Find the magnitude and direction of the vector using the given information. V=<6,7>
Answer:
The magnitude of the vector is 9.165 and it's direction is 40.6°
Step-by-step explanation:
Vector Quantities:A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.
Magnitude of vector v is given by
|v| = √6²+7²
= √36+49
= √84
= 9.165
Direction of vector v is obtained by:
\( \tan( \theta) = \frac{x}{y} \)
\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)
\(\theta = {40.6°}\)
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Find the measure of c
9514 1404 393
Answer:
140°
Step-by-step explanation:
The long arc intercepted by angle c is 360° -80° = 280°. The measure of inscribed angle c is half the measure of the arc it intercepts.
c = 280°/2 = 140°
In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (b) What is the probability that a subject would guess more than 20 correct in a series of 36 trials?
The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001
How to find the pobability that a subject would guess more than 20 correct in a series of 36 trialsIn a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.
Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.
The probability of guessing more than 20 correct is:
P(X > 20) = 1 - P(X ≤ 20)
Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).
Therefore: P(X > 20) = 1 - 0.9999 = 0.0001
So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).
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Enter The Missing Numbers To Create Equivalent Ratios
Answer:
3, 1
6, 2
12, 6
24, 8
Step-by-step explanation:
All of them, when reduced, will equal (3, 1)
Answer:
Step-by-step explanation:
The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
, and the number of students who got a grade higher than 84% is about
.
Answer:
(5,100)
Step-by-step explanation:
A newspaper article is summarized: According to a new study, teachers may be more inclined to give higher grades to students, hoping to gain favor with the university administrators who grant tenure. The study examined the average grade and teaching evaluation in a large number of courses given in 1997 in order to investigate the effects of grade inflation on evaluations. " I am concerned with student evaluations because instruction has become a popularity contest for some teachers, " said Professor Smith, who recently completed the study. Results showed higher grades directly corresponded to a more positive evaluation. The last statement above means the study found that:_________.
a) Higher course grades are positively associated with teaching evaluation
b) Teaching evaluation is negatively associated with course grade
c) There was a perfect positive correlation between course grade and teaching evaluation
d) Each letter grade increase is associated with a 10% increase in positive evaluations for the professor.
Study time (hours)
The scatter plot shows the relationship between exam score and study time. Which statements are correct?
A)
Each additionally hour of studying is associated with an additional 10 point
increase in exam score.
B)
The model predicts that studying for 1.5 hours will result in an exam score
of 60.
The model predicts that studying for 2.5 hours will result in an exam score
of 70.
The model redirts that cturving for 4 hours will recuilt in an ovam ccaro of
Answer:y’all it’s all of them ABE
Step-by-step explanation:
The statements that are correct are:
B) The model predicts that studying for 1.5 hours will result in an exam score of 60.
C) The model predicts that studying for 2.5 hours will result in an exam score of 70.
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
The scatter plot shows a positive relationship between study time and exam scores, with exam scores generally increasing as study time increases. However, the relationship is not linear and the increase in exam score is not always 10 points for each additional hour of study.
A) is not correct because the relationship between study time and exam score is not linear, and the increase in exam score is not always 10 points for each additional hour of study.
D) is not correct because the wording is unclear, it should be "The model predicts that studying for 4 hours will result in an exam score of (a specific number)".
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PLEASE HELPPPP :(((((((((((
Answer:
3 6/10, 5 2/5, 5 2/6, 3 3/9, 4 2/7, 6 6/8
Step-by-step explanation:
divide numerator by denominator
On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 40. Find the z-score of a person who scored 300 on the exam.
A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.
The z-score of a person who scored 300 on the exam, we can use the formula:
z = (x - μ) / σ
where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:
z = (300 - 300) / 40
Simplifying the equation, we have:
z = 0 / 40
Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.
The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.
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State the y-coordinate of the yintercept for the function below.
f(x) = x^3– 9x
Answer: the y intercept is 0
Step-by-step explanation:
How many possible ways?
The number of possible ways in which the selection can be done is this: 12320.
How to obtain the number of possible waysThe formula for the number of ways that the selection can be obtained is this:
8C3 x 11C10 x 6C3
This can be resolved this way:
8! / 3!(8-3)! × 11!/ 10!(11-10)! × 6!/ 3!(6-3)!
Now the next step will be to solve for all the figures obtained
56 × 11 × 20
= 12320.
In order to arrive at the right answer, it is important to first resolve the figures in brackets before multiplying and then dividing. The rule of BODMAS should be followed.
Question:
A catering service offers 8 appetizers, 11 main courses, and 6 desserts. A banquet chairperson is to select 3 appetizers, 10 main courses, and 3 desserts for a banquet. In how many ways can this be done?
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The image below is a triangle drawn inside a circle with center O:
A triangle is shown inscribed inside a circle. The leg of the triangle labeled 8 inches passes through the center of the circle, O. The other two legs are labeled as 4 inches and 5 inches.
Which of the following expressions shows the area, in square inches, of the circle?
(π = 3.14)
Answer:
26
Step-by-step explanation:
Answer: 3.14 · 4²
Step-by-step explanation:
A = π · r²
A = 3.14 · 4²
Hope this helps!
What fraction is represented in the picture below?
1 5/16
Your answer should be above.
Answer:
A
Step-by-step explanation:
a
9. Justin has a balance of $789.34 in his bank
account. These transactions appear on his
bank: -45.75, 145.67, 503, and-782.71.
After adjusting his account register, what is
his new balance?
Answer:
609.55
Step-by-step explanation:
789.34−45.75+145.67+503−782.71=609.55
5
Which fraction is equivalent to 20
?
N
Answer:
4/20
Step-by-step explanation:
algebra please helppp
4. To obtain the graph of g(x) = \(-e^{x-4}\) from the graph of f(x) = \(e^{x}\), we need to apply a vertical reflection (reflect over the x-axis).
what is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
1. To obtain the graph of g(x) = \(-e^{x-4}\) from the graph of f(x) = \(e^{x}\), we need to apply a vertical shift down by 4 units. This means that every point on the graph of f(x) will be shifted down by 4 units. The graph of g(x) will have the same shape as the graph of f(x), but will be shifted down by 4 units.
2. To obtain the graph of g(x) = \(e^{(x+5)}+1\) from the graph of f(x) = \(e^{x}\), we need to apply a vertical shift up by 1 unit and a horizontal shift left by 5 units. The vertical shift up by 1 unit means that every point on the graph of f(x) will be shifted up by 1 unit. The horizontal shift left by 5 units means that every point on the graph of f(x) will be shifted 5 units to the left. The graph of g(x) will have the same shape as the graph of f(x), but will be shifted up by 1 unit and to the left by 5 units.
3. To obtain the graph of g(x) = \(e^{(x+5)+1}\) from the graph of f(x) = \(e^{x}\), we need to apply a horizontal shift left by 5 units and a vertical shift up by 1 unit. The horizontal shift left by 5 units means that every point on the graph of f(x) will be shifted 5 units to the left. The vertical shift up by 1 unit means that every point on the graph of f(x) will be shifted up by 1 unit. The graph of g(x) will have the same shape as the graph of f(x), but will be shifted to the left by 5 units and up by 1 unit.
4. To obtain the graph of g(x) = \(-e^{x-4}\) from the graph of f(x) = \(e^{x}\), we need to apply a vertical reflection (reflect over the x-axis). This means that every point on the graph of f(x) will be reflected over the x-axis. The graph of g(x) will have the same shape as the graph of f(x), but will be reflected over the x-axis.
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Which of the following answer choices is an equation for the circle with a center of (-2, 3) and a radius of 3?
A.
2x2 + 2y2 + 3x - 3y + 4 = 0
B.
3x2 + 3y2 + 4x - 6y + 4 = 0
C.
x2 + y2 + 4x - 6y + 4 = 0
D.
x2 + y2 + 4x - 6y + 22 = 0
Answer:
Step-by-step explanation:
The answer is C
-3x + 7 = 1
what dose x represent
Answer:
the answer is x=3
Step-by-step explanation:
-3x=1-7
-3x=-6
-x=-6+3
-x=-3
x=3
Translate the given phrase into an algebraic expression and simplify if possible: the sum of -8 and -9, increased by 23.
Note: Enter only the simplified result.
Step-by-step explanation:
(-8-9)+23
-17+23
6.........
The value of algebraic expression [(-8) + ( -9)] + 23 is 6.
Here,
We have to simplify; the sum of -8 and -9, increased by 23.
And, find an algebraic expression.
What is Algebraic expression?
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Now,
The written expression is, the sum of -8 and -9, increased by 23.
It can be written as,
⇒ [(-8) + ( -9)] + 23
⇒ - 8 - 9 + 23
⇒ - 17 + 23
⇒ 6
Hence, The value of algebraic expression [(-8) + ( -9)] + 23 is 6.
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A kite is a quadrilateral with two pairs of equal, adjacent sides. Kite ABCD is shown with AB = BC and AD=CD. Its diagonals, AC and BD, have been drawn and intersect at M. Various angles have been marked for use.
#5: Prove for kite ABCD above that BD bisects both ZABC and ZADC.
#6: Given what we now know from #5, prove that M must be the midpoint of AC.
Answer:
Hope this helps
Step-by-step explanation:
5) Since AB = BC, this means that ∠1 = ∠2
this would mean that BD bisects ∠ABC
Line AD = DC, and BD intersects at the angle of ADC, meaning that
∠3 = ∠4
6) M must be the midpoint of AC as M is perpendicular to BD, making M the Midpoint of AC
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Tariq and Lucia are finalists in a baking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their primary flavor must be. Here are the available cards:
Answer:
0.03
Step-by-step explanation:
Answer:
.03 on Khan Academy
Step-by-step explanation:
A "bank run" takes place when a large number of people withdraw their money at once. How might the Federal Reserve support a bank to ensure that all of the depositors would get their money back if there were a bank run?
a By directly paying back the depositors
b By raising the prime interest rate
c By lending money to the bank
d By issuing government bonds
ill mark brainiest if right!!!!! QUIck Help me
In order to ensure that depositors would get their money back in the event of a bank run, the Federal Reserve can support the bank by lending money to the bank. Option C
Answer to the aforementioned questionWhen a bank faces a bank run and experiences a sudden and significant increase in withdrawals, it may face a liquidity crisis, meaning it may not have enough cash on hand to meet the withdrawal demands of depositors.
To address this, the Federal Reserve can step in and provide loans or emergency funding to the bank to help it meet its obligations to depositors. This lending can help stabilize the bank's liquidity position and ensure that depositors are able to access their funds.
It is important to note that this support from the Federal Reserve is typically done on a temporary basis and is intended to help address the immediate liquidity needs of the bank during a crisis
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The cost C (in dollars) for a company to produce and sell x thousand gadgets is given by C = 1/40 x^2 − 2x + 4040
(a) What is the company's start-up cost? $________
(b) What is the minimum cost? $ ___________
(c) How many gadgets must the company produce and sell in order to incur the least cost? (Be careful with your units!) __________ gadgets
Answer:
Step-by-step explanation:
(c) The number of gadgets the company must produce and sell in order to incur the least cost = 40 gadget.
We experienced a few technical difficulties when trying to submit the answers for (a) and (b) questions, but we made it much easier because we have the screenshots and we have attached it in the diagram below.
Thanks
HELP PLEASE will mark brainliest
Eighteen middle-aged women with platelet readings between 120,000 platelets per microliter and 150,000 platelets per microliter of blood were selected randomly from the population of similar female patients at a large local hospital. Nine of the 18 women were assigned randomly to group A and received a placebo. The other nine women were assigned to group B and received a new platelet drug. After four months, posttreatment platelet readings were taken for all 18 women and were compared with pretreatment readings. The reduction in platelet level (Pretreatment reading − Posttreatment reading) for each woman in the study is shown here.
Group A (placebo) increase (in platelets per microliter): 2,000, 5,000, 7,050, 10,125, 12,345, 17,350, 13,250, 12,200, 9,125
Group B (platelet drug) increase (platelets per microliter): 28,450, 23,438, 36,380, 12,450, 16,100, 21,350, 39,400, 41,000, 14,325
Create and interpret a 95% confidence interval for the difference in the placebo and the new drug.
The blood platelet count is an illustration of normal distribution,
Approximately 95% of the data lies within 2 standard deviations of the mean.
There are approximately 99.7% of women with platelet count between 65.2 and 431.8.
Given parameters are:
μ = 248.5
σ = 61.1
(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,
Start by calculating the z-score, when x = 126.3 and x = 370.7
Z = x-μ / σ
Therefore,
Z = 126.3-248.5/61.1
Z = -2
Also,
Z = 370.7-248.5/61.1
Z = 2
The empirical rule states that:
Approximately 95% of the data lies within 2 standard deviations of the mean.
Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.
(b) The percentage with platelet count between 65.2 and 431.8
Start by calculating the z-score, when x = 65.2 and x = 431.8
Z = 65.2-248.5/61.1
Z = -3
And,
Z = 431.8-248.5/61.1
Z = 3
The empirical rule states that:
Approximately 99.7% of the data lies within 3 standard deviations of the mean.
Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.
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z=x^{2} +y^{2} -4x-2y+9
Answer:
hello my name Nidhi, please mark me as brainliest bcoz I need it
need help asap. pls somebody help.
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
plz help does the point (-1, -1) lie on the line y= 4x + 3 ?
Answer:
yes, it does
Step-by-step explanation:
point (-1, -1)
y=4x+3if (-1, -1) lies on this line, it will make below equation correct:
-1=4*(-1)+3-1=-4+3-1=-1Answer is yes
Answer:
Yes it does.
Step-by-step explanation:
For (-1, -1) to lie on the line y= 4x + 3 ; that would mean substituting x=-1 into the expression we should be able to get y=-1 so let's test that.
Substituting x=-1 in y= 4x + 3;
we have : y= 4(-1)+ 3 = -4 +3 = -1;
Since y=-1 tallies with the point (-1, -1)
*Time limit help*
Tell me the domain and range
Tell me if the graph is a function or not.
Pick the right answer choice
A. Yes
B. No
C. -2<=x<=6
D. x>=-2
E. All real number
F. x<=6
G. -6<=y<=2
H. y>=-6
I. y<=2
J. y<=6
Examining the graph it can be deduced that
The domain is
C. -2<=x<=6The range is
G. -6<=y<=2The graph is not a function
How to tell if a graph is a function
To qualify as a function, any input (x-value) of a graph must be linked to a single output (y-value). Therefore, each x-value ought to have one and only one y-value that matches it.
A method for identifying whether or not a given graph is representative of a function is by conducting a vertical line test. To achieve this, vertically draw lines through the graph. When every vertical line hits the graph at just one point, then the illustration aptly presents a function. Conversely, if the graph forms multiple intersection points with any vertical line, it isn't classified as a functional representation.
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if you attempt to use a local variable before it has been given a value: group of answer choices a compiler error will occur. the local variable will be ignored. the results will be unpredictable. the local variable will always contain the value 0.
If you attempt to use a local variable before it has been given a value the answer is a . A compiler error will occur .
Given :
What is local variable ?
A local variable is a variable that is only accessible within a specific part of a program. These variables are usually local to a subroutine and are declared .
Compilation error refers to a state when a compiler fails to compile a piece of computer program source code, either due to errors in the code, or, more unusually, due to errors in the compiler itself.
Here the local variable is used inside the function so we need to first give a value means i = 0 or anything without that the compiler error will occur .
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Full question :
If you attempt to use a local variable before it has been given a value,
Select one:
a. a compiler error will occur
b. the local variable will always contain the value 0
c. the results will be unpredictable
d. the local variable will be ignored