Answer: To calculate the sample mean of a distribution, you add up all the values and divide by the number of values in the sample. The sample mean is also known as the average.
The formula for the sample mean is:
X-bar = (X1 + X2 + ... + Xn) / n
To calculate the sample variance of a distribution, you first need to calculate the sample mean. Then, for each value, you subtract the sample mean and square the result. You add up all these squared differences, and divide the sum by the number of values in the sample.
The formula for the sample variance is:
s^2 = ( (X1 - X-bar)^2 + (X2 - X-bar)^2 + ... + (Xn - X-bar)^2 ) / (n - 1)
It would be helpful to have the sample data, however I cannot complete this task without it.
Please provide me with the data.
Step-by-step explanation:
carmela translates f (x) = x2 to create p (x). If p 9 (x) = f (x+3) -10 sketch the graph
The function p(x) = (x + 3)² is transformed 3 units left along the x-axis.
What are some rules of function transformations?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over the y-axis, (-x, y).
-f(x) = Reflection over the x-axis, (x, -y).
Given, A function f(x) = x².
Now, p(x) = f(x + 3).
p(x) = (x + 3)² and it is a transformed function to the parent function f(x).
Now, The function p(x) = (x + 3)² is transformed 3 units to the left along the x-axis.
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PQ is formed by endpoints P (3, -1) and Q (1, -6). Dilate PQ about the origin by the scale factor - }. What
are the points of the image P'Q'?
Pls help will mark brainlist
Explanation:
Multiply each coordinate, of each point, by the scale factor -1/3. That means for instance x = 3 becomes x = -1, when going from P to P'. Doing this will shrink the image, and there's also a reflection going on due to the negative scale factor.
Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 4 units and to the right 6 units .
Please help !!!!
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Answer: [tex]g(x) = \frac{1}{x-6} - 4[/tex]
This can be written out as g(x) = 1/(x-6) - 4
The "x-6" is in the denominator, while the "-4" is not.
=============================================================
Explanation:
We'll start with the parent function [tex]f(x) = \frac{1}{x}[/tex]
When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).
So we have [tex]h(x) = f(x) - 4 = \frac{1}{x} - 4[/tex] as an intermediate step.
Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".
Therefore, we end up with [tex]g(x) = \frac{1}{x-6} - 4[/tex]
Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.
is x+3=-5y in standard form?
Answer:
Nope
Step-by-step explanation:
Standard form for a linear equation in two variables is [tex]Ax+By=C[/tex] with the terms containing x and y on the left side of the equation and a number on the right side.
[tex]x+3=-5y[/tex]
Subtract 3 from both sides.
[tex]x=-5y-3[/tex]
Add 5y.
[tex]x+5y=-3[/tex]
A cyclist rides his bike at a rate of 30 kilometers per hour. What is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:4.8
Step-by-step explanation:
30/3 x 1.6
What is the simplest form of the radical expression?
4 - v2x+6 v2X
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A town has 1.500 households. The number of people per
household is normally distributed with a mean of 3.67 and
a standard deviation of .34.
Approximately, how many
households have between 3.67 and 4.35 people?
0 510 households
o 945 households
a 715 households
o 660 households
Answer: The question is asking for the number of households that have between 3.67 and 4.35 people, which corresponds to the number of households whose number of people per household falls within one standard deviation of the mean.
A normal distribution is symmetric, so approximately 68% of the data falls within one standard deviation of the mean. So, we can estimate that approximately 68% of the 1,500 households have between 3.67 and 4.35 people.
The calculation is:
1,500 households x 68% = 1,020 households
So, approximately 1,020 households have between 3.67 and 4.35 people.
This is a rough estimate and the actual number may be slightly different, but it can be considered as a good approximation. From the given options, The answer closest to 1,020 is 945 households.
Step-by-step explanation:
almost how many cubes of length 5 cm can be contained in a cuboid of length 20cm, breadth 10 cm,and height 5 cm?find it.
Answer:
volume of a cube=5³cm³
=125 cm³
volume of the cuboid=20×10×5
=1000 cm³
number of cubes=1000/125
=8 cubes
Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear
regression equation for the data to be y= 9.6x + 65.8. What does the 65.8 mean in the context of this equation?
es ))
A)
If they studied 0 hours they would earn a 65.8.
B)
The lowest grade of his five friends was a 65.8.
The lowest grade they could receive on the test was a 65.8.
D)
For every hour they studied their grade would go up 65.8 points
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
Sketch the angle in standard position and draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle and closer to the given angle than any other coterminal angle. Give the quadrant of the angle, if applicable. -90°
The measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively.
Given that angle is - 90°.
For the coterminal angles that are closer to -90° than any other coterminal angle, consider angles that have the same initial and terminal sides as -90°.
Since -90° is in the fourth quadrant, look for angles that also fall in the fourth quadrant.
One positive coterminal angle in the fourth quadrant would be 270°.
This angle is closer to -90° than any other coterminal angle in the fourth quadrant.
One negative coterminal angle in the fourth quadrant would be -450°.
This angle is also closer to -90° than any other coterminal angle in the fourth quadrant.
So, the measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively, both in the fourth quadrant.
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15% 40% as whole numbers
Answer: Not possible
Step-by-step explanation: A whole number is an integer or a number without fractions. Both 15% and 40% are less than 1 since they are less than 100%; therefore, it is impossible to express them as whole numbers. They can only be expressed as the mixed numbers of 0.15 and 0.4, or 15/100 and 40/100.
7. Write the standard form of the
the foci.
equation of the ellipse shown in the following graph. Identify
On solving the provided question we cans ay that - equation of ellipse is given by (x2/a2) + (y2/b2) = 1.
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
distance of the focus from the centre of the ellipse is given by the equation c = √(a2 – b2).
equation of ellipse is given by (x2/a2) + (y2/b2) = 1.
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Solve for x
Pls help
Answer:
x=12
Step-by-step explanation:
As a straight line is equal to 180. Here, we have one angle given, which is 134. So,
w+134=180
w=46
And the sum of all the angles of a triangle is equal to 180.
By adding all the angles,
8x-10+5x-12+46=180
13x-22+46=180
13x+24=180
13x=180-24
13x=156
x=156/13
x=12
Step-by-step explanation:
➝8x-10+5x-12=134
➝8x+5x-10-12=134
➝13x-22=134
➝13x=134+22
➝13x=156
➝x=156/13
➝x=12
3. A box contains 7 Green balls, 5 Red balls, and 3 Blue balls. A ball is randomly selected and its color is noted. Then it is replaced into the same box A second ball is selected randomly and its color is noted. Find the probability of each of these questions: a Selecting 1 Blue ball and 1 Green ball. b. Selecting 1 Red ball and 1 blue ball
Answer:
a. 7/45
b. 1/15
Step-by-step explanation:
15 total balls
a. Selecting 1 Blue ball and 1 Green ball
3/15 * 7/15 = 21/225 = 7/45
b. Selecting 1 Red ball and 1 blue ball
5/15 * 3/15 = 15/225 = 1/15
6 × 4/6 = 24 × 1/6
True
False
Answer:
True
Step-by-step explanation:
6 * 4/6 = 24 /6 = 24 * 1/6 = 4
This is a true statement
Discovery of Trigonometry: #28 What is the length of CA? *
Answer:
sqrt(3)
Step-by-step explanation:
Each side (donated by small letter ) is opposite to its angle for example :
Side c is opposite to angle C which is 90
side b is opposite to angle B which is 60
Need Help With This
Step-by-step explanation:
a) x+20+x+90=180 [sum of 3 angel of triangle]
2x + 110 = 180
2x = 180- 110
2x = 70
x = 70÷2
x = 35
b) 2y + y + y = 180
4y = 180
y = 180÷4
y= 45
c) 4z-30 + 2z = 180
6z = 180 + 30
6z = 210
z = 35
Graph the inequality.
y> -3x²-30x-68
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Answer:
See below
Step-by-step explanation:
Because it's an inequality, the upside-down parabola has dashed lines instead of a sold line. Additionally, only one side of that parabola will contain the solution set, which we can easily figure out by testing a point like (0,0):
[tex]0\stackrel{?}{ > }-3(0)^2-30(0)-48\\0\stackrel{?}{ > }-48\\\\0 > -48 \text{ is true}[/tex]
Hence, the side that contains (0,0) gets shaded. See the graph below.
The circle graph shows how a family budgets its annual income. If the total annual income is $100,000, what amount is budgeted for Clothing? Savings 6% Insurance 11% Auto 14% Clothing 15% Food 18% Leisure 13% Housing 23%
Answer:
Step-by-step explanation:
125,000 x 16% = $20,000
(23%) 28,750 + (8%) 10,000 + (9%) 11,250 + (12%) 15,000 + (16%) 20,000 + (19%) 23,750 + (13%) 16,250 = $125,000
Answer:
15000
Step-by-step explanation:
15/100×100000
=$15000
One of the legs of a right triangle measures 5 cm and the other leg measures 6 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
Measure of Hypotenuse is 7.8 cm.
Step-by-step explanation:
Since the triangle is a right angle, the formula we would use is [tex]a^2 + b^2 = c^2[/tex].
We are looking for the hypotenuse that would be c.
[tex]a^2 + b^2 = c^2[/tex]
[tex]5^2 + 6^2 = c^2[/tex]
[tex]25 + 36 = c^2[/tex]
[tex]61 = c^2[/tex]
[tex]\sqrt{61} = \sqrt{c^2}[/tex]
7.8102 = c
c = 7.8 cm
Write complex number in standard form.
Answer:
it's B
[tex] - \frac{9}{4} + 2i = - \frac{9}{4} - 4i[/tex]
Answer:
C
Step-by-step explanation:
please refer to the sketch
Solve each equation if [tex]f (x) = 2x^{2} - 2[/tex] and [tex]g(x) = 6x + 3[/tex]
hey guys it’s my final! mind helping? 30 points! will mark the brainiest
Help pls :)....................
Answer:
(19,1/2)
Step-by-step explanation:
you can put any number in the x coordinate as long as y is the same .
S= pi^2(b^2-a^2)
b=8
a=10
work out the value of S and give the answer to 3 significant figure
Answer:
S = pi^2 * (8^2 - 10^2)
= pi^2 * (-4)
= -12.57 pi^2
The value of S is approximately -12.57 * pi^2. To express this value to three significant figures, we would round it to -13 * pi^2, which is the same as -12.6 * pi^2. So the final answer is -12.6 * pi^2.
Two sides
Of the x that are multiplied together to get the top number of the x but added together to get the bottom number of the x like 24 too 25 on bottom
As a result, we take the square root of the both sides since if two expressions are equal, then so are their square roots.
What is the definition of the square root?By multiplying the square root of a positive integer by oneself, the number is obtained. As an illustration, 5 is the square root of 25, since 5 × 5 equals 25. Since (5) (5) = 25, 5 is also the square root of 25 as you can see. The symbol, which is, is always used to indicate the square root of a number of a variable x.
Here,
In this case, we're using the square to solve a quadratic equation.
Never forget to use both the negative and positive roots of the equation and to square the values of both sides.
We can accomplish this because to the rule that states that if two expressions are comparable, then their square roots are also equivalent.
As a result, we take the square root of both sides since if two expressions are equal, then so are their square roots.
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Easy Question: Correct = brainliest:
How many 2 digit numbers are multiples of 2 but not 4?
Answer:
23 I thinkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
ehhhhh
Answer:
46
Step-by-step explanation:
Since we are finding multiples of 2, but avoiding multiples of 4, we need to skip 4 from every 2 digit multiple starting from 10 (10, 14, 18, 22, so on...). BUT. I'm not finished yet. The answer is NOT 23. Why? Well, you forgot about the negative 2-digit multiples.
Do the same (Skip NEGATIVE 4 from every 2 digit multiple, but starting from -10, -10, -14, so on...)
Doing this, I found:
46 multiples of 2, but not 4
Multiples:
10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, -98, -94, -90, -86, -82, -78, -74, -70, -66, -62, -58, -54, -50, -46, -42, -38, -34, -30, -26, -22, -18, -14, -10
Which exponential function has an x-intercept?
A.
f(x) = 100x−5 − 1
B.
f(x) = 3x−4 + 2
C.
f(x) = 7x−1 + 1
D.
f(x) = -8x+1 − 3
Answer:
therefore f(x)=100x-5-1 has an x-intercept
3 increased by a
number times 2
The radius of a cylinder is 7 in and the height is 24 in.
Find the Lateral Area.
36011
117611
43411
33611
Lateral Area of a Cylinder=2πrh
= 2 x π x 7 x 24
=336π
Option D