Evaluate the integral. 0∫1 r3 /√16 + r2 dr
Answers
The value of the integral \(\int\limits^1_0 {\frac{r^3}{\sqrt{16+r^2} } } \, dr\) after the evaluation of the integral is 0.0612.
Given an integral:
\(\int\limits^1_0 {\frac{r^3}{\sqrt{16+r^2} } } \, dr\)
It is required to find the value of the integral.
There is a formula to find the integration by parts of definite integrals as:
\(\int(udv)=uv-\int(vdu)\)
Here, let u = r².
Then, du = 2r dr
Then, using the formula:
\(dv=\frac{r}{\sqrt{16+r^2} }\)
Then, \(v=\sqrt{16+r^2}\).
Applying the formula,
\(\int\limits^1_0 {\frac{r^3}{\sqrt{16+r^2} } } \, dr=[r^2\sqrt{16+r^2} ]_0^1-\int\limits^1_02r\sqrt{16+r^2} dr\)
For the second integral, let x = 16 + r².
Then, dx = 2r dr
So, the integral becomes \(\int\sqrt{x} dx\) which is \(\int\sqrt{16+r^2} dr\).
So, the integral is:
\(\int\limits^1_0 {\frac{r^3}{\sqrt{16+r^2} } } \, dr=\sqrt{17} -[\frac{2}{3} (16+r^2)^\frac{3}{2}]_0^1\)
\(=\sqrt{17} -\frac{2}{3} ((17)^\frac{3}{2} -(16)^\frac{3}{2} )\)
\(=0.0612\)
Hence, the integral value is 0.0612.
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Related Questions
Find the 99% confidence interval for the population mean when the population standard deviation is three and the sample mean is six. Assume the population has a normal distribution and 10 items are in the sample. (3.52, 8.48) (2.74, 9.26) (3.56, 8.44) (4.14, 7.86)
Answers
The 99% confidence interval for the population mean is approximately (3.56, 8.44).
To find the 99% confidence interval for the population mean, we can use the formula:
Confidence interval = sample mean ± (critical value) × (standard deviation / √(sample size))
In this case, the population standard deviation is 3, the sample mean is 6, and the sample size is 10.
To find the critical value, we need to determine the z-score associated with a 99% confidence level.
Since the confidence level is 99%, we need to find the z-score that leaves 1% of the area in the tails of the normal distribution.
The remaining 99% is divided equally between the two tails, so each tail has an area of 0.5%.
Using a standard normal distribution table or calculator, we can find the z-score associated with the 0.5% tail area, which is approximately 2.576.
Plugging the values into the formula, we have:
Confidence interval = 6 ± (2.576) (3 / √(10))
Calculating this, we get:
Confidence interval = 6 ± 2.576 × 3 / √(10) ≈ 6 ± 2.576 × 0.948683 ≈ 6 ± 2.44597
Therefore, the 99% confidence interval for the population mean is approximately (3.56, 8.44).
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Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.
Answers
Answer:
32.6193819
Step-by-step explanation:
calulater never lies XD
Answer:
The answer should be: x=2,-12
which on your answer should backwards: {-12,2}
Step-by-step explanation:
Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)
Answers
Answer:
See Explanation
Step-by-step explanation:
(For Diagram please find in attachment)
Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DBTo Prove, E is the midpoint of AC.Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.Since DE∥BC
∴ By Basic Proportionality Theorem,
AD/DB = AE/EC
Since it is Given, AD=DB
∴ AE/EC =1
∴ AE=EC (Proved)
Consider the recurrence: T(N) - 9T(N/9)+N(IgN) Fill in the answers below. If a log is needed, use lg (short for log. 2). p- type your answer... case: choose your answer... T(N) - Thetal type your answ
Answers
Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).
For the given recurrence relation, T(n) - 9T(n/9)+N(IgN), we have to find the time complexity using the master theorem, which is given below:
Master Theorem:
Consider a recurrence relation T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1 and f(n) is an asymptotically positive function. Then, we have the following cases:
Case 1: If f(n) = O(nᵏ) for some constant k < logb(a), then T(n) = Θ(nlogb(a)).
Case 2: If f(n) = Θ(nᵏlogm(n)) for some constant k = logb(a), then T(n) = Θ(nᵏlog(m+1)n).
Case 3: If f(n) = Ω(nᵏ) for some constant k > logb(a), and if a.f(n/b) ≤ cf(n) for some constant c < 1 and sufficiently large n, then T(n) = Θ(f(n)).
In the given recurrence relation, we have a = 9, b = 9 and f(n) = n * log n.
Comparing a with bᵏ, we get a = bᵏ.
∴ k = 1
Taking log with base 9 on both sides, we get:
log₉T(n) = log₉(9T(n/9) + n * log n)log₉T(n) = log₉9 + log₉T(n/9) + log₉n * log₉log(n)log₉
T(n) = 1 + log₉T(n/9) + log₉n * log₉log(n)For f(n) = n * log(n), nᵏ = n¹, so k = 1 > 0.
Therefore, according to master's theorem, T(n) = Θ(n * log n).
Using the master theorem, the time complexity of the given recurrence relation T(N) - 9T(N/9)+N(IgN) has been found. The answer is T(n) = Θ(nlogb(a)) = Θ(n * log n), which implies that the time complexity is of O(nlog n).
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A truck that can carry no more than 7100 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 250 lb and each piano weighs 425 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 12 refrigerators and 11 pianos overload the truck? Explain
Answers
Yes, 12 refrigerators and 11 pianos overload the truck, because 12 refrigerators and 11 pianos weighs more than 7100 lb.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, a truck that can carry no more than 7100 lb is being used to transport refrigerators and upright pianos
Let the number of refrigerators be x and the number of pianos be y.
Each refrigerator weighs 250 lb and each piano weighs 425 lb.
Here, 250x+425y≤7100
Will 12 refrigerators and 11 pianos overload the truck
Now, put x=12 and y=11 in the inequality 250x+425y≤7100, we get
250×12+425×11≤7100
7675≤7100 not true
Therefore, the inequality represent the given scenario is 250x+425y≤7100.
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. Each side of this ice cube measures 3.3 millimetres. What is the volume of this ice cube?
Answers
The volume of the ice cube is 35.937 mm^3
We know that for a cube of side length L, the volume is defined as:
V = L^3
Here, we do know that each side of our ice cube measures 3.3 mm, so we have:
L = 3.3mm
Then the volume of the cube is just:
V = (3.3 mm)^3 = 35.937 mm^3
We can conclude that the volume of the ice cube is 35.937 mm^3
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I have attached the questions above pls help me ASAP
I will give the person with correct answers brainliest as reward
Answers
Answer:
a) C = 31.42
b) A = 78.55
Step-by-step explanation:
C = (2)(pi)(r), pi = 3.142 and r = 5
C = (2)(3.142)(5)
C = 31.42
A = (pi)(r)^2, pi = 3.142 and r = 5
A = (3.142)(5)(5)
A = 78.55
List 6 sets of integer values that satisfy |x-y|>2
Answers
Answer:
x = -1, y = -5
x = 0, y = -3
x = 1, y = -1
x = 2, y = 1
x = 3, y = 5
x = 4, y = 7
These are six sets of integer values that satisfy the inequality |x-y|>2. In each case, the absolute value of the difference between x and y is greater than 2, which satisfies the inequality. For example, in the first set, x = -1 and y = -5, so the absolute value of the difference is |-1 - (-5)| = |-1 + 5| = 6, which is greater than 2. In the second set, x = 0 and y = -3, so the absolute value of the difference is |0 - (-3)| = |0 + 3| = 3, which is greater than 2. Similarly, the other sets of values also satisfy the inequality.
Which factor provides the basis for the grading of newly diagnosed malignant tumors? size of the tumor x number of metastases degree of differentiation of the cells number of lymph nodes involved
Answers
The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.
What is the degree of differentiation?The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.
The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.
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someone help me on this que stion AS AP PLEASE!!
Answers
D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.
The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.
Analyzing the given options:
A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.
B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.
C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.
The question was incomplete. find the full content below:
Which of the following conclusions is true AND obtained by using the Law of Detachment
A. If today is Saturday, then there is no school.
Today is Saturday.
There is no school.
B. If you work 8 hours, then you'll earn $100.
If you earn $100, you'll be able to buy a new set of headphones.
Jonathan works 8 hours.
He is able to buy a new set of headphones.
C. If a person lives in Long Beach Island, then they live in Ocean County.
Brick is in Ocean County.
George lives in both Brick and Ocean County
D. None of these.
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WILL MARK AS BRAINLIEST!! ASAP!
Theorem 1 (Extreme Value Theorem). Suppose f is continuous on [a, b]. Then f attains both an global minimum and a global maximum value at some points on the interval [a, b].
Sketch pictures to show that the above theorem is false if:
(a) f is not continuous;
(b) [a, b] is replaced with (a, b]
Answers
The Extreme Value Theorem does not apply on the open interval (0, 1].
What is the Extreme Value Theorem?
The Extreme value theorem states that if a function is continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval.
(a) If f is not continuous, the Extreme Value Theorem does not hold. Here is a sketch to illustrate this:
In the graph above, the function f(x) has a vertical asymptote at x = 0 and a hole at x = 1. The function is not continuous on the interval [0, 2], so the Extreme Value Theorem does not apply.
There is no global minimum or maximum on the interval, as the function keeps increasing as x approaches 0 and keeps decreasing as x approaches 2.
(b) If [a, b] is replaced with (a, b], the Extreme Value Theorem does not hold. Here is a sketch to illustrate this:
In the graph above, the function f(x) is defined on the open interval (0, 1]. The function has a horizontal asymptote at y = 0 and a local maximum at x = 1/2.
However, there is no global maximum on the interval (0, 1], since the function keeps increasing without bound as x approaches 0.
Therefore, the Extreme Value Theorem does not apply on the open interval (0, 1].
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X - 13 is greater than equal to -4 ?
Answers
Answer:
x≥9
Step-by-step explanation:
x-13≥-4
add 13 on both sides
x≥9
Answer:
X - 13 ≥ - 4
x ≥ -4 + 13
x ≥ 9
Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0. 1|x – 3|? It is wider and shifted 3 units to the left. It is wider and shifted 3 units to the right. It is narrower and shifted 3 units to the left. It is narrower and shifted 3 units to the right.
Answers
The correct statement about the function is '' It is wider and shifted 3 units to the right''.
Given thatFunction; \(\rm f(x) = |x|\)
We have to determineWhich describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0. 1|x – 3|?
According to the questionThe function is;
\(\rm f(x) = |x|\)
First, the function is translated right into 3 units.
So, we have:
\(\rm f'(x) =|x-3|\)
The function is enlarged horizontally by a factor of 0.1.
\(\rm f''(x) =0.1|x-3|\)
The above highlights mean that:
\(\rm f'(x) =|x-3| \) will be wider than \(\rm f(x) = |x|\).
Hence, It is wider and shifted 3 units to the right.
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PLS HELP AND FAST!!! also it needs to be simplified!!
Answers
Answer:
I think it's B because the bigger numbers stay the same an u subtract the smaller numbers
(4^-3)/(4^-1)=4^3/41
Grapes are on sale for $0.97 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?
Answers
Answer:
$3.88
Step-by-step explanation:
0.97 multiplied by 4 gives you 3.88 :)
(-9+3i) - (6-4i) find the difference
Answers
Answer:
Step-by-step explanation:
Carlo has 8 3/4 yard of material. She needs to use 1/3 of the material to make a dress. How many yards of material will she need to make the dress?
Answers
We have that:
• Carlo has 8 3/4 yards of material
,• She needs to use 1/3 of the material to make a dress
Then we need to determine the number of yards of material she needs to make a dress.
To find it, we can proceed as follows:
1. We have that the total of material is:
\(8\frac{3}{4}\)2. And this mixed fraction is equivalent to the next improper fraction:
\(\begin{gathered} 8\frac{3}{4}=8+\frac{3}{4} \\ \\ \end{gathered}\)3. We also know that the formula to add two fractions is as follows:
\(\begin{gathered} \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\ \\ \text{ Then we have:} \\ \\ 8+\frac{3}{4}=\frac{8}{1}+\frac{3}{4}=\frac{8(4)+3(1)}{1(4)}=\frac{32+3}{4}=\frac{35}{4} \\ \\ \therefore8\frac{3}{4}=\frac{35}{4} \end{gathered}\)4. Now, to find the third part, we already know that the third part of a number is the number times 1/3 (or vice-versa). Then we have:
\(\begin{gathered} \frac{1}{3}*n\Rightarrow \\ \\ \frac{1}{3}*\frac{35}{4}=\frac{1(35)}{3(4)}=\frac{35}{12} \\ \\ \end{gathered}\)Therefore, Carlo needs 35/12 yards of material to make the dres
Find the curve length of C: x=cos3t,y=sin3t;0≤t≤π/2
Answers
the curve length of C over the interval 0 ≤ t ≤ π/2 is (3π/2) units.
What is Parametric curve?
To find the curve length of the curve C defined by the parametric equations x = cos(3t) and y = sin(3t), where t ranges from 0 to π/2, we can use the arc length formula for parametric curves.
The arc length formula for a parametric curve defined by x = f(t) and y = g(t), where a ≤ t ≤ b, is given by:
\(L = ∫[a, b] √[ (dx/dt)^2 + (dy/dt)^2 ] dt\)
Let's calculate the arc length for the given curve C:
x = cos(3t)
y = sin(3t)
First, we need to find the derivatives dx/dt and dy/dt:
dx/dt = -3sin(3t)
dy/dt = 3cos(3t)
Now, let's substitute these derivatives into the arc length formula:
\(L = ∫[0, π/2] √[ (-3sin(3t))^2 + (3cos(3t))^2 ] dt\)
\(L = ∫[0, π/2] √[ 9sin^2(3t) + 9cos^2(3t) ] dtL = ∫[0, π/2] 3 √[ sin^2(3t) + cos^2(3t) ] dtL = ∫[0, π/2] 3 dtL = 3[t] from 0 to π/2L = 3(π/2 - 0)L = 3π/2\)
Therefore, the curve length of C over the interval 0 ≤ t ≤ π/2 is (3π/2) units.
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PQ = 3x + 14 and QR = 7x - 10; Find x.
Answer
3x+14=7x-10
14+10=7x-3x
24=4x
6=x
Answers
Answer:
6
Step-by-step explanation:
3x+14=7x-10
14+10=7x-3x
24=4x
6=x
please follow me...The value of x in the expression is 6.
To obtain the value of x, we equate both PQ and QR
PQ = 3x + 14
PQ = 3x + 14 QR = 7x - 10
PQ = QR
(3x + 14) = (7x - 10)
3x + 14 = 7x - 10
Collect like terms
3x - 7x = - 10 - 14
-4x = - 24
Divide both sides by - 4
x = - 24 / -4
x = 6
Hence, the value of x = 6
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A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 200lb and a standard deviation of 35lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight exceeds 187.5lb, which is the maximum mean weight that does not cause the total load to exceed 3750lb ? The probability is (Round to four decimal places as needed.) d. Is the new capacity of 20 passengers safe?
Answers
a) The maximum mean weight is 150lb. b) The probability is approximately 0.0062. c) The probability is approximately 0.9764. d) The new capacity of 20 passengers does not appear to be safe as the probability of exceeding the load limit is high.
a) To find the maximum mean weight, we divide the load limit of 3750lb by the stated capacity of 25 passengers: 3750lb / 25 passengers = 150lb. Therefore, the maximum mean weight of the passengers should not exceed 150lb to stay within the load limit.
b) To find the probability that the mean weight of 25 randomly selected passengers exceeds 150lb, we need to calculate the probability of the sample mean being greater than 150lb. Since the sample mean follows a normal distribution, we can use the standard deviation of the population (35lb) divided by the square root of the sample size (√25) to calculate the standard error. With this information, we can calculate the z-score and find the probability using a standard normal distribution table or a statistical calculator. The probability is approximately 0.0062.
c) If the capacity is revised to 20 passengers, we need to find the new maximum mean weight that does not exceed the load limit. Given that the load limit is 3750lb and the capacity is 20 passengers, we divide the load limit by the new capacity: 3750lb / 20 passengers = 187.5lb. To find the probability that the mean weight of 20 randomly selected passengers exceeds 187.5lb, we can use a similar approach as in part b. The probability is approximately 0.9764.
d) The new capacity of 20 passengers does not appear to be safe because the probability of exceeding the load limit is high (approximately 0.9764). This indicates a significant risk of exceeding the load limit if the mean weight of the passengers is greater than 187.5lb. Therefore, it would be advisable to reconsider the capacity or take additional precautions to ensure passenger safety and avoid exceeding the load limit.
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The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is, d
Answers
decimal d contains an infinite number of integers after decimal point. decimal d is a unique representation of the integers, but it is not a conventional way of representing integers. 2) the 10,000th digit after the decimal point in the decimal "d" is "7".
The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point. This means that d is an infinitely long decimal, where each positive integer appears consecutively after the decimal point.
Since the decimal d is formed by integers in increasing order, it means that d contains all positive integers.
In other words, every positive integer will eventually appear in d.
However, since d is infinitely long, it is impossible to write down the entire decimal representation of d.
Therefore, the decimal d contains an infinite number of integers after the decimal point.
The decimal d is a unique representation of the integers, but it is not a conventional way of representing integers. Instead, it is an interesting mathematical concept that demonstrates the infinity of positive integers.
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The complete question is -The decimal "d" is formed by writing in succession all the positive integers in increasing order after the decimal point; that is, d = 0.123456789101112131415161718192021...
What is the 10,000th digit after the decimal point in the decimal "d"?
I need help with this please
Answers
Answer: D
Step-by-step explanation:
Domain is x and Range is y
There are 7 pieces of pie over in the cafeteria. If 5 pieces are apple and 2 are cherry, what fraction of the remaining pieces are cherry?
Answers
Answer:
No
Step-by-step explanation
because 5+2=7 so I don't have a piece of cake left over
Missy has 4 times as many trading cards as her friends ashe and caleb combined. Ashe has 17 cards . Missy has 156 cards.
How many trading cards does caleb have ?
The eqaution that repsents this problem _____
Solving the equation gives x= ____
Caleb has ___ trading cards.
Answers
There are 22 cards in the Caleb trading card deck.
What is the division of the 52 playing cards?A deck of playing cards contains 52 total cards. Each of the four suits contains 13 playing cards. These are the diamonds, clubs, hearts, and spades. Although hearts and diamonds are red, spades and clubs are black.
In total, Missy has 156 cards. We split 156 by 4 since she has four times as many as they have.
156/4= 39
Ashe possesses 17 cards, while Caleb's number is still a mystery. They each have 39 cards, thus to determine how many cards Caleb has, we must take Ashe's cards away.
39-17=22
presently going over our work
Caleb has 22 cards in his hand.
Ashe is holding 17 cards.
They each have 39.
Which is 4 times less than how many cards Missy has
Missy has 156 cards.
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Whats 38240 divided by 4
Answers
Answer:
9560
Step-by-step explanation:
Use a calculator or do long division.
You can also divide by 2 twice.
38240/2 = 19120
19120/2 = 9560
Answer: 9560
Answer:
9560
Step-by-step explanation:
30000÷4=7500
8000÷4=2000
200÷4=50
40÷4=10
0÷4=0
7,500+2,000+50+10+0=9,500+60=9,560
Solve for b. ax+3b=2f
Answers
b = \(\frac{2f}{3}\) - \(\frac{ax}{3}\)
hope this helps <3
Simplify the following expression.
Answers
Answer:
option 1
Step-by-step explanation:
you multiply the numerators and the denominators which gets you 4^1/8
An expression is defined as a set of numbers, variables, and mathematical operations. The given exponential function when simplified will result in 4^(1/8). The correct option is A.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential expression can be simplified as shown below.
\((4^{\frac14})^{\frac12}\)
Using the exponential property (mᵇ)ˣ = mᵇˣ,
= \(4^{\frac14 \times \frac12}\)
= \(4^{\frac18}\)
Hence, the given exponential expression when simplified will result in 4^(1/8).
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A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answers
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
Select the correct answer. Positive Test Negative Test Subject is diabetic 35 3 Subject is not diabetic 5 28 A test subject is randomly selected for a diabetes test. What is the probability of getting a subject who is not diabetic, given that the test result is negative? Find the probability using the data table. A. 0.10 B. 0.12 C. 0.50 D. 0.90
Answers
The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.
To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).
Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result
Probability = 5 / 28
Simplifying this fraction, we get:
Probability ≈ 0.1786
Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
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Answers
On solving the provided question we can say that It is not possible to determine if a triangle can be formed using the given side lengths.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
in the provided sides of triangle,
It is not possible to determine if a triangle can be formed using the given side lengths.
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