3y + 2 = -6x
in slope-intercept form : y=mx+b
oh and please show work! Thank youuu
Answers
Just have to Subtract two on both sides the. Divide all numbers by 3
Could you please mark me brainleist
Answer:
y= -2x- \(\frac{2}{3}\)
Step-by-step explanation:
3y+2=-6x
3y=-6x-2
y= \(\frac{-6}{3}\)x - \(\frac{2}{3}\)
y= -2x - \(\frac{2}{3}\)
You isolate for y in this example by moving the 2 to the other side and then dividing the -6x and -2 by 3 to get the y by itself.
Related Questions
Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose that Y is a random variable with mean 40 and standard deviation 7. Find the mean and the variance of the random variable Z for each of the following cases. Be sure to show your work.
(a) Z = 40 - 5X
(b) Z = 15X - 20
(c) Z = X + Y
(d) Z = X - Y
(e) Z = -2X + 3Y
Answers
(a) The mean of Z in case (a) is -60 and the variance is 400.
(b) The mean of Z in case (b) is 280 and the variance is 3600.
(c) The mean of Z in case (c) is 60 and the variance is 65.
(d) The mean of Z in case (d) is -20 and the variance is 65.
(e) The mean of Z in case (e) is 80 and the variance is 505.
To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.
(a) Z = 40 - 5X
Mean of Z:
E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60
Variance of Z:
Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400
Therefore, the mean of Z in case (a) is -60 and the variance is 400.
(b) Z = 15X - 20
Mean of Z:
E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280
Variance of Z:
Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600
Therefore, the mean of Z in case (b) is 280 and the variance is 3600.
(c) Z = X + Y
Mean of Z:
E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60
Variance of Z:
Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (c) is 60 and the variance is 65.
(d) Z = X - Y
Mean of Z:
E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20
Variance of Z:
Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (d) is -20 and the variance is 65.
(e) Z = -2X + 3Y
Mean of Z:
E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80
Variance of Z:
Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505
Therefore, the mean of Z in case (e) is 80 and the variance is 505.
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an automobile speedometer with circular scales reading both miles per hour and kilometers per hour is shown. what speed is indicated in kilometers per hour?
Answers
The
speed
indicated in kilometers per hour is 85 km/h, as shown on the circular scale of the automobile
speedometer
.
The automobile
speedometer
is an instrument that measures the speed of a vehicle. It has a circular
scale
that reads both miles per hour (mph) and kilometers per hour (km/h). To determine the
speed
in kilometers per hour, the user must first locate the needle on the scale. The needle should be pointing to a specific number that corresponds to both mph and km/h. For example, if the needle is pointing to 85, then the speed indicated in kilometers per hour is 85 km/h. It is important to note that if the needle is located between two
numbers
, the user should determine the approximate speed by interpolating the two numbers. To find the speed in miles per hour, the user can simply look at the number that corresponds to the needle on the scale. In this case, the speed indicated in miles per hour is 53 mph.
The complete question: An automobile speedometer with circular scales reading both miles per hour and kilometers por hour is shown. What speed is indicated in miles per hour? 100 120 140 80 160 *60 180 200 40 20 220 Own 240 Express your answer in miles per hour v.2 mph
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speedometer
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what is the eccentricity of an infinitely long ellipse?
Answers
Answer:
1
Step-by-step explanation:
Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.
For 91-92; A dental surgery has two operation rooms. The service times are assumed to be independent, exponentially distributed with mean 15 minutes. Andrew arrives when both operation rooms are empty. Bob arrives 10 minutes later while Andrew is still under medical treatment. Another 20 minutes later Caroline arrives and both Andrew and Bob are still under treatment. No other patient arrives during this 30-minute interval. 91. What is the probability that Caroline will be ready before Andrew? A. 0.35 B. 0.25 C. 0.52 D. None of these 92. What is the probability that Caroline will be ready before Bob? A. 0.35 B. 0.25 C. 0.52
Answers
Answer:
91. The probability that Caroline will be ready before Andrew is 0.25 (Option B). Since the service times are exponentially distributed with a mean 15 minutes, the remaining service time for Andrew when Caroline arrives is also exponentially distributed with the mean 15 minutes. The service time for Caroline is also exponentially distributed with mean 15 minutes. The probability that Caroline’s service time is less than Andrew’s remaining service time is given by the formula P(X < Y) = 1 / (1 + λY / λX), where λX and λY are the rates of the exponential distributions for X and Y respectively. Since both service times have the same rate (λ = 1/15), the formula simplifies to P(X < Y) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Andrew is 0.25.
92. The probability that Caroline will be ready before Bob is 0.35 (Option A). Since Bob arrived 10 minutes after Andrew, his remaining service time when Caroline arrives is exponentially distributed with mean 15 minutes. Using the same formula as above, we get P(X < Y) = 1 / (1 + λY / λX) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Bob is 0.35.
1) Janet and Miriam each bought a bicycle for $140.
A few months later they both sold it...
Janet sold hers for 30% less than the original price (what she paid for it)
Miriam sold hers for 25% less than the original price (what she paid for
it)
How much more money did Miriam get than Janet?
Answers
Answer:
$7
Step-by-step explanation:
JANET:
140 * 0.7 = 98
MIRIAM:
140 * 0.75 = 105
105-98=7
simplify: 1 2/3 - 1/4
Answers
Answer:
\(1\frac{5}{12}\)
Step-by-step explanation:
\(1\frac{2}{3}-\frac{1}{4}\)
\(\mathrm{Subtract\;Whole\;Number}\)
\(1-0=1\)
\(\mathrm{Combine\;fraction}\)
\(\frac{2}{3}-\frac{1}{4}:\frac{5}{12}\)
\(=1+\frac{5}{12}\)
\(=1\frac{5}{12}\)
Hence, the answer is 1 5/12
~Lenvy~
1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate
⇒ \(1\frac{2}{3} = \frac{5}{3}\)
2. Now lets the change the base of both fractions into a common denominator and solve
⇒ \(\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}\)
Answer: \(\frac{17}{12}\) or \(1\frac{5}{12}\)
Hope that helps!
Which expression is equivalent to
(x + yi)(x − xyi - y), where i is
the imaginary unit?
Answers
Answer:
Step-by-step explanation:
What is the distance between the points E and F
Answers
Image transcription textOut of 600 people sampled, 102 received flu vaccinations this year. Based on this, construct a 99%
confidence interval for the true population proportion of people who received flu vaccinations this
year.
Give your answers as decimals, to three places
<p<... Show more
Answers
The 99% confidence interval for the true population proportion of people who received flu vaccinations this year is approximately 0.124 to 0.216.
To construct a confidence interval for the true population proportion of people who received flu vaccinations this year, we can use the formula for confidence intervals for proportions.
The formula is:
Confidence interval = sample proportion ± margin of error
where the sample proportion is the proportion of people in the sample who received flu vaccinations, and the margin of error takes into account the sample size and the desired level of confidence.
In this case, the sample proportion is 102/600 = 0.17 (rounded to three decimal places). The margin of error can be calculated using the formula:
Margin of error = critical value * standard error
The critical value is determined by the desired level of confidence and the corresponding z-value from the standard normal distribution. For a 99% confidence level, the critical value is approximately 2.576.
The standard error can be calculated using the formula:
Standard error = √(sample proportion * (1 - sample proportion) / sample size)
Plugging in the values, we get:
Standard error = √(0.17 * (1 - 0.17) / 600) ≈ 0.018
Now, we can calculate the margin of error:
Margin of error = 2.576 * 0.018 ≈ 0.046
Finally, we can construct the confidence interval:
Confidence interval = 0.17 ± 0.046
The lower bound of the confidence interval is 0.17 - 0.046 ≈ 0.124, and the upper bound is 0.17 + 0.046 ≈ 0.216.
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Describe the long run behavior of f(x)=5(2)x+1:
As x→−[infinity], f(x) =
As x→[infinity], f(x) =
Answers
The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.
The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.
As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1
As x approaches negative infinity, the value of the function approaches 1.
As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞
As x approaches positive infinity, the value of the function approaches infinity.
As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.
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Linear Algebra
If A, B, and C are nxn invertible matrices, does the equation C-1(A+X)B-1=In have a solution, X? if so, find it
Answers
Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.
Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.
Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.
Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.
Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.
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Si una empresa obtiene un préstamo de S/3000 a seis años de plazo, con una tasa de interés compuesto del 15 % anual capitalizable semestralmente, ¿qué monto debe pagar en la fecha de vencimiento y qué interés?
Answers
Answer:
VF= $3.281,42
Interes= 3.281,42 - 3.000= $281.42
Step-by-step explanation:
Dada la siguiente información:
Prestamo (P)= $3.000
Tasa (i)= 0,015/2= 0,0075
Cantidad de periodos (n)= 6*2= 12 semestres
Para calcular el valor final del prestamos, tenemos que usar la siguiente formula:
VF= P*(1 + i)^n
VF= 3.000*1,0075^12
VF= $3.281,42
Interes= 3.281,42 - 3.000= $281.42
One mole of n2 gas at stp will occupy what volume? 44.8 l 22.4 l 44.2 l 88.4 l none of these
Answers
One mole of nitrogen gas at STP (standard temperature and pressure) occupies a volume of 22.4 liters.
What is gas volume?
The volume of the a system is a crucial extensive criterion for describing it's own thermodynamic state in thermodynamics. The game's volume per unit of mass is known as the fixed volume, an intensive property. Volume depends on state and on other thermodynamic characteristics like pressure and temperature. The ideal gas law, for instance, relates the volume of an ideal gas to its pressure and temperature.
A system's physical volume might or might not match the control volume used it to study the system.
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Select all that apply. Proteins _____. are part of antibodies consist of amino acids contain carbon, hydrogen, oxygen, and nitrogen. are derived from fruits and vegetables
Answers
Answer:
parts of antibodiesconsist of amino acids containing carbon, hydrogen, oxygen, and nitrogenStep-by-step explanation:
Antibodies are immune system-related proteins called immunoglobulins.
Proteins are made up of amino acids, which are small organic molecules made up of carbon, hydrogen, nitrogen, and oxygen.
Hope that helps.
At what point should an open circle be drawn?
Answers
The point that should an open circle be drawn exists (0, 0).
What is meant by function ?A formula, rule, or regulation that establishes the link between the independent variable and the dependent variable (the dependent variable). As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. Generally speaking, there are four different types of functions. based on element One to One Function, Many to One Function, Into Function, One to One and Into Function.The first equation in the system is f(x) = -x, for x < 0.
This means when x=0, f(x) = f(0) = 0.
Since we have the inequality x<0, this means at the point (0, 0),
the point will be open and not filled in.
Therefore, the correct answer is option b) (0, 0).
The complete question is:
The function f(x) is to be graphed on a coordinate plane
At what point should an open circle be drawn?
a) (–1, 0)
b) (0, 0)
c) (0, 1)
d) (1, 0)
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it is estimated that the average principal owed for student loans in 2017 was $28,650 per student. if market rates go up and the interest rate for student loans increases from 5.05% to 6.8%, estimate how much more interest students will pay over a 10-year repayment period for this average amount owed, at the 6.8% rate as compared with a rate of 5.05%. round all figures to the nearest dollar.
Answers
For the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).
As given in the question,
Principal amount owed by student for student loan 'P' = $28,650
Rate of interest increases from 5.05% to 6.8%
Time period of repayment of student loan 'T' = 10-years
Interest for the first rate of interest 'R' = 5.05%
Interest = P ×( 1+ R/100)^T
= 28,650 × ( 1 + 5.05/100 ) ^10
= 28,650 × ( 1 + 0.0505 )^10
= 28,650 × 1.63667
= $46,890.6
Interest for the second rate of interest 'R' = 6.8%
Interest = P ×( 1+ R/100)^T
= 28,650 × ( 1 + 6.8/100 ) ^10
= 28,650 × ( 1 + 0.068 )^10
= 28,650 × 1.930689
= $55,314.2
Increase in interest amount for increase in rate of interest from 5.05% to 6.8%
= $( 55,314.2 - 46,890.6 )
= $8423.6
=$8424 ( nearest dollar)
Therefore, for the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).
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find x HELP PLEASEEEEEEEE with answers
Answers
Answer:
35 and 20
Step-by-step explanation:
→ For the 1st question utilise the fact angles in triangle add to 180
2x + 2x + 40 = 180
→ Simplify
4x = 140
→ Find x
x = 35
→ For second question all sides are the same ⇔ angles are the same
3x + 3x + 3x = 180
→ Solve
x = 20
Y=1/3x + ? DUE IN 2 MINS PLEASE HELP
Answers
Answer: Using the slope-intercept form, the y-intercept is 0 .
Step-by-step explanation:
'm so sorry :( i dont know if this right tho
Answer:
y = 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (3, 2) ← 2 points on the line
m = \(\frac{2-4}{3+3}\) = \(\frac{-2}{6}\) = - \(\frac{1}{3}\)
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{3} }\) = 3, thus
y = 3x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = 3x + 7 ← equation of perpendicular line
an experiment consists of tossing 4 unbiased coins simultaneously. the number of simple events in this experiment is question 20answer a. 10 b. 8 c. 16 d. 25
Answers
The number of simple events in this experiment is 16.
The correct answer to the given question is option c.
The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.
The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.
Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.
Therefore, the number of simple events in this experiment is 16, which is option (c).
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Carl Cornfield has been wondering whether he should plant white corn this year. He decides to sample 100 customers. 38% say they would purchase white corn. Carl wants to have a 95% confidence interval for this proportion.
The confidence interval is from 33% to 43% (to the nearest percent).
True
False
Answers
Answer:
true
Step-by-step explanation:
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.What is the equation of g(x)?
Answers
Answer: Your answer would be D:) g(x) = 5x – 10
Two charges, Q
1
=6.80×10
−9
C and Q
2
=6.20×10
−9
C lie on the y-axis an equal distance, d=0.77 m, from the origin. Q
1
is at (x=0,y=d) and Q
2
is at (x=0,y=−d). What is the x-component of the total electric field due to these two charges at a point on the x-axis a disistance 3d from the origin, at the point (x=3d,y=0) ? Give your answer in N/C to at least three significant figures to avoid being counted off due to rounding...
Answers
The x-component of the total electric field due to the two charges at a point on the x-axis a distance 3d from the origin, at the point (x = 3d, y = 0) is 3.962 N/C.
The electric field at point P which is located on the x-axis a distance 3d from the origin due to two charges Q1 and Q2 is a vector sum of the individual electric fields created by the two charges.
Electric field due to point charge Q at a distance r from the point charge Q can be calculated using Coulomb's law as:
E = k Q / r^2where k = 9 x 10^9 Nm^2/C^2 is the Coulomb's constant
Now, the electric field created by Q1 at point P isE1 = k Q1 / r^2where r is the distance between Q1 and P.
Here, Q1 is at a distance d from P on the y-axis and the distance between Q1 and P is given as:
r1 = sqrt[(3d)^2 + d^2] = sqrt(10) * d
We know that, Q1 = 6.80 x 10^-9 CE1 = 9 x 10^9 * 6.80 x 10^-9 / [sqrt(10) d]^2= 4.628 N/C
Again, the electric field created by Q2 at point P isE2 = k Q2 / r^2where r is the distance between Q2 and P.
Here, Q2 is at a distance d from P on the y-axis and the distance between Q2 and P is given as:
r2 = sqrt[(3d)^2 + d^2] = sqrt(10) * d
We know that, Q2 = 6.20 x 10^-9 CE2 = 9 x 10^9 * 6.20 x 10^-9 / [sqrt(10) d]^2= 4.208 N/C
The x-component of the electric field E1 along the x-axis will be zero, since it is perpendicular to the x-axis.
The x-component of the electric field E2 is directed towards the origin and is given as:
Ex2 = E2 cos θ = E2 (x / r2) = E2 [3d / sqrt(10) d]= 0.9407 * E2
Therefore, the x-component of the total electric field at point P due to the two charges is:
Ex = Ex1 + Ex2= 0 + 0.9407 * E2= 3.962 N/C (approx.)
Hence, the x-component of the total electric field due to the two charges at a point on the x-axis a distance 3d from the origin, at the point (x = 3d, y = 0) is 3.962 N/C.
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if -1 is a root of f(x), which of the following must be true
A. a factor of f(x) is (x-1)
B. a factor of f(x) is (x+1)
C. both (x-1) and (x+1) are factors of f(x)
D. neither (x-1) nor (x+1) is a factor of f(x)
Answers
Option (B) is correct, A factor of f(x) is x+1.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
Given that,
Function f(x) has one root, which is -1.
Implies that,
for the function f(x),
x = -1,
or (x+1) = 0,
So, (x+1) is the factor of the function f(x).
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Directions: Convert each 12-hour time to 24-hour time.
3:45 a.m. ______________
9:16 a.m. ______________
5:45 a.m. ______________
12:00 midnight ______________
12:00 noon ______________
Answers
Answer:
a. 3:45 a.m. = 3:345
b. 9:16 a.m. = 9:16
c. 12 ( midnight ) = 00:00
d. 12 ( noon ) = 12:00
i give brainliest lol
Answers
Answer:
its is A
Step-by-step explanation:
32.13 is 32 rounded to the nearest whole so then 32/4 and 4 represents events, so 32/4 is 8
Solve for y: 0.3y - 2 ≥ 7.
Answers
Answer:
y > 30
Step-by-step explanation:
0.3y-2>7
move the constant to the right side
0.3y>7+2
calculate
0.3y>9
divide both sides by 0.3
0.3y/0.3 = 9/0.3
calculate
y>30
Alfred draws candles randomly from a pack containing four colored candles of the same size and shape. there are two red candles one green candle and one blue candle. he draws one candle and then draws another candle without replacing the first one. find the probability of picking one red candle followed by another red candle and show the equation used.
Answers
To find the probability of picking one red candle followed by another red candle without replacement, we need to consider the total number of possible outcomes and the number of favorable outcomes. So the probability of picking one red candle followed by another red candle without replacement is 1/6.
First, let's determine the total number of possible outcomes. Alfred draws one candle from the pack, leaving 3 candles. Then, he draws another candle from the remaining 3 candles. The total number of possible outcomes is the product of the number of choices at each step, which is 4 choices for the first draw and 3 choices for the second draw, resulting in a total of 4 * 3 = 12 possible outcomes. Next, let's determine the number of favorable outcomes. To have a favorable outcome, Alfred needs to draw a red candle on both draws. Since there are 2 red candles in the pack, the number of favorable outcomes is 2 * 1 = 2.Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes. Therefore, the probability of picking one red candle followed by another red candle is 2/12 = 1/6.Equation used: Probability = Number of favorable outcomes / Total number of possible outcomes.
In conclusion, the probability of picking one red candle followed by another red candle without replacement is 1/6.
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if the demand curve shifts to the left, what happens to price and quantity?
Answers
Answer:
A lower price and quantity would result.
was there evidence to conclude that the average number of miles driven in ny is less than 12,200? explain.
Answers
I'm not aware of any concrete information to support the assertion that New Yorkers travel less than 12,200 miles per year on average.
The average number of miles driven can vary significantly based on a number of variables, including population density, demography of urban and rural areas, transportation infrastructure, and individual preferences.
The availability of alternate modes of transportation, changes in fuel prices, and changes in the general state of the economy can all have an impact on data on average miles driven.
It's impossible to say for sure whether the typical amount of miles driven in New York is less than 12,200 without access to particular data or a research.
However, because sample data can be influenced by bias and other kinds of inaccuracy, if this statistic was obtained from a sample of data, it might not correctly reflect the general average for the entire state.
A thorough and representative study would need to be carried out to precisely establish the typical amount of miles travelled in New York.
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a weighted coin has a 0.45 probability of landing on heads. if you toss the coin 6 times, what is the probability of getting heads exactly 4 times? ( round to three decimal places)
Answers
Answer:
\(0.186\)
Step-by-step explanation:
\(\mathrm{Solution,}\\\mathrm{Suppose\ getting\ head\ is\ a\ success\ and\ getting\ tail\ is\ a\ failure.}\\\mathrm{Now,}\\\mathrm{Probability\ of\ success(p)=0.45}\\\mathrm{Probability\ of\ failure(q)=1-p=1-0.45=0.55}\\\mathrm{Number\ of\ times\ experiment\ is\ done(n)=6}\\\mathrm{Number\ of\ success\ desired(r)=4}\\\mathrm{We\ use\ the\ formula,}\\\mathrm{P(r)=nCr\times p^r\times q^{n-r}}\\\mathrm{P(4)=6C4\times 0.45^4\times 0.55^{6-4}}=0.186}\)
\(\mathrm{So,\ the\ required\ probability\ is\ 0.186.}\)