Answer:
In a triangle, the sum of the three angles is always 180°.
So, we can write the equation:
m/F + m/G + m/H = 180°
Substituting the given values:
(3x - 15)° + (8x + 8)° + (2x + 18)° = 180°
Simplifying and solving for x:
13x + 11 = 180
13x = 169
x = 13
Therefore, the value of x is 13.
Vita used the model below to find the sum of two mixed numbers what is the sum?
Answer:
the first mixed number is 1 8/10 which is reduced to 1 and 4/5 and the seconde is 2 and 3/5 added equals 4 and 2/5
Step-by-step explanation:
1 plus 2 equals 3
and 3/5 plus 4/5 equals 7/5
turn it into a mixed number which equals 1 and 2/5 the add 3 and u get 4 and 2/5
can anyone answer this please
Math 5th grade
The rule for an input/output table is output = x + 2
The output for the expression x+2 will be;
0 = 2
1 = 3
2 = 4
3 = 5
What are functions?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Using the function Output = x + 2
For input x = 0
Output = 0 + 2
Output = 2
For input x = 1
Output = 1 + 2
Output = 3
For input x = 2
Output = 2 + 2
Output = 4
For input x = 3
Output = 3 + 2
Output = 5
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Solve the inequation x - 12 ≤ 3 - 2x and graph its solution.
Let's do these one-by-one.
The solution to x - 12 ≤ 3 - 2x is:
Answer:
Step-by-step explanation:
x - 12 ≤ 3 - 2x
3x ≤ 15
x ≤ 5
To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
114
63
177
Do not play a
sport
61
67
128
Total
B. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.36.
175
150
Are being a girl and playing a sport independent events? Why or why not?
D. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.54.
325
A. Yes, they are independent, because P(girl)≈ 0.46 and P(girl | plays
a sport)≈ 0.36.
OC. Yes, they are independent, because P(girl) ≈ 0.46 and P(girl | plays
a sport) = 0.54.
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.
What is independent event ?
In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.
Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:
P(A and B) = P(A) x P(B)
If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.
According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.
Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.
We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.
If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.
This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.
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Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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According to the Stack Overflow Developers Survey of 20184 , 25.8% of developers are students. The probability that a developer is a woman given that the developer is a student is 7.4%, and the probability that a developer is a woman given that the developer is not a student is 76.4%. If we encounter a woman developer, what is the probability that she is a student
Answer:
3.26%
Step-by-step explanation:
The computation of the probability that she is a student is shown below:
Percentage of student developers = 25.8% = SD
The Percentage of the developer is student = 7.4% = DS
The percentage of the developer is not student = 76.4% = ND
Based on this, the probability is
\(= \frac{SD \times DS}{SD \times DS + DS \times ND}\)
\(= \frac{25.8\% \times 7.4\%}{25.8\% \times 7.4\% + 7.4\% \times 76.4\%}\)
=3.26%
we simply considered all the elements
Juan has 36 in of string how many 3 and 1/4 in pieces can one cut from the string? a. 8 b.9 c.11 d.12?
Answer:
C. 11
Step-by-step explanation:
36÷3.25= 11.07
Round down, he can cut 11 strings.
On a family outing, Tyler bought 5 cups of hot cocoa and 4 pretzels for $18.40.
Some of his family members would like a second serving, so he went back to the same food stand and bought another 2 cups of hot cocoa and 4 pretzels for $11.20.
Here is a system of equations that represent the quantities and constraints in this situation.
equation 1: `5c+4p=18.40`
equation 2: `2c+4p=11.20`
What does the solution to the system, `\left(c,p\right)`, represent in this situation?
Answer:
(_11)×15 please help help me me my question solve please
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
Molly and George earned 352 points together. Molly has half the number of points as
George. Which equation could represent this situation? Let g represent the number of
points George earned.
Answer:
Assume G = George
I can use the problem to find that:
G + 1/2G = 352
In 2000, the average plane ticket cost $323.85. Now, the average place ticket is $342.98. Determine the change in price of the plane ticket.
Answer:
19.13
Step-by-step explanation:
You take 342.98 and you minus 323.85
John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute Suppose John's words per minute on a typing test are normally distributed. Let X = the number of words per minute on a typing test. Then X-N(58,11) If necessary, round to three decimal places. Provide your answer below: Suppose John types 72 words per minute in a typing test on Sunday. The 2-score when x = 72 is the mean is This 2-score tells you that x = 72 is standard deviations to the right of the mean.
Z-score is 1.27 for x = 72.
According to this z-score, x = 72 is 1.27 standard deviations away from the mean.
What is Standard Deviation?
The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given,
On a typing test, John averages 58 words per minute with a standard deviation of 11 words per minute
µ = 58 words per minute.
σ = 11 per minute in words
On a typing test, X represents the maximum words per minute.
On a typing test, John's words per minute are distributed normally.
As X- N, the normal distribution can be described (µ ,σ)
This indicates that X is normally distributed, with X - N for the mean and SD (58, 11)
Consider John taking a typing test on Sunday and typing 72 words per minute, i.e. x = 72
For John's score, we must determine the Z-score, which may be done as
Z = X-µ/σ
Put known values in the Z-score calculation.
Z = 72 - 58/11
Z-score, thus, is 1.27 when x = 72.
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Carlos needs an average of 90% or greater on his quiz scores to earn an A in science class for the quarter. Each quiz is worth 20 points. The scores of his first four quizzes are shown in the table. There is one more quiz this quarter. Quiz Score 1 2 3 4 18 at least 19 17 20 What is the mininum score Carlos can earn on the final quiz to earn at least a 90% average? points
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
We have,
Let's start by finding the total number of points that Carlos can earn in the class:
Total points
= 5 quizzes x 20 points per quiz
= 100 points
If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.
Total points earned.
= 18 + 19 + 17 + 20
= 74 points
To find the minimum score Carlos needs on the final quiz, we can set up an inequality:
(74 + x) / 5 ≥ 0.9
where x is the score on the final quiz.
Simplifying this inequality.
74 + x ≥ 90
x ≥ 16
Therefore,
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
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is (0,5) a solution of y = -3x - 5
Answer:
Yes
Step-by-step explanation:
Insert (0,5) to the problem.
-5 = -3(0) - 5
0 - 5
-5 = -5
Why school sucks: A makes you learn stuff you don’t care about and will never use B teachers suck and don’t teach property C they don’t teach you useful things like taxes bills ect D they overwork students E its not even about learning anymore all goals are is just good grades.
Why is our future determined on letters on a piece of paper? I’d rather die then be in this society
Answer:
I think answer is E
Step-by-step explanation:
Gỉaỉ pt
2x^2×(2x^2+3)=2-x^2 ai giải giúp vs
2x²×(2x²+3)=2-x²
\(x = \frac{1}{2} , - \frac{1}{2} ,i \sqrt{2} , - i \sqrt{2} \)
Give a brief definition of the term descriptive statistics.
Step-by-step explanation:
what is Descriptive statistics?
Descriptive statistics involve the use of fundamental information from a dataset to make a summary, general, or overview report of the information from the given data. in descriptive statistics, results are collected from data directly without making direct inference
with descriptive statistics, you are simply describing what is or what the data shows
How important is descriptive statistics?
Descriptive statistics aids in the presentation of data in a precise, understandable manner, which allows a simpler interpretation of the data.
hence with descriptive statistics storytelling for data becomes very easy as we can visualize results and make reports through Descriptive statistic
Use only the digits 0 - 9 to complete the fraction.
__
1.90 = 21/___
suppose you roll two six-sided dice. let the macrostate s of the two dice be the sum of their top faces.
The macrostate s of two six-sided dice can be defined as the sum of the top faces of the dice.
The macrostate of a system refers to a comprehensive description of the system in terms of its properties and variables that are used to characterize it. In the case of two six-sided dice, the macrostate is described by the sum of the numbers on the top faces of the two dice, which determines the total score or outcome. This macrostate, represented by the variable "s", is a measurable quantity that summarizes the state of the system, providing information about the distribution of the outcomes over all possible configurations of the two dice.
It's important to note that a macrostate does not specify the exact configuration of the system, but rather provides a probabilistic description of it. In other words, the macrostate "s" only describes the sum of the two dice and does not specify which number is on each die. In thermodynamics, macrostates are used to characterize the thermodynamic properties of a system, such as its temperature, pressure, and entropy. The study of macrostates and their distributions helps us to understand the behavior of complex systems and make predictions about their future behavior.
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Please help answer this
The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3
What is a dilation transformation?A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.
The specified scale factor from triangle S to triangle M = 3/2
3/2 = 1.5
Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S
Let L represent the length of a side of triangle S, we get;
The length of the corresponding side on triangle M = 1.5 × L
The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;
Scale factor, SF, from M to S = Length of a side on triangle S ÷ Length of the corresponding side on triangle
Therefore;
\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)
1.5 = 3/2, therefore;
\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)
Therefore, the scale factor from M to S is 2/3
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Sarah had 1 3/4 bags of trail mix. She age 1/2 of a bag. She gave 1/3 of a bag to her friend. She dropped 1/6 of a bag and she was sad. How much trail mix did she had left?
Answer:
3/4 bags of trail mix
Step-by-step explanation:
She ate 1/2 of a bag, she gave 1/3 of a bag, and she dropped 1/6 of a bag. In total she "lost" 1/2+1/3+1/6=1 bag of trail mix. So she has 1 3/4-1=3/4 bags left
What are the coordinates of the image a ABC after a dilation with center (0,0) and a scale factor of 3? Explain how you got your answers.
Answer:
1) List the coordinates ΔABC
A(2,2) , B(4,6), C(6,2)2) State the rule of dilation
(x,y) → (3x,3y)3) Apply the rule:
A´. (2,2) A´(3(2),3(2)) =A´(6,6)B´. (4,6) B´(3(4),3((6)= B´(12,18)C´. (6,2) C´(3(6),3(2))=C´(18,6)Ans: A´(6,6) B´(12,18)C´(18,6)
-----------------------------
hope it helps...
have a great day!!
Answer:
A(6,6) B(12,18)C (18,6)
Step-by-step explanation:
hope it helps you...
1. A block of weight W = 300 lb rests on a shelf as shown in the following figure 0 = 60 degrees.
a. Using the x-y coordinate system shown in the figure, write the forces F1 and F2, and the weight W in rectangular form.
b. Determine the values of F1 and F2 such that F1 + F2 + W = 0.
After answering the presented question, we can conclude that Therefore, the values of F₁ and F₂ such that F₁ + F₂ + W = 0 are F₁ = 109.44 Newton and F₂ = 57.74 N.
Using the x-y coordinate system shown in the figure, write the forces F₁ and F₂, and the weight W in rectangular form.
Determine the values of F₁ and F₂ such that F₁ + F₂ + W = 0.
Here's how to solve this problem:
The forces F₁ and F₂, and the weight W can be resolved into their x and y components using trigonometry. The weight W has components Wx = Wcos(30) and Wy = Wsin(30), where θ = 30 degrees. F₁ has components F₁x = F1sin(30) and F₁y = F1cos(30), and F₂ has components F₂x = F₂cos(30) and F₂y = F₂sin(30).
To determine the values of F₁ and F₂ such that F₁ + F₂ + W = 0, we need to use the fact that the block is in static equilibrium, which means that the net force in both the x and y directions is zero.
In the x-direction, we have:
F₁x - F₂x - Wx = 0
Substituting in the values of Wx and F1x and F₂x, we get:
F₁sin(30) - F₂cos(30) - W*cos(30) = 0
In the y-direction, we have:
F₁y + F₂y - Wy = 0
Substituting in the values of Wy and F1y and F₂y, we get:
F₁cos(30) + F₂sin(30) - W*sin(30) = 0
We now have two equations with two unknowns (F1 and F2). Solving for F₁ and F₂ simultaneously, we get:
F₁ = Wcos(30) - F2cos(30)
Substituting this into the y-direction equation, we get:
(Wcos(30) - F2cos(30))cos(30) + F2sin(30) - W*sin(30) = 0
Simplifying, we get:
F₂ = (W*sin(30))/(sin(30) + cos(30)) = 57.74 N
Substituting this into the equation for F1, we get:
F₁ = Wcos(30) - F₂cos(30) = 109.44 N
Therefore, the values of F₁ and F₂ such that F₁ + F₂ + W = 0 are F₁ = 109.44 N and F₂ = 57.74 N.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
In need of help immediately !!!
For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zack’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? The equation 4( s +8) = 48 represents the situation when s represents the cost, in dollars, of one snack.
Answer:
Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144
Step-by-step explanation:
write 1.2 as a percent
please if you can show your work
THANKS!!
Answer:
120%
Step-by-step explanation:
its 20/100, because a zero has to be at the end of 2 and that would be 20 and it cant be over 10 cause thats imporper so its over 100
Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18
Answer:
y=-4x+3
Step-by-step explanation:
it does not show the equations that are following
but the main thing you need to know is that when two lines are parallel they have the same slope
and do you mean 2x+8y=18 not x?
edit:
answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9
2y+8x=18
first change that equation to slope intercept form to find the slope
2y = -8x+18 -> y = -4x+9
slope is -4
so the answer is y=-4x+3 because it also has a slope of -4
HELP PLEASE!!!!
What is.........
2+77+2+4+18+9/4+5+23+78+33-76-4+12=???????????????????
Answer:
We can solve this expression using the order of operations, also known as PEMDAS:
2 + 77 + 2 + 4 + 18 + (9/4) + 5 + 23 + 78 + 33 - 76 - 4 + 12
First, we can simplify the fraction by adding the whole number and fraction parts:
2 + 77 + 2 + 4 + 18 + 2.25 + 5 + 23 + 78 + 33 - 76 - 4 + 12
Next, we can perform addition and subtraction from left to right:
= 187 + 2.25 + 68
= 257.25
Therefore, the value of the expression 2+77+2+4+18+9/4+5+23+78+33-76-4+12 is 257.25.
LOL the answer is 176.25