The value of the x in the expression 2(1/4) = 1(2/7) ÷ x is 4/7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2(1/4) = 1(2/7) ÷ x
2(1/4) = 9/4
1(2/7) = 9/7
Now,
9/4 = 9/7 ÷ x
9/4 = 9/7x
7x = (9 x 4)/9
x = 4/7
Thus,
The value of x is 4/7.
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what is the value of the x- intercept of the following equation? 2x-6y=14
Answer:
x-3y-7=0
Step-by-step explanation:
Dont care bruuhh
clare is painting some doors that are all the same size. she used 2 liters of paint to cover doors. how many liters of paint are needed for 1 door? explain how you would represent the situation, then find the answer.
When 2 liters of paint is used to paint 1 3/5 doors, 1.25 liters of paint is needed to paint 1 door.
This problem involves mixed fraction and division. A mixed fraction involves a fraction expressed with its quotient and its remainder. Converting mixed fraction to improper fraction.
1 and 3/5 = ( 1×5 + 3 ) / 5
= 8/5
Thus 2 liters of paint is used to paint 8/5 doors.
Now applying rule of division of fractions, liters of paint to paint 1 door
= 2/ (8/5)
= ( 2 × 5 ) / 8
= 10 / 8
= ( 8×1 + 2 ) / 8
= 1 + 2/8
= 1 + 1/4
= 1.25
-- The question is incomplete, the correct question is as follows --
"Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 and 3/5 doors. How many liters of paint are needed for 1 door? explain how you would represent the situation, then find the answer."
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a 20 gallon tub is being filled with water at a rate of 0.5 gallons per minute. the tub originally had 5 gallons of water in it. what is the range of the fuction that represents the volume iof water in the tub after x minutes
The range of the function that represents the volume if water throughout the tub after x minutes will be "\(5 \leq V(x) \leq 20\)".
According to the question,
V(x) is volume after x minute.
then,
→ \(V(x) = 0.5x+5\)
Volume of bathtub is 20 gallons,
→ \(20=0.5x+5\)
By substracting "5" from both sides of the equation, we get
→ \(20-5=0.5x+5-5\)
→ \(15=0.5x\)
→ \(x = \frac{15}{0.5}\)
→ \(x = 30\ minutes\)
hence,
→ \(5 \leq V(x) \leq 20\)
Thus the above answer is right.
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plssss help???????? don’t understand
Answer:
cos N = 7/25 =.28
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos N = MN/ LN
We need to find the ad
Using the Pythagorean theorem
a^2+b^2 = c^2
MN^2 + 48^2 = 50^2
MN^2 + 2304 =2500
MN^2 = 2500-2304
MN^2 =196
Taking the square root
MN =14
cos N = MN/ LN
cos N = 14/50
cos N = 7/25
Answer: CosN (0.28)
A²+B²=C²
In this case we are trying to find the base so
C²-A² = B²
So 50² subtract 48²= B²
2,500 subtract 2,304 = 196
Square root of 196 = 14
Now we have all 3 sides of the triangle we find
Soh Cah Toa
Cah means Cos=Adjacent / hypotenuse
First we identify the Angle before we can decide which of the sides is labelled opposite anx adjacent
We have Angle N and we know our hypotenuse (The longest side of the triangle)
The opposite of the angle would be our opposite and the one thats niether our opposite or hypotenuse is our adjacent
In this cse the angle we solved for B²= 14
Again back "Cah" Cos= Adjacent/hypotenuse
So, 14/50 = 0.28
Step-by-step explanation:
Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample A in meters? Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample B in meters? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively?
1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters
2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters
Since we know that the wavelength = speed of light / frequency
The speed of light is 3.00 × \(10^8\) meters per second.
For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;
wavelength of A = (3.00 × \(10^8\) m/s) / (4.30 × 10^15 Hz)
wavelength of A = 6.98 × \(10^{-8}\) meters
For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;
wavelength of B = (3.00 × \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)
wavelength of B = 3.45 × \(10^{-11}\) meters
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If BD = 16 yd and the area of rhombus ABCD is 72 yd^2, what is AC?
Formula for finding area of rhombus: \(\frac{d1 * d2}{2}\)
d₁ = 16 yd
Area = 72 yd²
Rhombus Area =>
\(\frac{16 * d2}{2} = 72\)
16*d₂ = 144
d₂ = 9
AC = 9 yd
Hope it helps!
Exercise 7.28. Let X1, X2, X3 be independent Exp(4) distributed random vari ables. Find the probability that P(XI < X2 < X3).
The probability that P(X1 < X2 < X3) is 1/8.
We can solve this problem using the fact that if X1, X2, X3 are independent exponential random variables with the same rate parameter λ, then the joint density function of the three variables is given by:
f(x1, x2, x3) = λ^3 e^(-λ(x1+x2+x3))
We want to find the probability that X1 < X2 < X3. We can express this event as the intersection of the following three events:
A: X1 < X2
B: X2 < X3
C: X1 < X3
Using the joint density function above, we can compute the probability of each of these events using integration. For example, the probability of A is:
P(X1 < X2) = ∫∫ f(x1, x2, x3) dx1 dx2 dx3
= ∫∫ λ^3 e^(-λ(x1+x2+x3)) dx1 dx2 dx3 (integration over the region where x1 < x2)
= ∫ 0^∞ ∫ x1^∞ λ^3 e^(-λ(x1+x2+x3)) dx2 dx3 dx1
= ∫ 0^∞ λ^2 e^(-2λx1) dx1 (integration by substitution)
= 1/2
Similarly, we can compute the probability of B and C as:
P(X2 < X3) = 1/2
P(X1 < X3) = 1/2
Note that these probabilities are equal because the three exponential random variables are identically distributed.
Now, to compute the probability of the intersection of these events, we can use the multiplication rule:
P(X1 < X2 < X3) = P(A ∩ B ∩ C) = P(A)P(B|A)P(C|A∩B)
Since A, B, and C are independent, we have:
P(B|A) = P(B) = 1/2
P(C|A∩B) = P(C) = 1/2
Therefore:
P(X1 < X2 < X3) = (1/2)(1/2)(1/2) = 1/8
Thus, the probability that X1 < X2 < X3 is 1/8.
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Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A. Positive correlation means that both variables tend to increase (or decrease) together.
B. Positive correlation means that there is a good relationship between the two variables.
C. Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D. Positive correlation means that there is no apparent relationship between the two variables.
Define negative correlation. Choose the correct answer below.
A. Negative correlation means that there is no apparent relationship between the two variables.
B. Negative correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
C. Negative correlation means that there is a bad relationship between the two variables.
D. Negative correlation means that both variables tend to increase (or decrease) together.
Define no correlation. Choose the correct answer below.
A. No correlation means that there is no apparent relationship between the two variables.
B. No correlation means that the two variables are always zero.
C. No correlation means that both variables tend to increase (or decrease) together.
D. No correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.
The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.
Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.
Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.
No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.
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Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.45. If needed, round your answer to three decimal digits.
Find P(A | B)
Find P(B | A
Are A and B independent? Why or why not?
The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.
To find P(A | B), we use the formula:
P(A | B) = P(A ∩ B) / P(B)
In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.
Plugging these values into the formula, we get
P(A | B) = 0.45 / 0.60 = 0.750.
To find P(B | A), we use the formula:
P(B | A) = P(A ∩ B) / P(A)
Here, P(A ∩ B) = 0.45 and P(A) = 0.50.
Substituting the values, we find
P(B | A) = 0.45 / 0.50 = 0.900.
A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.
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Maria has a pay rise. Her pay was £8 an hour. It is now £9.60 per hour. Calculate the percentage increase in Maria's pay. *Maria has a pay rise. Her pay was £8 an hour. It is now £9.60 per hour. Calculate the percentage increase in Maria's pay.
n+9 over 9. n equals what?
The value of N equals to -9.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
n+9/9=0
Now,
n+9/9=0
n+9=0
n=-9
Therefore, the answer of this algebra will be -9.
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john drives his car on two roads for a total of 6 hours. On one road, he can drive at 100 km/h and on the other, he drives at a speed of 80 km/h. If he drives a total distance of 530 km, how long does he drive on each road?
Show steps.
John travelled a first distance of 280 kilometers and a second distance of 250 kilometers.
How to find the times associated to each road
This question shows the case of John, who drove at constant speed his car on two roads. The travelled distance (s), in kilometers, is equal to the following formula:
s = v · t
Where:
v - Speed, in kilometers per hour. t - Time, in hours.Then, the total time (T), in hours, is found by means of the following expression:
T = t₁ + t₂
T = x₁ / v₁ + x₂ / v₂
Where:
x₁ - Distance traveled in the first road, in kilometers.x₂ - Distance traveled in the second road, in kilometers.v₁ - Speed taken in the first road, in kilometers per hour.v₂ - Speed taken in the second road, in kilometers per hour. T - Total time, in hours.If we know that v₁ = 100 km / h, v₂ = 80 km / h, x₂ = 530 km - x₁ and T = 6 h, then the first distance is:
(530 - x₁) / 100 + x₁ / 80 = 6
[80 · (530 - x₁) + 100 · x₁] / 8000 = 6
42400 - 80 · x₁ + 100 · x₁ = 48000
20 · x₁ = 5600
x₁ = 280 km
And the second distance is:
x₂ = 530 km - 280 km
x₂ = 250 km
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please help !
what is the probability of the complement of event A ?
Answer:
\(P(A < 84)=\frac{4}{7}\)
Step-by-step explanation:
\(Total\ numbers:\ 7\\Numbers\ less\ than\ 84:\ 4\\\\P(A < 84)=\frac{4}{7}\)
Find the rule and complete the table
Answer:
In-33
out-58
rule, subtract 4
Fill in the blanks in order to justify whether or not the mapping shown represents a function
find the value of a 3a+2b=8 and b=-2
Answer:
The value of a in the given equation is '4'
Step-by-step explanation:
The given equation is: 3a + 2b = 8 and b = -2
Plug the value of b into the formula:
3a + 2(-2) = 8
3a - 4 = 8
We want 3a by itself so we will add +4 to both sides:
3a - 4 + (4) = 8 + (4)
3a = 12
Divide both sides by 3 so a is by itself:
3a/3 = 12/3
1a = 4
a = 4
How do you tell Linear vs. Nonlinear
Answer:
linear equations produce straight lines when graphed, and their rate of change remains constant
Nonlinear equations do not produce straight lines when graphed.
To determine whether its linear or nonlinear, you can graph it and see if it produces a straight line, or check if it can be written in the form y= Mx+b
Step-by-step explanation:
1 1/2 ÷ 12=
please answer my question
Answer:
0.125
Step-by-step explanation:
Answer:
.125 bc I use a calendar
Step-by-step explanation:
that assignment
Find the 70th term of the arithmetic sequence 11,19,27
Answer:
should be 563
Step-by-step explanation:
11,19,27,35, 43, 51, 59, 67, 75, 83,
91, 99, 107, 115, 123, 131, 139, 147, 155, 163,
171, 179, 187, 195, 203, 211, 219, 227, 235, 243
(there is a notable difference of 80 on each row)
243+(80x4)=243+320=563
Answer:
563
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .
Formula;
L = a + (n - 1)*d
Givens
n = 70
a = 11
d = 8
Solution;
t = 11 + (70 - 1)*8
t = 11 + 69*8
t = 11+ 552
t = 563
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Solve for n.
9n − 7 = 3 + 8n − 2
n =
Answer:
\( \boxed{n = 8} \)
Step-by-step explanation:
\( = > 9n - 7 = 3 + 8n - 2 \\ \\ = > 9n - 7 = 8n + 3 - 2 \\ \\ = > 9n - 8n = 1 + 7 \\ \\ = > n = 8\)
Answer:
8
Step-by-step explanation:
9n - 7 = 3 + 8n - 2
Combine like factors.
9n - 7 = 8n + 1
Subtract 8n from both sides
n - 7 = 1
Add 7 to both sides.
n = 8
how easy is it for you to apply algebra concepts when determining angle measures of a polygon?
To determine the measures of the angles of a polygon are necessary the concepts of algebra by using the formula of the sum of interior angles and creating equations and obtaining the measures of unknown angle.
First, it is important to remember the formula for the sum of interior angles of a polygon, which is (n-2) x 180°, where n is the number of sides of the polygon.
Next, you can use algebra concepts to solve for the unknown angle measures. For example, if you know the sum of the interior angles and the measures of some of the angles, you can create an equation and solve for the unknown angle measures.
Here is an example:
If a quadrilateral has interior angles of 70°, 110°, and 120°, you can use the formula (4-2) x 180° = 360° to find the sum of the interior angles. Then, you can create the equation 70° + 110° + 120° + x = 360° and solve for x to find the measure of the unknown angle.
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The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded
Answer:
True , null
Step-by-step explanation:
Mostly the true hypothesis is the null hypothesis .
We test the true hypothesis , the null hypothesis against the claim provided which is named as alternate hypothesis.
When the false hypothesis is the null hypothesis , type II error is made.
Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.
So option 1 is correct
draw an unordered stem and leaf diagram
The stem and leaf for the data values is
0 | 3 8
1 | 2 2 4
2 | 0 1 3 6
3 | 4
How to draw a stem and leaf for the data valuesFrom the question, we have the following parameters that can be used in our computation:
Data values:
3 8 12 12 14 20 21 23 26 34
Sort in order of tens
So, we have
3 8
12 12 14
20 21 23 26
34
Next, we draw the stem and leaf as follows:
a | b
Where
a = stem and b = leave
number = ab
Using the above as a guide, we have the following:
0 | 3 8
1 | 2 2 4
2 | 0 1 3 6
3 | 4
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Help with trigonometry
Use pythagorean theorem to find the length of x
Answer:
x =√969
Step-by-step explanation:
AC²=AB²+BC². (Formula)
(35)²=(16)²+BC²
1225-256=BC²
969=BC²
BC=√969
Find the value of x in the triangle shown below
The answer is C, the square root of 65 (8.062).
pedro placed an order with an online nursery for 6 apple trees and 5 azaleas and the order came to $219. the next order for 3 apple tree and 4 azaleas came to $132. what was the unit cost for each apple tree and for each azalea?
The cost for each apple tree is; $24 and fit each azalea would be; $15.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let consider X = apples trees and Y= azaleas
Therefore, the system of equation is;
6x + 5y = 219
3x + 4y = 132
Solving;
-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15
Now substitute;
6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24
Thus, The cost for each apple tree is; $24 and fit each azalea would be; $15.
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Convert 2500 mg to kg.
Convert 2500mg to kg
step 1: convert 2500mg to g
\(\begin{gathered} 1000mg\text{ = 1g} \\ 2500mg=x\text{ g} \\ x=\frac{2500}{1000}=2.5g \end{gathered}\)step 2: Convert 2.5 g to kg
\(\begin{gathered} 1000g=1\operatorname{kg} \\ 2.5g=y\text{ kg} \\ y=\frac{2.5}{1000}=0.0025\operatorname{kg} \end{gathered}\)Therefore, 2500mg is equivalent to 0.0025kg
what can the intersection of a regular octagon and line segment be?
Answer:
See below
Step-by-step explanation:
Intersection of a regular octagon and a line segment can result in:
Triangle (ABC as example)Quadrilateral (ABCD as example)Pentagon (ABCDE as example)Hexagon (ABCDEF as example)Heptagon (ABCDEFG as example)Refer to attached
a. Translate the following statements to their corresponding SYMBOLIC expressions. Be sure to use statement indicators and connective indicators in your translation to produce conditional statements. A TRANSLATION KEY MUST BE PROVIDED FOR EACH EXERCISE (see above for an example).
1) If it is raining, then Jack will not go to the baseball game.
2) I eat, if I'm hungry.
3) Jack watches football on T.V. only if the Ohio State team is playing.
4) Janet plays with weird pets unless it is a tarantula.
5) When I watch a baseball game, I eat several hot dogs.
b. For these five statements above, identify the antecedent and the consequent for each conditional.
If it rains, Jack will not attend the baseball game.
P: It is raining.
Q: Jack will not be attending the baseball game.
P is the antecedent, and Q is the consequent.
(If P is true, then Q is true.)
If it rains, Jack will not be able to attend the baseball game.
What is symbolic expression?Symbolic expression (plural figurative expressions) (computing) A method of representing semi-structured data in human-readable text form that is mostly made up of symbols and lists and is widely used in the Lisp programming language.
Symbolic speech consists of nonverbal, nonwritten forms of communication such as flag burning, arm band wearing, and draught card burning.
A literary symbol is an object, a person, a situation, or an action in a story that has a literal meaning but implies or represents other meanings.
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the temperature is dropping -3.75 degrees per hour. how many hours will the temperature drop for 4.5 hours
Answer:
It will drop 16.875 degrees
Step-by-step explanation:
3.75 × 4 = 15
.5 × 3.75 1.875
Answer:
-16.875
Step-by-step explanation:
This equation is quite simple and will only require one equation to solve. This is the equation,
-3.75×4.5=-16.875
The final answer is -16.875