Answer
[tex]\pink\sf{y=-1}[/tex]
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation [tex]\sf{y=0.5(6)-4}[/tex].
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
[tex]\sf{y=3-4}[/tex]
And now we just simplify the last part:
[tex]\sf{y=-1}[/tex]
∴ answer: y = -1
Help me figure this out
Answer:
35
Step-by-step explanation:
perimeter = sum of the lengths of the sides
In a parallelogram, opposite sides are congruent.
Two sides have length 7.5 cm.
We need the length of the top and bottom sides.
area = base × height
62 cm² = base × 6.2 cm
base = (62 cm²)/(6.2 cm)
base = 10 cm
Two sides have length 10 cm.
perimeter = 7.5 cm + 7.5 cm + 10 cm + 10 cm
perimeter = 35 cm
The following points represent a relation where x represents the independent variable and y represents the dependent variable.
three fourths comma negative 2, 1 comma 5, negative 2 comma negative 7, three comma negative one half, and 6 comma 6
Does the relation represent a function? Explain.
No, because for each input there is not exactly one output
No, because for each output there is not exactly one input
Yes, because for each input there is exactly one output
Does the relation represent a function: C. Yes, because for each input there is exactly one output.
What is a function?In Mathematics and Geometry, a function can be defined as any mathematical equation which is typically used to define and represent a relationship that exists between two or more variables such as an ordered pair, points on a graph or table.
Based on the mapping diagram, we can reasonably infer and logically deduce that the relation represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the relation represent a function because for each input (independent value) there is exactly one output (dependent variable).
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answer the following steps to find the volume of the composite figure. what is the volume the 3 mm tall cone? what is the volume of the cylinder? what is the volume of the 1 mm tall cone? what is the volume of the composite figure?
We are unable to determine the volumes of the individual components and the composite figure due to missing data on the radii and precise component configurations.
We must determine the volumes of the three separate parts—a cylinder, a 1 mm tall cone—in order to get the volume of the composite figure.
The 3 mm tall cone's volume is:
The formula [tex]V = (1/3)r^{2} h,[/tex] where r is the radius of the base and h is the height, determines the volume of a cone.
We must determine the radius because the cone's height is 3 mm. We are unable to determine the volume of the 3 mm tall cone without additional information.
Dimensions of the cylinder:
The formula V = r2h, where r is the radius of the base and h is the height, determines the volume of a cylinder.
We are unable to determine the volume of the cylinder without precise measurements for its height and radius.
Volume of the 1 mm tall cone: Once more, in order to calculate the volume of the 1 mm tall cone, we need to know the radius of the base. Without this additional information, we are unable to do so.
The composite figure's volume:
We would need to know the sizes and configurations of the different parts (cones and cylinder) within the composite figure in order to determine its volume.
We are unable to determine the volume of the composite figure without this information.
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In ΔNOP, n = 56 inches, p = 61 inches and ∠P=80°. Find all possible values of ∠N, to the nearest degree.
The value of ∠N is 54.38 degrees.
Given that in ΔNOP, n = 56 inches, p = 61 inches and ∠P=80°.
We need to find the value of ∠N,
According to the cosine rule, the following equation is true for every triangle with sides a, b, and c and the corresponding opposite angles A, B, and C:
c² = 2ab cos(C) - a² + b²
In this instance, we have:
A = P and B = P
C = ∠P
When we enter the values, we obtain:
n² = p² + p² - 2p² cos(∠P)
Substituting the known values:
56² = 61² + 61² - 2(61²) cos(80°)
Simplifying:
3136 = 3721 + 3721 - 2(3721) cos(80°)
3136 = 3721 + 3721 - 7442 cos(80°)
Now we can solve for cos(80°):
3136 = 7442 - 7442 cos(80°)
7442 cos(80°) = 7442 - 3136
cos(80°) = (7442 - 3136) / 7442
cos(80°) ≈ 0.5798
∠N = arccos(0.5798)
∠N = 54.38 degrees.
Hence the value of ∠N is 54.38 degrees.
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What is the slope of the line shown? On a coordinate plane, a line passes through points (negative 6, 7), (negative 2, 6), (2, 5), and (6, 4). The slope is .
Answer:
To find the slope of a line passing through four points, we can use the formula:
slope = (change in y) / (change in x)
We can use any two points to calculate the slope, but since we need to find the slope for the entire line passing through all four points, we need to make sure that the slope is the same for any two points that we choose.
Let's use the points (-6,7) and (-2,6) to calculate the slope:
slope = (6 - 7) / (-2 - (-6)) = -1/4
Now let's use the points (2,5) and (6,4) to calculate the slope:
slope = (4 - 5) / (6 - 2) = -1/4
Since the slope is the same for both pairs of points, we can conclude that the slope of the line passing through all four points is -1/4.
Step-by-step explanation:
Find the third iterate x3 of f(x) = 2x + 3
for an initial value of x0 = 2
a. 7
b. 15
c. 17
d. 37
For the function f(x) = 2x + 3 the third iterate x₃ is 37
To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,
we can apply the function repeatedly.
Starting with x₀ = 2:
x₁ = f(x₀)
= 2(2) + 3
= 7
x₂ = f(x₁)
= 2(7) + 3 = 17
x₃ = f(x₂)
= 2(17) + 3
= 37
Therefore, the third iterate x₃ is 37.
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I NEED IMMEDIATE HELP
Using the graph, determine the equation of the axis of symmetry
Answer: x=-7
Step-by-step explanation:
This question is really easy, so I'll just briefly explain axis of symmetry
To find it, it is ((x intercept 1)+(x intercept 2))/2. This is also called the vertex.
Or, the x value of the lowest or highest point. Lowest is it opens up, highest if it opens down.
x=-7 is the answer
EHO
Using the following model, answer questions 1 - 2:
You bought a new car for $17,7 in 2005. Its value
has been decreasing by about 13% each year
Cuz Rocha
APPLICATIONS on Modeling Exponential Functions
Answer the following applications. Round your answers to 2 decimal places. Find the solution in the
Answer Bank. When you find a match, place the question number next to the color. Color the picture
accordingly to reveal the mystery picture!
1. Write an exponential model for the value of the car after "x" years
2. What will the car be worth in 2015?
Name:
Using the following model, answer questions 3 - 4:
The population of a small town has been increasing at
1.5% due to an economic boom in the area. The
population was 7,650 in 1995.
Using the following model, answer questions 5 - 6:
Peter earned $2,300 last summer. He deposited the
money in his savings account that earns 2.4% interesi
compounded annually.
Using the following model, answer questions 7 - 8:
You have inherited land that was purchased for
$10000 in 1950. The value of the land incrocisty
approximately 4% per year.
Using the following model, answer questions 9 - 10:
The student enrollment of a high school was 1250 in
2000 and decreased by 1% per year until 2015.
Using the following model, answer questions 11- 12:
You bought a commemorative coin for $150. Each year,
x, the value of the coin increased by 2.5%.
Applications on Modeling Exponential Functions
1. log₂ 128=7
ections: Write
4th
Date:
Rocha
Period:
3. Write an exponential model for the population in this town in a particular year
"X"
4. What is the population in 2017
5. Write an exponential model to describes the amount of money in the bank
after x number of years
6. How much money will Peter have in 8 years?
7. Write an exponential model for the value of the land x years after 1950
7.
What is the approbate value of the land in the year 2010
9. Write an exponential model to show school's student enrollment in terms of
x, the number of years since 2000.
10.
What is the number of students in 2015?
11. Write an exponential model to give the value of the coin after x number of
years.
12. What is the value of the coin at 50 years?
Never Give Up On Math 2017
:I
173
3.
nece
Answer:
If f(x) = +4, which of the following is the inverse of f(x)?
O A. ƒ˜¹(x) = 2(2+4)
B. ƒ˜¹(x) = 7(2-4)
C. ƒ˜¹(x) = 7(2+4)
D. f¯¹(x) = ²(2-4)
Step-by-step explanation:
100 Points! Algebra question. Photo attached. Find the amplitude, if it exists, and period of the function. Then graph the function. Thank you!
hello
the answer to the question is:
y = a cot(bx – c) + d
a = 1, b = 1/2, c = 0
the midline is y = d, so y = 0
the vertical stretch is 1, so label the y-axis so the inflection point of the curve is 1 above the midline, and the other inflection point is 1 below the midline
the period is:
T = π/b ----> T = 2π
the phase shift is:
PS = c/b ----> PS = 0
and also, there's no amplitude for tangent and cotangent, there is only the vertical stretch that takes the place of an amplitude
Answer:
amplitude does not exist. period = 2π (360°)
Step-by-step explanation:
there is no amplitude for tan θ or cot θ, since there is no limit up or down (positive/negative infinity).
period for cot θ is π (180°)
period for cot 1/2 θ is 2π (360°)
if i have two assignment that's 5% of my grade and i have a 79 in the class what will my grade be if i get a 100 on both???
If you get a perfect score of 100% on both assignments, your overall grade in the class would be 100%.
To calculate your grade, we need to consider the weight of each assignment.
Since each assignment is worth 5% of your grade, we can calculate the contribution of the assignments to your overall grade.
The total weight of the two assignments is 2×5% = 10%.
To find the impact of the assignments on your grade, we multiply your average score on the assignments (100%) by their weight (10%):
Contribution from the assignments = 100% * 10% = 10%
Since you currently have a grade of 79, the remaining 90% of your grade is based on other assessments, tests, or assignments.
To calculate your overall grade, we add the contribution from the assignments to the remaining 90%:
Overall grade = 90% + 10% = 100%
Therefore, if you get a perfect score of 100% on both assignments, your overall grade in the class would be 100%.
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What is the equation of the circle with center at (9,5) that passes through (13,7)? Write your answer in standard form.
The equation of circle with a center at (9, 5) that passes through (13, 7) is (x - 9)² + (y - 5)² = 20.
we have Center at (9, 5) and passes thorough (13, 7).
To find the equation of a circle with center (h, k) and a point (x, y) on the circle, we can use the standard form equation of a circle:
(x-h)² + (y-k)² = r²
So, (x - 9)² + (y - 5)² = r
Since the circle passes through (13, 7), then
(13 - 9)² + (7 - 5)² = r²
²4 + (2)² = r²
16 + 4 = r²
20 = r²
So, the equation of circle is
(x - 9)² + (y - 5)² = 20
Therefore, the equation of circle with a center at (9, 5) that passes through (13, 7) is (x - 9)² + (y - 5)² = 20.
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9. A plant seed may get carried very far on a windy day, and sprout in another field full of the same type of
plant. What mechanism of evolution is this an example of? Explain.
As a result of the seed growing in a field with a different population of plants, we can witness how gene flow works in action.
It will have introduced its alleles into that population once this plant reproduces there. Any movement of people from one group to another—also known as migration—and/or the genetic material they carry is referred to as gene flow. Pollen being carried to a new location by the wind or individuals relocating to new cities or nations are just a few examples of the many different types of events that contribute to gene flow.
Vertical and horizontal gene flow are two different types of gene transfer. Gene flow describes the transfer of genetic material between groups.
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s. The area of a regular hexagon is 384√3Cm². Find A. the side length of the hexagon B. the radius of the hexagon C. the apothem of the hexagon
The apothem of the hexagon is 8√3 cm.
We are given that;
The area of a regular hexagon= 384√3Cm²
Now,
To find the side length, radius, and apothem of a regular hexagon given its area, we can use the following formulas:
Area = (3√3 s^2) / 2 Area = (1/2) a P Area = (3/2) r a
where s is the side length, a is the apothem, P is the perimeter, and r is the radius of the hexagon. We can solve for any of these variables by rearranging the formulas and plugging in the given area.
A. To find the side length, we can use the first formula and solve for s:
s^2 = (2 Area) / (3√3) s = sqrt((2 Area) / (3√3))
Plugging in Area = 384√3, we get:
s = sqrt((2 * 384√3) / (3√3)) s = sqrt(256) s = 16
Therefore, the side length of the hexagon is 16 cm.
B. To find the radius, we can use any of the formulas and solve for r. For example, using the third formula, we get:
r = (2 Area) / (3 a)
To find a, we can use the second formula and solve for a:
a = (2 Area) / P
To find P, we can use the fact that P = 6s and plug in s = 16:
P = 6 * 16 P = 96
Plugging in P and Area into the formula for a, we get:
a = (2 * 384√3) / 96 a = 8√3
Plugging in a and Area into the formula for r, we get:
r = (2 * 384√3) / (3 * 8√3) r = 32
Therefore, the radius of the hexagon is 32 cm.
C. To find the apothem, we can use any of the formulas and solve for a. For example, using the second formula, we get;
a = (2 Area) / P
Plugging in Area = 384√3 and P = 96, we get:
a = (2 * 384√3) / 96 a = 8√3
Therefore, by polygon the answer will be 8√3 cm.
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what type of data would best be displayed in a box plot
Answer:(2x+7)+(2x+7)
Step-by-step explanation:
what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer
Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Solve for x.
-3
X=
X
= -48
Answer:x = {-4, 4}
explanation:
Given the net, what is the surface area of the rectangular prism below?
PLS HELP WILL MARK BRAINLIST
Answer:
40
Step-by-step explanation:
For finding the surface area of this rectancular prism, or any, we find the area of each shape. Then, we add up all of the areas together to get the surface area. There are 2 squares with 2 as a side length for each side. To find the area of a square, we can multiply any 2 sides. That is because the sides of the square is equal to eachother, so 2•2=4. Being 2 squares, they are both have area of 4. Looking at the 4 rectangles, they have a length of 4 and a width of 2. We multiply the height and width of a rectangle to get the area. 4•2=8, the area of each rectangle is 8. Now, we add up all of our areas. Two squares, each are 4 for their area. Add them up, you get 8 for the 2 squares. Then, we have 4 rectangles each are 8 for their area. 4•8=32 since they all have the same area. 32+8=40! 40 is the surface area of this net. I hope this helps, and have good day
I NEED THE ANSWER ASAP
I WILL MAKE THE FIRST PERSON TO ANSWER MY QUESTION BRAINLY!
ALSO YOU WILL GET 100 POINTS
Sorry for bad handwriting
if i was helpful Brainliests my answer ^_^
Answer:
3) 50 in²
4) 85 cm²
Step-by-step explanation:
Question 3The given figure is composed of 2 triangles, each with a base of 10 inches and a height of 5 inches.
The area of a triangle is half the product of its base and height.
Therefore, the area of the composite figure can be calculated as follows:
[tex]\begin{aligned}\textsf{Area of compositie figure}&=\sf Area_{Triangle\;1}+Area_{Triangle\;2}\\\\&=\dfrac{1}{2} \cdot 10 \cdot 5 + \dfrac{1}{2} \cdot 10 \cdot 5\\\\&=5\cdot 5+5\cdot 5\\\\&=25+25\\\\&=50\; \sf square\;inches\end{aligned}[/tex]
Therefore, the area of the composite figure is 50 square inches.
[tex]\hrulefill[/tex]
Question 4The given figure is composed of a rectangle with width of 6 cm and length of 10 cm, and a triangle with base of 10 cm and height of 5 cm.
The area of a rectangle is the product of its width and length.
The area of a triangle is half the product of its base and height.
Therefore, the area of the composite figure can be calculated as follows:
[tex]\begin{aligned}\textsf{Area of compositie figure}&=\sf Area_{Rectangle} + Area_{Triangle}\\\\&=6 \cdot 10+\dfrac{1}{2} \cdot 10 \cdot 5\\\\&=60+5 \cdot 5\\\\&=60+25\\\\&=85\; \sf square\;centimeters\end{aligned}[/tex]
Therefore, the area of the composite figure is 85 square centimeters.
This answer is incorrect. Can someone help with the answer?? Determine the probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more. Then complete the statements.
The significance level is set at 5%, and the probability of the result is
5%, which is less than the significance level. The result is statistically significant.
.
If the significance level is set at 5%, the probability of the treatment group's mean being greater than the control group's mean by 8 points or more is given as 5%, which is less than the significance level of 5%.
The correct answer is "less than."
What is the probability?The probability of the treatment group's mean being greater than the control group's mean by 8 points depends on the sample sizes, standard deviations, and means of both groups.
These values are used to calculate the t-score or z-score and the corresponding probability or p-value.
The probability can than be compared to the significance level to determine if the result is statistically significant.
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Complete the division problem by filling in the missing number.
113 ÷ 4 = 2 18
The solution is
The missing number in the original division problem is 28.
The solution is 113 ÷ 4 = 28.
The given division problem is: 113 ÷ 4 = 2 18.
To find the missing number, we can perform the division calculation step by step.
First, we divide 4 into the first digit of 113, which is 1.
Since 4 cannot be divided evenly into 1, we bring down the next digit, which is 1.
Now we have 11.
Next, we divide 4 into 11.
We can divide 4 into 11 two times, which gives us 8.
We subtract 8 from 11, leaving us with a remainder of 3.
Now, we bring down the next digit, which is 3.
We have 33.
Finally, we divide 4 into 33. 4 can be divided into 33 eight times, which gives us 32.
We subtract 32 from 33, leaving us with a remainder of 1.
So, the complete division is 113 ÷ 4 = 28 remainder 1.
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The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7.4% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (a) Explain why this is a binomial experiment.
(b) Assuming his suspicion that 7.4% of his customers buy a magazine is correct, what is the probability that exactly 3 out of the first 14 customers buy a magazine? Give your answer as a decimal number rounded to two digits.
(c) What is the expected number of customers from this sample that will buy a magazine?
The experiment is binomial , probability that 3 out of 14 customers buy a magazine is 0.06 and the expected value is 1.036.
Part AThe experiment described is binomial because it satisfies the following conditions:
There are a fixed number of trials, which is 14 in this case.Each trial has two possible outcomes: The outcome of each trial is whether or not a customer buys a magazine. The probability of success is constant. 7.4%The trials are independent: Each customer's behavior is independent of others.Part BThe probability that exactly 3 out of the first 14 customers buy a magazine. Using the binomial probability formula:
[tex]P(X = k) = (nCk) \times (p^k) \times {q}^{n - k} [/tex]
Where:
n = number of trials (14 in this case)
k = number of successful trials (3 in this case)
p = probability of success (7.4% or 0.074)
q = 1-p
Plugging in the values:
P(X = 3) = (14C3) × (0.074³) × 0.926¹¹
P(X= 3) = 0.0633
Part CThe expected number of customers from this sample that will buy a magazine can be calculated using the formula:
E(X) = n × p
Where:
- n is the number of trials
- p is the probability of success
Plugging in the values:
E(X) = 14 × 0.074 = 1.036
Therefore, the experiment is binomial and the expected value is 1.036.
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Which relation is not a function?
The relation C is the relation that does not represent a function.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
In the context of this problem, we look at option C, where there are two arrows departing from the input of 1, meaning that:
The input of 1 is mapped to an output of 4.The input of 1 is also mapped to an output of 6.As the input of 1 is mapped to multiple outputs, the relation does not represent a function.
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7. A scuba diver's depth in yards as a function of time in minutes (x) is
represented by the equation d(x) = 12x² - 144x.
a. What was the deepest the diver went?
b. How long did it take the diver to return to the surface?
c. How deep was the diver after one minute?
a) The deepest that the diver went is of: 432 yards deep.
b) It took 12 minutes for the diver to return to the surface.
c) After one minute, the diver was 132 yards deep.
How to obtain the features?The quadratic function modeling the diver's height after x seconds is given as follows:
d(x) = 12x² - 144x.
The coefficients are given as follows:
a = 12, b = -144, c = 0.
The x-coordinate of the vertex is given as follows:
x = -b/2a
x = 144/24
x = 6.
Item a:
As a > 0, in item a, the minimum height is given as follows:
d(6) = 12(6)² - 144(6)
d(6) = -432 feet.
Item b:
The roots of the function, in item b, are obtained as follows:
12x² - 144x = 0
12x(x - 12) = 0
Hence:
12x = 0 -> x = 0.x - 12 = 0 -> x = 12.12 - 0 = 12, hence it took 12 minutes for the diver to return to the surface.
Item c:
After one minute, the depth of the diver, in item c, is given as follows:
d(1) = 12(1)² - 144
d(1) = -132 yards.
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Solve the system using substitution. Show all work.
-12x + 5y = 9
y = 2x - 5
Solution of the given system is,
x = 8
y = 11
The given system of equation
-12x + 5y = 9 ....(i)
y = 2x - 5 ...(ii)
Now we have to solve it by using substitution method.
So put value of y from equation (ii) into equation (i)
Therefore,
⇒ -12x + 5y = 9
⇒ -12x + 5(2x - 5) = 9
⇒ -12x + 10x - 25 = 9
⇒ -2x = 16
⇒ x = 8
Now put the values of x into (ii) we get,
⇒ y = 2x8 - 5
⇒ y = 11
Hence,
solutions be ,
x = 8
y = 11
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Finding missing sides with trig rations
-Solve for x. Round to the nearest tenth.
Sorry for bad handwriting
if i was helpful Brainliests my answer ^_^
hello
the answer is:
1)
Sin 28° = x/19 ----> x = 8.91 or 9
2)
tan 41° = x/32 ----> x = 27.8 or 28
3)
Cos 21° = x/26 ----> x = 24.2 or 24
4)
Cos 55° = 8/x ----> x = 13.9 or 14
5)
Sin 33° = 15/x ----> 27.57 or 28
6)
Cos 43° = 36/x ----> x = 49.2 or 49
7)
tan 72° = 25/x ----> x = 8.12 or 8
8)
Cos 64° = x/11 ----> x = 4.81 or 5
Solve x2 + 6x − 8 = 0 by completing the square. (1 point)
(x + 3)2 = 17; x equals negative 3 plus or minus the square root of 17
(x + 3)2 = 17; x = 14, x = 20
(x + 6)2 = 8; x equals negative 6 plus or minus 2 times the square root of 2
(x + 6)2 = 8; x = −14, x = 2
The correct option is: (x + 3)² = 17; x equals negative 3 plus or minus the square root of 17(x = -3 ± √17) by completing the square
How to evaluate for the equation by completing the squareThe completing the square method require we move constant term to the right hand side of the equation, divide the middle term and add its square to both sides of the equation as follows:
For the equation;
x² + 6x - 8 = 0
add 8 to both sides
x² + 6x = 8
divide 6 by 2 and add the square of the result to both sides
x² + 6x + 3² = 8 + 3²
by factorization;
(x + 3)² = 8 + 9
(x + 3)² = 17
x + 3 = ± √17 {take square root of both sides}
x = -3 ± √17
Therefore, by completing the square we the equation to be (x + 3)² = 17 and the solution for the value of x = -3 ± √17
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can my a value be negative in a exponential function
Yes, the coefficient of a value can be negative in an exponential function.
How is this possible?A coefficient in mathematics is a multiplicative factor in some term of a polynomial, series, or expression; it is generally a number, although it can be any expression.
Recall that the general form of an exponential function is f(x) = a^(bx + c), where a is the base.
This can be negative or positive. But cannot be equal to zero. A negative exponential function can model the decay of a radioactive substance or, in accounting, depreciation of an asset.
Thus, it is correct to state that , the coefficient a value can be negative in an exponential function.
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find the difference between points (3,5) and (-1,5)
b'
Let the given points be A(3,-5) and B(5,-1).
AB= sqrt of (5−3) ² +(−1+5)²
= sqrt of 4+16
= sqrt of 20
=2 sqrt of 5 units
Algebra 2 Unit 4 Standards Tasks Shannon Barker S.CP.B.6: Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model. In the East Orange School District, students are only allowed to enroll in AP Calculus if they have already taken pre-calculus or general calculus. Out of 825 incoming seniors: * 465 took pre-calculus *166 took general calculus *133 took both. Part A (3 points): Given this information, determine the probability a randomly selected incoming Senior is allowed to enroll in AP Calculus. AN In another district an additional prerequisite course is math analysis. In that district there are 550 incoming seniors. . 345 took pre-calculus, 125 took general calculus, 40 took math analysis • 35 took pre-calculus and general calculus • 20 took math analysis and general calculus . 0 took both pre-calculus and math analysis Part B (2 points): In this school district, How many seniors were not able to take AP calculus? Submit
The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
We know that,
Conditional Probability is:
This is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
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A probability distribution for various prize values is given by the following table.
Prizes Probabilities
$0.00 0.83
$100.00 0.08
$500.00 0.08
$10,000.00 0.01
Find the expected winnings. Round your answer to the nearest cent.
Answer:
$148
Step-by-step explanation:
Expected winnings = ($0.00 x 0.83) + ($100.00 x 0.08) + ($500.00 x 0.08) + ($10,000.00 x 0.01)
Expected winnings = $0.00 + $8.00 + $40.00 + $100.00
Expected winnings = $148.00