Formula of parabola for given values is F(x) = 7.5(x^2-15.7x+61.32)
What is parabola?The general equation of a parabola in math is: y = a(x-h)^2 + k ,where (h,k) denotes the vertex. The standard equation of a the parabola is y^2 = 4ax.
According to given data:We have, horizontal intercepts x=8.4 and x=7.3, passes through point(0, 8.2)
As we parabola is quadratic function,
f(x) = a(x-8.4)(x-7.3)
It is passing through the point (0, 8.2)
8.2 = a(-8.4)(-7.3)
a = 8.2/61.32 =7.5 (approx)
Now, equation of parabola is
F(x) = 7.5(x-8.4)(x-7.3)
f(x) = 7.5(x^2-7.3x-8.4x+61.32)
F(x) = 7.5(x^2-15.7x+61.32)
Thus, required equation of parabola is F(x) = 7.5(x^2-15.7x+61.32).
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The endpoints of AB¯¯¯¯¯¯¯¯ are given. Find the coordinates of the midpoint M. Then find AB. Round your answers to the nearest tenth, if necessary.
A(−5, 1), B(4,−5)
The coordinates of the midpoint M for the line segment AB are (-1/2, -2).
Describe the meaning of mid point of line segment?The halfway of such a line segment is its center. It is equally from both endpoints and serves as the segment and endpoint centroid. It cuts the portion in half.As per the stated values;
Th end points of the line segment AB are given as;
A(−5, 1) = (x1, y1)
B(4,−5) = (x2, y2)
The formula for the evaluation of the coordinates of the mid point is-
Mid point - M(x, y)
x = (x1 + x2)/ 2
x = (-5 + 4) /2
x = -1/2
y = (y1 + y2)/2
y = (1 - 5)/2
y = -2
Thus, the coordinates of the midpoint M for the line segment AB are (-1/2, -2).
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At 8 a.m., Sothy goes for a walk and plans to walk `10000` steps. At 8:23 a.m., his phone tells him that he has taken `2000` steps.
If he continues at this rate, at what time will he reach `10000` steps?
To cover 10000 steps the time taken will be 115 minutes and he will cover at 9:55 AM.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at 8 a.m., Sothy goes for a walk and plans to walk `10000` steps. At 8:23 a.m., his phone tells him that he has taken `2000` steps.
The time will be calculated as,
2000 steps ⇒ 23 minutes
1 Step ⇒ 23 / 2000 minutes
10000 steps ⇒ ( 23 x 10000) / 2000 minutes
10000 steps ⇒ 115 minutes
The time of covering 10000 steps will be at 9:55.
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The perimeters of the
square and the rectangle
below are the same. Write
and solve an equation to find
the value of x.
3x
x-2
Area =
121 in 2
Answer:
Step-by-step explanation:
A formula is a method that has been proven to work when solving specific types of problems.
Let’s explore some of those familiar formulas by looking at rectangles, squares, area and perimeter.
The perimeter of a figure is the distance around the figure. Perimeter is the sum of all of the sides in a square or rectangle. Since a rectangle has two sets of parallel sides, the formula for determining perimeter of a rectangle is:
and
Let’s look at an example.
[Figure 2]
The rectangle above shows its dimensions. Find the perimeter.
First, substitute the values for the width and the length into the perimeter formula.
Next, complete the multiplication and addition to find the perimeter.
The answer is 42.
The perimeter of the rectangle is 42 inches.
Area is the amount of square units inside the figure. Area is found by multiplying the . The formula for finding the area of a rectangle is:
You can use the dimensions from the rectangle above to find the area of this rectangle.
First, fill the values for and into the formula for area.
Next, solve for the area by multiplying.
The answer is 108.
The area of the rectangle is .
Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself: . Area is always written in square units.
You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol . You can use the following formula for finding the perimeter of a square:
Let’s look at an example.
A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.
First, substitute the values for the perimeter and the length into the perimeter formula.
Next, complete the multiplication.
Then, subtract 24 from both sides to get your variable alone on the right side.
Then, multiply both sides by the reciprocal of 2 to isolate your variable.
The answer is 24.
The width of the rectangle is 24 feet.
Examples
Example 1
Earlier, you were given a problem about Raj and his garden fence.
He knows that the area of the land is 240 square feet, the length of one side is 15 feet, and needs to know the width of the land.
First, substitute the values for the area and the side length into the area formula.
Next, multiply both sides by the reciprocal of 15 in order to isolate the variable .
The answer is 16.
The width of Raj’s garden is 16 ft. Therefore the dimensions of the garden are 16 ft by 15 ft.
Example 2
A square has a perimeter of 196 inches. Determine the length of one side of the square.
First, substitute the value for the perimeter into the perimeter formula.
Next, multiply both sides by the reciprocal of 4 to isolate your variable.
The answer is 49.
Example 3
Find the perimeter of the following square if the side length is 4.5 inches.
First, substitute the value for the side length into the perimeter formula.
Next, multiply by 4 to solve for the perimeter.
The answer is 18.
Example 4
Can you find the area of the square in Example 1?
First, substitute the value for the side length into the area formula.
Next, multiply to solve for the area.
The answer is 20.25.
The area of the square is .
Example 5
A square has an area of 144 sq. meters. What is the side length?
First, substitute the value for the area into the area formula.
Next, take the square root of the area to isolate . Remember that the opposite of square is square root.
The answer is 12.
the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 1600 voters in the town and found that 34% of the residents favored construction. using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 31%. find the value of the test statistic. round your answer to two decimal places.
The value of the test statistic is 2.59.
What is Test Statistics?A number derived from a statistical test of a hypothesis is the test statistic. It displays how closely your actual data fit the distribution predicted by the statistical test's null hypothesis.
Here, the percentage of residents favored construction is 34%.
[tex]p\leq 0.31\\p > 0.31[/tex]
The test statistics is given by,
[tex]Z=P-\frac{p}{\sqrt{p(1-p)n} }[/tex]
Here n=1600, P=0.34 and p=0.31,
Putting the values,
[tex]Z=0.34-\frac{0.31}{\sqrt{0.31(1-0.31)1600} }\\=2.59[/tex]
Test Statistics = 2.59
Therefore, the value of test statistics is 2.59.
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Simplify each expression.
1) 7w + 2w - 6w
2) 9x - 3x + 2x 3) 8p + 3p - p
4) 6b-3b+5b
The simplified expressions for the questions will be, 1) 3w, 2) 8x, 3) 10p, 4) 8b.
The simplification of an algebraic expression generally means breaking the equation into a smaller form for easier calculation with the help of formulas or using the rule of BODMAS.
Here, all the questions can be solved by using the BODMAS rule.
1) 7w + 2w - 6w
= (7w + 2w) - 6w
= 9w - 6w
= 3w.
2) 9x - 3x + 2x
= (9x + 2x) -3x
= 11x - 3x
= 8x.
3) 8p + 3p - p
= (8p + 3p) - p
= 11p - p
= 10p.
4) 6b - 3b + 5b
= (6b +5b) - 3b
= 11b -3b
= 8b.
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Step-by-step explanation:
[tex]7w + 2w - 6w \\ 9w - 6w \\ = 3w[/tex]
[tex]9x - 3x + 2x \\ 6x + 2x \\ = 8x[/tex]
[tex]8p + 3p - p \\ 11p - p \\ = 10p[/tex]
[tex]6b - 3b + 5b \\ 3b + 5b \\ = 8b[/tex]
I need help
There are only 7 blue pens, 4 green pens and 6 red pens in a box
One pen is taken at random from the box
Write down the probability that the pen is blue
Answer: 41.18% or 7/17
Step-by-step explanation:
7 + 4 + 6 = 17
7/17 (fraction)
41.18%
In triangle ABC, what is the measure of angle C if A = 120°, a = 25, and b = 20? Round the answer to the nearest hundredth.
The angle C = 103.85° using the sine rule and rounded to the nearest hundredth.
What is the sine rule?In trigonometry, the sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
Considering the ∆ABC, the sine rule states that;
(a/sinA) = (b/sinB) = (c/sinC)
so
25/sin120° = 20/sinB
sinB = (20 × sin120°)/25 {cross multiplication}
sinB = 0.6928
B = sin^(-1)[0.6928)] {sine inverse}
B = 43. 85°
Sum of interior angles in ∆ABC is 180° so;
C = 180° - (120° + 43.85°)
C = 180° - 76.15°
C = 103.85°
With the application of the sine rule, we can conclude that the value of the angle C is 103.85° rounded to the nearest hundredth.
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13.ERROR ANALYSIS Describe and correct the error in
the student's reasoning.
Answer:
Step-by-step explanation:
PLEASE HELP I REAALLY NEED HELP!
The domain of the exponential function in this problem is given as follows:
0 ≤ n ≤ 5.
How to obtain the domain of the exponential function?The exponential function in this problem is defined by the rule presented as follows:
g(n) = 10(1.02)^n.
In which the variables are listed as follows:
n is the number of days.g(n) is the height of flower after n days.When the study was finished, the height of the flower was of 11.04 inches, hence the day at which the study was finished is obtained as follows:
10(1.02)^n = 11.04
(1.02)^n = 11.04/10
log[(1.02)^n] = log(11.04/10)
Applying the logarithm of power property, we have that:
nlog(1.02) = log(11.04/10)
n = log(11.04/10)/log(1.02)
n = 5.
The domain is the number of days for which the student was realized, hence:
0 ≤ n ≤ 5.
As the number of days cannot assume negative values.
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a fruit stand has to decide what to charge for their produce. they need \$10$10dollar sign, 10 for 444 apples and 444 oranges. they also need \$12$12dollar sign, 12 for 666 apples and 666 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?
No, we cannot find a unique price for an apple and an orange
Let the price of an apple be $x and that of orange be $y.
Condition 1.
They need $10 for 4 apples and 4 oranges.
Then, 4x + 4y = 10
or, 2x + 2y = 5 .....(1)
Condition 2.
They need $12 for 6 apples and 6 oranges.
Then, 6x + 6y = 12
or, 2x + 2y = 5 .....(2)
Two identical linear equations have been discovered.
They do, however, create a system of dependent linear equations that reduces to:
2x + 2y = 5
There are infinite possible solutions to this linear equation.
Thus, we get the conclusion that an apple and an orange cannot have different prices.
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c) √6 x √6 x√6 can someone help
Answer:
14.7
Step-by-step explanation:
Answer:
6[tex]\sqrt{6}[/tex]
or
≈14.7
Step-by-step explanation:
√6 x √6 x√6 can someone help
√6 x √6 x√6 =
6[tex]\sqrt{6}[/tex]
or
≈14.7
Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Please help me!
Also please try to make the answer as clear as you can. Thank You! <3
Answer: 3
I used PEMDAS in this explanation: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction. Also known as the order of operations
Step-by-step explanation:
-5 + (5+3) :
First, add 5+3 =8
-5+8
When adding a negative to a positive, first, switch the -5 and 8 around like so.
8 + (-5)
then turn the -5 into it's opposite and subtract ---> 5
8-5=3
Unworded explanation:
-5 + (5+3) :
-5 + 8
8 + (-5)
8-5 = 3
Find an equation for the perpendicular bisector of the line segment whose
endpoints are (6, -5) and (-2, -9)
The perpendicular bisector of the line segment with endpoints (6, -5) and (-2, -9) is 7x,2y = 6.
What is standard form equation?Ax+By=C is the standard form for linear equations in two variables. 2x+3y=5, for example, is a standard linear equation. It is relatively simple to find both intercepts when an equation is given in this form (x and y).In mathematics, a number is written in standard form. The simplest form of decimal numbers is standard form, which can be easily read and written. The standard form of the decimal number 0.007, for example, is 7 10-3. It can be difficult to read or write very large or very small numbers at times. As a result, we write them in standard form.The standard form of numbers (also known as "scientific notation") has different meanings depending on where you are in the world.Therefore,
The coordinates of the end points:
(6, -5) and (-2, -9)
((6, -5) +(-2, -9))/2
= ((6,-9)/2, (-2, -5)/2)
= (1.5, 3.5)
The difference in endpoint coordinates will be;
(Δx, Δy) = (9-(-5), (-2)-6) = (14, 8)
Then the ratio of these values, so we need to divide both by the common factor of 2:
(Δx, Δy) = (7, 2)
A line perpendicular to this segment through the point (h, k) can be written as;
Δx·x +Δy·y = Δx·h +Δy·k
7x ,2y = 7(2) 2(4)
7x, 2y = 6 .
Hence the standard form equation for the perpendicular bisector will be; 7x ,2y = 6 .
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Someone help
Given the function f(x) = 1 + 1/2x³, find the value of f(-4) in simplest form.
Answer: -62.5
PLEASE GIVE BRAINLIEST THANK YOU!!!
Step-by-step explanation:
the owner of a convenience store has determined that their daily revenue has mean $7200 and standard deviation $1200. the daily revenue totals for the next 30 days will be monitored. expressing the probability to four decimal places and for two points, what is the probability that the mean daily revenue for the next 30 days will exceed $7000?
The probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.
Define the term z score?The Z-score indicates the discrepancy between a given value and the standard deviation. The Z-score, also referred to as the median score, indicates how often standard deviations an actual data point deviates from the mean.The formula for the z score is-
z = (x - μ)/σ
In which,
z = standard scorex = observed value (= $7000)μ = mean ( = $7200)σ = standard deviation (=$1200)Put the value in formula
z = (7000 - 7200)/1200
z = - 0.16
Thus,
P(x > $7000) = P(z > - 0.16)
See the p- value for obtained z from negative z score table.
P(x > $7000) = 0.4760
Thus, the probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.
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A store received shipment of 37 tvs valuad at 625 each what is the total value. Of the shipment
A store received shipment of 37 tvs valued at 625 each what is the total value of the shipment?
37 * $625 = $23,125
Bryan paid $144.00 for an item at the store that was 20% off the original price. What was the original price?
Answer:
$180
Step-by-step explanation:
[tex]P\times{(1-0.20)}=144[/tex]
[tex]P\times{0.80}=144[/tex]
[tex]P=\frac{144}{0.80}[/tex]
[tex]P=180[/tex]
Rupert has a bag containing 2 green, 3 purple and 2 orange marbles. He selects two marbles from
his bag in succession, without replacement.
Using a tree diagram, determine the probability that Rupert picked the two green marbles.
The probability that Rupert picked 2 green balls is 1/21.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. It's value ranges from 0 to 1.
Main Body:
total balls = 7 , green balls =2
1st try:
probability of getting green ball = 2/7
As there is no replacement so now,
total balls = 6 , green balls = 1
2nd try:
probability of getting green ball = 1/6
total probability = (2/7)*(1/6)
= 1/21
Hence the answer is 1/21.
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whats the product of 23 and 39
Answer:
Step-by-step explanation:
1. Product means multiplying sign in math
23*39=897
2. Answer: 897
Shaylee is determining if 6 is the solution to the equation.
42 ÷ w = 7 for w = 6
First, Shaylee must substitute
for
.
To simplify, Shaylee must divide
by
.
First Shaylee must substitute 6 for w. To simplify, Shaylee must divide
42 by 6.
What is division?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.
Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
In this equation we have
42 ÷ w = 7
The question has already specified the value of w as 6
Hence we would have to remove w and replace it with the value six 6.
This is
42 ÷ 6
Next we have to find the value or the answer when we do this division. This can be easily done with a calculator
42 ÷ 6 = 7
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Dimensions of the area enclosed is l = 800 ,b = 800 and the maximum area = 6,40,000 square yards.
Given:
Liana has 3200 yards of fencing to enclose a rectangular area.
Let l and b be the length and breadth.
we know that:
perimeter of rectangle = 2(l+b)
2l + 2b = 3200
l+b = 1600
b = 1600 - l
Area of rectangle A = lb
= l*1600-l
= 1600 l - l^2
Apply derivative:
dA/dl = 1600 - 2l
1600 - 2l = 0
1600 = 2l
l = 1600/2
l = 800
l+b = 1600
b = 1600 - 800
= 800
Area = 800*800
= 6,40,000
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The expansion of (2 px)^6 in ascending powers of x, as far as the term in x², is
64 + Ax + 135x²
Given that p > 0, find the value of p and the value of A.
Answer: [tex]x=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{270},\:x=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{270}[/tex]
Step-by-step explanation:
64+Ax+135x^2
135x^2+Ax+64=0
[tex]x_{1,\:2}=\frac{-A\pm \sqrt{A^2-4\cdot \:135\cdot \:64}}{2\cdot \:135}[/tex]
[tex]x_{1,\:2}=\frac{-A\pm \left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135}[/tex]
[tex]x_1=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135},\:x_2=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135}[/tex]
[tex]x=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{270},\:x=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{270}[/tex]
Two libraries donated books to a local school. One library donated 786 books and the other
library donated 1,245 books. The school divided the books evenly among 11 classrooms.
Estimate how many books each classroom received.
Choose 1 answer:
B
200 books
Donat
50 books
The number of books each classroom received = 185
In this question, we have been given two libraries donated books to a local school. One library donated 786 books and the other library donated 1,245 books. The school divided the books evenly among 11 classrooms.
We need to find the number of books each classroom received.
Total number of books received:
786 + 1245 = 2031
The school divided the books evenly among 11 classrooms.
Let x be the number of books each classroom received.
By unitary method,
x = 2031 /11
x ≈ 185
Therefore, the number of books each classroom received = 185
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A and B are two similar solids. 1A А 10 cm The volume of A is 400 cm³. Work out the volume of B. 15 cm B
The volume of solid B is 1350 [tex]cm^{3}[/tex].
What is the volume ratio?
The side length ratio raised to the third power represents the volume ratio for the two solids.
If two solids are comparable, their volumes will have a ratio that is equal to the cube of their corresponding side ratios.
Given that both solids are similar.
The volume of solid A = 400 [tex]cm^{3}[/tex]
height of solid A = 10 cm
height of solid B = 15 cm
the volume of solid B = ?
Now,
volume of solid A/ volume of solid B = (height of solid A)^3/(height of solid B)^3
or, [tex]\frac{400}{x} = \frac{10^{3} }{15^{3} }[/tex]
or, [tex]x = \frac{400*15^{3} }{10^{3}}[/tex]
or, [tex]x = \frac{400*3375 }{1000}[/tex] = 1350
Hence, the volume of solid B is 1350 [tex]cm^{3}[/tex].
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Can anyone write equation of the graph?
The equation of given graph is y = |x - 3| + 5.
The graph of a absolute or modulus function is a V- shape graph. The function of absolute is f(x) = |x|. The general form of absolute function is f(x)=a |x - h| + k. Where (h,k) is the vertex of graph.
Here, we can see that graph is in the form of V shape, so the function will be absolute function. Now, we have to find the vertex of graph.
As seen from the graph the minimum point on the graph is located at the point (3, 5) and the value of a should be 1.
So, by putting the value of vertex in general equation we get the equation of the graph,
y = |x - 3| + 5
Therefore, the equation of given graph is y = |x - 3| + 5.
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Ahlee i riding her bike to the beach. If the beach i 17 mile from her home, and he ha already travelled 3/5 of the way, how much farther doe he have to cycle?
The distance yet to be covered by Ashlee is 6.8 miles.
Ashlee is riding her bike to the beach. The beach is 17 miles from her home. She has already travelled 3/5 of the total distance. We need to find out how much farther she has to cycle.
Let the distance left to be covered by Ashlee be represented by the variable "D". The distance already covered by Ashlee on her cycle is calculated below.
d = (3/5)×17
d = 10.2
So she has already covered a distance of 10.2 miles. The distance yet to be covered is the difference between the total distance and the distance covered.
D = 17 - 10.2
D = 6.8
Hence, the distance yet to be covered by Ashlee is 6.8 miles.
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Solve for X please!!!!!!!!!!!!! I need this answer ASAP
2x + 1/3x = 21
We know:
we can add/subtract the same expression to both sides of the equation to get an equivalent equation;we can multiply/divide both sides of the equation by the same non-zero number to get the equivalent equation.Equivalent equations are algebraic equations that have identical solutions.
We have the equation:
[tex]2x+\dfrac{1}{3}x=21[/tex]
SOLUTION:multiply bot sides by 3
[tex]3\cdot2x+3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}x=3\cdot21\\\\6x+x=63\\\\7x=63[/tex]
divide both sides by 7
[tex]\dfrac{7\!\!\!\!\diagup x }{7\!\!\!\!\diagup}=\dfrac{63}{7}\\\\\boxed{x=9}[/tex]
Answer:
x = 9
Step-by-step explanation:
Given equation,
→ 2x + (1/3)x = 21
Now the value of x will be,
→ 2x + (1/3)x = 21
→ (6/3)x + (1/3)x = 21
→ (7/3)x = 21
→ 7x = 21 × 3
→ 7x = 63
→ x = 63/7
→ [ x = 9 ]
Hence, the value of x is 9.
Help me please!!!!!
The matrix
[tex]MN = \left[\begin{array}{ccc}-2&1&0\\17&2&-3\\11&12&-5\end{array}\right][/tex]
The given matrix is
[tex]M = \left[\begin{array}{ccc}1&0\\-4&3\\2&5\end{array}\right][/tex]
[tex]N = \left[\begin{array}{ccc}-2&1&0\\3&2&-1\\\end{array}\right][/tex]
The Order of M = (3×2)
The Order of N = (2×3)
Since the number of columns of M is equal to the number of rows, the multiplication of M and N is possible,
The order of the matrix formed is MN = ( 3 × 3 )
So,
[tex]MN = \left[\begin{array}{ccc}-2+0&1+0&0+0\\8+9&-4+6&0-3\\-4+15&2+10&0-5\end{array}\right] \\\\MN = \left[\begin{array}{ccc}-2&1&0\\17&2&-3\\11&12&-5\end{array}\right][/tex]
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Find the Error When graphing the equation y=−3x+2, a student plotted the y-intercept at 2, then moved down 3 units and to the left 2 units because the slope is negative, so both rise and run are negative. Find his error and correct it.
Which selections describe an error that the student made and give the correct response? Select all that apply.
Multiple select question.
A)
The student used the y-intercept, 2, for the denominator of the slope. The slope should be −3 or −31 .
B)
The student said that, because the slope is negative, both rise and run are negative. When the slope is negative, either the numerator is negative or the denominator is negative, not both.
C)
The student plotted the y-intercept at 2, instead of at −3. The y-intercept should be −3, because when x=0, you get y=−3.
D)
After plotting the y-intercept at 2, the student moved down 3 units and to the left 2 units. The student should have moved down 3 units and the to the left 1 unit, because the slope is −3−1, not −3−2.
E)
After plotting the y-intercept at 2, the student moved down 3 units and to the left 2 units. The student should have moved down 3 units and the to the right 2 units, because the slope is −32, not −3−2.
F)
After plotting the y-intercept at 2, the student moved down 3 units and to the left 2 units. The student should have moved down 3 units and the to the right 1 unit, because the slope is −31, not −3−2.
*also need this one*
Answer:
A, B, F
Step-by-step explanation:
You want to know the errors made in graphing y = -3x +2 by plotting the y-intercept of 2 and then plotting another point 3 down and 2 left of that.
PlotThe appropriate graph would be created by plotting the y-intercept at 2, then moving down 3 units and 1 unit right from there, because the slope is -3.
ErrorsThe y-intercept is correctly plotted at y=2.
The next point is incorrectly plotted down 3 units and 2 units left of the y-intercept. It should be plotted down 3 units and 1 unit right.
The slope is -3, or -3/1. For a negative slope, the rise or run, but not both, will be negative. We don't know the student's rationale for using 2 as the "run" in ...
slope = rise/run
The best error descriptors seem to be ...
A) The student used the y-intercept, 2, for the denominator of the slope. The slope should be −3 or −3/1 .
B) The student said that, because the slope is negative, both rise and run are negative. When the slope is negative, either the numerator is negative or the denominator is negative, not both.
F) After plotting the y-intercept at 2, the student moved down 3 units and to the left 2 units. The student should have moved down 3 units and the to the right 1 unit, because the slope is −3/1, not −3/−2.
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the probability of serena serving an ace n tennis is 0.15, and the probability that she double faults is 0.25. what is the probability that serena does not serve an ace or a double fault?
The probability that Serena does not serve an ace or a double fault is 0.63..
Addition rule of probability applies to the calculation of probability for one or another event happen. These events are either mutually exclusive or not .
We have following information,
The probability of Serena serving an ace in tennis (p) = 0.15
Probability that she double faults(q) = 0.25
The probability of Serena not serving an ace in tennis = 1 -p = 1 - 0.15 = 0.85
let A and B be two events Serena not serving an ace and she double faults respectively.
Events A and B are not mutually exclusive events .
i.e, P(A ∩ B ) =/ 0
when Serna not serving an ace implies that either it is double faults or not and both have equally likely chance.
So, the probability of intersection of event A and B = 0.85/2 = 0.47
Adding Rule for probabilities is
P(A or B ) = P(A) + P(B) - P(A ∩ B)
The probability that Serena does not serve an ace or a double fault = 0.85 + 0.25 - 0.47
= 1.10 - 0.47 = 0.63...
Hence, the probability that Serena does not serve an ace or double fault is 0.63..
To learn more about Probability, refer:
https://brainly.com/question/13604758
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