A cooler contains nine bottles of sports drink: 4 lemon-lime flavored, 3 orange flavored, and 2
fruit punch flavored. Your friend randomly selects a drink and drinks it. 10 minutes later, you
randomly select a drink and drink it. What is the probability that your friend got a drink flavored
fruit punch and you got a drink flavored orange?
Answers
Answer:
The probability that out of the nine drinks in the cooler, one of the two friends selects a drink flavored fruit punch after which the next of the two friends selects a drink flavored orange is \(0.08 \overline 3\)
Step-by-step explanation:
The given parameters for the content of the cooler are;
The total number of bottles of sports drink in the cooler, n = 9 bottles
The number of lemon-lime flavored bottles of sports drink in the cooler, L = 4 bottles
The number of orange flavored bottles of sports drink in the cooler in the cooler, O = 3 bottles
The number of fruit punch flavored bottles of sports drink in the cooler, F = 2 bottles
The probability of selecting a drink flavored fruit punch, \(P_F\) = F/n = 2/9
The probability of selecting a drink flavored orange given that a drink flavored fruit punch has already been selected is \(P_{O(n_1)}\) = O/(n₁)
Where;
n₁ = n - 1 = 9 - 1 = 8
∴ \(P_{O(n_1)}\) = O/(n₁) = O/(n - 1) = 3/(9 - 1) = 3/8
Therefore, the probability that the first of two friends to select a drink got a drink flavored fruit punch and the second of the two friends got a drink flavored orange is, P = \(P_F\) × \(P_{O(n_1)}\)
∴ P = 2/9
\(P = \dfrac{2}{9} \times \dfrac{3}{8} = \dfrac{6}{72} = \dfrac{1}{12}\)
The probability that one of two friends selects a drink flavored fruit punch and the next of the two friends selected a drink flavored orange is P = 1/12 = 0.08\(\overline 3\).
Related Questions
2/3 times what equals 24?
Answers
Explanation
2/3x = 24
So we need to isolate the x by getting rid of 2/3 using the reciprocal and multiplying by it both sides as shown below
2/3x = 24
•(3/2). •(3/2)
X= 36
The number 24 is 2/3 times of the number 36.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the fine operations performed on them.
Variables are the name given to these symbols because they warrant set values. We constantly observe constant change in specific values in our day- to- day situations. But the need to depict these shifting values is ongoing.
In order to determine the values, these symbols are also subordinated to colorful addition, deduction, addition, and division computation operations.
We have to find 2/3 times what equals 24.
let the number be x.
So, 2/3 of x = 24.
2x/ 3 = 24
2x = 72
x= 72/ 2
x= 36
Thus, the required number is 36.
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If A={0,1,2,3,4,5,6,7,8,9} and R1={(x,y)∣x+y<=10, where (x,y)∈Z} also R2={(x,y)∣ x−y==0, where (x,y)∈Z}. Determine : a. List all the member of relation R1 b. List all the member of relation R2 c. R3=R1∩R2 d. R4=R1∪R2
From number 3 , determine the properties of relation and show the prove! a. R1 b. R2 c. R3 d. R4
Answers
a. R1: Reflexive, not antireflexive, not symmetric, antisymmetric, transitive.
b. R2: Reflexive, not antireflexive, symmetric, antisymmetric, transitive.
c. R3: Reflexive, not antireflexive, symmetric, antisymmetric, transitive.
d. R4: Reflexive, not antireflexive, not symmetric, not antisymmetric, not transitive.
a. List all the members of relation R1:
R1 = {(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (4, 0), (4, 1), (4, 2), (4, 3), (5, 0), (5, 1), (5, 2), (6, 0), (6, 1), (7, 0), (8, 0), (9, 0)}
b. List all the members of relation R2:
R2 = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8), (9, 9)}
c. R3 = R1 ∩ R2 (intersection of R1 and R2):
R3 = {(0, 0)}
d. R4 = R1 ∪ R2 (union of R1 and R2):
R4 = {(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (4, 0), (4, 1), (4, 2), (4, 3), (5, 0), (5, 1), (5, 2), (6, 0), (6, 1), (7, 0), (8, 0), (9, 0), (6, 6), (7, 7), (8, 8), (9, 9)}
a. R1:
- Reflexive: R1 is reflexive because every element (x, x) for x ∈ A is included in R1. For example, (0, 0) is in R1, (1, 1) is in R1, and so on.
- Antireflexive: R1 is not antireflexive because
it contains reflexive pairs.
- Symmetric: R1 is not symmetric because if (x, y) is in R1, it does not guarantee that (y, x) will also be in R1. For example, (0, 1) is in R1, but (1, 0) is not in R1.
- Antisymmetric: R1 is antisymmetric because if (x, y) and (y, x) are in R1, it implies that x = y. Since there are no such pairs in R1, the condition holds vacuously.
- Transitive: R1 is transitive because for any three elements (x, y), (y, z), (x, z) will also be in R1. This can be verified by checking all possible combinations of elements in R1.
b. R2:
- Reflexive: R2 is reflexive because every element (x, x) for x ∈ A is included in R2. For example, (0, 0) is in R2, (1, 1) is in R2, and so on.
- Antireflexive: R2 is not antireflexive because it contains reflexive pairs.
- Symmetric: R2 is symmetric because for any pair (x, y) in R2, (y, x) is also in R2. This can be verified by checking all pairs in R2.
- Antisymmetric: R2 is antisymmetric because if (x, y) and (y, x) are in R2, it implies that x = y. Since all pairs in R2 satisfy this condition, the relation is vacuously antisymmetric.
- Transitive: R2 is transitive because for any three elements (x, y), (y, z), (x, z) will also be in R2. This can be verified by checking all possible combinations of elements in R2.
c. R3 = R1 ∩ R2:
- Reflexive: R3 is reflexive because it contains the pair (0, 0) which is reflexive.
- Antireflexive: R3 is not antireflexive because it contains reflexive pairs.
- Symmetric: R3 is symmetric because it contains only one pair (0, 0), which is symmetric.
- Antisymmetric: R3 is antisymmetric because it contains no pairs that violate antisymmetry.
- Transitive: R3 is transitive because it contains only one pair (0, 0), and transitivity is vacuously satisfied.
d. R4 = R1 ∪ R2:
- Reflexive: R4 is reflexive because it contains all the reflexive pairs from R1 and R2.
- Antireflexive: R4 is not antireflexive because it contains reflexive pairs.
- Symmetric: R4 is not symmetric because it contains pairs from R1 that are not symmetric.
- Antisymmetric: R4 is not antisymmetric because it contains pairs from R1 that violate antisymmetry.
- Transitive: R4 is not transitive because it contains pairs from R1 and R2 that do not satisfy transitivity.
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The monthly sale (in thousands of units) for the t^th month after the introduction of a product in the market is given by S = 135t/(t^2 + 50). In which earliest month would the sale (S) have been 9?
Answers
Given the following equation:
\(\text{ S = }\frac{135t}{t^2\text{ + 50}}\)Let's determine t at S = 9.
We get,
\(\text{ 9 = }\frac{135t}{t^2\text{ + 50}}\)\(\frac{9(t^2+50\rparen}{9}\text{= }\frac{135t}{9}\)\(\text{ t}^2\text{ + 50 = 15t}\)\(\text{ t}^2\text{ -15t + 50}\)a = 1, b = -15 and c = 50
Apply the quadratic formula:
\(\text{ t = x = }\frac{-\text{b }\pm\text{ }\sqrt{\text{b}^2\text{ - 4ac}}}{\text{ 2a}}\)\(\text{ = }\frac{\text{ -\lparen-15\rparen }\pm\text{ }\sqrt{(-15)^2\text{ - 4\lparen1\rparen\lparen50\rparen }}}{\text{ 2\lparen1\rparen}}\)\(=\text{ }\frac{\text{ 15 }\pm\text{ }\sqrt{\text{ 225 - 200}}}{\text{ 2}}\)\(\text{ = }\frac{\text{ 15 }\pm\text{ }\sqrt{\text{25}}}{\text{ 2}}\)\(\text{ = }\frac{\text{ 15 }\pm\text{ 5}}{\text{ 2}}\)\(\text{ x}_1\text{ = }\frac{\text{ 15 + 5}}{\text{ 2}}\text{ = }\frac{20}{2}\text{ = 10th month}\)\(\text{ x}_2\text{ = }\frac{\text{ 15 - 5}}{\text{ 2}}\text{ = }\frac{\text{ 10}}{\text{ 2}}\text{ = 5th month}\)Therefore, the earliest month will be either the 5th or 10th month.
Among the given choices, only the 10th month is in the choices.
Therefore, the answer is CHOICE B : 10th
Consider two horses on a merry-go-round, one near the outside and one near the center. Suppose it takes 30 seconds for the outside horse to travel around once. The outside horse is 4 meters from the center. 21) Which horse has greater linear speed
Answers
As a result, the horse on the outside has a higher linear speed of about 0.84 meters per second, whereas the horse in the center has a linear speed of 0 metres per second.
To determine which horse has the faster linear speed, we must first compute the linear speed of each horse. The distance travelled per unit of time is referred to as linear speed.
The outside horse completes one revolution in 30 seconds and is 4 metres away from the centre. We divide the distance travelled by the time taken to calculate the linear speed:
Linear Speed = Distance / Time
For the outside horse:
Linear Speed = 2πr / t
where r is the distance from the center (4 meters) and t is the time taken (30 seconds).
Linear Speed = (2π × 4) / 30
Linear Speed ≈ 0.84 meters per second
Now consider the horse in the center. Because the merry-go-round rotates as a whole, the horse towards the center will likewise complete one revolution in 30 seconds. The distance between the center horse and the center point, on the other hand, is zero.
Linear Speed = 2πr / t
For the horse near the center:
Linear Speed = (2π × 0) / 30
Linear Speed = 0 meters per second
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A basket contains 5 pieces of paper numbered from 1 to 5. A hat contains the letters A, B, C and D. If a blindfolded person picks a number and then a letter, what is the probability that the number is greater than 3 AND the letter is C?
Answers
We have a basket and a hat.
The basket has the numbers 1, 2, 3, 4 and 5.
The hat contains the letters A, B, C and D.
We have to calculate the probabiltiy of drawing a number that is greater than 3 from the basket and drawing the letter C from the hat.
We have two events:
- Drawing a number greater than 3 from the basket
- Drawing a C from the hat
They are independent as the probability of each on does not depend on the outcome of the other event.
Then, we can calculate the probability of the two events happening together as the product of its probabilities:
\(P(n>3&l=C)=P(n>3)\cdot P(l=C)\)The probability of drawing a number greater than 3 can be described as 2/5, as we have 2 numbers greater than 3 (4 and 5) out of 5 numbers in the basket.
The probability of drawing a letter C can be described as 1/4, as we have one letter C out of 4 letters available.
Then, we can calculate the probability as:
\(\begin{gathered} P(n>3&l=C)=P(n>3)\cdot P(l=C) \\ P(n>3&l=C)=\frac{2}{5}\cdot\frac{1}{4}=\frac{2}{20}=\frac{1}{10} \end{gathered}\)Answer: the probability is 1/10 or 0.1.
= (4x3 + 7x2 – 2) (2x2 – 3x + 8)
how to simplify this?
Answers
Answer:
24 ( 12 -3x)
Step-by-step explanation:
(4x3 + 7x2 – 2) (2x2 – 3x + 8)
(12 + 14 - 2) (4 - 3x + 8)
(26-2) (12 - 3x)
24 (12 -3x)
the triangles below are similar. find the value of the variable m
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
:) Have a good day!
The concentration of a reactant is a random variable with probability density function what is the probability that the concentration is greater than 0.5?
Answers
Answer:
The problem seems to be incomplete as the probability density function is not given. Please provide the probability density function to solve the problem.
Step-by-step explanation:
Without the probability density function, we cannot determine the probability that the concentration of the reactant is greater than 0.5. We need to know the probability distribution of the random variable to calculate its probabilities.
Assuming the concentration of the reactant follows a continuous probability distribution, we can use the cumulative distribution function (CDF) to calculate the probability that the concentration is greater than 0.5.
The CDF gives the probability that the random variable is less than or equal to a specific value.
Let F(x) be the CDF of the concentration of the reactant. Then, the probability that the concentration is greater than 0.5 can be calculated as:
P(concentration > 0.5) = 1 - P(concentration ≤ 0.5)
= 1 - F(0.5)
To find the value of F(0.5), we need to know the probability density function (PDF) of the random variable. If the PDF is not given, we cannot find the value of F(0.5) and therefore, we cannot calculate the probability that the concentration is greater than 0.5.
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The probabilities of the top-selling menu item in four towns' restaurants being different types of vegetarian and nonvegetarian sandwiches are given in the table. If the restaurant in town 4 has a nonvegetarian sandwich as its top-selling menu item, what is the probability that it is a ham sandwich?.
Answers
The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24% is 0.2529.
What is the probability?Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, probability has been introduced in mathematics.
Solution of the given sum :The sum of probabilities of all non vegetarian sandwiches that is
= 5.86% + 6.54% + 6.24% + 6.33% = 24.67%
The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24%.
Probability = 0.064/0.2467
= 0.2529
Hence the probability is 0.2529
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I hate school I really do!
Answers
Answer:
SAMEEE
Step-by-step explanation:
QUIT SCHOOOOLLL
The graph of a function is shown on the coordinate plane below. Identify the rate of
change of the function.
Answers
=========================================================
How to get that answer:
The slope is the rate of change for any linear function.
Apply the slope formula for any two points on the diagonal line.
I'll use the points (-4, -3) and (0, 4)
\(m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\\)
The slope is m = 7/4
This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)
slope = rise/run = 7/4
rise = 7, run = 4
The fraction 7/4 converts to the decimal form 1.75
Rule 1: Multiply by 2, then add one third starting from 1. Rule 2: Add one half, then multiply by 4 starting from 0. What is the fourth ordered pair using the two sequences?
A) (two and one third, 2)
B)(four and two thirds, 42)
C)(5, 10)
D)(10, ten and one half)
Answers
The correct answer is not listed in the options, so there might have been a mistake in the question or the choices provided. To find the fourth ordered pair using the two sequences, we need to apply each rule to the previous result, starting from the given starting points.
Using Rule 1, starting from 1:
- Multiply by 2: 1 x 2 = 2
- Add one third: 2 + (1/3) = 7/3
So the first term of the fourth ordered pair is 7/3.
Using Rule 2, starting from 0:
- Add one half: 0 + 1/2 = 1/2
- Multiply by 4: (1/2) x 4 = 2
So the second term of the fourth ordered pair is 2.
Therefore, the fourth ordered pair is (7/3, 2).
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You roll a die with the sample space S=(1,2,3,4,5,6]. You define A as (1,2,4),B as [1,2,4,5,6],C as [5,6) and D as [2,3,6) Determine which of the following events are exhaustive and/or mutually exclusive
Answers
- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.
To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.
To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.
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2. Make a conjecture:
What do you think is the measure of the
angle of rotation?
Answers
Answer:
90
Step-by-step explanation:
edg 2021
The measure of the angle of rotation must be always greater than zero.
An angle of rotation is the measure of the amount that a figure is rotated about a fixed point called a point of rotation. Angle of rotation is usually given in degrees, but can be given in radians or numbers (and/or portions) of "turns".
Now here we conclude that if any object is rotated around a fixed point and it doesn't displace from its initial position than no rotation has to be done. so it is compulsory that the object must be displaced from its initial position so that it has some angle of rotation.
Hence The measure of the angle of rotation must be always greater than zero.
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How many solutions does the equation 4x + 8 = −2 − 2 + 5x have?
Two
One
None
Infinitely many
Answers
infinitely many
its correct
The number of the solution of the equation is one. Then the correct option is B.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
4x + 8 = −2 − 2 + 5x
Simplify the equation, we have
4x + 8 = −2 − 2 + 5x
8 + 4 = 5x – 4x
x = 12
The number of the solution of the equation is one. And the solution of the equation will be 12.
Then the correct option is B.
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Last month, Seth made money by selling stocks. His investment income was $401\$401$401dollar sign, 401.
This month, Seth's investment income is −$261-\$261−$261minus, dollar sign, 261. What does this mean?
Answers
That means , Seth gain loss of $261 on his selling stocks.
Last month, Seth made money by selling stocks. His investment income was $401 This month, Seth's investment income is −$261 What does this mean?
Profit(P)
The amount gained by selling a product for more than its cost price.
Loss(L)
The amount the seller incurs after selling the product less than its cost price is mentioned as a loss.
Cost Price (CP)
The amount paid for a product or commodity to purchase is called a cost price. Also, denoted as CP. This cost price is further classified into two different categories:
Fixed Cost: The fixed cost is constant, it doesn’t vary under any circumstances
Variable Cost: It could vary depending on the number of units and other factors
Selling Price (SP)
The amount for which the product is sold is called the Selling Price. It is usually denoted as SP. Also, sometimes called a sale price.
Marked Price Formula (MP)
This is basically labelled by shopkeepers to offer a discount to the customers in such a way that,
Discount = Marked Price – Selling Price
And Discount Percentage = (Discount/Marked price) x 100
Profit and Loss Formulas
Now let us find the profit formula and loss formula.
The profit or gain is equal to the selling price minus the cost price.
Loss is equal to the cost price minus the selling price.
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
The formula for the profit and loss percentage is:
Profit percentage (P%) = (Profit /Cost Price) x 100
Loss percentage (L%) = (Loss / Cost price) x 100
Last month
Seth made money by selling stocks.
His investment income was $401
That means , Seth gain profit of $401 on his selling stocks.
This month
Seth's investment income is −$261
That means , Seth gain loss of $261 on his selling stocks.
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Graph the line with the points (2,3) with the slope =1/2
Answers
To solve this problem, first, we compute the equation of the line that passes through the point (2,3) and has slope 1/2 using the slope-point formula for the equation of a line:
\(y-3=\frac{1}{2}(x-2)\text{.}\)Answer:
Find f(4) if f(x) = 3x -1
Answers
Answer:
11
Step-by-step explanation:
f(4)=3(4)-1
f(4)=12-1
f(4)=11
You are having a birthday party and are inviting 666 friends. You have 999 cupcakes, and you are going to share the cupcakes fairly among you and your 666 friends.
Which equation describes how many cupcakes each of you will receive?
Answers
Equation describes how many cupcakes each of you will receive,
999 ÷ 667 = 1.50.
To divide the cupcakes fairly among you and your 666 friends,
we have to determine how many cupcakes each person will receive.
To do this, you would divide the total number of cupcakes by the total number of people sharing them.
In this case,
you have 999 cupcakes and 667 people (you plus your 666 friends)
who will be sharing them.
Dividing 999 by 667 gives you 1.4992491 cupcakes per person,
which can be rounded to 1.50 cupcakes per person for simplicity.
So we would need to ensure that each person receives 1.50 cupcakes to divide them fairly among everyone.
Of course, this assumes that each person is happy to receive a fraction of a cupcake, as it may not be possible to divide the cupcakes into exact portions for everyone.
Nevertheless, this equation provides a good estimate for how many cupcakes each person would receive at your birthday party.
Hence,
The equation is 999 ÷ 667 = 1.50.
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If y varies inversely as x and y = 8 when x = 9, find x when y = 12.
Answers
Answer:
x = 6
Step-by-step explanation:
An inverse variation is
xy = k where k is the constant of variation
8*9 = k
72 = k
xy = k
Let y = 12
x*12 = 72
Divide each side by 12
12x/12 =72/12
x = 6
Please help!
4. Evaluate | –2 | = ?
Answers
Answer:
that would equal 2 I hope this helps you
What is Cauchy-Schwarz inequality?
Answers
The Cauchy-Schwarz inequality is a mathematical theorem that states that for any two sequences of real numbers, the sum of the product of the corresponding terms of the sequences is less than or equal to the product of the sums of the sequences.
In other words, it gives a bound on the dot product of two vectors in terms of their lengths. The Cauchy-Schwarz inequality is used in various fields of mathematics, including analysis, linear algebra, and optimization, and has numerous applications, for example in probability theory, statistics, and quantum mechanics.
In summary, the Cauchy-Schwarz inequality provides a powerful tool for bounding the dot product of two vectors in terms of their lengths, and has wide-ranging applications in various branches of mathematics and related fields.
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I have tried and tried I just cant get one thing to be right
Answers
axis of symmetry: x=1
min
minimum value: y=-4
x intercepts: -1, 3
y intercept: -3
i dont know how to find solutions or roots sorry
What is free space when I see this what exactly does it mean or
what should I expect?
Is there a special formula upcoming?
explain!!
free space
Answers
Free space, when referred to in a particular context, typically means an area or zone that is unoccupied or devoid of any physical objects or obstructions. It represents a state of emptiness or absence of constraints within a given environment.
What does it signify when we encounter free space, and how does it impact our perception of the surroundings?Free space is a concept commonly encountered in various domains, ranging from physics to computer science and architecture. In physics, free space refers to the hypothetical space that is devoid of matter, providing an idealized environment for scientific calculations and experiments. It allows scientists to study the behavior of fundamental particles, electromagnetic waves, and other phenomena without interference from external factors.
In computer science, free space pertains to available memory or storage capacity in a system. When considering computer storage, free space represents the unoccupied segments on a hard drive or other storage media, where data can be stored or modified. It is crucial for the smooth functioning of a computer system, as it allows users to save files, install new software, and perform other necessary tasks.
In architecture and design, free space refers to unobstructed areas within a structure or a layout. It represents open areas, voids, or negative spaces intentionally incorporated into a design to create a sense of balance, flow, and visual appeal. Free space in architecture can provide opportunities for movement, relaxation, and interaction, enhancing the overall experience of the space.
In summary, free space can mean different things depending on the context in which it is used. Whether it is the absence of matter in physics, available memory in computer science, or unobstructed areas in architecture, free space offers the potential for exploration, utilization, and creative expression.
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110°
х
z
у
Find the unknown angle measures
Answers
Answer:
x = z = 70°
y = 110°
Step-by-step explanation:
From the diagram, we have 4 angles;
To find y;
110° and y are vertically opposite angles so they are equal.
So, y = 110°
Also, y and x lie on a straight line. Sum of angles on a straight line is 180°;
y + x = 180
110 + x = 180
x = 180-110 = 70°
Also, x and z are vertically opposite angles and they are equal;
x = z = 70°
y = 110°
PLEASE HELP!!!!! Lines BC and EF meet at A. Set up an equation to find the value of x. Find the measurements of EAH and HAC
Answers
Answer:
Value of X = 21
EAH = 63
HAC = 84
Step-by-step explanation:
Which of the following is the correct expression, in scientific notation, of the number 37,500 ? \( 3.75 \times 10^{3} \) \( 3.75 \times 10^{-3} \) 37,500 \( 3.75 \times 10^{4} \)
Answers
Answer: 3750
Step-by-step explanation:
13=2m+5
m = ?
help me pls
Answers
Answer:
m=4
Step-by-step explanation:
Answer:
The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha
Step-by-step explanation:
13-5 = 2m + 5 - 5 (Subtract 5 from both sides of the equation)
8 = 2m (Simplify)
8/2 = 2m/2 ( Divide both sides of the equation by the same term)
m= 4 (Solution)
the ramirez drove 200 miles using 10 gallons of gas they drove 280 miles using 14 gallons of gas how many miles did they drive per gallon
Answers
Answer:
Step-by-step explanation:
Which statements are true of functions? Check all that apply.
All functions have a dependent variable.
All functions have an independent variable.
The range of a function includes its domain.
A vertical line is an example of a functional relationship.
A horizontal line is an example of a functional relationship.
Each output value of a function can correspond to only one input value.
Answers
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Step-by-step explanation: