Maryam answered 26 questions correctly and got 4 questions wrong on the test with 30 questions.
How many questions did Maryam answer incorrectly?To find how many questions Maryam got wrong, we need to first determine how many questions she got right. Since she scored 86.7%, we can multiply the total number of questions by the percentage to get the number of questions she answered correctly.
86.7% of 30 questions is (86.7/100) * 30 = 26.01 questions.
Since Maryam cannot have answered a fractional number of questions correctly, we round down to the nearest whole number. Thus, she answered 26 questions correctly.
To find out how many questions she got wrong, we can simply subtract the number of questions she got right from the total number of questions. Therefore, Maryam got 30 - 26 = 4 questions wrong.
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help this is my last try!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
2^8=256
Step-by-step explanation:
Multiply the exponents and simplify
How do negative exponents impact the value of a number?
Answer:
A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
solve 2 2/3 x 3 3/5 using an area model of 4 squares.
Answer:
9 3/5 is the answer it's in photo above how to
"It is not only eminent scientists who can derive pleasure through work, nor is it only leading
statemen who can derive pleasure through advocacy of a cause. The pleasure of work is open
to anyone who can develop some specialised skill, provided that he can get satisfaction from
the exercise of his skill without demanding universal applause."
—Bertrand Russell, The Conquest of Happiness.
Discuss the statement above with reference to a type of work that you consider to be significant.
In your discussion, you should also make reference to one relevant theory (Aristotle, John
Locke, or Émile Durkheim).
The quote by Bertrand Russell emphasizes that deriving pleasure from work is not limited to eminent scientists or leading statesmen.
Instead, anyone who possesses specialized skills and finds satisfaction in exercising those skills can experience the pleasure of work. However, it is important not to seek universal applause or recognition as a requirement for finding fulfillment in one's work. In the following discussion, I will focus on the type of work that I consider significant, and I will reference the theory of Aristotle.
One type of work that I find significant is teaching. Teaching involves imparting knowledge, shaping minds, and contributing to the growth and development of individuals. It is a profession that requires specialized skills such as effective communication, adaptability, and the ability to facilitate learning.
In the context of Aristotle's theory, teaching can be seen as fulfilling the concept of eudaimonia, which is the ultimate goal of human life according to Aristotle. Eudaimonia refers to flourishing or living a fulfilling and virtuous life. Aristotle believed that eudaimonia is achieved through the cultivation and exercise of our unique human capacities, including our intellectual and moral virtues.
Teaching aligns with Aristotle's theory as it allows individuals to develop their intellectual virtues by continuously learning and expanding their knowledge base. Furthermore, it enables them to practice moral virtues such as patience, empathy, and fairness in their interactions with students and colleagues.
According to Aristotle, the pleasure derived from work comes from the fulfillment of one's potential and the realization of their virtues. Teachers experience satisfaction and pleasure when they witness their students' progress and success, knowing that they have played a role in their growth. The joy of seeing students grasp new concepts, overcome challenges, and develop critical thinking skills can be immensely gratifying.
Furthermore, Aristotle's concept of the "golden mean" is relevant to finding pleasure in teaching. The golden mean suggests that virtue lies between extremes. In the case of teaching, the pleasure of work comes not from seeking universal applause or excessive external validation but from finding a balance between personal fulfillment and the genuine impact made on students' lives.
In conclusion, teaching is a significant type of work where individuals can find pleasure and fulfillment by utilizing their specialized skills and contributing to the growth of others. Aristotle's theory aligns with the notion that the joy of work comes from the cultivation and exercise of virtues, rather than solely seeking external recognition or applause. The satisfaction derived from teaching stems from the inherent value of the profession itself and the impact it has on students' lives, making it a meaningful and significant form of work.
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Suppose the annual amount of snowfall (in megatons) accumulated in a lake follows a gamma distribution with 10 and B= 2. Find the mean annual amount of snowfall accumulated in this lake (the answer is an integer)
To find the mean annual amount of snowfall accumulated in the lake, we need to use the information given: the gamma distribution has a shape parameter (α) of 10 and a scale parameter (β) of 2.
The mean of a gamma distribution can be calculated using the formula:
Mean = α * β
In this case, α = 10 and β = 2. Plugging these values into the formula:
Mean = 10 * 2 = 20
So, the mean annual amount of snowfall accumulated in the lake is 20 megatons.
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a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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100 POINTS! Write a system of three linear equations with three variables each that has the unique solution (1,2,-1). Write your equation in standard form. Use the variables x,y, and z with non-zero coefficients
Answer:
Three linear equations that has a unique solution (1,2,-1) are:-
x+ y+ z =2
2x + y + 3z = 1
x+ 2y+ z = 4
Step-by-step explanation:
Linear equations in three variables:-
If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0)
then ax + by + cz = r is called a linear equation in three variables. (The
“three variables” are the x, the y, and the z.)
The numbers a, b, and c are called the coefficients of the equation. The
number r is called the constant of the equation.
so from from above explanation we can write 3 linear equations with three variables as.
x+ y+ z =2
2x + y + 3z = 1
x+ 2y+ z = 4
Now to check if the given point (1,2,-1) is solution or not these equations must satisfy this point,
x+ y+ z =2
1+ 2- 1 = 2
2= 2
2x + y + 3z = 1
2×1 +2 - 3×1 = 1
1=1
x+ 2y+ z = 4,
1+ 2×2 -1 = 4
4=4
therefore all three equations satisfies the given point
hence these are the three linear equation having point (1,2, -1) as the unique solution
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find the mean absolute value of 85,90,68,75,79
The mean absolute value of the numbers 85, 90, 68, 75, and 79 is 79.4.
To find the mean absolute value of a set of numbers, we need to sum up the absolute values of all the numbers in the set and then divide the sum by the total number of values.
Let's calculate the mean absolute value for the numbers you provided: 85, 90, 68, 75, and 79.
Find the absolute values of the numbers.
|85| = 85
|90| = 90
|68| = 68
|75| = 75
|79| = 79
Calculate the sum of the absolute values.
85 + 90 + 68 + 75 + 79 = 397
Divide the sum by the total number of values (5 in this case).
397 / 5 = 79.4
Therefore, the mean absolute value of the numbers 85, 90, 68, 75, and 79 is 79.4.
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what is 4x-8+5x=28 plz help me with this
Answer:
x=4
Step-by-step explanation:
4x-8+5x=28
9x-8=28
Add 8 to both sides.
9x=36
Divide 9 from both sides.
x=4
Hope this helps! Plz give brainliest!
100th term for 5, 2, -1
Answer:
100th term = -1485
Step-by-step explanation:
Arithmetic Progressionthe nth term, Tn:\(t_{n} = a + (n - 1)d\)
n = number of terms
= 100
a = first term
= 5
d = difference
= second term - first term
= 2 - 5
= -3
substitute the values into the formula
\(t_{100} = 5(100 - 1)( - 3)\)
\(t_{100} = 5(99)( - 3)\)
\(t_{100} = 495( - 3)\)
\(t_{100} = - 1485\)
Ying is a professional deep water free diver.
His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by:
D(x)=\dfrac{1}{36}(x-60)^2-100D(x)=
36
1
(x−60)
2
−100D, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 36, end fraction, left parenthesis, x, minus, 60, right parenthesis, squared, minus, 100
What is the lowest altitude Ying will reach?
Answer:
The lowest point is -100 meters, or 100 meters down
Step-by-step explanation:
D(x)=1/36(x-60)^2-100
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
Since a is positive, the parabola opens up
The vertex is the minimum, which means it will be the lowest point
The vertex is (60,-100)
The lowest point is -100 meters, or 100 meters down
Given expression
y=1/36(x-60)²-100Compare to the vertex form
y=a(x-h)²+kWe get
.
a=1/36(h,k)=vertex=(60,-100)As a is positive parabola is opening upwards and vertex is minimum
Lowest altitude is -100m
The equation for line j can be written as y =
= -5/7x-10. Line k, which is parallel to line j,
includes the point (-9, 5). What is the equation of line k?
The equation of the line which is parallel to the other equation is;
\(y + \frac{5x}{7} +\frac{10}{7} =0\).
What is the Relation between two Parallel Lines?
To determine whether two lines are parallel or not, apply the parallel line's formula. When we have the slope of two lines that we want to compare, the parallel line formula can be used. The separation between the parallel lines remains constant. Parallel lines are those that never cross each other. Since the two lines are equal in this situation and the angle is 180 degrees, they will never intersect.
In the given equation, we have:
The equation of the line is y = -5/7x-10.
and, Line k, which is parallel to the line of the equation :
\(y = \frac{-5x}{7} -10.\)
\(y + \frac{5x}{7} +10. =0\)
So, the equation of the line which is parallel to the line of the equation is:
\(y + \frac{5x}{7} +k. =0\)
and since the two lines are parallels
So, the slope of equation 1 and the slope of equation two will be the same;
Also, It is given that the line includes the point (-9, 5).
So,
\(5 + \frac{5 \times -9}{7} +k. =0\)
⇒\(k = -\frac{5 \times -9}{7} -5\)
⇒\(k = \frac{10}{7}\)
So, The equation of the line which is parallel to the other equation is;
\(y + \frac{5x}{7} +\frac{10}{7} =0\).
Hence,
The equation of the line which is parallel to the other equation is;
\(y + \frac{5x}{7} +\frac{10}{7} =0\)..
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Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
Find the indicated point of concurrency for the triangle with the given vertices. (Lesson 5-2)
Centroid; A(-4,-5), B(-1,2), C(2,-4)
The centroid of the triangle with vertices A(-4, -5), B(-1, 2), and C(2, -4) is (-1, -7/3).
To find the centroid of a triangle, we need to calculate the average of the coordinates of the three vertices. The centroid is the point of concurrency where the medians of the triangle intersect.
Given the vertices of the triangle A(-4, -5), B(-1, 2), and C(2, -4), let's find the centroid.
The x-coordinate of the centroid is given by the average of the x-coordinates of the vertices:
x-coordinate of centroid = (x-coordinate of A + x-coordinate of B + x-coordinate of C) / 3
= (-4 + -1 + 2) / 3
= -3 / 3
= -1
The y-coordinate of the centroid is given by the average of the y-coordinates of the vertices:
y-coordinate of centroid = (y-coordinate of A + y-coordinate of B + y-coordinate of C) / 3
= (-5 + 2 + -4) / 3
= -7 / 3
Therefore, the centroid of the triangle with vertices A(-4, -5), B(-1, 2), and C(2, -4) is (-1, -7/3).
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SHOW YOUR WORK FOR BRAINLIEST
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The answer is 33.6
Answer:
Explanation below:
Step-by-step explanation:
So basically x is the diameter - so is the radius times by 2
The radius is the length from the center of the circle to the edge which in this case is 7.9 + 8.9 = 16.8
So from this we have worked out the radius which is 16.8
But x is the diameter so we have to times 16.8 by 2 which gives 33.6
how to find the missing length of a right triangle
Answer:
see below
Step-by-step explanation:
Use pythagorean theorem:
\(a^{2} +b^{2} =c^{2} \\\)
For example, if we are given the lengths:
Short side: 3
Hypotenuse: 5
and we have to find the other side length:
\(a^{2} +b^{2} =c^{2} \\3^{2} +b^{2} =5^{2} \\9+b^{2} =25\\b^{2} =16\\b=4\)
So, the missing side length would be 4.
Hope this helps! :)
anyone help me please
\(2 \sin7 \alpha. \cos2 \alpha = \sin9 \alpha + \sin5 \alpha \)
Solution,
As we have,
⇒2SinACosB=Sin(A+B)+Sin(A-B)
Now,
\(2sin7\alpha .cos2\alpha =sin9\alpha +sin5\alpha \\\\LHS=2sin7\alpha .cos2\alpha \\\\LHS=sin(7\alpha +2\alpha )+sin (7\alpha -2\alpha )\\\\LHS=sin9\alpha +sin5\alpha\)
Hence, LHS=RHS
For a group of high school students, the correlation between math sat score and total sat score is about r = 0.9935. what can be said about r2? note: r2 = 0.987.
Math SAT scores explain about 98.7% of the variation in the total SAT scores.
What is a correlation?In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.
A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.
Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.
In context, math SAT score explains about 98.7% of the variation in total SAT score.
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If A is an 8 times 6 matrix, what is the largest possible rank of A? If A is a 6 times 8 matrix, what is the largest possible rank of A? Explain your answers. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The rank of A is equal to the number of pivot positions in A. Since there are only 6 columns in an 8 times 6 matrix, and there are only 6 rows in a 6 times 8 matrix, there can be at most pivot positions for either matrix. Therefore, the largest possible rank of either matrix is B. The rank of A is equal to the number of non-pivot columns in A. Since there are more rows than columns in an 8 times 6 matrix, the rank of an 8 times 6 matrix must be equal to. Since there are 6 rows in a 6 times 8 matrix, there are a maximum of 6 pivot positions in A. Thus, there are 2 non-pivot columns. Therefore, the largest possible rank of a 6 times 8 matrix is C. The rank of A is equal to the number of columns of A. Since there are 6 columns in an 8 times 6 matrix, the largest possible rank of an 8 times 6 matrix is. Since there are 8 columns in a 6 times 8 matrix, the largest possible rank of a 6 times 8 matrix is.
The correct answer is B
The rank of A is equal to the number of non-pivot columns in A. Since there are more rows than columns in an 8 times 6 matrix, the rank of an 8 times 6 matrix must be equal to the number of pivot positions, which is 6. Since there are 6 rows in a 6 times 8 matrix, there are a maximum of 6 pivot positions in A. Thus, there are 2 non-pivot columns. Therefore, the largest possible rank of a 6 times 8 matrix is 2.
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Willow purchased a new
car. Her loan, including
interest, is $12,720. How
much are her monthly
payments if she has 60
monthly payments to
make?
Answer:
$212
Step-by-step explanation:
what is the measure of x
Answer:
56.25°
Step-by-step explanation:
cos x° = b/h = 15/27 = 5/9
x° = cos^(-1) (5/9) = 56.25°
Helppppppppp me plz I rlly. We’d help
Answer:
c = 4,9
d = 4,6
At one farmers market bananas cost 0.80 per pound at another farmers market bananas are sold and 5 pound bags for $4.50 per bag which explains how to find the better buy
Answer:
The farmer that sell the bananas for 0.80 per pound is the best price.
Step-by-step explanation:
The second farmer:
1. \(\frac{4.50}{5}\) = 0.90 cents
The first farmer:
1.\(\frac{0.80}{1}\) = 0.80
So the first farmer has a cheaper price.
Answer:
a
Step-by-step explanation:
The chance a 6-year-old child will catch a ball that’s thrown to them from 30 feet is .4. If a ball is thrown 15 times, and we’re interested in the probability that the child will catch 10 or more balls, what are N, P, and X, respectively? What is the probability the child will catch 10 or more balls?
The probability that the child will catch 10 or more balls is approximately 0.4757 or 47.57%
In this scenario, we can model the number of successful catches by the child using a binomial distribution. Let's identify the values of N, P, and X, and calculate the probability.
N: N represents the number of trials or attempts. In this case, the ball is thrown 15 times, so N = 15.
P: P represents the probability of success in a single trial. Here, the chance of the child catching a ball is given as 0.4, so P = 0.4.
X: X represents the number of successful outcomes we are interested in. In this case, we want to find the probability that the child will catch 10 or more balls, so X = 10, 11, 12, 13, 14, 15.
To calculate the probability, we need to sum the probabilities of each individual outcome. We can use the binomial probability formula:
P(X=k) = (N choose k) * P^k * (1-P)^(N-k)
Let's calculate the probability using the formula for each value of X and sum the probabilities for X ≥ 10:
P(X ≥ 10) = P(X=10) + P(X=11) + P(X=12) + P(X=13) + P(X=14) + P(X=15)
P(X ≥ 10) = [ (15 choose 10) * (0.4^10) * (0.6^5) ] + [ (15 choose 11) * (0.4^11) * (0.6^4) ] + [ (15 choose 12) * (0.4^12) * (0.6^3) ] + [ (15 choose 13) * (0.4^13) * (0.6^2) ] + [ (15 choose 14) * (0.4^14) * (0.6^1) ] + [ (15 choose 15) * (0.4^15) * (0.6^0) ]
Now, we can calculate the probability:
P(X ≥ 10) ≈ 0.0032 + 0.0172 + 0.0524 + 0.1083 + 0.1651 + 0.1295
P(X ≥ 10) ≈ 0.4757
Therefore, the probability that the child will catch 10 or more balls is approximately 0.4757 or 47.57%
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On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
============================================================
Explanation:
Point H is at (-2,2) and J is at (4,-2)
Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.
The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.
The midpoint is at (1,0). That's why the answer is choice C.
--------------------------
This next section is optional.
Points I and K are located at (4,3) and (-2,-3) respectively
Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1
Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0
We end up with the same midpoint (1,0)
The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.
Answer:
C is the correct answer
Step-by-step explanation:
D. Larry has a new plan. Whenever his need for the car exceeds the number of slots he has rented the car for, he returns the car on time to avoid the fine, and uses his bicycle for the remaining deliveries. Unfortunately, bike deliveries take 3 times longer than car deliveries. Suppose he rents the car for 5 slots (75 minutes). If he needs 7 slots, then he uses the car for 5 slots, and the remaining 2 slots are done by bicycle, which take 6 slots (1. 5 hours). How much time does he expect to bicycle on average (in terms of slots)
Larry uses the car for the first 5 slots (75 minutes) and returns it on time to avoid any fine. He then uses his bike for the remaining 2 slots, which takes 6 slots (3 times longer than using the car).
Therefore, in total, Larry uses the car for 5 slots and the bike for 6 slots, for a total of 11 slots.
On average, Larry expects to use the bike for (6/11) of his total slots. Since each bike delivery takes 3 times longer than a car delivery, we can say that Larry expects to spend 3 times as much time on the bike as he would in the car. Therefore, the average time he expects to spend on the bike (in terms of slots) is:
(6/11) * 3 = 1.636 slots
So, Larry expects to spend an average of 1.636 slots (or about 24.5 minutes) on the bike for each delivery.
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Find the slope of a line that
goes through the two points
(-3, 6) and (2, -5).
Answer:
-2.2
Step-by-step explanation:
m = y2 - y1/ x2- x1
m = -5 - 6/ 2 --3
m = -11/5
m = -2.2
if sin of theta=1/2 and 0°<0<180 the smaller value of 0 is
30-degree is the smallest value of the \(\theta\\\).
If sin(θ) = 1/2 and 0° < θ < 180°, then we know that θ is an acute angle in the first or second quadrant of the unit circle, since sine is positive in those quadrants.
To find the value of θ, we can use the inverse sine function (sin^-1) on both sides of the equation:
\(sin^{-1}(sin(\theta)) = sin{^-1}(1/2)\)
θ = 30° or 150°
Since 0° < θ < 180°, the smaller value of θ is 30°.
Therefore, the smaller value of θ is 30°.
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If 1/10 of a scarf is knit in 48 minutes.what fraction of a scarf is knit in 1 hour
Answer:
1/8
Step-by-step explanation:
i believe this is the answer
x : y = 1 : 5
a) y=5x
b) y = x/5
c) y = x - 4
d) y = x + 4
Answer:
y=5x
Step-by-step explanation:
please mark me as brainlest
Answer:
a) y = 5x
Step-by-step explanation:
Given :-
x : y = 1 : 5
Solving :-
x/y = 1/5
y = 5x
Solution :-
a) y = 5x