Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour. If it takes approximately ten minutes to serve each customer, find the mean and variance of the total service time in minutes for customers arriving during a 1-hour period. What is the probability that the total service time will exceed 2.5 hours?

The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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Answer:

2.437 + 0.0041 = 2.4411

0.4 - 0.063 = 0.337

Step-by-step explanation:

We can rewrite the numbers to be up to the same decimal point by appending 0s

2.437=2.4370

0.4 = 0.400

That's how fractions work, because 4/10 = 400/1000

After setting the same length, the addition or subtraction becomes very normal - just do it as you would always do

24370+41 = 24411, so 2.4370 + 0.0041 = 2.4411

400 - 63 = 337, so 0.400 - 0.063 = 0.337

The spinner illustrates a fair probability because it has equal sections and the value of P(Not T)= 5/6

The sample space of the spinner is:

S = {P,Q,R,S,T,U}

Using the sample space, the probability of T is:

P(T)  = 1/6

Using the complement probability formula, the probability of not T is:

P(Not T)= 1 - P(T)

So, we have:

P(Not T)= 1 - 1/6

Evaluate

P(Not T)= 5/6

Hence, the value of P(Not T)= 5/6

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Answer:1/6

Step-by-step explanation:

P is 1 out of 6 probability's so the answer is 1/6 (i dont know the Not T probability)

Using the circumference formula for the circle with given radius,

Circumference of the given circle = 55.26inches.

The circumference, often known as the length of a circle, is its circumference. By using the radius or diameter, we may calculate the circumference of a circle.

A circle is a closed round object whose border points are all equally spaced apart from the centre, which is a fixed point. The area and diameter of a circle are its two most crucial measurements.

Circumference formula = π× Diameter; Circumference = 2πr.

Given,

Radius of circle, r = 8.8in.

Circumference of a circle = 2 × π × r.

= 2 × 3.14 × 8.8

= 55.26inches.

Therefore, circumference of the circle with radius 8.8in is 55.26inches.

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Answer:

see the anaiysis for details it can be seen in the title

Step-by-step explanation:

9(x) 2x-5 =2 fix)-5

91x =2fix) -5

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

y = 1/2x -4

Step-by-step explanation:

i think sorry if wrong

Answer:

9 x 1/12 = 4 1/2

Answer:

C≈40.21cm

Step-by-step explanation:

Answer:

40.192

Step-by-step explanation:

the radius is half of the diameter so the diameter is 12.8 now 12.8 times pi / 3.14

Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

a) There are 2 x 2 = 4 sample points in the sample space

b) Tree Diagram

O D.\nH\nHe\nT\nH\nT\n

Sample space: D. HH, HT, TH, TT

c) P(no tails) = P(HH)

= 1/4

d) P(exactly one tail) = P(HT, TH)

= 2/4

= 1/2

e) P(2 tails) = P(TT)

= 1/4

f) P(at least one tail) = P(HT, TH, TT)

= 3/4

In mathematics, tree diagrams are often used in probability and statistics to show all the possible outcomes of an event. In computer science, they are used to represent the hierarchical structure of files and directories in a file system

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Answer:

well the first one is (3,4)

And the second one is (3,4)

Step-by-step explanation:

Hope this helps!

Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

The first five terms of the AP are 1, 4, 7, 10, and 13. And the sum of the first fifteen terms is 375

An arithmetic progression is a sequence where the differences between every two consecutive terms are the same.

The first five terms of the arithmetic progression AP are derived by replacing "a" for each term from 1 to 5;

3(1) - 2 = 1

3(2) - 2 = 4

3(3) - 2 = 7

3(4) - 2 = 10

3(5) - 2 = 13

we observe there is a common difference of three between each term.

The sum of first fifteen terms is calculated using the formula;

n/2[2(a) + (n - 1)d] {where n = the number of terms, a = the first term and d = the common difference}

Hence, by substitution, we have!

15/2[2(1) + (15 - 1)3]

15/2[2 + (16)3]

15/2[2 + 48]

(15/2)(50) {divide 50 by 2}

15 × 25

375.

Therefore, the first five terms of the arithmetic progression AP are 1, 4, 7, 10, and 13 and by application of the formula for calculating the sum of a given number of terms, the sum of the first fifteen terms is 375.

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Answer:

it is b

Step-by-step explanation:

when you divide exponents you subtract them. when you have parentheses you multiply the exponents. the one on the left is 6^13 and the one on the right is 6^8. 6^13 is more than 6^8.

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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Answer:

37

Step-by-step explanation:

i hope this helps and study well

Answer:

m=37

Step-by-step explanation:

4m-3+35=180

4m=180-32=148

m=148/4=37

Answer:

∠A is equal to 73°

Step-by-step explanation:

Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°

With that we can take the two equations at the top, and add them together for a sum of 180°:

6x - 35° + 3x + 53° = 180°

9x + 18° = 180°

x + 2° = 20°

x = 18°

Now that we have x, we can solve for ∠A:

∠A = 6x - 35°

∠A = 6(18°) - 35°

∠A = 108° - 35°

∠A = 73°

We can test our answer by solving for ∠B.  We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°.  Now let's solve for be given x and the original equation, and see if we have the right numbers:

∠B = 3x + 53°

∠B = 3(18°) + 53°

∠B = 54° + 53°

∠B = 107°

Which matches up, showing us that we have the correct answer.

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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