Answers
The cumulative frequency for the class 31-34 is 29.
We are given a table that contains statistical data. The data segregates the number of students into different age groups. The class intervals for the age groups are 15-18, 19-22, 23-26, 27-30, 31-34, and 35-38. The number of students in the respective class intervals is 7, 7, 8, 4, 3, and 5. We need to find the cumulative frequency for the class 31-34. The cumulative frequency is the sum of all the frequencies of the previous classes and that of the current class. The cumulative frequency for the class 31-34 is 7 + 7 + 8 + 4 + 3 = 29.
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Related Questions
What is the area of the circle above?
Answers
Answer:
201.6
i think
Answer: I am pretty sure its A
Step-by-step explanation:
The temperature over a 9-hour period is given by Upper T (t )equalsnegative t squared plus 4 t plus 34. (a) Find the average temperature. (b) Find the minimum temperature. (c) Find the maximum temperature.
Answers
Answer:
(a) 25 degrees
(b) -11 degrees
(c) 38 degrees
Step-by-step explanation:
The temperature function is:
\(T(t) = -t^2+4t+34\)
(a) The average value for a temperature is:
\(M=\frac{1}{b-a}* \int\limits^b_a {f(x)} \, dx\)
In this particular case, the average temperature is:
\(M=\frac{1}{9-0}* \int\limits^9_0 {T(t)} \, dt \\M=\frac{1}{9}* \int\limits^9_0 {(-t^2+4t+34)} \, dt \\M=\frac{1}{9}* {(-\frac{t^3}{3}+2t^2+34t)}|_0^9\\M=\frac{1}{9}*( {(-\frac{9^3}{3}+2*(9^2)+34*9)-0)\)
\(M=25\)
The average temperature is 25 degrees.
(b) The expression is a parabola that is concave down, therefore there are no local minimums, which means that the minimum temperature will be at one of the extremities of the interval:
\(T(0) = -0^2+4*0+34=34\\T(9) = -9^2+9*4+34=-11\)
The minimum temperature is -11 degrees.
(c) The maximum temperature will occur at the point for which the derivate of the temperature function is zero:
\(T(t) = -t^2+4t+34\\T'(t)=-2t+4=0\\2t=4\\t=2\)
At t = 2, the temperature is:
\(T(2) = -2^2+4*2+34=38\)
The maximum temperature is 38 degrees.
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0 y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =
Answers
The differential equation dy/dt = y(3-y) smug all of the given conditions.
One possible autonomous differential equation with equilibrium solutions at y=0 and y=3, and with y' > 0 for 0 < y < 3 and y' < 0 for -∞ < y < 0 and 3 < y < ∞, is:
dy/dt = y(3-y)
We can see that y=0 and y=3 are equilibrium solutions by setting dy/dt = 0 and solving for y:
dy/dt = y(3-y) = 0
y = 0 or y = 3
To check the sign of y', we can use the derivative of y(3-y) with respect to y: d/dy (y(3-y)) = 3 - 2y
For y < 0, we have y(3-y) < 0, so d/dy (y(3-y)) < 0, which says that y' < 0.
For 0 < y < 3, we have y(3-y) > 0, so d/dy (y(3-y)) > 0, which implies that y' > 0.
For y > 3, we have y(3-y) < 0, so d/dy (y(3-y)) < 0, which implies that y' < 0.
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PLEASE HELPPPP Using the diagram below, which of the following angle pairs represent vertical angles?
Answers
Answer:
DCE and BCA
Step-by-step explanation:
Vertical angles are angles which lie directly opposite each other on intersecting lines. Because of this they are equal, and share the same vertex. Out of these pairs, only DCE and BCA are vertical angles because they lie opposite to each other on the lines FJ and IM, and share a vertex of point C.
Hope this helped!
It takes 20 days using 12 machines to produce a batch of pens.
due to a fault only 3 machines were used for the first 8 days, all 12 machines were used from day 9 onwards.
how many days in total to produce the batch of pens
Answers
It would take a total of 20 days to produce the batch of pens.
Let's calculate the work done by the 3 machines for the first 8 days:
Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work
The remaining work that needs to be done by all 12 machines is:
Remaining work = 1 - (2/20) = 0.9
Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:
Total work = 0.9
Work done by 12 machines in one day = 12/20 = 0.6
Total number of days needed = 0.9/0.6 = 1.5
Therefore, the total number of days needed to produce the batch of pens is:
8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days
However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:
10.5 + 9.5 = 20 days
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if i had 10 apples how many apples do i have?
Answers
I hope that i helped
Answer:
10 apples
Step-by-step explanation:
A conical container can hold 120 pie cubic centimeters of water the diameter of the base of the container is 12 centimeters the height of the containers centimeters. If the diameter and height were both doubled the containers capacity would be times its original capacity
Answers
Given that the diameter of the base is 12 centimeters, the radius (r) is half of the diameter, which is 6 centimeters. The original height of the container is h centimeters.
Using the formula for the volume of a cone, we have:
V = (1/3)π(6^2)h
V = 36πh
We are told that the container can hold 120π cubic centimeters of water. Therefore:
36πh = 120π
To find the value of h, we divide both sides of the equation by 36π:
h = 120π / (36π)
h = 10/3
So the original height of the container is 10/3 centimeters.
Now, if we double both the diameter and height of the container, the new diameter would be 2 * 12 = 24 centimeters, and the new height would be 2 * (10/3) = 20/3 centimeters.
The new volume (V') can be calculated using the same formula:
V' = (1/3)π(12^2)(20/3)
V' = 480π/9
V' = 160π/3
To find the ratio of the new volume to the original volume, we divide the new volume by the original volume:
V' / V = (160π/3) / (120π)
V' / V = (160/3) / (120)
V' / V = 4/3
Therefore, the capacity of the container after doubling the diameter and height would be 4/3 times its original capacity.
If possible, can you mark me brainliest?
The function F is given in 3 equivalent forms.
Which form most quickly reveals the y intercept?
Look at image below
Part 2: what is the y intercept?
Answers
The form that most quickly reveals the y intercept is
B f(x) = 1/2 x² - 5x + 21/2The y intercept is (0, 21/2)
What is y-intercept?The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
In the form, f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept
hence we can easily say that the y intercept is (0, 21/2)
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
216
,
36
,
6
,
.
.
.
216,36,6,...
Find the 7th term.
Find the 7th
Answers
Answer:
\(\dfrac{1}{216}\) = 0.005 (nearest thousandth)
Step-by-step explanation:
geometric series formula: \(a_n=ar^{n-1}\)
where a is the first term and r is the common ratio
Given:
\(a_1=216\)\(a_2=36\)\(a_3=6\)\(r=\dfrac{a_2}{a_1}=\dfrac{36}{216}=\dfrac16\)
\(\implies a_n=216 \cdot \dfrac16^{n-1}\)
\(\implies a_7=216 \cdot \dfrac16^{7-1}=\dfrac{1}{216}=0.005\)
Two fair 6-sided dice are rolled one at a time. Find the probability that
the first die lands on a value greater than 4 and the second die lands
on 2.
Answers
Answer:
Step-by-step explanation:
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
Answers
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.
Answers
the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.
A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.
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SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
Answers
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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14) Triangle ABC has vertices at A(-3, 4). B[4.-2), C(8,3) The triangle translates 4 units right and 3 units down. Which rule represents the translation? After the translation, what are the coordinates of vertex A?
A) (x,y) - (x + 4. y + 3); (1,7)
B) (X,Y) - (x + 4y - 3); A(1,1)
C) (x,y) - (x - 4, y + 3); (-7.1)
D) (x, y) = (x - 4. y - 3); A(1, -1)
Answers
Answer:
The answer is C I got wrong earlier sorry
Question 2 help meeee pleaseee
Thank you
Answers
3 cm/h easy peasy
Step-by-step explanation:
12 cm in 4 hrsFor 1 cm : 12/4 = 3 cmY (4)
+4y ′′
+4y=0 A general solution with x as the independent variable is y(x)=
Answers
Answer:
Step-by-step explanation:
We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.
For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,
y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0
(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.
Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get
yp″=a1+2a2x....yp‴=2a2+3a3x+....
Substituting the general solution into the non-homogeneous equation, we get
a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)
So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:
a(n+1)=Y(n-2)/n^2
From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.
Instructions: Identify the type of sequence and write the explicit rule. write Explicit Rule Sequence: -39, -45, 51, 57,... Type: Arithmetic e Explicit Rule:
Answers
The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.
To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...
By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.
Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.
Let's calculate the differences between consecutive terms:
-45 - (-39) = -6
51 - (-45) = 96
57 - 51 = 6
From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.
Let's calculate the ratios between consecutive terms:
-45 / (-39) ≈ 1.1538
51 / (-45) ≈ -1.1333
57 / 51 ≈ 1.1176
The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.
Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.
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Which of the following is most likely the next step in the series?
Answers
Answer:
The answer is C
Step-by-step explanation:
(I'm not completely sure)
what would a number line representing g≠7 look like help asap
Answers
Answer:
hollow circle at 7, with an arrow extending to the left
Step-by-step explanation:
Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT
Answers
Answer: 6 inches long and 4 inches wide
Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.
hope this helps
José put $1,500 into a savings account. He earns 3% interest every year. How much simple interest will he earn at the end of 3 years?
Answers
He would have a total of: $1639.09
In intrest alone he would've made 1639.09
Step-by-step explanation:
3%= 0.03
The first thing you do is multiply $1,500 by the %3 (0.03).When your done multiplying, you should get 45.Add 45 to 1500Now you have 1545Then you repeat the process over, two more times. However the numbers will change.I’ll give Brainly! Thank you :’)
Answers
========================================================
Explanation:
Recall the standard form of a quadratic is ax^2+bx+c
The 'b' is the coefficient of the x term. In this case, b = -6
Cutting that in half yields b/2 = -6/2 = -3
Then squaring that result gets us (b/2)^2 = (-3)^2 = 9
We must add 9 to both sides to complete the square.
--------
Extra info (optional section):
If we added 9 to both sides, we could then say the following
1 = x^2 - 6x
1+9 = x^2 - 6x + 9
10 = (x - 3)^2
(x-3)^2 = 10
Which would be useful to apply the square root rule to help isolate x.
Franco measured a house and
its lot and made a scale drawing.
The scale of the drawing was
10 centimeters = 1 meter.
What is the scale factor of the drawing?
(1) Simplify your answer and write
it as a fraction.
Answers
Scale factor of the drawing in simplified fractional form is 1/10.
Scale factor is represented and calculated as the ratio between the original and new objects, both having different dimensions. There are two possibilities, either the new object will be greater in size, termed scale up. Or, the new object will be smaller in size, termed scale down.
Scale factor = 10:1
As per the known fact, 1 meter = 100centimeters
Representing as fraction -
Scale factor = 10/100
Dividing the numerator and denominator of the fraction by 10
Scale factor = 1/10
Therefore, the scale factor of the drawing in simplified fractional form is 1/10.
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Find the midpoint of the line segment connecting the two points (5,-3) (-4,7)
Answers
Answer:
The answer is
\(( \frac{1}{2} \: , \: 2)\)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,-3) and (-4,7)
The midpoint is
\(M = ( \frac{5 - 4}{2} , \: \frac{ - 3 + 7}{2} ) \\ = ( \frac{1}{2} \: , \: \frac{4}{2} )\)We have the final answer as
\(( \frac{1}{2} \: , \: 2)\)Hope this helps you
which is the following is true about the graph of linear inequalities?
a.)it is a line
b.)it is a parabola
c.)it os a curve
d.)it is a half-plane
Answers
Answer:
d.) half-plane..
Reason:
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
4 divided by the sum of x and 1 equals the quotient of 3 and the difference of x and 1
Answers
Answer:
x=7
Step-by-step explanation:
Find the area of the region bounded by the parabola y=x^2 -7x+6 the x axis and the lines x=2 and x=6
Answers
Answer:
Step-by-step explanation:
The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes. What is the probability the trip takes more than 40 minutes?
Answers
Answer:
The probability is \(P(X > x) = 0.0013499\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 25\)
The standard deviation is \(\sigma = 5 \ minutes\)
The random number \(x = 40\)
Given that the time taken is normally distributed the probability is mathematically represented as
\(P(X > x) = P[\frac{X -\mu}{\sigma } > \frac{x -\mu}{\sigma } ]\)
Generally the z-score for the normally distributed data set is mathematically represented as
\(z = \frac{X - \mu}{\sigma }\)
So
\(P(X > x) = P[Z > \frac{40 -25}{5 } ]\)
\(P(X > x) = 0.0013499\)
This value is obtained from the z-table
Simplify the expression. 6c − 8d + 3c + 4d
Answers
Answer:
9c -4d
Step-by-step explanation:
6c − 8d + 3c + 4d
Combine like terms
6c + 3c − 8d +4d
9c -4d
write a letter to your friend telling her how you are coping in your new senior school
Answers
Answer:
?
Step-by-step explanation: