Best answer with step by step explanation will get brainliest answer..pls help me with question
Answers
Answer:
Option (3)
Step-by-step explanation:
Given expression is,
\(\frac{2^3\times 125^\frac{2}{3}\times 81^\frac{3}{4}}{8^\frac{1}{3}\times 9\times 5^2}\)
To solve the given expression we will apply the law of exponents,
\(\frac{2^3\times 125^\frac{2}{3}\times 81^\frac{3}{4}}{8^\frac{1}{3}\times 9\times 5^2}=\frac{2^3\times (5^3)^\frac{2}{3}\times (3^4)^\frac{3}{4}}{(2^3)^\frac{1}{3}\times (3^2)\times 5^2}\)
\(=\frac{2^3\times (5^{3\times \frac{2}{3}})\times (3^{4\times \frac{3}{4}})}{(2^{3\times \frac{1}{3}})\times (3^2)\times 5^2}\)
\(=\frac{2^3\times 5^2\times 3^3}{2\times 3^2\times 5^2}\)
\(=\frac{2^3}{2}\times (\frac{5^2}{5^2})\times (\frac{3^3}{3^2})\)
\(=2^{3-1}\times (1)\times 3^{3-2}\)
\(=2^2\times 1\times 3\)
\(=12\)
Therefore, Option (3) will be the correct option.
Related Questions
The thickness (mm) of the coating applied to disk drives is a characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness X has a normal distribution with mean u = 3 mm and standard deviation o = 0.05 mm. Suppose that the coating process will be monitored by selecting a random smpale of 16 drives from each shift's production and determining m, the sample mean coating.a) Describe the smapling distribution of m.b) When no unusual circumstances are present, we expect m to be within 3*o(x) of 3 mm, the desired coating thickness value. A value of m farther from 3 than 3*o(x) is interpreted as an indication of a problem that needs attention. Compute 3 + 3*o(x) and 3 - 3*o(x).c) Referring to part (b), what is the probability that m will be outside 3 + 3*o(x) and 3 - 3*o(x) just by chance?d) Suppose that a machine used to apply the coating is out of adjustment, resulting in a mean coating thickness of 3.05 mm. What is the probability that a problem will be detected when the next smapel is taken? (Hint: This will occur if m > 3 + 3*o(x) or m < 3 - 3*o(x) when u = 3.05.)
Answers
For u = 3 mm and standard deviation o = 0.05 mm., (a) the sample size is 16 the standard error is 0.0125 mm. (b) 2.9625 mm (c) 3. (d) z=4.
a) The sampling distribution of the sample mean m follows a normal distribution. Since the population distribution of the coating thickness is normal with mean u = 3 mm and standard deviation σ = 0.05 mm, the sampling distribution of the sample mean m will also be normal with the same mean u = 3 mm but with a standard deviation equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 16, so the standard deviation of the sampling distribution, often referred to as the standard error, will be σ_m = σ / \(\sqrt{n}\) = 0.05 / \(\sqrt{16}\)) = 0.05 / 4 = 0.0125 mm.
b) To compute 3 + 3 * σ_m and 3 - 3 * σ_m:
3 + 3 * σ_m = 3 + 3 * 0.0125 = 3 + 0.0375 = 3.0375 mm
3 - 3 * σ_m = 3 - 3 * 0.0125 = 3 - 0.0375 = 2.9625 mm
c) To find the probability that m will be outside 3 + 3 * σ_m and 3 - 3 * σ_m just by chance, we need to calculate the area under the sampling distribution curve outside this range. Since the sampling distribution follows a normal distribution, we can use z-scores to calculate this probability.
The z-score corresponding to 3 + 3 * σ_m can be calculated as (3.0375 - 3) / σ_m = 0.0375 / 0.0125 = 3.
The z-score corresponding to 3 - 3 * σ_m can be calculated as (3 - 2.9625) / σ_m = 0.0375 / 0.0125 = 3.
Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 3 or greater. The probability of being outside 3 + 3 * σ_m and 3 - 3 * σ_m just by chance is given by P(Z > 3) + P(Z < -3).
d) When the mean coating thickness is 3.05 mm, we want to find the probability that a problem will be detected when the next sample is taken, which occurs if m > 3 + 3 * σ_m or m < 3 - 3 * σ_m when u = 3.05.
To calculate this probability, we need to find the z-score corresponding to 3 + 3 * σ_m using the adjusted mean u = 3.05:
z = (3.05 - 3) / σ_m = 0.05 / 0.0125 = 4.
Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 4 or greater, which represents the probability of detecting a problem when the next sample is taken.
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Help plsss. Select the student who solved this equation correctly
X + 7 = 19
Answers
Answer: \(Student 2\)
Step-by-step explanation:
Hi there!
1.Subtract 7 from both sides of the equation
\(x + 7 = 1 9\)\(x + 7 - 7 = 1 9 - 7\)2.Simplify and substract the numbers and you get the answer
\(=12\)
A poll conducted by the UC Berkeley Institute of Governmental Studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state. Complete parts a through c. a) Compute a 90% confidence interval for the proportion of all Californians who considered moving out of state. b) Int repret your interval in this context. Select the correct answer below and fill in the answer baxes to complete your choice: (Type integers or decimals rounded to one decimal place as needed.) A. One is 90% conficent that the probability a randomly sampled Casfornian who considered moving out of the state is between and B. One is 90% confident that the true proportion of Californans who considered moving out of the slate is between y and C. The percent of Calilomians who considered moving out of the state is between % and D. There is a 90se chance, based on this sample, that betreen … and % of Californians considered moving out of state c) Since high cost of housing has often been cited as a reason why residents move out, suppose thę state government wil consider investing in new aftordable housing initiatives if it can be reasonably sure that more than 50% of Californians would consider moving. What should the state government conclude, based on the data? Since the contidence interval _____50\%, the state government____consider investing in new atordabie housing initiatives.
Answers
Therefore, the state government should consider investing in new affordable housing initiatives.
a) To compute the 90% confidence interval, we can use the formula:
CI = p ± z*(√(p(1-p))/n)
where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.
Plugging in the values, we get:
CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)
CI = 0.505 to 0.529 (rounded to three decimal places)
b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.
c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.
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We should use a normal distribution to model the number of years until the next florida hurricane strike.
a. True
b. False
Answers
Normal distribution to model the number of years until the next florida hurricane strike is false.
According to this statement
we have to find that the given statement is a true or a false.
So, For this purpose, we know that the
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And
It accurately describes the distribution of values for many natural phenomena.
So,
A normal distribution to model the number of years until the next florida hurricane strike is not a perfect.
this is a false. because this is not applicable.
So, Normal distribution to model the number of years until the next florida hurricane strike is false.
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Explain why 10 divided by 5 =5 divided by 10
Answers
Answer:
wrong
Step-by-step explanation:
10 /5 = 2
5/10 = 0.5
A Line Passes Through The Point (5,-2) and has a slope of (2,-5)
Answers
Answer:
y = x -7
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - (-2) / 2 - 5
-3/-3
1
y = x + b
-2 = 5 + b
-7 = b
y = -7
y = x -7
Find the volume of a frustum of a right circular cone with height 25, lower base radius 29 and top radius 11.
Answers
Thus, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.
The frustum of a right circular cone is a three-dimensional shape that is formed by cutting off the top of a cone with a plane parallel to the base.
To find the volume of the frustum, we need to use the formula for the volume of a frustum, which is given by:
V = (1/3)πh(R^2 + r^2 + Rr)
where V is the volume of the frustum, h is the height of the frustum, R is the radius of the lower base, and r is the radius of the top base.
In this case, the height of the frustum is 25, the radius of the lower base is 29, and the radius of the top base is 11. So, we can substitute these values into the formula and simplify:
V = (1/3)π(25)(29^2 + 11^2 + 29*11)
V = (1/3)π(25)(841 + 121 + 319)
V = (1/3)π(25)(1281)
V = (1/3)(25π)(1281)
V = 10,677.54
Therefore, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.
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 find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equation in point slope form
Answers
=====================================================
Parallel lines have the same slope.
So if the given line has a slope of 3, then the line parallel to it has the same slope (3)
Now, let's write the equation of the line in Point-Slope Form.
Remember, point-slope form looks like so:-
\(\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}\)
Where
y₁ is the y-coordinate of the point that the line passes through
m is the slope
x₁ is the x-coordinate of the point that the line passes through
In this case,
y₁ is equal to -8
m is equal to 3
x₁ is equal to 1
Plug in the values:
\(\longrightarrow\sf{y-(-8)=3(x-1)}\)
Simplify:
\(\longrightarrow\sf{y+8=3(x-1)}\)
and we're done!
=========================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
assessment involves selecting and utilizing of data collection. group of answer choices multiple observations multiple tests multiple methods multiple techniques
Answers
The correct option is- C. multiple methods . Several data collection techniques must be chosen and used in assessment.
Explain about the multiple method in assessment:In order to measure student learning, different measures are used. This information is gathered at various times and reviewed both within and between subject areas. Here, colleges use two or more evaluation and placement criteria. Transcripts from high school or college, surveys of attitudes, and interviews are a few examples of multiple measures.
The use of multiple measures is the process of evaluating a student's abilities using more than one evaluation tool. Not only should student learning be measured, but also demographics, viewpoints, and operational aspects of the institution. A school's registration, enrollment, grade level, ethnicity, gender, and native language are all examples of demographic data, whereas a student's, parent's, or teacher's perception of a classroom is known as perception data.Thus, Several data collection techniques must be chosen and used in assessment.
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Correct question:
assessment involves selecting and utilizing _______of data collection. group of answer choices-
A. multiple observations
B. multiple tests
C. multiple methods
D. multiple techniques
ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP
Answers
Answer:
Its the second option
Step-by-step explanation:
11. If a point on a circle has a cos of theta equals 12/13 AND tan of theta is less than zero, then sin of theta equals 5/13 true or false?
Answers
True
Explanation
Step 1
\(\cos \theta=\frac{adjacent\text{ side}}{\text{hypotenuse}}\)
then
\(\begin{gathered} \cos \theta=\frac{adjacent\text{ side}}{\text{hypotenuse}}=\frac{12}{13} \\ \\ \frac{adjacent\text{ side}}{\text{hypotenuse}}=\frac{12}{13} \\ \text{adjacent side=12} \\ \text{hypotenuse}=13 \end{gathered}\)
Step 2
find y,use Pythagoras theorem
\(\begin{gathered} a^2+b^2=c^2 \\ 12^2+y^2=13^2 \\ y^2=13^2-12^2 \\ y^2=25 \\ \sqrt[]{y^2}=\sqrt[]{25} \\ y=5 \end{gathered}\)Step 3
find sine of theta
\(\begin{gathered} \sin \text{ }\theta=\frac{opposite\text{ side}}{\text{hypotenuse}} \\ \text{replace} \\ \sin \text{ }\theta=\frac{y}{13} \\ \sin \text{ }\theta=\frac{5}{13} \end{gathered}\)so, the answer is
TRUE
I hope this helps you
PLEASE ANSWER THIS QUESTION I WILL GIVE BRAINLIEST!!!
Find the value of x in this case-
Answers
Already answered here: https://brainly.com/question/26946183
Can someone help me with this please!
Answers
Answer:
The correct answer would be A!
Answer:
Answer is A
Step-by-step explanation:
Hope it helps!
tell whether x and y are in a proportional relationship if also write an equation that represents the relationship. for all for give a different explanation 20 points question
Answers
Answer: Two quanties are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio. ... inversely proportional: y is inversely proportional to x of y=k/x.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
Answers
x-1 = 4/3 . 6
x = 24/3 + 1 = 9
32/24 = (y+1)/21
y+1 = 4/3 . 21
y = 84/3 - 1 = 25
The value of x is given from proportion and x = 9
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first polygon and second polygon be similar
So , the ratio of their corresponding sides will also be similar
Substituting the values in the equation , we get
( x -1 ) / 6 = 16 / 12 be equation (1)
On simplifying the equation , we get
Multiply by 6 on both sides of the equation , we get
( x - 1 ) = ( 16 x 6 ) / 12
( x - 1 ) = 16 / 2
On simplifying the equation , we get
x - 1 = 8
Adding 1 on both sides of the equation , we get
x = 9
And ,
( y + 1 ) / 21 = 32 / 24 be equation (2)
On simplifying the equation , we get
Multiply by 21 on both sides of the equation , we get
( y + 1 ) = ( 4 x 21 ) / 3
y + 1 = 4 x 7
y + 1 = 28
Subtracting 1 on both sides of the equation , we get
y = 27
Hence , the value of x is 9
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2(3v-5)=2(v-11)-4 can someone help me out ?
Answers
Answer:
v = -4
Step-by-step explanation:
2(3v - 5) = 2(v - 11) - 4
6v - 10 = 2v - 22 - 4
+10 +10
6v = 2v -12 - 4
-2v -2v
4v = -16
divide both sides by 4
v = -4
Hope this helps!!
The value of v = - 4.
We have the following equation -
2(3v - 5) = 2(v - 11) - 4
We have to find out the value of the variable v.
What is the solution of a equation in one variable?The solution of an equation is the value of variable for which the left hand side is equal to right hand side.
We have the following equation -
2(3v - 5) = 2(v - 11) - 4
2 x 3v - 2 x 5 = 2v - 2 x 11 - 4
6v - 10 = 2v - 22 - 4
6v - 10 = 2v - 26
6v - 2v = - 26 + 10
4v = -16
v = - 4
Hence, the value of v = - 4.
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triangle qrs is similar to triangle xyz . the measure of ∠x is 75° and the measure of ∠q is equal to 5(n−3)° . which is the value of n
Answers
The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.
1. First, find the value of n by using the equation 5(n - 3) = 75 + 3
2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.
3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.
The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.
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Please give the proof process: 2n3 + 3n +10 = Q( n³).
Answers
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin, find cos 0.
cos =
✓[?]
[]
Simplify the fraction.
Answers
The simplified measure in this problem is given as follows:
cos(θ) = 4/5.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Considering the sine and the cosine of angles, we have that:
sin²(θ) + cos²(θ) = 1.
The sine for this problem is given as follows:
sin²(θ) = 3/5.
Hence the cosine is obtained as follows:
(3/5)² + cos²(θ) = 1
9/25 + cos²(θ) = 1
cos²(θ) = 25/25 - 9/25
cos²(θ) = 16/25
cos(θ) = 4/5.
Missing InformationThe problem is given by the image presented at the end of the answer.
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![The Pythagorean Identity states that:(sin x)2 + (cos x)2 = 1Given sin, find cos 0.cos =[?][]Simplify](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/BV2kCm0ddfSXJ888sUIvS6rHZfvhcPxU.png)
rewrite each sum in the form a(b+c) using the distributive property and the gcf 6+22
Answers
6 + 2 2 = 2 ( 3 + 11 )
60 + 25 = 5 ( 12 + 5 )
2x+3y = 1 and 7x+2y = -22 by elimination
Answers
The solution to the given system of linear equations 2x + 3y = 1 and 7x + 2y = -22 by elimination is (-4, 3). That is, x = -4 and y = 3.
Solving system of linear equations by elimination methodFrom the question, we are to solve the given system of linear equation by the elimination method.
To solve the system of equations 2x + 3y = 1 and 7x + 2y = -22 by elimination, we can multiply the first equation by 2 and the second equation by -3 to eliminate the x variable:
(2)(2x + 3y = 1) ⇒ 4x + 6y = 2
(-3)(7x + 2y = -22) ⇒ -21x - 6y = 66
Adding the two resulting equations gives:
-17x = 68
Dividing both sides by -17 gives:
x = -4
Now we can substitute this value of x into one of the original equations to solve for y. Let's use the first equation:
2x + 3y = 1
2(-4) + 3y = 1
-8 + 3y = 1
3y = 9
y = 3
Hence, the solution is x = -4 and y = 3
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for time, , in hours, , a bug is crawling at a velocity, , in meters/hour given by use to estimate the distance that the bug crawls during this hour. use left- and right-hand riemann sums to find an overestimate and an underestimate. then average the two to get a new estimate.
Answers
The distance, which is determined by integrating the velocity function over the specified time interval, is calculated as 2.98 and 2.58.
We will use left Riemann sum and right Riemann sum to obtain an overestimate and an underestimate. The definite integral, which in this case is a distance, can also be approximated using the average of these estimates.
1 ) The distance the bug crawls obtained by integrating the velocity function v(t) = 4/1+t over the inclined time interval is
\(\int\limits^1_0 \, \frac{4}{1+t} dt.\)
Splitting the interval [0, 1] into sub intervals of length Δt = 0.2, we get the Riemann sum L and the right Riemann sum R:
L = ∑⁴ v(ti) Δt
L = (0.2) (v(0) + v(0.2) + v(0.4) + v(0.6) + v(0.8))
L ≈ 2.98
R = ∑⁵ v(ti) Δt
R = (0.2) (v(0.2) + v(0.4) + v(0.6) + v(0.8) + v(1.0))
R ≈ 2.58
2 )The average of these two Riemann sums gives us a new estimate for the distance :
AVG = (2.98 + 2.58)/2
=2.78.
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answer to 2x - 5 = 7 ??
Answers
Answer:
6
Step-by-step explanation:
2x - 5 =7
2x =7 +5
2x=12
x=12 :2
x=6
Divide the product of 6 and 5 by the quotient of 12 and 4
pls help! what is the expression??
Answers
Answer:
Let variable y be the unknown number. So triple a number means 3y. The difference (use minus symbol) of triple a number and 5 should be written as 3y −5.
Answer:
the product of 6 and 5 is 30. the quotient of 12 and 4 is 3. so, divide 30 by 3. your answer is 10!
Step-by-step explanation:
Have a great day!
find 3 values of x and y that satisfy the equation y = 3x - 2
Answers
Answer:
x = 1, y = 1
x = -2, y = -8
x = 3, y = 7
Step-by-step explanation:
What type of variable is required to construct a confidence interval for a population​ proportion?.
Answers
A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes. So the correct option is D.
In the given question we have to find what type of variable is required to construct a confidence interval for a population proportion.
As we know that;
Population proportion is the percentage of the entire population that possesses the given quality (which is qualitative in nature). The confidence interval for the population proportion must thus be constructed using a qualitative variable with two possible outcomes.
So, the correct option is identified from nature of different type of the variables. A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes.
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The right question is:
What type of variable is required to construct a confidence interval for a population proportion?
A. Quantitative
B. Qualitative with any number of possible outcomes
C. Continuous
D. Qualitative with 2 possible outcomes
E. Discrete
F. Qualitative with 3 or more possible outcomes
Andre rents beach chairs and umbrellas to tourists visiting the beach. On one Saturday, he has 150 customers. If he rents 125 chairs and 72 people rent both chairs and umbrellas, how many people rent umbrellas
Answers
There are 97 people who rent umbrellas.
Step 1: Find the number of people who rent only chairs.
Since there are 72 people who rent both chairs and umbrellas, there must be 125 - 72 = 53 people who rent only chairs.
Step 2: Find the total number of people who rent only chairs or only umbrellas.
Since there are 150 customers in total, there must be 150 - 72 = 78 people who rent either only chairs or only umbrellas.
Step 3: Find the number of people who rent only umbrellas.
Since we know that 53 people rent only chairs from Step 1, there must be 78 - 53 = 25 people who rent only umbrellas.
Step 4: Find the total number of people who rent umbrellas.
Since there are 72 people who rent both chairs and umbrellas and 25 people who rent only umbrellas, there are 72 + 25 = 97 people who rent umbrellas.
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Netflix stockholders' income in the first month is believed to
follow a normal distribution having a standard deviation of $2,500.
A random sample of 16 shareholders is taken. Find the probability
tha
Answers
The probability that the sample standard deviation is less than $1,500 for a random sample of 16 Netflix stockholders' income in the first month is approximately 0.004.
To find the probability, we need to use the chi-square distribution and the chi-square test statistic.
The chi-square test statistic for sample standard deviation follows a chi-square distribution with (n-1) degrees of freedom, where n is the sample size.
In this case, the sample size is 16, so the degrees of freedom is 16-1 = 15.
We need to calculate the chi-square value corresponding to a sample standard deviation of $1,500.
The chi-square value can be calculated using the formula:
chi-square = (n-1) * (s²) / (σ²)
where n is the sample size, s² is the sample variance, and σ² is the population variance.
Given that the population standard deviation is $2,500 and the sample standard deviation is $1,500, we can calculate the chi-square value.
Using the chi-square distribution table or statistical software, we can find the probability associated with the calculated chi-square value.
Calculating the result:
chi-square = 15 * (1500²) / (2500²) ≈ 5.4
probability = P(X < 5.4) ≈ 0.004
Therefore, the likelihood that the sample standard deviation for a sample of 16 Netflix investors' income in the first month is less than $1,500 is around 0.004.
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Complete question:
Netflix stockholders' income in the first month is believed to follow a normal distribution having a standard deviation of $2,500. A random sample of 16 shareholders is taken. Find the probability that the sample standard deviation is less than $1,500.
Which of the following is a factor of 6x^3 + 6?
Answers
Answer:
x + 1
Step-by-step explanation:
Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)
On a cold day, the temperature in a certain city changed −23.8°F over 6.8 hours. What was the average change in temperature per hour? Enter your answer as a decimal in the box.
Answers
Answer:
-2.5 :3
Degrees Farenheit!
Step-by-step explanation:
k12
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~Happy Helper~
Based on the temperature change and the amount of time it did so, the average change in temperature per hour is -3.5°F.
The average change in temperature per hour can be found by:
= Temperature change / Number of hours
Solving would give:
= -23.8 / 6.8
= -3.5°F
We can therefore conclude that in every hour of this cold day, the temperature changed by an average of -3.5°F.
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