Answer: In a right-angled triangle, we can use the Pythagorean Theorem to find the length of the remaining side. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the length of side BC can be found using the Pythagorean Theorem:
BC^2 = AB^2 + AC^2
BC^2 = 10.5^2 + 5.2^2
BC^2 = 110.25 + 27.04
BC^2 = 137.29
BC = √137.29
BC ≈ 11.68 m
Now that we have the length of side BC, we can use the inverse cosine function (cos^-1) to find the angle ∠CBA:
∠CBA = cos^-1 (BC / AB)
∠CBA = cos^-1 (11.68 / 10.5)
∠CBA ≈ 68.194°
Rounding to 3 significant figures, the answer is ∠CBA = 68.2°.
Step-by-step explanation:
Look at the pic please
Answer:its a graph
Step-by-step explanation:
Answer:
Step-by-step explanation:
a. Fishman, Goron, Smith, other.
b. 98 people
Use the percent formula:
P% of number = x in this case it's 35/100 * 280 = x
x = 98
c. No because it is estimated. I typed it into my calculator and when I did the percentage formula with other and used 280 as my other number, I get 28, when it says 40 people had voted for other.
phone models a particular cell phone company offers models of phones, each in different colors and each available with any one of calling plans. how many combinations are possible?
The number of combinations that are possible for 4 cell phone models of 6 colors with 5 calling plans is 120 .
We have to find the total number of combinations of cell phone models, colors, and calling plans,
So , we multiply the number of choices for each category.
By Using the multiplication principle of counting:
⇒ Total number of combinations = (number of phone models) × (number of colors) × (number of calling plans) ;
⇒ 4 × 6 × 5
⇒ 120
Therefore, there are 120 possible combinations of cell phone models, colors, and calling plans from this particular cell phone company.
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The given question is incomplete , the complete question is
A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with an one of 5 calling plans. How many combinations are possible ?
A. Write the word " SOLUTION" below the point/s that will satisfy the linear inequality y ≥ x + 4.show you solution
pati din B ah
The solution that will satisfy the linear inequality y ≥ x + 4 include the following:
2. (-1, 4).
4. (0, 4).
How to determine the solution?In order to determine which ordered pairs are valid and true solutions based on the given linear inequality, we would have to test the given ordered pairs by substituting their values into the linear inequality as follows;
For ordered pair (0, 0), we have:
y ≥ x + 4
0 ≥ 0 + 4
0 ≥ 4 (False).
For ordered pair (-1, 4), we have:
y ≥ x + 4
4 ≥ -1 + 4
4 ≥ 3 (True).
For ordered pair (2, 3), we have:
y ≥ x + 4
3 ≥ 2 + 4
3 ≥ 6 (False).
For ordered pair (0, 4), we have:
y ≥ x + 4
4 ≥ 0 + 4
4 ≥ 4 (True).
For ordered pair (-1, 4), we have:
y ≥ x + 4
0 ≥ -1 + 4
0 ≥ 3 (False).
In this exercise, we would use an online graphing calculator to plot the given system of inequalities 2x + y < 1 and 4x - 3y ≥ 12 as shown on the number line attached below.
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What value of m would make parallelogram WXYZ asquare?2m + 4m+6
The value of m for which the parallelogram WXYZ will be a square is (a) 2 .
For the parallelogram WXYZ to be a square ,
We know that , if parallelogram WXYZ is a square all, then all the sides are equal ;
So , we write WX = XY = YZ = ZW ;
To find the value of "m" , we use WX = ZW ;
substituting the values of sides of square from the figure ,
we get ;
⇒ 2m + 4 = m + 6 ;
⇒ 2m - m = 6 - 4 ;
⇒ m = 2 ;
Therefore , the value of "m" for the square WXYZ is 2 .
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The given question is incomplete , the complete question is
What value of m would make parallelogram WXYZ a square ?
(a) 2
(b) 3
(c) 4
(d) 5
6 in.
15 in.
12 in.
Find the surface area of the prism
I
Answer:
684sq in
Step-by-step explanation:
The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. If the dimensions of the prism are 6 inches, 15 inches, and 12 inches, then the surface area can be calculated as follows:
2(lw + lh + wh)
where l is the length, w is the width, and h is the height.
Substituting the given values, we get:
2(6 * 15 + 6 * 12 + 15 * 12)
= 2(90 + 72 + 180)
= 2(342)
= 684 square inches
So, the surface area of the rectangular prism is 684 square inches.
HELP I REALLY NEED IT!!
Answer:
Below
Step-by-step explanation:
Since the center (h,k) is (4,1) and the circle passes through (4,-4) the radius is 5 ( from y = 1 to -4 ...a distance of 5 )
the equation for a circle is of the form (x-h)^2 + (y-k)^2 = r^2
becomes (x-4)^2 + ( y-1)^2 = 5^2 < ==== graph this equation
radius = 5 then the diameter = 10 then circumference = pi * d = 10 pi
if a restaurateur wants to know how many dollars the restaurant makes per day, which process metric is needed?
To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.
Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.
Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.
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Sam is paid $12.45 per hour for a 37.5 hour week plus 6% of sales for a week. What would Sam's sales have to be for him to earn $800 in a week?
Answer:
ok Let’s calculate the money Sam makes per week, not including sales (or Assuming $0 in sales):
Money per week =$6.45/hour×37.5 hours/week= $241.88/week
The money he Gains from sales must make up the difference, So
money from sales = $400−$241.88 = $158.12
This Money is only 6% or 0.06 of the total sales though, so
Total sales = $158.120.06 = $2635.33
of course, this is Assuming that the money per week is rounded up from $241.875 to $241.88 instead of down to $241.87, in which case Sam would Have to make $2635.50 in sales (about 17 cents more).
Step-by-step explanation:
have a nice day.
Suppose that a motorboat is moving at 83 ft/s when its motor suddenly quits, and that 1 s later the boat has slowed to 23 ft/s. Assume that the resistance it encounters while coasting is proportional to the square of its velocity so that dv/dt =-kv^2 where k > 0. How far will the boat coast in the first 2 minutes after its motor quits?
The boat will coast approximately 16752.9 feet (or about 3.17 miles) in the first 2 minutes after its motor quits.
From the problem statement, we know that the velocity of the boat, v, changes from 83 ft/s to 23 ft/s over a period of 1 second. Therefore, we can write:
[tex]dv/dt = -k v^2[/tex]
Separating variables and integrating from v = 83 at t = 0 to v = 23 at t = 1, we get:
[tex]∫83^23 dv / v^2 = ∫0^1 -k dt[/tex]
=> [1/83 - 1/23] = k
So the equation for the velocity of the boat as it coasts is:
[tex]dv/dt = -[(1/83 - 1/23)] v^2[/tex]
The differential equation is separable:
[tex]dv/v^2 = -[(1/83 - 1/23)] dt[/tex]
Integrating both sides, we get:
-1/v = [(1/83 - 1/23)] t + C
where C is an integration constant. Using the initial condition v(0) = 83, we get:
C = -1/83
Substituting this back, we have:
-1/v = [(1/83 - 1/23)] t - 1/83
Solving for v, we have:
v(t) = 83 / [1 + (83/23 - 1) t]
To find the distance traveled, we integrate v(t) from t = 0 to t = 120:
s =[tex]∫0^120 v(t) dt[/tex]
Substituting v(t) and simplifying, we have:
s = 23 ln(1 + 3.6087t) + 60.391t + C
where C is another integration constant. Using the initial condition s(0) = 0, we get:
C = 0
Therefore, the distance traveled by the boat in the first 2 minutes after its motor quits is:
s = 23 ln(1 + 3.6087t) + 60.391t
Evaluating this expression at t = 120 seconds, we get:
s = 23 ln(433.044) + 7246.92 ≈ 16752.9 ft
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Which statements are correct about the average rate of change for the function given in the table? Select all correct answers. Select 2 correct answer(s) Question 3 options: The rate of change is 3 over the interval 1 ≤ x ≤ 2. The rate of change is 3 over the interval 1 ≤ x ≤ 3. The rate of change is 6 over the interval 1 ≤ x ≤ 4. The rate of change is 6 over the interval 2 ≤ x ≤ 4. The rate of change is 5 over the interval 2 ≤ x ≤ 3.
The two correct statements are a. The rate of change is 3 over the interval 1 ≤ x ≤ 2 & The rate of change is 3 over the interval 1 ≤ x ≤ 3. And as well as The rate of change is 5 over the interval 2 ≤ x ≤ 3 is also correct statement.
How is the average rate determined?Divide the change in y-values by its change in x-values to determine the average rate of change. Identifying changes in measurable parameters as average speed or mean velocity calls for the knowledge of the average rate of change.
What exactly do average and instantaneous rates mean?The average rate is the concentration change over a selected time period. It matters when you take the measurements. The solution is to find the slopes of the line to the concentrations time versus curve at that location.
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10
Select whether the given side lengths of a triangle form a right triangle.
Do Not Form a
Right Triangle
3 cm, 4 cm, 5 cm
8 m, 10 m, 15 m
6 in., 8 in., 10 in.
5 cm, 12 cm, 13 cm
Form a
Right Triangle
0
Answer:yes,no,yes,no i think
Step-by-step explanation:
WILL MARK BRANLIEST!!!
The sum of the 10th terms of the geometric progression is 1023
What is sum of the terms of GPThe sum of the terms of a geometric progression (GP) is a formula used to find the total of a series of numbers that are increasing or decreasing by a common ratio. A geometric progression is a sequence of numbers such that the ratio of any two consecutive terms is constant.
The formula for the sum of the n terms of a geometric progression with first term a and common ratio r is given by:
Sₙ = a(rⁿ - 1) / r - 1
where:
a is the first term of the progression
r is the common ratio
n is the number of terms in the progression
In the problem given;
a = 1, n = 10, r = 2
Using the formula above;
Sₙ = a(rⁿ - 1) / r - 1
Substituting the values into the formula
S₁₀ = 1(2¹⁰ - 1) / 2 - 1
S₁₀ = 1023
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One endpoint of MP is M(7, 3), and the midpoint is R(12, 3).
What are the coordinates of the other endpoint?
The coordinates of the other endpoint are (17, 3).
How to determine the coordinates of the other endpoint?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2):
Midpoint R = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Next, we would determine the coordinate of MP with midpoint M at (7, 3) as follows;
12 = (7 + x₂)/2
24 = 7 + x₂
x₂ = 24 - 7
x₂ = 17.
For the other co-ordinate of P on line segment MP, we have:
3 = (3 + y₂)/2
6 = 3 + y₂
y₂ = 6 - 3
y₂= 3.
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To plot the point (6, -8), you would start at the origin and move
6 units to the ____ and
8 units ______
up, down, left, right
The coordinates ( 6,-8 ) are plotted by moving 6 units right and 8 units down.
What is the cartesian plane?The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at which the x- and y-axes cross perpendicularly.
here, we have,
Given coordinates (6,-8)
for the cartesian plane, we know that the origin has points (0, 0)
and divided into four Quadrants,
the left side of the origin is a negative x-axis and the right side is a positive x-axis.
and the upside of the origin is a positive y-axis and the downside is a negative y-axis.
here coordinates of x =6 and y = -8
6 is 6 units right from the origin
and -8 is 8 units down from the origin.
Hence for the coordinates , 6 units to the right and 8 units down , is correct.
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Nine more than twice a number is less than negative eleven. Find all numbers that make the statement true
All the numbers less than -10 and upto negative infinity will make the mentioned statement true.
Let us assume the number to be x. So, twice the number will be 2x. Then, nine more will be represented as: 2x + 9. Now, the total is less than -11, so representing the information in expression along with sign.
2x + 9 < - 11
Rewriting the expression according to 2x
2x < - 11 - 9
Performing subtraction on Right Hand Side of the equation
2x < - 20
x < - 20/2
Performing division on Right Hand Side of the equation
x < - 10
So, the numbers below -10 will make the statement true.
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Please help ASAP!
Complete the equation of this circle.
(x-[ ])^2+(y-[ ])^2=[ ]
The equation for this circle is as stated in the above statement: (x-h)² + 2(y-k)² = r²
Why does life have a circle?Today, circles are still significant symbolically; they frequently stand for peace and unity. Check out at the Olympic logo, for instance. It contains five overlapping rings of various colors that collectively symbolize the world's five major continents, which are joined in a great spirit of healthy rivalry.
How come it's called a circle?A circle is a round shape that may be created by following a moving point on a plane while maintaining a constant distance from another point. This Greek word kirkos, which means hoop or ring, is whence the word circle gets its from.
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In a density curve, proportion of data is represented by O area above the curve. O area under the curve. O the shape of the curve. o intervals of values on the vertical axis. o intervals of values on the horizontal axis. O the length of the curve. Question 3 1 pts Which ONE of the following is a correct classification of shapes of density curves? O All → Symmetric → Uniform → Normal O All → Nonsymmetric → Bell → Normal O All → Nonsymmetric → Symmetric → Normal O All → Bell → Symmetric → Normal O All → Symmetric → Bell → Normal O All Uniform → Bell → Normal
In a density curve, the proportion of data is represented by the option B) area under the curve and correct classification of shapes of density curves is option E)
What is Density curve?A density curve is a curve on a graph that represents the distribution of values in a dataset.
A density curve, also called a density function, is a graphical representation of the relative frequency distribution of a continuous random variable. The type of distribution most commonly represented by a density curve is the normal distribution, but any distribution of a continuous variable may be represented by a density curve.
Normal distribution curve is a bell shaped curve obtained for the distribution having maximum frequency near the central value of distribution and the frequency gradually tapering off symmetrically on both side.so, All → Symmetric → Bell → Normal
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I need Help i Have a C in my class
Answer:B
Step-by-step explanation:
R^2=Q^2-P^2
R^2=2025
R=45
Answer:
b) 45cm
Step-by-step explanation:
by pythagoras theorem:
R² = P² - Q²
R² = 53² - 28² = 2809 - 784
R² = 2025
R = √2025
R = 45cm
Hope this helps!
Una compañía de teléfonos ofrece dos planes mensuales. El plan a cuesta $15 más $0. 12 adicionales por cada minuto de llamadas. El plan b cuesta $8 más 0. 17 adicionales por cada minuto de llamadas
¿para cuantos minutos de llamadas los dos planes cuestan lo mismo?
¿cual es el costo al que dos planes cuestan lo mismo?
The two plans cost the same for 60 minutes of calls. And the two plans cost the same for 60 minutes of calls.
We can set the cost of the two plans equal to each other and solve for the number of minutes:
Plan A: $15 + $0.12x (where x is the number of minutes)
Plan B: $8 + $0.17x
$15 + $0.12x = $8 + $0.17x
Subtracting $8 from both sides:
$7 + $0.12x = $0.17x
Subtracting $0.12x from both sides:
$7 = -0.05x + $0.17x
Adding 0.05x to both sides:
$7 + 0.05x = $0.17x
Dividing both sides by 0.12:
x = (7 / 0.12) / (1 - 0.17/0.12) = 60 minutes
So the two plans cost the same for 60 minutes of calls. To find the cost, we can plug x = 60 into either equation:
Plan A: $15 + $0.12 x 60 = $15 + $7.20 = $22.20
Plan B: $8 + $0.17 x 60 = $8 + $10.20 = $18.20
So the two plans cost the same when there are 60 minutes of calls, and they both cost $18.20
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Complete Question
A telephone company offers two monthly plans. The a plan costs $15 plus $0. 12 additional for each minute of calls. Plan b costs $8 plus an additional 0.17 for each minute of calls For how many minutes of calls do the two plans cost the same? What is the cost at which two plans cost the same?
The height of a supply curve at a quantity of 100 represents the minimum price required to induce a producer to supply the hundredth unit. True/False?
The statement is True ' The height of a supply curve at a quantity of 100 represents the minimum price required to induce a producer to supply the hundredth unit"
A supply curve: what is it?
The relationship between the quantity of a good that a producer is willing to sell and the price of the good is graphically represented by the supply curve in economics.
The maximum price a producer will accept to sell a given quantity of the good is represented by the height of the supply curve at that quantity.
As a result, the minimum price necessary to persuade a producer to supply the 100th unit of the good is represented by the height of the supply curve at a quantity of 100.
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For a given recipe, 16 cups of flour are mixed with 8 cups of sugar. How many cups of flour should be used if 12 cups of sugar are used?
The number of cups of flour should be used if 12 cups of sugar are used is 6.
Determine the purpose of the relationship. Start by identifying what you want the ratio to show. Each ratio uses different data, so you need to make sure you're using the correct information to get the details you need.
set the formula. A ratio compares two numbers, usually by division. When comparing one data point (A) to another data point (B), the formula is A/B. That is, divide information A by information B. For example, if A is 5 and B is 10, the ratio is 5/10.
Solve the equation. Divide data A by data B to get the ratio. In the example above, 5/10 = 0.5.
16 cups of flour are mixed with 8 cups of sugar and for 12 cup ratio should be same
so 16/8 = 12 /x
x = 6
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3. (a) T= 3db Find the value of T' when a 4 and b = 5.
The value of the variable T is 60
What are algebraic expressions?These are described as expressions that are composed of coefficients, factors, constants, variables and terms.
These algebraic expressions are also identified by mathematical or arithmetic operations, such as;
AdditionSubtractionMultiplicationDivisionBracketParenthesesWe have;
T= 3db
Substitute the values
T = 3(4)(5)
expand
T = 60
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Find the perimeter and area of the rectangle
The perimeter of the rectangle is 2ab² ( 5ab² + 3)
The area of the rectangle is 15a³b^6
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Let l=5a²b^4 , w= 3ab²
Perimeter = 2(l+w)
= 2(5a²b^4 + 3ab² )
=2 [ ab² ( 5ab² + 3)]
= 2ab² ( 5ab² + 3)
Area = l*w
= 5a²b^4 *3ab²
= 15a³b^6
The perimeter of the rectangle is 2ab² ( 5ab² + 3)
The area of the rectangle is 15a³b^6
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Please anyone help me
The expression that represents all the possible widths of the rectangle is given as follows:
0 < x < 5.
How to obtain the area of the rectangle?The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:
A = lw.
For this problem, the length is 5 meters more than five times the width, hence:
l = 5 + 5w.
Hence the area is given as follows:
A = w(5 + 5w)
A = 5w² + 5w.
The area is less than 100m², hence the inequality is given as follows:
5w² + 5w < 100
5w² + 5w - 100 < 0.
w² + w - 20 < 0.
(w + 5)(w - 4) < 0.
Hence the solutions are:
w + 5 < 0 -> w < 5.w - 4 < 0 -> w > -4.The width cannot be negative, hence the interval is:
0 < x < 5.
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Find the probability of drawing a face card and then drawing the king of diamonds
without replacement.
Answer:
Step-by-step explanation:
the probability of drawing a face card=12/52
drawing the king of diamonds=1/52
Answer:
Probability of face is 12/52
Sam is making a model of a stadium using a scale in which 2 centimeters equals 15 feet. If the model is 46.5 centimeters wide, what is the actual width of the stadium, in feet? your answer can be exact or rounded to two decimal places.
Answer:
348.75
Step-by-step explanation:
27 - 4x + x² can be written in the form (x + a)²+ b, where a and b are numbers. Work out the values of a and b.
Answer:
To rewrite the expression 27 - 4x + x² in the form (x + a)² + b, we can complete the square.
Starting with x² + (-4x) + 27:
x² - 4x + 4x² = 4x² - 4x
Adding (4/2)² = 4 to both sides:
4x² - 4x + 4 = 4x² - 4x + 4
The expression is now in the form (x - 2)² + 0, so a = -2 and b = 0.
Therefore, 27 - 4x + x² = (x - 2)² + 0.
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Part A: Given the function g(x) = |x − 7|, describe the graph of the function, including the vertex, domain, and range. (5 points)
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answer:
Part A:
The graph of g(x) = |x - 7| is a V-shaped graph that opens upward, with a vertex at x = 7 and y = 0. The graph of the function is symmetrical about the vertical line x = 7. The domain of the function is all real numbers, and the range is all non-negative real numbers, including zero.
Part B:
The transformation from f(x) to h(x) is a vertical shift upward by 2 units. The vertex of the parent function f(x) = |x| is at (0, 0), and the vertex of the transformed function h(x) = |x| + 2 is at (0, 2). The range of the parent function f(x) is all non-negative real numbers, including zero. The range of the transformed function h(x) is all non-negative real numbers greater than or equal to 2. The transformation shifts the entire graph of the parent function upward, increasing the y-values of all points on the graph by 2 units.
Using a ruler and a pair of compasses, construct a right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.
How to construct the right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.
Constructing the TriangleGiven:
Base = EF = 6 cmHypotenuse = ED=11 cmThe angle between EF and ED= 90֯To find:
Construct a right-angle triangle DEF
1. Draw the line segment2. Then mark the center of the line segment.3. In the compass set its width to 6 cm.4. Keep the pointer of the compass on the midpoint C and marc arcs on both sides of C5. Mark points E and F where the arc crosses the line.6. Again set the width of the compass to the length of the hypotenuse, which is 11 cm.7. Keep the pointer of the compass in E and draw an arc above midpoint C.8. Repeat the above step keeping the pointer on F.9. Label the point as D where the arcs cross.10. Join the points DE and DF with the scale.11. Thus, we get the right-angled triangle DEF of necessary measurements
The constructed right-angle triangle DEF is given below:
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many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. a particular station says that the probability that an incoming call is for medical assistance is 0.67. this can be expressed as
The probability that an incoming call is for firefighting equipment (or any other reason besides medical assistance) is 0.33 or 33%.
The statement "the probability that an incoming call is for medical assistance is 0.67" can be expressed as:
P(Medical Assistance) = 0.67
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.67 or 67%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P(Not Medical Assistance) = 1 - P(Medical Assistance) = 1 - 0.67 = 0.33
In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability
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