Q2 (30 pts). Generate a vector of 50 positive random integers from 1 to 1000 . Then, using a loop (without using built-in functions or vectorized operations): - Count how many of those numbers are div
Answers
We can generate a vector of 50 positive random integers and use a loop to iterate through the vector and check each number for divisibility by 3.
Here's an example code snippet in MATLAB that generates a vector of 50 positive random integers and counts how many of those numbers are divisible by 3:
% Set the parameters
n = 50; % Number of random integers to generate
lower = 1; % Lower bound
upper = 1000; % Upper bound
% Generate the vector of random integers
rand_integers = randi([lower, upper], 1, n);
% Count the numbers divisible by 3
count = 0; % Initialize the count variable
for i = 1:n
if mod(rand_integers(i), 3) == 0
count = count + 1;
end
end
disp(count); % Display the count of numbers divisible by 3
In this code, we use the randi function to generate a vector of n random integers between lower and upper. We then initialize the count variable to 0 and iterate through the vector using a loop. For each number, we use the mod function to check if it is divisible by 3 (i.e., the remainder of the division is 0). If it is, we increment the count variable. Finally, we display the count of numbers divisible by 3 using disp(count).
Learn more about loop here:
https://brainly.com/question/14390367
#SPJ11
Related Questions
Find the points on the graph of\(x^{2/3}\) + \(y^{2/3}\) = 1 where the tangent line has slope 1
Answers
Any point satisfying the relation y = -[1 - (∛x²)]²(1/(∛x)) will be points on the graph where the tangent line has slope 1.
What is the slope of a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is the slope of a line is represented by the expression m = change in y/change in x =Δy/Δx.
Additionally, the slope of the line can be shown as tan θ = Δy/Δx
So, the slope of a line is tan θ.
The given equation is: (∛x²) + (∛y²) = 1
Therefore, (∛y²) = 1 - (∛x²) ⇒ y² = [1 - (∛x²)]³
Differentiating the equation formed with respect to x, we get
2y(dy/dx) = 3[1 - (∛x²)]²(-2/3)(1/(∛x)) ⇒ dy/dx = (-1/y)[1 - (∛x²)]²(1/(∛x)) -(i)
Given, the slope of the tangent line is = 1 -(ii)
Thus, equating (i) and (ii), we get,
(-1/y)[1 - (∛x²)]²(1/(∛x)) = 1 ⇒ y = -[1 - (∛x²)]²(1/(∛x))
Therefore any point satisfying the relation y = -[1 - (∛x²)]²(1/(∛x)) will be points on the graph where the tangent line has slope 1.
To learn more about this, tap on the link below:
https://brainly.com/question/16949303
#SPJ9
What is the slope of (12,-18) and (11,12)? Please I’m very confused.
Answers
Answer:
-30
Step-by-step explanation:
\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.
Slope
\( = \frac{12 - ( - 18)}{11 - 12} \)
\( = \frac{12 + 18}{ - 1} \)
= -30
Can you plz answer question on the screenshot?
Answers
Answer:
Step-by-step explanation:
please help me tysm i dont understand
Answers
Answer:
h = 2\(\sqrt{3}\)
b = 3\(\sqrt{2}\)
Step-by-step explanation:
to find 'h' we can use the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : \(\sqrt{3}\) : 2
so we can set up this proportion:
h/2 = 1/\(\sqrt{3}\)
cross-multiply:
h = 2\(\sqrt{3}\)
to find 'b' we can use the ratio of sides in a 45-45-90° triangle which, respectively, is 1 : 1 : \(\sqrt{2}\)
we can set up this proportion:
3/b = 1/\(\sqrt{2}\)
cross-multiply:
b = 3\(\sqrt{2}\)
sinθ is equal to the division of the opposite side of the reference angle (θ) by the hypotenuse.
the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse
tan30 = h/2
\(tan30 = \frac{1}{ \sqrt{3} } \)
1/sqrt3 = h/2
\(h = \frac{2}{ \sqrt{3} } \)
sin45 = 3/b
\(sin45 = \frac{1}{ \sqrt{2} } \)
1/sqrt2 = 3/b
b/sqrt2 =3
\(b = 3 \sqrt{2} \)
A man goes into business for himself selling dog houses. The materials for the dog houses cost him $45 per house. He sells them for $75 each. How much money does he earn if he sells 20
Answers
Answer:
$600
Step-by-step explanation:
subtract 45 from 75, you get 30. multiply 30 by 20, and there is your answer.
PLS HELP ASAP WILL GIVE BRAINLIEST
Two vertices of a right triangle have coordinates (3, 7) and (3, 10). The segment that connects these points is a leg of the triangle.
Which set of coordinates for the third vertex would create a right triangle?
Responses
(7, 8)
, left parenthesis 7 comma 8 right parenthesis,
(4, 8)
, left parenthesis 4 comma 8 right parenthesis,
(4, 4)
, left parenthesis 4 comma 4 right parenthesis,
(8, 7)
Answers
Answer: (8, 7)
To find the set of coordinates that would create a right triangle, draw the possible triangles using the coordinate choices.
What is a right triangle?A right triangle is any triangle that has a 90° angle. This is because another way to say a 90° angle is a right angle.
Plot the sets of coordinatesLet's plot all of the sets of coordinates onto a graph.
A graph has an x-axis and a y-axis.
The x-axis goes horizontally, which is left to right. The y-axis goes vertically, which is up and down.Remember that coordinates are written as (x, y) and plotted to make a point. These are the steps to plot a point:
Start at (0, 0).Move to the same 'x' number as in the coordinate.Move up or down the 'y' number as in the coordinate.Draw a dot.For example, to plot (3, 7), start at (0, 0), move 3 to the right and 7 up.
Look at the first picture to see how we plot all of the other points.
Connect the dotsSince (3, 7) and (3, 10), shown in red, make a leg of the triangle, we should connect these points.
A leg in a right triangle means one of the two shorter sides. The longest side is called the hypotenuse.Connect each of the other coordinates to these two points.
Look at the second picture to see the triangles.
Only the blue triangle has a 90° angle. The blue triangle has (8, 7) as the third vertex.
Therefore, (8, 7) is the set of coordinates for the third vertex that would create a right triangle with (3, 7) and (3, 10).
To learn more about right triangles on a coordinate plane, check out:
https://brainly.com/question/20219906
Find the value of 9x + 4y when x = 4 and y=-5
Answers
Answer:
16
Step-by-step explanation:
substitute the values into the equation
9(4)+4(-5)
solve...
36-20=16
Answer:
16
Step-by-step explanation:
9x + 4y
Let x =4 and y = -5
9(4)+ 4(-5)
36 -20
16
If bob has 200 birds and Jim has 300 birds how old is Emma
Answers
Answer:
400 birds im not sure though but you can try srry if im wrong
Step-by-step explanation:
400 comes after 300
Assume that the number of days it takes a homebuilder to complete a house is normally distributed with a mean time of 176.7 days and a standard deviation of 24.8 days:
Answers
The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.
Explanation :
To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.
Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93
To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.
This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.
Learn more about probability from a given link :
https://brainly.com/question/23417919
#SPJ11
How do you know if a curve is positive or negative?
Answers
Positive curve graphs will be upward-sloping.
Negative curve graphs will be downward-sloping.
Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.
In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
To know more about curves visit: brainly.com/question/28793630
#SPJ4
Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
the result of a survey show that 0.32% of the people in the survey have never sent a text message
Answers
Answer: 0.32% = 0.32/100 = 0.0032
Step-by-step explanation:
What is Desmos in math?
Answers
Answer:
Desmos is a free graphing and teaching tool for math available on the web as well as on iOS and Android. In addition to plotting equations, classroom activities are available to help students learn about a variety of math concepts.
A definition of Desmos has been given below
What is Desmos?
Desmos can be applied in a variety of contexts. Students can avoid spending $100 on a graphing calculator by using it for free. It can be used by teachers to create stunning images for tests and presentations. But Desmos really shines in the classroom exercises. Teachers can use Desmos to assist students in making the connection between mathematical concepts and actual, concrete shapes and images. It's simple to begin an activity with your students: Just instruct the children to enter the website's activity code. Try the student preview of an activity before assigning it. In the teacher moves section at the bottom of each activity, you can find specific ways to guide your children while they work. The teacher dashboard allows for the tracking of progress.
To learn more about Desmos, refer to the link-
https://brainly.com/question/26857518
#SPJ4
If (6 ki)² = 27-36i, the value of k is
Answers
Answer: k = √27-i
Step-by-step explanation:
help please, do working outs too i don’t understand it
Answers
1.) The line with the greatest slope.
The greater the slope of the line, the more upright it is. Observing the given graph, the line with the greatest slope is line a.
2.) Lines that are parallel.
Two lines are parallel if they do not have an intersection with each other at any point in the graph. We can see that line b and line d, do not intersect at any point in the graph and are thus parallel lines.
3.) Line with a negative slope
A line with a negative slope is a line that goes downwards from left to right, in the graph we can see that line e and line f goes downwards from left to right.
4.) Line that is perpendicular to the y-axis.
A line that is perpendicular to the y-axis, is a line that is parallel to the x-axis. Looking at the graph, line c is perpendicular to the y-axis.
find only sigma if e O¨zlem likes jogging 3 days of a week. She prefers to jog 3 miles. For her 95 times, the mean wasx¼ 24 minutes and the standard deviation was S¼2.30 minutes. Let μ be the mean jogging time for the entire distribution of O¨zlem’s 3 miles running times over the past several years. How can we find a 0.99 confidence interval for μ?.
likes jogging 3 days of a week. She prefers to jog 3 miles. For her 95 times, the mean wasx¼ 24 minutes and the standard deviation was S¼2.30 minutes. Let μ be the mean jogging time for the entire distribution of O¨zlem’s 3 miles running times over the past several years. How can we find a 0.99 confidence interval for μ
a) What is the table value of Z for 0.99? (Z0.99)? (b) What can we use for σ ? (sample size is large) (c) What is the value of? Zcσffiffin p (d) Determine the confidence interval level for μ.
Answers
(a) Z₀.₉₉ is approximately 2.576.
(b) the sample size is large, we can use the sample standard deviation (S = 2.30 minutes)
(c) So, Zc = Z₀.₉₉ * (S / √n).
(d) the confidence interval is given by:
(x - Zc, x + Zc).
What is Standard Deviation?
Standard deviation is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
For example: To find the standard deviation, you have to add up all the numbers in the data set, then divide by how many numbers there are, and that will get you your answer.
To find a 0.99 confidence interval for μ, we can follow these steps:
a) To determine the table value of Z for 0.99 (Z₀.₉₉), we need to find the z-score that corresponds to a 0.99 cumulative probability. From a standard normal distribution table or using statistical software, we find that Z₀.₉₉ is approximately 2.576.
b) Since the sample size is large, we can use the sample standard deviation (S = 2.30 minutes) as an estimate for the population standard deviation (σ).
c) The value of Zc is obtained by multiplying the Z-score (Z₀.₉₉) by the standard deviation (σ) and dividing it by the square root of the sample size (n). So, Zc = Z₀.₉₉ * (S / √n).
d) The confidence interval level for μ can be calculated by subtracting and adding the value of Zc from the sample mean (x). Therefore, the confidence interval is given by:
(x - Zc, x + Zc).
Substituting the given values, we have:
Z₀.₉₉ = 2.576
σ ≈ S = 2.30 minutes
n = 95
x = 24 minutes
To find Zc, we need to calculate Zc = Z₀.₉₉ * (S / √n) = 2.576 * (2.30 / √95).
Once we calculate Zc, we can determine the confidence interval for μ by subtracting and adding Zc from x.
Please note that to obtain the specific numerical values for Zc and the confidence interval, you'll need to perform the calculations using a calculator or statistical software.
To learn more about Standard Deviation from the given link
https://brainly.com/question/475676
#SPJ4
I keep getting a step wrong because I’m getting a radio that isn’t on here..
Answers
Given:-
7th term is 77 and 8th term is 231.
To find:-
The common ratio.
Now to find the common ratio we divide both the numbers. we get,
\(\frac{231}{77}=3\)So the common difference is 3.
So the common ratio is 1/3.
Answer:
3
Step-by-step explanation:
Geometric sequence:
\(\sf Common \ ratio = \dfrac{(n+1)^{th} \ term}{n^{th}}\)
\(\sf = \dfrac{8^{th} \ term}{7^{th} \ term}\\\\\\ =\dfrac{213}{77}\\\\\\=3\)
What is the expected number of defective circuit boards for company a? what is the expected number of defective circuit boards for company b? which company should be chosen for purchasing circuit boards? explain.
Answers
Overall, sampling offers a practical and efficient approach to obtain information about a population while still providing accurate and reliable results. It strikes a balance between accuracy, cost-effectiveness, and feasibility, making it a preferred method for many research studies and surveys.
Cost-Effectiveness: Sampling is usually more cost-effective than conducting a census. A census involves collecting data from every individual in the population, which can be time-consuming and expensive. Sampling allows researchers to gather representative information using a smaller sample size, reducing costs while still providing accurate estimates.
Time Efficiency: Conducting a census can be time-consuming, particularly for large populations. Sampling allows researchers to collect data more efficiently by focusing on a subset of the population. This saves time and enables quicker analysis and decision-making.
Feasibility: In some cases, it may not be practical or feasible to conduct a census. For example, in populations with millions or billions of individuals, it would be extremely challenging and resource-intensive to collect data from every member. Sampling provides a more manageable approach, allowing researchers to obtain meaningful insights without overwhelming logistical constraints.
To know more about sampling,
https://brainly.com/question/31754148
#SPJ11
Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone..
A
Description of Plane
plane parallel to the circular base, not passing through the tip of the cone
plane parallel to the circular base, passing through the tip of the cone
plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the
slant height of the cone
plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone
Description of Cross
Section
Answers
All the solutions are;
1) Circle
2) A point
3) An oval that becomes more elongated as the angle with the horizontal increases.
4) An isosceles triangle.
Since, A cross-section is a plane section that is a section of a three-dimensional object that is parallel to one of its planes of symmetry or perpendicular to one of its lines of symmetry.
Now, We can formulate;
1) Plane Parallel to the circular base, not passing through the tip of the cone:
⇒ Circle.
2) Plane Parallel to the circular base, passing through the tip of the cone:
⇒ A point.
3) Plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the slant height of the cone:
⇒ An oval that becomes more elongated as the angle with the horizontal increases.
4) Plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone :
⇒ An isosceles triangle.
Learn more about Cross Section here:
brainly.com/question/2459472
#SPJ1
Find the value of x.
A.
74°
53°
Answers
Answer:
74
Step-by-step explanation:
can you guys please help me on this question
Answers
Answer:
2.44 units
Explanation:
\(\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r\)
Here given:
∅ = 40°radius = 3.5Solve for AB:
\(\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)\)
\(\rightarrow \sf 2.4422...\)
\(\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)\)
-1/2(7z+4) + 1/5(5z - 15)
Answers
Step-by-step explanation:
-3.5z - 2 + 1z - 3
Solving like terms
-2.5z - 5
• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.
Answers
Answer
12x-9x-45 (put a 2 above the x on the 12)
Step-by-step explanation:
(2x-9)(x+5)
2x(x) = 2x
2x(5) = 10x
-9(x) = -9x
-9(5) = -45
2x^2+10x^2-9x-45
2x^2+10x^2 = 12x^2
12x^2-9x-45
U WILL BE MARKED BRAINLIST IF CORRECT
The following graph shows the proportional relationship between the cost and duration of a car rental. Which statements about the graph are true?
Answers
Answer:
The answer on khan academy is C. None of the above.
Step-by-step explanation:
What expression can be used to determine the total cost of buying c pounds of cashews for $2.65 per pound and f pounds of flour for $0.94 per pound?
PLEASE HELP
Answers
X = 2.65(c) + .94(f)
What are the solutions to this quadratic equation? 5x2-7x-18=0
Answers
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are \(\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}\).
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
\(x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}\)
Plug in the values and simplify:
\(x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}\)
Therefore, the values of x are \(\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}\).
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
Factorise: 25x²-20x+4
Answers
(5x - 2)²
Step-by-step explanation:
25x² - 20 + 4
(5x - 2)(5x - 2)
(5x - 2)²
Answer: (5x-2)^2
Step-by-step explanation: I just thought of the answer
Select the correct answer.
Which number best represents the slope of the graphed line?
A. -5
B.-1/5
C. 1/5
D.5
Answers
Answer:
A. -5
Step-by-step explanation:
You want the slope of a graphed line that crosses grid points (0, 2) and (1, -3).
SlopeThe sign of the slope is positive if the line goes up to the right. This line goes down to the right, so the sign of its slope is negative. (Eliminates choices C and D)
The magnitude of the slope is the ratio of vertical distance to horizontal distance between two points. This line drops 5 vertical squares for each square to the right, so its slope is ...
rise/run = -5/1 = -5
The slope is best represented by -5.
__
Additional comment
From a point on the line that is a crossing of grid lines, if the line crosses the next vertical grid line before it crosses the next horizontal grid line, the magnitude of its slope is less than 1.
Here, the line crosses several horizontal grid lines before it crosses another vertical grid line, so its slope has a magnitude greater than 1. When the choice is between -5 and -1/5, the larger magnitude number is -5.
From two points on the line, you can find the slope using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-3 -2)/(1 -0) = -5/1 = -5 . . . . . . using points (0, 2) and (1, -3)
A polynomial f and a factor of f are given. Factor f completely.
f(x) = 3x³ + 13x²+2x-8; x + 4
Answers
Answer:
(x+4)(3x-2)(x+1)
Step-by-step explanation:
Question
Use the Fundamental Counting Principle to find the total number of possible outcomes.
There are___total possible outcomes.
Answers
Answer:
there are 24 total possible outcomes.
Step-by-step explanation:
There are 4 choices for the first question, 3 choices for the second question, and 2 choices for the third question, since each question eliminates one option from the previous question. Therefore, by the Fundamental Counting Principle, the total number of possible outcomes is 4 x 3 x 2 = 24.
A rectangular pyramid has a volume of 492 cubic yards. if the base has a length of 18 yards and a width of 4 yards, what is the height of the pyramid?
Answers
Answer:
h = 20.5 yards
Step-by-step explanation:
Volume of Rectangular Pyramid: lwh/3
492 = (18) * (4) (h) /3
Multiply 3 on both sides
1476 = (18) (4) (h)
1476 = 72h
Flip the equation.
72h = 1476
h = 41/2 or 20.5 yards