Answer:
The car is moved accross the y axis, then is moved down under the x axis. :)
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There are 4 red balls, 5 green balls and 2 black balls in a box. If a player draws 2 balls at random one by one with replacement, what is the probability that the balls are in (a) the same colour? (b) different colour?
The probability of getting balls of the same color is 45/121, and the probability of getting balls of different colors is 38/121.
(a) Probability that both balls are the same color:
To find the probability of getting two balls of the same color, first, we must find the probability of getting the first ball of any color and the probability of getting the second ball of the same color as the first ball. Here, 11 balls are there.
The probability of drawing a red ball on the first draw is 4/11, and the second draw is also 4/11.
Similarly, the probability of drawing a green ball on the first draw is 5/11, and the second draw is also 5/11. And, the probability of drawing a black ball on the first draw is 2/11, and the second draw is also 2/11.
Thus, the probability of getting two balls of the same color is the sum of the probability of getting two red balls, the probability of getting two green balls, or the probability of getting two black balls.
P(Two red balls) = 4/11 × 4/11 = 16/121
P(Two green balls) = 5/11 × 5/11 = 25/121
P(Two black balls) = 2/11 × 2/11 = 4/121
The total probability of getting two balls of the same color is:
P(Two balls of the same color) = P(Two red balls) + P(Two green balls) + P(Two black balls)= 16/121 + 25/121 + 4/121= 45/121
(b) Probability that both balls are of different colors:
To find the probability of getting two balls of different colors, we must find the probability of getting the first ball of one color and the second ball of another color.
Thus, the probability of getting two balls of different colors is the sum of the probability of getting a red ball and a green ball, the probability of getting a red ball and a black ball, or the probability of getting a green ball and a black ball.
P(Red ball and green ball) = 4/11 × 5/11 = 20/121
P(Red ball and black ball) = 4/11 × 2/11 = 8/121
P(Green ball and black ball) = 5/11 × 2/11 = 10/121
The total probability of getting two balls of different colors is:
P(Two balls of different colors) = P(Red ball and green ball) + P(Red ball and black ball) + P(Green ball and black ball) = 20/121 + 8/121 + 10/121= 38/121
Therefore, the probability of getting balls of the same color is 45/121, and the probability of getting balls of different colors is 38/121.
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Let A and B be the two non-right angles in a right triangle.
Answer:
Step-by-step explanation:
adjacent=5 ,hypotenuse13 opposite=?
hypotenuse^2=opposite^2+adjacent^2
13^2=opposite^2+5^2
169-25=opposite^2
\(\sqrt144\)=opposite
12=opposite
SinA=opposite/hypotenuse
12/13
therefore sinA =`12/13
A jar of olives had a circumference of 11. 99 cm. What was the approximate diameter of the jar?
If the jar of olives had a circumference of 11. 99 cm, the approximate diameter of the jar is 3.82 cm
The circumference of a circle is given by the formula C = 2πr, where C is the circumference, π is the constant pi (approximately equal to 3.14), and r is the radius. The diameter is twice the radius, so we can also write the formula as C = πd, where d is the diameter.
In this case, the circumference is 11.99 cm, so we can set up the equation
11.99 = πd
To solve for d, we can divide both sides by π
d = 11.99/π
Using a calculator, we get
d ≈ 3.82 cm
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Identify the domain of this relation. {(7,9), (4,6), (8, -10), (5, -7)}
Audrey spent two weeks in Brazil. This is twice as many days as she spent in Bolivia. How days did Audrey spend in these countries
the total number of days spent in Bolivia by Audrey is 7days.
Audrey spent two weeks in Brazil
that mean
the total number of days spent in Brazil by Audrey = 2x7
= 14 days
This is twice as many days as she spent in Bolivia.
2m = 14
m = 14/2
m = 7
so, the total number of days spent in Bolivia by Audrey = 7days
The term "week" most commonly refers to any span of seven continuous days. The term "week" is also frequently used to describe the seven-day period that runs from Sunday through Saturday (though in some places this may be different, with the week considered to begin on Monday, for example)
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Determine the next three numbers in this arithmetic sequence: 8, 13, 18, 23
Answer:
28, 33, 38
Step-by-step explanation:
You can see from the first 4 numbers that it is increasing by 5, so the next 3 numbers would be:
28, 33, 38
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
6. To decide whether the rain and the train running late are dependent or independent events, first define the two events and then write their probabilities as decimals. (3 points) Let event A = ________________________. P(A) = ______. Let event B = ________________________. P(B) = ______. A and B = ________________________. P(A and B) = ______. 7. Use the probabilities from question 6 to decide whether the rain and the train running late are independent or dependent events. (2 points: 1 point for the correct math, 1 point for the conclusion)
Answer:
Step-by-step explanation:
Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent
Answer:
The two are independent.
Step-by-step explanation:
verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13
Answer:
This is the distributive property
Step-by-step explanation:
You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.
For this example, they distributed a to both b and c making it a*b + a*c
This will result in the same answer:
3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13
3/5(-1.23..) = -6/5 + 30/65 (..= approx)
approximately- 0.74 = -0.74
A single train ticket cost $3.50.A book of 5 cost 15.00. How much money can be saved by buying a book of 5 tickets rather than 5single tickets?
Answer:
$2.50
Step-by-step explanation:
$3.50 * 5 = $17.50
$17.50 - $15.00 = $2.50
Hope this helps
Answer:
3.50 x 5 = 17.50 - 15.00 = 2.50
Step-by-step explanation:
youll save $2.50
factorise x² - 14x-40
Answer:
mabye like 40-14 and then figure out what it equals
A population of 35 foxes in a wildlife preserve doubles in size every 15 years. the function y=35•2^x , where x is the number of 15-year periods, models the population growth. how many foxes will be after 45 years?
Answer:
reee
Step-by-step explanation:
skreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
105
Step-by-step explanation:
15×3
45
35×3=105
for each model, choose categorical or numeric for the explanatory and response variables. for simple linear regression, the explanatory variable is
For simple linear regression, the explanatory variable is numeric.
What is simple linear regression?Simple linear regression is a statistical method that allows researchers to understand the relationship between two continuous variables. A simple linear regression model is used to represent the relationship between a dependent variable (Y) and an independent variable (X) by making a linear equation of the form
Y = a + bX, where a is the constant, and b is the regression coefficient.
In simple linear regression, the explanatory variable is of numeric type. This statistical method involves the use of two numeric variables, namely the explanatory (independent) variable and the response (dependent) variable, which are analyzed to establish a linear relationship between them.
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Are you smart? help me in this question please?
Answer:
Angle 1 = 38 and angle 4 = 142 degrees.
Answer:
Angle 1 is 38 degrees
Angle 4 is 142 degrees
Step-by-step explanation:
What is the x-intercept of the graph that is shown below?
Answer:
(-2, 0)
Step-by-step explanation:
its where the line crosses through the x-axis
In the diagram below, ABC ~ DEC. What is the value of x?
A. 2
B. 3.5
C. 2.5
D. 3
Answer:
x = 3
Step-by-step explanation:
Please refer to the attached photo. (Apologies for the terrible drawing.)
Since we know triangles ABC and DEC are similar, we can use the ratio method to find x.
\( \frac{ec}{bc} = \frac{ed}{ba} \\ \frac{25}{5} = \frac{18 - x}{x} \\ \frac{18 - x}{x} = 5 \\ 18 - x = 5x \\ 18 = 5x + x \\ 6x = 18 \\ x = \frac{18}{6} \\ = 3\)
A computer monitor has a width of 14.60 inches and a height of 10.95 inches. What is the area of the monitor display in square meters? area How many significant figures should there be in the answer? 2 3 4 5
The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.
The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.
The conversion factor from inches to meters is 0.0254 meters per inch.
Width in meters = 14.60 inches * 0.0254 meters/inch
Height in meters = 10.95 inches * 0.0254 meters/inch
Area = Width in meters * Height in meters
We calculate the area:
Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters
Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters
Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters
Now, we determine the number of significant figures.
The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.
Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.
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Which expressions are equivalent to 6\cdot6\cdot6\cdot6\cdot66⋅6⋅6⋅6⋅66, dot, 6, dot, 6, dot, 6, dot, 6 ?
The expressions equivalent to 6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 are 1296\cdot396\cdot2376 and 839808\cdot36.
Find out which expression is equivalent to the given expressions?We can use the associative property of multiplication to group the factors in different ways while preserving their product. For example, we can group the first four 6's together and then multiply by the remaining 6 and 66:
6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 = (6\cdot6\cdot6\cdot6)\cdot(6\cdot66)\cdot(6\cdot6\cdot66)
= 1296\cdot396\cdot2376
Alternatively, we can group the last two 6's together and then multiply by the remaining factors:
6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 = (6\cdot6\cdot6\cdot6\cdot66)\cdot(6\cdot6)
= 839808\cdot36 is the equivalent expression.
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The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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Bella made a drawing of her rectangular bedroom with the scale of
1 inch = 3 feet. The drawing was 6 inches long and 4 inches wide.
What is the actual area of Bella’s room?
Answer:
18 feet by 12 feet
just multiply by 3 and exchange the inch for feet to scale it up
Answer:
18 by 12 feet
Step-by-step explanation:
Find tan A ( write as a decimal rounded to the three decimal places) FIRST ANSWER GETS BRAINIEST
Answer:
\(tanA = \frac{28}{21 } = 1.333\)
Which mathematical operator is used to raise 5 to the second power in python? ^ / ** ~
In Python, the double asterisk (**) operator is used for exponentiation or raising a number to a power.
When you write 5 ** 2, it means "5 raised to the power of 2", which is equivalent to 5 multiplied by itself.
The base number is 5, and the exponent is 2.
The double asterisk operator (**) indicates exponentiation.
The number 5 is multiplied by itself 2 times: 5 * 5.
The result of the expression is 25.
So, 5 ** 2 evaluates to 25.
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if p(x) is the taylor series for f centered at 0, then p( x - 1 ) is the taylor series for f centered at 1. True or False
True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.
True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.
A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).
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Assume a company has two products-A and B--
that emerge from a joint process. Product A has
been allocated $24,000 of the total joint costs of
$48,000. A total of 2,000 units of Product A are
produced from the joint process.
Product A can be sold at the split-off point for $16
per unit, or it can be processed further for an
additional total cost of $14,500 and then sold for $25
per unit. What is the financial advantage
(disadvantage) of further processing Product A?
A -$3,500
B $3,500
C-$22,000
D $22,000
The financial advantage (disadvantage) of further processing Product A is $3,500.
To determine the financial advantage (disadvantage) of further processing Product A, we need to compare the revenues and costs associated with two alternatives: selling Product A at the split-off point or processing it further.
Selling at the split-off point:
The allocated joint costs for Product A are $24,000 out of the total joint costs of $48,000. Therefore, the remaining $24,000 of joint costs is allocated to Product B. Since the joint costs are allocated based on the relative value or volume of the products, we can assume that Product B has the same volume as Product A. Thus, the total volume of the joint process is 4,000 units (2,000 units of Product A + 2,000 units of Product B).
If Product A is sold at the split-off point for $16 per unit, the revenue generated would be $32,000 (2,000 units * $16 per unit).
Processing further:
To process Product A further, there is an additional total cost of $14
Therefore, the total cost of processing further and selling the processed units would be $38,000 ($24,000 allocated joint costs + $14,500 additional processing costs).
If Product A is processed further and sold for $25 per unit, the revenue generated would be $50,000 (2,000 units * $25 per unit).
To determine the financial advantage (disadvantage) of further processing, we need to compare the revenues and costs of the two alternatives:
Alternative 1: Selling at the split-off point
Revenue: $32,000
Cost: $24,000 (allocated joint costs)
Alternative 2: Processing further
Revenue: $50,000
Cost: $38,000 (allocated joint costs + additional processing costs)
To calculate the financial advantage (disadvantage), we subtract the costs of each alternative from the corresponding revenues:
Financial Advantage (Disadvantage) = Revenue - Cost
For Alternative 1:
$32,000 - $24,000 = $8,000
For Alternative 2:
$50,000 - $38,000 = $12,000
Since the financial advantage of processing further ($12,000) is higher than the financial advantage of selling at the split-off point ($8,000), we can conclude that the financial advantage of further processing Product A is $3,500 (Alternative 2 advantage - Alternative 1 advantage).
Therefore, the answer is B) $3,500.
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The answer is B: $3,500.
To determine the financial advantage or disadvantage of further processing Product A, we need to calculate the additional revenue generated from the processing and compare it to the additional cost incurred.
If Product A is sold at the split-off point for $16 per unit, the total revenue is:
$16 per unit x 2,000 units = $32,000
If Product A is processed further, the additional cost incurred is $14,500. However, the selling price per unit increases to $25 per unit, which generates additional revenue. The total revenue from selling the processed Product A is:
$25 per unit x 2,000 units = $50,000
Therefore, the additional revenue from processing Product A is:
$50,000 - $32,000 = $18,000
The financial advantage of further processing Product A is the additional revenue minus the additional cost incurred:
$18,000 - $14,500 = $3,500
It is important to note that this analysis only considers the financial aspect of the decision and does not take into account other factors such as market demand, product quality, and production capacity.
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help me plzzzzzzzzzzzzzzzzzz
Answer:
Regular
Step-by-step explanation:
If all of the sides are the same on any shape is regular.
|x|+4=-9 solve for absolute value
Answer:
no solution
Step-by-step explanation:
|x|+4=-9
Solving an absolute value equation
Subtract 4 from each side
|x|+4-4=-9-4
|x|=-13
Since |x| must be non-negative, there is no solution
Someone please help me with this geometry proof question ASAP!
Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
Please help asap
The number of people attending Convention A can be modeled by
f(x) = 1200 • 0.95^x, where x is the number of years that the convention has been
occurring. The number of people attending Convention B was 2200 in year 1 and 2100 in year 2. Which convention’s attendance is decreasing at a greater rate? Explain your reasoning.
For the given conditions convention B attendance is decreasing at a greater rate.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, the number of people attending convention A can be modeled by the function as,
f(x) = 1200 • 0.95ˣ
where x is the number of years that the convention has been occurring.
The number of people attending convention A in year 1,
f(x) = 1200 × 0.95¹
f(x) = 1140
The number of people attending convention A in year 2,
f(x) = 1200 × 0.95²
f(x) = 1083
The number of people decreasing in the Convention A,
=1140 - 1083
=57
If the number of people attending Convention B was 2200 in year 1 and 2100 in year 2. The number of people decreasing in the Convention B,
=2200-2100
=100
Thus, for the given conditions convention B attendance is decreasing at a greater rate.
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384.75 as a fraction
Answer:
1539/4 (improper fraction) or 384 3/4 (simplified fraction)
Step-by-step explanation:
To find the improper fraction, write 384.75 as a fraction:
384.75/1
Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:
38475/100
Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:
1539/4
To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:
384 3/4
Hope this helps :)
the mean average distance that jack runs in his last 10 runs is 5.7 miles. work out the distance that he would need to make this exactly 6 miles
Answer:
9 miles
Step-by-step explanation:
mean is calculated as
mean = \(\frac{sum}{count}\) , then
\(\frac{sum}{10}\) = 5.7 ( multiply both sides by 10 )
sum = 57
let x be the distance he needs to cover so mean is 6 , that is
\(\frac{sum+x}{11}\) = 6 ( multiply both sides by 11 )
sum + x = 66 , that is
57 + x = 66 ( subtract 57 from both sides )
x = 9
That is he would have to run 9 miles
How many total minutes is the Express train stopped from 7:00 am until 8:30 a.m