Answer:
x=22.
Step-by-step explanation:
Answer: x = 22
Step-by-step explanation:
14,040 - 50x = 12,500 + 20x
Subtract 12,500 from both sides giving you 1,540 - 50x = 20x
Then add 50x to both sides giving you 1,540 = 70x
Divide both sides by 70 and you have your answer, x = 22
You measure the distance between two buildings on campus using a map which has a ratio scale of 1:24,000 as three inches in map units. What is the distance between these two buildings in feet
Based on the given ratio scale, the distance between these two buildings in feet is 72,000 feet.
Given that the distance between two buildings on campus using a map which has a ratio scale of 1:24,000 as three inches in map units. We have to find the distance between these two buildings in feet.
Conversion formula: 1 inch = 12 feet
Therefore, 3 inches = 3 × 12 = 36 feet.
Now we can find the distance between these two buildings by using the scale factor of the map.The scale factor is the ratio of the real distance to the measured distance. Since we have the ratio scale of the map, we can use it to find the scale factor.
Ratio Scale = 1:24,000
This means that 1 unit on the map is equivalent to 24,000 units in real life. Let x be the distance between the two buildings in real life.
Distance on map / Actual Distance = Ratio Scale
3 inches / x = 1 / 24000
We know that the distance on the map is equal to 3 inches, so we can substitute that value into the equation and solve for x.
3 inches / x = 1 / 24000
Simplifying, we get:
x = 24000 * 3
x = 72,000 feet
Therefore, the distance between these two buildings in feet is 72,000 feet.
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If 3/4 quarts of lemonade concentrate is mixed with 6 2/3 quarts of water, how many quarts of lemonade concentrate is needed to make lemonade for 24 people?
By fractions, 9/20 quarts of lemonade concentrate is needed to make lemonade for 24 people.
What are the names of fractions?What are the names of fractions numerical expression in mathematics known as a quotient, where a numerator and a denominator are split in half. Both are integers in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator of a proper fraction is less than the denominator.
Let x= the number of quarts of lemonade concentrate needed for 24 people. In this question " 20/3 quarts of water" was unnecessary information.
40x=24*(3/4)
Cross products
x=24⋅ (3/4) ⋅ (1/40)= 9/20
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Which expressions are equivalent to -56z+28−56z+28minus, 56, z, plus, 28?
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i just got the biggest brain ever
suppose babies born in a large hospital have a mean weight of 4022 grams, and a standard deviation of 266 grams. if 53 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 4068 grams? round your answer to four decimal places.
The probability that the mean weight of the sample babies would be less than 4068 grams is 0.8666.
We have mean weight as 4022grams,and standard deviation as 266 grams.
We need to check mean weight of the sample will be less than 4068 grams.
It means that on left side mean range is=4022-4068=-46,and
right side mean range =4022+4068=8090
So, we need to find the probability if mean range varies in between from -46 to 8090.
So, we use z-score table to find the z-score for -46 and 8090,we get
We use Z-formula which is given by
Z = (X-μ)/SE
where X is the standard mean.
Using the Z-score table, we get
Z = 0.16917 and -0.161917
Using z-score table, we get that P(0.16917)=0.4333.
Since, both of the probability occupies same space area, due to that total probability =0.4333×2=0.8666
Hence, the probability will be 0.8666.
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What is the greatest common factor 3x^4, 15x^3 ,21x^2
Answer: 3x^2
Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.
Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?
Answer: No the banner is not square.
Step-by-step explanation:
If it were square, the diagonal would be about 35.36 inches.
Pythagorean Theorem: a² + b² + = c²
?25² + 25² = 48² ?
625 + 625 ?=? 2304
1250 ≠ 2304
√1250 ≈ 35.3553
Answer:
The second option
Step-by-step explanation:
Source: trust me bro
Find the mean, the variance, the first three autocorrelation functions (ACF) and the first 3 partial autocorrelation functions (PACF) for the following AR (1) process with drift X=α+βX t−1 +ε t
Given an AR(1) process with drift X = α + βX_{t-1} + ε_t, where α = 2, β = 0.7, and ε_t ~ N(0, 1).To find the mean of the process, we note that the AR(1) process has a mean of μ = α / (1 - β).
So, the mean is 6.67, the variance is 5.41, the first three ACF are 0.68, 0.326, and 0.161, and the first three PACF are 0.7, -0.131, and 0.003.
So, substituting α = 2 and β = 0.7,
we have:μ = α / (1 - β)
= 2 / (1 - 0.7)
= 6.67
To find the variance, we note that the AR(1) process has a variance of σ^2 = (1 / (1 - β^2)).
So, substituting β = 0.7,
we have:σ^2 = (1 / (1 - β^2))
= (1 / (1 - 0.7^2))
= 5.41
To find the first three autocorrelation functions (ACF) and the first 3 partial autocorrelation functions (PACF), we can use the formulas:ρ(k) = β^kρ(1)and
ϕ(k) = β^k for k ≥ 1 and
ρ(0) = 1andϕ(0) = 1
To find the first three ACF, we can substitute k = 1, k = 2, and k = 3 into the formula:
ρ(k) = β^kρ(1) and use the fact that
ρ(1) = β / (1 - β^2).
So, we have:ρ(1) = β / (1 - β^2)
= 0.68ρ(2) = β^2ρ(1)
= (0.7)^2(0.68) = 0.326ρ(3)
= β^3ρ(1) = (0.7)^3(0.68)
= 0.161
To find the first three PACF, we can use the Durbin-Levinson algorithm: ϕ(1) = β = 0.7
ϕ(2) = (ρ(2) - ϕ(1)ρ(1)) / (1 - ϕ(1)^2)
= (0.326 - 0.7(0.68)) / (1 - 0.7^2) = -0.131
ϕ(3) = (ρ(3) - ϕ(1)ρ(2) - ϕ(2)ρ(1)) / (1 - ϕ(1)^2 - ϕ(2)^2)
= (0.161 - 0.7(0.326) - (-0.131)(0.68)) / (1 - 0.7^2 - (-0.131)^2) = 0.003
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If You Are Measuring The Electrical Potential Difference From A Rectangular \( 9 \Mathrm{~V} \) Battery, Which Setting Should You
A battery is a nice illustration. Atoms have had their electrons chemically removed in batteries. Because the positive ions and electrons are stored at the opposing ends of the battery, there is a potential difference between the two ends.
What is Rectangular?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can alternatively be explained in terms of an equiangular quadrilateral a term that refers to a quadrilateral whose angles are all equal or a parallelogram with a right angle. A square is an irregular shape with four equal sides. A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.To learn more about Rectangular, refer to:
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The rectangular room shown 20 feet long, 48 feet wide, and 10 feet tall. Use the Pythagorean Theorem to find the distance from A to C and the distance from A to B. Round to the nearest tenth, if necessary.
(Only really need A to B though)
The selling price of an item is $360. After 6 months of not selling, it is marked down by 10%. After another 6 months of not selling, it is further marked down by 20%. Find the sale price after both markdowns.
Answer:
1st markdown = $324
2nd markdown = $259.20
Step-by-step explanation:
current price = 360
1st 6 months = 10% down
= 90% of 360
= 324
2nd 6 month = 20% down of first 6 month
= 20% down of 324
= 80% of 324
= 259.20
Which of the following is equivalent to:
−−(2+5)−(3−7)?
Answer:
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
Step-by-step explanation:
please help!! ill give brainlist!
Answer: 206
Step-by-step explanation:
Count the least number of additions, multiplications and divisions required to solve an LPP using the two phase method. You may assume the matrix A to have size m×n with m
The number of additions, multiplications, and divisions required to solve an LPP using the two-phase method depends on the specific problem and algorithmic steps, making it difficult to provide a precise count.
We have,
The two-phase method is a technique used to solve linear programming problems (LPP) that involve artificial variables to handle constraints.
It involves two phases:
Phase 1, which finds an initial feasible solution, and Phase 2, which improves the solution to optimize the objective function.
In terms of counting the number of additions, multiplications, and divisions required in the two-phase method, it depends on the specific LPP and the operations performed during the algorithm.
The number of operations can vary depending on the size of the problem (the dimensions of the matrix A and the number of variables) and the specific constraints and objective function.
In general, the two-phase method involves performing matrix operations, such as matrix multiplication, addition, and inversion, as well as solving systems of linear equations and performing arithmetic operations.
The number of operations required will depend on the specific algorithmic steps and the operations involved in each iteration.
Thus,
The number of additions, multiplications, and divisions required to solve an LPP using the two-phase method depends on the specific problem and algorithmic steps, making it difficult to provide a precise count.
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Triangle DEF is a right triangle. What is the measure of ZEFD?
D
57°
F
E
Answer:
33°Step-by-step explanation:
Sum of measures of angles in any triangle is 180°
The maesure of right angle is 90°
So: m∠EFD = 180° - 90° - 57° = 33°
Using the same graph that was used for the previous questions, create your own combined transformation that would move Triangle 1 to Triangle 2. This time, however, you must use at least one reflection in your combined transformation.
Step-by-step explanation:
reflect it up over the horizontal line y = 7.5
it now covers completely the C triangle.
and then move (translate) it 2 units to the right.
grog writes every possible arrangement of the digits 2,4,6 with a decimal point between two digits Find the sum of every number less than 4.4 than grogg writes
First, let's list all the possible arrangements of the digits 2, 4, and 6 with a decimal point between two digits: - 2.4.6
- 2.6.4
- 4.2.6
- 4.6.2
- 6.2.4
- 6.4.2
Now, we need to find the sum of every number less than 4.4 than grogg writes. This means we need to add up all the numbers that are less than 4.4 and are also less than each of the six numbers on our list.
Let's start with the first number on our list, 2.4.6. The numbers that are less than 4.4 and less than 2.4.6 are:
- 2.4
- 2.6
So we add those two numbers together: 2.4 + 2.6 = 5, That's the sum for the first number on our list. Now we can repeat this process for each of the other five numbers on our list, and add up all the sums at the end. For 2.6.4, the numbers less than 4.4 and less than 2.6.4 are: - 2.6 .
So the sum for 2.6.4 is: 2.6, For 4.2.6, the numbers less than 4.4 and less than 4.2.6 are:
- 4.2
- 4.6, So the sum for 4.2.6 is: 4.2 + 4.6 = 8.8, For 4.6.2, the numbers less than 4.4 and less than 4.6.2 are:
- 4.2
- 4.6
So the sum for 4.6.2 is:
4.2 + 4.6 = 8.8
For 6.2.4, the numbers less than 4.4 and less than 6.2.4 are:
- None
There are no numbers less than 4.4 and less than 6.2.4, so the sum for 6.2.4 is 0.
Finally, for 6.4.2, the numbers less than 4.4 and less than 6.4.2 are:
- None
Again, there are no numbers less than 4.4 and less than 6.4.2, so the sum for 6.4.2 is 0.
Now we can add up all the sums: 5 + 2.6 + 8.8 + 8.8 + 0 + 0 = 25.2
So the sum of every number less than 4.4 than grogg writes is 25.2.
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How would you graph y=2x +5?
Answer:
STEP 1. Locate the y-intercept on the graph
- Locate 5 on the y-axis
STEP 2. Use [Rise/Run] method to graph the slope
- Since the slope is 2, [Rise/Run] will be [2/1] which means 2 unit vertically (y), 1 unit horizontally (x)
----------------------
and boom!! That's all!!
----------------------
EXTRA, this is the graph for y=2x+5
Hope this helps!! :)
Please let me know if you have any question
Find matrix M such that M × [3 -2 , 6 -8 ] = [-2 16]
The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]
Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16]. We know that the product of two matrices is equal to the sum of the products of their corresponding elements. We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.
a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...
(4)Simplifying equations (1) to (4), we get:
3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)
Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.
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a certain congressional committee consists of 13 senators and 9 representatives. how many ways can a subcommittee of 5 be formed if at least 2 of the members must be representatives?
Answer:
Step-by-step explanation:
what is the difference in the measure of angle
Answer:
26º
Step-by-step explanation:
WXV = 180 - 149 = 31º since angles on a straight line add to 180º.
WVX = 57º since the angle of V would be 123 and angles on a straight line would equal 180 so 180-123 = 57º.
Therefore the difference between the 2 angles would be 57-31 = 26º
Answer:
Step-by-step explanation:
a. v + 57 = 180
v = 123
b. X is 149 because it is a vertical angle
Decorative pots for flowers in the shape of a regular four-sided prism with external dimensions a = 18 cm. h = 16 cm are made of concrete. The thickness of the walls is 3 cm. How many m³ of concrete is needed to make 80 of such pots, if 5% more concrete should be counted due to waste?
The amount of concrete required to make 80 pots is 0.24192 cubic meters after adding 5% of the required concrete.
Given that:External dimensions of the prism, a = 18 cmHeight of the prism, h = 16 cm Thickness of the walls, t = 3 cmNumber of pots, n = 80Wastage is 5% of the required concreteLet the side of the inner square be 'a1'. Then,a = a1 + 2t⇒ a1 = a - 2t = 18 - 2×3 = 12 cmVolume of the pot = volume of the outer prism - volume of the inner prismVolume of the outer prismVolume of the outer prism = a²hVolume of the outer prism = 18²×16 = 5184 cm³Volume of the inner prismVolume of the inner prism = a1²hVolume of the inner prism = 12²×16 = 2304 cm³Volume of the potVolume of the pot = 5184 - 2304 = 2880 cm³In m³, Volume of the pot = 2880/1000000 m³Volume of 80 such potsVolume of 80 pots = 80 × 2880/1000000 m³= 0.2304 m³Concrete required for the potsConcrete required = volume of 80 pots × (100 + 5)/100Concrete required = 0.2304 × 105/100 m³Concrete required = 0.24192 m³
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fourteen patients have the following lengths of stay: 2, 3, 4, 1, 4, 16, 4, 2, 1, 5, 4, 3, 6, and 1. compute the median.
To compute the median of these fourteen patients' lengths of stay, we need to arrange them in ascending order first: 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 6, 16. Then, we can find the middle value, which is 4, since there are an even number of values. Therefore, the median length of stay for these fourteen patients is 4.
The median is a measure of central tendency that represents the middle value of a dataset. In this case, we have fourteen patients' lengths of stay, which we need to arrange in ascending order before finding the middle value. Once we have arranged them, we can easily find the median, which is 4. This means that half of the patients stayed for less than 4 days, and half stayed for more than 4 days. The median is a useful measure when the dataset has outliers or extreme values that could affect the mean. In this case, we have one patient who stayed for 16 days, which is much longer than the other patients' lengths of stay. The median is not affected by this extreme value, making it a robust measure of central tendency.
In conclusion, the median length of stay for these fourteen patients is 4. By arranging the lengths of stay in ascending order and finding the middle value, we can determine the central tendency of this dataset. The median is a useful measure when dealing with datasets that have outliers or extreme values, as it is not affected by them. In this case, we have one patient who stayed for much longer than the others, but the median is still a reliable measure of the typical length of stay for these fourteen patients.
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what is 44237 divdied by 31 asap
Answer:
1427
Step-by-step explanation:
The number of students in attendance since 2000 at Lamar Community College can be represented by the equation below, where x equals the time in years after 2000. S(x) = (x - 50)² + 19 The college creates a graph to better view the decreases and increases in attendance. Which of the following describes the end behavior of their graph? O A. As x approaches positive infinity, S(x) remains constant. OB. As x approaches positive infinity, S(x) approaches positive infinity. OC. As x approaches positive infinity, S(x) approaches zero. OD. As x approaches positive infinity, S(x) approaches negative infinity.
As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.
What is a graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19
The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x = infinity, as shown in the graph.
Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .
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Analyze the proportion below and complete the instructions that follow.
2x+5 x-5
3
4
Solve the proportion for x
A. -7
B. -4
C-2
D. -1
Answer:
A
Step-by-step explanation:
You may need to use the appropriate appendix table or technology to answer this question.
A population has a mean of 800 and a standard deviation of 200. Suppose a sample of size 400 is selected and
x
is used to estimate μ. (Round your answers to four decimal places.)
(a)____
What is the probability that the sample mean will be within ±5 of the population mean?
(b)___
What is the probability that the sample mean will be within ±10 of the population mean?
a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.
The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
= 200 / √400
= 200 / 20
= 10
To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:
For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.
For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.
We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.
(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).
The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).
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What is the value of the sum $\dfrac {1}{1\cdot 3} \dfrac {1}{3\cdot 5} \dfrac {1}{5\cdot 7} \dfrac {1}{7\cdot 9} \cdots \dfrac {1}{199\cdot 201}$? express your answer as a fraction in simplest form.
The sum is 3/4 in simplest form.
This is an infinite geometric series with the first term of 1/1.3 and a common ratio of -2.2/3.
The sum of an infinite geometric series can be discovered utilising the formula:
S = a / (1 - r)
Where a is first term, and r is common ratio.
Plugging in the values, we have:
S = 1/1.3 / (1 - (-2.2/3)) = 1/1.3 / (1 + 2.2/3) = 1/1.3 / (5.2/3) = 3 / (5.2 * 1.3) = 3 / (6.76) = 3 / (4 * 1.69) = 3 / 6.76 = 3 * 1.69 / 6.76 = 3/4.
So the sum is 3/4 in simplest form.
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--The given question is incomplete; the complete question is
"Find the sum of 1/1.3 + 1/3.5 + 1/5.7 +...... express your answer as a fraction in simplest form."--
gelo bought a wallet which costs php250at 12% discount and a belt which costs php230 at 25% discount.how much did he pay in all?
a.php87.50
b.php392.50
c.php3925
d. php8750
Option B : Gelo bought a wallet for PHP 250 with a 12% discount and a belt for PHP 230 with a 25% discount. Gelo paid a total of PHP 392.50 for both items.
First, we need to calculate the amount of the discount for the wallet and the belt. The discount for the wallet is 250 * 12/100 = 30. The discount for the belt is 230 * 25/100 = 57.5.
Next, we subtract the discount from the original price to find the amount paid for each item. The amount paid for the wallet is 250 - 30 = 220. The amount paid for the belt is 230 - 57.5 = 172.5.
Finally, we add up the amount paid for both items to find the total amount paid: 220 + 172.5 = 392.5.
Therefore, Gelo paid a total of 392.5, so the correct answer is (b) PHP 392.50.
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Option B : Gelo bought a wallet for PHP 250 with a 12% discount and a belt for PHP 230 with a 25% discount. Gelo paid a total of PHP 392.50 for both items.
First, we need to calculate the amount of the discount for the wallet and the belt. The discount for the wallet is 250 * 12/100 = 30. The discount for the belt is 230 * 25/100 = 57.5.
Next, we subtract the discount from the original price to find the amount paid for each item. The amount paid for the wallet is 250 - 30 = 220. The amount paid for the belt is 230 - 57.5 = 172.5.
Finally, we add up the amount paid for both items to find the total amount paid: 220 + 172.5 = 392.5.
Therefore, Gelo paid a total of 392.5, so the correct answer is (b) PHP 392.50.
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identify the irrational numbersselect all that apply1. 0.7292. 0.01953473. -124. \( \sqrt[]{18} \)
The options are analyzed as follows:
1: The overline 0.729 means:
\(0.729729729\ldots\)This is a non- terminating recurring decimal hence it is rational.
2: The nuumber 0.0195347... is a non terminating and non recurring decimal hence it is irrational.
3. The number -12 is rational since it is an integer.
4.The number 4.565656... is a non terminating recurring decimal hence it is rational.
5. The number given by:
\(\sqrt[]{18}=3\sqrt[]{2}=4.242640687\ldots\)Since square root of 2 is irrational and 3 is rational the product is irrational.
Also the decimal is non terminating non recurring hence it is irratonal.
So the options 2 and 5 are irrational.
whts 1/4+1/2
will give 30 points and brainlest
Answer:
0.75 is the answer!
Step-by-step explanation:
1/4+1/2=0.75