We do know that he needs to average at least 82 on all of his test quizzes combined in order to achieve an average of at least 75 overall. The correct answer is B) x > 82.
To find out what scores Ben needs to achieve an average of at least 75 on all of his quizzes and tests, we can use the following formula:
(total score on all quizzes and tests) / (number of quizzes and tests) >= 75
We know that Ben has taken four quizzes so far, with scores of 62, 77, 73, and 81. That means his total score on those quizzes is:
62 + 77 + 73 + 81 = 293
To get an average of at least 75, Ben will need a total score of:
75 * 5 = 375
This includes his previous total score of 293, so he needs to score a total of:
375 - 293 = 82
on his test quizzes. Since we don't know how many test quizzes there are or how much each one is worth, we can't determine exactly what score Ben needs on each quiz. However, we do know that he needs to average at least 82 on all of his test quizzes combined in order to achieve an average of at least 75 overall. Therefore, the correct answer is B) x > 82.
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The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2 x 2 x 2 x 2 x 3
Prime factorization of 72: 2 x 2 x 2 x 3 x 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3
What is Ryan’s error?
Answer:
there will only be one 3
Step-by-step explanation:
see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .
The sum of two numbers is 23. Their difference is 1. whats the smaller number
Find the value of x that makes m || n
Answer:
Step-by-step explanation:
The value of x and 2x must add to 180 to make the lines parallel
x + 2x = 180 Combine
3x = 180 Divide by 3
3x/3 = 180/3
x = 60
Which numbers have line symmetry?
2, 3, 4 7,8,9
2ײy³+ 15z⁴= z²+ 69x²
solve by factoring
Answer:
x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2
hope this helped
Answer:
combine like terms
Step-by-step explanation:
u wont geta proper answer but u will get a equation that i smaller
Given the discrete uniform population: 1 fix} = E El. elseweltere .x=2.4ifi. Find the probability that a random sample of size 511, selected with replacement, will yield a sample mean greater than 4.1 but less than 4.11. Assume the means are measured to the any level of accuracy. {3 Points}.
The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.
To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.
In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.
The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.
To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.
Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.
The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.
To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).
P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
= P(X1 + X2 + ... + X511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)
Since each value of X is 2.4, we can rewrite the probabilities as:
P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
= P(2.4 * 511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)
Now, we can calculate the probabilities:
P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)
Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:
P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
= 1 - 1
= 0
Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.
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The value of a home is $899,000 and increasing in value at a rate of 1% per year. Use an exponential growth function to find the approximate value of the home in 12 years.
Answer:
$1012993.2
Step-by-step explanation:
Given data
Cost of home V= $899,000
Rate of increase= 1%
Time= 12 years
The exponential growth function is expressed as
A=V(1+r)^t
A=899000(1+0.01)^12
A= 899000(1.01)^12
A= 899000*1.1268
A=$1012993.2
Hence the cost of the home will be $1012993.2
Consider the curve in R2 defined by the parametric equations x=t^2,y=−1/4t t>0. (a) Determine the points on the curve, if there are any, at which the tangent line is parallel to the line y=x. (Hint: Vectors parallel to y=x are ones whose components are equal.) (b) Determine the points on the curve at which it intersects the hyperbola xy=1.
(a) The curve defined by the parametric equations x = t^2, y = -1/4t (t > 0) represents a parabolic trajectory, the point of intersection between the curve and the hyperbola is (4∛2, -1/(4∛2)).
To find the points on the curve where the tangent line is parallel to the line y = x, we need to determine when the slope of the tangent line is equal to 1.
The slope of the tangent line is given by dy/dx. Using the chain rule, we can calculate dy/dt and dx/dt as follows:
dy/dt = d/dt(-1/4t) = -1/4
dx/dt = d/dt(\(t^2\)) = 2t
To find when the slope is equal to 1, we equate dy/dt and dx/dt:
-1/4 = 2t
t = -1/8
However, since t > 0 in this case, there are no points on the curve where the tangent line is parallel to y = x.
(b) To determine the points on the curve where it intersects the hyperbola xy = 1, we can substitute the parametric equations into the equation of the hyperbola:
\((t^2)(-1/4t) = 1 \\-1/4t^3 = 1\\t^3 = -4\\\)
Taking the cube root of both sides, we find that t = -∛4. Substituting this value back into the parametric equations, we get:
x = (-∛4)^2 = 4∛2
y = -1/(4∛2)
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Choose the slope and y-intercept that
correspond with the graph.
One of the following statements regarding control charts is NOT true: A. A process is in control if it is capable of meeting customer specifications B. A process may be in control but not capable of meeting customer specifications C. A process may be capable of meeting customer specifications but not in control D. A process may be in control and be capable of meeting customer specifications
The statement that is NOT true regarding control charts is A. A process is in control if it is capable of meeting customer specifications.
A process being in control means that it is stable and predictable, with the variation due to common causes only. It does not necessarily mean that it is capable of meeting customer specifications. A process may be in control but have too much variability to meet the specifications, indicating that it needs improvement. Similarly, a process may be capable of meeting customer specifications but not in control if it is unstable and unpredictable due to special causes of variation. Therefore, control charts are used to monitor and improve processes to make them capable of meeting customer specifications while being in control.
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use the coordinates of the plotted points to complete the calculation below pay attention to negative find the slope of this line is
Answer:
-1
Step-by-step explanation:
2-3= -1
3-2=1
-1/1=-1
i need help with this please!
Volume of a sphere:
V = (4/3)πr³
Circumference of a sphere:
C = 2πr
Surface area of a sphere:
A = 4πr²
above are important sphere related equations
so to find the surface area plug in values for equation
A= 4πr²
= 4 × 3.14 × 5.4 ×5.4
= 366.25 mm²
Write an equation of a line in slope-intercept form, which is passing through the point (8, −6) and is parallel to another line, whose slope is −2
Answer:
y=-2x+10
Step-by-step explanation:
slope intercept is written as y=mx+b
the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.
hope this helps!
Answer:
y=-2x+10
Step-by-step explanation:
Hello there!
First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)
Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b
Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:
-6 = -2*8 + b
-6 = -16 + b
(add 16 to both sides)
10 = b (or b=10)
Now that we have all of the parts we need, our answer will be y=-2x+10
Hope this helped!
The flow rate of any quantity into or out of a control volume depends on the flow the control surface. Time Mass Acceleration Velocity relative to
The flow rate of any quantity into or out of a control volume depends on the duration of time over which the flow occurs, the mass being transported, the acceleration of the flow, and the velocity of the flow relative to the control surface. These factors interact to determine the overall flow rate.
The flow rate of any quantity into or out of a control volume depends on several factors related to the flow at the control surface. These factors include time, mass, acceleration, and velocity relative to the control surface.
1. Time: The flow rate is influenced by the duration of time over which the flow occurs. For example, if water flows into a container for 1 minute, the flow rate will be different compared to if it flows for 10 minutes. The longer the duration, the larger the overall flow rate.
2. Mass: The amount of substance being transported is another important factor. For instance, if you have a larger amount of gas flowing into a control volume compared to a smaller amount, the flow rate will be greater for the larger mass.
3. Acceleration: The flow rate can also be affected by changes in acceleration. If the flow is accelerating, such as water flowing down a hill, the flow rate can increase. Similarly, if the flow is decelerating, such as water flowing uphill, the flow rate can decrease.
4. Velocity relative to the control surface: The velocity of the flow relative to the control surface also plays a role. For example, if a car is driving into a tunnel, the flow rate of the cars entering the tunnel will be influenced by the velocity at which they are traveling. A higher velocity will result in a larger flow rate.
To summarize, the flow rate of any quantity into or out of a control volume depends on the duration of time over which the flow occurs, the mass being transported, the acceleration of the flow, and the velocity of the flow relative to the control surface. These factors interact to determine the overall flow rate.
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read the following bar graph and answer the following related questions: 1:2 or 2:3 or 3:4 or 1:6.
Jayden earned 85% on a quiz that had 60 points. How many points did Jayden earn?
Answer:
Step-by-step explanation:
60*85%= 51
He got 51 points.
Answer: i think he got 51 right out of 60
Step-by-step explanation:
x +1 = -5
Graphing linear
Answer:
x= -6
Step-by-step explanation:
Solve this and show your work!
Answer:
a = 1080/7 or 154.2857143
Step-by-step explanation:
180 = a + (1/6)a
180 = (7/6) a
a = 180/(7/6)
a = 1080/7
or 154.2857143
Answer:
a = 150
Step-by-step explanation:
A straight angle measures 180°.
The measures of the smaller and larger angles add to 180°.
The smaller angle measures 1/6 of 180°.
The measure of the smaller angle is 1/6 × 180° = 180°/6 = 30°
We are told the larger angle measures a.
a + 30° = 180°
a = 150°
Answer: a = 150
Evaluate the function at the given values of the independent variable. Simplify the results.f(x) = 3 cos 2x(a) f(0)(b) f(-pi/4)(c) f(pi/3)(d) f(pi)
The function evaluated at the given values of the independent variable is:
f(0) = 3
f(-pi/4) = 0
f(pi/3) = -3/2
f(pi) = 3
To evaluate the function f(x) = 3 cos 2x at the given values of the independent variable, we simply substitute those values into the function and simplify the results.
(a) f(0) = 3 cos 2(0) = 3 cos 0 = 3(1) = 3
(b) f(-pi/4) = 3 cos 2(-pi/4) = 3 cos(-pi/2) = 3(0) = 0
(c) f(pi/3) = 3 cos 2(pi/3) = 3 cos(4pi/6) = 3(-1/2) = -3/2
(d) f(pi) = 3 cos 2(pi) = 3 cos(0) = 3(1) = 3
Therefore, the function evaluated at the given values of the independent variable is:
f(0) = 3
f(-pi/4) = 0
f(pi/3) = -3/2
f(pi) = 3
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1. A survey was taken at Bernal Middle School to find out who their favorite teacher was. The survey asked 150 students and 90 of those students said Ms. Lancaster. What percent of the people surveyed voted Ms. Lancaster as their favorite teacher?
2. At the Mendoza's Thanksgiving there were 15 pecan pies. If 25% of there were eaten, how many pies were consumed?
3. 540 people were asked what their favorite ice cream flavor was and 45% of them chose chocolate. How many people chose chocolate?
1. 90/150 students voted Ms. Lancaster as their favorite teacher. If you divide 90 by 150, you get 0.6. 0.6 = 60% of students.
2. 25% of the 15 pecan pies were consumed, meaning 1 out of every 4 was eaten. 15/4, or 15 * 0.25 = 3.75 pies were consumed.
3. 45% of the 540 people said chocolate was their favorite ice cream flavor. To find the number of people, you can multiply 540 * 0.45 = 243 people chose chocolate.
Question 8(Multiple Choice Worth 2 points) (09.06 LC) How many decimeters are in 3.6 millimeters? 0.036 decimeters O0.36 decimeters O 36 decimeters O 360 decimeters
The number of decimeters in 3.6 millimeters is 0. 0036 decimeters. Option D
How to convert the unitsConversion of units is simply defined as the conversion that is between different units of measurement for a particular quantity.
it is carried out mostly through multiplicative conversion factors.
It may involve multiple steps of multiplication or division by a conversion factor.
From the information given, we have that;
1 decimeter = 1000 millimeters
Then, x decimeter = 3.6 millimeters
Cross multiply the values
x = 3.6/1000
divide the values
x = 0. 0036 decimeters
Hence, the value is 0. 0036 decimeters
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help me with calculus
Answer:
(2, -3)
General Formulas and Concepts:
Algebra I
Reading a coordinate planeCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution to the system of equations.
Factors of 24 add up to -12
Answer:
The common factors of 12 and 24 are 1,2,3,4,6 and 12. What times what gives 24 as result? One time of 24 equal to 24, Two times of 12 is 24, Three times of 8 are 24, Four times of 6 are 24. Put your understanding of this concept to test by answering a few MCQs.
Step-by-step explanation:
Hope this helps!
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. given the directrix and the focus what is the vertex form of the equation of the parabola? the vertex form of the equation is .
The required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)
What is a parabola?A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line is called a parabola.
Given that, a parabola has the directrix x=6 and the focus (3,-5), we need to find the equation of the parabola,
The standard form of a left-right parabola is given as:
4p(x-h) = (y-k)²
Focus = (p+h, k)
Therefore,
h+p = 3....(i)
Directrix =
x = h-p
h-p = 6...(ii)
Solving the equations we get,
h = 9/2
p = -3/2
Substitute into the standard form:
4p(x-h) = (y-k)²
4(-3/2)(x-9/2) = (y+5)²
-6(x-9/2) = (y+5)²
\(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)
Hence, the required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)
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The question is incomplete so, i solved for the attached question
which of the following numbers is the tenth number after the number that is before 10?
a.) 20
b.) 18
c.) 19
d.) 21
e.) 17
Answer:
c) 19
Step-by-step explanation:
Number before 10 = 9
tenth number after 9 = 19
Hope this helps!
The tenth number after the number that is before 10 is 19.
It should be noted that the number that is before 10 is 9.
Therefore, in order to solve the question, we have to add 9 to 10 which will be:
= 9 + 10
= 19
Therefore, the tenth number after the number that is before 10 is 19.
In conclusion, the correct option is C.
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The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make g(x).
A) Horizontal or vertical reflection.
B) Horizontal or vertical stretch.
C) Horizontal or vertical shift
D) Reflection across the line y=x
The function g(x) is a transformation of the parent function f(x) it was transformed to make g(x) - Horizontal or vertical stretch.
What is Horizontal or vertical stretch?Let's start thinking about vertical stretching and compression by simply looking at the graphs rather than starting with a ton of math.
Vertical stretching is the process of making a function taller by stretching it out vertically.
Vertical compression entails squashing the function down vertically, making it shorter.
Stretching and compression genuinely appear like that. It's time to start doing some math to figure out how to modify the function so that the graph can be stretched or compressed.
When the function that generated the original graph is changed in a way that necessitates a smaller x-value in order to get the same y-value, this is known as horizontal compression.
This happens when a constant c with a value larger than 1 is multiplied by the x-value of a function.
Hence, The function g(x) is a transformation of the parent function f(x) it was transformed to make g(x) - Horizontal or vertical stretch.
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PT.2 OF MY HW IT IS UNIT RATE PLEASE HELP!
Answer:
Car 1
Step-by-step explanation:
Answer: Car 1
Step-by-step explanation:
Notice that the speed of each car is the slope of the line that represents its average speed.
Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:
256/4 = 64
Therefore the average speed of Car 1 is 64 mi/h.
Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.
Therefore the average speed of Car 2 is 55 mi/h.
Answer: Car 1.
Guys pls help me!!!!!!
Answer:
B is the correct option .
Step-by-step explanation:
Hope it was helpful dear ;)
Which of the following statements correctly compares lines A and B?
Find the measure of angle FED and DEN. Thx!!!! :)
Answer:
m<FED=60, m<DEN=120
Step-by-step explanation:
m<FED=60
This is because <GEN and <FED are vertical angles.
Vertical angles are always congruent.
Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.
m<DEN=120
This is because <DEN and <GEN are supplementary.
Supplementary angles add up to 180 degrees.
We know this because a straight line is always 180 degrees.
So:
m<DEN+m<GEN=180
m<DEN+60=180
m<DEN=120