Probability of drawing a red or white ball.
One ball is drawn at random from a box containing 4 red balls, 7 white balls, and 5 blue balls.
Determine the probability that the ball drawn is red or white.
The total number of balls in the box is 4+7+5=16 balls. The probability of drawing a red ball is 4/16. The probability of drawing a white ball is 7/16.The probability of drawing either a red or white ball is given by the sum of the individual probabilities. Hence, the probability of drawing a red or white ball is:(4/16) + (7/16) = (11/16)
Therefore, the probability that the ball drawn is red or white is 11/16.
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The price of a new car is $28,000. Assume that an individual makes a down payment of 25% toward the purchase of the car and secures financing for the balance at the rate of 6%/year compounded monthly. (Round your answers to the nearest cent. )
(a) What monthly payment will she be required to make if the car is financed over a period of 36 months? Over a period of 60 months?
36 months=$
60 months=$
(b) What will the interest charges be if she elects the 36-month plan? The 60-month plan?
36-month plan =$
60-month plan=$
(a) The monthly payment for a 36-month plan is $704.41, and for a 60-month plan is $488.08.
(b) The interest charges for the 36-month plan are $1,459.07, and for the 60-month plan are $3,369.10.
For a)
To calculate the monthly payment for a car loan, we need to use the formula for monthly payments:
M = [tex]P[r(1+r)^n / ((1+r)^n - 1)][/tex]
where M is the monthly payment, P is the principal (the loan amount), r is the monthly interest rate (the annual interest rate divided by 12), and n is the number of months over which the loan is to be repaid.
For the 36-month plan, the principal is 75% of $28,000, or $21,000. The monthly interest rate is 6% / 12, or 0.005. The number of months is 36. Plugging in these values, we get:
M = $[tex]21,000[0.005(1+0.005)^{36} / ((1+0.005)^{36} - 1)][/tex] = $704.41
For the 60-month plan, the principal, monthly interest rate, and a number of months are the same, but we change the number of months to 60:
M = $21,000[0.005[tex](1+0.005)^{60[/tex] / ([tex](1+0.005)^{60[/tex] - 1)] = $488.08
Therefore, the monthly payment for a 36-month plan is $704.41, and for a 60-month program is $488.08.
For b)
To calculate the total interest charges for the loan, we need to subtract the principal (the amount of the loan) from the total amount paid and round to the nearest cent:
For the 36-month plan, the total amount paid is $25,459.07 (36 x $704.41), so the interest charges are:
$25,459.07 - $21,000 = $4,459.07, rounded to $1,459.07
For the 60-month plan, the total amount paid is $29,284.80 (60 x $488.08), so the interest charges are:
$29,284.80 - $21,000 = $8,284.80, rounded to $3,369.10
Therefore, the interest charges for the 36-month plan are $1,459.07, and the 60-month plan are $3,369.10.
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In the diagram below, what is the measure of angle x?
Answer: C - 105
Step-by-step explanation:
75+75=150
360-150=210
210/2=105
Math Homework Due Tomorrow,PLEASE HELP.
The cards below have various rational numbers on them. Which of the following diagrams shows the numbers in correct sets?
Answer:
Looks like J is right.
Step-by-step explanation:
Because the others are not right, and J was what my calculator said the numbers belonged to as in groups.
(Brainliest please?)
Parker Paint has just created a new color, Sunset Orange, made by mixing 3 parts of Fire Red with 5 parts of Brilliant Yellow. A graph to help customers decide how much paint they need is hanging in the store. Use the point shown from the graph to help you decide how much Fire Red paint is needed to paint one 8 foot by 10 foot wall.
To paint an 8 foot by 10 foot wall with Sunset Orange, one needs 48 parts of Fire Red and 80 parts of Brilliant Yellow.Using the graph, we can calculate that for every 5 parts of Brilliant Yellow, 3 parts of Fire Red is needed.
Using the graph, we can calculate that for every 5 parts of Brilliant Yellow, 3 parts of Fire Red is needed. Since we need to paint an 8 foot by 10 foot wall, we need 80 square feet of paint. To calculate how much Fire Red is needed, we can use the equation: 3 parts of Fire Red = 5 parts of Brilliant Yellow. We can rearrange this equation to read: 5 parts of Brilliant Yellow = 3 parts of Fire Red. To get the amount of Fire Red required to paint the wall, we can multiply 80 (the square footage of the wall) by 3 and divide it by 5, giving us a total of 48 parts of Fire Red.
To paint an 8 foot by 10 foot wall with Sunset Orange, one needs 48 parts of Fire Red and 80 parts of Brilliant Yellow.
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1. use the quadratic equation to find the exact solutions to this equation, and simplify your answer: 2x^2 6x 12
As per the given statement, the quadratic equation is to be used to find the exact solutions to this equation, and the quadratic equation is given by [tex]ax² + bx + c = 0[/tex].
To solve the quadratic equation, we can use the quadratic formula given by[tex]x = (-b ± sqrt(b² - 4ac)) / 2a[/tex] Where x is the variable, a, b, and c are coefficients with a ≠ 0, and sqrt is the square root symbol.To find the exact solutions to this equation, we can use the quadratic formula with a = 2, b = 6, and c = 12.
Substituting these values in the quadratic formula, we get
[tex]x = (-6 ± sqrt(6² - 4 × 2 × 12)) / 2 × 2= (-6 ± sqrt(36 - 96)) / 4= (-6 ± sqrt(-60)) / 4= (-6 ± i√60) / 4= (-3 ± i√15) / 2[/tex]
Hence, the exact solutions to the given equation are [tex](-3 + i√15) / 2 and (-3 - i√15) / 2.[/tex]
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Write a word sentence for the question
x - 14 = 52
Answer:
x-14=52|+14
x=52+14
x=66 candies
Step-by-step explanation: If Anna gives 14 candies to her sister, she remains with 52. How many candies does Anna have ?
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
8 is subtracted from the cube of a number.
Answer: ChatGPT is acting weird
Step-by-step explanation:
The cube of a number x is represented as x^3, and 8 is subtracted from it.
So, the algebraic expression is:
x^3 - 8
Determine the surface area of the cylinder. (Use π = 3. 14)
net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches
157 in2
219. 8 in2
282. 6 in2
314 in2
The surface area of the cylinder with radius 5 inches and rectangle with height 4 inches is equal to 282.6 square inches.
Radius of the base = 5 inches
Height of the rectangle = 4 inches
Surface area of a cylinder
= area of the top and bottom circular faces + the area of the curved surface.
Here,
Rectangle represents the curved surface of the cylinder, with a height of 4 inches and a length equal to the circumference of the base.
Circumference of the base is equal to,
Circumference
= 2πr
= 2 x 3.14 x 5
= 31.4 inches (approx.)
Area of the curved surface of the cylinder is ,
Curved surface area
= Length x Height
= 31.4 inches x 4 inches
= 125.6 square inches
Area of each circular face of the cylinder is ,
Circular face area
= πr²
= 3.14 x 5²
= 78.5 square inches
Substitute the value to get total surface area of the cylinder we have,
Total surface area of the cylinder
= 2 x Circular face area + Curved surface area
= 2 x 78.5 square inches + 125.6 square inches
= 282.6 square inches (approx.)
Therefore, the surface area of the cylinder is approximately equal to 282.6 square inches.
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a normal population with unknown variance has a mean of 20. is one likely to obtain a random sample of size 9 from this population with a mean of 24 and a standard deviation of 4.1? if not, what conclusion would you draw?
We can conclude that it is unlikely to obtain a random sample of size 9 from this population with a mean of 24 and a standard deviation of 4.1 because the sample mean of 24 is different from the population mean of 20.
To answer this question, we can use a t-test to determine if the sample mean of 24 is significantly different from the population mean of 20.
The t-test formula is:
t = (x' - μ) / (s / √(n))
Where x' is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.
Plugging in the values given in the question, we get:
t = (24 - 20) / (4.1 / √(9)) = 2.93
To determine if this t-value is significant, we need to compare it to the critical t-value for a two-tailed test with 8 degrees of freedom (n-1). Using a t-table or calculator, we find the critical t-value to be approximately 2.31 at a 5% significance level.
Since our calculated t-value of 2.93 is greater than the critical t-value of 2.31, we can reject the null hypothesis that the sample mean is equal to the population mean.
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find a equation of the line through the point(-6,-5) and (-1,1))
a. y=6/5x + 11/5
b. y=6/5x - 11/6
c. y=6/5x
or
d. y=6/5x + 11/6
Answer:
The slope of the line passing through the points (-6,-5) and (-1,1) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-6,-5) and (x2, y2) = (-1,1)
slope = (1 - (-5)) / (-1 - (-6)) = 6/5
Now, using point-slope form of the equation of a line, we get:
y - y1 = m(x - x1)
where m = 6/5 and (x1, y1) = (-6,-5)
y + 5 = 6/5(x + 6)
y + 5 = 6/5x + 6.72
y = 6/5x + 6.72 - 5
y = 6/5x + 1.72
Therefore, the equation of the line passing through the points (-6,-5) and (-1,1) is:
y = 6/5x + 1.72
Option (c) y=6/5x is not the correct equation of the line. The correct answer is (d) y=6/5x + 11/6.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x-11)⁰
23°
PLS HURRY PLS !! :(
Answer:
x = 13°
Step-by-step explanation:
-> all angles of triangle add up to 180°
-> right angle = 90°
-> GIVEN: 90° and 23°
90° + 23° + (6x-11) = 180°
6x-11 = 67°
6x = 78°
[tex]\frac{6x}{6} =\frac{78}{6}[/tex]
x = 13°
what does the greek letter delta that is represented by a ∆ mean?
Answer:
“change” or “the change”
Step-by-step explanation:
ginas journal has a square cover with the side length shown. what is the perimeter of the journal? what is the area of the jouranl?
The given is of the square cover of Gina's journal with a side length of 24 cm. So the perimeter of the journal is 96 cm and the area of the journal would be 576 square cm.
If Gina’s journal has a square cover with a side length of 24 cm, then the perimeter of the journal would be 4 times the side length,
Which is 4 x 24 = 96 cm.
To calculate the area of a square, you need to multiply the length of one of its sides by itself.
The formula for the area of a square is,
Area = Side x Side or Area = Side².
Therefore, the area of the journal would be the side length squared,
Which is 24 x 24 = 576 square cm.
Question: Gina's journal has a square cover with the side length shown as 24 cm. what is the perimeter of the journal? what is the area of the journal?
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QUESTION 8
In the figure to the right, AB is parallel to CD.
What is the value of m?
A. 7°
B. 44°
C. 46°
D. 49°
Answer: B. 44°
if i'm wrong then its C
A circular cookie cake costs $14.13. if the diameter of the cookie cake is 6 inches, what is the approximate cost per square inch of the cookie cake? use π = 3.14. a. $0.13 b. $0.25 c. $0.50 d. $0.75
The approximate price per square inch of the cookie cake is $0.50
The area of a circle is given through the formulation:
A = πr^2
In which r is the radius of the circle.
for the reason that diameter of the cookie cake is 6 inches, the radius is half of of that, or three inches.
Substituting this into the formulation, we've:
A = π(3^2) = 28.26 square inches (approximate)
The value per square inch is the overall value of the cookie cake divided with the aid of its area:
value per square inch = $14.13 / 28.26 sq.in = $0.50 (approximate)
Therefore, the approximate price per square inch of the cookie cake is $0.50
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How do I solve for x and y?
Answer:
x = 80
y = 160
Step-by-step explanation:
The sum of all arc measures that make up a circle is 360°. Therefore:
[tex]\implies 200^{\circ} + y^{\circ} = 360^{\circ}[/tex]
[tex]\implies 200^{\circ} + y^{\circ} - 200^{\circ} = 360^{\circ} - 200^{\circ}[/tex]
[tex]\implies y^{\circ} = 160^{\circ}[/tex]
[tex]\implies y=160[/tex]
Tangent and Intersected Chord TheoremIf a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc.
Therefore, according to the Tangent and Intersected Chord Theorem, the measure of angle x is equal to half of the measure of arc y:
[tex]\implies x^{\circ}=\dfrac{1}{2} y^{\circ}[/tex]
[tex]\implies x^{\circ}=\dfrac{1}{2} \cdot 160^{\circ}[/tex]
[tex]\implies x^{\circ}=80^{\circ}[/tex]
[tex]\implies x=80[/tex]
[tex]\hrulefill[/tex]
Circle Theorem vocabularyChord: A straight line joining two points on the circle.Tangent: A straight line that touches a circle at only one point.Arc: the curve between two points on the circumference of a circleIntercepted arc: The curve between the points where two chords or line segments intercept the circumference of a circle.An aquarium tank holds 190 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3. 8 liters. What is the Answer?
The aquarium tank that holds 190 liters of water equals to 50.15 gallons. Therefore, the answer to the given problem is 50.15 gallons.
Conversion factors are the ratios that describe the numerical relationship between two units of measurement.
The conversion factor of liters to gallons is 1 gallon is 3.8 liters.
Therefore, by multiplying the given value of liters by the conversion factor of liters to gallons, we can convert liters to gallons.
190 liters x 1 gallon/3.8 liters = 50.15 gallons
Thus, the aquarium tank that holds 190 liters of water equals to 50.15 gallons.
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The forecast maximum temperature, in degrees Celsius, and the observed maximum temperature are recorded to determine the accuracy in the temperature prediction models used by the weather bureau.
Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.
what is correlation coefficient ?The strength and direction of the linear connection between two variables are measured by the correlation coefficient. Its value goes from -1 to 1, and it is represented by the symbol "r". A perfect negative correlation, or r = -1, implies that as one variable rises, the other variable falls in an exact predictable manner. There is no linear relationship between the two variables if r = 0, which implies there is no correlation between the two variables. When r = 1, there is a perfect positive correlation, meaning that when one measure rises, the other rises in an exact predictable manner.
given
The maximum temperature for a specific day is shown in the provided image alongside the predicted maximum temperature.
The blue line depicts the expected maximum temperature, while the red line depicts the actual maximum temperature.
We can see that throughout the day, the forecast temperature is typically greater than the actual temperature.
Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.
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A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet. Find the distance from the wall to the bottom of the ladder if the length of the ladder is one foot more than twice it's distance from the wall
The distance from the wall to the bottom of the ladder is approximately 5.97 feet.
Let's denote the distance from the wall to the bottom of the ladder as x, and the length of the ladder as y. We know that the top of the ladder touches the wall at a height of 15 feet, which means that the vertical distance from the ground to the top of the ladder is also 15 feet.
By using the Pythagorean theorem, we can write:
y² = x² + 15²
We also know that the length of the ladder is one foot more than twice its distance from the wall, which can be written as:
y = 2x + 1
We can substitute this expression for y into the previous equation and get:
(2x + 1)² = x² + 225
Expanding the left side and simplifying, we get:
3x² + 4x - 224 = 0
This is a quadratic equation, which we can solve using the quadratic formula:
x = (-4 ± √(4² - 43(-224))) / (2×3)
x = (-4 ± √(4 + 2688)) / 6
x ≈ -13.31 or x ≈ 5.97
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The Sport Bat Corporation manufactures baseball bats for professional baseball teams. The company needs
capital to upgrade their equipment now that they are experiencing a good level of success. They look to borrow
$2 million to perform the upgrade. Explain how this need for capital will spread through the financial system.
The need for capital by the Sport Bat Corporation will spread through the financial system as it interacts with banks, investors, and the broader financial markets.
How the need for capital will spread throughout the system?When the Sport Bat Corporation needs to borrow $2 million to upgrade their equipment, they will likely seek a loan from a financial institution, such as a bank. The bank will evaluate the creditworthiness of the company and may require collateral or a personal guarantee before approving the loan.
Once the loan is approved, the bank will add the Sport Bat Corporation's loan to their portfolio of assets. The bank may choose to sell the loan to other investors, such as insurance companies or pension funds, to diversify their portfolio and manage risk.
These investors will then receive the interest payments on the loan as a source of income. The loan may be bundled together with other loans and sold as a package, called a securitization, to other investors in the financial markets, thus representing the spread of the loan throughout the financial system.
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Help againnnn pleaseeee
Answer:
20- gon
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
given the sum of the interior angles is 3240° , then
180° (n - 2) = 3240 ( divide both sides by 180° )
n - 2 = 18 ( add 2 to both sides )
n = 20
then the polygon is a 20- gon
Ethan is older than Jordan. Their ages are consecutive integers. Find Ethan’s age if the sum of the square of Ethan’s age is 4 times Jordan’s age is 56.
If the square of Ethan's age is added to Jordan's age, the result is [tex]56[/tex], which equals Ethan's age. The answer is that Ethan is [tex]6[/tex] years old.
How can you calculate age using maths?A person's birth date is compared to the day on which their age has to be computed as part of the age calculation process. The age of the individual is calculated by subtracting the person's age from the given date. Provided Date - Birthdate is used to compute age.
How can ageing be quantified?A person's age is merely a measurement of how long they have been living. These metrics don't adequately describe who you are or what you have accomplished. At any age, either old or young, one may do anything.
The solution states that [tex]56[/tex] is equal to [tex]4[/tex] times Jordan's age multiplied by the square of Ethan's age. This may be expressed as an equation:
[tex]x^2 + 4(x-1) = 56[/tex]
Simplifying the equation:
[tex]x^2 + 4x - 4 = 56[/tex]
[tex]x^2 + 4x - 60 = 0[/tex]
We can solve this quadratic equation by factoring:
(x+10)(x-6) = 0
Therefore, [tex]x = -10[/tex] or [tex]x = 6[/tex]. We can discard the negative value since age cannot be negative, so Ethan's age is [tex]6[/tex].
To check, we can substitute x=6 into the original equation:
[tex]6^2 + 4(6-1) = 36 + 20 = 56[/tex]
So the solution is Ethan is [tex]6[/tex] years old.
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Please help with these two questions if you are good at vertical angles! thank you!!
Step-by-step explanation:
Blank 1 = 82
Blank 2 = 82
Blank 3 = 98
Find the sum of the first 48 terms of the following series, to the nearest integer.
5,9,13,. ???
The sum of the first 48 terms of the following series, to the nearest integer is 4632.
An computation progression( AP) is a sequence of figures where the differences between every two successive terms are the same. In this progression, each term, except the first term, is attained by adding a fixed number to its former term. This fixed number is known as the common difference and is denoted by'd'. The first term of an computation progression is generally denoted by' a' or' a1'.
We have series as,
5,9,13,....48
so we have
First term = a = 5
Last term T = 48
Interval between them as d = 9 - 5 = 4
To find the sum of the first 48 terms we have formula as,
[tex]S = \frac{n}{2} [a+(n-1)d]\\[/tex]
putting the value of the values in the equation,
[tex]S = \frac{48}{2} [5+(48-1)4]\\\\S = 24[5+188]\\\\S = 4632\\[/tex]
Therefore, the sum of the first 48 terms is 4632.
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I am a triangle
My base is 32
My second base is two times for the first base
My hight is 21.6
What is my area?
Answer: The area of a triangle is 1036.8 square units.
To find the area of a triangle, we can use the formula
Area = (1/2) * base * height
In this case, we are given that the first base is 32 and the second base is twice the first base, or 2*32 = 64. The height is given as 21.6. Therefore, we can plug these values into the formula and solve for the area:
Area = (1/2) * (32 + 64) * 21.6
Area = (1/2) * 96 * 21.6
Area = 1036.8
Therefore, the area of the triangle is 1036.8 square units.
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a child-care center has 200 feet of fencing to enclose two adjacent rectangular safe play areas (of equal size). find the dimensions that will produce the maximum enclosed area. 5
The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.
To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.
Since the two play areas must be of equal size, let's call the length and width l and w, respectively.
We know that the total length of fencing is 200 feet, so l + w = 200 feet.
We can then solve for l by rearranging the equation as l = 200 - w.
We then substitute this into the area equation to get A = (200 - w)w.
To maximize the area, differentiate this equation to get A' = w - 200.
Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.
Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.
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In an election, there were three candidates;⅔ of the electors voted for the first candidates,¼ for the second candidate and the rest for the third candidate. If the third candidate got 3290 votes, how many votes did the winner get? Solve this and show All your workings
The winner of the election got 26320 votes.
Let's first find the total number of votes cast in the election. We know that 2/3 fraction of the electors voted for the first candidate and 1/4 of the electors voted for the second candidate. Therefore, the remaining 1/12 of the electors voted for the third candidate. So, we have:
2/3 + 1/4 + 1/12 = 8/12 + 3/12 + 1/12 = 12/12 = 1
This means that all the electors voted, and the total number of votes cast is equal to the total number of electors.
Now, let's find the number of votes the third candidate got, which is 1/12 of the total number of votes. We know that this is equal to 3290. So, we have
1/12 x Total Number of Votes = 3290
Multiplying both sides by 12, we get:
Total Number of Votes = 3290 x 12 = 39480
Now, we can find the number of votes the first candidate got, which is 2/3 of the total number of votes. We have:
2/3 x Total Number of Votes = 2/3 x 39480 = 26320 votes
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a bag contains 13 balls numbered 1 through 13. what is the probability of selecting a ball that has an even number?
The probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615. This is because out of the 13 balls, 6 of them have even numbers.
To calculate the probability, we use the formula:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
In this case, the favorable outcomes would be the number of even numbers, which is 6. The total number of outcomes would be 13 (the total number of balls in the bag). Therefore, the probability of selecting a ball that has an even number is 6/13.
Another way to look at this is to think of the probability as the ratio of favorable outcomes to total possible outcomes. In this case, the ratio is 6:13, which can be simplified to 3:6 or 1:2. Since one out of every two outcomes is favorable, the probability is 0.5, which is the same as 6/13.
To further understand the concept of probability, consider the example of a fair coin. If a fair coin is flipped, the probability of getting either heads or tails is 50%. This is because the ratio of favorable outcomes (one head and one tail) to total possible outcomes (two heads and two tails) is 1:2.
In conclusion, the probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615.
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the slope of a street is 0.54. if it covers 28m of horizontal distance, what is the rise of the street?
Answer: i believe its 15.12
Step-by-step explanation:
WILL MARK AS BRAINLEIST: QUICKLY PLEASE
Picture better demonstrate the graph and equations.
Use Newton's Method to find the two solutions of e^2= 6x to six significant figures.
For this problem you will need to use the fact that the exponential equals its own derivative, i.e.,
(d/dx) e^x = e^x
Xleft =_____
Fright=_____
The two solutions to e² = 6x using Newton's method are x_left = 1.23151 and x_right = 2.157545.
What is the solution of the function?To find the solutions of e² = 6x using Newton's Method, we will follow these steps:
Let f(x) = e² - 6x. Then we want to find the roots of f(x) = 0, which are the solutions to e² = 6x.
We need to choose a starting point x₀. A good choice is x₀ = 1, since it's a reasonable approximation to the solutions.
Apply Newton's Method to find the next approximation x₁:
x₁ = x₀ - f(x₀)/f'(x₀),
where;
f'(x) = -6 is the derivative of f(x).Plugging in the values, we get:
x₁ = x₀ - (e² - 6x₀)/(-6) = x₀ + (e²/6 - x₀)
Use x₁ as the new starting point and repeat the process until we achieve the desired level of accuracy.
In this case, we want to find the solutions to six significant figures, so we will repeat the process until the difference between xₙ and xₙ₋₁ is less than 0.000005 (the sixth decimal place).
Using a calculator, we can apply Newton's Method iteratively to find the two solutions:
Iteration 1:
x₁ = x₀ - f(x₀) / f'(x₀)
x₁ = 1 - (e² - 6)/(-6) = 1.231509
Iteration 2:
x₂ = 1.231509 - (e² - 6)/(-6) = 1.463018
Iteration 3:
x₃ = 1.463018 - (e² - 6)/(-6) = 1.694527
Iteration 4:
x₄ = 1.694527 - (e² - 6)/(-6) = 1.926036
Iteration 5:
x₅ = 1.926036 - (e² - 6)/(-6) = 2.157545
The second solution to six significant figures is x_right = 2.157545
Learn more about Newton's method here: https://brainly.com/question/14279052
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