Answer:
30x=48+22×
30x -22x=48
8x=48
x=6
Which of the following statements is true about the Law of Large Numbers (LLN)?The LLN states that the empirical probability that is observed will simulate the theoretical probability that is expected for any finite number of trials, so a simulation or experiment need not have an excessive number of trials.The LLN states that if you simulate or conduct an experiment or simulation enough times the empirical probability observed will always match the theoretical probability that is expected.The LLN states that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability.***The LLN does not apply to probability theory.The LLN is almost always true, but there are special occasions, even when outcomes are random, when the LLN can be broken.
The LLN states that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability.
The Law of Large Numbers (LLN) is a statistical theorem which states that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability. This means that the empirical probability will approximate the theoretical probability as the number of trials increases. Therefore, the statement that is true about the LLN is that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability.
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Simplify. Rewrite the expression in the form x^n (x^2)^{4}
Answer:
x^8
Step-by-step explanation:
(x^2)^{4}
We know a^b^c = a^(b*c)
x^(2*4)
x^8
Answer:
x^8 <33
Step-by-step explanation:
I don't know how to solve this question.
Answer:
P=Q=R
Step-by-step explanation:
Mark me as brainliest
A town has a population of 70,400 and grows at a rate of 4% every year. Which
equation represents the town's population after 4 years?
The equation that represents the town's growth after 4 years is
P = 70,400(1.04)⁴
How to write the exponential functionConsidering the given problem, f(x) = a(b)^x
the starting = a
the base = b
the exponents = x
f(x) = a(b)^x
a = 70,400
r = 4% = 0.04
b (for growth rate) = 1 + r = 1.04
x = 4
substituting the values into the equation
f(x) = a(b)^x
f(x) = 70400(1.04)^4
The base is what determines exponential growth or decay
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what is the arithmetic mean of $\frac{2}{5}$ and $\frac{4}{7}$ ? express your answer as a common fraction.
The arithmetic mean of the two fractions is 68/35.
The arithmetic mean can be calculated using the mentioned formula -
Arithmetic mean = sum of the numbers / frequency of numbers.
Sum of the fractions = 2/5 + 4/7
Performing division of the two numbers
Sum of the fractions = (14 + 20)/35
Sum of the fractions = 34/35
Arithmetic mean = (34/35)/2
Rewriting the average
Arithmetic mean = (34 × 2)/35
Performing multiplication on Right Hand Side of the equation
Arithmetic mean = 68/35
Hence, the Arithmetic mean is 68/35.
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if N=6 and X=1 What is N+X×N+X×X
Answer:
N + X × N + X × X = 6 + 1 × 6 + 1 × 1 = 6 + 6 + 1 = 13
Answer:
13
Step-by-step explanation:
N=6
x=1
N+X×N+X×X
=6+1×6+1×1
=6+6+1
=12+1
=13
Find the 6th term of the geometric sequence whose common ratio is
3
and whose first term is 8
Answer:
T6 = 1 944
Step-by-step explanation:
Tn = a\(r^{n-1}\)
T6 = \(8(3)^{6-1}\)
T6 = 1 944
The circle graph below shows the results of a survey about the number of TV's in a household. If you surveyed 250 households, how many would you predict to have 3 TV's?
Answer: answer
Step-by-step explanation: joe nuts
Nimo thought that the equationy=(x - 2)(x + 14) would match thegraph, but it didn't. Fix it, below!y = (x - 65)(x + 14)
In the given graph, the coordinates of the vertex of the parabola is,
(h, k)=(6, 64)
The given parabola is open downwards.
The vertex form of a parabola openingupwards or downwards is given by,
\(y=a(x-h)^2+k\ldots\ldots(1)\)Here, a is a constant and (h, k) are the coordinates of the vertex of the parabola.
If a>0, parabola opens upwards and if a<0, theparabola opens downwards.
(x,y)=(14,0) is a point on the given parabola. So, put x=14, y=0 h=6 and k=64 in the above equation to find the value of a.
\(\begin{gathered} 0=a(14-6)^2+64 \\ 0=a\times8^2+64 \\ 0=a\times64+64 \\ \frac{-64}{64}=a \\ -1=a \end{gathered}\)Now, put the values of a, h and k in equation (1).
\(\begin{gathered} y=-1\times(x-6)^2+64 \\ =-(x-6)^2+64 \end{gathered}\)Now, rewriting the above equation,
\(\begin{gathered} y=-(x^2-2\times6x+6^2)+64^{} \\ =-(x^2-12x+36)+64 \\ =-x^2+12x-36+64 \\ =-x^2+12x+28 \\ =-(x^2-12x-28) \\ =-(x^2-14x+2x-14\times2) \\ =-(x(x-14)+2(x-14)) \\ =-(x+2)(x-14) \end{gathered}\)Therefore, the equation of parabola is,
\(y=-(x+2)(x-14)\)If x < 5, find Ix - 5l.
Help me please
Answer:
b is you answer hope it helps you
ƒ(x) = −3x² – 20
Find f(-9)
Answer:
f(-9) = -263
Step-by-step explanation:
Hello!
To evaluate the function for f(-9), we simply replace -9 for x in the equation.
Evalute f(-9):\(f(x) = -3x^2 - 20\)\(f(-9) = -3(-9)^2 - 20\)\(f(-9) = -3(81) - 20\)\(f(-9) = -243 - 20\)\(f(-9) = -263\)The value of f(-9) is -263.
No clue how to do this please give answer !
Answer:
either A,B or D
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec
Answer:
42 ft in 6 seconds
Step-by-step explanation:
The person whom walks a greater distance in lees time is faster
The perimeter of an equilateral triangle is 38 centimeters. Find the length of an
altitude of the triangle. Round to the nearest tenth.
Answer:
11.0 cm
P=38 cm
38/3=12.67cm length of one side
Base of triangle = 12.67/2 =6.34 cm
Use formula \(a^2+b^2=c^2\)
\(6.34^2+x^2=12.67^2\\\\=11.0 cm\)
x = altitude of triangle
Round to 1 decimal place
84.74
What is the probability of grabbing a blue marble from a bag that contains 4 black, 5 white, 3 red, and
2 blue marbles?
Answer: 1/7
Step-by-step explanation:
You can add 4+5+3+2 to get 14, and 2/14 can be simplified to 1/7
what is the volume of the sphere? use a=3.14 and round your answer to the nearest hundredth. the sphere is 3 inches?
Answer:
what is the volume of the sphere? use a=3.14 and round your answer to the nearest hundredth. the sphere is 3 inches? V = 113.1
Step-by-step explanation:
V=4/3πr3=4/3·π·3*3≈113.09734
So your volume is = 113.1
Write y-1=4(x-1) in standard form. a x + b y = c
The standard form is 4x- y= 3.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y-1=4(x-1)
Now, writing the above equation in standard form
y- 1 = 4x -4
y = 4x - 4 +1
y= 4x - 3
4x - y = 3
Hence, the standard form is 4x- y= 3.
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Which is a solution to the system of linear inequalities? Select all that apply.
y>-x+3
y> 3x+1
(1,8)
(0,5)
(-2,9)
(0,0)
(-1, 1)
Multiple choice
Among the 5 options given in the question, the coordinates that satisfy the given inequalities are (1,8), (0,5), (-2,9). And the other two , donot satisfy the inequalities, hence (1,8), (0,5), (-2,9) are the required solutions.
What are the solutions to a system of linear inequalities?The solutions to a system of linear inequalities are the coordinates that satisfy all the inequalities in the system. They are the points that are above the lines of the inequalities.
How can we determine if a point is a solution to a system of linear inequalities?To determine if a point is a solution to a system of linear inequalities, we need to substitute the coordinates of the point into each inequality and check if it makes the inequality true. A point is a solution to the system if it makes all the inequalities true.
To check the solutions for the given linear inequallities,
1. y>-x+3
for (1,8) , 8 > -1+3 i.e 8>2 , Hence Satisfied
for (0,5) , 5> -0+3 i.e 5>3, Hence satisfied
for (-2,9) , 9>-(-2) + 3 i.e 9>5, Hence satisfied
for (0,0), 0>-0 +3 i.e 0>3 , Which is false
for (-1,1) , 1 > 1 +3 ,i.e 1>4, which is false
2.y> 3x+1
for (1,8) , 8 > 3*1+1 i.e 8>4 , Hence Satisfied
for (0,5) , 5> 3*0+1 i.e 5>1, Hence satisfied
for (-2,9) , 9>3*(-2) +1 i.e 9>-5, Hence satisfied
for (0,0), 0>3*0+1 i.e 0>1 , Which is false
for (-1,1) , 1 > 3*(-1)+1 ,i.e 1>-2, which is false
Hence the required solutions are (1,8), (0,5), (-2,9) which satisfy the both inequalities.
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Suppose we want to test H0: μ = 30 versus Ha: μ < 30. Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject H0 in favor of Ha?
A) = 28, S = 6
B) = 27, S = 4
C) = 32, S = 2
D) = 26, S = 9
The sample of size 36 provides the strongest evidence to reject H0 in favor of Ha
B) = 27, S = 4.
An testing whether the population mean (μ) is less than 30 based on a sample of size 36. The test statistic commonly used in this scenario is the t-statistic which follows a t-distribution.
The formula for the t-statistic is
t = (X - μ) / (S / √(n))
where:
X is the sample mean
μ is the hypothesized population mean under H0
S is the sample standard deviation
n is the sample size
A smaller t-statistic value indicates stronger evidence against H0 and in favor of Ha.
calculate the t-statistic for each sample result
A) X= 28, S = 6, n = 36
t = (28 - 30) / (6 / √(36)) = -2 / (6/6) = -2
B) X= 27, S = 4, n = 36
t = (27 - 30) / (4 / √(36)) = -3 / (4/6) = -4.5
C) X = 32, S = 2, n = 36
t = (32 - 30) / (2 / √(36)) = 2 / (2/6) = 6
D) X = 26, S = 9, n = 36
t = (26 - 30) / (9 / √(36)) = -4 / (9/6) = -8/3 ≈ -2.67
Comparing the t-statistics, that option B) with t = -4.5 gives the strongest evidence against H0. A more negative t-value indicates a larger deviation from the hypothesized mean of 30, which supports the alternative hypothesis that the true mean is less than 30.
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Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find the volume.
The volume of the cone is 615.44 cm³.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is (1/3)πr²h.
We have,
Slant height l = 14 cm.
Curved surface area of a cone = 308 cm².
This means,
πrl = 308
πr x 14 = 308
πr = 308/14
r = 308/(14π)
r = 7 cm
Now,
Volume = (1/3)πr²h.
l² = r² + h²
l² - r² = h²
h = √(l² - r²)
h = √(196 - 49)
h = √(147)
h = 12 cm
Now,
Volume.
= (1/3)πr²h
= (1/3) x π x r² x h
= (1/3) x 3.14 x 49 x 12
= 615.44 cm³
Thus,
615.44 cm³ is the volume of the cone.
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write a function that represents the number of emergency responses professionals in the town in terms of the towns total population
The exponential growth function will be: y = 4000(1 + 0.04)⁴
How to solve Exponential growth unctions?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
We are given;,
Initial population = 4000
Rate of increase = 4%
Let current population be p.
Let number of years passed be t.
Thus, the exponential growth function will be:
y = 4000(1 + 0.04)⁴
Complete question is;
A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.
Part A
Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.
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Answer:
number of emergency response professionals = 3% of population
e = 0.03p
e is a function of p
e(p) = 0.03p
Step-by-step explanation:
edumentum
A recipe calls for 2/5 cup of sugar for every 3/10 teaspoon of vanilla. What is the unit rate of cups per teaspoon?
Answer:
4/3 cups/tsp
Step-by-step explanation:
You want cups / tsp = 2/5 c / 3/10 tsp = 2/5 * 10/3 c/tsp = 20/15 = 4/3
What does 1.022 represent in the expression?
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:
\(GDP = 11(1.0220)^{t}\)
We can also see that the exponential model formula given by: governs this formula.
\(GDP = 11(1.0220)^{t\)
Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.
The value of b in this instance is provided by:
b = 1.022
And when we calculated r as the growth rate, we obtained:
1.022 = 1 + r
r = 1.022 - 1
r = 0.022
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
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if possible, draw venn diagrams illustrating the following conditions: (a) (a b) (a c), and b c. (b) (a b) (a c), and b c.
We will draw Venn diagrams to illustrate the given conditions: (a) (A ∩ B) ⊆ (A ∩ C) and B ⊆ C, and (b) (A ∩ B) ⊆ (A ∩ C) and B ⊆ C. The Venn diagrams visually demonstrate the relationships between the sets A, B, and C based on the given conditions.
(a) The Venn diagram for condition (a) can be drawn as follows:
-------------
| A |
-------------
| | |
| B | C |
| | |
-------------
Here, A represents the set A, B represents the set B, and C represents the set C. The overlap between A and B is represented by A ∩ B, and the overlap between A and C is represented by A ∩ C. According to the condition, (A ∩ B) is a subset of (A ∩ C), which means that the overlap between A and B is completely contained within the overlap between A and C. Additionally, B is a subset of C, indicating that the set B is completely contained within the set C.
(b) The Venn diagram for condition (b) is similar to the previous one, with the same representation of sets A, B, and C. According to the condition, (A ∩ B) is a subset of (A ∩ C), which means that the overlap between A and B is completely contained within the overlap between A and C. Additionally, B is a subset of C, indicating that the set B is completely contained within the set C.
In both cases, the Venn diagrams visually demonstrate the relationships between the sets A, B, and C based on the given conditions.
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What is the inverse of f(x)=2x^2+4x? Please show work.
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)
\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)
PLS HELP 30 PTS!!!Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
Type your answer in the box.
Note: Type in only numeric part of the answer. Round your answer to the nearest hundredth.
Example: 12.70
Answer:
it says 15 points not 30
Step-by-step explanation:
Answer:
10.30
Step-by-step explanation:
Pythagorean Theorem is \(a^{2}\) + \(b^{2}\) = \(c^{2}\). The short leg(a) is 5 units long and the long leg(b) is 9 units long. CD is the hypotenuse, the longest side (c).
\(5^{2}\) +\(9^{2}\) =\(c^{2}\)
25+81=\(c^{2}\)
106=\(c^{2}\)
\(\sqrt{106}\) = \(\sqrt{c^{2} }\)
10.29563014 = c
Rounded to the nearest hundredth, 10.30
To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.
Zanna’s cousin was born in 1980. If Zanna was born in 1997, how much older, in years, is her cousin?
Answer:
zanna's cousin is 17 years older than zanna
Step-by-step explanation:
Answer:
17 years older
Step-by-step explanation:
1997- 1980 = 17
Algebra please help!
Answer:
(-x+2)(2x+1) — first option
Step-by-step explanation:
The rectangles represent an x, red means negative and yellow is positive.
The squares represent a unit (the number 1).
The diagram attached below demonstrates how this works.
Basically the top row of this tile equation is (-x + 2)
And the column is (2x+1).
Expanding this makes -2x²+3x+2
The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:
Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68
What is the constant of proportionality?
9
17
34
36
Answer:
The answer is a
Its a because 13 times 3 is 39
13 times 4 is 52
and 13 times 5 is 65
Credit to: alizahalder2007