Answer:
840000 K's
Step-by-step explanation:
Since 5T = 1000K then T = 1000K/5 which is T = 200K. Multiply both sides by 4200 so you can find how many K's needed for 4200T's.
[tex]\displaystyle{4200T=200K\cdot 4200}\\\\\displaystyle{4200T=200K\cdot 4200}\\\\\displaystyle{4200T=840000K}[/tex]
Therefore, you need 840000 K's for 4200T's.
Answer:
840 000 K
Step-by-step explanation:
5 T = 1000k
4200 T = ? K
⇒4200 × 1000 ÷ 5
⇒840 000 K answer.
hope that helps...
help me quick please
Answer:
the percentage of change is 300%
Step-by-step explanation:
30 times 300% equals 90 more dollars which equals $120
7 of 8
→
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle.
C
A
(3a + 8)
0°
(60 - a)
O
(4a-38)
The diagram is not drawn to scale.
D
B
Answer:
smallest angle = 35
Step-by-step explanation:
the 3 angles lying on the straight line AOB sum to 180° , then
3a + 8 + 60 - a + 4a - 38 = 180 , that is
6a + 30 = 180 ( subtract 30 from both sides )
6a = 150 ( divide both sides by 6 )
a = 25
Then
3a + 8 = 3(25) + 8 = 75 + 8 = 83°
60 - a = 60 - 25 = 35°
4a - 38 = 4(25) - 38 = 100 - 38 = 62°
the smallest angle is 35°
In the diagram of a gate, the horizontal bars are parallel and the vertical bars are parallel. Find x and y.
Complete the explanation Indicating which postulates and/or theorems were used to find the values.
Answer:
x = 6y = 1718x +2y = 142 by the corresponding angles theorem, and3x +2y = 52 by the alternate interior angles theoremStep-by-step explanation:
Given a set of parallel lines with a transversal and angles marked, you want to find the values for x and y consistent with the markings.
SetupAlternate interior angles are congruent, so the marked acute angles have the same measure:
3x +2y = 52
Corresponding angles are congruent, so the marked obtuse angles have the same measure:
18x +2y = 142
SolutionSubtracting the first equation from the second gives ...
(18x +2y) -(3x +2y) = (142) -(52)
15x = 90
x = 6
The value of y can be found from either equation. We choose to use the first:
3(6) +2y = 52
9 +y = 26 . . . . . . . . divide by 2
y = 17 . . . . . . . . . subtract 9
Summaryx = 6y = 1718x +2y = 142 by the corresponding angles theorem, and3x +2y = 52 by the alternate interior angles theoremWhich of the following has a graph that is parallel to the graph of 2x-y=6 and passes through the point at (3, -2) ?
The function that has a graph that is parallel to the graph of 2x-y=6 is y = 2x - 8
How to determine the parallel line equation?From the question, we have the following parameters that can be used in our computation:
2x - y = 6
Subtract 2x from both sides of the equation
So, we have the following representation
-y = -2x + 6
Multiply both sides of the equation by -1
y = 2x - 6
Also, from the question;
We have the following points
The point is given as
Point = (3, -2) i.e. (x, y) = (3, -2)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 2
This means that the slope is 2
The slopes of parallel lines have the same values
This means that the slope of the other line is 2
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = 2
(x₁, y₁) = (3, -2)
So, we have
y = 2(x - 3) - 2
Open the brackets
y = 2x - 6 - 2
Evaluate the like terms
y = 2x - 8
Hence, the line has an equation of y = 2x - 8
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Step-by-step explanation:
function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____
function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds function of the organelle in question 4.
Using the diagram and your knowledge of biology, identify the following:
a. Organelle A_____
b. Substance A_____
c. Substance B_____
RT 2: Regents Review!
ections: Recall what you learned in unit 1 about designing an experiment to answer the ientist is interested in the effect that the amount of glucose given to a mitochondria n unt of carbon dioxide that is produced.
scientist sets up three containers: Container 1 holds 20 mitochondria and a 0.5 %cor ainer 2 holds 20 mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose mitochondria and a 1.0 % concentration of glucose; and Container 3 hondria and a 5.0 % concentration of glucose. 0.5 % concentration of glucose
A gardener measures the dimensions of a rectangular garden that is 9 meters wide by 12 meters long.
Answer: If you are looking for Area, use the formula A=length x width
If you are looking for Perimeter, use the formula P= 2(length x width)
Step-by-step explanation:
So, the Area would be A=12x9 = 108 meters squared (you're multiplying 12 meters and 9 meters, which squares the unit)
and the Perimeter would be P= 2(12x9) = 216 meters
STEM AND LEAF PLOT
what is the range in row A
Due tomorrow
Dec 4/2022
Answer:
C) 21
Explanation:
The middle column represents the tens place, while the column on the left is the ones place. Range is the difference between the highest number and the lowest number.
The lowest number for road A is 29, the 2 from the middle column and 9 from the left. The largest number is 50, the 5 from the middle column and 0 from the left column.
50 - 29 = 21
Write whether each is an expression, equation, or an inequality.
5. 3+5-7 = 1
6.3x-5t+4
7.9r+ 10_>14
8. 10+s≠4
The distribution of ages of licensed drivers shopping at the kalish county mall is normally distributed with mean 41 and standard deviation 7. A person will be selected at random. Round your answers to the nearest hundredth.
According to the given statement 16% is the probability that the person is age 48 or older.
How to interpret a standard deviation?A metric of a data set's deviation from the mean is referred to as "standard deviation" (or ""). While a high standard deviation indicates that the numbers are more spread, a smaller standard deviation suggests that the data are clustered around the mean.
Briefing:After calculating the z-score, we will look up the value in the table on page (718–719).
We will employ the equation, to determine the z-score.
z= x−μ / σ
How is x=48
μ=41
σ=7 the z-score is,
z = 48 - 47 /7
z = 7 / 7
z = 1
The value for z=1 in the table is 0.84130, meaning that the region below the curve represents people who are 48 years of age and older. However, we are looking at the area that represents people who are 48 years of age and older, hence,
1−0.8413
=0.1587≈0.16
=16%
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The complete question is-
The distribution of ages of licensed drivers shopping at the Kalish County Mall is normally distributed with mean 41 and standard deviation 7. A person will be selected at random. Round your answers to the nearest hundredth. What is the probability that the person is age 48 or older?
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23.4 is what percent of 288? Round to the nearest tenth..?
It should be noted that 23.4 is 8.1 percent of 288.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
23.4 is what percent of 288 will be calculated thus:
= 23.4 / 288 × 100
= 8.1%
The percentage is 8.1%.
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An electrician leans an extension ladder against the outside wall of a house so that it
reaches an electric box 28 feet up. The ladder makes an angle of 60° with the ground.
Find the length of the ladder. Round your answer to the nearest hundredth of a foot if
necessary.
A 31.2 foot ladder is required to access an electrical box that is 28 feet up.
Which ratios in trigonometry are there?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
A right-angled triangle is formed by the ladder, the distance from the wall to the ladder's base, and the distance from the ground to the electrical box.
The link between the sides and angles of a right-angled triangle is demonstrated through trigonometric ratios.
If x stands for the ladder's length, then:
28 feet/x for sin(64).
28 feet/sin x = (64)
x = 31.2 ft
Therefore, a 31.2-foot ladder is required to reach an electrical box that is 28 feet up.
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The points on the line are ____ of the equation.
Answer choices:
1) Solution
2) Points
3) Answers
Answer: 2/ Points
Step-by-step explanation:
The points can't make up the answer to the equation, so it can't be 3!
I don't think it is the solution, because on a table points are just points of an equation!
Which of the following is true regarding the relationship between a catalyst and a chemical reaction?
Catalysts are not specific to reactions.
A single catalyst can initiate many different types of reactions.
Many catalysts are often involved in a single chemical reaction.
Each reaction has its own unique catalyst.
The true option regarding the relationship between a catalyst and a chemical reaction is D. Each reaction has its own unique catalyst.
What is a catalyst?A catalyst is a substance that accelerates the rate of a chemical reaction without affecting the end product. They only have an effect on the rate of the reaction, not the yield.
Catalysts offer an alternative reaction pathway with lower activation energy than uncatalyzed reactions. It raises the frequency of collision and, as a result of the increased collision, lowers the activation energy of the reaction.
A chemical reaction is a process that converts one or more substances, known as reactants, to one or more different substances, known as products. Chemical elements or compounds are examples of substances.
A chemical reaction rearranges the constituent atoms of the reactants to produce various products. The properties of the products differ from the properties of the reactants. It is distinct from physical changes, which include state changes such as ice melting to water and water evaporating to vapor.
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PLS HELP Which has the greatest rate
After solving the equation the greatest rate is y=x. therefore, the correct option is D
What does rate in math mean?
In mathematics, the term 'rate' usually refers to a ratio or a comparison between two different values. It is defined as the amount of one quantity with respect to another, and is most commonly expressed as a fraction, with one value being the numerator and the other being the denominator. For example, "the rate of increase" is a comparison between the amount of increase in an item over time, such as the rate of inflation over a period of time. Additionally, the term 'rate' can also be used to describe a rate of change, such as the rate of growth of a population. In this case, the rate of change describes how quickly the population is changing over time.
Given that:
For rate we have to differentiate all the function first
A) y = 3/4x + 1
dy/dx = 3/4
B) y = -x
dy/dx = -1
C) y = 1/2x +2
dy/dx = 1/2
D) y = x
dy/dx = 1
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The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg ferur force (kN) results in the
following Minitab display. Using a 0. 05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size
of the car appear to have an effect on the force on the left femur in crash tests?
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-value
3 0. 6165 0,2055 0. 52 0. 670
Determine the test statistic.
The test statistic is
(Round to two decimal places as needed. )
Determine the P-value
Size
Do not reject H0 there is not sufficient evidence at a 0.05 significance level to warrant rejection of the claim that the four vehicle size categories have the same mean force on the left femur in crash tests.
What is Null hypothesis?
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.
from given outpout
Null hypothesis
H0:u1=u2=u3=u4
Alternative Hypothesis
H1: not all means are equal
Test statistic =F=0.49
P value=0.691
Pvalue>0.05 alpha level of significance
We fail to reject null hypothesis
Conclusion =
Do not reject H0 there is not sufficient evidence at a 0.05 significance level to warrant rejection of the claim that the four vehicle size categories have the same mean force on the left femur in crash tests.
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I'm having trouble understanding, please help.
Answer:
2x+y=-4
Step-by-step explanation:
y-2=-2(x+3) is in point-slope form.
Ax+By=C is standard form.
We have to bring x and y to the same side of the equation.
First, let's distribute.
y-2=-2(x)-2(3)
y-2=-2x-6
Next, we will add 2 to both sides to get rid of the -2 on the left side of the equation.
y=-2x-6+2
Then, we will add 2x to both sides to get rid of the -2x on the right side of the equation.
2x+y=-6+2
Now x and y are on the same side of the equation. We just need to simplify the right side.
2x+y=-4
This is the answer in standard form.
Answer:
2x + y = -4
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}[/tex]
Given equation:
[tex]y-2=-2(x+3)[/tex]
To write the given equation in standard form, collect the terms with variables on the one side of the equation (ensuring the term in x is positive), and collect the constants on the other side of the equation.
Distribute the right side of the equation:
[tex]\implies y-2=-2 \cdot x+(-2) \cdot 3[/tex]
[tex]\implies y-2=-2x-6[/tex]
Add 2x to both sides of the equation:
[tex]\implies y-2+2x=-2x-6+2x[/tex]
[tex]\implies y-2+2x=-6[/tex]
Add 2 to both sides of the equation:
[tex]\implies y-2+2x+2=-6+2[/tex]
[tex]\implies y+2x=-4[/tex]
Rearrange the left side to standard form:
[tex]\implies 2x+y=-4[/tex]
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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A jar contains 7 red jelly beans, 2 black jelly beans and 6 green jelly beans. you draw one jelly bean. what is the probability of drawing a red bean?
a. startfraction 7 over 15 endfraction
b. 1
c. startfraction 1 over 15 endfraction
d. startfraction 1 over 7 endfraction
7/15 is the probability of drawing a red bean .
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be expressed as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Total beans = 7 + 2 + 6 = 15
Now out of these 15 only 7 are red.
Probability is normally written as a fraction.
= 7/15
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Given the ytem of equation: 3x − 3y = 6 2x 6y = 12 Solve for (x, y) uing elimination
The values of x and y after solving the equations by using elimination method are :- 3 and 1
What is a system of equations?A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations.
What are the 3 ways to solve system of equations?There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method
In the above equations
Multiplying equation 1 with 2 and adding it to equation 2 we get
X= 3
Y=1
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find the slope and y intercept for the graph of : 2x+4y=20
you can either graph it or solve it algebraically
move the parts of the equation to fit the sctructure of y = mx + b
2x + 4y = 20
4y = -2x + 20
divide by 4 on both sides to get 'y' by itself
y = -2/4x + 20/4
y = -1/2x + 5
this equation tells you the 'y intercept' and the slope
slope; -1/2
y intercept; 5
Which equation represents a linear function?
Answer: the first one
Step-by-step explanation:
...
Consider the relation below
Is it a function?
Is the relation a one to one function?
Is the inverse of the relation below itself of function ?
Answer: Yes to all 3 questions
It is a function. The function is one-to-one.The function has an inverse, which is also a function.==================================================
Explanation:
VLT = vertical line test
HLT = horizontal line test
The given curve passes the VLT since it's not possible to draw a single vertical line through more than one point on the blue curve. Therefore, we have a function. Any input (x) leads to exactly one output (y).
The curve also passes the HLT through similar reasoning (use a horizontal line this time of course). This tells us the function is one-to-one. Each input leads to a unique output.
The keyword "unique" is important in the previous paragraph. It's needed to help set up the inverse. Since this curve passes the HLT, we know the inverse exists and it is a function. The inverse itself will pass the VLT.
Note: recall you reflect the given curve over the line y = x to form the inverse curve.
Please help!! Find the measure of numbered angles 1 and 2
Answer:
Step-by-step explanation:
the adjacent angles are congruent
angle 1 = 51°
the sum of the angles is 360°
51 · 2 + 2 · angle (2) = 360
102 + 2angle(2) = 360
2angle (2) = 360 - 102
2 angle (2) = 258
angle (2) = 258/2
angle (2) = 129°
angle (3) = 129°
PLEASE HELP ME WITH THIS QUESTION!!!
QUESTION ATTACHED BELLOW
THANKS IN ADVANCE!
Answer:
y ≥ 2x + 4
hope this may help!
a rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 3 square feet. find the length of the rectangle.
The length of the rectangle is found as 7 feet.
Explain the properties of rectangle?It consists of four vertices and four sides. Every vertex has a 90 degree angle.A quadrilateral is a rectangle.The opposing sides are level and parallel to one another.90 degrees is the angle of each interior.360 degrees is the total of all interior angles.For the stated question;
Let the length and the width of the rectangle be 'L' and 'B'.
Then, width is given as;
W = L-2
Area = 35 square feet
A = LW = 35
Put the value of W
L(L-2) = 35
L² -2L - 35 = 0
L² -2L - 35 =0
(L-7)(L+5) = 0
L > 0 so, L=7 is solution
Thus, the length of the rectangle is found as 7 feet.
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The correct question is-
A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 35 square feet. find the length of the rectangle.
what are two square roots of 121
Answer:
11
Step-by-step explanation:
11*11 = 121
Need help with this
Answer:
11.8 m
Step-by-step explanation:
this makes up a right triangle so we can use the Pythagorean theorem
a^2+b^2=c^2
a- height/leg a
b- length/ leg b
c- hypotheneus
since we are tying to find b we can isolate b^2 on one side of the equation
a^2+b^2=c^2
-a^2. -a^2
b^2=c^2-a^2
And now we can plug in values
b^2=36^2-34^2
b^2=1296-1156
b^2=140
Square root both sides
b=11.8
Hopes this helps please mark brainliest
Please help, I don't really understand.
Answer:
Step-by-step explanation:
The standard form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept. Let's rewirite the given equation to match this format:
y = 6 - 6x
y = -6x + 6
The slope is -6 and the y-intercept is 6. The slope tells us the angle the line is taking. A negative slope such as this means that the line is angled down as it goes from left to right. The size of the number tells us just how steep the line is.
All parallel lines have the same slope. Any line with the format of y = -6 + b will be parallel. See the attached graph for proof. The graph shows several parallel lines to y=-6+b, including the three top lines, all with the same slope, but with three different values for b: +6, 0, and +10.
Perpendicular lines have a slope that is the negative inverse of the reference line, in this case y = -6x + 6. A perpendicular line will have a slope of -(1/-6) or 1/6 [the negative inverse of -6]. Perpendicular lines will have the form y = (1/6)x + b. See the attached graph. The three bottom equations are all perpendicular to y=-6x+6. All have the same slope (1/6), but differnt y-intercepts (b = 0, 6, and 10). The y-intercept numbers for both the parallel and perpendicular lines were randomly chosen, simply to illustrate the possibilities.
In summary,
"Slope of a parallel line" is -6, and
"Slope of perpendicular line" is (1/6)
Please help it about calculus
The limit of the function [[3 · cos (2 - 2x) - 3 · x] / (2 · x - 2)] when x tends to 1 is - 3 / 2.
How to find the limit of a function
In this problem we must determine the limit of a function, that is, the value to which the function goes when x tends to 1. This can be done by means of limit properties for polynomial and trigonometric limits.
First, write the limit:
[tex]\lim_{x \to 1}[/tex] [[3 · cos (2 - 2x) - 3 · x] / (2 · x - 2)]
Second, use limit properties and algebra properties:
[tex]\lim_{x \to 1}[/tex] [[3 · cos (2 - 2x) - 3 + 3 - 3 · x] / (2 · x - 2)]
[tex]\lim_{x \to 1}[/tex] [[3 · cos (2 - 2x) - 3] / (2 · x - 2)] + [tex]\lim_{x \to 1}[/tex] [(3 - 3 · x) / (2 · x - 2)]
(3 / 2) · [tex]\lim_{x \to 1}[/tex] [[1 - cos (1 - x)] / (1 - x)] + (3 / 2) · [tex]\lim_{x \to 1}[/tex] [(1 - x) / (x - 1)]
Third, use polynomial and trigonometric limits:
(3 / 2) · 0 + (3 / 2) · (- 1)
Fourth, simplify the result:
- 3 / 2
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Write a linear equation in slope intercept form to represent the number of miles each car can drive on one tank of gas. State the domain and range.
car #1: y=28x+607.6
car #2: y=80x+568
car #3: y=20x+528.4
How do I find my domain and range for these equations?
The domain and range of the equations for the three cars using the hypothetical condition that x represents additional gas added to the tank are;
Car #1
Domain; 0 ≤ x < ∞
Range; 607.8 ≤ y < ∞
Car #2
Domain; 0 ≤ x < ∞
Range; 568 ≤ y < 0
Car #3
Domain; 0 ≤ x < x
Range; 528.4 ≤ y < ∞
What is an equation?An equation is a statement that indicates that two expressions be equivalent by joining them with an equals sign.
The specified equations for three cars are;
Car #1: y = 28·x + 607.6
Car #2: y = 80·x + 568
Car #3: y = 20·x + 528.4
The domain of a function is the set of possible input values (x-values) of the function
The range is the set of possible output values (y-values) of the function
Let y represent the number of miles driven and let x represent the additional gas added to the car, we get;
The domain of car #1
The additional number of gallons of gas car #1 can drive receive has a domain of 0 ≤ x < ∞
The range for car #1
The total number of miles car #1 can drive = 607.6 ≤ y < ∞
The domain for car #2
The additional amount of gas car #2 receives is; 0 ≤ x < ∞
The range for car #2
The distance car #2 can drive is; 568 ≤ y < ∞
The domain for car #3
The additional volume of gas car #3 receives is; 0 ≤ x < ∞
The range of the function for car #3
The number of miles car #3 can drive is; 528.4 ≤ y < ∞
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suppose there are 10 research teams working independently from different data gathered in separate and independent random samples. each team performs an identical hypothesis test with 80% power to detect an alternative of interest with a certain effect size. in the case that this certain alternative of interest is true, what is the probability that at most 1 of the teams will make a type ii error?
The probability of at most one team making a Type II error is 0.3651.
1. The probability of a Type II error for a single team is 0.2 (since the power of the test is 0.8).
2. The probability of all 10 teams making a Type II error is 0.2^10. This is because the probability of each individual team making a Type II error is 0.2 and the probability of all 10 teams making a Type II error is the product of the individual probabilities (0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 * 0.2 = 0.2^10).
3. The probability of at least one team making a Type II error is 1 - 0.2^10. This is because the probability of at least one team making a Type II error is the complement of the probability of all 10 teams making a Type II error (1 - 0.2^10).
4. The probability of at most one team making a Type II error is 1 - (1 - 0.2^10). This is because the probability of at most one team making a Type II error is the complement of the probability of at least one team making a Type II error (1 - (1 - 0.2^10)).
5. The probability of at most one team making a Type II error is 0.3651.
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