Answer:
Step-by-step explanation:
y = mx + b
m = -2/3
The point is used to find b in the general equation.
x = - 3
y = 8
8 = -2/3 * - 3 + b
8 = 2 + b Subtract 2 from both sides.
8 - 2 = b
b = 6
None of the answers are what they should be.
The answer is y = -2/3 x + 6
You have to mean the dot = x for a to be right. So I'll pick A or the first choice.
what is the probability that either event will occur?
The probability that either event will occur is P ( C ) = 0.89
Given data ,
Let the probability that either event will occur be P ( C )
P ( A ) = 20/36
P ( B ) = 12/36
where P ( A or B ) = P ( C )
P ( C ) = P ( A ) + P ( B )
P ( C ) = 32/36
P ( C ) = 0.88888
Hence , the probability is P ( C ) = 0.89
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Inso ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, how many gallons of ice cream can 4
machines make?
The gallons of ice cream 4 machines can make is 650 gallons.
How to find the number of gallons of ice cream 4 machine can make?Two ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, the number of gallons of ice creams 4 machine can make can be calculated as follows:
Therefore,
If 2 ice cream machine = 320 gallons
4 ice cream machine = ?
cross multiply
Hence,
gallons of ice cream made by 4 machines = 320 × 4 / 2
gallons of ice cream made by 4 machines = 1280 / 2\
Therefore,
gallons of ice cream made by 4 machines = 640 gallons
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PLEASE HELP!!!!!
WILL MARK BRAINLIEST!!!
What is the measure of angle A?
Multiple choice!
Thank you!
Answer:
60°
Step-by-step explanation:
since all sides of a triangle are equal .The given triangle is an equilateral triangle. And each angles of an equilateral triangles is 60 degree.So angle A is also 60 degree.
Find the percent
of change from
15 yards to 20 yards.
Answer:
33.33%
Step-by-step explanation:
Percent change equation is:
(x2 - x1) / x1 * 100%
where x1 is initial and x2 is final
Which inequality is true when c = 6.2?A: 29 >4.7cB: 5c< 32C: 37< 5.9cD: 2c> 12.4
Given,
The value of c is 6.2.
A: 29 >4.7c
\(\begin{gathered} 29>4.7\times6.2 \\ 29>29.14 \end{gathered}\)The statement is not correct.
B: 5c< 32
\(\begin{gathered} 5\times6.2>32 \\ 31>32 \end{gathered}\)The statement is not correct.
C: 37< 5.9c
\(\begin{gathered} 37<5.9c \\ 37<36.58 \end{gathered}\)The statement is not correct.
D: 2c> 12.4
\(\begin{gathered} 2c>12.4 \\ 12.4>12.4 \end{gathered}\)The inequality is true.
Which of the following is closest to the length
A: 7.2 units
B: 8 units
C: 10.8 units
D: 11.7 units
Answer:
C: 10.8 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Identify points from graph
Point X(-8, 1)
Point Y(2, 5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(2--8)^2+(5-1)^2}\)[√Radical] (Parenthesis) Subtract: \(\displaystyle d = \sqrt{(10)^2+(4)^2}\)[√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{100+16}\)[√Radical] Add: \(\displaystyle d = \sqrt{116}\)[√Radical] Evaluate: \(\displaystyle d = 10.7703\)Round: \(\displaystyle d \approx 10.8\)6x - 2y = 18
3x + 4y= -6
Which of the following ordered pairs (x, y) is the
solution to the system of equations shown above?
A. (-3,2)
B. (-2,3)
C. (2, -3)
D. (3,-2)
Answer:
C. (2, -3)
Step-by-step explanation:
Easiest and fastest way to get the solution set is to graph the systems of equations and analyze where the graphs intersect.
What are the solutions to the quadratic equation below
Answer: B is the correct answer.
Which of these is the best ending
line for this poem -- keeping the
same poetic rhythm and form as
the lines before?
My heart starts racing
For the sale I am chasing.
The way shopping makes me feel,
A. It is clear that I live for a deal.
B. is an adrenaline rush.
C. is awesome.
The best ending for the sale you are chasing depends on the context of the sale and the nature of your relationship with the customer.
However, if we assume that the sale is going well and you want to close it, then "C. is awesome" is not the best ending because it does not provide a clear call to action or address any potential concerns the customer may have.
Instead, a more effective ending could be something like: "Thank you for considering our product/service. I believe it will be a great fit for your needs and I'd love to help you get started.
Shall we go ahead and finalize the purchase?" This ending is friendly, confident, and provides a clear call to action that encourages the customer to make a decision.
It also acknowledges the customer's potential concerns and offers help to address them if needed.
In summary, the best ending for a sale depends on the specific context and customer, but a clear call to action and addressing any potential concerns are key elements to consider.
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Which expression is equivalent to (1/2(cos(pi/5)+ i sin(pi/5)))^5
a. 1/32(cos(pi/5) + i sin (pi/5))
b. 1/32(cos(pi) + i sin (pi))
C. 1/10(cos(pi/5) + i sin (pi/5))
d. 1/10(cos(pi) + i sin (pi))
Answer:
B
Step-by-step explanation:
did the course
The equivalent complex expression of \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\) is
\(\frac{1}{32} (cos(\pi)+i~sin(\pi))\)
The correct answer is an option (b)
What is complex number?"The number of the form a + ib, where a, b are real numbers and \(i=\sqrt{-1}\)"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
\((r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))\) "
For given question,
We have been given a complex expression \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\)
Using the DeMoivre's theorem,
\((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=(\frac{1}{2})^5~((cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=\frac{1}{32} (cos(\frac{5\pi}{5} )+i~sin(\frac{5\pi}{5} )) )\\\\= \frac{1}{32} (cos(\pi)+i~sin(\pi))\)
Therefore, the equivalent complex expression of \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\) is
\(\frac{1}{32} (cos(\pi)+i~sin(\pi))\)
The correct answer is an option (b)
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A carnival charges $3 for kids and $10 for adults. On Saturday there were 500 visitors,
Im waiting...
Go on...
Answer:
esement you do ten times 50
Step-by-step explanation:
you estement to a close number
what do you call a cow that's robing the store.
He's a high stakes hahahahahahahahaahahha
Answer:
LOL
Step-by-step explanation:
Sidney surveyed 14 students at her school about their favorite classes. Of the students surveyed, 8 said their favorite class was Math. What is the experimental probability that the next student Sidney talks to will pick Math? Fraction answer and reduce!
Answer:
4/7
Step-by-step explanation:
8/14=4/7
A case of Gatorade at Sam's Club is priced at $12.94. If there are 24 bottles in a case, what is the
approximate cost per bottle?
Answer:
About $0.539
Step-by-step explanation:
12.94 dollars / 24 bottles = $0.539
What is the domain of the square root function graphed below?
A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer
Answer:
yes
Step-by-step explanation:
Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: \(a^{2} +b^{2} = c^{2}\). Substitute using the given values:
(9^2)+(12^2)=15^2
81 + 144 = 255
255 = 255.
It satisfies the theorem therefore it is a right angle triangle.
A solid sphere is cut into 8 equal wedges. The volume of each wedge is
V= dor? Solve the formula for r.
O A. r =
6V
B. r = 6V – 7
O c. r= = v
OD. r= 16V (11)
Answer:
A) r=∛(6v)/\(\pi\)
Step-by-step explanation:
v=1/6\(\pi\)r³
v÷1/6=\(\pi\)r³
(when dividing by a fraction, invert and multiply)
6v=\(\pi\)r³
6v÷\(\pi\)=r³
(6v)/\(\pi\)=r³
take the cube root of both sides
∛(6v)/\(\pi\)=∛r³
∛(6v)/\(\pi\)=r
how many 1/4 cup servings are there in 3/8 cup peanut butter?
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 i think
Step-by-step explanation:
1/4:2/8 so it would be 1/4 and 1/8 or 1.5
Simply expression
Please show steps
Answer:
3(x + 5y) - 2(x + y)
3x + 15y - 2x - 2y
x + 13y
(3x + 15y) + (-2x + -2y)
x + 13y
Find the probability if three dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)
Using the binomial distribution, it is found that there is a 0.3472 = 34.72% probability that it comes up five exactly once.
For each dice that is rolled, there are only two possible outcomes, either it comes up 5, or it does not. The probability of a dice coming up 5 is independent of any other dice, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are three throws, hence \(n = 3\).A five is one of the six sides, hence \(p = \frac{1}{6} = 0.1667\)The probability that it comes up five exactly once is P(X = 1), hence:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 1) = C_{3,1}.(0.1667)^{1}.(0.8333)^{2} = 0.3472\)
0.3472 = 34.72% probability that it comes up five exactly once.
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11. What is the unknown number in
Sequence 2 in the chart?
Sequence Number
Sequence 1
Sequence 2
A 126
B 127
c 147
D 154
2 3 5
7
14 21 35 49
?
1
7
21 42 63 105
The missing number in Sequence 2 is 780.
To find the missing number in Sequence 2, let's analyze the pattern:
In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...
In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:
2 x 126 = 252
3 x 127 = 381
4 x 128 = 512
5 x 129 = 645
...
Looking at this pattern, we can see that the missing number in Sequence 2 should be:
6 x 130 = 780
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y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip
Answer:
y = 4\(\sqrt{5}\) , ? = 10
Step-by-step explanation:
using Pythagoras' identity on the smallest right triangle
x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )
x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
using Pythagoras' identity on the middle right triangle
y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )
y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)
using Pythagoras' identity on the largest right triangle
?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100
Take square root of both sides
? = \(\sqrt{100}\) = 10
Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?
Probability = # of desired options / # of total options
Our desired option is blue and there are 9 blue marbles in the bag.
There are 32 total marbles (options) in the bag.
P(blue) = 9 / 32 = 0.28125 = 28.125%
Hope this helps!
what is the least common denominator of the rational expressions below ?5/x^2-3/5x^2+12x
Answer:
\(\text{LCD: 6x}^2(x+2)\)Step-by-step explanation:
*LCD is the lowest common multiple of the denominators of a set of fractions.
As a first step, factor each denominator as much it can be factored:
\(\begin{gathered} x^2=x\cdot x \\ 6x^2+12x=6x(x+2) \end{gathered}\)Then, determine the maximum number of times they occur in any factorization to find the LCD:
\(\text{LCD: 6x}^2(x+2)\)On a number line, the coordinates of X, Y, Z, and W are - 6, -2, 4, and 8, respectively. Find the lengths of the two segments below. Then tell whether they are congruent
XY and ZW
If the coordinates of X, Y, Z, and W on a number line are - 6, -2, 4, and 8, respectively, then the lengths of the segment XY is 4 and that of the segment ZW is also 4, and hence, these two segments (XY and YZ) are indeed Congruent in nature.
To increase the understandability of this question, we will go ahead a visual representation of the number line based on the condition mentioned in the question statement, attached hereby as "Number Line (-10 to 10)".
As per the figure, we can clearly see that the line segment XY begins at (-6) on the number line and ends at (-2), i.e., Length of XY is:
[(-2) - (-6)] = 4.
Similarly, we can also see that the line segment ZW begins at (4) on the number line and ends at (8), i.e., Length of ZW is:
(8 - 4) = 4.
Also, since the lengths of both XY and ZW are same, i.e., 4 Units, they are congruent in nature.
Number Line: In elementary mathematics, a number line is a picture of a graduated straight line, with real numbers, (generally integers, both positive and negative) at equal intervals on it.Congruent Lines: Two line segments of equal lengths are known to be congruent.To learn more about number line, click on the link below.
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Question:
x P(x)
0 0.1
1 0.2
2 0.15
3 0.55
Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
Correct
Ans:
1.0620
The standard deviation of this probability distribution is approximately 1.060
What is standard deviation?
Standard deviation is a measure of the spread or variability of a set of data values. It measures the average distance of each data point from the mean of the data set. A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are spread out over a wider range of values.
The mean of the distribution can be found by summing the product of each value of \($x$\) and its corresponding probability:
\(\text{mean} &= \sum(x P(x))\)
\(&= 0(0.1) + 1(0.2) + 2(0.15) + 3(0.55)\)
\(&= 2.15\)
The variance can be found using the formula:
\(\text{variance} &= \sum[(x - \text{mean})^2 P(x)]\)
\(&= [(0 - 2.15)^2 \times 0.1] + [(1 - 2.15)^2 \times 0.2] + [(2 - 2.15)^2 \times 0.15] + [(3 - 2.15)^2 \times 0.55]\)
\(=[(4.62)0.1]+[(1.32)0.2]+[(0.02)0.15]+[(0.72)0.55]\)
\(&= 1.125\)
Finally, the standard deviation is the square root of the variance:
\(\text{standard deviation} &= \sqrt{\text{variance}} \approx 1.060\)
Therefore, the standard deviation of this probability distribution is approximately 1.060
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Polygon A is similar to Polygon B.
Find the perimeter of Polygon B.
24
A
PA = 128
15
B
PB = [?]
Answer:
\(P_{B}\) = 80
Step-by-step explanation:
given 2 similar figures with ratio of sides = a : b
then ratio of perimeters is also a : b
here ratio of sides = 24 : 15 = 8 : 5
the ratio of perimeters is also 8 : 5
then by proportion
\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is
\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )
8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )
\(P_{B}\) = 80
i need helppppp please answer correctlyyyy Multiply (−4) × (−2) × (−5).
Answer:
-40hope this helps...........
Marla Opper currently earns $105,000 a year and is offered a job in another city for $122,000. The city she would move to has 11
percent higher living expenses than her current city.
(a) What minimum salary should Marla require before accepting the new position?
Minimum salary required
(b) Should Marla accept the new job?
•Yes
•No
Answer:
determine the area of the square ABCD with AB=5cm and BC=3cm