The probability that exactly 3 jellies selected are yellow is 0.2149.
Given that the box contains 19 yellow, 31 green, and 32 red jelly beans. Therefore, the probability of getting a yellow jelly bean is,
Probability of Yellow jelly beans
= Number of Yellow jelly beans / Total number of jelly beans in the box
= 19 / (19 + 31 + 32)
= 19 / 82
= 0.2317
Now, as per the binomial probability distribution:
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Therefore, the probability of getting exactly 3 yellow jelly beans is:
P(x=3) = ⁹C₃ (0.2317³) (1-0.2317)⁽⁹⁻³⁾
= 84 × 0.012438 × 0.205676
= 0.2149
Hence, the probability is 0.2149.
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Pls help ignore the answer I don’t know if it’s right or wrong
Answer:
I think it's D
Step-by-step explanation:
I think it's D bc (3, 3) are the same and parallel lines are the same
____
____
-this is an example of parallel lines
Hope this helps
identify the type of data (qualitative/quantitative) and the level of measurement for satifiscation ratings of customers classigied as high medium low classified as
The type of data for satisfaction ratings of customers classified as high, medium, or low is qualitative. The level of measurement for this data is ordinal.
Qualitative data refers to non-numerical information that describes qualities or attributes. In this case, the satisfaction ratings of customers are categorized as high, medium, or low, indicating different levels of satisfaction rather than numerical values.
The level of measurement for qualitative data can be nominal or ordinal. Nominal data categorizes items into distinct groups without any inherent order, while ordinal data maintains the distinct categories but also has an ordered relationship between them.
In the given scenario, the satisfaction ratings are classified as high, medium, or low, which demonstrates an ordered relationship. However, the numerical values or specific intervals between the categories are not defined. Therefore, the data is qualitative and the level of measurement is ordinal.
The satisfaction ratings of customers classified as high, medium, or low are qualitative data with an ordinal level of measurement, indicating an ordered relationship among the categories of satisfaction.
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The point B lies on the segment AC.
Find the coordinates of B so that the ratio of A B to B C is 7 to 2.
C (5,4),
B (?,?)
A (-22, -32)
Using proportions, the coordinates of B are given as follows: (-1, -4).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The ratio of AB to BC is 7 to 2, meaning that B is 7/9 of the way from A to C, hence the following equation can be built:
B - A = 7/9(C - A)
The x-coordinate of B is found as follows:
x + 22 = 7/9(5 + 22)
x + 22 = 7 x 3
x + 22 = 21
x = -1.
The y-coordinate of B is found as follows:
y + 32 = 7/9(4 + 32)
y + 32 = 7 x 4
y + 32 = 28.
y = -4.
The coordinates of B are given as follows: (-1, -4).
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Multiply. Write each product in simplest form.
9. 3×11
10. //
13. 021-
12.
20
=
=
=
11. 2×4=
8 9
X
18 20
14.
=
Answer:
Te conozco y sé qué
Como Nuevo de fabrica el otro
4x+13x=119 what does x=?
x=7
Answer:
x = 7
Step-by-step explanation:
Given
4x + 13x = 119 ( collect like terms on left side )
17x = 119 ( divide both sides by 17 )
x = 7
Answer:
x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+13x=119
Step 1: Simplify both sides of the equation.
4x+13x=119
(4x+13x)=119(Combine Like Terms)
17x=119
17x=119
Step 2: Divide both sides by 17.
17x
17
=
119
17
x=7
Answer:
x=7
Find the equation of the normal line of \( y=2 x^{2}+4 x-3 \) at point \( (0,-3) \). A. \( y=4 x-3 \) B. \( 4 y=-x-12 \) C. \( y=-3 x-3 \) D. \( 3 y=x-9 \)
To find the equation of the normal line of the given curve \(y = 2x^2 + 4x - 3\) at the point \((0, -3)\), we need to determine the slope of the tangent line at that point and then find the negative reciprocal of the slope.
The equation of the normal line can then be determined using the point-slope form. The derivative of the curve \(y = 2x^2 + 4x - 3\) gives us the slope of the tangent line. Taking the derivative of the function, we get \(y' = 4x + 4\). Evaluating this derivative at \(x = 0\) (since the point of interest is \((0, -3)\)), we find that the slope of the tangent line is \(m = 4(0) + 4 = 4\).
The slope of the normal line is the negative reciprocal of the slope of the tangent line, which gives us \(m_{\text{normal}} = -\frac{1}{4}\). Using the point-slope form of a line, we can plug in the values of the point \((0, -3)\) and the slope \(-\frac{1}{4}\) to obtain the equation of the normal line.
Using the point-slope form \(y - y_1 = m(x - x_1)\) and substituting \(x_1 = 0\), \(y_1 = -3\), and \(m = -\frac{1}{4}\), we can simplify the equation to \(y - (-3) = -\frac{1}{4}(x - 0)\), which simplifies further to \(y + 3 = -\frac{1}{4}x\).
Rearranging the equation, we get \(4y = -x - 12\), which is equivalent to the equation \(x + 4y = -12\). Therefore, the correct answer is B. \(4y = -x - 12\).
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which is the better deal 18 oz for 6.60 or 12 oz for 4.75
The better deal is given by the equation A = 18 ounces for 6.60
Given data ,
Let the equation be represented as A
Now , For 18 oz for $6.60
Price per ounce = Total cost / Total ounces = $6.60 / 18 oz ≈ $0.3667 per oz
And , for 12 oz for $4.75
Price per ounce = Total cost / Total ounces = $4.75 / 12 oz ≈ $0.3958 per oz
Comparing the two price per ounce values, we can see that the price per ounce for 18 oz for $6.60 is lower than the price per ounce for 12 oz for $4.75
Hence , the better deal is 18 oz for $6.60
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What does the y-intercept represent in this situation? the maximum weight allowed in a shipment the minimum weight of a single box of screws the minimum number of screws in a single box the maximum number of single boxes for a shipment
The y-intercept represents a. the maximum weight allowed in a shipment.
Given: The graph is between the Amount of allowed weight remaining Vs the Number of boxes included.
What is a graph?
A graph is a diagram or the representation of variations between two or more variables with respect to each other.
A graph consists of dependent and independent variables. We usually plot the response of the dependent variable with the change in the value of the independent variable.
What is y-intercept?
The y-intercept is the point on the y-axis that a given equation of line or a curve passes through when the value of x = 0. It can denote either the minimum value for a function is the function is increasing the the initial point is the y intercept or the maximum value for a decreasing function if the y-intercept is the initial point.
Let's solve the question:
It is given in the question that the graph is of Amount of allowed weight remaining Vs the Number of boxes.
As it is "Amount of weight remaining", so we can interpret that it is a decreasing curve with the increase in the number of boxes or in simple words the value of y will keep decreasing with the increasing number of x value.
Therefore, for this graph the y-intercept will show the maximum weight remaining or as it is the y-intercept that is x = 0, which means when there are no boxes the maximum weight remaining is y-intercept. So it the maximum weight allowed in the shipment.
Hence the answer is a. the maximum weight allowed in a shipment.
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Disclaimer: The given question is incomplete. The complete question is mentioned below:
One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?
a. the maximum weight allowed in a shipment.
b. the minimum weight of a single box of screws.
c. the minimum number of screws in a single box.
d. the maximum number of single boxes for a shipment.
Which expression does not factor? m3 1 m3 – 1 m2 1 m2 – 1
The expression that does not factor on the mentioned is m² + 1.
Why it cannot be factor?Because other expression can be factored, while m² + 1 has no factor form. For make it clear we can calculate to find the form expression and find the calculate power or result.
m³ + 1 =
The formula to calculate it is, a³ + b³ = m³ + 1³ And then it could be, (m + 1) (m² - m + 1).m³ - 1 =
The formula to calculate it is, a³ + b³ = m³ - 1³ a³ + b³ = (a + b) (a² - ab + b²)And then the power could be, (m - 1)(m² + m + 1²) = (m-1)(m² + m + 1).m² - 1 =
The formula to calculate it is, a² - b² = (a + b)(a - b).and then it could be, m² - 1 = (m + 1)(m - 1).
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Angle formed by two parallel lines cut by a third line. These angles are in the same position and have the same angle measure
What is it?
Answer:
Corresponding angles
Step-by-step explanation:
The name of these angels lying in the same position are called corresponding angle.
These angles are equal. When we talk of parallel lines, they are sets of lines that travel in the same direction but never meet. The third line that cuts through the two sets of parallel lines is referred to as the transversal line.
So the positions of these angles on each of the set of the parallel lines are equal in each of the cases and they are equal and are referred to as being corresponding to each other
A. 3(x + 2) = 18
B. X + 2 = 18
Answer:
A. x=4
B. x=16
Step-by-step explanation:
A. multiply out: 3x+6=18
subtract 6 from both sides: 3x=12
divide both sides by 3: x=4
B. subtract 2 from both sides: x=16
can someone answer this question really quick
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answer:
56a+40b
Step-by-step explanation:
43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b
Citrus County's assets have an average duration of 8 and a market value of $1 million. The market interest rate is 5%. Use the duration formula to estimate the market value if the interest rate changes to 4%. 1,055,284 1,097.331
The estimated market value of Citrus County's assets, with an average duration of 8 and a market value of $1 million, would be approximately $1,055,284 if the interest rate changes to 4%.
In this case, the assets have an average duration of 8. When the interest rate changes from 5% to 4%, the change in interest rates is 1%. By applying the duration formula, the estimated percentage change in the market value of the assets would be approximately -8% (negative duration multiplied by the change in interest rates).
To calculate the estimated market value, we need to multiply the estimated percentage change (-8%) by the current market value ($1 million) and add it to the current market value. Thus, the estimated market value would be approximately $1,055,284 (1,000,000 + (1,000,000 * -8%)).
Duration is a measure of the sensitivity of an asset's price to changes in interest rates. It provides an estimate of the percentage change in the market value of an asset for a given change in interest rates. The duration formula states that the percentage change in the market value of an asset is approximately equal to the negative duration multiplied by the change in interest rates.
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Hi! help is greatly appreciated!
Find the value of x.
A. 6
B. 2
C. 4
D. 3
Answer:
answer is 3
because first we add 4+2=6
the sum of the line is 6 then we will got
x+3=6
x=6-3
x=3
Step-by-step explanation:
hope my answer is helpful to you
plz mark me as brainlist
what is the area principle? the area principle says that when images are used to compare amounts, the areas of the images should be proportional to the amounts. the images should be different for each amount. the area of the background should be clean and white, with no distractions. the images should be polygons, making it easier to assess the area.
The area principle is a fundamental concept in data visualization that states that the size of a graphical element (such as a bar, a pie slice, or a bubble) should be proportional to the quantity it represents.
In other words, the area of the graphical element should accurately reflect the magnitude of the data it is displaying. This principle is particularly important when comparing quantities, as it allows the viewer to quickly and accurately perceive the relative differences between them. For example, if two bars in a bar chart have the same width but different heights, the viewer may be misled into thinking that the two quantities are closer in magnitude than they actually are.
The area principle is often applied in conjunction with other principles of good data visualization, such as using clear and simple designs, avoiding clutter, and choosing appropriate scales and units. The goal is to create visualizations that are not only aesthetically pleasing but also informative and effective in communicating the underlying data.
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x - 2y = 2 3x + 3y = 24
Answer:
Step-by-step explanation:
what the question
have a nice day
if x is a positive integer, r is the remainder when x is divided by 4, and r is the remainder when x is divided by 9, what is the greatest possible value of r2 r ?
As per the remainder that the greatest possible value of 17
The term remainder in math defined as if a number is not completely divisible by another number then we are left with a value once the division is done
Here we have if x is a positive integer, then r is the remainder when x is divided by 4 and r is the remainder when x is divided by 9.
As we all know that the remainder is always smaller than the divisor.
Here we have also know that it will be 0 if the dividend is evenly divisible or a positive integer less than the divisor.
So, when we divided by 4 then the largest remainder will be 3 and then here we have to divided by 9, then the largest remainder will be written as
=> r² + R = 32 + 8
=> 9 + 8 = 17
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which method would you use to round 2.6 to the closest whole number?
Answer:
Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):
2.6
Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.
In short: 2.6 rounded to the nearest whole number is 3.
If $120.99 is charged for 654 units of electricity used,find the cost of one unit of electricity
Answer:
$5.41
Step-by-step explanation:
654 divided by 120.99=5.405... therefore the answer is $5.41
Consider the logarithmic function y=4log 3
(x+7)−2 Select the statements that are TRUE: Select 2 correct answer(s) There is a vertical stretch by 4 There is horizontal shift right 2. There is a vertical shift up 7 There is a vertical stretch by 3. There is a horizontal shift left 7.
The correct statements are "There is a vertical stretch by 4" and "There is a horizontal shift left 7."Hence, option A is correct.
Given logarithmic function is \(y=4\log3(x+7)-2\).
We need to select the correct statements from the given options. Let's discuss each statement one by one:
There is a vertical stretch by 4In general, the logarithmic function of the form y = logb(x) has the domain (0, ∞) and range (-∞, ∞). Here, we have \(y = 4\log3(x + 7) - 2\).
Inside the log function, we have x + 7. This means that there is a horizontal shift to the left by 7 units.
Also, the coefficient 4 outside the log function will cause the vertical stretch.
Therefore, the statement "There is a vertical stretch by 4" is true. There is horizontal shift right 2
Similarly, we can say that the logarithmic function y = logb(x) has the vertical asymptote x = 0 and the horizontal asymptote y = 0.
But in the given logarithmic function \(y=4\log3(x+7)-2\), we have the inside function as x + 7, which means that there is a horizontal shift left by 7 units
.Therefore, the statement "There is horizontal shift right 2" is false. There is a vertical shift up 7
The general form of the logarithmic function \(y = \log b(x)\) has a y-intercept of (1, 0).
In the given logarithmic function \(y=4\log3(x+7)-2\), we have y-intercept as (1, -2). This implies that there is a vertical shift down by 2 units.
Therefore, the statement "There is a vertical shift up 7" is false.
There is a vertical stretch by 3
Here, we have \(y = 4\log3(x + 7) - 2\).
Inside the log function, we have x + 7. This means that there is a horizontal shift to the left by 7 units. Also, the coefficient 4 outside the log function will cause the vertical stretch by a factor of 4.
Hence, the statement "There is a vertical stretch by 3" is false.
Therefore, the statement "There is a vertical stretch by 3" is false.
There is a horizontal shift left 7
As we have already discussed that inside the log function, we have x + 7. This means that there is a horizontal shift to the left by 7 units.
Therefore, the statement "There is a horizontal shift left 7" is true. Therefore, the correct statements are "There is a vertical stretch by 4" and "There is a horizontal shift left 7."Hence, option A is correct.
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There is a vertical stretch by 4 and a horizontal shift left 7 in the logarithmic function y = 4log3(x + 7)-2.
Consider the logarithmic function y = 4log3(x + 7)-2.
Explanation: In the logarithmic function, the equation is y = loga(x-h) + k where the logarithmic base is a, horizontal shift is h, and vertical shift is k. Logarithmic functions are the inverse of exponential functions so they have similarities in their transformations.
We can identify the true statements by comparing the given function with the standard form of the logarithmic function which is y = loga(x).
Given: y = 4log3(x + 7)-2
Comparing it to the standard form, there is a horizontal shift of 7 units to the left and a vertical shift of -2 units down. This makes the false statements:
There is a horizontal shift right 2.
There is a vertical shift up 7.
The vertical stretch or shrink is given by the coefficient of x. In this case, it is 4. So, there is a vertical stretch by 4. The coefficient of x can be either positive or negative so there is no horizontal stretch. Thus, the correct statements are:
There is a vertical stretch by 4.
There is a horizontal shift left 7.
Conclusion: There is a vertical stretch by 4 and a horizontal shift left 7 in the logarithmic function y = 4log3(x + 7)-2.
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A recipe used 1/4 cup of sugar for every 2 teaspoons of cocoa.
How many teaspoons of vanilla are used with 1 cup of sugar?
Answer:
8 teaspoons
Step-by-step explanation:
theirs 4 1/4 in a cup so times 2 bye the how many 1/4 cups there are and there's your answer.
Eva invests $9800 in a new savings account which earns 4.1 % annual interest, compounded monthly. What will be the value of her investment after 8 years? Round to the nearest cent. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcut
To calculate the value of Eva's investment after 8 years with an annual interest rate of 4.1%, compounded monthly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the final amount,
P is the principal (initial investment),
r is the annual interest rate (as a decimal),
n is the number of times the interest is compounded per year, and
t is the number of years.
In this case, Eva invests $9800, the annual interest rate is 4.1% (or 0.041 as a decimal), the interest is compounded monthly (n = 12), and the investment period is 8 years.
Plugging in these values into the formula, we have:
A = 9800(1 + 0.041/12)^(12*8).
Calculating this expression, we find that the value of her investment after 8 years is approximately $12,942.39.
Therefore, the value of Eva's investment after 8 years is $12,942.39 (rounded to the nearest cent).
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Stephanie is driving a new route from her house to her job, which is 12 1⁄4 miles away. On this route, she will pay a toll every 3 1⁄2 miles, and the cost of each toll is $1.35.
1. How many tolls will Stephanie pay?
2. What is the total cost of a one-way trip?
There are 3 tolls where Stephanie pays $ 4.05.
What is Distance?The distance between two points is the length of the path connecting them.
Here,
Distance covered by Stephanie = 12 1/4 miles
= 12.25 miles
Distance between two toll tax = 3 1/2 miles
= 3.5 miles
Number of Tolls = Total distance covered / Distance between two tolls
= 12.25 / 3.5
= 3.5
≈ 3 tolls.
Cost of 1 toll = $ 1.35
Total amount paid on toll = 3 X 1.35
= $ 4.05
Thus, there are 3 tolls where Stephanie pays $ 4.05.
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PLS I NEED HELP BY TMRW AT 12!
Which trend line is the best model of the data?
AlternativeText
A.
Line A is the best model of the data.
B.
Line B is the best model of the data.
C.
Line C is the best model of the data.
D.
All three lines equally model the data.
The line of best fit for the data that is present is Line C. Option C
What is the line of best fit?We have to note that the graph is one of the means by which we can be able to present information. We know that the information that we present in the graph model would have to axes. It would have the x axis and it would have the y axis.
Now, we know that the plot of the graph is going to result in data points on the graph and the data points on the graph are the points that we can be able to use determine which of the lines would be the line of best fit of the data that we have.
Looking up the models that we have we can see that the best line would have a line that fit into most of the points that occur in the graph and would be the best regression line.
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Using integration by parts, rewrite the following integral as fudv = uv-fvdu [in (2x) e 4x² dx
To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).
Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.
Let's assign:
u = (2x) => du = 2 dx
dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx
To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:
∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)
Now, we can rewrite the integral using integration by parts:
∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du
= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx
= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx
The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:
∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz
Therefore, the final expression becomes:
∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz
Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.
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Solve The Equation Below
Answer:
16
Step-by-step explanation:
10 + sqrt(y) = 14
Subtract 10 from each side
10 -10+ sqrt(y) = 14-10
sqrt(y) = 4
Square each side
(sqrt(y)) ^2 = 4^2
y = 16
Hello!
\(10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16\)
A is the answer.
Good studies!
A parabola has a vertex at (–5, 0) and passes through the point (–3, 1). Which of the following is the equation of this parabola in the form y=a(x-h)^2+k?
Answer:
y = 1/4(x + 5)^2
Step-by-step explanation:
Using the given equation form;
(h,k) represents the vertex of the parablola
To get the value of a, we use the given point
So we have;
1 = a(-3 + 5)^2 + 0
1 = a(2)^2
4a = 1
a = 1/4
so we have the equation as;
y = 1/4(x+5)^2 + 0
y = 1/4(x + 5)^2
Alice and samantha watered of the yard together.
samantha watered of that amount.
what part of the
yard did samantha water?
alice watered
of the yard.
They watered a total of 20 gallons of the yard, then Alice and Samantha each watered 10 gallons (20/2 = 10).
Alice and Samantha watered the yard together, which means that both of them contributed to the watering. If we assume that Alice and Samantha both contributed the same amount of water, then we can use the following formula to calculate how much of the yard each of them watered:
Alice's portion = (Total water / 2)
Samantha's portion = (Total water / 2)
For example, if they watered a total of 20 gallons of the yard, then Alice and Samantha each watered 10 gallons (20/2 = 10).
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Quiz Active
1
2
B
8
The figure shows five points. A point has been translated right and up.
D
9 10
Based on the graph, which statements about the points could be true? Check all that apply.
The point (5, 10) has not been translated in the given figure.Hence this statement is false.
The graph shows five points.
A point has been translated right and up.
Now, the statements that are true based on the graph are as follows:
The point (9, D) has been translated right and up.Answer: False
There is no information given about point (9, D).
So, we cannot say anything about the translation of point (9, D).
The point (1, 8) has been translated right and up.Answer: True
As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.
The point (2, 9) has been translated right and up.Answer: False
The point (2, 9) has not been translated in the given figure.
So, this statement is false.
Statement 4: The point (8, B) has been translated right and up.Answer: True
The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.
The point (5, 10) has been translated right and up.Answer: False
The point (5, 10) has not been translated in the given figure.
So, this statement is false.
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Show me how to do this one someone help
Answer:
4
Step-by-step explanation:
Answer:
The slope of the line is y = -3x+4.