A student answered 76 problems on a test correctly and received a grade of 80%. How many problems were on the test, if all the problems were worth the same number of points?
Answers
Answer:
The total numbers of problems is 95
Step-by-step explanation:
Let the total numbers of problems be x
So, Total no. of problems x is 100%
Correct no. of problems on test = 76
We are given that he received a grade of 80%.
So, Correct no. of problems is 80 i.e. 80%
So, \(\frac{x}{76}=\frac{100}{80}\\x=\frac{100}{80} \times 76\\x=95\)
Hence the total numbers of problems is 95
Related Questions
How many pizzas in the Venn diagram
have ham as an ingredient?
Has ham
Meat feast
Scorcher
Hawaiian
Capricciosa
Has olives
Napolitana
Veggie
Pepperoni
Margherita
Answers
According to the venn diagram, the circle surrounds four pizzas. Ham is present in Meat Feast, Scorcher, Hawaiian, and Capricciosa.
what is Venn diagram ?The Venn diagram, a frequent style of diagram showing logical connections between sets, was made popular by John Venn in the 1880s. Diagrams are used to teach fundamental set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. The relationships between two or more groups of elements are shown in a Venn diagram by overlapping circles and other shapes. When arranging information graphically, it is frequently advantageous to emphasize the similarities and differences between components. The intersection of two large circles forms the central empty area of a Venn diagram.
given
From the image,
ham is an ingredient in Meat feast, Scorcher, Hawaiian, and Capricciosa.
According to the venn diagram, the circle surrounds four pizzas. Ham is present in Meat Feast, Scorcher, Hawaiian, and Capricciosa.
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Help this is a test get the right answers bc I can’t go back and redo it
Answers
Answer:
the answer is 3.136667
Step-by-step explanation:
your welcome
Answer:
The better deal or cheapest one is the \(\frac{47.05dollars}{15gallons}\) and the unit rate is \(\$3.14/gal\)
Step-by-step explanation:
\(\frac{33dollars}{10gallons}=3.30dollars/gallon= \$3.30/gal\) that's the first unit rate \(\frac{47.05dollars}{15gallons}=3.14dollars/gallon= \$3.14/gal\) that's the second unit rateThe best deal or cheapest one is the secondThe population of a town was 25,000 people. Then 3,200 people moved away. What was the percent of decrease?
Group of answer choices
Answers
Answer:
12.8 %
Step-by-step explanation:
(3200)/(25000) *100
please answer asap (look at picture) please answer both
Answers
if the probability that a baby born in a certain hospital will speak in the next day is $1/4$, what is the probability that at least $2$ babies out of a cluster of $5$ babies will speak tomorrow?
Answers
The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.
To calculate the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow, we can use the binomial probability formula. The binomial probability formula is given by:
P(X ≥ k) = 1 - P(X < k) = 1 - ∑(i=k-1)^(n) [C(n, i) * p^i * (1-p)^(n-i)]
Where:
P(X ≥ k) is the probability that X is greater than or equal to k
P(X < k) is the probability that X is less than k
n is the number of trials (number of babies in the cluster) = 5
p is the probability of success (probability that a baby speaks) = 1/4
k is the number of successes we are interested in (at least 2 babies speaking)
Let's calculate the probability using this formula:
P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)]
P(X = 0) = C(5, 0) * (1/4)^0 * (3/4)^(5-0) = 1 * 1 * (3/4)^5 = 243/1024
P(X = 1) = C(5, 1) * (1/4)^1 * (3/4)^(5-1) = 5 * (1/4) * (3/4)^4 = 405/1024
P(X ≥ 2) = 1 - (243/1024 + 405/1024) = 376/1024 = 47/128
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2d²y/dx² + yd²y/dx² = 0, dy/dx at x = 0 = 0, dy/dx at x = infinite = 1, dy/dx at x = 5 = 0.99 d²z/dx² + k/2y dz/dx = 0 z(0) = 0 and z(infinite) = 1 k is just a constant. Solve the differential equations with boundary conditions. By using Runge kutta4 method with MATLAB
Answers
Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).
The resulting plot will show the solution curve.
To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.
Let's define new variables:
y = y(x)
z = dz/dx
Now, we have the following system of first-order differential equations:
dy/dx = z (1)
dz/dx = -k/(2y) (2)
To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.
The general formula for the fourth-order Runge-Kutta method is as follows:
k₁ = h f(xn, yn, zn)
k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)
k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)
k₄ = h f(xn + h, yn + k₃, zn + l₃)
yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6
zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6
where f(x, y, z) represents the right-hand side of equations (1) and (2).
We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:
function [x, y, z] = rungeKuttaMethod()
% Parameters
k = 1; % Constant k
h = 0.01; % Step size
x0 = 0; % Initial x
xn = 10; % Final x (adjust as needed)
n = (xn - x0) / h; % Number of steps
% Initialize arrays
x = zeros(1, n+1);
y = zeros(1, n+1);
z = zeros(1, n+1);
% Initial conditions
x(1) = x0;
y(1) = 0;
z(1) = 0;
% Runge-Kutta method
for i = 1:n
k1 = h * f(x(i), y(i), z(i));
l1 = h * g(x(i), y(i));
k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);
l2 = h * g(x(i) + h/2, y(i) + k1/2);
k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);
l3 = h * g(x(i) + h/2, y(i) + k2/2);
k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);
l4 = h * g(x(i) + h, y(i) + k3);
y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;
z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;
x(i+1) = x(i) + h;
end
% Plotting
plot(x, y);
xlabel('x');
ylabel('y');
title('Solution y(x)');
end
function dydx = f(x, y, z)
dydx = z;
end
function dzdx = g(x, y)
dzdx = -k / (2*y);
end
% Call the function to solve the differential equations
[x, y, z] = rungeKuttaMethod();
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Which expression has a solution of 56 if r = 8?
8r
7r
6 r
9 r
Answers
Answer:
7r is the correct answer
Step-by-step explanation:
7 x 8 = 56
Find the average rate of change of the following line WITHOUT CALCULATING. y=18 on [1000,10000]
![Find the average rate of change of the following line WITHOUT CALCULATING. y=18 on [1000,10000]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/oZO7wcmgATTpth6YlfRpv9l5202oZ999.jpeg)
Answers
Answer
The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO
SOLUTION
Problem Statement
The question wants us to find the average rate of change of the function y = 18 on the interval [1000, 10,000].
Method
- The function given is a constant function. This means that for every value of x from -∞ to +∞, the value of the function will always be y = 18.
- Since y is a function of x (albeit a constant function of x), it can be written as y = f(x).
- With these in mind, we can find the average rate of change of the function using the formula given below:
\(\begin{gathered} \bar{\Delta}=\frac{f(b)-f(a)}{b-a} \\ \text{where} \\ \lbrack a,b\rbrack\text{ is the interval for which we want to know the rate of change of the function }f(x) \end{gathered}\)- Note that since the function is a constant function, we should expect that its rate of change should be ZERO since the function is constant throughout despite the value of x.
Let us apply the formula above to find the average rate of change of the given function.
Implementation
The average rate of change of the function y = 18 is gotten below:
\(\begin{gathered} b=10,000,a=1000 \\ f(b)=f(10,000)=18\text{ (Since the function does not change)} \\ f(a)=f(1000)=18\text{ (Since the function is constant)} \\ \\ \therefore\bar{\Delta}=\frac{18-18}{10,000-1000}=\frac{0}{9,000} \\ \\ \therefore\bar{\Delta}=0 \end{gathered}\)Final Answer
The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO
which of the following describe φ for the shm x(t)=a cos(wt + φ) of figure (a)?
Answers
Without additional information, it is not possible to identify the correct statement describing φ for the given SHM in figure (a).
The parameter φ represents the phase angle or phase shift of the harmonic motion. It determines the initial position or displacement of the oscillating object at t = 0. It is the angle by which the cosine function is shifted horizontally.
From the options provided, we need to identify the statement that correctly describes φ in Figure (a).
The statement that describes φ for the given SHM x(t) = a cos(wt + φ) can be determined by analyzing the position of the oscillating object at t = 0. If the object is at its maximum positive displacement, φ is 0 degrees or 0 radians. If the object is at its maximum negative displacement, φ is 180 degrees or π radians. If the object is at the equilibrium position (zero displacements) at t = 0, φ is 90 degrees or π/2 radians.
Since figure (a) is not provided in the question, we cannot directly determine the exact position at t = 0. Therefore, without additional information, it is not possible to identify the correct statement describing φ for the given SHM in Figure (a).
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what is the perimeter of the triangle
Answers
Answer: it’s a really tiny picture so I hope I’m right (sorry if I’m not) 42
Step-by-step explanation:
consider the system of equations 2x −5y =1 4x −10y =3 how many solutions does this system have? explain.
Answers
Solutions for the system of equations 2x −5y =1 , 4x −10y =3 has no solution as ( 2 /4 ) = (-5/-10) ≠ (1/3) .
Simplify the system of equations to get the solution of the system :
2x - 5y = 1
⇒ 2x = 1 + 5y
⇒ x = ( 1+ 5y ) / 2 __(1)
4x -10y = 3
⇒ 2 ( 2x - 5y ) = 3
⇒2x - 5y = 3/2 ___(2)
Standard form of the system of equations are :
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Substitute the value of x from (1) into (2) we get,
2 ( 1 + 5y )/2 - 5y = 3/2
⇒1 + 5y -5y = 3/2
⇒1 = 3/2
⇒2 = 3 which is not true.
System of the equation has no solution.
Here, ( a₁ /a₂ ) = (b₁ /b₂) ≠ (c₁ /c₂ ) that is ( 2 /4 ) = (-5/-10) ≠ (1/3) .
Therefore, the system of equations has no solution.
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Jayden has two jobs. one week his paycheck was the same for both jobs. as a server he eared $9. 64 per hour plus $82. 35 in tips working at a jewelry store he earned $14. 86 per hour plus $17. 10 in sales
bonuses.
part a
select the equation that can be used to determine the number of hours, h, that jayden worked the week his paycheck was the same
for both jobs.
o 24. 5h
= 99.45
0 91 99
= 31. 96h
0 82. 35h + 9.64
0 9. 64h + 82. 35
17.10h + 14.86
14.86h + 17.10
part b
be
the total amount of money that jayden made when both paychecks were the same is $
Answers
the total amount of money that jayden made when both paychecks were the same is $99.45
To determine the number of hours Jayden worked the week his paycheck was the same for both jobs, we can solve an equation. The equation we'll use is 14.86h + 17.10 = 99.45. We can subtract 17.10 from both sides, leaving 14.86h = 82.35. Then we cane b divide both sides of the equation by 14.86, which will give us the result of h = 5.55 hours. The total amount of money that Jayden made when both paychecks were the same is 99.45. This can be confirmed by combining his earnings for both jobs, which would be 9.64h + 82.35 + 14.86h + 17.10 = 99.45.
Jayden worked 5.55 hours in the week his paycheck was the same for both jobs, and he earned a total of $99.45.
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15 points, needs to be done ASAP! Any joking around will lead to a report.
Answers
Answer: The mean is 6.
Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.
Answer:
6.
Step-by-step explanation:
First you take the data on the dot plot, and write the numbers down from least to greatest.
The data set:
2,3,6,6,7,8,8,8
Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.
2+3+6+6+7+8+8+8=48
Next we count all the number in the data set we made.
2,3,6,6,6,7,8,8,8 = 8
The amount of numbers in this data is 8.
Lastly we then divide 48 by 8.
48/8= 6
So your answer is 6!
PLS ANSWER)
Side measures are preserved in which of the following types of transformations?
I. rotations
II. Reflections
III. Translations
A. I and III only
B. I and II only
C. I, II, and III
D. I only
Answers
I’m sure it’s the answer not positive though, I’m sorry.
Is the following number rational or irrational?
✔45
A: rational
B: irrational
Answers
Answer:
A. Rational
Step-by-step explanation:
Any number that can be expressed as a fraction with denominator of 1, it is rational.
Since 45 can be expressed as
\( = \frac{45}{1} \\ \)
It is rational
B. irrational
step by step explanation:
√45 = 6.7082039325
6. Ray, Mike, and Jon collected a total of 500 postage stamps from around the world. Ray
collected 158 stamps and Mike collected 169 stamps. How many stamps did Jon collect?
Answers
Answer: Jon collected 173 stamps.
Determine the type of variable for:The number of counties in California.
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Determine the type of variable for: The stages of childhood: Infant, Toddler, Preschooler, School age, Preteen, Teen
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Suppose the average time for a class of 28 students (taken from a campus of 1200 students) to drive to campus was 23 minutes.
Select the choice
In the scenario above, 23 minutes is a parameter/ statistic , because 28 students is a sample/ population.
At a Track field, a coach keeps track of an athletes mile time. The coach reported that the mean mile time of a particular athlete was 7 minutes and the standard deviation of the mile time was 1 minute. Assume that the coach also gave us the information that the distribution of the mile time was bell shaped. Use the empirical rule to find:
What percent of the athlete's mile times are expected to be between 6 minutes and 8 minutes?
What percent of the athlete's mile times are expected to be between 4 minutes and 7 minutes?
What percent of the athlete's mile times are expected to be less than 9 minutes?
Answers
The type of variable for,
a. The number of counties in California: Quantitative discrete.
b. The stages of childhood: Qualitative ordinal.
c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.
d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.
e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.
f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.
In statistics, variables can be categorized into two types: qualitative and quantitative.
Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.
Quantitative variables, on the other hand, represent numerical values that can be measured or counted.
There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.
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Please help and hurry
40 brainly points and will mark brainlyest
Answers
Answer:
Step-by-step explanation:
Let x represent the number of weeks
Let y represent the number of days in a week!
Give your answer as a fraction in its simplest form. 7/7+ 71/14 = 14 + 14
Answers
Answer:
169 / 14
Step-by-step explanation:
7/1 + 71/14 = 7/1 * 14/14 + 71/14
= 98/14 + 71/14
= (98 + 71) / 14
= 169 / 14
So, the answer is 169 / 14
You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives $x$ dollars, and you receive the remaining amount. You sell $15$ gallons of cider for $\left(15x+45\right)$ dollars. How much money do you receive for each gallon of cider that you sell?
Answers
The seller receives x+3 dollars for each gallon of cider sold in the fundraiser.
Use the concept of fraction defined s:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p/q.
Given that,
Apple cider is being sold for a fundraiser.
The company that makes the cider receives $x$ dollars for each gallon sold.
The seller receives the remaining amount of money after the company's share.
A total of 15 gallons of cider were sold.
The total amount of money from selling the cider is $15x + 45$ dollars.
To find out how much money you receive for each gallon of cider sold, Set up an equation based on the given information.
Assume that you receive y dollars for each gallon of cider sold.
Since you sold 15 gallons of cider for 15x + 45 dollars,
Then write the equation:
15y = 15x + 45
To find the value of y,
Divide both sides of the equation by 15:
\(y = \frac{15x + 45}{15}\)
Simplifying the equation further, we get:
y = x + 3
Therefore,
You receive x + 3 dollars for each gallon of cider that you sell.
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An object is traveling at a steady speed of 9 4/5 mi/h. How long will it take the object to travel 2 1/5 miles? First round to the nearest integer to find the estimated answer. Then find the exact answer.
Answers
Answer:
Time taken by the object = 14 minutes
Step-by-step explanation:
Speed of an object = \(9\frac{4}{5}\) miles per hour ≈ 9.8 miles per hour
Distance covered by the object = \(2\frac{1}{5}\) miles ≈ 2.2 miles
Formula to calculate the distance in the time 't' is,
Time taken by the object = \(\frac{\text{Distance traveled}}{\text{Speed of the object}}\)
= \(\frac{2.2}{9.8}\)
= 0.2245 hours
= 13.47 minutes
≈ 14 minutes
Therefore, distance traveled by the object to cover 2.2 miles = 14 minutes.
which statistical method could a scientist use to estimate the strength of evidence that a particular node in a phylogeny exists?
Answers
A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.
Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.
Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.
Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.
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the fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviation 2. (a) what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3? (round your answer to four decimal places.)
Answers
The probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3 is 0.16%.
The normal distribution is a type of probability function that describes how a variable's values are distributed. Since the majority of the observations cluster around the curve's middle peak, it is symmetric. In both directions, the probability for values of the distribution that are far from the mean.
Given that the fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviation 2.
We have to determine what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3?
We that μ = 14.1 σ = 2 n = 100 δ = 2/√100 = 0.2
This probability is 1 subtracted by the p-value of Z when X = 14.3. So
Z = (x-μ)/σ
By the Central Limit Theorem
Z = (x-μ)/δ
Z = (14.3 – 14.1)/0.2
Z = 0.2/0.2
Z = 1
Z =1 has a p-value is 0.8413
= 1 - 0.8413 = 0.1587
Therefore 0.16% is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3.
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A | 5 - 3 |
B | 3 - 5 |
C 5 - 3
D 3 -5
PLEASEE HELP THANK YOU!!!
Answers
Answer:
D. 3-5
Step-by-step explanation:
Absolute Value
\( |a| = a \\ | - a| = a\)
Given where a-term is greater or equal to 0.
Example
\( |1| = 1 \\ | - 1| = 1 \\ | - 20| = 20\)
Back to the question, we evaluate the absolute value of 3-5.
\( |3 - 5| \\ | - 2| \)
Any negative real numbers in absolute will become positive real numbers.
Therefore, our answer is —
\(2\)
Consider all choices.
\( |5 - 3| = |2| = 2 \\ |3 - 5| = | - 2| = 2 \\ 5 - 3 = 2 \\ 3 - 5 = - 2\)
The only answer that is different is the last choice, 3-5 = -2
Find the general solution of the following equations by integrating. N.B. Please use A for the first constant of integration, B for the second and C for the third.
(a) y′=4t3+t
Solution: y=
(b) y′′=4t3+t Solution:
y=
(c) d3xdt3=4t3+t
Solution: x=
(d) 2y′=3t+2 Solution:
y=
Answers
a) The general solution is y = t^4/4 + t^2/2 + A, b) The general solution is y = t^5/20 + t^3/6 + At + B, c) the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C d) The general solution is y = 3t^2/4 + t + A/2
(a) To find the general solution of y′=4t^3+t, we need to integrate both sides of the equation with respect to t. This gives us:
y = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
So the general solution is y = t^4/4 + t^2/2 + A, where A is the first constant of integration.
(b) To find the general solution of y′′=4t^3+t, we need to integrate both sides of the equation twice with respect to t. This gives us:
y′ = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
y = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
So the general solution is y = t^5/20 + t^3/6 + At + B, where A is the first constant of integration and B is the second constant of integration.
(c) To find the general solution of d^3x/dt^3=4t^3+t, we need to integrate both sides of the equation three times with respect to t. This gives us:
d^2x/dt^2 = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
dx/dt = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
x = ∫(t^5/20 + t^3/6 + At + B)dt = t^6/120 + t^4/24 + At^2/2 + Bt + C
So the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C, where A is the first constant of integration, B is the second constant of integration, and C is the third constant of integration.
(d) To find the general solution of 2y′=3t+2, we need to integrate both sides of the equation with respect to t. This gives us:
2y = ∫(3t+2)dt = 3t^2/2 + 2t + A
y = (3t^2/2 + 2t + A)/2 = 3t^2/4 + t + A/2
So the general solution is y = 3t^2/4 + t + A/2, where A is the first constant of integration.
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Suppose that X is a continuous random variable with pdf f(x) = 431(0,1)(a).
(a) Using your table, find the expected value of X. That is, first identify the distribution by simply matching this pdf with one in the table and then pulling the expected value (mean) from the table without any actual computation.
(b) Consider a random rectangle whose sides are of length X and (1X). Determine the expected value of the area of the rectangle. (You may also quote values from the table of distributions here.)
Answers
(a) The expected value of X is given by
E(X) = 0.
(b) The expected value of the area of the rectangle is 1.
(a) From the given pdf, f(x) = 431(0,1) (a), it is clear that the distribution of X is normal with mean 0 and standard deviation 1.
Therefore, using the table, the expected value of X is given by
E(X) = 0.
(b) Let Y = X(1X) be the area of the rectangle, where X is the length of one side.
The expected value of Y can be obtained using the formula
E(Y) = E(X(1X))
= E(X²)
From part (a), we know that X is a standard normal random variable with mean 0 and standard deviation 1.
Hence,
E(X²) = Var(X) + [E(X)]²
= 1 + 0²
= 1
Therefore, the expected value of the area of the rectangle is 1.
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Is this a statistical question?
"How tall is a palm tree"
Answers
Answer:
yes it is a statistical question
Rewrite the expression in the form a^n. (a^2/3)^-1
Answers
Answer:
a^(-2/3)
Step-by-step explanation:
(a^2/3)^-1
We know x^y^z = x^(y*z)
a^(2/3*-1)
a^(-2/3)
someone please help i will give brainliest
Answers
From the two functions function 2 has the highest maximum value.
Given two functions,one is y=-\(x^{2} -2x-2\) and f(-2)=1,f(-1)=6,f(0)=9,f(1)=10,f(2)=9,f(3)=6.
We ae required to choose a function which is having highest maximum possible value.
Function is like a relationship between two or more variables expressed in equal to form. Each value of x of a function has some value of y.
The highest value in the second function is 10 which is at x=1. Put the value of x=1 in y=-\(x^{2} -2x-2\).
y=-1-2-2
y=-5
So it might not be highest value of this function.So the second function has highest maximum value of 10 at x=1.
Hence the second function has highest value.
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Since 2014, the population of a town increased by 20% each year. The town's population was 45,000 people in 2014.
Write a function to represent this situation. Use p(t) to represent the total population and t to represent time in years
since 2014.
Approximately how many people lived in the town by the end of 2019?
Answers
The population in 2019 is 111,974.
What is the population in 2019?An exponential equation can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential equation is f(x) = \(e^{x}\)
Where:
x = the variable e = constantThe form of this equation would be:
Initial population x \((1 + percent increase)^{number of years}\)
p(t) = 45,000 x \((1 + 0.2)^{t}\)
p(t) = 45,000 x \((1.2)^{t}\)
Population in 2019: p(t) = 45,000 x \((1.2)^{5}\) = 111,974
Where:
t = 2019 - 2014 = 5
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