Answer:
To find the area of the rectangle, you would do length times width, so it would be (4+√3)(2-√3)
Then the area would be 5.732050808 which would round up to 5.73.
To find the perimeter you would do P=2(l+w), so you would have 2(4+√3)(2-√3)
Then you would get 11.46, which you would round up to 11.5.
All in all:
Area = 5.73
Perimeter = 11.5
Step-by-step explanation:
Which is not a discrete random variable?
A. The number of births in a hospital on a given day
B. The number of fives obtained in four rolls of die
C. The hourly earnings of a call center employee in Boston
D. The number of applicants applying for a civil service job
Hourly earnings of call center employees is not a discrete random variable.
The answer is C.
The continuous random variable is not a discrete random variable. Continuous random variables are variables that can take an infinite range of values within a specific range, such as time, length, and weight.
A discrete random variable is a random variable that can only take certain discrete values. A discrete random variable is defined as a variable that takes on a specific set of values or a range of values.
The number of births, number of fives, and number of applicants are all random variables that can only take certain discrete values within a particular range of possible values.
So, the answer is C. The hourly earnings of a call center employee in Boston is not a discrete random variable.
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Help me pleaseeeee :(
Function is a relation that the domain doesn't have the same/repetitive value in a single set.
Some set of relations have repetitive domain
For example, {(1,1),(1,2)} This is NOT a function.
But {(1,1),(2,1)} is a function because there are no repetitive domains.
Therefore the answers are first choice, second choice and fifth choice.
Thirty samples of size 4 of the customer waiting time at a call center for a health insurance company resulted in an overall mean of 10.4 minutes and average range of 0.9 minutes . Compute the control limits for x and r charts.
the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).
To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:
For the x-bar chart:
Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar
Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar
For the R chart:
Upper Control Limit (UCL) for R = D4 * R-bar
Lower Control Limit (LCL) for R = D3 * R-bar
Where:
x-double-bar = Overall mean of the sample means
R-bar = Overall mean of the sample ranges
A2 = Constant from the control chart constants table
D4 = Constant from the control chart constants table
D3 = Constant from the control chart constants table
For sample sizes of 4, the control chart constants are as follows:
A2 = 0.729
D4 = 2.281
D3 = 0
Given the information you provided:
Overall mean (x-double-bar) = 10.4 minutes
Average range (R-bar) = 0.9 minutes
Let's calculate the control limits:
For the x-bar chart:
UCL for x-bar = 10.4 + 0.729 * 0.9
= 10.4 + 0.6561
= 11.0561 minutes
LCL for x-bar = 10.4 - 0.729 * 0.9
= 10.4 - 0.6561
= 9.7439 minutes
For the R chart:
UCL for R = 2.281 * 0.9
= 2.0529 minutes
LCL for R = 0
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What is the position of C on the number line below?
Write your answer as a fraction or mixed number.
Answer:
2/5
Step-by-step explanation:
there are 5 lines starting at point 1 and ending at 2. point c is on the second line which makes it 2/5ths
The position of C on the number line below is 7/5 or 1 2/5.
What is the number line?The number line is a horizontal line where all the integers are placed at equal intervals. The number line is extended to infinity on both sides.
Also, the line segment between two integers also divided into subparts to represent the rational number.
here given in the number line there are two integers 1 and 2 in which point C is situated.
The line segment between 1 and 2 is divided into 5 parts.
every subpart in line segment between 1 and 2 will be= the length of the subpart / total number of division
= (2-1)/5= 1/5
C point is present at a distance of 2 subparts from integer 1.
So the position of C will be = 1+(2)(1/5)= 1+(2/5)= 7/5 or 1 2/5
Therefore The position of C on the number line below is 7/5 or 1 2/5.
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Use the method of shells to find the volume of the donut created when the circle x^2+y^2=4 is rotated around the line x=4
Using the method of shells to find the volume of the donut created when the circle x² + y² = 4 is 32π².
The volume of a sphere represents its capacity. It is the space that the sphere occupies. The volume of a sphere is expressed in cubic units such as m3, cm3, in3, and so on. The sphere has a circular and three-dimensional form. It has three axes that define its shape: the x-axis, the y-axis, and the z-axis. Football and basketball are two examples of spheres with a lot of volume.
We have circle equation ,
x²+y²=4
so y² = 4-x²
taking square root on both side we get,
y = ± \(\sqrt{(4-x^2)\)
After taking the integral for finding the value we get,
volume\(V = 2\pi\int-22(4 - x)2\sqrt{(4 - x^2)dx\)
= \(4\pi[4 \int-22 \sqrt{(4 - x2)}dx- \int{-22x\sqrt{(4 - x^2)}dx]\)
=4π(8π - 0)
= 32π²
Therefore, the volume of the Donut is 32π².
1st integral is area of half of circle of radius 2; 2nd integral is 0 as integral of odd function in symmetric limits.
= \(\sqrt4 - x^2 - (- \sqrt4 - x^2)\)
= \(2\sqrt{4}\)
So after putting the limits we get the integral value as \(2\sqrt{4}\) .
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الزاوية في الوضع القياسي التي تكون الزاوية °82 زاوية مرجعية لها هي :
a) 275°
b) 98°
C) 262°
Step-by-step explanation:
340 046 9411Collect the contact numbers of the potential customers (could be friends or relatives initially). Create a whats app broadcast list and send them the new products or offers with image to them regularly.
One more thing that helps is advertisement banners on public places such as bus depot, railway stations, etc…
Last but not the list. A COOL customer experience to the customers even though they do not buy anything.
Hope these helps. There are many other important factors as well. You can ask any time for any help in this. Would be glad to help. :)
Answer:
340 046 9411Collect the contact numbers of the potential customers (could be friends or relatives initially). Create a whats app broadcast list and send them the new products or offers with image to them regularly.
Step-by-step explanation:
A cylinder has a base radius of 5 centimeters and a height of 17 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?
Select all triangle congruence theorems that can be used to prove the two triangles congruent.
AAS
ASA
AAA
SSS
SSA
HL
SAS
Only three of them are correct
Answer:
SAS, ASA, and AAS
Step-by-step explanation:
SSA, AAA are NOT Theorems. SSS requires three sides and HL requires the triangles to be a right triangle (90 degrees).
Also, the two triangles forms Vertical angles.
Solve for d -9a-12=12-d
Answer:
d= 24 + 9a
Step-by-step explanation:
– 9a – 12 = 12 – d
by collecting like terms
–9a +d = 12 +12
–9a +d = 24
d= 24 + 9a
Answer:
Step-by-step explanation:
-9a-12=12-d
d=9a+24
Truck driver drove 120 miles in 1 3/4 hours what is the speed in miles per hour
Answer:
210 is the answerrrrrrrrrr
Label the lengths of each triangle (opposite, adjacent, hypotenuse) with respect to angle A
Answer this math for 10 points
The measure of ∠A is 37 degrees, ∠B is 90 degrees and ∠C is 53 degrees in the triangle ABC.
Let us find ∠A by using sine function.
We know that sine function is a ratio of opposite side and hypotenuse.
The opposite side of ∠A is BC, which is 21.
The hypotenuse side of ∠A is AC, which is 35.
Sin∠A =21/35
Sin∠A =0.6
∠A =Sin⁻¹(0.6)
∠A =36.87 degrees.
∠B is 90 degrees.
By angle sum property the sum of three angles is 180 degrees in triangle.
∠A+∠B+∠C=180
37+90+∠C=180
127+∠C=180
Subtract 127 from both sides:
∠C=180-127
∠C=53 degrees.
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What is divided by 5/8 divided by 1/4 ?
A) 2/5 B) 3/4 C) 1 1/4 D) 2 1/2
Answer:
D: 2 1/2
Step-by-step explanation:
Answer:
the correct answer is.
A. 2/5
Can someone please help me I really need help please help me thank you
Hey there! :)
Answer:
SA = 144 cm².
Step-by-step explanation:
Find the surface area by calculating the areas of each of the lateral sides and bases:
In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:
Bases:
A = 1/2(bh)
A = 1/2(4·3)
A = 1/2(12)
A = 6 cm².
There are two bases, so:
6 × 2 = 12 cm²
Find the areas of the lateral sides using A = l × w:
5 × 11 = 55 cm²
4 × 11 = 44 cm²
3 × 11 = 33 cm²
Add up all of the areas:
12 + 55 + 44 + 33 = 144 cm².
Answer:
144 cm^2
Step-by-step explanation:
So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)
A = (4)(3) ÷ 2
A of triangle = 6
Since there are 2 triangles, you need to multiply the area by 2, which equals 12.
To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)
For the first rectangle,
A = 11 x 5
A = 55
For the second rectangle,
A = 4 x 11
A = 44
For the third rectangle,
A = 3 x 11
A = 33
Now, you need to add the areas of the triangles and rectangles together to get your surface area.
12 + 55 + 44 + 33 = 144cm^2
So, the surface area of the triangular prism is 144 cm^2.
what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answer:
We conclude that the volume of a regular octahedron will be:
\(\:\:V\:\approx \:30.17\) cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
\(V\:=\:\frac{\sqrt{2}}{3}a^3\)
substituting a = 4 in the volume equation
\(V=\frac{\sqrt{2}\cdot \:4^3}{3}\)
\(V=\frac{64\sqrt{2}}{3}\) ∵ 4³ = 64
\(\:\:V\:\approx \:30.17\) cm
Therefore, we conclude that the volume of a regular octahedron will be:
\(\:\:V\:\approx \:30.17\) cmAre any of these trees an outlier?
An apple farmer randomly selected 28 trees and weighed the total of all the apples each produced. Here are the results measure in grams:
85, 87, 97, 109, 114, 88, 95, 100, 93, 67, 91, 130, 49, 118, 101, 95, 94, 99, 96, 99, 79, 109, 85, 118, 70, 104, 127, 135.
Answer:
49
Step-by-step explanation:
49 is the outlier because it's the lowest number in the group of the other trees.
Is it possible to list all the fractions between 2 and 3? Explain.
Answer: No
Step-by-step explanation:
There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.
HELP ASAP TIMED! GIVING BRAINLIEST
Answer:
4680
Step-by-step explanation:
65% of 7200 is 4680
Answer:
4680
Step-by-step explanation:
65% of 7200 is 4680
Pete's three puppies need to run 5 2/3 miles every day. Today Coco ran only 2 1/2 miles. How many more miles does Coco need to run today so that he runs 5 2/3 miles?
The points (-1,-1,-4), (1,5,8), and (-6,-3,-2) lie on a unique plane. Use linear algebra to find the equation of the plane and then determine where
the line crosses the z-axis.
Equation of plane (use x, y, and a as the variables) Crosses the s-axis at the point:
The correct answer is the line crosses the z-axis at the point (0, 0, -9/2).
To find the equation of the plane that contains the points (-1, -1, -4), (1, 5, 8), and (-6, -3, -2), we can use the concept of linear algebra. A plane can be represented by an equation of the form:
ax + by + cz = d
where (x, y, z) are the coordinates of a point on the plane, and a, b, c, and d are constants.
To find the values of a, b, c, and d, we can use the three given points. Let's substitute the coordinates of each point into the equation and form a system of equations:
Equation 1: (-1)a + (-1)b + (-4)c = d
Equation 2: (1)a + (5)b + (8)c = d
Equation 3: (-6)a + (-3)b + (-2)c = d
To solve this system, we can set up an augmented matrix:
| -1 -1 -4 | d |
| 1 5 8 | d |
| -6 -3 -2 | d |
We can row reduce this matrix to solve for the values of a, b, c, and d. Performing the row reduction, we obtain the following matrix:
| 1 0 0 | -9 |
| 0 1 0 | 5 |
| 0 0 1 | 2 |From this row-reduced form, we can determine that a = -9, b = 5, c = 2, and d = -9.
Therefore, the equation of the plane is:
-9x + 5y + 2z = -9
To find where the line crosses the z-axis, we need to determine the point of intersection between the line and the z-axis. Since the z-axis is defined by x = 0 and y = 0, we can substitute these values into the equation of the plane:
-9(0) + 5(0) + 2z = -9
2z = -9
z = -9/2
Therefore, the line crosses the z-axis at the point (0, 0, -9/2).
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On a vacation, Elwyn averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 55 mph. What is the distance between the two cities if his total traveling time was 32 hours? Finish filling in the table (do not add any spaces when typing in your answer) and
Answer:
850 miles
Step-by-step explanation:
Distance = r * t
Going:
d = 50 * x = 50x
Returning:
d = 55*(32 - x)
= 55*32 - 55*x
= 1760 - 55x
As the distance covered is same,
50x = 1760 - 55x
50x + 55x = 1760
105x = 1760
x = 1760 ÷ 105
x = 17 hours
d = 17 * 50
= 17*50
= 850 miles
please help! find x and y
Answer:
Step-by-step explanation:
\(\dfrac{3+x}3=\dfrac{20}5\\\\3+x = 4\cdot3\\\\x=12-3 \\\\x= 9\) \(\dfrac{4+y}4=\dfrac{20}5\\\\4+y= 4\cdot4\\\\y=16-4 \\\\y=12\)
\(\dfrac{3+x+u}3=\dfrac{60}5\\\\3+9+u=12\cdot3\\\\u=36-12 \\\\u=24\) \(\dfrac{4+y+v}4=\dfrac{60}5\\\\4+12+v=12\cdot4\\\\v=48-16 \\\\v=32\)
Question 3 Which of the following expressions is equivalent to (1 + cos 0)²?
A. 1+2 cos(0) + cos² (0)
B. 1+ cos²0
C. sin² (0)
D. (1+cos (0)) (1 - cos(0))
1 + 2cos(0) + cos²(0) matches the simplified expression. The correct option is A
What is expression ?A group of symbols used to indicate a value, relation, or operation is called an expression. Expressions are used in mathematics to represent numbers, variables, and functions.
We can simplify the given expression:
(1 + cos 0)² = (1 + cos 0) * (1 + cos 0) = 1 + 2cos(0) + cos²(0)
Comparing this simplified expression to the given options, we can see that:
A. 1 + 2cos(0) + cos²(0) matches the simplified expression.
So, the correct answer is A. 1 + 2cos(0) + cos²(0)
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A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses: 19, 9, 18, 16, 14, 19 Find the mean and median number of hours for these students.
Answer:
Mean = 15.83 hours
Median = 17 hours
Step-by-step explanation:
The first step to follow when dealing with data distributions is to arrange the data in either an ascending or descending order.
Once this is done, we have the responses as
responses: 9. 14, 16, 18, 19, 19
The mean of the distribution can be obtained by dividing the total sum of the values, by the number of respondents.
this is \(9 +14 + 19 + 18 + 16 + 14 + 19/ 6= 95/6 = 15.83\)
The mean of the distribution is 15.83 hours
The median is obtained by picking out the middle number of the distribution. However, our distribution is even, and hence has two middle numbers. To solve this , we simply add the two numbers and divide by 2
= (16 + 18 )/2 = 34/2 = 17
Answer:
(a) The average television hours for the six students in the previous week was 15.83 Hours.
(b) The median number of hours would be 17 Hours
Step-by-step explanation:
Mean
The mean of a group of numbers is the average of the numbers. The mean can be gotten with the expression in equation 1.
Mean = Σx / n ...............1
Where Σx is the sum of the numbers
n is the number of values
Substituting our values into equation 1 we have;
Mean = (19+9+18+ 16+14+19) ÷ 6
Mean = 95 ÷ 6
= 15.83 Hours
Therefore the average television hours for the six students in the previous week were 15.83 Hours.
MedianThe median of a group of numbers is the middle term of the numbers when arranged in ascending or descending order.
Given the television hours of the six students, we have;
19, 9, 18, 16, 14, 19
We arrange the numbers in ascending order from the smallest to the biggest;
9, 14, 16, 18, 19, 19
Since the number of value is even the median would be obtained by finding the mean of the two middle terms.
From our arranged data, 9, 14, 16, 18, 19, 19
the two middle numbers are 16, 18
Therefore the mean would be
(16+18) /2
=34/2
= 17 hours
Thus the median number of hours would be 17 Hours
what is the correct ascending order for these numbers1.525/848%
Given the set of numbers:
\(\text{ 1.52, 5/8 and 48\%}\)To be able to determine their correct ascending order, we must first make all the numbers into similar forms.
Let's convert a
match each ratio to the situation that it correctly models.
The ratio that correctly models the situations are:
1 to 3 - for every cup of water added to the mixture, there are three drops of food colouring added.
4 : 3 - for every 4 students wearing pants, there are 3 students wearing shorts.
12 : 3 - there 4 times as many boys as there are girls.
What are ratios?A ratio expresses the relationship between two numbers. It shows the number of times that one value is contained in another value. The sign used to represent ratios is :.
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(1 point) Let B = [8] Find a non-zero 2 x 2 matrix A such that A² = B. A E a Hint: Let A = C || b] perform the matrix multiplication A², and then find a, b, c, and d.
A = [2,2,-2,2] is a non-zero 2 x 2 matrix that satisfies A² = B, where B = [8].
We are required to find a non-zero 2x2 matrix A such that A² = B, where B = [8].
Let A = [a, b, c, d] be a 2x2 matrix.
Then, A² = [a, b, c, d] x [a, b, c, d]
= [a² + bc, ab + bd, ac + cd, bc + d²].
We are given that B = [8].
Hence, A² = B implies that a² + bc = 8, ab + bd = 0, ac + cd = 0, and bc + d² = 8.
Since A is a non-zero matrix, it is not the zero matrix. Thus, at least one element of A is non-zero.
Since ab + bd = 0, either a = 0 or d = -b.
Let us assume that a is non-zero.
Since ac + cd = 0, we have c = -a(d/b).
Therefore, A = [2, 2, -2, 2] is a non-zero 2 x 2 matrix that satisfies A² = B, where B = [8].
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What is the answer to this question
Answer:
3
Step-by-step explanation:
It is 3 because you multiply the powers when in brackets
at what value(s) of on the curve does the tangent line have the largest slope?
The tangent line has the largest slope at the value(s) of x=0 where the derivative of the function y = -6 + 250x^3 - 3x^5 is maximized.
To find the value(s) of x where the tangent line has the largest slope for the given function y = -6 + 250x^3 - 3x^5, we need to determine the maximum of the derivative.
First, we find the derivative of the function: y' = 750x^2 - 15x^4. To find critical points, we set the derivative equal to zero: 750x^2 - 15x^4 = 0.
Factoring out x^2, we get x^2(750 - 15x^2) = 0. This equation has two solutions: x = 0 and x = √(750/15) = √50.
Next, we analyze the sign changes around these critical points to determine the behavior of the derivative. We can create a sign chart to evaluate the sign of the derivative in different intervals.
The intervals to consider are (-∞, 0), (0, √50), and (√50, +∞). After analyzing the sign chart, we find that the derivative is positive on (-∞, 0) and negative on (0, √50) and (√50, +∞).
Thus, the tangent line has the largest slope at x = 0 because the derivative changes from positive to negative at that point.
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Complete Question:
At what value(s) of x on the curve y = -6 + 250x^3 - 3x^5 does the tangent line have the largest slope?
The freshmen class is going on a field trip.There are 316 people going.six people will be traveling by car and these are five buses.How many people must ride on each bus?
Answer:
Step-by-step explanation:
307 divided by 7 is the number of students in each bus with the remainder 6. As the 6 students cannot be fit into the bus and had to travel by car.
Thus we can conclude that:
307= 7x + 6 (6 extra students)
Take away 6 on both sides
7x = 301
i hope this helps i tried my best
x= 43
There are 43 students on each bus.
Answer:
62 people on each bus
Step-by-step explanation:
316-6=310.
310÷5=62 so there will be 62 people riding on each bus.