 - 8) / (2 - 4) = 16/-2
Slope (m) = -8
This implies that, Austin pays $8 every week.
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the national center for health statistics has found that there is a 0.41% chance that an american citizen will die from falling. what is the probability that you will not die from a fall? (round to the nearest hundredth of a percent)
If there is a 0.41% chance that an American citizen will die from falling, then the probability that you will not die from a fall is 99.59%
The chances of an American citizen will die from falling = 0.41%
The probability is the ratio of number of favorable outcomes to the total number of outcomes
The equation will be
The probability = Number of favorable outcomes / Total number of outcomes
The probability that you will not die from a fall = 1 - The chances of an American citizen will die from falling
Substitute the values in the equation
The probability that you will not die from a fall = 1 - 0.41
= 99.59%
Therefore, the probability that you will not die from a fall is 99.59%
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