for the first three seconds of the day, the arrival rate at the book store is 29 customers per second. the book store is capable of serving 27 customers per second. the last customer's arrives exactly three seconds after the start of the day. assume that the system is empty at the start and that no customer who arrives leaves without being served. 01-05-56 (round your answer to 2 decimal places.) how long will that customers be in the book store (in seconds)?

Answers

Answer 1

The last customer will be in the book store for 3.22 seconds.

The solution can be calculated using Little's Law, which states that the average number of people in a system equals the average arrival rate multiplied by the average time spent in the system.

Using this formula, we can calculate the time that the last customer will spend in the book store.

Little's Law: Average number in system = Average arrival rate x Average time in system

Average number in system = 29 customers/second x 3 seconds = 87 customers

Average time in system = 87 customers/27 customers/second = 3.22 seconds

Therefore, the last customer will be in the book store for 3.22 seconds.

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Related Questions

Using -1, -2, -1.68 as examples, describe where negative numbers are located on a number line, based on the locations of 0 and 1.

Answers

The location on negative integers will be on left side of zero.

What is Number system?

A number system is defined as a system of writing to express numbers.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

On a number line the integers were represented.

Integers are collect of positive numbers, negative numbers and zero.

On the right side of zero the number are positive 1,2,3..

To the left side of zero there are negative integers -1,-2,-3...

Fom left to right the value of numbers be increases.

Hence, the location on negative integers will be on left side of zero.

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Do the sides 7 cm 24 cm and 25 cm form a right-angled triangle give reason?

Answers

The sides 7cm , 24cm and 25cm ; forms a right angled triangle because the condition of Pythagoras Theorem is satisfied .

What is Pythagoras Theorem ?

The Pythagoras Theorem states that the square of hypotnuse (longest sides) is equal to the sum of the square of the other two sides .

The sides are given as ⇒ 7cm , 24cm and 25cm ;

here the longest side (hypotnuse) is = 25 cm ;

According to Pythagoras theorem ,

⇒ [tex]25^{2} =24^{2} +7^{2}[/tex] ;

⇒ [tex]625=576+49[/tex] ;

⇒ [tex]625 = 625[/tex] ;

The condition of Pythagoras theorem is satisfied .

Therefore , the given sides can form a Right Angled Triangle .

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Round each fraction to help you estimate the solution for the following equation: 7/12 - 2/12 =

Answers

On solving the provided question, we can say that the fraction =5/12 = 0.4166666667  rounding off = 0

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here,

the fraction is

7/12 - 2/12

=5/12

= 0.4166666667

rounding off = 0

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let f be the function given by . what are all values of c that satisfy the conclusion of the mean value theorem of differential calculus on the closed interval [0,3]?

Answers

The only value of c that satisfies the conclusion of the Mean Value Theorem on the closed interval [0,3] is c = 2.

The Mean Value Theorem states that if a function f is continuous on a closed interval [a, b], then there exists some c in the interval such that

f'(c) = (f(b) - f(a)) / (b - a).

In the case of f(x) = x(x-3) , on the closed interval [0,3], we can solve for c using the equation above.

We begin by calculating f'(c), which is equal to 2c - 3. Then, we set the equation equal to (f(3) - f(0)) / (3 - 0), which is equal to -3 / 3.

Substituting this into our equation for f'(c), we get 2c - 3 = -1, which simplifies to c = 2.

Therefore, the only value of c that satisfies the conclusion of the Mean Value Theorem on the closed interval [0,3] is c = 2.

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Determine the missing value on the vertical axis represented by [?]. Per Capita Personal Income by State for 2004 52000 9[21 20000

Answers

The vertical axis in this graph represents Per Capita Personal Income (PCPI) by State for 2004. The missing value on the vertical axis represented by [?] is $38,400.

$38,400

The vertical axis in this graph represents Per Capita Personal Income (PCPI) by State for 2004. The number given to us is $52,000, and the other number given is $20,000. To determine the missing value, we need to calculate the difference between the two numbers. We do this by subtracting $20,000 from $52,000.

$52,000 - $20,000 = $32,000

To find the missing value, we need to add the difference to the given value of $20,000.

$20,000 + $32,000 = $52,000

Therefore, the missing value on the vertical axis represented by [?] is $38,400.

The missing value on the vertical axis represented by [?] is $38,400.

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which one should I choose because I think there is 2

Answers

Answer:

B And D

Step-by-step explanation:

X has two of the same numbers and the both have different outputs

B and D

I did this before and Ik it is B and S

Help quickly please! (Worth 20 points) The more hours Randall works, the more wages he earns. Randall's wage is the ___________ variable. The hours he works is the __________ variable. 1. independent; dependent, 2. dependent; independent

Answers

Answer:

Randall's wage is the dependent variable. The hours he works is the independent variable.

Step-by-step explanation:

1. what is the equation in slope-intercept form of a line whose slope is 9 and whose y-intercept is -3?

Answers

The equation in slope-intercept form of a line whose slope is 9 and whose y-intercept is -3 is equals to the y = 9x-3.

Slope intercept form of an equation : The slope intercept form is one of method to determine the equation of a straight line in the coordinate plane. The equation of a straight line is a relation which:

the coordinates of any point must be satisfied if point on the line.the coordinates of any point can't satisfied if point not on the line.

Let us assume a straight line of slope 'm' and y-intercept 'b'. The equation of slope intercept form for a straight line with slope, say, 'm', and the y-intercept, 'b', is

y = mx + b

Now, the slope of line , m = 9

y-intercept of line, b = - 3

As we know slope intercept form of a line is, y = mx + b , so plugging the known values of slope and y-intercept in it,

=> y = 9x - 3

So, required equation in slope intercept form of line is y = 9x - 3.

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Convert the line integral to an ordinary integral with respect to the parameter and evaluate it.∫Cxeyzds; C is r(t) = (t, 2t, -4t), for 1 ≤t≤ 2.

Answers

The value of the line integral ∫Cxe^{yz}ds is approximately  8.645×10⁻⁵.

Given the line integral ∫Cxe^{yz}ds, where C is the curve r(t) = (t, 2t, -4t) for 1 ≤ t ≤ 2.

To convert this line integral to an ordinary integral with respect to the parameter, we need to express the integrand xe^{yz} in terms of the parameter t. We can do this by substituting r(t) into the integrand, giving us

te^{(2t)(-4t)}

= te^{-8t²}

Next, we can use the change of variable formula: ∫Cxe^{yz}ds = ∫[1,2]xe^{yz}||r'(t)||dt

We know that r'(t) = (1, 2, -4), so

||r'(t)|| = √(1² + 2² + (-4)²)

= √(17)

So the new integral becomes ∫[1,2] √(17)te^{-8t²} dt

On calculating ∫[1,2] √(17)te^{-8t²} dt ≈ 8.645×10⁻⁵

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For a particular circle, a central angle of 75 degrees will intercept an arc of length 10pi feet. What is the radius of this circle?

Answers

The radius of the circle is 48 feet.

Circle:

The round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

The arc length of a circle is given by the formula arc length = (angle/360) * 2 * pi * radius.

In this case, the angle is 75 degrees, and the arc length is 10* pi feet.

So, we can set up the equation: (75/360) * 2 * pi * r = 10 * pi

Solving this equation for the radius, we get: r = (10pi) / ( (75/360) * 2 * pi) = (10360) / 75 = 48 feet. So, the radius of the circle is 48 feet.

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Determine the convergence set of the given power series. n = The convergence set is . (Type your answer in interval notation.) Find a power series expansion for f'(x) given the expansion for f(x). n=2 rw= n=3 Find the power series expansion X anx" for f(x) + g(x), given the expansions for f(x) and g(x). n=0 19 = E 2*. * = 571 n=0 n=1 The power series expansion for f(x) + g(x) is .

Answers

The convergence set of the given power series is the set of all values of x in the interval (-|x-7|, |x-7|).

In order to determine the convergence set of the given power series, we can use the ratio test.

The ratio test states that if the limit as n goes to infinity of the absolute value of aₙ₊₁ / aₙ is less than 1, then the series converges for all x in the interval (-R, R) where R is the reciprocal of the limit.

The given power series is:

sigma n = 1 to infinity (17/ (n² + 5n))×(x - 7)ⁿ

We can apply the ratio test as follows:

aₙ₊₁ / aₙ = |(17/(n+1)² + 5(n+1))×(x - 7)⁽ⁿ⁺¹⁾ | / |(17/ (n² + 5n))×(x - 7)ⁿ|

aₙ₊₁ / aₙ = |(17/(n+1)² + 5(n+1))/(n² + 5n) × |(x - 7)|⁽ⁿ⁺¹⁾ | / |(x - 7)|ⁿ

As we can see the limit as n goes to infinity of the absolute value of

aₙ₊₁ / aₙ = |(x - 7)|

Let R = |x - 7|, therefore, the series converges for all x in the interval (-R, R)

So the series converges for all values of x in the interval (-|x-7|, |x-7|).

--The given question is incomplete, answering to the question below--

"Determine the convergence set of the given power series.

sigma n = 1 to infinity ( 17/ (n² + 5n))×(x - 7)ⁿ"

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The grid below contains the $16$ points whose $x$- and $y$-coordinates are in the set $\{0,1,2,3\}$:A square with all four of its vertices among these $16$ points has area $A$. What is the sum of all possible values of $A$

Answers

Therefore, 24 square units are the answer to the surface area problem that has been given.

What would this surface area actually mean?

Shape is a term used to express how much total area a material's surface takes up. Surface area of a three-dimensional shape is determined by its surrounds added together. Surface area refers to a multi-total shape's surface area covering. A cube with five rectangular sides has a volume of water equal to the sum of the areas of each face. Alternately, you can get the box's dimensions by using the following formula: Surface (SA) equals twice twice twice twice.

Here,

The height of the square in the example is 5-2 = 3.

The base of the provided square is composed of units => 7 -(-1) units => 8 units.

The given square therefore contains an area equal 8 * 3 = 24 square units.

The preceding area problem must therefore be solved using 24 square units.

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The plot line shows the number of miles the individual members in a group of runners run each day How many runners run at most 2 miles per day?13963

Answers

13 number of runners run at most 2 miles per day .

calculation is explained below as

at 2 miles = 6 runners run

at 3 miles = 4 runners run

at 4 miles = 2 runners run

at 5 miles = 1runners run

on adding to calculate how many number of members run at most 2 miles per day is    = 6 + 4 + 2 + 1 = 13 .

hence 13  number of members run at most 2 miles per day .

A number line plot is a simple way of  visual representation of data patterns at the coordinate axis. on comparing the height of the specific columns,  the least frequently of occurring number can be calculated. The number line of plot becomes a bar graph when the  box is drawn around the Xs or dots in each and every column. A horizontal line, also called  as  x-axis, with equal intervals which are labelled with values which makes  a number line plot. Xs or dots can be used to describe or evaluate  the frequency in which a number, or a set a defined numbers, occurs on number line . Stacks of such producing  Xs or dots that are used to represent data on the axis is known as plot number. .

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A regular polygon is such that its interior angle exceeds three times the exterior angle by 20 degree find the number of sides the polygon has

Answers

There is no regular polygon that satisfies the given condition.

What is a regular polygon?

A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.

Let n be the number of sides in the polygon.

The interior angle of a regular polygon with n sides is (n-2) * 180/n degrees.

The exterior angle of a regular polygon with n sides is 360/n degrees.

We are given that:

(n-2) * 180/n > 3 * 360/n + 20

Simplifying the equation:

(n-2) * 180 > 3 * 360 + 20 * n

Now we can solve for n.

(n-2) * 180 > 1080 + 20n

180n - 360 > 1080 + 20n

-20n > 720

n < -36

Since n must be a positive integer, no such n exists that satisfies the given condition.

Therefore, there is no regular polygon that satisfies the given condition.

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if 15% of adults in a certain country work from home, what is the probability that fewer than 42 out of a random sample of 350 adults will work from home?

Answers

If 15% of adults in a certain country work from home, then probability that fewer than 42 out of a random sample of 350 adults will work from home is 0.05 .

the percent of students that work from home is (p) = 15% = 0.15  ;

the number of adults in the sample is (n) = 350  ;

to find the probability , we first need to find the mean and standard deviation ;

So , mean [tex](\mu)[/tex] = [tex]n\times p = 350\times 0.15 = 52.5[/tex] ;

and Standard Deviation[tex](\sigma)[/tex] = [tex]\sqrt{np(1-p)} = \sqrt{3550\times 0.15 \times 0.85} = 6.68[/tex] ;

We need to calculate the probability that fewer than 42 out of a random sample of 350 adults will work from home ,

which means ; [tex]P(X < 42-0.5) = P(X < 41.5)[/tex] ,

So , the probability will be the p value of Z when x= 41.5 ;

we know that ; [tex]z= \frac{X-\mu}{\sigma}[/tex] ;

substituting the values of mean and standard deviation ;

⇒ [tex]Z = \frac{41.5-52.5}{6.68}[/tex] ;

On solving ,

we get ;

⇒ [tex]Z = -1.65 ;[/tex] and the p value at z = -1.65 is 0.05 .

Therefore , the required probability is 0.05 or 5% .

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Answer questions for points

Answers

It can be concluded that -

Version A of iced tea will be sweetest.Nick's claim is true.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the questions as shown in the image.

[1] -

Greater is the value of amount of tablespoon of sugar per oz of tea, sweetest it will be.

For table {1}, we can write -

m₁ = (12/18) = 2/3

For table {2}, we can write -

m₂ = 6/16 = 3/8

m₁ = 2/3 = (2 x 8)/(3 x 8) = 16/24

m₂ = 3/8 = (3 x 3)/(8 x 3) = 9/24

m₁ > m₂

Version A of iced tea will be sweetest.

[2] -

Greater is the value of amount of strawberry puree per unit of the total amount of liquid, stronger will be the strawberry flavor.

For Nick -

m₁ = 8/12 = 80/120

For Sam -

m₂ = 12/20 = 72/120

m₁ > m₂

Hence, Nick's claim is true.

Therefore, it can be concluded that -

Version A of iced tea will be sweetest.Nick's claim is true.

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(5n+ 5.82) + (2.29n+7.67) = (5n+______) + (5.82 +____

Answers

Answer:

(5n + 2.29n) + (5.82 + 7.67)

Step-by-step explanation:

Round each angle to the nearest degree and round each Side to the nearest hundredth. Do not use rounded answers in your calculations to find missing measures.

Answers

The value of angle A = 57°

angle B = 33°

c = 7.16

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then asin/A=bsin/B=csin/C.

using Pythagoras theorem, c² = 3.96² + 5.96²

c² = 15.682+35.522

c²= 51.204

c = √51.204

c = 7.16 ( nearest hundredth)

c/sinC = b/sin B

7.16 /sin90 = 3.96/sinB

sinB = (3.96× sin90)/7.16

sinB = 3.96/7.16

sinB = 0.55

B = sin^-1 0.55

B = 33° ( nearest degree)

Therefore A = 180-(90+33)

A = 57°

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describe the set of points in space whose coordinates satisfy the given combination of equations and inequalities.

Answers

The set of points in space whose coordinates satisfy a given combination of equations and inequalities can be described by a geometric shape or region in 3-dimensional space.

Enumerate the collection of spatial points whose coordinates fulfil the specified set of equations and inequalities.

The equations and inequalities will define the properties of the region, such as its shape, size, and location.

For example, if we have the equation x + y + z = 3 and the inequality x^2 + y^2 <= 1, the set of points that satisfy these conditions would be the points on or inside a sphere of radius 1 centered at the point (0,0,-1) in the x-y plane, and points on the plane x+y+z = 3.

Another example, if we have the equation x + y = 4 and the inequality y >= 2x-5, the set of points that satisfy these conditions would be the points on the line x+y = 4, above or on the line y = 2x-5.

It's important to note that the type of shape or region that is formed by the equations and inequalities will depend on the specific equations and inequalities being used and the number of variables in the problem.

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Consider the matrices.

L=[21−32], M=⎡⎣⎢⎢⎢⎢−1−22−17−6−310⎤⎦⎥⎥⎥⎥, N=[1234], P=[0000], and Q=[−6−8].

What products are defined for these matrices?

Drag the operation to the boxes to correctly complete the table.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Product is defined. Product is not defined.

Answers

The product of two matrices L and P is given as L × P = [tex]\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex].


What is the matrix?

A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.

Here,
The product of matrices is only possible when the matrices have one of the matching orders with rows and columns.
Since among the given matrices, only matrix P and matrix L has the same order so,
[tex]L\times P = \left[\begin{array}{cc}2&-3\\1&2\end{array}\right]\times \left[\begin{array}{cc}0&0\\0&0\end{array}\right]\\L \times P = \left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex]

Thus, the product of two matrices L and P is given as L × P = [tex]\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex].

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Without random selection, we cannot appropriately apply the laws of probability to perform inference. T/F

Answers

The statement without random selection, we cannot appropriately apply the laws of probability to perform inference is true.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

We have to check the given statement without random selection, we cannot appropriately apply the laws of probability to perform inference is true or false.

Random selection is needed to eliminate bias and gives each individual the same probability of being selected.

Hence, the statement without random selection, we cannot appropriately apply the laws of probability to perform inference is true.

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Andre is going to buy a new couch. His current couch is 90 inches long. The new couch he is looking at is 25% less than that. How long is the new couch?

Answers

Answer:

Step-by-step explanation:

90 inches

10%=9 inches

5%=4.5 inches

5x5=25

4.5 inches x5=22.5 inches

90-22.5=67.5

the new couch is 67.5 inches long

Please I need help this is for my math.

Answers

The expression 81x⁴y⁸ rewritten as a power of a product is (3xy²)⁴.

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

1) 3³·3⁶ =3⁹

3³⁺⁶ =3⁹

[tex]3^{(6\times3)}=3^{18}[/tex]

3⁶·3³=3⁹

2) 5⁻¹/(-9)⁰

= 5⁻¹/1

= 1/5

3) 3x⁻⁵y⁰/5⁻³z⁻¹⁰

= 3×5³/x⁵z¹⁰

= 375/x⁵z¹⁰

4) (4s⁵t⁻⁷/-2s⁻²t⁴)³

= (4s⁵s²/-2t⁴t⁷)³

= (-2s⁷/t¹¹)³

= -8s²¹/t³³

5) 81x⁴y⁸

= 3⁴x⁴y⁸

= (3xy²)⁴

Hence, the expression 81x⁴y⁸ rewritten as a power of a product is (3xy²)⁴.

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find 35% of 230
give simple working out please :)

Answers

Answer:

Step-by-step explanation:

35% of 230 can be found by first converting 35% to a decimal. To do this, divide 35 by 100.

35/100 = 0.35

Next, multiply the decimal by the total number you want to find the percentage of, which is 230 in this case.

0.35 * 230 = 80.5

So 35% of 230 is 80.5.

Examples, 230x030 the answer is 80.5

Construct a confidence interval of the population proportion at the given level of confidence.

x=120 n =1200 95% confidence

The upper bound of the confidence interval is ____ (round to the nearest thousandth as needed)

The lower bound of the confidence intervals is ____ (round to the nearest thousandth as needed)

Answers

The confidence interval's upper and lower bounds, respectively, are 0.117 for the higher and 0.083 for the lower.

What is proportion's subject?

The interaction between two or much more quantities is the focus of the branch of mathematics known as ratio and proportion. A key component of GCSE mathematics, ratio and proportion comprehension has connections to several subjects in number, algebra, geometry, probability, and statistics. An equilibrium for two ratios is a percentage. We use proportions to construct comparable ratios and find solutions to problems involving unknown numbers.

[tex]\begin{aligned}\bar{p} & =\frac{x}{n}=\frac{120}{1200}=0.10 \\\frac{\alpha}{2} & =\frac{1-\text { Confidence } \%}{2}=\frac{1-0.95}{2}=0.025 \\z_{1-\alpha / 2} & =z_{0.975}=1.960 \Rightarrow \text { Use the Excel formula "=NORMSINV(0.975)" }\end{aligned}[/tex]

[tex]S . E .=z_{1-\alpha / 2} \sqrt{\frac{\bar{p}(1-\bar{p})}{n}}=1.960 \sqrt{\frac{0.1(1-0.1)}{1200}}=0.017[/tex]

The confidence interval's top bound: [tex]\bar{p}[/tex] + S.E = 0.10 + 0.017 = 0.117

The confidence interval's lowest bound: [tex]\bar{p}[/tex] - S.E. = 0.10 - 0.017 = 0.083

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The four triangles at right are placed in a bag. If you reach into the bag without looking and pull out one triangle at random, what is the probability that: Homework Help ✎

The triangle is scalene?

The triangle is isosceles?

At least one side of the triangle is 6 cm?

Answers

Probability of scalene triangle, isosceles triangle and at least one side of the triangle is 6 cm are  1/4, 1/2 and 1/2 respectively

How to determine the probability of having a scalene triangle?

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

A probability of 0 means that an event is impossible, a probability of 1 means that an event is certain to occur.

A scalene triangle is a triangle with no equal sides.

An isosceles triangle is a triangle with two equal sides.

An equilateral triangle is a triangle with all 3 sides equal.

Check the attached image to see how I labeled the triangles

Triangle 1 is isosceles (two sides with 6 cm each)

Triangle 2 is scalene

Triangle 3 is isosceles (two sides with 10 cm each)

Triangle 4 is equilateral (three sides with 4 cm each)

Probability (Scalene triangle) = 1/4

Probability ( isosceles triangle) = 2/4 = 1/2

Probability ( At least one side is 6 cm) = 2/4 = 1/2

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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.

Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.

Determine the theoretical probability of the spinner not landing on yellow, P(not yellow).

Answers

Answer: P(not yellow) = 6/8

Step-by-step explanation:

It is correct 100%

Answer:

0.625 in decimal form

an airplane flies from one city in a straight line to another city, which is 360 kilometers north and 150 kilometers west of first city. how far does the plane fly?

Answers

Answer: 390 Km

Step-by-step explanation: Use the Pythagorean Theorem to solve this problem. We know that it is going north and west, forming a triangle. It says a straight line so we know it is the hypotenuse. 360^2 + 150^2 = x^2. X is 390.

Which expression is equivalent to cos(3x) sin x?
a. 1/2[sin(4x)+sin(2x)]
b. sin(2x)-sinx
c.1/2[sin(4x)-sin(2x)]
d. sin(2x)+sin x

Answers

[tex]\textit{Product to Sum Identities} \\\\ cos(\alpha)sin(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad -\quad sin(\alpha-\beta)] \\\\[-0.35em] ~\dotfill\\\\ cos(3x)sin(x)\implies \cfrac{1}{2}[sin(3x+x)~~ - ~~sin(3x-x)] \\\\\\ ~\hfill {\Large \begin{array}{llll} \cfrac{1}{2}[sin(4x)-sin(2x)] \end{array}}~\hfill[/tex]

if we spin the two spinners at the same time, what is the probability that both spinners will yield odd numbers?]

Answers

There is a 1/2 probability that both spinners will produce an odd number.

What is probability?

The probability is equal to the variety of possible outcomes.

The total number of outcomes that could occur.

For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

So, assume that:

Both the spinners have 1 positive number and 1 odd number.

Probability formula:

P(E) = Favourable events/Total events

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 2/4

P(E) = 1/2

Therefore, there is a 1/2 probability that both spinners will produce an odd number.

Know more about probability here:

https://brainly.com/question/28924396

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