If an average of 39 customers are served per hour, what is the probability that the next customer will arrive in 3 minutes or less?

Answer:

In Step 1, she multiplied the numerators together and the denominators together.

x=12.50

Step-by-step explanation:

Correct steps

12:30=5:x

Step1:

12/30=5/x

Cross product

Step 2:

12*x=30*5

12x=150

Step3:

x=150/12

x=12.50

In Step 1, she multiplied the numerators together and the denominators together.

Answer:

b on edginuity

Step-by-step explanation:

i got it right

Answer:

5 DVDs are $25 and 6 CDs are $72

Step-by-step explanation:

The required cost of a store of selling DVDs for $15 and CDs for $12 is $147.

Given that,
A store sells DVDs for $15 and CDs for $12. What is the total cost of 5 DVDs and 6 CDs is to be determined.

Cost price is the price for the buyer pays to the seller for an object or product.

In mathematics, it deals with numbers of operations according to the statements.

Here,
A store sells DVDs for $15 and CDs for $12
Cost of 5 DVD's = 5 * 15
                            = $75
Cost of 6 CD's = 6 * 12
                        = $72
The total cost of 5 DVD's and 6CD's = 75 + 72 = $147

Thus, the required cost of a store selling DVDs for $15 and CDs for $12 is $147.

Learn more about cost price here:
https://brainly.com/question/11027396

#SPJ2

Answer:

the graph represents a function.

Step-by-step explanation:

The vertical line test is a test to check if a graph represents a function.

To proceed, draw (imaginary) vertical lines through the entire domain of the graph.  If any of the line intersects the graph at any value of x, then the graph does not represent a function.

Here it is not possible to draw a vertical line to intersect the red curve at any point, therefore the graph represents a function.

Answer:

Yes, the graph represents a function.

Step-by-step explanation:

The vertical line test is a test you can do to determine if a graph is a function. Basically, you draw straight vertical lines, and if it intersects with the line more than once, the graph is not a function.

This is because in a function, each input can only have one output.

So, we can draw vertical lines through the graph, and you'll find that each line will only intersect with the line once.

Based on this, the given graph would represent a function.

Hello salvadorbea340!

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( - (6y - 4) + (6y - 4) - ( - 2)\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(-(6y-4)+(6y-4)-(-2)\)

Firstly, let's open the brackets of the 1st term, i.e. - (6y - 4).

\( -( 6y - 4) \\ = \underline{\underline{- 6y + 4}}\)

Now, the 2nd term [ (6y - 4) ].

\( + ( 6y - 4) \\ = \underline{\underline{ + 6y - 4}}\)

Now, the 3rd term ⇨ - (- 2)

\( -( - 2) \\ = \underline{\underline{ + 2}}\)

Now, let's bring the equation together.

\(- (6y - 4) + (6y - 4) - ( - 2) \\ = - 6y + 4 + 6y - 4 + 2\)

Now, let's solve the equation.

Firstly, bring the like terms together.

\(- 6y + 4 + 6y - 4 + 2 \\ = - 6y + 6y + 4 - 4 + 2\)

Now cancel out -6y & +6y and 4 & -4 as they make 0.

\(- 6y + 6y + 4 - 4 + 2 \\ = \bcancel{- 6y }+ \bcancel{6y} + \bcancel{ \: \: 4 } \: \: - \bcancel{ \: 4 }+ 2 \\ = 0 + 2 \\ = 2\)

And, the only number left is 2. So our answer is 2.

\( = \large\boxed{\boxed{ 2}}\)

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

Step-by-step explanation:

simplify

6/7x + 7= 31

6/7x+7-7=31-7

6/7x=24

6/7x=24/6/7

28

6/7(28)+15-8=31

24+15-8=31

39-8=31

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

For more such questions on triangle

https://brainly.com/question/1058720

#SPJ8

Answer:

-2.5

Step-by-step explanation:

If -2.5 - 5 = -7.5

Then (-7.5)+ 5 = -2.5

Answer:(-2.5)is the correct answer

Step-by-step explanation: brainlest plz

love u no homo

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

13) The points A (9,0), B (9,6), C(-9,6), D(-9,0) are the vertices of

A) square ✓✓✓

B) rectangle

C) rhombus

D) trapezium.

۔

Answer:

Circumference = 75.4

Step-by-step explanation:

Since the circles are identical, that means that the radii must be equal.

4x=3x+3

x=3

That means that radius = 12

The formula for the circumference = 2pi × radius

2pi × 12 = 24pi ≈ 75.4

Answer:

75.4 (nearest tenth)

Step-by-step explanation:

The diameter of a circle is the distance from one side of the circle to the other through the center. The diameter is the widest part of the circle.

The radius of a circle is the distance from the center to the circumference.  The radius is half the diameter of a circle.

We have been given the radius of the circle on the left:  r = 4x.

Therefore, as the diameter is twice the radius, the diameter of the circle on the left is:  d = 2(4x) = 8x

We have been given the diameter of the circle on the right:  d = 6x + 6

Equate the two diameters and solve for x:

⇒ 8x = 6x + 6

⇒ 8x - 6x = 6x + 6 - 6x

⇒ 2x = 6

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

Substitute the found value of x into one of the diameter expressions to find the diameter of both circles:

⇒ d = 8x

⇒ d = 8(3)

⇒ d = 24

Circumference of a circle

C = πd

(where d is the diameter)

Substitute the found diameter into the circumference formula:

⇒ C = πd

⇒ C = 24π

⇒ C = 75.39822...

⇒ C = 75.4 (nearest tenth)

Therefore, the circumference of each circle is 75.4 units (nearest tenth).

Answer:

20

Step-by-step explanation:

we will replace x with (-4)

= (-4)^2 + 4

=20

Disk MethodIt is a method for finding the volume of a solid revolving around an axis by integrating the cross-sectional area of the solid. A solid of revolution is the solid shape obtained by rotating a two-dimensional curve around a line (axis of revolution).

When the curve x=y^3/2 is rotated about the y-axis, the resulting solid is a frustum of a cone. The height of the frustum is 2, and the radii of the top and bottom are 2^(3/4) and 0, respectively. Using the disk method, the volume of the solid is: Rotated about the y-axis, resulting in a volume of the solid that looks like a sphere with a hole in it.

Using the disk method, the volume of the solid is:

V=∫y=0toπ/2π(2sin^2y)^2

dy=4π/3(iv)

x=cos(πy/4)​,−2≤y≤0,

x=0The curve

x=cos(πy/4) is rotated about the y-axis, resulting in a volume of the solid that looks like a horn. Using the disk method, the volume of the solid is:V=∫

y=-2to0π(cos(πy/4))^2

dy=π/2(v)

x=y2+12​y​,

x=0,

y=1The curve

x=y^2+(1/2y) is rotated about the y-axis, resulting in a volume of the solid that looks like a vase. Using the disk method, the volume of the solid is:V=∫

y=0to1π(y^2+(1/2y))^2

dy=11π/30(b) (i) curve

y=(x−x2) from

x=0 to

x=2The given curve is

y=x-x^2. It's graph is a parabola opening downwards.

To know more about two-dimensional visit:

https://brainly.com/question/27271392

#SPJ11

Answer:

w= -3, therefore the value of 9w-10= -37

Step-by-step explanation:

i hope this helps :)

A diver who jumps off a pier at an angle of 25 degrees with an initial velocity of 3.2 m/s will land in the water approximately 2.7 meters away from the pier.

The horizontal and vertical motions of the diver are separate, with the initial velocity of 3.2 m/s at an angle of 25 degrees. We'll utilize the following equations to figure out how far from the pier the diver will land:

Yf = Yi + Viyt + 1/2gt²Xf = Xi + Vixt

Where X is the distance and Y is the height; the subscripts i and f indicate initial and final conditions; Viy and Vix represent the vertical and horizontal components of the velocity at time t; and g is the acceleration due to gravity (-9.8 m/s²).The initial vertical velocity can be calculated as follows:

Viy = Visin(θ)

Viy = 3.2m/s*sin(25) = 1.34 m/s

The final height is zero since the diver begins and ends at the same level (the water's surface).

Yf = Yi + Viyt + 1/2gt²0 = 0 + 1.34t - 4.9t²

We can solve this quadratic equation for t:

t = (1.34 ± √(1.34² - 4(-4.9)(0))) / (2(-4.9))

t = 0.28 s or 0.90 s

We can disregard the negative solution because time can't be negative, and the diver can't spend -0.28 seconds in the air! As a result, the diver spends approximately 0.90 seconds in the air before landing in the water. We can now use the horizontal velocity to determine how far the diver traveled during that time:

Xf = Xi + Vixt

Xf = 0 + 3.2cos(25) (0.90)

Xf ≈ 2.7 meters

To summarize, a diver who jumps off a pier at an angle of 25 degrees with an initial velocity of 3.2 m/s will land in the water approximately 2.7 meters away from the pier. This is calculated by using the initial velocity to find the vertical and horizontal components of the motion, calculating the time the diver spends in the air, and using the horizontal velocity to find the distance traveled during that time.

To know more about acceleration visit:

brainly.com/question/29583481

#SPJ11

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

6.82

Step-by-step explanation:

This is equivalent to the fraction 1/2

==============================================================

Explanation:

The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.

|A-B| = |-5-(-8)| = |-5+8| = |3| = 3

or

|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3

We can say that segment AB is 3 units long.

--------------------------

The distance from A' to B' is 1.5 units because...

|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5

or

|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5

The absolute values ensure the distance is never negative.

We can say A'B' = 1.5

---------------------------

Now divide the lengths of A'B' over AB to get the scale factor k

k = (A'B')/(AB)

k = (1.5)/(3)

k = 0.5

0.5 converts to the fraction 1/2.

The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.

Step-by-step explanation:

Your monthly payments with taxes and insurance included would be $2,903.71. This is calculated by taking the loan amount of $450,000 and multiplying it by the simple interest rate of 6.00%. The result is $27,000, which is then divided by the length of the loan, 30 years. This gives you

the principal and interest portion of your monthly payment, which is $2,033.33. To that, you add your yearly taxes of $2,000 and insurance of $1,500, divided by 12 months, to get an additional $416.67 and $125, respectively. Adding these two numbers together gives you your total monthly payment of $2,903.71.

√(9/31) is the irrational number

The statistical method that would be best to use in this situation is b) Regression analysis.

Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.

Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.

Hence the answer is Regression analysis.

Learn more about Regression analysis click;

https://brainly.com/question/31873297

#SPJ12

The value of ∫CFdr Along The curve C defined By X=T², =2t, And Z=T+5 between A(0,0,5) and B(4,4,7) is 16.

Given that F(X,Y,Z) = Xy+Y²z.

To evaluate ∫CFdr. Along Curve C, we need to find the vector equation of Curve C first.

We know that:

X = t² Y = 2t Z = t + 5

Therefore, the vector equation of the curve C is:

r(t) = [t², 2t, t + 5]

Now, we can find the limits of integration.

Given that: A(0,0,5) and B(4,4,7)Therefore, at t = 0, r(t) = A(0,0,5) and, at t = 2, r(t) = B(4,4,7)

Now, we can evaluate ∫CFdr Along Curve C using the following formula:

∫CFdr Along The Curve C = ∫baf(r(t)) |r'(t)| dt, Where, f(r(t)) = F(X,Y,Z) = Xy+Y²zAnd, r'(t) is the derivative of r(t) to t, which is:

r'(t) = [2t, 2, 1]

Now, substituting the values in the formula, we get:

∫CFdr Along The Curve C = ∫2 0 [t²(2t) + (2t)²(t + 5)] |[2t, 2, 1]| dt

= ∫2 0 [2t³ + 4t²(t + 5)] |[2t, 2, 1]| dt

= ∫2 0 [2t³ + 4t³ + 20t²] dt

= ∫2 0 [6t³ + 20t²] dt

= [3t⁴ + (20/3)t³] 2 0

= 48/3 - 0

= 16

Therefore, the value of ∫CFdr. Along The Curve C Defined By X=T², Y=2t, And Z=T+5 between A(0,0,5) and B(4,4,7) is 16.

To know more about the vector equation, visit:

brainly.com/question/31044363

#SPJ11

The probability that a randomly selected individual with a master's in statistics will get a starting salary of at least $69,400 is 0.038.

Define Standard normal variable

The formula z = (x-mean) / standard deviation can be used to transform any point (x) from a normal distribution to the standard normal distribution (z).The value of z for each given x value indicates how far away from the mean for all x values x is.

Given,

Normally distributed with a mean μ = $58,800

standard deviation σ = $6000

Let, x = be the starting salary of individual

Calculate, the probability that a randomly selected individual with a master's in statistics will get a starting salary of at least $69,400 that mean P(x ≥ $69,400)

P(x ≥ $69,400) = 1 - P(x < 69400)

P(x ≥ $69,400) = 1 - P( (x - μ) / σ < (69400 - 58800) / 6000)

We know, Standard normal variable is Z = (x - μ) / σ,

P(x  ≥ $69,400) = 1 - P(Z < 10600/6000)

P(x  ≥ $69,400) = 1 - P(Z < 1.77)

P(x  ≥ $69,400) = 1 - 0.9616

P(x  ≥ $69,400) = 0.0384 or 0.038

Therefore, the probability that a randomly selected individual with a master's in statistics will get a starting salary of at least $69,400 is 0.038

To read more about Standard normal variable

brainly.com/question/26822684

#SPJ4

Answer: i dont nown eather :/

Step-by-step explanation:

Func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

Break down the meaning of the value returned by each of the three functions:

1. func1(x, y): This function swaps the values of x and y by assigning x the value of y and y the value of x. Finally, it returns the sum of x and y. Therefore, the value returned by func1(x, y) can be described as the sum of the original values of x and y.

2. func2(x, y): This function calls func1(x, y) and assigns the returned value to y. It then calls func1(y, x) and assigns the returned value to x. Next, it calculates z as the difference between x and y. Finally, it returns the average of x and y, which is (x + y) / 2.

The value returned by func2(x, y) can be described as the average of the final values of x and y after the swapping operations.

3. func3(a, b, c): This function calls func2(a, b) and assigns the returned value to c. It then calls func1(a, c) and assigns the returned value to b. Finally, it returns the average of b and c, which is (b + c) / 3. The value returned by func3(a, b, c) can be described as the average of the final values of b and c after the swapping and averaging operations.

In summary, func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

learn more about swapping and averaging operations: https://brainly.com/question/32267467

#SPJ4

The complete question goes thus:

Consider the following confusing functions: def func1(x,y): x=y y=x y=y return (x+y) def func2(x,y): y=func1(x,y) x=func1(y,x) z=x-y return (x+y)/2 def func3(a,b,c): c=func2(a,b) b=func1(a,c) return (b+c)/3 Explain the meaning of the value returned by each of the three functions, assuming that all of the parameters are integers. (For example, you can write something like "func1(x,y) returns x2 - y2". This specific answer will not give you points because it is wrong. But a similar style answer is correct.)

Answer:

n=1.3

Step-by-step explanation:

just plug it in for n and see results

Answer:

At least 2 fish were left alive in the tank

Step-by-step explanation:

45 x 2/5 = 18

18-7 = 11

11 x 0.2 = 2.2

Answer:

y = 5x + 19

Step-by-step explanation:

y = 5x + b

4 = 5(-3) + b

4 = -15 + b

19 = b

Answer:

The 1st one

Step-by-step explanation:

Answer:

$4.40

Step-by-step explanation:

\(4(1.10) = 4.40\)

The relationship between CE and AD is that, AD is one-fourth the length of CE

From the Circle given :

CD is half the length of CE

AD is half the length of CD

Combining the relationships,

Therefore, the correct option is B.

Learn more on circles :https://brainly.com/question/24375372

#SPJ1