Answer:
Total Area= 89 cm^2
Step-by-step explanation:
area of triangle:
A = 0.5*base*height
A = 0.5*2*9
A = 9cm^2
area of rectangle:
A = L*W
A = 4*20
A = 80 cm^2
therefore
total area:
At = A1 + A2
Total Area = 9 + 80
Total Area= 89 cm^2
Assume the world population at the end of 2017 was 7.4 billion people. The population growth rate in 2018 is 1.07%. How many more people were on the planet at the end 2018?
At the end of 2018, the world population was approximately 7.53 billion people. This figure is calculated by taking the total population at the end of 2017, 7.4 billion people, and multiplying it by the population growth rate of 1.07%..
This means that the world population increased by approximately 130 million people in 2018. This population growth rate is consistent with the average growth rate of the world population over the last decade. While the population growth rate has been decreasing over the past few decades, it is still relatively high at 1.07%.
The high population growth rate is primarily due to high fertility rates in developing countries and a longer life expectancy in developed countries. This means that more people are born and fewer people die each year. As a result, the total population of the world increases each year.
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If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 5, what is the probability that out of 8 newly hired people?
Using binomial distribution, the probability of
a. 5 will still be with the company after 1 year is 28%.
b. at most 6 will still be with the company after 1 year is 89%.
The probability of a new employee in a fast-food chain still being with the company at the end of the year is given to be 0.6, which can be taken as the success of the experiment, p.
We are finding probability for people, thus, our sample size, n = 8.
Thus, we can show the given experiment a binomial distribution, with n = 8, and p = 0.6.
(i) We are asked for the probability that 5 will still be with the company.
Thus, we take x = 5.
P(X = 5) = (8C5)(0.6⁵)((1 - 0.6)⁸⁻⁵),
or, P(X = 5) = (56)(0.07776)(0.064),
or, P(X = 5) = 0.27869184 ≈ 0.28 or 28%.
(ii) We are asked for the probability that at most 6 will still be with the company.
Thus, our x = 6, and we need to take all values below it also.
P(X ≤ 6)
= 1 - P(X > 6)
= 1 - P(X = 7) - P(X = 8)
= 1 - (8C7)(0.6)⁷((1 - 0.6)⁸⁻⁷) - (8C8)(0.6)⁸((1 - 0.6)⁸⁻⁸)
= 1 - 8*0.0279936*0.4 - 1*0.01679616*1
= 1 - 0.08957952 - 0.01679616
= 0.89362432 ≈ 0.89 or 89%.
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The provided question is incomplete. The complete question is:
If the probability of new employee in a fast-food chain still being with the company at the end of 1 year is 0.6, what is the probability that out of 8 newly hired people,
a. 5 will still be with the company after 1 year?
b. at most 6 will still be with the company after 1 year?
what geometric shape forms the hole that fits an allen wrench
Answer:
A hexagon
Step-by-step explanation:
A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.
The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.
The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.
The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.
The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.
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the cost of 1 metre of plastic sheet ₹25 1/2. find the cost of 3 1/17 (ans should be ₹78)
Answer:
78
Step-by-step explanation:
1 metre of plastic sheet= 25 1/2
3 1/17 plastic sheet = x
Cross multiply
x = 3 1/17 × 25 1/2
x = 52/17 × 51/2
x = 2652/34
x = 78
Hence the price of 3 1/17 metre of plastic is ¥78
a) Find f(t).
ℒ−1
e−????s
s2 + 1
f(t)=? + (?) (t - ?)
The value of function, f(t) for L⁻¹ ( e−s /(s²+ 1)) is equals to sin( t - π ) u(t-π) .
The Laplace transform is the essential term of the given derivative function. Moreover, it comes with a real variable (t) for converting into complex function with variable (s). For ‘t’ ≥ 0, let ‘f(t)’ be given, the Laplace transform of ‘f(t)’, denoted by 'L{f(t)}' or ‘F(s)’ is definable with the equation:
\( L(f(t)) = F(s) = ₀∫^{ \infty } e⁻ˢᵗ f(t)dt\)
we have L⁻¹ ( e−s /(s²+ 1))
Now, L⁻¹ (1 /(s²+ 1)) = sin(t)
so, L⁻¹ ( e−s /(s²+ 1)) = sin( t - π ) u(t-π)
where u(t-π) is unit of step function.
so, required function f(t) is sin( t - π ) u(t-π).
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Complete question:
Find f(t) ℒ−1 (e−s /(s²+ 1))
f(t)=? + (?) (t - ?)
Help with this and I will give you the brainiest and you get 10 points
Answer:
1.-22
2.2
3.48
4.3b
5.1+5v
6.2m+20
7.p=-9
8.x=8
Add.
(4x - 3) + (2x - 4)
A. 6x+1
B. 6x - 1
C. 6x - 7
D. 6x + 7
Step-by-Step-explanation
Answer:
C. 6x-7
Step-by-step explanation:
4x+2x=6x
(-3)+(-4)=-7
6x-7
If ∠P and ∠R are given, as well as the value of p, then explain whether the Law of Sines or the Law of Cosines should be used to solve for r.
Law of Cosines, two sides and the included angle are known
Law of Cosines, all sides are known
Law of Sines, two angles and an opposite side are known
Law of Sines, two sides and an opposite angle are known
Answer:
Law of Sines
Step-by-step explanation:
You know two angles (∠P and ∠R) and the opposite side of ∠P (p).
Answer:
Law of Sines, two angles and an opposite side are known
Step-by-step explanation:
We know that...
In order to use the Law of Sines:
2 sides and an opposite angle must be given to find another angle2 angle and an opposite side must be given to find another sideIn order to use the Law of Cosines:
2 sides and the angle between them must be given to find the third sideall 3 sides must be given to find the angleSo now we know that there are 2 angles and an opposite side given. So that leads us to the answer: Law of Sines, two angles and an opposite side are known.
PLSSS HELP GIVING BRAINLIEST
The dot plots show the amounts, in dollars, that two waiters made in tips at different tables. Waiter A: Tips (dollars) 4 6 8 10 12 14 16 18 20 22 24 Waiter B: Tips (dollars) 8 10 12 14 16 18 20 22 24 Which of the following statements is correct? O A. The mean for waiter A is about the same as the mean for waiter B. B. The mean for waiter A is higher than the mean for waiter B. O C. There are more tips shown for waiter A than for waiter B in the dot plots. D. The mean for waiter A is lower than the mean for waiter B.
Answer:B
Step-by-step explanation:
Answer:
The mean of waiter A is higher then the mean of waiter B.
Step-by-step explanation:
Definition of graphThe link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of points with lines connecting them. It makes no difference how long the lines are or where the points are placed. A node is the name for each object in a graph.
Definition of dot plotA dot plot is a graphical representation of data that emphasizes quantitative data's general shape. It accomplishes this by listing all potential data values at the bottom of the page and displaying one dot above each value each time that data value appears.
The mean of waiter A is higher then the mean of waiter B.
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what is the value of x?
Answer:
The value of x is 8 cm
Step-by-step explanation:
we can see that there are two triangles
smaller triangle and larger triangle
and both triangles are similar
so, the ratio of their sides must be equal
we get
now, we can solve for x
we can cross multiply
Divide both sides by 5
Subtract both sides by 13
divide both sides by 2
please help, question is on the image.
The number of gigabytes Salma can use while staying in her budget is less than 4.
What is meant by the term inequality?In mathematics, an inequality is a connection between two expressions and values that aren't equal to each other.
Rule 1: Once inequalities are linked, they can be crossed. As a result, if an is greater than b and b is higher than c, a will be greater than c as well.Rule 2: When you swap the values, this same sign also flips.Rule 3: An inequality could be either > or, but not both at the same time.As per the given question;
The total budget of Salma is $75.
The flat cost is $55.
The cost per gigabytes is $5.
Let the number of gigabytes used be 'x'.
Then, the inequality becomes.
55 + 5x < 75
Subtracting 55 from both sides.
55 + 5x - 55 < 75 - 55
5x < 20
Divide both sides by the 5
x < 4
Thus, the number of gigabytes Salma can use while staying in her budget is less than 4.
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Select the correct answer.
A system of linear equations is given by the graph.
A. y=2/3x
y= -3/4x-5
B.y=-2/3x
y=3/4x - 5
C.y=3/4x
y=-2/3 -5
D.y=-3/4 x
y=2/3x - 5
The system of linear equations is y = -2/3x and y = 3/4x - 5
How to determine the system of linear equationsFrom the question, we have the following parameters that can be used in our computation:
Two lines
From the lines, we have
Line 1
Points (0, 0) and (3, -2)
So, the equation is
y = -2/3x
Line 2
Points (0, -5) and (4, -2)
A linear equation is represented as
y = mx + c
So, the equation is
y = mx - 5
At (-4, 2), we have
-2 = 4m - 5
This gives
4m = 3
So, we have
m = 3/4
This gives
y = 3/4x - 5
Hence, the system is y = -2/3x and y = 3/4x - 5
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The chart below shows the gumball colors in a machine and the probability of getting each color gumball out of the machine. Which color gumball is least likely to come out of the machine?
PLZZZZ I need help I don't understand probability
what is the answer to this equation?
6(x-7)+10
Answer:
32
Step-by-step explanation:
A function can only have one transformation
happen to it.
True
False
Answer:
False
Step-by-step explanation:
You can transform a function many times
:)
If the circumference of a circle measures \large 12\pi cm, what is the area of the circle in terms of \large \pi?
Answer:
Area= pi r^2
= 6^2 pi
= 36pi cm square.
Step-by-step explanation:
Answer: 36*pi cm
Step-by-step explanation:
Since the formula for the circumference is C=2*pi*r
12pi=2*pi*r we can divide and get r=6 cm
Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi cm.
make me brain list
Which expression is represented by the model?
Answer:
its the first one im doing it on edg right now
Step-by-step explanation:
The sample standard deviation of differences sd is equal to the difference of the sample standard deviations s1 - s2.
No, the sample standard deviation of differences (sd) is not equal to the difference of the sample standard deviations (s1 - s2).
The sample standard deviation of differences is a measure of the dispersion or spread of the differences between two sets of data. It is calculated by taking the square root of the average of the squared differences between each paired observation. On the other hand, s1 and s2 represent the individual sample standard deviations of two separate data sets. Simply subtracting these values (s1 - s2) does not give you the correct measure of the dispersion of the differences between the two sets of data.
The sample standard deviation of differences (sd) cannot be obtained by merely subtracting the sample standard deviations of the individual data sets (s1 - s2). Instead, the proper method for calculating the sample standard deviation of differences should be used.
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Please answer the question in the picture! ( the cylinder one)
The volume of the cylinder is 1413 cubic cm. Then the mass of the carbon will be 2741.22 grams.
What is density?The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object.
Then the density D will be
D = m / v g/cm³
The volume of the cylinder is given as,
V = (π/4) d²h
V = (π/4) x 10² x 18
V = 1413 cm³
Then the mass of the carbon is given as,
1.94 = m / 1413
m = 2741.22 grams
The mass of the carbon will be 2741.22 grams.
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Abigail is playing hide-and-seek with Gavin and Katie. Gavin is hiding 16 feet south of Abigail, and Katie is hiding 12 feet east of Gavin. How far apart are Abigail and Katie?
Answer:
Abigail and Katie are about 13.26 feet apart.
Step-by-step explanation:
The problem identifies that the three of the players create a right triangle. To find how far apart Abigail and Katie are, you can use the equation a^2 + b^2 = c^2, in which Gavin is a, and Katie is b. 12^2 + 16^2 = c^2, whereas c^2 = 176, and c = 13.26. Hope this helps.
Help! Which choice is the most efficient first step to solve this set of equations?
Answer:
Substitute 3x - 5 for y in the second equation.
Step-by-step explanation:
Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).
Then turn the system into the equation of only y (or x).
Next, try to solve for y (or x).
Then substitute the solved y (or x) into the original system to work out x (or y).
**********
3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).
=> Remaining option relating substitution would be a reasonable choice.
Pls help LOTS OF POINTS I am really confused and this is pretty easy so plaplslplsplspsl help
Answer: #4 is b
Step-by-step explanation:
The figure below to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x)?g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f)?Average(g)=Average(f?g)
A. Yes
B. No
The average value of both f(x) and g(x) on 0≤x≤2 is 1/4. The average value of (f.g) on 0≤x≤2 is 0 and the statement avg(f) . avg(g) = avg(f . g) is false.
avg value of a function = 1/(b - a) ∫f(x) with limts a and b. Here a and b are the constraints under which the average has to be calculated.
a)
Hence average value of f(x) on 0≤x≤2
= 1/2 ∫f(x) with 0 and 2 as intervals
Since integration is basically the area under the curve we get
avg of f(x) = 1/2[area under curve from 0 to 1 + Area under the curve from 1 to 2]
Since from 0 to 1, the figure is a triangle and beyond that a straight line we get
1/2[1/2 X 1 X 1 + 0]
= 1/4 sq units
b)
Similarly, the average value of g(x) on 0 ≤ x ≤ 2
1/2[area from 0 to 1 + area from 1 to 2]
= 1/2[0 + 1/2]
= 1/4 sq units
c) here we need to find the average of f(x) . g(x)
Here we see that f(x) is 0 from x = 1 to x = 1 while g(x) id 0 from x = 0 from x = 1
Hence we see that on multiplying the functions, the resultant has to be a 0 function.
Hence its average value will be 0.
d)
Average(f) . Average(g) = 1/4 X 1/4
= 1/16
Average of (f.g) = 0
Hence the statement is false
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Complete Question
The figure attached to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x) . g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f) . Average(g)=Average(f.g)
A. Yes
B. No
What is the equation of this line?
y= −3/2x
y= −2/3x
y= 3/2x
y= 2/3x
Plz Help my grade depends on this
Answer:
C hope it helppppssssss
y= 3/2x
Step-by-step explanation:
BTW the right angle triangle has the measurements of 17,8 & 15 - can't post the answer to that question.
Hope this helps!
PLS HELP!!!!
A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. Which of these statements could be true?
f There are exactly 9 red apples and 13 yellow apples in the bag.
g There are exactly 6 red apples and 1 yellow apple in the bag.
h There are exactly 18 red apples and 8 yellow apples in the bag.
j There are exactly 4 red apples and 9 yellow apples in the bag.
There are exactly 18 red apples and 8 yellow apples in the bag. Then the correct option is C.
Given that:
Ratio, Red : Yellow = 9 : 4
The utilization of two or more additional numbers that compares is known as the ratio.
The ratio can be written as,
Red : Yellow = 9 : 4
Red : Yellow = 9 x 2 : 4 x 2
Red : Yellow = 18 : 8
There are exactly 18 red apples and 8 yellow apples in the bag. Then the correct option is C.
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Help me on this question please
The measure of angle DAB in the given quadrilateral can be calculated as: 109°.
How to Find the Measure of an Angle in a Quadrilateral?To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.
Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.
Thus, we have:
m<DAB = 360 - (90 + 97 + 64)
m<DAB = 360 - 251
m<DAB = 109°
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HELP ME PLS...................TY
Answer:
E
Step-by-step explanation:
the only one where all the pieces of the equation have the same signs
A banana split costs $2.50. A milkshake costs $1.70. Bobby,Jack, and Ted ordered one of each and split the cost. How much does each boy owe?
Answer:
$4.20
2.50+1.70=4.20
Answer:
Jack= $4.20
Bobby=$4.20
Ted=$4.20
Step-by-step explanation: This is the answer because if you add up all the drinks the total they payed is $12.60 so you just divided that by how many people there are and get $4.20
HELP PLEASE
identify the solution to the system of equations
Answer:
solved graphically,
it's just the point where the two lines intersect
Find dy/dx for the equation below. 8x 4 +6 squ. root of xy =8y 2
The derivative of the given equation with respect to x is (32x3 + 3√y) / (8y - 3xy(-1/2)).
The given equation is:8x4 + 6√xy = 8y2We are to find dy/dx.To solve this, we need to use implicit differentiation on both sides of the equation.
Using the chain rule, we have: (d/dx)(8x4) + (d/dx)(6√xy) = (d/dx)(8y2).
Simplifying the left-hand side by using the power rule and the chain rule, we get: 32x3 + 3√y + 6x(1/2) * y(-1/2) * (dy/dx) = 16y(dy/dx).
Simplifying the right-hand side, we get: (d/dx)(8y2) = 16y(dy/dx).
Simplifying both sides of the equation, we have:32x3 + 3√y + 3xy(-1/2) * (dy/dx) = 8y(dy/dx)32x3 + 3√y = (8y - 3xy(-1/2))(dy/dx)dy/dx = (32x3 + 3√y) / (8y - 3xy(-1/2))This is the main answer.
we can provide a brief explanation on the topic of implicit differentiation and provide a step-by-step solution. Implicit differentiation is a method used to find the derivative of a function that is not explicitly defined.
This is done by differentiating both sides of an equation with respect to x and then solving for the derivative. In this case, we used implicit differentiation to find dy/dx for the given equation.
We used the power rule and the chain rule to differentiate both sides and then simplified the equation to solve for dy/dx.
Finally, the conclusion is that the derivative of the given equation with respect to x is (32x3 + 3√y) / (8y - 3xy(-1/2)).
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