In a line When the line is parallel to the x-axis, the slope is zero. The first set of coordinates' slope will be 0.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
1. For the first slope, the given coordinates are;
(-3,2), (-1,2), (1,2) and (3,2).
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (2-2) / (3+3) = 0
Thus, the slope of the line is 0.
2. For the second slope, the given coordinates are;
(-3,3), (-1,1), (1,-1) and (3,-3).
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (-3-3) / (3+3) = -1
Thus, the slope of the line is -1.
3. For the third slope, the given coordinates are
(-5,-5), (0,0) and (5,5).
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (5+5) / (5+5) = 1
Thus, the slope of the line is 1.
4. For the fourth slope, the given coordinates are
(-2,5), (-2,0) and (-2,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (-2+2) / (5-5) = ∞
Thus, the slope of the line is undefined.
Therefore, the slope of the first pair of coordinates will have no slope or zero slopes.
To learn more about the slope;
brainly.com/question/3605446
#SPJ1
A customer spends a total of $52.25 at an amusement park. The customer buys a $30.25 ticket to enter the park and 4 game tickets.
If each game ticket costs the same amount, x, which statement is true?
Responses
An equation that can be used to find x is 4(x+30.25)=52.25, and each game ticket costs $5.50.
An equation that can be used to find x is 4 ( x + 30.25 ) = 52.25 , and each game ticket costs $ $ 5.50 .
An equation that can be used to find x is 4(x+30.25)=52.25, and each game ticket costs $18.00.
An equation that can be used to find x is 4 ( x + 30.25 ) = 52.25 , and each game ticket costs $ $ 18.00 .
An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $5.50.
An equation that can be used to find x is 4 x + 30.25 = 52.25 , and each game ticket costs $ $ 5.50 .
An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $18.00.
Answer: I believe its: An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $5.50.
Step-by-step explanation:
well, 52.25 - 30.25 is 22$
22 divided by 4 is 5.50
4 times x plus 30.25 is 52.25
so 4x+30.25= 52.25
Identify the equation of the function from its graph.
Answer:
y = 2x³-6x²-2x +6
Step-by-step explanation:
You want the equation of a graph with two turning points, and x-intercepts at -1, +1, and +3. The y-intercept is 6.
FactorsEach x-intercept of x=p means the equation has a factor of (x -p). This means the factored equation will be ...
y = a(x +1)(x -1)(x -3) = a(x² -1)(x -3) = a(x³ -3x² -x +3)
y-InterceptThe y-intercept is 3a = 6, so a = 2 and the function is ...
y = 2x³ -6x² -2x +6
1. Which equation describes the line with
slope -4 and y-intercept 2?
A y=-4x+2
B y=-4x-2
C y=4x-2
D y = 4x + 2
Answer:
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the equation of the line with slope -4 and y-intercept 2 is y = (-4)x + 2.
3 less than the difference of 15 and a number h
Answer: 15 - h - 3
Step-by-step explanation:
Conrad Savings Bank has a $50 overdraft fee. On Friday, Mr. McQuire deposited his paycheck of $332 for a total
account balance of $750. The next morning, his wife wrote a check for $1,183.15 for a new refrigerator and stove.
The check cleared the bank by the end of the day. What is the current balance in the McQuire's account?
Answer: -433.15
Step-by-step explanation:
he's id debt and has to pay off the 433.15 later on.
Answer:
The McQuires' account is currently overdrawn by $483.15.
Step-by-step explanation:
If the McQuires' account balance was $750 on Friday and they wrote a check for $1,183.15 on Saturday, then the balance would be 750 - 1,183.15 = -$433.15 after the check cleared. Since the bank charges a $50 overdraft fee, the final balance in the McQuires' account would be -$433.15 - $50 = -$483.15. The McQuires' account is currently overdrawn by $483.15.
5400 dollars is placed in an account with an annual interest rate of 9%. To the
nearest tenth of a year, how long will it take for the account value to reach 15500
dollars?
Answer:
12.2 years
Step-by-step explanation:
To solve, use the exponential growth formula:
[tex]A_t=A_0(1+r)^x[/tex]
where
[tex]A_t[/tex] = Amount as a function of time ($15500)
[tex]A_0[/tex] = Original amount ($5400)
[tex]r[/tex] = rate (.09)
[tex]x[/tex] = time in years
So,
[tex]15500=5400(1+.09)^x\\15500(\frac{1}{5400})=5400(1.09)^x(\frac{1}{5400})\\2.87=1.09^x\\\log_{1.09}2.87=\log_{1.09}1.09^x[/tex]
Use the logarithmic rules that state [tex]\log_{a}a=1[/tex] and [tex]\log_{a}a^b=b\log_{a}a[/tex]:
So,
[tex]\log_{1.09}2.87=x\\12.24\ years=x[/tex]
The analysis of total variability into between-treatments and within-treatments variability is the same for a repeated-measures ANOVA and an independent-measures ANOVA.TrueFalse
The given statement ,the analysis of total variability into between-treatments and within-treatments variability is the same for a repeated-measures ANOVA and an independent-measure ANOVA is true.
The first stage of the repeated-measures ANOVA is identical to the independent-measures analysis and splits the overall variability into two components: between-treatments and within-treatments
Measurements that are repeated ANOVA is the extension of the dependent t-test and is the equivalent of one-way ANOVA for related, rather than independent, groups.
A repeated measures ANOVA is often referred to as a within-subjects ANOVA or ANOVA for correlated samples. The term "responsibility" refers to the act of determining whether or not a person is responsible for his or her own actions.
To learn more about ANOVA
brainly.com/question/7192786
#SPJ4
What is BC?
BC= units?
The value of BC = 25 using properties of triangle.
What are properties of triangle ?
Let us discuss here some of the properties of triangles.
1. A triangle has three sides and three angles.
2. The sum of the angles of a triangle is always 180 degrees.
3. The exterior angles of a triangle always add up to 360 degrees.
4. The sum of consecutive interior and exterior angle is supplementary.
Properties for isosceles:
Isosceles triangles are those triangles that have at least two sides of equal measure.
1. Two equal sides and two equal angles.
2. The two equal sides of an isosceles triangle are called the legs and the angle between them is called the vertex angle or apex angle.
3. The side opposite the vertex angle is called the base and base angles are equal.
Using 1st property,
in given triangle two angles are equal then opposite side will also be equal.
So, AB = AC
i.e. 4x+4 = 6x-14
4+14 = 6x-4x
18 = 2x
x = 9
Putting value of x in BC
BC = 2*9 +7
= 18+7
= 25.
Learn more about triangle using the link :
https://brainly.com/question/13871974
#SPJ1
the student government claims that 70% of all students favor an increase in student fees to buy indoor potted plants for the classrooms. a random sample of 12 students produced 2 in favor of the project.
(a) What is the probability that 2 or fewer in the sample will favor the project, assuming the student government's claim is correct? (Use 3 decimal places.) (b) Do the the data support the student government's claim, or does it seem that the percentage favoring the increase in fees is less than 70%? The data do not give us any indication that the percent favoring the increase in fees differs from 70%. The data seem to indicate that the percent favoring the increase in fees is greater than 70%. The data seem to indicate that the percent favoring the increase in fees is less than 70%. The data seem to indicate that the percent favoring the increase in fees is equal to 70%.
The probability that 2 or fewer in the sample will favor the project is 4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%
According to the question,
It is given that according to the student's government
The probability that number of students in favor of increment in fees : p = 0.70
The probability that number of students against the increment : q = 0.30
Sample Size : n = 12
Number of students follows Binomial distribution
(a) We have to find the probability that 2 or fewer in the sample will favor the project
P( x ≤ 2) = P(0) + P(1) + P(2)
As we know ,
P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾
=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰
=> P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹ + 12×11/2 × (0.70)²(0.30)¹⁰
=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]
=> P( x ≤ 2) = 5.9×10⁻⁶[0.78]
=> P( x ≤ 2) = 4.368 × 10⁻⁶
Which is very close to zero
(b) The data doesn't support the student government claim.
The data seem to indicate that the percent favoring the increase in fees is less than 70%.
To know more about Binomial distribution here
https://brainly.com/question/29137961
#SPJ4
Evaluate the function
f(n) = 4x + 5; Find f(2)
Answer: 13
Step-by-step explanation: To find f(2), you can put 2 into all of the x spots, thus making the equation 4(2)+5. From there you can do PEMDAS and multiply 4 and 2 to get 8, and then add 5 to get 13.
The implicational rule of inference that permits us to derive a specific instance from a universal statement isa. Existential Generalization.b. Existential Instantiation.c. Universal Generalization.d. Universal Instantiation.
Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.
It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.
Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.
Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."
∀xA⇒A(x↔a}
for every formula A and every term a, where A(x↔a} is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of
∀xA.
To know more about Universal Instantiation:
https://brainly.com/question/14992064
#SPJ4
What is 0.6 divided by 10
Answer: 0.06
Step-by-step explanation:
Divide negative 5 and 1 over 7 ÷ negative 7 and 3 over 4.
The value of the fraction, negative 5 and 1 over 7 ÷ negative 7 and 3 over 4 is 144/217
What is a fraction?A fraction can be described as the part of a whole element or value.
The different types of fractions are;
Mixed fractionsImproper fractionsProper fractionsComplex fractionsSimple fractionsExamples of proper fractions; 2/4, 5/6, 7/9
Examples of improper fractions; 4/2, 3/2, 6/5
Examples of mixed fractions; 2 1/4, 4 6/7, 8 1/2
Examples of simple fractions; 1/ 3, 3/4, 1/2
Now, from the information given, we have;
negative 5 and 1 over 7 = -5 1/7negative 7 and 3 over 4 = -7 3/4Convert into improper fractions
-36/7 ÷ -31/4
take inverse of the divisor and multiply
-36/ 7 × 4/-31
-144/-217
144/217
Hence, the value is 144/217
Learn more about fractions here:
https://brainly.com/question/11562149
#SPJ1
the number of violent crimes committed in a city on a given day in a random sample of 90 days is a random variable.
The number of violent crimes committed in a city on a given day in a random sample of 90 days is a discrete random variable.
A random variable refers to a numerical quantity that is obtained by a random experiment. A random variable is known as discrete if it has either a finite or a countable number of possible values while it is called continuous if its possible values contain a whole interval of numbers. Hence, a discrete random variable refers to a variable that can take any whole number values as outcomes of a random experiment. It is a variable whose value is obtained by counting. Probability distributions are used to illustrate the values of discrete random variables. A discrete random variable is also known as a stochastic variable. Examples of a discrete random variable are a binomial random variable and a Poisson random variable. As the number of crimes committed in a city can only take discrete values such as 40 crimes, 50 crimes and cannot be 40.5 crimes, it is a discrete random variable.
Learn more about Discrete random variable:
https://brainly.com/question/22004433
#SPJ4
making several trays of her famous lasagna. She finds the mozzarella cheese on sale for $4.89 per pound at her local grocery store. How much will she pay for four pounds of cheese?
Answer:
$19.56
Step-by-step explanation:
$4.89 per pound times the number of pounds to be purchased (4).
so 4(4.89)=19.56
Say that we have three voters deciding among seven candidates, a, b, c, d, e, f, g. Their preference orderings are as follows.
1 2 3
(Best) c f g
a b b
e c c
g g d
b a e
d d f
(W orst) f e a
a. Find the top cycle.
b. For each candidate in the top cycle, write down an agenda (a sequence of majority rule
votes) that makes that candidate win (you can write the agenda as a tree).
c. Say that the voters use the Borda count system (each voter gives 6 points to their first
choice, 5 points to their second choice, and so on) to decide among the candidates. Which
candidate wins?
d. Is the Borda count winner also the Condorcet winner?
e. Which candidate does the worst in the Borda count?
f. Say that the person who does worst in the Borda count (your answer in part e. above) is
embarrassed about their poor performance, and tries to convince another candidate to drop
out so that they are no longer the worst person. If a candidate drops out, there would be
six candidates, and hence in the Borda count system, each voter gives 5 points to their first
choice, 4 to their second choice, and so forth. If a candidate drops out, is it possible for the
person who was originally the worst to no longer be the worst? If so, which candidate should
drop out? If not, please explain why not.
A. The top cycle in this case is a -> b -> c -> a.
B. The agenda that wins the candidate is:
First vote:
a vs b -> a wins
Second voice:
versus. c -> a wins
The agenda that Candidate B wins is:
First vote:
b vs c -> b wins
Second Voice:
b vs a -> b wins
The agenda that Candidate C wins is:
First vote:
c vs a -> c wins
Second Voice:
c vs b -> c wins
C. Using the Borda count system, the candidates' scores are as follows:
a:
18 points (6 points from voter 1, 4 points from voter 2, and 8 points from voter 3)
b:
18 points (4 points from voter 1, 6 points from voter 2, and 8 points from voter 3)
c:
18 points (6 points from voter 1, 8 points from voter 2, and 4 points from voter 3)
d:
12 points (8 points from voter 1, 4 points from voter 2, and 0 points from voter 3)
e:
12 points (4 points from voter 1, 8 points from voter 2, and 0 points from voter 3)
f:
12 points (8 points from voter 1, 0 points from voter 2, and 4 points from voter 3)
g:
6 points (4 points from voter 1, 0 points from voter 2, and 2 points from voter 3)
Therefore, candidates a, b, and c tie for first place with 18 points each.
D. No, the Borda count winner is not the Condorcet winner, because the Condorcet winner is the candidate who would win in a majority rule vote against every other candidate. In this case, candidate c is the Condorcet winner, because c beats a and b in majority rule votes.
E. The candidate with the worst score in the Borda count is g of 6 points.
F. If a candidate fails, the original worst candidate may no longer be the worst. In this case, if candidate g fails, the remaining candidates will have the following results:
a:
15 points (Voters 1 to 5 points, Voters 2 to 4 points, Voters 3 to 6 points)
b:
15 points (Voters 1 to 4 points, Voters 2 to 5 points, Voters 3 to 6 points)
c:
15 points (Voters 1 to 5 points, Voters 2 to 6 points, Voters 3 to 4 points)
Day:
10 points (voters 1 to 6 points, voters 2 to 4 points, voters 3 to 0 points)
e:
10 points (voters 1 to 4 points, voters 2 to 6 points, voters 3 to 0 points)
f:
10 points (voters 1 to 6 points, voters 2 to 0 points, voters 3 to 4 points)
In this case, g's 6-point score is not included in the calculation, so candidate g is no longer last.
Read more about this on brainly.com/question/26003959
#SPJ4
A phone company offers two monthly plans. Plan A costs $17 plus an additional $0.09 for each minute of calls. Plan B costs $9 plus an additional $0.11 for each minute of calls.For what amount of calling do the two plans cost the same?What is the cost when the two plans cost the same?
Answer:
Step-by-step explanation:
u (x comma y )space equals space 5 (x plus y )u (x comma y )space equals space 5 y u (x comma y )space equals space 5 x u (x comma y )space equals space 5 x squared plus 5 y squared
To solve this system of differential equations using the series method, we can assume that the solution can be expressed as a power series in both x and y:
[tex]u(x,y) = a0 + a1x + a2y + a3xy + a4x^2 + a5y^2 + ...[/tex]
Substituting this expression into each of the differential equations and collecting the coefficients of each term gives us the following system of equations:
a0 + 5a0 = 0
a1 + 5a2 = 0
a2 + 5a1 = 0
a4 + 5a4 = 0
a5 + 5*a5 = 0
Solving this system of equations gives us the following values for the coefficients:
a0 = 0
a1 = 0
a2 = 0
a3 = 0
a4 = 0
a5 = 0
Therefore, the power series expansion of the solution is:
u(x,y) = 0
This means that the only solution to the differential equations is the trivial solution u(x,y) = 0.
Note that this method of solving differential equations using power series is only applicable if the differential equations are linear and homogeneous, which means that the coefficients of the terms in the differential equations do not depend on x and y, and the right-hand sides of the equations are all equal to 0. If the differential equations are nonlinear or inhomogeneous, other methods may be required to find their solutions.
To learn more about differential equations, visit:
brainly.com/question/14620493
#SPJ4
$80 at q $100 at qlet q represent the quantity of output and suppose the price of the good is $125 then the marginal revenue is
For the given diagram 1. d) all of them are correct, 2. d)none of them are correct and Total Revenue is 3. b. $90,125
1.
Marginal Revenue is
the change in Total Revenue/Change in units of output produced
In the given question the price of the output is fixed at $125.
Hence no matter what the quantity of output sold, every additional output produced will generate an additional revenue of $125.
hence option d) all of them are correct has to be chosen.
2.
Now we already know that if the price has been fixed at $125, the marginal revenue generated cannot be anything but $125.
Hence, option d) None of them are correct.
3.
Total Revenue = Price X Quantity
Here it is given that the Price is $175
Output is 515 units
Hence, the Total Revenue will be $(175 X 515)
= $90125
Hence, option b. $90125 is correct.
To know more about Cost and Revenue visit
https://brainly.com/question/21859959
#SPJ4
Complete Question
(Image Attached)
Decide whether the random variable x is discrete or continuous. x represents the number of dependent children in a household
Time is represented by the variable. Since a person's speed, which can take on nearly any value, determines how long it takes them to complete a mile, this variable is continuous.
Define Continuous variable?If a quantitative variable is often obtained through measuring or counting, it can either be continuous or discrete. If a variable can take on any two particular real values and all other real values in between, it is said to be continuous over a range of real values.
First, when is a variable continuous and when is it discrete?
A variable is continuous if it can take any value (or at least a dense set of values) inside a certain interval as opposed to discrete if it can only take a few specific values on that interval.
For instance, the only possible values for the numbers one can roll on a dice are 1, 2, 3, 4, 5, and 6, to provide one example.
The variable in this instance now stands for time. Time is nearly always a continuous variable; in this instance, the time refers to the duration of a mile run. Therefore, that variable is capable of practically any value (depends on the speed of the person).
Therefore,
Time is represented by the variable. Since a person's speed, which can take on nearly any value, determines how long it takes them to complete a mile, this variable is continuous.
To learn more about Continuous variable visit :
brainly.com/question/28188636
#SPJ4
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = - 0.4x -6
Step-by-step explanation:
The slope-intercept form of a line equation is
y = mx + b
where m is the slope and b the y-intercept where the line crosses the y axis.
From the figure it is clear that the line passes through (0, -6) and therefore the y-intercept is -6
To compute the slope, find another convenient point on the line. Compute the ratio of change in y values(called rise) to the change in x values(called run). This will be the slope
We see that point (10, -10) has been identified on the graph.(Any of the 4 identified points will do, I just chose this)
So two points to consider are (0, -6) and (10, -10)
Change in y values = rise = -10 - (-6) = 1- + 6 = -4
Change in x values = run = 10 - 0 = 10
So slope m = -4/10 = -0.4
Equation of line is y = -0.4x -6
a pair of congruent angles are described as follows The degree measure of one angle is four more than three times a number and the other angles degree measure is twenty less than five times the bumber determine the mesure of the angle in degrees
a pair of congruent angles are:
3x+4 = (3×12) +4 = 40°
5x - 20 = (5×12) -20 = 40°
What is Congruent angles?The sizes of congruent angles are same. Simply by looking at the specified angles' measurements, congruent angles may be discovered. However, it is not necessary for the terminals used to create these angles to be the same length and direction.
We have been given a different description for each angle.
Let, the number referred to be x
four more than three times a number: 3x + 4
twenty less than five times the number: 5x - 20
So, 5x - 20 = 3x + 4
or, 2x = 24
or, x = 12
The angles are:
3x+4 = (3×12) +4 = 40°
5x - 20 = (5×12) -20 = 40°
To know more about congruent angles refer to:
https://brainly.com/question/11949261
#SPJ1
in a circle of 4 meters, what is the measure of the central angle (in degrees) subtended by an arc of length 5 meters
The measure of the central angle in degrees subtended by an arc of length 5 meter is 71.61 degrees
The radius of the circle = 4 meters
The circumference of the circle = 2πr
Where r is the radius of the circle
The value of π = 3.14
The circumference of the circle = 2π × 4
= 8π
The arc length = 5 meters
Consider the x as the central angle
The proportion of central angle and circumference will be
5/8π = x radiance / 2π
Cross multiply the terms
x × 8π = 5 × 2π
x = 10π / 8π
x = 5/4 radiance
Convert radiance to degrees
We know
1 radiance = 180/π degrees
5/4 radiance = 5/4 × 180/π degrees
= 71.61 degrees
Therefore, the central angle is 71.61 degrees
Learn more about central angle here
brainly.com/question/15698342
#SPJ4
Find the rate of change of the line that contains the two points (-1, -4) and (5, 4). Be sure to show all calculations and reduce your slope to a fraction in simplest form.
The rate of change of the line that contains the two points (-1, -4) and (5, 4) is 4/3.
What is the rate of change of the line?The rate of change for a line is the slope, the rise over run, or the change in over the change in.
The slope of line can be calculated using the formula, slope =(y2-y1)/(x2-x1).
The given coordinate points are (-1, -4) and (5, 4).
Now, slope = (4-(-4))/(5-(-1))
= (4+4)/(5+1)
= 8/6
= 4/3
Therefore, the slope of a line is 4/3.
Learn more about the rate of change of the line here:
https://brainly.com/question/12228883.
#SPJ1
Solve x2 + 4x = 1 for x by completing the square.
x = −3
x = −1
x equals plus or minus square root of 5 minus 2
x equals plus or minus square root of 5 plus 2
Using the completing square method, the value of (C) x = ±√5 - 2.
What is completing the square method?A quadratic polynomial of the form ax2+bx+c can be transformed to the form in elementary algebra by using the "completing the square" method for certain values of h and k.
In other words, the quadratic expression is completed by inserting a perfect square trinomial.
So, we have:
x² + 4x = 1
The x-coefficient terms must be divided by two:
4/2 = 2
Square:
2² = 4
Add 4 on both sides as follows:
x² + 4x + 4 = 1 + 4
x² + 4x + 4 = 5
Transform into perfect squares:
(x + 2)² = 5
Both sides of the square root:
x + 2 = ±√5
x = ±√5 - 2
Therefore, using the completing the square method, the value of (C) x=±√5-2.
Know more about completing the square method here:
https://brainly.com/question/13981588
#SPJ1
Complete question:
Solve x2 + 4x = 1 for x by completing the square.
a. x = −3
b. x = −1
c. x equals plus or minus the square root of 5 minus 2
d. x equals plus or minus square root of 5 plus 2
Answer:
is c correct?
Step-by-step explanation:
Bag A contains 2 black marbles and 3 white marbles. Bag B contains 5 black marbles and 8 white marbles. Sarah adds some marbles to bag B, the probability of picking a black marble at random from either bag is now the same. Work out the smallest number of black marbles and white marbles he adds to bag B
Answer:
add one black and one white marble
Step-by-step explanation:
you have to make bag b equivalent to a 2:3 ratio.
add 1 to 5 to make it divisible by 2
divide 6 by 2
=3
multiply 3 by 3 to get a 2:3 ratio
=9
subtract initial marbles
9-8=1
URGENT!!!!
Find z such that 7% of the area under the standard normal curve lies to the right of z.
The value of z such that 7% of the area under the standard normal curve lies to the right of z is approximately -0.4
How to find z such that 7% of the area under the standard normal curve lies to the right of z?
To find the value of z such that 7% of the area under the curve lies to the right of z, we need to find the value of z such that 43% of the area lies to the left of z.
This value of z is known as the 43rd percentile of the standard normal curve.
We can use a table of the standard normal distribution, also known as the z-table, to find the value of z corresponding to the 43rd percentile.
According to the z-table, the value of z corresponding to the 43rd percentile is approximately -0.4
Learn more about standard normal curve on:
https://brainly.com/question/4079902
#SPJ1
Use the extended Euclidean algorithm to find the greatest common divisor of 3,984 and 588 and express it as a linear combination of 3,984 and 588.
Step 1: Find
q1
and
r1
so that
3,984 = 588 · q1 + r1,
where
0 ≤ r1 < 588.
The greatest common divisor is 12. The linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.
The extended Euclidean algorithm is an algorithm to compute integers x and y such that: ax+by=gcd(a,b)The extended Euclidean algorithm can be viewed as the reciprocal of modular exponentiation.
By reversing the steps in the Euclidean algorithm, it is possible to find these integers x and y. The whole idea is to start with the GCD and recursively work our way backwards. This can be done by treating the numbers as variables until we end up with an expression that is a linear combination of our initial numbers.
First use Euclid's algorithm to find the GCD:
3984 = 588 ×6 + 456
588 = 456×1 +132
456= 132 ×3 + 60
132 = 60×2 +12
60 = 12×5+0
The last non-zero remainder is 12.
Thus, the greatest common divisor is 12.
Now we use the extended algorithm:
12 = 132 +(-2)×60
= 132 + (-2)×(456 + (-3)×132))
= (-2)×456 + 7×132
= (-2)×456 + 7×(588 +(-1)×456))
= 7×588 + (-9)×(3984 +(-6)×588))
= 61×588 + (-9)×3984
Thus, a = -9 and b = 61.
Thus, the linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.
To learn more about greatest common divisor, visit brainly.com/question/2292401
#SPJ4
What is the range of f(x) = |x| − 5?
−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞
Answer:
-5 ≤ y < ∞.
Step-by-step explanation:
The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = |x| − 5, we can first consider what happens when x is positive. In this case, the absolute value of x is just x, so the function becomes f(x) = x − 5. For example, if x = 6, then f(x) = 6 - 5 = 1. We can do this for any positive value of x to find the y-values that the function produces when x is positive.
Next, we can consider what happens when x is negative. In this case, the absolute value of x is -x, so the function becomes f(x) = -x - 5. For example, if x = -6, then f(x) = -6 - 5 = -11. We can do this for any negative value of x to find the y-values that the function produces when x is negative.
We can then combine the y-values that the function produces when x is positive and negative to find the range of the function. Since the function produces all y-values greater than or equal to -5 when x is positive and all y-values less than or equal to -5 when x is negative, the range of the function is -5 ≤ y ≤ ∞.
Therefore, the correct answer is -5 ≤ y < ∞.
The better your time management skills are, the more work you are able to do is an example of a Continuous correlation Biserial correlation O Positive correlation O Negative correlation
The time management skill and amount of work done is an example of positive correlation.
Correlation or dependency pertains to any statistical link involving two random variables or bivariate data, whether causal or not. Although the term "correlation" can refer to any form of link, in statistics it is most usually used to refer to the degree to which two variables are statistically linearly associated.
The link between the heights of parents and their children, as seen in the enough that demand curve, and the correlation between the price of an item and the quantity of items that buyers are willing to acquire are examples of dependent phenomena.
The Pearson product-moment correlation coefficient (PPMCC), sometimes known as "Pearson's correlation coefficient," is the most commonly used measure of two-value dependency.
It is computed by dividing the covariance ratio of the two variables in our numerical dataset by the square root of their variances. The covariance of the two variables is simply divided by the product of their standard deviations in mathematics. The coefficient was calculated by Karl Pearson from Francis Galton's similar but slightly different idea.
To learn more about correlation visit:
https://brainly.com/question/28898177
#SPJ4
