15&16
Minimu Q₁ Median Q3 Maximum m 65 86.5 140 151.5 180 14. From the above information, we can conclude that the percentage of songs in the data set that have more than 140 beats per minute is equal to
Answers
The percentage of songs in the dataset that have more than 140 beats per minute is calculated as:Percentage = (Number of observations with tempo > 140 BPM / Total number of observations in the dataset) × 100Percentage = (1/14) × 100Percentage = 7.14%
To calculate the percentage of songs in the dataset that have more than 140 beats per minute, we need to find the IQR (Interquartile range).IQR = Q3 - Q₁= 151.5 - 86.5= 65So, we need to identify the number of observations in the upper quartile to find out the number of observations in the dataset that have more than 140 beats per minute.Number of observations in the upper quartile = (Total number of observations + 1)/ 4= (14+1)/4= 3.75≈ 4The upper quartile contains the fourth observation in the dataset which is equal to 151.5.Therefore, 4 observations are there in the upper quartile from the total 14 observations. Now, we need to count the number of observations that have a tempo of more than 140 beats per minute in the upper quartile.The total number of observations that have a tempo of more than 140 beats per minute in the upper quartile is 1.The percentage of songs in the dataset that have more than 140 beats per minute is calculated as:Percentage = (Number of observations with tempo > 140 BPM / Total number of observations in the dataset) × 100Percentage = (1/14) × 100Percentage = 7.14%
The given dataset has five values: minimum (m), Q1, median, Q3, and maximum (m) values. The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). In this case, Q1 and Q3 are 86.5 and 151.5 respectively. Thus, IQR = 151.5 – 86.5 = 65.To find the percentage of songs that have more than 140 beats per minute, we first have to calculate the number of observations that have a tempo of more than 140 beats per minute in the upper quartile. Since the upper quartile contains four observations, we have to determine the fourth observation, which is 151.5 in this case. After that, we have to count the number of observations that have a tempo of more than 140 beats per minute in the upper quartile. Only one observation is there that has a tempo of more than 140 beats per minute in the upper quartile. Therefore, the percentage of songs that have more than 140 beats per minute can be calculated as follows:Percentage = (Number of observations with tempo > 140 BPM / Total number of observations in the dataset) × 100Percentage = (1/14) × 100Percentage = 7.14%
Thus, we can conclude that the percentage of songs in the dataset that have more than 140 beats per minute is 7.14%.
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Related Questions
Which equation represents a proportional relationship?
y=1/2x
y=-3x +2
y= Зх
y=2(x+1/3)
Please help! (Posted on 12/8)
Answers
Marta tried to find the median age from the following frequency table, which shows the ages of their younger cousins. However, they made a mistake. Median
Answers
Answer:
its D ( the last question)
Step-by-step explanation:
i guessed and got it right!
Marta made a mistake, it could be that they did not calculate the Cumulative frequencies correctly, or they did not arrange the ages in order before finding the median
Since the table is not provided, we do not have the exact ages and frequencies to calculate the median. However, we can explain the concept of median and what could have gone wrong with Marta's calculation.
The median is the middle value in a set of data when the values are arranged in order. To find the median from a frequency table, we need to first calculate the cumulative frequencies. The cumulative frequency for a particular age is the sum of the frequencies for that age and all the ages that come before it. Once we have the cumulative frequencies, we can find the median by locating the middle value. If the total frequency is even, the median is the average of the two middle values.
If Marta made a mistake, it could be that they did not calculate the cumulative frequencies correctly, or they did not arrange the ages in order before finding the median. Alternatively, it's possible that there was an even number of observations, and Marta did not take the average of the two middle values. Without more information, it is difficult to determine what exactly went wrong with Marta's calculation.
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Describe the relationship between the angles!! HELP ME PLZ
Answers
Answer:
1. alternate exterior angles
2. co-interior angles
3. corresponding angles
4. alternate interior angles
5. corresponding angles
6. co-interior angles
Can someone help me? After I figure out the sequence i have to write the formula. please help.
5/6, 2/3, 1/2, 1/3,...
Answers
Rewrite the fractions to have a common denominator to find the difference:
2/3 = 4/6
Difference = 4/6-5/6 = -1/6
Sequence formula = an = a1 + d(n-1)
A1 is the first term 5/6
And d = -1/6
Sequence = 5/6 -1/6(n-1)
Simplify to get an =(-n +6)/6
Pankaj borrows rupees 57,000 to buy a used car and is charged the rate of interest 6% per annum. if the term of his borrowing is 4 years, how much interest does he pay?
Answers
Rs.13680 is the answer.
Step-by-step explanation:-
Given-
•Principal (P) = Rs.57,000
•Rate (r%) = 6%
\(→ \frac{6}{100} \)
\(→ 0.06\)
•Time (n) = 4 years
Applying Interest formula,
\(→In=P \times R \times T\)
\(→57,000 \times 0.06 \times 4\)
\(→Rs.13680\)
Hence, the interest is Rs.13680
I need to know the answer to this question
Answers
Answer:
what is the question...............?
what is the last name of the inventor of the pi symbol?
Answers
Answer:
William Jones
Step-by-step explanation:
WILL GIVE 200 POINTS TO FIRST WHO ANSWER CORRECTLY!
Answers
Take two points
(4,40)(5,50)Slope:-
\(\\ \sf\longmapsto m=\dfrac{50-40}{1}=10\)
Equation in point slope form
\(\\ \sf\longmapsto y-40=10(x-4)\)
\(\\ \sf\longmapsto y=10x\)
Or
f(x)=10xAnswer:
Take two points(4,40)(5,50)Slope:-Equation in point slope formOrf(x)=10x
Step-by-step explanation:
At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years
Answers
Answer:
after working for at least 10 1/4 years
Step-by-step explanation:
After working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
What is the formula to solve quadratic equation?A quadratic equation, \(ax^{2} +bx+c=0\) is solved by
\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
Given function \(f(x)=x^4-10x^2+10000\)
Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)
\(x^4-10x^2+10000-20000=0\)
\(x^4-10x^2-10000=0\)
Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)
\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)
\(x^2=\frac{10 \pm 200.2}{2}\)
\(x^2=5 \pm 100.1\)
\(x^2=105.1\)
\(x=\sqrt{105.1}\)
\(x=10.25\)
Hence, after working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
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In circle D, which is a secant?
G
F
С
Н
Оооо
В 12 13
E
В
Answers
Answer:
GH
Step-by-step explanation:
A secant is a straight line which cuts the circle at 2 points
GH and FE both do this but FE is a special secant, that is the diameter
Then GH is a secant
Please help me with this question!!!!!
Answers
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
a polar curve =() has parametric equations =()cos() and =()sin(). t
Answers
The given polar curve can be represented by the parametric equations x = rcos(t) and y = rsin(t), where r is the distance from the origin to a point on the curve and t is the angle between the positive x-axis and the line segment connecting the origin to that point.
To express the polar curve in terms of the polar coordinate system, we can use the equation r = f(theta), where r is the distance from the origin to a point on the curve and theta is the angle between the positive x-axis and the line segment connecting the origin to that point.
Using the parametric equations x = rcos(t) and y = rsin(t), we can see that:
r = sqrt(x^2 + y^2)
tan(t) = y/x
Therefore, we can express the polar curve as r = f(theta) by eliminating t from the equations:
r = sqrt(x^2 + y^2)
tan(t) = y/x
tan(t) = sqrt(y^2/x^2)
tan(t)^2 = y^2/x^2
1 + tan(t)^2 = (x^2 + y^2)/x^2
(x^2 + y^2)/x^2 = 1/sec(t)^2
(x^2 + y^2)/x^2 = sec(t)^2
(x^2 + y^2)/r^2cos(t)^2 = sec(t)^2
(x^2 + y^2)/r^2 = 1/cos(t)^2
r^2 = x^2 + y^2 = f(theta)^2cos(theta)^2
r = f(theta) = sqrt(x^2 + y^2)/cos(t)
Therefore, the polar curve can also be expressed as r = f(theta) = sqrt(x^2 + y^2)/cos(t) or r = f(theta) = sqrt(x^2 + y^2)/cos(theta).
We can then eliminate t from the equations to express the polar curve in terms of r and theta.
The resulting equation is r = f(theta), where f(theta) is some function of theta that describes the shape of the curve.
Finally, we can rewrite the equation in terms of x and y to get a better understanding of the shape of the curve.
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There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 5/12. There are 40 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be
Answers
Answer: the total number of milk chocolate is 6
Step-by-step explanation:
Compute the flux of F⃗ =3(x+z)i⃗ +2j⃗ +3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane
Answers
It seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.
To compute the flux of the vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane, we can use the surface integral.
The surface integral of a vector field F⃗ over a surface S is given by the formula:
∬S F⃗ · dS = ∬S F⃗ · (n⃗ dS)
where F⃗ is the vector field, dS is the differential area vector, and n⃗ is the unit normal vector to the surface.
In this case, the surface S is given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0. We can parameterize this surface as:
r(x, z) = xi⃗ + yj⃗ + zk⃗ = xi⃗ + (x^2+z^2)j⃗ + zk⃗
To find the normal vector n⃗ to the surface, we can take the cross product of the partial derivatives of r(x, z) with respect to x and z:
n⃗ = ∂r/∂x × ∂r/∂z
= (1i⃗ + 2xj⃗) × (0i⃗ + 2zj⃗)
= -2xz i⃗ + 2zj⃗ + 2xk⃗
Now, we can calculate the flux:
∬S F⃗ · (n⃗ dS) = ∬S (3(x+z)i⃗ + 2j⃗ + 3zk⃗) · (-2xz i⃗ + 2zj⃗ + 2xk⃗) dS
= ∬S (-6x^2z - 4xz + 6xz^2 + 6xz) dS
= ∬S (-6x^2z + 2xz + 6xz^2) dS
To evaluate this integral, we need to determine the limits of integration for x, y, and z.
Since the surface is defined by 0≤y≤16, x≥0, z≥0, we have:
0 ≤ y = x^2 + z^2 ≤ 16
Simplifying the inequality, we get:
0 ≤ x^2 + z^2 ≤ 16
From this, we can see that x and z both range from 0 to 4.
Now, we can evaluate the flux:
∬S (-6x^2z + 2xz + 6xz^2) dS = ∫∫ (-6x^2z + 2xz + 6xz^2) dA
where dA is the differential area.
Integrating over the limits 0 ≤ x ≤ 4 and 0 ≤ z ≤ 4, we can calculate the flux.
However, it seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.
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determine the angular velocity of the gear and the velocity of its center o at the instant shown
Answers
For the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.
To determine the angular velocity and the velocity of the center 'O' of the gear at the given instant, you will need to follow these steps:
Step 1: Identify the relevant information.
First, gather information about the gear, such as its radius, the speed at which it is rotating, and any other relevant details. To determine the angular velocity of the gear and the velocity of its center at the instant shown, we need to know the radius of the gear and the speed of its rotation. The angular velocity of the gear can be calculated by dividing the speed of rotation by the radius of the gear. The velocity of the center of the gear can be calculated by multiplying the angular velocity by the radius of the gear.
Step 2: Calculate the angular velocity.
Angular velocity () can be calculated using the formula = v / r, where 'v' is the linear velocity at the edge of the gear and 'r' is the radius of the gear.
Step 3: Find the linear velocity at the edge of the gear.
This can typically be given or can be determined based on the information provided.
Step 4: Calculate the angular velocity.
Plug the values of linear velocity (v) and radius (r) into the formula = v / r to find the angular velocity.
Angular velocity = (speed of rotation) / (radius of gear)
Velocity of center = (angular velocity) x (radius of gear)
Step 5: Determine the velocity of the center 'O'
Since the center 'O' of the gear is the point around which the gear rotates, its velocity is 0, as it does not move linearly.
In summary, to find the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.
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Let f: C\ {0,2,3} → C be the function
f(z): = 1/z+1/(z-2)² + 1/z- 3
(a) Compute the Taylor series of f at 1. What is its disk of convergence? (7 points) (b) Compute the Laurent series of f centered at 3 which converges at 1. What is its annulus of convergence?
Answers
The disk of convergence is the set of all complex numbers z such that the absolute value of z - 1 is less than the radius of convergence.
The Taylor series of the function f(z) at 1 is given by:
f(z) = f(1) + f'(1)(z - 1) + f''(1)(z - 1)²/2! + f'''(1)(z - 1)³/3! + ...
To find the coefficients of the Taylor series, we need to compute the derivatives of f(z) at 1.
f(z) = 1/z + 1/(z - 2)² + 1/(z - 3)
Taking the derivatives:
f'(z) = -1/z² - 2/(z - 2)³ - 1/(z - 3)²
f''(z) = 2/z³ + 6/(z - 2)⁴ + 2/(z - 3)³
f'''(z) = -6/z⁴ - 24/(z - 2)⁵ - 6/(z - 3)⁴
Evaluating these derivatives at 1:
f(1) = 1/1 + 1/(1 - 2)² + 1/(1 - 3) = 1 - 1 + 1/2 = 1/2
f'(1) = -1/1² - 2/(1 - 2)³ - 1/(1 - 3)² = -1 - 2 + 1/4 = -7/4
f''(1) = 2/1³ + 6/(1 - 2)⁴ + 2/(1 - 3)³ = 2 + 6 + 1/8 = 61/8
f'''(1) = -6/1⁴ - 24/(1 - 2)⁵ - 6/(1 - 3)⁴ = -6 - 24 + 3/16 = -210/16
Plugging these values into the Taylor series formula:
f(z) ≈ 1/2 - (7/4)(z - 1) + (61/8)(z - 1)²/2! - (210/16)(z - 1)³/3! + ...
The disk of convergence of this Taylor series is the set of complex numbers z for which the series converges.
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Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle
Answers
need the answer
Find (3x+7)2 .
Answers
Answer:
9x² + 42x + 49
Step-by-step explanation:
Identity
(x + a)² = x² + 2ax + a²In this case, x = 3x and a = 7, so substitute the values.
(3x + 7)²(3x)² + 2(3x)(7) + (7)²9x² + 42x + 49Answer:
\(9x^2 + 42x + 49\)
Step-by-step explanation:
Step 1: Factor out the expression
\((3x + 7)^2\)
\((3x + 7)(3x + 7)\)
\((3x * 3x) + (3x * 7) + (7 * 3x) + (7 * 7)\)
\(9x^2 + 21x + 21x + 49\)
\(9x^2 + 42x + 49\)
Answer: \(9x^2 + 42x + 49\)
The standard length of a piece of cloth for a bridal gown is 3.25 meters. A customer selected 35 pcs of cloth for this purpose. A mean of 3.52 meters was obtained with a variance of 0.27 m2 . Are these pieces of cloth beyond the standard at 0.05 level of significance? Assume the lengths are approximately normally distributed
Answers
The pieces of cloth are beyond the standard at 0.05 level of significance.
We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.
The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:
H0: μ = 3.25
The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:
Ha: μ > 3.25
We can calculate the test statistic as:
t = (x - μ) / (s / √n)
where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).
Plugging in the values, we get:
t = (3.52 - 3.25) / (0.52 / √35) = 3.81
Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.
Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.
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the daily supply of oxygen for a particularmulticellular organism is provided by 625sq ft of lawn. A total of 4,375 sq ft of lawn would provide the daily supplies of oxygen for how many organisms?
Answers
7 organisms
Explanation:Area of lawn that supplies oxygen for a particular multicellular organism = 625 sq ft
Total area of the lawn = 4,375 sq ft
Number of organisms = 4375/625
Number of organisms = 7
A total of 4,375 sq ft of lawn would provide the daily supplies of oxygen for 7 organisms
find the number of units of natural gas that are to be produced to maximize the profit if….
Answers
We are asked to determine the maximum value of "x" for a profit function given the functions of revenue and cost. To do that let's remember that profit is defined as:
\(\text{Profit}=\text{revenue - cost}\)Let P(x) be the function of profit, then the difference between the functions of revenue and cost is the function of profit, therefore:
\(P(x)=R(x)-C(x)\)Replacing the functions we get:
\(P(x)=162x-2x^2-(x^2+114x+2)\)Now we apply the distributive property in the parenthesis:
\(P(x)=162x-2x^2-x^2-114x-2\)Adding like terms:
\(P(x)=48x-3x^2-2\)Now, to determine the maximum profit we will determine the derivative of the profit function with respect to "x":
\(\frac{dP}{dx}=\frac{d}{dx}(48x-3x^2-2)\)Now we distribute the derivative on the left side:
\(\frac{dP}{dx}=\frac{d}{dx}(48x)-\frac{d}{dx}(3x^2)-\frac{d}{dx}(2)\)Now we determine the derivative using each corresponding rule:
\(\frac{dP}{dx}=48-6x\)Now we set the result to zero:
\(48-6x=0\)Now we solve for "x" first by subtracting 48 from both sides:
\(-6x=-48\)Now we divide both sides by -6:
\(x=-\frac{48}{-6}=8\)Now, since the original function is a parabola that opens downwards, this point must be a maximum. To verify that we can determine the second derivative and we get:
\(\frac{d^2P}{dx^2}=\frac{d}{dx}(48-6x)=-6\)Since the second derivative is smaller than zero, the point is a maximum as hypothesized. Therefore, the maximum value of "x" is 8.
6 numbers form an arithmetic sequence with a common difference of 4. THe sum of these numbers equals 12. What are the 6 numbers.
Answers
Answer: See explanation
Step-by-step explanation:
We will use the formula for an arithmetic sequence which will be:
a + (n - 1)d
where a = unknown
n = 6
d = 4
We then slot them into the formula
a + (6 - 1)4 = 12
a + 5(4) = 12
a + 20 = 12
a = 12 - 20
a = -8
The 6 numbers are
1st term = -8
2nd term = -8 + 4 = -4
3rd term = -4 + 4 = 0
4th term = 0 + 4 = 4
5th term = 4 + 4 = 8
6th term = 8 + 4 = 12
PLEASE HELP!!!
The line plots show the number of kilometers that Jen and Denisha biked each week for 10 weeks.
Based on the data, who is more likely to ride a greater distance in the eleventh week? Move a word to each blank to complete the sentence. ____ is more likely to ride a greater distance because the ____ of her data is greater ^image
Jen
Mean
Mode
Denisha
Range
Answers
Answer: first blank: jen
second blank: mean
Step-by-step explanation:
N/A
Piscine is replacing the paving stones around her inground pool. Her pool is 10 m
by 5 m, and is surrounded by a 1. 5 m border of paving stones.
a) How many square metres of paving stones will she need in total?
b) If each paving stone is 25 cm by 40 cm, in theory, how many paving stones
will she need?
c) Will your answer in part b) actually be enough? Try fitting the stones in the
space to see whether Piscine can complete the border with exactly that
number of stones, or whether there will be waste, requiring some extras.
Answers
If Her pool is 10 m by 5 m and is surrounded by a 1. 5 m border of paving stones. Therefore, Piscine will need a total of 104 square meters of paving stones.
a) The area of the pool plus the surrounding border of paving stones can be calculated as follows:
Total area = (length + 2 x border width) x (width + 2 x border width)
Total area = (10 + 2 x 1.5) x (5 + 2 x 1.5)
Total area = 13 x 8
Total area = 104 square meters
Therefore, Piscine will need a total of 104 square meters of paving stones.
b) We need to convert the dimensions of each paving stone to meters:
25 cm = 0.25 m
40 cm = 0.4 m
The area of each paving stone is:
0.25 m x 0.4 m = 0.1 square metres
The number of paving stones required can be calculated by dividing the total area by the area of each paving stone:
Number of paving stones = Total area / Area of each paving stone
Number of paving stones = 104 / 0.1
Number of paving stones = 1040
In theory, Piscine will need 1040 paving stones.
c) To determine whether the answer in part b) will be enough, we need to see if we can fit the paving stones into the available space without any gaps. We can arrange the paving stones in rows, with each row containing 10 stones (since the width of the pool is 5 m and the width of each paving stone is 0.4 m).
There will be 26 rows of paving stones around the pool (since the length of the pool plus the two borders is 13 m and the length of each paving stone is 0.25 m). Therefore, the total number of paving stones required is: 26 rows x 10 stones per row = 260 stones
Since the number of paving stones required is less than the number calculated in part b), Piscine will have enough paving stones to complete the border around her pool without any waste.
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Quadrilateral Abcd is similar to quadrilateral efgh. Find the measure of the side fog round your answer to the nearest tenth if necessary
Answers
In general, if two quadrilaterals are similar, it means that their corresponding angles are congruent and their corresponding sides are in proportion.
we would need to know the length of at least one side of EFHG or the scale factor between the two quadrilaterals to find the length of any of its sides.
what is quadrilaterals?
A quadrilateral is a polygon with four sides and four vertices (corners). The sum of the interior angles of a quadrilateral is always 360 degrees.
There are many different types of quadrilaterals, each with their own properties and characteristics. Some of the most common types of quadrilaterals include:
Square: A quadrilateral with four congruent sides and four right angles.
Rectangle: A quadrilateral with four right angles.
Rhombus: A quadrilateral with four congruent sides.
Parallelogram: A quadrilateral with opposite sides parallel.
Trapezoid: A quadrilateral with exactly one pair of parallel sides.
Quadrilaterals are commonly used in geometry and in real-world applications such as construction, architecture, and design.
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In a large city, 70% of people own a cell phone. A sociologist wishes to study the impact cell phones have on society. To get started, the sociologist randomly samples 45 people in the city. Use a calculator to find the probability that of those 45 people sampled, between 33 and 36 of them own a cell phone
Answers
The probability that of those 45 people sampled, between 33 and 36 of them own a cell phone is 0.2413
How to solve for the probabilityWe have to solve for the probability that of those 45 people sampled, between 33 and 36 of them own a cell phone
The standard deviation is given as
\(s = \sqrt{} \frac{P(1-p)}{n}\)
where we have p = proportion = 70% = 0.7
q = 1 - p
= 1 - 0.7
= 30 % = 0.3
s = \(\sqrt{\frac{0.7(1-0.7}{45} }\)
= 0.07
we are to find the interval of
P(33 ≤ x ≤ 36)
this would be written as
(33 / 45 - 0.70) / 0.07 < z < (36 / 45 - 0.70) / 0.07)
p(0.49 < z < 1.46)
we have to find the critical values of p(z < 0.49) and p(z < 1.46)
= 0.9284 - 0.68721
= 0.2413
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A knowledge of statistics helps us make decisions based on ______ evidence. a. possible b. empirical c. unobserved d. logical
Answers
It also aids in the identification of key variables and trends, as well as the reduction of data to specific correlations or relationships.To summarize,A knowledge of statistics helps us make decisions based on empirical evidence.
A knowledge of statistics helps us make decisions based on empirical evidence.What is Statistics?Statistics can be described as the method of collecting, analyzing, interpreting, and presenting data. In order to make accurate decisions based on data, it is necessary to comprehend statistics. Data analysis is simplified with statistics, and data visualization is improved. It also aids in the identification of key variables and trends, as well as the reduction of data to specific correlations or relationships.To summarize,A knowledge of statistics helps us make decisions based on empirical evidence.
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Warm-up time is 60 minutes and practice is 20% of that what is 20% of 50?
Answers
20% of 50 is 10. 20% of 50 is 10. Warm-up time is 60 minutes and practice is 20% of that.
Solution:
Given, Warm-up time = 60 minutes
Now, Practice is 20% of Warm-up
time= (20/100) × 60= 12 minutes
Thus, 20% of Warm-up time is 12 minutes.
So, 20% of 50 is:
20% of 50 = (20/100) × 50= 10
Hence, 20% of 50 is 10. 20% of 50 is 10.
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a spherical snowball is melting in such a way that it maintains its shape. the snowball is decreasing in volume at a constant rate of 8 cubic centimeters per hour. at what rate, in centimeters per hour, is the radius of the snowball decreasing at the instant when the radius is 10 centimeters? (the volume of a sphere of radius r is v
Answers
Answer:
\(\frac{2}{75\pi}\)
Step-by-step explanation:
\(V=\frac{4}{3} \pi r^3 \\ \\ \frac{dV}{dt}=3\pi r^2 \frac{dr}{dt} \\ \\ -8=3\pi (10)^2 \frac{dr}{dt} \\ \\ \frac{dr}{dt}=-\frac{2}{75\pi}\)
Which of the following can tell us the variation of data within a group of samples? (Check all correct options)
a. T-value
b. Variance
c. Standard deviation
d. Mean
Answers
Variance and Standard deviation can tell us the variation of data within a group of samples.
What is a variance?
Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.
In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.
A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.
What is Standard deviation?
The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.
It is used in statistics to measure how tightly a set of data is clustered around its mean.
What is Mean?
The average value of a group of numbers is referred to as the mean.
It is calculated by adding all of the numbers together and then dividing by the total number of numbers.
What is T-value?
The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.
The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.
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