Plz answer if u really know it thanks so much
It is known that the variance of a population equals 3,600. A random sample of 225 has been selected from the population. There is a 0.95 probability that the sample mean will provide a margin of error of _____. a. 7.84 or less b. 31.36 or less c. 3,600 or less d. 470.4 or less
The given variance of a population equals 3,600. the answer probability is (a) 7.84 or less.
There is a 0.95 probability that the sample mean will provide a margin of
Variance
(σ²) = 3600
Sample size
(n) = 225
Confidence interval = 0.95
Probability = 0.95.
For a 0.95
probability,
α = 1 - 0.95
= 0.05/2
= 0.025
(using the Z-table)
Now, z0.025 = 1.96
Margin of error (E) = z0.025 *
(σ/√n)E = 1.96 * (60/15
)E = 7.84
(a) 7.84 or less
Since we have calculated the margin of error (E) by using the formula of margin of error
.E = 1.96 * (σ/√n)
= 1.96 * (60/15)
= 7.84 or less.
Therefore, the answer is (a) 7.84 or less.
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Kyra was at soccer practice. she blocked 55% of the goals that were kicked at her during a team drill. ashley scored two of the 18 goals that were made during the drill. how many total kicks were attempted
Answer-
Total kicks that were attempted = 40
Explanation
Goals blocked by Kyra = 55%;
Goals which could not be blocked by Kyra = 100 - 55 = 45%
Goals made during team drill = 18
Let total kicks attempted be 'n';
Therefore;
(18/n) × 100 % = 45 %
18/n = 45/100;
n = 1800/45;
n = 40
The time period "percentage" is derived from the Latin per centum, which means "hundred" or "with the aid of the hundred".[5][6] The sign for "percentage" evolved via gradual contraction of the Italian term in line with cento, which means "for 100". The "according to" turned into regularly abbreviated as "p."—subsequently disappeared completely. The "cento" was reduced in size to two circles separated through a horizontal line, from which the present day "%" image is derived.
In mathematics, a percentage (from Latin: in line with centum, "by a hundred") is quite a number or ratio expressed as a fraction of 100. it's miles often denoted using the percentage signal, "%",[1] although the abbreviations "pct.", "pct" and sometimes "pc" also are used.[2] A percentage is a dimensionless number (natural wide variety); it has no unit of size.
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Favorite days of the week Monday 55% Tuesday 45% 4) If 220 people were surveyed, how many more people voted for Monday than for Tuesday?
Answer: 22
Step-by-step explanation:
Ok, so the way I do it I multiply then divide.
For Monday I did: ?/220=55/100. what you would do is multiply across then divide by the other number, so 220x55 which is 12100 then you will divide it by 100. So 121 people voted on Monday
For Tuesday: Using the same method. ?/220=45/100 you will multiply 45x220 giving you 9900 then you will divide by 100 giving you 99. 99 people voted on Tuesday.
So to find the DIFFERENCE you need to subtract, so 121-99 leaving you with 22. Also, if you are confused how on where I got 100 from you put the percentage over 100, because percentages go from 0%-100% so you put the partial percentage over the maximum (100)
3] Question 5 Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j – sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve r(t) = n* i + t}j + tcos atk, 15t52. Calculate the scalar line integral of the vector field. F. dr. F.dr.
Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)
Now we calculate the partial derivatives as follows,
∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...
and,
∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0
Therefore,
∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j
The curl of F is given by:
(cos(xy) - xy sin(xy)) i - sin(z)j.
To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:
r(t) = n* i + t}j + tcos atk, 15t52.
The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t
= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt
= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1
= sin(a) sin(n) - (a/2) cos(2a)
The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).
The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).
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(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
Which statement best describes how accurate she can expect her prediction to be?
Her prediction will probably be close to the actual value.
Her prediction will be unlikely to be close to the actual value.
Her prediction will be somewhat likely to be close to the actual value.
Her prediction will very likely be close to the actual value.
Answer:
Her prediction will be somewhat likely to be close to the actual value.Step-by-step explanation:
A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.
Her prediction will be somewhat likely to be close to the actual value.
We have given that,
Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
We have to determine the correct statement.
What is the correlation coefficient?The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.
A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak.
Therefore, the right answer is C.
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6 times a number less 2
Answer:
6n-2
is this what you needed??,
1.03 solving compound inequalities
8 – 6x < −28 or 9x + 5 < −31
The solution of the inequalities is x > 6 or x < -4
How to solve compound inequalities?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.
8 – 6x < −28 or 9x + 5 < −31
collect like terms and solve for x in both inequalities:
For 8 – 6x < −28:
8 – 6x < −28
-6x < -28 - 8
-6x < -36
-x < -36/6
-x < -6
x > 6
For 9x + 5 < −31:
9x + 5 < −31
9x < -31 - 5
9x < -36
x < -36/9
x < -4
Thus, the solution is x > 6 or x < -4
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A bag contains 20 coloured marbles. Copy and
complete the table below to show the probability of
picking each colour at random and the number of
each colour marble in the bag. What is the
probability, as a percentage (%), of picking a purple
marble at random? How many purple marbles are in
the bag?
Colour
Yellow
Blue
Green
Purple
Probability
10%
15%
Number of marbles
6
The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measures are 2.5 deg and 177.5 deg.
Step-by-step explanation:
The ratio of the measures of larger angle to the smaller angle is 71:1.
71k + k = 180
72k = 180
k = 180/72
k = 2.5
71k = 71 * 2.5 = 177.5
Answer: The measures are 2.5 deg and 177.5 deg.
Someone please help me thank you
Answer:
6 and 3
Step-by-step explanation:
6 · 3 = 18
6 + 3 = 9
1) A reverse bungee jump can be modeled by the function f(x)= -60x^2 + 120x. Find the maximum height.
2) The amount of hamsters that a pet shop has is counted every month for a year. The results can be modeled by the function f(x)= 0.139x^3 - 2.5x^2 + 11.8x + 9. Find the maximum number of hamsters and the minimum number of hamsters.
3) what is the inverse function of f(x)= (x-3)^3 + 1
The maximum number of hamsters is f(6.92) = 98, and the minimum number of hamsters is f(3.08) = -3. The inverse function of f(x) is given by `f^-1(y) = (y-1)^(1/3) + 3`.
1) The maximum height of the reverse bungee jump can be determined using the vertex formula of a quadratic function, which is given by the formula `x = -b/2a`.
Using this formula, the x-coordinate of the vertex is x = -b/2a = -120/(-120) = 1. Therefore, the maximum height occurs when x = 1. To find the maximum height, substitute x = 1 into the function f(x): `f(1) = -60(1)^2 + 120(1) = 60`. Therefore, the maximum height is 60.
2) The maximum and minimum number of hamsters can be found using calculus. The maximum or minimum of a cubic function occurs at a critical point, which is a point where the derivative of the function is zero or undefined. To find the critical points of the function f(x), we need to find its derivative, which is given by the function `f'(x) = 0.417x^2 - 5x + 11.8`. Setting this function equal to zero and solving for x, we get: `0.417x^2 - 5x + 11.8 = 0`. Using the quadratic formula, we get `x = 6.92` and `x = 3.08`.
To determine whether these are maximum or minimum points, we need to find the second derivative of the function f(x), which is given by the function `f''(x) = 0.834x - 5`. At x = 6.92, we have `f''(6.92) = -0.67`, which is negative, so this is a maximum point. At x = 3.08, we have `f''(3.08) = 0.83`, which is positive, so this is a minimum point.
Therefore, the maximum number of hamsters is f(6.92) = 98, and the minimum number of hamsters is f(3.08) = -3.
3) To find the inverse function of f(x), we need to solve for x in terms of y. To do this, we can use the following steps:
y = (x-3)^3 + 1
y-1 = (x-3)^3
(x-3)^3 = y-1
x-3 = (y-1)^(1/3)
x = (y-1)^(1/3) + 3
Therefore, the inverse function of f(x) is given by `f^-1(y) = (y-1)^(1/3) + 3`.
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the price of a sweater was reduced from $20 to $12. by what percentage was the price of the sweater reduced?
A.8% B.80% C.60% D.40%
PLEASE HELP ME!!!!
Answer:
40%
Step-by-step explanation:
The original is $20. It is now 12/20 is ?/100
12*100=1,200/20=60 100-60=40%
Answer:
D. 40%
Step-by-step explanation:
ConceptsPercent ChangePercent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is \(\frac{FV-IV}{IV} * 100 = PC\). Keep in mind percent change is not negative, but can be written as 40% decrease or 40% increase.
FV = Final ValueIV = Initial ValuePC = Percent Change (%)ApplicationHow Does this Apply Here?We are being asked to find the percent change, or the change in the price of the sweater from $20 to $12. Thus, we will have to use the aforementioned formula. $20 is the initial value and $12 is the final value.
SolvingSolving for Percent Change
Step 1: Plug in values.
\(\frac{12-20}{20} * 100\)Step 2: Simplify.
\(\frac{8}{20} * 100\) \(800/20\) \(40\)Therefore, the answer is D. 40%.
Linda is training for a half marathon. She ran
3 34 miles Monday, 3 miles Tuesday, and 2 12 miles Wednesday. How many miles did she
run in those three days?
Answer:
8 14
Step-by-step explanation:
I NEED ANSWERS!! QUESTION 13
Answer: i dont know sorry
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
an item is regularly priced at $60 off the regular price. How much (in dollars) is discounted from the regular price?
Is it possible to ride a bike 200 miles in 13 hours
Answer:
no
Step-by-step explanation:
because even going back to back it would take you about one or two days
How do you write a quotient with a fraction?
The quotient with a fraction is a whole number and a fraction.
What is a fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The number that is used to divide a number is known a divisor.
The number that needs to divide by a number is known a dividend.
The number which gets after performing the division is known as quotient.
The remainder is the number that the divisor leaves after partially dividing the original integer.
After division, if a remainder left, then the quotient is a mixed number.
If 25 divide by 3, then the quotient is 8 and remainder is 1.
Quotient = quotient +( Remainder/ divisor)
= 3 + (1/3)
\(=3\frac{1}{3}\)
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3. The mean of five positive numbers is 4. When another number is added, the mean becomes 8. Find the number added.
the answer
Answer:
28
Step-by-step explanation:
mean is when you add all the numbers divide it by the amount of terms
So to find the sum of the terms we just multiply 5 by 4
20 is the sum and since the mean is 8 with 6 terms we multiply those also
8x6
48 and to find the number we subtract 48 by 20
48-20
28
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convert 9472 gram in kilogram
Answer:
9.472 kilograms
Step-by-step explanation:
suppose that you are rolling a six sided dice. let a = even what is p(ac)?
Answer:
1/2
Step-by-step explanation:
When you roll a 6-sided die, there are 6 possible outcomes:
1, 2, 3, 4, 5, 6
3 of the outcomes are even, and 3 of the outcomes are odd.
p(A) = p(even) = 3/6 = 1/2
p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2
Complete the statement. 400 mm = ___ cm
Answer:
40 cm
Step-by-step explanation:
divide the length value by 10
400 / 10 = 40
Answer:
400 mm = 40 cm
Step-by-step explanation:
Problem 3
The bill at dinner was $58.24 before tax and tip.
There is a 6% sales tax. After the tax, an 18% tip is
added.
What is the total including tax and tip?
Answer:
$62.bope this helpsjensbdnd
There are 11 kids at a birthday party. If there are 6 girls and 5 boys at the party, whta fractof the kids are boys?
Answer:
Step-by-step explanation: The answer is 5/11.
Hello!
Fraction of boys = Number of boys / Total kids
Fraction of boys = \(\boxed {\frac{5}{11}}\)
11 POINTS! GEOMETRY!! Find the area of the composite function and explain how you broke the shape into pieces to find the area.
Answer:
370 mm²
Step-by-step explanation:
The area of this figure can be calculated by taking the whole figure as a full rectangle, and consider the part that is cut out from the middle of the shape as another rectangle.
Find the area of the cut-out part and subtract from the area of the full rectangular shape to get the area of the composite figure.
=>Area of full rectangular shape:
Length = 30 mm
Width = 15 mm
Area = L * B = 30*15 = 450 mm²
=>Area of the cut-out Rectangle part:
Length = 10 mm
Width = 8 mm
Area = 10*8 = 80 mm²
=>Area of composite figure = 450 mm² - 80 mm² = 370 mm²
Find the solution to the system
of equations. y=2x+3 y=-x
Answer:
X=-1, y=1
Step-by-step explanation:
- x=2x+3
-3x=3
X=-1
Y=-1*-1=1
Match The Calculated Correlations To The Corresponding Scatter Plot. R = 0.49 R - -0.48 R = -0.03 R = -0.85
Matching the calculated correlations to the corresponding scatter plots:
1. R = 0.49: This correlation indicates a moderately positive relationship between the variables. In the scatter plot, we would expect to see data points that roughly follow an upward trend, with some variability around the trend line.
2. R = -0.48: This correlation indicates a moderately negative relationship between the variables. The scatter plot would show data points that roughly follow a downward trend, with some variability around the trend line.
3. R = -0.03: This correlation indicates a very weak or negligible relationship between the variables. In the scatter plot, we would expect to see data points scattered randomly without any noticeable pattern or trend.
4. R = -0.85: This correlation indicates a strong negative relationship between the variables. The scatter plot would show data points that closely follow a downward trend, with less variability around the trend line compared to the case of a moderate negative correlation.
It's important to note that without actually visualizing the scatter plots, it is not possible to definitively match the calculated correlations to the scatter plots. The above descriptions are based on the general expectations for different correlation values.
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Find a sinusoidal function with the following four attributes: (1) amplitude is 10, (2) period is 5, (3) midline is y = 31, and (4) ƒ(3) = 41. f(x) = =
The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:
f(x) = A * sin(Bx + C) + D
where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.
Amplitude: The given amplitude is 10. So, A = 10.
Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.
Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.
f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:
41 = 10 * sin(2π/5 * 3 + C) + 31
10 * sin(2π/5 * 3 + C) = 41 - 31
10 * sin(2π/5 * 3 + C) = 10
sin(2π/5 * 3 + C) = 1
To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.
2π/5 * 3 = π/2 - C
6π/5 = π/2 - C
C = π/2 - 6π/5
Now we have all the values to construct the sinusoidal function:
f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31
Simplifying further:
f(x) = 10 * sin(2π/5 * x - 2π/10) + 31
f(x) = 10 * sin(2π/5 * x - π/5) + 31
Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
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1) A 14.24 pound bag of cheese is split among
5 pizzas. How much cheese is on each pizza?
Answer:
2.848 pound
Step-by-step explanation:
On 5 pizzas = 14.24 pound cheese
On 1 pizza = 14.24/5 pound
=2.848 pound
"I think of a number multiply if by itself and add 4 to the result"
Answer:
Step-by-step explanation:
let the number be x
x multiplied by x = \(x^{2}\)
Adding 4 to the result
= \(x^{2}\) + 4
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