When we make estimates of or draw conclusions about one or more characteristics of a population based upon the sample, we are using the process of statistical inference.
To estimate this sample to sample variance or uncertainty is the goal of statistical inference.What is the purpose of statistical inferences ?
To be able to make inferences about a population based on data from a sample is the goal of statistical inference. The process of statistical inference involves selecting a sample, gathering data from that sample, calculating a statistic from the data, and drawing conclusions about the population from that statistic.How is statistical inference used to draw conclusions?
Estimation and hypothesis testing are components of statistical inference (evaluating a notion about a population using a sample) (estimating the value or potential range of values of some characteristic of the population based on that of a sample).
Learn more about statistical inference
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If the graph of f(x)=x2, how will the graph be affected if it is changed to f(x)=3x2?
There will be a vertical stretch with a factor of 3.
A binomial distribution has a mean of = 12 for a sample of n = 60. what is the value of p?
Value of p is 0.5.
Given
Mean of a binomial distribution np = 12
Sample n = 60
The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.
To calculate the mean of a binomial distribution B(n, p) we need to multiply the number of trials n by the probability of successes p,
mean = n × p .
Value of p:
np = 12
(60) p = 12
p = 12/60
p = 1/2
p = 0.5
Value of p is 0.5.
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Find the area of the shaded region
Step-by-step explanation:
Since the circle is inside the square, we can subtract its area from the squares area.
the squares area can be found by multiplying the height and width
[tex]8^2=64[/tex]
now to find the area of the circle we use
[tex]A=\pi r^2[/tex]
the radius is 4.
assuming pi=3.14
your answer is 50.24.
Find the volume of the triangular prism below if B = 12 cm, h = 8 cm, and L = 27 cm.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{Formula \rightarrow \dfrac{1}{2} \times \bold{b}ase\times\bold{h}eight\times \bold{l}ength}[/tex]
[tex]\mathsf{Your\ equation\ should\ look\ like\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]
[tex]\mathsf{Solving\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]
[tex]\mathsf{ \dfrac{1}{2}\times12\times8\times27}[/tex]
[tex]\mathsf{= \dfrac{1}{2}\times\dfrac{12}{1}\times\dfrac{8}{1}\times\dfrac{27}{1}}[/tex]
[tex]\mathsf{= \dfrac{1\times12\times8\times27}{2\times1\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{12\times8\times27}{2\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{96\times27}{2\times1}}[/tex]
[tex]\mathsf{= \dfrac{2,592}{2}}[/tex]
[tex]\mathsf{= 2.592\div2}[/tex]
[tex]\mathsf{= 1,296}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ C.\ }\frak{1,296\ cm^3}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Which equation represents the explicit formula for a constant velocity arithmetic sequence?
A. xₙ = x₁+(n-1)(v•△t)
B. xₙ = x₁+(n+1)(v/△t)
C. xₙ = x₁+(n+1)(v•△t)
D. xₙ = x₁+(n-1)(v/△t)
The equation which represents the explicit formula for a constant velocity arithmetic sequence is; Choice A; xₙ = x₁+(n-1)(v•△t).
Which equation among the answer choices represents the explicit formula for a constant velocity arithmetic sequence?It follows from convention that an arithmetic sequence is usually defined by an expression of the form;
T(n) = T(1) + (n-1)×d in which case, d = common difference.
Consequently, in the event that the velocity in discuss is constant, it follows that the required expression is; Choice A; xₙ = x₁+(n-1)(v•△t).
Therefore, xₙ = x₁+(n-1)(v•△t) represent the equation for explicit formula for a constant velocity arithmetic sequence.
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A rhombus is a four-sided figure with all sides the same length.
Points F(22, 22), G(22, 3), and H(2, 6) are three vertices of
rhombus FGHJ. Vertex J is directly below vertex H.
a. Graph rhombus FGHJ. Label J with its coordinates.
b. What is the perimeter of the rhombus? Show your work.
The perimeter of the rhombus FGHJ is 20 units
How to graph the rhombusThe coordinates are given as:
F = (-2, -2)
G = (-2, 3)
H = (2, 6)
From the question, we understand that vertex J is directly below vertex H.
This means that vertices H and J have the same x coordinate.
So, we have
J = (2, y)
The distance between F and G is 5 units,
So, we have
J = (2, y - 5)
Where
y = 6 i.e. the y coordinate of H
This gives
J = (2, 6 - 5)
Evaluate
J = (2, 1)
See attachment for the graph of the rhombus
The perimeterIn (a), we have:
The distance between F and G is 5 units,
This means that
FG = 5
The side lengths of a rhombus are equal.
So, the perimeter is
P = 4 * FG
This gives
P =4 * 5
Evaluate
P = 20
Hence, the perimeter of the rhombus is 20 units
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Of the songs in ivan's music library, 4/5 are rock songs. of the rock songs, 3/4 feature a guitar solo. what fraction of the songs in ivan's music library are rock songs that feature a guitar solo?
In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.
What are fractions?That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).
When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).
We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top and bottom × bottom
4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.
= (4 × 3)/(5 × 4)
= 12 / 20
= 3 / 5
Therefore, the correct answer is 3/5.
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Please helppp!! i will hand brainlist and 19 points aswell thank you :)
I am not sure but when I calculated answer is √52...........
Answer:
[tex]\sqrt{52}[/tex]
Step-by-step explanation:
You would use the Pythagorean Thereon to find the answer.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] You can You can draw a right triangle from the two points. One way you could do this is draw a line straight down from N and stop when you get down to N'. Then continue drawing the line horizontally until it gets to N'. Connect N' to N and will have drawn a right triangle.
The vertical height of your triangle would be the difference of you y values and the horizontal distance would be the difference between your x values.
9 - 3 = 6
6 - 2 = 4
[tex]6^{2}[/tex] + [tex]4^{2}[/tex] =[tex]c^{2}[/tex]
36 + 16 = [tex]c^{2}[/tex]
52 = [tex]c^{2}[/tex]
[tex]\sqrt{52}[/tex] = c
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer: y ≥ [tex]\frac{3}{2}[/tex]x + 3
Step-by-step explanation:
Since the shaded area is above the line, we will use either > or ≥ for our inequality.
Next, since this is a solid line we will use the ≥ symbol for our inequality. This means the answer is the first option.
Pls help with middle school math (2 questions in photo)
Question 8
Part (a)
The gradient is the coefficient of x after isolating y.
[tex]3x+y=15 \\ \\ y=\boxed{-3}x+15 [/tex]
Part (b)
The line crosses the y-axis when x=0. So, the line crosses tne y-axis at (0,15).
By similar logic, the answers to Question 9 are:
(a) -3
(b) (0, -4.5)
Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?
Charles' weight = Edith's weight + 20% of Edith's weight
We'll use a variable to represent Edith's weight, x.
The decimal form of 20% is 0.2.
60 = x + 0.2x
60 = 1.2x
x = 50
Edith's weight is 50kg.
Hope this helps!
what is coefficient of x in 5x-3y
Answer:
Hey there!
Step-by-step explanation:
This is ur answer...
The coefficient of 5x-3y is 5.Hope it helps!
Brainliest pls!
Have a good day!^^
❄ Hi there,
the coefficient of a variable is a number multiplied by that variable; it can be any real number.
∴,
[tex]\hfill\stackrel{\textbf{coefficient of x}}{5}[/tex]
[tex]\hfill\stackrel{\textbf{coefficient of y}} {-3}[/tex]
That's it.
❄ [tex]\small\pmb{Frozen \ melody}[/tex]
how many rectangles of different sizes can be formed from 36 identical rectangles
Answer:
i think answer is 5
Step-by-step explanation:
since you could think what are factors of 36
1x36
2x18
3x12
4x9 and
6x6
9 m
Not drawn to scale
Find the volume of the triangular prism.
6 m
6m
Answer:
162 m³Step-by-step explanation:
Volume of the prism is the product of the area of the base and the height of prism.
First, we need to find the area of its triangular base:
A = bh/2 = 9*6/2 = 27 m²Now we can find the volume:
V = 27*6 = 162 m³Area of base
1/2BH1/2(9)(6)9(3)27m²Volume
Area of base×Height27(6)162m³A six-sided die is rolled. What is the probability of rolling a four or an odd number?
Answer:
2/3 or 66%
Step-by-step explanation:
there are 3 odd numbers on a 6 sided die
3 + 1 = 4
4/6 = 2/3
How do you solve this geometry question?
The statement that <A > <C and <B > <D has been proved
How to prove that <A > <C and <B > <D?In geometry, the side length opposite the largest angle is the longest side.
Similarly, the side length opposite the smallest angle is the shortest side.
From the given figure of quadrilateral, we have the following sides in increasing order:
Side length ABSide length BCSide length ADSide length CDThe angles opposite the side lengths are:
Angle DAngle BAngle CAngle AThis means that:
<A > <C and <B > <D
Hence, the statement that <A > <C and <B > <D has been proved
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Mr Lim had a bag of sweets. After giving each pupil 7 sweets, he had 4 sweets left. If he had given only 5 sweets to each pupil, he would have 4 sweets left. If he had given only 5 sweets to each pupil, he would have 80 sweets left.
i.How many pupils were there in the class?
ii. How many sweets did Mr Lim have?
Solving a system of equations we can see that there are 270 sweets and 38 pupils.
How many pupils and sweets are there?
Let's define the variables:
P = number of pupils.
S= number of sweets.
With the given information, we can write:
7*P + 4 = S
5*P + 80 = S
So we have a system of equations, now we can write:
7*P + 4 = S = 5*P + 80
Solving that for P:
7*P + 4 = 5*P + 80
7*P - 5*P = 80 - 4
2*P = 76
P = 76/2 = 38
There are 38 pupils, and the number of sweets is given by:
S = 7*P + 4 = 7*38 + 4 = 270
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18
An open-faced box is to be constructed by cutting squares out of the corners of a 7in by 7in
sheet of tin and folding up the sides. Which of the following describes the surface area of such
a box? (Let h represent the side length of the cut out squares. * (5 Points)
O The surface area of the box is given by (7 - 2h)² + 4h (7-2h) in².
The surface area of the box is given by 2(7 - 2h)² + 4h² in².
O The surface area of the box is given by h(7 - 2h)² in².
O The surface area of the box is given by 4(7-2h)² + h² in².
O I don't know.
Answer:
a
Step-by-step explanation:
S.A for open-faced box= lb + 2(bh+lh)
= (7-2h)(7-2h) + 2[h(7-2h)+h(7-2h)]
= (7-2h)² + 2[2h(7-2h)]
= (7-2h)² + 4h(7-2h) in²
There are 61 boxes of pencils in a store there are 14 pencils in each box how many pencils are in the store
SinA=√1-x÷√1+X
Find the value of cosA
The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
Trigonometric ratios
It is important to note that
sin A = opposite/ hypotenuse
cos A = adjacent/ hypotenuse
Then,
opposite = [tex]\sqrt{1} - x[/tex]
Hypotenuse = [tex]\sqrt{1} + x[/tex]
Let's find the adjacent side using the Pythagorean theroem
[tex](\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2[/tex]
[tex]1 + x^2 = 1 - x^2 + x^2[/tex]
[tex]x = \sqrt{\frac{1 + x^2}{1 -x^2} }[/tex]
cos A = x/hypotenuse
[tex]cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}[/tex]
cos A = √(1 + x²)/ (1 - x²) /√1 + x
Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
B) x-intercept: (6, 0)
y-intercept: (0, 7)
Step-by-step explanation:
Given equation: [tex]7x + 6y = 42[/tex]
What are the x- and y-intercepts?
The x-intercept is the point where the line intersects the x-axis. In short, it is when y = 0 — [tex](x, y) \Rightarrow (x, 0)[/tex]. The y-intercept is where the line intersects the y-axis, which is when x = 0 — [tex](x, y) \Rightarrow (0, y)[/tex].
Find the x-intercept (by substituting 0 for y):
[tex]\\\implies 7x + 6y = 42\\\\\implies 7x + 6(0) = 42\\\\\implies 7x = 42\\\\\implies \dfrac{7x}{7}=\dfrac{42}{7}\\\\\implies \boxed{x=6}[/tex]
Coordinate: [tex](6, 0)[/tex]
Find the y-intercept (by substituting 0 for x):
[tex]\\\implies 7x + 6y = 42\\\\\implies 7(0) + 6y = 42\\\\\implies 6y = 42\\\\\implies \dfrac{6y}{6}=\dfrac{42}{6}\\\\\implies \boxed{y=7}[/tex]
Coordinate: [tex](0, 7)[/tex]
Question 2 of 10 Based only on the information given in the diagram, it is guaranteed that PQR~ STU.
A. True B. False
please!? thanks!
The given statement is false because the triangles may not be identical if their corresponding angles are genuinely different.
What is the triangle?Three sides, three vertices, and three angles make up a triangle. A triangle's three interior angles are always added up to 180 degrees. A triangle's two longest sides are always longer than its third side. A triangle with the vertices P, Q, and R symbol is △PQR.Based only on the information given in the diagram, it is guaranteed that PQR~ STU:
Two right triangles, ΔPQR and ΔSTU—are shown in the illustration with their right angles at ∠P and ∠S, respectively.
It is also demonstrated that TU = 12 units and QR = 6 units.
Because we only provided one set of congruent angles, we are unable to apply the A postulate of similarity to it.
Additionally, since there is only one pair of comparable sides, we are unable to determine whether they are proportionate.
The statement "based purely on the information presented in the diagram, it is assumed that triangle PQR triangle STU" is False because the triangles may not be identical if their corresponding angles are genuinely different.
Hence, The given statement is false.
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Pls help I keep getting this wrong
Answer:
x = 8
y = -3
Step-by-step explanation:
Multiply the first equation with (-2)
(-2) * (x - 4y) = 20
-2x + 8y = -40 now find the sum of it with second equation
2x + 5y - 2x + 8y = 1 - 40 add like terms (2x will eliminate -2x)
13y = -39 divide both sides by 13
y = -3
Now we can use this to find the value of x
x - 4y = 20 rewrite the equation using the value we found for y
x - 4(-3) = 20 multiply (-4) and (*3) (product will be positive because we are multiplying two negatives)
x + 12 = 20 subtract 12 from both sides
x = 8
One number chosen randomly from the integers 1 to 20. Find the probability of getting a number that is odd and prime.
Answer:
35%
Step-by-step explanation:
All the prime numbers from 1 to 20 are:
2 3 5 7 11 13 17 19
7 / 20 = 35 / 100 = 35%
How long does it take the wave to travel 6.0 m in the x-direction? 0.13 seconds 0.67 seconds 2.0 seconds 8.0 seconds
It takes the time for the wave to travel 6.0 m in the x-direction of 8s.
What is the wavelength?A wave's wavelength is measured in meters since it is the separation between its two peaks (or troughs). Since waves can be any size or shape, the prefix for meters can vary significantly, from km for radio waves to micrometers for visible light (although it is sometimes stated in nanometers) to picometers for gamma rays..
According to the information:the wavelength is 1.5 m.
λ/2 = 1 s
1.5/2 =1 s
0.75 m in 1 s is travelled by the wave.
To travel 6m , the time required is
= 6/0.75
=8s
Thus,
it takes the time for the wave to travel 6.0 m in the x-direction is 8s.
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what is the answer for 82= $14.00
Answer:
There is no answer
Step-by-step explanation:
82 can not equal $14.00, however if you mean 82x=14.00, the answer will be 0.17 (7/41), and if you mean 82=14x, the answer will be 5.86 (41/7)
if g(x)=4x^2-16 were shifted 9 units to the right and 1 down, what would the new equation be?
The answer is g'(x) = 4x² - 72x + 307.
If shifted 9 units right, substitute (x - 9) in place of x.
g'(x) = 4(x - 9)² - 16If shifted 1 unit down afterwards, subtract 1.
g'(x) = 4(x - 9)² - 16 - 1g'(x) = 4(x - 9)² - 17g'(x) = 4x² - 72x + 324 - 17g'(x) = 4x² - 72x + 307Answer:
h(x)=4(x-9)^2-17
Step-by-step explanation:
two less than y is subtracted from x
Answer: x- (y-2)
Step-by-step explanation:
Two less than y would be y-2,
Then you just subtract it from x
I do not understand the question
Answer: D. 5 choose 3
Step-by-step explanation:
The 'C' stands for Choose
and you read left to right, leaving you with "5 choose 3"
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). 16x3 − 50x2 − 23x − 30 16x3 − 50x2 − 23x 30 16x3 − 30x2 − 23x 30 16x3 50x2 − 23x 30
The correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.To find the correct simplification of the given expression:
The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.The squared term will be the sum of the products of factors whose degrees total 2:[tex](8x)(-5x)+(-5)(2x^{2} )=-40x^{2} -10x^{2} =-50x^{2} =16x^{3} -50x^{2} -23x+30[/tex]Therefore, the correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].
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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)
(A) 16x3 − 50x2 − 23x − 30
(B) 16x3 − 50x2 − 23x + 30
(C) 16x3 − 30x2 − 23x + 30
(D) 16x3 + 50x2 − 23x + 30
