The final step is x < 3
What is an inequality?
In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
Less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠) are the five inequality symbols.
Given inequality is
-2(5 - 4x) < 6x - 4
The inequality sign is less than.
Applying distributive property on the left side
-10 + 8x < 6x -4
Subtract 6x from both sides
-10 + 8x - 6x < 6x -6x - 4
-10 + 2x < - 4
Add 10 on both sides:
-10 + 2x + 10 < - 4 + 10
2x < 6
Divide both sides by 2:
2x/3 < 6/3
x < 3
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Robert has two packs of stickers.
In pack A, there are 6 white stickers and 4
purple stickers.
In pack B, there are 9 white stickers and 3
purple stickers.
Robert is going to take one sticker at
random from each pack.
What is the probability that he takes one
white and one purple sticker?
Give your answer as a fraction in its
simplest form.
The probability that Robert takes one white and one purple sticker is 3/40.
We have,
To calculate the probability of Robert taking one white and one purple sticker, we can use the multiplication rule of probability.
The probability of taking a white sticker from pack A = 6/10.
The probability of taking a purple sticker from pack B = 3/12.
Since the two events are independent, we can multiply these probabilities to get:
P(white from A and purple from B) = (6/10) x (3/12) = 9/120
Simplifying this fraction gives:
P(white and purple) = 3/40
Therefore,
The probability that Robert takes one white and one purple sticker is 3/40.
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when sunayana purcased a video-game she paid Rs 162.50 as VAT at the rate of 13%. find its cost without levying VAT. Rs 1250 is answer please how to take out this answer
Answer: 1250
Step-by-step explanation:
Let x be the cost before vat
13/100x = 162.50
x = 162.50 x 100/13
x = 162.50 / 2.13
x = 1250
What is the sum of the solutions of the equations below? ||-8+|-|3-9||
Answer:
2.
Step-by-step explanation:
|-8| is the same as 8 and |3-9|= 6. 8-6=2
A trail map has a scale of 3 inches to 2 miles. On the map, a trail is
5 1/4 inches long.
How long is the actual trail?
A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles
Answer:
it is not c. that is what I know
Step-by-step explanation:
The length of the actual trail will be 3 and 1/2 miles. The correct option is C.
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a trail map has a scale of 3 inches to 2 miles. The length of the actual trail will be calculated as:-
3 inches = 2 miles
1 inch = 2 / 3 miles
5¹/₂ inches = 5¹/₂ x ( 2 / 3 )miles
5¹/₂ inches = 5.2 x ( 2 / 3 )
5¹/₂ inches = 3.5 miles = ( 2¹/₂) miles
Therefore, the length of the actual trail will be 3 and 1/2 miles. The correct option is C.
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Provide the answer to question number 5
The function value that us greater is with estimated value of 96
How to find the estimated value?The estimated value is the value read from the graph which gives the accumulated value for each of the line
The first line gives an estimated value of
10+14+18+19+28 = 89
The second graph gives gives an estimated value of
17+18+19+20+22 = 96
Therefore comparing the two graphs, the one with 96 has the greater value
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A package of 5 pairs of insulated gloves costs $25.95. What is the unit price of the pairs of gloves
The unit price of the pair of gloves is $5.19.
Here, a package of 5 pairs of insulated gloves costs $25.95.
We have to find the unit price of the pairs of gloves.
5 pairs of insulted gloves = $25.95
So we have to find the value of 1 pair of gloves, so by dividing the value by 5 we will get the value of 1 pair of gloves.
Unitary method:
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit.
So by using the unitary method we have:
1 pair of insulated gloves = 25.95/ 5
= 5.19
Therefore the unit price of the pair of gloves = is $5.19.
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please help 5 POINTS THIS TIME SORRY MIGHT BE DOING A GIVE AWAY GIVING BRAINLIEST
Volume of 1st box:
\(3 \times 5 \times 8 = 120ft ^{3} \)
Volume of 2nd box:
\(3 \times 5 \times 4 = 60ft ^{3} \)
Combined volume:
\(120 + 60 = 180ft ^{3} \)
Find the y-intercept of the line on the graph. Help pls!
Answer:
Y-intercept is 4
Step-by-step explanation:
due to X and Y lines it would be 4 lol
Have a good day
Answer:
It is 4
Step-by-step explanation:
The line intercepts the y axis at 4
Mark me as brainliest
Write the expression 2 3/5 as a radical
Answer:
\(\sqrt{6.76}\)
Step-by-step explanation:
you just have to square the number given and put it under a square root sign
which of the following is not enough information to solve a right triangle?
a. Two sides
b. One side length ang one trigonometric ratio
c. Two angels
d. One side length and one acute angle measure
Two angles is not enough information to solve a right triangle.Each right triangle is unique and distinct.
A right triangle is any triangle with a right angle, which is an angle that measures exactly 90 degrees or π / 2 radians.
Right triangles are essential in mathematics, engineering, and science, and they are commonly used to resolve problems involving distances, heights, and angles.
Therefore, option c) Two angels is not enough information to solve a right triangle.
It is because to solve a right triangle, we need to have the measure of one acute angle or two sides of the triangle or one side and a trigonometric ratio, but not two angles.
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Zhang is designing protective packaging. He tests his design by dropping a raw egg protected by his packaging from various heights. He finds that the egg is protected up to a height of 11 meters. Zhang needs to convert the height from meters to yards for his report.
Answer:12.03 yards
Step-by-step explanation:
Answer:12.03 yards
i got yal lol
Solve for x: 6x−8=8x−6
Last one lol. Could I have an explanation so I can understand and ty!
Answer:
(x,y)→(x+7,y)
Step-by-step explanation:
Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.
Im reallyyyy bad at explanations but hope this helped:)
assume that the heights of adult caucasian women have a mean of 63.6 inches and a standard deviation of 2.5 inches. if 40 women are randomly selected, find the probability that they have a mean height greater than 64.0 inches
The probability that a random sample of 40 adult caucasian women have a mean height greater than 64.0 inches is approximately 0.1569 or 15.69% (rounded to four decimal places).
We can use the central limit theorem to approximate the distribution of the sample mean as normal, with mean μ = 63.6 inches and standard deviation σ/√n = 2.5 inches/√40 = 0.3953 inches.
Thus, we need to find the probability that a normally distributed random variable with mean μ = 63.6 inches and standard deviation σ/√n = 0.3953 inches is greater than 64.0 inches.
Using the z-score formula, we can standardize the value of 64.0 inches to get:
z = (64.0 - 63.6) / 0.3953 = 1.011
From the standard normal distribution table, the probability of a z-score greater than 1.011 is 0.1569.
The central limit theorem is a statistical concept that describes the behavior of the means of a large number of independent random variables. It states that when the sample size is large enough, the distribution of the means will be approximately normal, even if the underlying variables are not normally distributed.
Specifically, the theorem states that as the sample size increases, the mean of the sample means approaches the population mean and the standard deviation of the sample means are close to the population standard deviation when the sample size is squared. This theorem is important because it allows us to make statistical inferences about a population based on a sample. For example, we can use it to estimate the mean and variance of a population, or to calculate confidence intervals and hypothesis tests.
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Complete Question:-
Assume that the heights of adult caucasian women have a mean of 63.6 inches and a standard deviation of 2.5 inches. if 40 women are randomly selected, find the probability that they have a mean height greater than 64.0 inches. round to four decimal places.
cade wants to learn more about chipmunks which of the following statistical question cade could ask
Answer:
B is the best choice
Step-by-step explanation:
A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.
With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.
Answer:
B 100% I just took the test
Dr.Osborne has scheduled Anita Blanchette for a spirometry test and wants you to telephone her the day before the test to prepare her so that optimal results are obtained.
1.) What information do you give Anita before her spirometry so that the best test results can be obtained?
2.) How would you explain the rationale for the performance of this procedure?
To ensure the best test results, Anita should be provided with the following information before her spirometry:
1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.
2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.
3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.
4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.
The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.
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In the context of group diversity, the _____ is data driven, supplies necessary information, and adheres to high performance standards.
In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".
They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.
They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.
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34.2 million Americans, or 10.5% of the population, had diabetes in the year 2018. What is the probability that a randomly chosen person has diabete
The probability that a randomly chosen person has diabetes is approximately 10.45%.
The probability that a randomly chosen person has diabetes can be calculated by dividing the number of people with diabetes by the total population. Using the given data, we have:
Total population = 100%Probability of having diabetes = 10.5%Number of people with diabetes = 34.2 million
To find the probability of a randomly chosen person having diabetes, we divide the number of people with diabetes by the total population as follows:
Probability of having diabetes = (Number of people with diabetes / Total population) x 100%
= (34.2 million / 327 million) x 100%
= 0.1045 or 10.45%
Therefore, the probability that a randomly chosen person has diabetes is approximately 10.45%.
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What is the answer of 2x^2 4x 6 0?
The answer of the equation "2x^2 - 4x - 6 = 0" is -1 and 3.
The equation is solved using factorization:
2x^2 - 4x - 6 = 0 , given equation
2x^2 - 6x + 2x - 6 = 0 , factorizing
2x(x - 3) + 2 ( x - 3 ) = 0 , taking 2x common from the first two terms and 2 common from the last two terms
(2x + 2) (x - 3) = 0
now solving further
( 2x + 2 ) = 0 & ( x - 3 ) =0
2x = (0 - 2) , x = (0 + 3)
2x = (-2) , x = 3
x = (-2/2)
x = -1
Thus, the equation gives the solution as x = -1 and x = 3.
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What is the expression for f(x) when we rewrite 36^x•6^(x-2) as 6^f(x)?
Answer: 3x-2
Using the given information, the expression for f(x) is 3x - 2
Writing an expressionFrom the question, we are to determine the the value of f(x)
The given expression is
36^x•6^(x-2)
That is
\(36^{x} \times 6^{x-2}\)
This can be expressed as
\(6^{2x} \times 6^{x-2}\)
Applying one of the laws of indices, we get
\(6^{2x+x-2}\)
= \(6^{3x-2}\)
Since the expression was rewritten as
\(6^{f(x)}\)
By comparison,
f(x) = 3x - 2
Hence, the expression for f(x) is 3x - 2
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When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also given. Suppose a test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade. Interpret these results. O A. This student performed better than 32% of the other test-takers in the verbal part and better than 73% in the quantitative part. OB. This student performed better than 32% of the other test-takers in the verbal part and better than 27% in the quantitative part. O C. This student performed better than 68% of the other test-takers in the verbal part and better than 73% in the quantitative part. OD. This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
Given,
Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .
Now,
68% percentile : 68% scores equal or less .
27% percentile : 27^ scored equal or less .
Thus option D
This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .
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how line did you wait in line? is a statistical question
Answer:
yes
Step-by-step explanation:
hopes this helped;0
I need to find the surface area. it's a cut sphere with a diameter of 14.
Given data:
The diameter of the cut sphere, D=14 in.
The radius of the cut sphere is,
\(\begin{gathered} r=\frac{D}{2} \\ r=\frac{14}{2} \\ r=7\text{ in} \end{gathered}\)The cut sphere is called a hemisphere.
The surface area of a sphere is
\(A_1=4\pi r^2\)So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,
\(\begin{gathered} A_2=\frac{4\pi r^2}{2} \\ A_2=2\pi r^2 \end{gathered}\)The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,
\(A_3=\pi r^2\)Therefore, the total area of the hemisphere is,
\(\begin{gathered} A=A_2+A_3 \\ A=2\text{ }\pi r^2+\pi r^2 \\ A=3\text{ }\pi r^2 \end{gathered}\)The total surface area of a hemisphere is,
\(\begin{gathered} A_{}=3\text{ }\pi r^2 \\ A=3\text{ }\pi\times7^2 \\ A=461.8in^2 \end{gathered}\)Therefore, the total surface area of the cut sphere is 461.8 square inches.
There are 3 points on a line A, B and C.
If B is between A and C what is the length of BC.
AB= x²-6x
BC= x²+20x
AC= 60-12x
Given :
B is between A and C
AB= x²-6x
BC= x²+20x
AC= 60-12x
B divide into 2 equal parts
AB and AC are equal
AC = AB +BC
60-12x = x²-6x + x²+20x
\(60= 2x^{2} -6x +20x +12x\)
\(60 = 2x^{2} -6x +32x\\\)
\(60= 2x^{2} +26x\)
\(30 = x^{2} +13x\\\\\)
\(x^{2} +13x -30 = 0\\x^{2} +15x-2x-30 =0\)
\(x(x+15) -2 (x+15) =0\)
\((x-2) (x+15) =0\\\)
x=2 , x=-15
x never be negative the x is 2
BC = x²+20x
BC = 2*2 +20*2
BC = 4 +40
BC = 44
length of BC =44
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the nth term of a sequence is 3n2/2
Question:
The nth term of a sequence is \(\frac{3n^2}{2}\) . Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given
\(nth\ term = \frac{3n^2}{2}\)
Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives
\(5th\ term = \frac{3 * 5^2}{2}\)
\(5th\ term = \frac{3 * 5 * 5}{2}\)
\(5th\ term = \frac{75}{2}\)
\(5th\ term = 37.5\)
Hence, the 5th term of the sequence is 37.5
2/3x+8<10 please help im so bad at math
Answer:
x < 3
Step-by-step explanation:
2/3 x + 8 < 10
2/3 x < 10 - 8
2/3 x < 2
x < 2*3/2
x < 3
write the general expression of the continuity equation and its particular expression if fluid incompressibility is assumed.
The continuity equation is a fundamental principle in fluid dynamics that expresses the conservation of mass for a fluid. It states that the rate of change of mass in a fluid is equal to the net flow of mass into or out of a given volume. Mathematically, the general expression of the continuity equation is:
∂ρ/∂t + ∇ · (ρv) = 0
where ρ is the fluid density, t is time, v is the fluid velocity, and ∇ · is the divergence operator.
If the fluid is assumed to be incompressible, which means that the density remains constant throughout the flow, the continuity equation simplifies to:
∇ · v = 0
This equation states that the divergence of the velocity field is zero, which implies that the volume flow rate is conserved along any path in the fluid. In other words, if the fluid is incompressible, the rate at which fluid flows into a given volume must be equal to the rate at which it flows out of that volume. The continuity equation is a powerful tool in fluid mechanics that helps to describe the behavior of fluids in a wide range of applications, from weather forecasting to the design of aircraft and ships.
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3a×(a-b)-2a×(a+b)
Me ajudem por favor.
Answer:
a^2 - 5ab
Step-by-step explanation:
[3a * (a-b)] - [2a * (a+b)]
[3a(a) - 3a(b)] - [2a(a) + 2a(b)]
3a^2 - 3ab - (2a^2) - (2ab)
3a^2 - 2a^2 - 3ab - 2ab
a^2 - 5ab
A small box can hold 5 chocolates and a big box can hold 12 chocolates. A factory produces 600 chocolates and packs them into boxes.
A. Write and equation to describe the situation.
B. If the factory owner uses 40 big boxes, how many small boxes does he use?
Answer:
Answer to B - 20
480 + 96 = 600
Step-by-step explanation:
12 x 40 = 480
5 x 4 = 20
are these triangles similar? (worth 25 points)
Find angleK:
Angle k = 180-45-85 = 50
Both triangles have an angle equal to 85 and 45, which makes the 3rd angle in both triangles equal to 50
Because all three angles are the same the triangles are similar.