Answer:
P = 165/360 = 11/24 = about .46
= about 45.83%
Pleaseeee help I’ll give brainliest!!! What is the measurement of each angle
3.2 Provide an example to explain the difference between conceptual knowledge and procedural knowledge. (4)
Understanding the underlying ideas or concepts that govern a certain subject is known as conceptual knowledge.
It is understanding of the "big picture" and how various facts relate to one another. Contrarily, procedural knowledge describes the capacity to implement a series of processes or actions in order to accomplish a particular objective or address a challenge. It is the ability to "do" something.
For instance, making a cake takes both procedural knowledge—such as knowing how each ingredient fits into the recipe—and conceptual knowledge—such as knowing how to combine the ingredients in the right order and gauge the cake's doneness.
Both kinds of knowledge are necessary for success in any task or field.
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PLEASEEEEEEEEEEEEEEEE
HELPPPPPPPPPPPPP ITS A BIG GRADEEEE
Alyssa's test scores are listed below
74, 86, 94, 82
Part A: Calculate the mean AND median of the given data. Show all your work. (1 points)
Part B: Alyssa just finished taking a fifth test. What score must she earn on her fifth test in order to have at least an 85% test average. Show all your work. (2 points)
Part C: How was the median affected by the addition of the fifth test score? (1 point)
The mean and median of the given data is 84 and 84, in order to have 85% as average, Alyssa should score 89 marks and we cannot say anything about how the median is affected.
Part A: Finding the mean of the data,
Mean = (74 + 86 + 94 + 82) / 4 = 336 / 4 = 84
Therefore, the mean score is 84. To find the median, we first need to put the scores in order from smallest to largest, 74, 82, 86, 94. Since we have an even number of scores, the median is the average of the two middle scores. In this case, the two middle scores are 82 and 86, so we take their average,
Median = (82 + 86) / 2 = 168 / 2 = 84
Therefore, the median score is 84.
Part B: Let x be the score Alyssa needs to earn on her fifth test. To find the score she needs to maintain an 85% average, we can set up the following equation,
(74 + 86 + 94 + 82 + x) / 5 = 85
Multiplying both sides by 5, we get,
74 + 86 + 94 + 82 + x = 425
Adding up the first four scores, we get,
74 + 86 + 94 + 82 = 336
Substituting in equation,
336 + x = 425
Subtracting 336 from both sides, we get,
x = 89
Therefore, Alyssa needs to earn at least an 89 on her fifth test to maintain an 85% average.
Part C: The median is the middle score when the data is arranged in order. Since the fifth test score has not yet been added, the median is still 84. So, we cannot really say anything about the median.
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Museums offer programs, such as Friday night gatherings or hand-on art activities, to draw the public into the museum in hopes of
enticing them to visit frequently.
true or false
Answer:
False
Step-by-step explanation:
That's Maths? False though
Mast 1 broadcasts radio signals that can be heard within a radius of 15 km.
Mast 2 broadcasts radio signals that can be heard within a radius of 20 km.
Use ruler and compasses to work
out in which region radio signals can
be heard from both masts.
1 cm represents 10 km
The answer is region
Mast 1
71%
Mast 2
The intersection points are approximately (2.6, 1.29) and (2.6, -1.29).
How to explain the pointThe region where radio signals can be heard from both masts is the intersection of the two circles. We can find the intersection points by solving the system of equations:
(x - 1)² + y² = 1.5²
(x - 5)² + y² = 2²
Expanding the equations and subtracting them, we get:
10x - 26 = 0
So, x = 2.6. Substituting into either equation, we get:
y = ±✓(1.5² - (2.6 - 1)²) = ±1.29
The intersection points are approximately (2.6, 1.29) and (2.6, -1.29).
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Can u check my answer if its right
The correct option is c because the measure of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem.
What is the Angles of Intersecting Chords Theorem
The Angles of Intersecting Chords Theorem states that the angle formed by the intersection of the chords is equal to half the sum of the intercepted arcs, and conversely, that the measure of an intercepted arc is half the sum of the two angles that intercept it.
66° = (RE + ST)/2
66° = (RE + 70)/2
RE + 70 = 2 × 66 {cross multiplication}
RE + 70 = 132
RE = 132 -70 {collect like terms}
RE = 62°
Therefore, the measures of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem
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Hoku is buying uniform shirts for her employees. She pays the shirt company the following prices:
• A one-time fee of $880 for the shirt design and the first 50 shirts
• $12 per shirt for every shirt over 50 shirts
To determine the cost of shirts, y, for any number of shirts, x, over 50, she wrote the equation y = 12(x - 50) + p.
What is the value of p in her equation?
Enter the value of p in the response box.
P =
It is given that Hoku is paying the shirt company $880 for shirt design and the first 50 Shirts. So, the fixed price will be $880 for 50 shirts.
Now, for over & above 50 shirts the cost is $12 per shirt.
Now, adding both the amounts to get the total cost of uniform shirts for company. So, the equation for total cost for buying more than 50 uniform shirts becomes y = 12(x-50)+880.
Comparing the above equation with the given equation, the value of p comes out to be 880.
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If Sally invested $45,000 in an account that pays 11.9% interest, compounded continuously:
How much would be available after 10 years?
How much after 25 years?
How long will it take to double in value?
Answer: To solve this problem, we can use the formula for continuous compound interest:
A = Pe^(rt)
Step-by-step explanation:
A = Pe^(rt)
where A is the amount of money in the account after t years, P is the principal amount (initial investment), e is the mathematical constant (approximately 2.71828), r is the annual interest rate as a decimal, and t is the time in years.
For Sally's investment:
P = $45,000
r = 0.119 (11.9% as a decimal)
a) After 10 years:
t = 10
A = 45000e^(0.119 x 10) = $158,086.34
Therefore, after 10 years, Sally would have approximately $158,086.34 in the account.
b) After 25 years:
t = 25
A = 45000e^(0.119 x 25) = $989,988.27
Therefore, after 25 years, Sally would have approximately $989,988.27 in the account.
c) To find how long it takes to double in value:
We can use the formula:
2P = Pe^(rt)
Simplifying this equation:
2 = e^(rt)
ln(2) = rt
t = ln(2)/r
Using the values of P and r from above:
t = ln(2)/0.119 = 5.81 years (rounded to two decimal places)
Therefore, it would take approximately 5.81 years for Sally's investment to double in value.
Write the equation of the line that has slope 3 and passes through the point
(-2,5).
Multiple choice answer
The shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes is a composite figure with two triangles and rectangles
Given data ,
Let the shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes be A and B
Now , on dividing the solid , we get
Two triangles on the opposite sides of the figure
And , rectangles on each adjacent sides of the figure
Hence , the congruent shape has 2 rectangles and 2 triangles
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Which of the following keywords best describe the OF SERVICE
a. None of the above
b. Categorical qualitative, discrete
c. quantitative, ordinal, discrete
D. both I and 2
e. numeric, quantitative, continous
The keyword that best describes the OF SERVICE is a. None of the above
What Is a keyword?A keyword is a term in information retrieval that captures the essence of a document's topic. Index terms make form a regulated vocabulary for usage in bibliographic data.
None of the preceding keywords correctly describe the term "of service" as it is a preposition used to denote the sort or character of a particular service being delivered. It does not refer to any statistical or mathematical concept.
The right answer is A based on the information.. It is not a statistical or mathematical term.
Based on the information, the correct option is A.
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write an equation if the area of the square is
[tex]9cm ^{2} [/tex]
area of a square =
[tex]l {}^{2} \\ = l \times l \\ = 3cm \times 3cm \\ = 9cm {}^{2} \\ [/tex]
hope it helps
At a certain college, the mean math ACT score is a 21.8 with a standard deviation of 4.9. Assume that these scores have a normal distribution, what is the 30th percentile of math ACT scores at this college?
A math ACT score of 19.55 or lower corresponds to the 30th percentile of scores at this college.
To do this, we can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.
By using a table or calculator, we can find the z-score that corresponds to the 30th percentile. The z-score represents the number of standard deviations away from the mean that a certain point is. Once we have the z-score, we can use it to find the actual math ACT score by using the formula:
actual score = mean + (z-score)(standard deviation)
If we use a standard normal distribution table, we can find that the z-score corresponding to the 30th percentile is -0.52. Therefore, the math ACT score that corresponds to the 30th percentile at this college is:
actual score = 21.8 + (-0.52)(4.9) = 19.55
In other words, 30% of the scores are below 19.55, and 70% of the scores are above 19.55.
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Find the surface area of a square pyramid with side length 4 cm and slant height 3 cm.
Answer:
40 cm²
Step-by-step explanation:
The surface area of a square-based pyramid is made up of:
A square base.4 congruent triangular sides.The area of a square is the square of its side length.
Given the side length of the square base is 4 cm, the area of the base is:
[tex]\begin{aligned}\implies \sf Area\;of\;square\;base&=4^2\\&=4 \cdot 4\\&=16\;\sf cm^2\end{aligned}[/tex]
The area of a triangle is half the product of its base and height.
Given the base of the triangular side is 4 cm and its height is 3 cm, the area of one triangular side is:
[tex]\begin{aligned}\implies \sf Area\;of\;one\;triangular\;side&=\dfrac{1}{2}\cdot 4 \cdot 3\\&=2 \cdot 3\\&=6\;\sf cm^2\end{aligned}[/tex]
Therefore, the total surface area of the square pyramid is:
[tex]\begin{aligned}\implies \sf Total\;surface\;area&=\sf square\;base+ 4\; triangular\;sides\\&=\sf 16\;cm^2+4 \cdot 6\; cm^2\\&=\sf 16\; cm^2+24\;cm^2\\&=\sf 40\;\sf cm^2\end{aligned}[/tex]
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
[tex]\displaystyle{f(x)=3^x-5}[/tex]
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
[tex]\displaystyle{f(x)=3^x-5}[/tex]
or A choice.
Which sentence correctly uses commas to separate coordinate adjectives?
A
Melissa could not find her yellow jacket in the large unorganized closet.
B
Jared wore his old, tennis shoes to mow the thick, overgrown lawn next door.
C
Dennis did not want to see the long, boring movie at a crowded, overpriced theater.
D
Shannon signed up for the challenging, writing course at the local, community college.
The sentence that correctly uses commas to separate coordinate adjectives is D. Shannon signed up for the challenging, writing course at the local, community college.
Words that describe or provide details about a noun are called adjectives. Two or more adjectives are referred to as coordinate adjectives when they are used to describe the same noun. 'And' or a comma are used to separate them every time. These must be properly used, else a reader can mistake adjectives for a single modifier rather than a pair of coordinates.
The comma should be placed between any two or more adjectives that equally modify the same noun, and their order doesn't have to change the meaning, according to the guideline for using commas to separate coordinate adjectives in sentences. Option D includes the coordinate adjectives "challenging" and "writing" that equally modify the noun "course," as well as the coordinating adjectives "local" and "community" that equally modify the noun "college."
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For each pair of functions f and g below, find f(g(x)) and g (f(x)).
Then, determine whether fand g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)
(a) f(x) =
3
X
3
g(x)
f(g(x)) =
x
, x = 0
"
x 0
8 (f(x)) =
Of and g are inverses of each other
fand g are not inverses of each other
(b) √(x) = x + 4
g(x) = -x + 4
f(g(x)) = [
8((x)) =
Of and g are inverses of each other
fand g are not inverses of each other
The functions f and g are inverses of each other in the first pair but not in the second pair
Determining whether the functions fand g are inverses of each other.For the first pair, we have
f(x) = -3/x
g(x) = -3/x
So, we have
f(g(x)) = -3/(-3/x)
Evaluate
f(g(x)) = x
Similarly;
g(f(x)) = x
This means that
f(g(x)) = g(f(x)) = x
So, the functions f(x) and g(x) are inverses of each other
For the second pair, we have
f(x) = x + 4
g(x) = -x + 4
So, we have
f(g(x)) = -x + 4 + 4
f(g(x)) = -x + 8
This means that
The functions f(x) and g(x) are not inverses of each other
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Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,102 26,839 1452 7847 18,978 14,872 14,276 26,644 Female 24,557 13,016 18,601 17,625 13,283 17,326 16,159 18,438 Identify the test statistic. t= (Round to two decimal places as needed.)
The value of the t-statistic is -0.51.
To identify the test statistic, we need to conduct a paired samples t-test using the data provided for the words spoken by males and females in eight different randomly selected couples.
The following formula can be used to get the test statistic:
Calculate the difference between the number of words spoken by the male and female members of each couple.
Male - Female:
-9,455, 13,823, -17,149, -8,778, 5,695, -2,454, -1,883, 8,206
Calculate the mean difference:
(Sum of differences) / (Number of differences) = (-9,455 + 13,823 - 17,149 - 8,778 + 5,695 - 2,454 - 1,883 + 8,206) / 8 = -1,995.5
Calculate the standard deviation of the differences:
s = sqrt((Σ(Male - Female - Mean)²) / (n - 1))
where Σ represents the sum from i = 1 to n, n is the number of differences (in this case, n = 8)
s = sqrt(((15102-24557-(-1995.5))² + (26839-13016-(-1995.5))² + ... + (26644-18438-(-1995.5))²) / (8-1))
s ≈ 11105.82
Determine the mean difference's standard error:
s/√n = 11105.82/√8 ≈ 3927.94
Calculate the t-statistic:
t = (Mean difference - Null hypothesis value) / (Mean difference standard error)
We do not have a null hypothesis value, but since we are testing if there is a significant difference between the mean number of words spoken by males and females, we can assume a null hypothesis value of 0.
t = -1995.5 / 3927.94 ≈ -0.508
Therefore, the test statistic is t = -0.51 (rounded to two decimal places).
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Use de moivre's theorem to write the complex number in standard form [sqrt(2)(cos(20degrees)+isin(20degrees))]
The complex number in standard form is 8(cos2π +isin 2π) by using DeMoivre's theorem
De Moivre's formula (also known as de Moivre's theorem and de Moivre's identity) states that for any real number x and integer n it holds that (cosx + i sinx)ⁿ= cosnx + i sinnx.
where i is the imaginary unit (i² = −1).
By DeMoivre's theorem:
√2(cos(20°)+isin(20°)]⁶
√2⁶(cos6( 60°) + isin6( 60°))
=8(cos6(60°) +isin 6(60°))
=8(cos6(π/3) +isin 6(π/3))
=8(cos2π +isin 2π)
Hence, the complex number in standard form is 8(cos2π +isin 2π) by using DeMoivre's theorem
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HELPPPPPPPPPPpppppppppppppppppppppp
Answer:
2464
Step-by-step explanation:
Parallelogram Area Formula: A=bh
Length is the same as base or b.
H is height
B =88 H=28
A=88•28=2464 m^
what is the probability of rolling two dice and the first dice landed on a five and the second dice landed on a number greater than or equal to 4
The value of probability is, 1/9
Now, For the first die, the probability that the number is less than 3 is,
⇒ 2/6
⇒ 1/3
because there are only 2 numbers (1 and 2) which are less than 3.
And, For the second die, the probability that the number is greater than 4 is,
⇒ 1/3 for only the numbers 5 and 6 satisfy the condition.
Hence, To obtain the total probability, multiply the two probabilities because of the conjunction "and".
⇒ 1/3 × 1/3
⇒ 1/9
Thus, the answer is 1/9.
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what 2 values can f have if f² is 16
Answer:
4 and -4
Step-by-step explanation:
4²=16
-4²=1
The two values that f could be if f² is 16 are +4 and -4 because both the positive and negative square roots are considered in solving the equation f² = 16.
Explanation:The solution to the equation f² = 16 is found by taking the square root of both sides. However, when we take the square root in solving an equation, we need to consider both the positive and negative roots. The square root of 16 is +4 and -4. These are the two possible solutions for f in the equation f² = 16.
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Assume that the math ACT scores for a high school with 240 students have a mean of 23 and a standard deviation of 6.1. According to the central limit theorem, what is the standard deviation of the sample mean?
The sample mean to deviate from the population mean by approximately 0.394 points.
According to the central limit theorem, the standard deviation of the sample mean can be calculated by dividing the population standard deviation (in this case, 6.1) by the square root of the sample size (in this case, 240). This means that the standard deviation of the sample mean for this high school would be:
standard deviation of sample mean = population standard deviation / square root of sample size
= 6.1 / √(240)
≈ 0.394
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K
J
L
5
M
Given that the rectangle above has a perimeter of 34 units, find mZKLJ. Round the answer to the nearest hundredth.
A. 8.46°
B. 22.62⁰
C. 24.62°
D. 65.38°
The measure of angle ZKLJ is approximately is 24.62°. Option C is right choice.
To find the measure of angle ZKLJ in the given rectangle:
Since a rectangle has opposite sides equal in length, we can divide the perimeter of 34 units by 4 to find the length of each side:
34 units / 4 = 8.5 units
Now, consider triangle ZKL. We know that ZK = 8.5 units and KL = 5 units.
Using the Pythagorean theorem, we can calculate the length of ZL:
[tex]ZL^2[/tex] = [tex]ZK^2 + KL^2[/tex]
[tex]ZL^2[/tex] = [tex](8.5 \:units)^2 + (5 \:units)^2[/tex]
[tex]ZL^2[/tex] = 72.25 + 25
[tex]ZL^2[/tex] = 97.25
ZL ≈ 9.86 units
Now, let's calculate the tangent of angle ZKL:
tan(ZKL) = KL / ZL
tan(ZKL) = 5 units / 9.86 units
tan(ZKL) ≈ 0.507
Using the inverse tangent (arctan) function, we can find the measure of angle ZKLJ:
ZKLJ ≈ arctan(0.507)
ZKLJ ≈ 27.46°
Therefore, rounding to the nearest hundredth, the measure of angle ZKLJ is approximately 27.46°.
The closest option to this answer is option C: 24.62°.
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Question-
Given that the rectangle above has a perimeter of 34 units, find mZKLJ. Round the answer to the nearest hundredth.
A. 8.46°
B. 22.62⁰
C. 24.62°
D. 65.38°
HELPPPP PLEASEEEE When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
Answer:
By copying the given statements from the original problem
No. D
I hope it helped you.
Please Mark me the brainliest
Answer:
Hey, when writing a proof, the first statement should be based on the given information or assumptions, and it should be written in the left column of the proof. To get started, it's best to look at the "given" statements from the original problem and use those as your starting point. This first statement sets the foundation for the logical progression of the proof.
It's important to remember that each subsequent statement should be logically connected to the previous ones, and should lead towards the final statement or conclusion that you're trying to prove. To make your proof convincing, you should also include a justification for each statement that you make, which goes in the right column of the proof.
Overall, constructing a proof can take some time and effort, but by following a clear and logical progression, you can create a solid and convincing argument for your claim.
Step-by-step explanation:
Doug needs to order 5,000 g of vitamins at the store the vitamins come in 1 k packages that cost $ 80 each. How many bags must Doug buy
We start with the given, 10 g and we want to change grams to number of tablets. First, we convert 10 g to mg and then convert mg to tablets. We need a conversion factor for each step.
10* 1000/ 500
The answer will be 20 tablets.
Human drug dosages can be determined using weight (e.g., mg/kg) or surface area (e.g., mg/m2) based on weight when compared to doses used in animal studies. 2/3.
The most frequent substances for which doses are assessed are chemicals, although there are others, such radiation exposure. The majority of micronutrient and pharmaceutical doses for people are expressed in milligrams (mg), while some are expressed in micrograms due to their strength.
Non-medicinal poisons range in potency; some are so lethal that just one microgram of them is required to cause death, while others require much more. For instance, when consumed in sufficient amounts, even water becomes hazardous.
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complete question:
vitamin c tablets can come in 500 mg tablets. how many of these tablets are needed to obtain 10 g of vitamin c?
PLEASE ANSWER ASAP!!!!
Answer:
1. true
2. false
3. true or false
A store has two types of animal feed available. Type A contains 5 pounds of oats and 7 pounds of corn per bag. Type B contains 6 pounds of oats and 4 pound
of corn per bag. A farmer buys both types and combines them so that the resulting mixture has at least 150 pounds of oats and at least 140 pounds of corn.
The store only has 20 bags of type A feed and 25 bags of type B feed in stock. Let x be the number of type A bags purchased. Let y be the number of type B
bags purchased. Shade the region corresponding to all values of x and y that satisfy these requirements.
PO
B
X
Ś
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The region that satisfy the requirements in this situation is added as an attachment
Identifying the region that satisfy the requirements in this situationFrom the question, we have the following parameters that can be used in our computation:
Type A
5 pounds of oats and 7 pounds of corn per bag.
Type B
6 pounds of oats and 4 pounds of corn per bag
This means that
Oats = 5x + 6y
Corn = 7x + 4y
Using the resulting mixtures, we have
5x + 6y ≥ 150
7x + 4y ≥ 140
For the bags available, we have
0 ≤ x ≤ 20 and 0 ≤ y ≤ 25
See attachment
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Zaid holds up a bag of coins.
The bag contains only 5p and 20p coins.
The ratio of 5p to 20p coins is 2:1
Zaid says
"If all the 5p coins became 20p coins and all the 20p coins became 5p coins
the total value of the coins in the bag would increase by £6."
Work out how many coins are in the bag.
the number of 5p = 2x
and the number of 20p = x
the total value = y
(2x)*(.05) + (x)*(.20)= y .......eqa1
if all 5p became 20p
20p = 2x
5p = x
(x)*(.05) + (2x)*(.20)= y+6 ..... eqa2
subtract the equations
eq2 - eq 1
======================
0.05x + 0.4x =y+6
-
0.1x + 0.2x = y
======================
0.45x= y+6
-
0.3x =y
= 0.15x = 6
x = 40
so number of 5p = 80 coins
and number of 20p = 40 coins
Which number is closest to 158 square root?
A:12.5
B:15.4
C: 13.55
D: 17.6
Answer: A
Step-by-step explanation:
Well when we use a calculator to determine the square root of 158 we get= 12.56980509.
And so option A woud be closest, smallest difference between all.
Answer: A
Step-by-step explanation: Square root of 158 simplified is 12.5698