Tο depict the relatiοnship between twο numerical variables using Data visualizatiοn that is knοwn as a scatterplοt.
What is a Scatterplοt?Using this scatterplοt, we graphed a line using linear regressiοn. This line can use as οur reference pοint and ignοre the rest οf the pοints οn the graph.
We will examine this graph and try tο find apprοximately what value οf y is given when we prοvide an x value.
Since the number οf hits is the x value, tο find hοw high the graph gοes at that x value we can lοοk at the graph tοο.
Right between 100 and 150 is 125, sο we can nοw start there and mοve up.
When we mοve up, we get a line that's between 10 and 20. We can alsο view it's in the tοp half οf that bοx. That means the value οf y fοr this will be mοre than 15.
Since it's nοt lying directly οn 20, we have the οnly οptiοn left is 18.
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Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The length of the segment indicated is c = c = 9.92.
What is Pythagoras' theorem?Pythagoras discovered that the square of the hypotenuse in a right-angled triangle with a 90° angle is equal to the sum of the squares of the other two sides.
The triangle has three sides: the hypotenuse, which is always the longest, the opposite, which doesn't touch the hypotenuse, and the adjacent (which is between the opposite and the hypotenuse).
a² = b² + c²
a = 19
b = 16.2
c or x =?
19² = 16.2² + c²
361 = 262.4 + c²
c² = 98.6
c = √98.6
c = 9.92
Therefore, the length of the segment indicated is c = 9.92.
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Is 6x-2 equivalent to 2-6x
Answer:
No
Step-by-step explanation:
6x-2
Factor out -1
( - -6x + -2)
- ( -6x +2)
- ( 2 -6x)
This is not equal to (2+6x) because of the negative sign out front.
A container built for transatlantic shipping is constructed in the shape of a right
rectangular prism. Its dimensions are 2.5 ft by 13.5 ft by 9 ft. If the container is
entirely full and, on average, its contents weigh 0.28 pounds per cubic foot, find the
total weight of the contents. Round your answer to the nearest pound if necessary.
The volume of a right rectangular prism is given by the formula below
[tex]V=whl[/tex]
Thus, in our case,
[tex]V=2.5\times13.5\times9=303.75[/tex]
The volume of the container is 1116.5ft^3.
Finally, multiply the total volume by the density given in the problem, as follows
[tex]weight=303.75\times0.28=85.05[/tex]
⇒ [tex]weight[/tex] ≈ [tex]85[/tex]
Rounded to the nearest pound, the answer is 85 pounds.
What is the center of this ellipse?
(x-3)^2/4 + (y - 1)^2/9 = 1
The center of the ellipse is,
⇒ (3, 1)
What is an expression?An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called an mathematical expression.
We have to given that;
The equation of ellipse is,
⇒ (x - 3)²/4 + (y - 1)²/9 = 1
Now, We know that;
General form of the ellipse is,
⇒ (x - h)²/a + (y - k)²/b = 1
Where, (h, k) = the center of the ellipse.
Hence, We get;
The equation of ellipse is,
⇒ (x - 3)²/4 + (y - 1)²/9 = 1
By comparing;
The center of the ellipse is,
⇒ (h, k) = (3, 1)
Thus, The center of the ellipse is,
⇒ (3, 1)
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2. (a) If the moments of variate 'X' are defined by E(X") 0.6, r = 1, 2, 3, that P(X 0) - 0.4, P(x P (x2) - 0. 2 show 1) = 0.6, 6 (b) What do you mean by convergence in probability ? State two laws of
The moments of a variate 'X' are defined by the expected value of the variate raised to the power of r, where r is an integer. In this case, the moments of 'X' are defined by E(X^r) = 0.6, for r = 1, 2, 3. This means that the expected value of X, X^2, and X^3 are all equal to 0.6. The probability of an event occurring is represented by P(X). In this case, P(X > 0) = 0.4, P(X = 1) = 0.6, and P(X^2 = 1) = 0.2. Convergence in probability refers to the concept that a sequence of random variables converges to a specific value with a probability of 1 as the number of trials approaches infinity.
These probabilities represent the likelihood of X being greater than 0, equal to 1, and squared equal to 1, respectively. This means that the probability of the sequence being within a certain distance of the specific value approaches 1 as the number of trials increases.
Two laws of convergence in probability are the Law of Large Numbers and the Central Limit Theorem. The Law of Large Numbers states that the average of a sequence of random variables converges to the expected value as the number of trials approaches infinity. The Central Limit Theorem states that the distribution of the sum of a sequence of random variables approaches a normal distribution as the number of trials approaches infinity.
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Rewrite the quantity as an algebraic expression of \( x \) and state the domain on which the equivalence is valid. \[ \cot (\arcsin (x))=\sqrt{\frac{\sqrt{1-x^{2}}}{x}} \] Domain:
The domain of the expression is \( [-1,1] \).
To rewrite the quantity as an algebraic expression of \( x \), we need to use the definition of the cotangent function and the relationship between the sine and cosine functions. The cotangent function is defined as \[ \cot (\theta)=\frac{1}{\tan (\theta)}=\frac{\cos (\theta)}{\sin (\theta)} \]Using the relationship between the sine and cosine functions, \[ \cos^{2} (\theta)=1-\sin^{2} (\theta) \]we can rewrite the cotangent function in terms of the sine function as \[ \cot (\theta)=\frac{\sqrt{1-\sin^{2} (\theta)}}{\sin (\theta)} \]Substituting \( \arcsin (x) \) for \( \theta \) gives us \[ \cot (\arcsin (x))=\frac{\sqrt{1-\sin^{2} (\arcsin (x))}}{\sin (\arcsin (x))} \]Since \( \sin (\arcsin (x))=x \), we can simplify the expression to get \[ \cot (\arcsin (x))=\frac{\sqrt{1-x^{2}}}{x} \]This is the algebraic expression of the quantity in terms of \( x \).
The domain of the expression is the set of values of \( x \) for which the expression is defined. Since the expression involves a square root, we need to ensure that the radicand is non-negative. This gives us the inequality \[ 1-x^{2}\geq 0 \]Solving for \( x \) gives us the inequality \[ -1\leq x\leq 1 \]Therefore, the domain of the expression is \( [-1,1] \).
In conclusion, the quantity can be rewritten as an algebraic expression of \( x \) as \[ \cot (\arcsin (x))=\frac{\sqrt{1-x^{2}}}{x} \]and the domain on which the equivalence is valid is \( [-1,1] \).
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Can someone explain how to graph quadratic functions please i'm so confused
To graph a quadratic function, follow the steps explained to obtain the smooth curve of the quadratic function.
What is the graph of a quadratic function?
Graphing quadratic functions involves plotting the points on a coordinate plane that satisfy the equation of the function. Quadratic functions are typically written in the form:
f(x) = ax^2 + bx + c
where;
a, b, and c are constants.To graph a quadratic function, you can follow these steps:
Determine the vertex of the parabola. The vertex is the highest or lowest point on the parabola and is given by the formula:x = -b / 2a
y = f(x)
You can find the x-coordinate of the vertex by using the formula above, and then substitute it into the function to find the corresponding y-coordinate.
Determine the y-intercept of the parabola. The y-intercept is the point where the parabola intersects the y-axis, and it can be found by setting x = 0 in the function and solving for y.Find the x-intercepts of the parabola, if they exist. The x-intercepts are the points where the parabola intersects the x-axis, and they can be found by setting y = 0 in the function and solving for x. If the discriminant (b^2 - 4ac) is negative, then the parabola does not intersect the x-axis.Plot the vertex, y-intercept, and any x-intercepts on a coordinate plane. The vertex is the highest or lowest point on the parabola and is located on the axis of symmetry, which is the vertical line passing through the x-coordinate of the vertex.Draw the parabola by sketching a smooth curve through the points you've plotted. If the coefficient a is positive, the parabola opens upwards and if a is negative, the parabola opens downwards.Learn more about quadratic function here: https://brainly.com/question/1214333
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A fruit bowl contains a mixture of oranges kiwis and limes the ratio of oranges to kiwis is 3:5 steve picks a fruit at random from the fruit bowl the probability of it being a orange is 1/4 what is the probability that it is a lime
The probability of Steve picking a lime at random from the fruit bowl is 1/3.
How to evaluate for the probability of picking a lime.Using the ratio given to find the proportion of oranges and kiwis in the fruit bowl. Let the number of oranges be 3x and the number of kiwis be 5x. Then the total number of fruits in the bowl is 3x + 5x + L, where L is the number of limes.
Given probability of picking an orange is 1/4, probability of picking a particular fruit from the bowl is calculated as:
number of that fruit / total number of fruits
1/4 = 3x / (3x + 5x + L)
Simplifying this equation, we get:
3x + 5x + L = 12x
L = 4x.
Substituting L = 4x and simplifying, we get:
probability of picking a lime = 4x / (3x + 5x + 4x) = 4/12 = 1/3
Therefore, the probability of picking a lime from the fruit bowl is 1/3.
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HELPPP
PLEASE SOLVE IT AND USE ANY STRATEGIES
Answer:
Mate show the full picture please..half of the question is not shown.
Step-by-step explanation:
The parametric equations of a curve are:
2x=
cotθ
-
cscθ and
4y=2cscθ-
2cotθ
Find the Cartesian equation ( y = f(x)) for
the curve
The Cartesian equation ( y = f(x)) for the curve is y = -x.
To find the Cartesian equation of the curve, we need to eliminate the parameter θ from the given parametric equations. We can do this by rearranging the equations and solving for θ in terms of x or y, and then substituting that value into the other equation.
First, let's rearrange the first equation to solve for cotθ:
2x = cotθ - cscθ
2x + cscθ = cotθ
cscθ - cotθ = -2x
Next, let's rearrange the second equation to solve for cscθ:
4y = 2cscθ - 2cotθ
2cscθ = 4y + 2cotθ
cscθ = 2y + cotθ
Now, let's substitute the value of cscθ from the second equation into the first equation:
2y + cotθ - cotθ = -2x
2y = -2x
y = -x
Therefore, the Cartesian equation of the curve is y = -x.
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i’m the diagram , triangle NPQ is similar to triangle NLM and PL = 5, find the lengths of NP AND NL
Therefore , the solution of the given problem of triangle comes out to be NL = √(100 + 20LM2) * 10 * 4 .
What is a triangle exactly?A triangular is a polygon because it has 2 different or more additional parts. It has a straightforward rectangle form. Only the sides A, B, and C can differentiate a triangle from a parallelogram. When the sides are not exactly collinear, Euclidean geometry results in a singular surface rather than a cube. If a shape has three edges and three angles, it is said to be triangular. The intersection of a quadrilateral's three edges is known as an angle. The sum of a triangle's edges is 180 degrees.
Here,
By removing NP:, we can resolve this system of equations.
NL Equals NP(LM + NL + 5). (5 - LM)
NL = NP(LM - PQ + 5) (LM)
NL(5 - LM) = NP(LM + NL + 5)(LM - PQ + 5) (LM)
By enlarging and condensing, we obtain:
NP = 2NL Plus LM / 5LM
Now that we know this, we can put it into one of the equations to find NL:
(2NL Plus LM / 5LM)
NL = (LM Plus NL + 5) (5 - LM)
By condensing and rearrangeing, we obtain:
(2NL Plus LM) = 0 when (NL2 - 10NL - 5LM2)
The quadratic algorithm yields:
NL = √(100 + 20LM2) * 10 * 4 alternatively,
=> NL = (10 - √(100 + 20LM2)) / 4
NL can never be negative, so we pick the positive root:
NL = √(100 + 20LM2) * 10 * 4
Now that we have this, we can put it into one of the equations to find NP:
NP = 2NL Plus LM / 5LM
NP = 5LM / (2(10 + √100 + 20LM^2)) / 4 + LM)
NP is equal to 5LM / (5 + √(25 + 5LM2)).
The widths of NP and NL are as follows:
NP is equal to 5LM / (5 + sqrt(25 + 5LM2)).
NL = (10 - √(100 + 20LM2)) / 4
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If cot (x) = 5/3 (in Quadrant-I), find
sin(2x) = _________ (Please enter answer accurate to 4 decimal places.)
The answer is sin(2x) = 0.8824.
If cot(x) = 5/3, we can use the identity cot(x) = 1/tan(x) to find the value of tan(x). Therefore, tan(x) = 1/(5/3) = 3/5.
Now, we can use the identity sin(2x) = 2sin(x)cos(x) to find the value of sin(2x). First, we need to find the values of sin(x) and cos(x).
Since tan(x) = 3/5, we can use the Pythagorean identity 1 = sin^2(x) + cos^2(x) to find the values of sin(x) and cos(x).
Let's assume sin(x) = 3/a and cos(x) = 5/a. Then, we can plug these values into the Pythagorean identity and solve for a:
1 = (3/a)^2 + (5/a)^2
1 = 9/a^2 + 25/a^2
1 = 34/a^2
a^2 = 34
a = √34
Therefore, sin(x) = 3/√34 and cos(x) = 5/√34.
Now, we can plug these values into the identity sin(2x) = 2sin(x)cos(x) to find the value of sin(2x):
sin(2x) = 2(3/√34)(5/√34)
sin(2x) = 30/34
sin(2x) = 0.8823529411764706
To 4 decimal places, sin(2x) = 0.8824.
the answer is sin(2x) = 0.8824.
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Use the Corresponding Angles Converse and ∠ 1 ≅∠2 to show that I // m.
Therefore , the solution of the given problem of angles comes out to be Lines I and m can be inferred to be parallel by the Corresponding Angles Converse .
An angle's meaning is what?An angle is a shape in Euclidean geometry consisting of two rays, or sides of a circular, that split at the angle's apex and the angle's apex, which is in the middle. Where they are located, two rays can join to form an angle. Angle is another outcome of two entities interacting. They are known as dihedral angles.
Here,
The Corresponding Angles Converse states that if two parallels are intersected by a transversal such that a set of corresponding angles are congruent, then perhaps the two lines are parallel.
This can be used to demonstrate that lines I and m are parallel.
We can infer that 1 and 2 are corresponding angles because 1 2.
We can infer that they have the same measure because they are congruent.
Let's now think about the transversal line t. Lines I and m can be inferred to be parallel by the Corresponding Angles Converse because 1 and 2 are corresponding angles and t crosses both I and m.
We have thus demonstrated that I / m.
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HELP!!!
Zach earns $37.50 every weekend for delivering newspapers. Zach is saving his earnings in order to buy a new computer that costs $470.80. If Zach already has $58.30, enter the minimum number of weekends Zach will need to work before he has enough money to buy the computer.
Answer: 11 weekends
Step-by-step explanation: I did 470.80 divided by 37.50 and got 12 with a decimal, so then I multiplied 37.50 by 11 and got 412.5, then added the 58.30 .
Answer:
Step-by-step explanation:
So first you have to subtract the total that the computer costs by how much zach already has. Then you get 411.7. Then you have to divide 411.7 by 37.50 to get how many weeks it takes to get the computer. Which is 10.96 or 11. 11 weeks is the answer! You can check this by multiplying 37.50 by 11 and add 58 because he already has that money, you will get 470! which is close so there you go!
Compare the numbers 144 and 12. 9329....
Select from the drop-down menu to correctly complete the statement.
√144 is
is Choose... v 12.9329...
Two comparations can be done:
√144 is rational and 12.9329... is irrational.12.9329...> √144 How to compare the two numbers?I understand that we want to compare the numbers:
√144 and 12.9329...
Notice that the second number has infinite decimals after the decimal point (and there is no a clear pattern), so it is an irrational number.
For the first one, we know that:
12*12 = 144
So 144 is a perfect square, then when we apply the square root we will get:
√144 = 12
Then the two comparations are:
√144 is rational and 12.9329... is irrational.
And:
12.9329...> √144
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Find the area of the composite figure below.
The tοtal area οf the cοmpοsite figure is 358.38 mm² (rοunded tο twο decimal places).
What is Area?Area is the measurement οf the size οf a surface οr a regiοn in a 2D plane, typically measured in square units. It is calculated by multiplying the length and width οf a surface οr regiοn fοr simple shapes like rectangles, οr by using fοrmulas specific tο each shape fοr mοre cοmplex shapes.
The area οf a semicircle with radius r is given by (π/2)r², and the area οf a trapezium with height h and parallel sides a and b is given by (h/2)(a+b).
Substituting the given values, we get
Area οf semicircle = (π/2)(9mm)² = 81π/2 mm²
Area οf trapezium = (13mm/2)(7mm+18mm) = 227.5 mm²
Therefοre, the tοtal area οf the semicircle and trapezium is:
81π/2 + 227.5 ≈ 358.38 mm²(rοunded tο twο decimal places).
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PLEASE HELP ASAP
A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, how many oz would be in each dish?
A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, each dish would have 3.67oz of food.
To find out oz would be in each dish, we need to divide the total amount of food the dog needs to eat daily (11oz) by the number of dishes (3). This will give us the amount of food in each dish.
Here's the math:
11oz ÷ 3 dishes = 3.67oz per dish
So, each dish would have 3.67oz of food.
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Tell whether each scale reduces enlarges or preserves the size of an actual object
1 cm:12 m
6 ft: 10 in
1km : 1000 m
Answer and Step-by-step explanation:
1 cm: 12 m
This scale reduces the size of an actual object. For example, if a car is 4 meters long in real life, it would be represented as 0.33 cm on a map that uses this scale (4 meters divided by 12).
6 ft: 10 in
This scale enlarges the size of an actual object. For example, if a room is 10 feet wide in real life, it would be represented as 60 inches on a blueprint that uses this scale (10 feet multiplied by 6).
1 km: 1000 m
This scale preserves the size of an actual object. For example, if a park is 2 kilometers wide in real life, it would be represented as 2000 meters on a map that uses this scale.
Cleo added 3a + 4b and got 7ab. Three of these statements explain why her answer is wrong. Which does NOT?
3a and 4b are not like terms, hence they cannot be added, and the result of the expression is 3a + 4b and not 7ab.
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted.
3a and 4b on this problem are not like terms, as the letters, in this case a and b, are different.
Thus, the expression cannot be simplified, as only like terms, which are terms whose definition we gave in this explanation, can be simplified.
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Find all exact solutions on the interval [0, 2π). Look for opportunities to use trigonometric identities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
I know the right answers, but am not sure how to get there. Answers are 11pi/6,7pi/6 and pi/2
Please help.
sin2(x) − cos2(x) − sin(x) = 0
The exact solutions to the equation sin^2(x) - cos^2(x) - sin(x) = 0 in the interval [0, 2π) are π/2, 7π/6, and 11π/6.
How to determine the exact solution to the equationGiven that
sin^2(x) - cos^2(x) - sin(x) = 0
Let's use the identity cos^2(x) + sin^2(x) = 1 to rewrite the equation:
sin^2(x) - (1 - sin^2(x)) - sin(x) = 0
Open the bracket and evaluate the like terms
2sin^2(x) - sin(x) - 1 = 0
Now we can solve for sin(x) using the quadratic formula:
sin(x) = [-b ± √(b² - 4ac)]/2a
Where
a = 2, b = -1 and c = -1
So, we have
sin(x) = [1 ± √((-1)² - 4 * 2 * -1)]/2*2
sin(x) = [1 ± √9]/4
sin(x) = (1 ± 3) / 4
Evaluate and split
sin(x) = 1 or sin(x) = -1/2.
If sin(x) = 1, then x = π/2.
If sin(x) = -1/2, then we can use the unit circle to find the solutions in the interval [0, 2π):
sin(x) = -1/2 when x = 7π/6 or 11π/6.
Therefore, the solutions in the interval [0, 2π) are π/2, 7π/6, and 11π/6.
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How do you graph y=1/2x and y=x+2
Answer:
To graph y = 1/2x and y = x + 2, follow these steps:
Make a table of values for each equation. Choose several values of x, plug them into the equation, and solve for y. For y = 1/2x, you might choose x = -2, -1, 0, 1, and 2. For y = x + 2, you might choose the same values of x.
For y = 1/2x:
x | y
-2 | -1
-1 | -1/2
0 | 0
1 | 1/2
2 | 1
For y = x + 2:
x | y
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
Plot the points from each table on a graph. For y = 1/2x, plot the points (-2, -1), (-1, -1/2), (0, 0), (1, 1/2), and (2, 1). For y = x + 2, plot the points (-2, 0), (-1, 1), (0, 2), (1, 3), and (2, 4).
Draw a line through each set of points. The line for y = 1/2x should have a slope of 1/2 and pass through the point (0, 0). The line for y = x + 2 should have a slope of 1 and pass through the point (0, 2).
Label the axes and the lines. You can label the x-axis "x" and the y-axis "y". Label the line for y = 1/2x "y = 1/2x" and the line for y = x + 2 "y = x + 2".
Check your graph. Make sure each point is plotted correctly and the lines are drawn accurately. You can also check your graph by plugging in other values of x and making sure the corresponding points are on the lines.
Use simultaneously equation to eliminate one value and find the other then you find the value of the other one by substituting the value that u find from the other one eg: eliminate X find the value of y and then substitute y in one of your equation to find the value of X.
need someone to help me understand how to do an Exponential Equation
Answer: p = (3.6 x 10^4)(0.03)^2
Step-by-step explanation:
You have a negative bank balance of $75. You deposit $6.50 per day and now has a positive bank balance of $81. How many days did it take her to reach $81?
It took 24 days for the bank balance to increase from -$75 to $81 with daily deposits of $6.50.
How to determine the number of daysLet's start by figuring out how much the bank balance increased by each day.
If the starting bank balance was -$75 and the ending bank balance was $81, then the total increase was:
$81 - (-$75) = $156
If she deposited $6.50 per day, then the bank balance increased by $6.50 each day.
So we can divide the total increase by the daily increase to find out how many days it took to reach $81:
$156 ÷ $6.50 per day = 24 days
Hence, the number of days is 24
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Let B be an invertible matrix such that B^(-1) (see photo)
Find the solution of the equation Bx = (see photo)
Bx = 1
2
3
B^-1 = -1 0 1
2 2 0
1 0 1
The solution of the equation Bx = 1 2 3 is x = 2 6 4.
To find the solution of the equation Bx =
1
2
3
, we can multiply both sides of the equation by the inverse of B, B^-1. This will give us:
B^-1 Bx = B^-1
1
2
3
Since the product of a matrix and its inverse is the identity matrix, I, we can simplify the left side of the equation to:
Ix = B^-1
1
2
3
And since the product of the identity matrix and any vector is just the vector itself, we can simplify further to:
x = B^-1
1
2
3
Now, we can plug in the given values for B^-1 and the right side of the equation to find the solution for x:
x =
-1 0 1
2 2 0
1 0 1
*
1
2
3
Multiplying the matrices gives us:
x =
(-1)(1) + (0)(2) + (1)(3)
(2)(1) + (2)(2) + (0)(3)
(1)(1) + (0)(2) + (1)(3)
Simplifying further gives us:
x =
2
6
4
So, the solution of the equation Bx = 1 2 3 is x = 2 6 4
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We use the factor theorem, which states that if k is a root of the polynomial equation In our problem, we hawe P(2)=0 and P(-3)-0, Thus, x-2 and x+3 are both fact,
We can write P(x) as P(x) = (x - 2)(x + 3)Q(x), where Q(x) is another polynomial.
This is the factored form of P(x), and it can be used to find other roots or to simplify the polynomial equation.
The factor theorem is a useful tool in finding the factors of a polynomial equation. The theorem states that if k is a root of the polynomial equation P(x) = 0, then x - k is a factor of P(x).
In our problem, we have P(2) = 0 and P(-3) = 0. This means that 2 and -3 are both roots of the polynomial equation P(x) = 0. According to the factor theorem, this means that x - 2 and x + 3 are both factors of P(x).
Therefore, we can write P(x) as P(x) = (x - 2)(x + 3)Q(x), where Q(x) is another polynomial. This is the factored form of P(x), and it can be used to find other roots or to simplify the polynomial equation.
In conclusion, the factor theorem is a useful tool in finding the factors of a polynomial equation. In our problem, we used the factor theorem to find the factors x - 2 and x + 3 of the polynomial equation P(x) = 0.
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The number of days, D, to complete resarch is inversely proportional to the number of resaerchers, R, who are working. The research takes 125 days to complete with 16 people working on it. How many people are needed for 40 days?
Answer:
50 people
Step-by-step explanation:
Given a research project that take 16 people 125 days to complete, you want to know the number of people needed to complete the project in 40 days.
People-daysIn math, project effort is measured in people×days. That value is considered to be a constant for a given project. This makes the number of people inversely proportional to the number of days, and vice versa.
(16 people)×(125 days) = 2000 people·days = (p people)×(40 days)
Dividing by 40 days, we have ...
p people = (2000 people·days)/(40 days) = 50 people
50 people are needed to complete the research in 40 days.
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Additional comment
In real life, more people may get in each other's way. Or too few people may cause motivation, cooperation, and synergy to be lost. The maxim, "adding people to a late project makes it later" has a certain basis in reality.
Mary has $400 in her bank account. She buys an iPad for $475. What is her account balance now?
Answer:
- 75.00
Step-by-step explanation:
400 - 475 = - 75
Helping in the name of Jesus.
Answer:
She's in debt $75
Step-by-step explanation:
475-400=-75
A circle of radius 10cm has a rectangle ABCD inscribed in the first quadrant. Find |AC| (ignore blue pen)
According to the Pythagorean theorem, |AC| = 10 * sqrt(5/3)
What is the theory of the Pythagorean Theorem?The Pythagorean Theorem states that the square on the tangent line (the side across from the right angle) of a right triangle, or, in standard algebraic form, a2 + b2, are equal to a square just on legs.
What practical applications of the Pythagorean Theorem exist?The following are some significant applications of the Pythagoras theorem in daily life: used in architecture and building. used to determine the shortest distance in two-dimensional navigation.
Since the diagonals of a rectangle are identical, the Pythagorean theorem states that AB = CD and BC = AD.
Using the Trigonometry once more, but this times with the edges of the rectangle, we can get d.
Lastly, by applying the right triangle's sides to the Pythagorean theorem, we may determine AC. ACD:
[tex]AC=\frac{500}{3}=10*\frac{5}{3}[/tex]
Therefore, |AC| = 10*(5/3)
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Find the measure of angle R.
17.2°
16.1°
70.1°
88.6°
Answer:
16.1 is the closest asnwer
Step-by-step explanation:
if you didn't understand feel free to send me a message bro
How to solve probability?
The runner should choose the second cooler, because the probability of selecting a sports drink and a water from the first cooler is about 24.98% and the second cooler is about 25.86%.
To calculate the probability of selecting a sports drink and a water bottle from each cooler, we need to use the following formula:
Probability of selecting a sports drink and a water bottle = (number of sports drinks / total number of bottles) x (number of water bottles / (total number of bottles - 1))
For the first cooler, the probability of selecting a sports drink and a water bottle is:
(19/39) x (20/38) = 0.2498, or about 24.98%
For the second cooler, the probability of selecting a sports drink and a water bottle is:
(14/29) x (15/28) = 0.2586, or about 25.86%
Therefore, the runner should choose the second cooler, because it has a slightly higher probability of selecting a sports drink and a water bottle.
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