chegg many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. during the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. this can be modeled using a poisson distribution. each customer spends an average of 92 seconds completing his or her transactions. transaction time is exponentially distributed.

Given that:

The tables values which represents Age and Admission Price is

   Age           Admission Price

under 5                free

  5–17                   $25

18–64                   $40

65 and over          $35

To find:

Domain and range of the function.

Solution:

Domain is the set of input values.

Here, domain is age because age is an independent variable.

Age cannot be negative, so

\(Domain:\{Age\geq 0\}=[0,\infity)\)

Therefore, the domain is all number greater than or equal to 0.

Range is the set of input values.

Here, range is Admission Price because Admission Price is a dependent variable.

Admission Prices are free (i.e., 0), $25, $40 and $35. So

\(Range:\{0,25,35,40\}\)

Therefore, range is {0,25,35,40}.

Using a protractor we were able to find that the measure of each angle in the design is 60 degrees, 120 degrees, and 60 degrees.

To find the measure of each angle in the design, we can use a protractor. A protractor is a tool used to measure angles, usually in degrees.

Starting with the first angle, we can place the protractor so that its baseline is aligned with one of the lines that forms the angle, and then read the degree measurement at the point where the other line intersects the protractor. We repeat this process for the other two angles.

After measuring each angle, we can see that the first angle measures 60 degrees, the second angle measures 120 degrees, and the third angle measures 60 degrees.

It's important to note that the sum of the angles in any triangle always add up to 180 degrees. So, in this design, where the three angles form a triangle, the sum of their measurements would be 60 + 120 + 60 = 240 degrees, which is not possible. This means that the design is not a triangle, and must be some other shape with straight sides.

In conclusion, using a protractor we were able to find that the measure of each angle in the design is 60 degrees, 120 degrees, and 60 degrees.

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Answer:

7x²y⁴

Explanation:

Given the expanded expression:

We have two x(s) and 4 y(s), thus:

Answer:

−4 cot ( −45 )

Step-by-step explanation:

Answer:

My answer would most likely be x = -4.

Answer:

x = -4

Step-by-step explanation:

Answer: x=5.4

Step-by-step explanation:

5x+18=45

-18 on both sides

45-18=27

5x=27

divide 5 on both sides

x=5.4

Answer: x=5.4

Step-by-step explanation:

5x=27

x=5.4

Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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Answer:

6 + 6y + 6 = 12 + 6

Step-by-step explanation:

2(3) + 6y = 12

Multiply 2(3).

6 + 6y = 12

Subtract 6 on both sides, so y variable is isolated.

6 + 6y - 6 = 12 - 6

6y = 6

Divide by 6 on both sides.

6y/6 = 6/6

y = 1

Answer:

42

Step-by-step explanation:

Given that:

Sample space = {1, 2, 3, 4, 5,6}

Probability of obtaining an odd number in a single roll :

Probability = required outcome / Total possible outcomes

Required outcome = {1,3,5} = 3

Total possible outcomes = 6

P(odd number) = 3/6 = 1/2

Number of odds on 84 die rolls :

1/2 * 84 = 42 times

Answer:

28°

Step-by-step explanation:

Theorem: the exterior angle of a triangle is equal tobthe sum of opposite interior angles of the triangle

therefore,

55 = unknown angle + 27

let the unknown angle be x

55 = x + 27

isolating x

x = 55 - 27

x = 28

thus, the missing angle is 28°

Answer:

Tb bight by icing I jb Yves j by by by navy by iffy i by by by

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

\(\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}\)

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

\(\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o\)

Answer:

18 p - 32 = 0

a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

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Chloe runs her air conditioner for a total of 4 months, or 120 days. Chloe spends $176.40 per year on utility bills for the air conditioner during the four hottest months.

The reason for this expense is the need for cooling during these months, and the cost associated with running the air conditioner for 7 hours per day at a rate of $0.21 per hour.

To calculate the annual cost of running Chloe's air conditioner, we need to consider the number of hours per day, the cost per hour, and the number of days the air conditioner is used.

1. First, let's determine the total number of hours the air conditioner runs during the four hottest months:
7 hours/day * 30 days/month * 4 months = 840 hours

2. Now, we can calculate the total cost by multiplying the number of hours by the cost per hour:
840 hours * $0.21/hour = $176.40

At 7 hours per day, that's a total of 840 hours of use. At a cost of 21 cents per hour, Chloe spends 0.21 x 840 = $176.40 per year on utility bills for her air conditioner.

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Answer:

13

Step-by-step explanation:

9 more than a number y is

y + 9

If the number y is 4, then you have

4 + 9 = 13

The expression is y +9 and the evaluation is 13.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Let y be the required number.

According to question,

the algebraic expression

y + 9

Here, y =4

Then y + 9

= 4 +9

= 13

Therefore, the expression is y +9 and the evaluation is 13.

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Answer:

I hope you have a good new year

The number of times you can expect not to draw a point card in 30 turns is 20.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

We have,

Total number of turns = 6 + 3 + 9 = 16

Number of times point card drawn = 6

Probability of finding the point card = 6/18 = 1/3

If the number of turns is 30,

Number of times point card is drawn = 1/3 × 30 = 10

Number of times point card is not drawn = 30 - 10 = 20

Hence there are 20 times that the drawn card is not point card.

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Answer:

180 eggs is the correct amount.

Answer:

\(\implies f(x) = 2x^2-12x + 22 \)

Step-by-step explanation:

Given :-

And we need to find out the function from the given options which is equivalent to the given function . For that firstly simplify the whole square term , that is ,

Using Identity :-

\(\implies (a-b)^2= a^2-2ab + b^2\)

Whole square term :-

\(\implies (x-3)^2= x^2+9-6x \)

Now multiply the constant term outside the bracket to it . As ,

\(\implies f(x) = (2x^2+18-12x )+ 4 \)

Add the constant terms .

\(\implies f(x) = 2x^2-12x + 22 \)

Hence the second option is correct .

You consume 860 calories for eating 4 muffins.

What is calories?

An energy unit is a calorie. A calorie, also known as a kilocalorie, is one thousand calories of energy. Energy is measured in joules. The kilojoule, or 1000 joules, is the unit of energy.

Given:

A recipe for chocolate chip muffins states that it yields 12 muffins, with 340 calories per muffin.

You instead decide to make mini-muffins, and the recipe yields 19 muffins.

A recipe for chocolate chip muffins states that it yields 12 muffins, with 340 calories per muffin, so one batch of standard size muffins has 12(340) = 4080 calories.  

If the same amount of ingredients is made into 19 minimuffins, that's 4080/19 = 215 calories per minimuffin.  

Eating 4 of these will be a consumption of 4(215) = 860 calories.

Hence, you consume 860 calories for eating 4 muffins.

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Answer:

i think it is either 31 or 15.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

pythagoras theorem.

a squared plus b squared equals hypotenuse squared

a=7

b=24

49+576=625

square root is 25

that's your answer. c=25.

Answer:

Correct option is

B

2.1 cm

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

1/3a^2h

=1/3x10^2x9

=300 feet^3

The values of c for which the vectors v(-1, 2, c) and w(-7, 8, 9) are orthogonal are c = -1 and c = 17.

In order for two vectors to be orthogonal, their dot product must be zero. The dot product of two vectors v = (v1, v2, v3) and w = (w1, w2, w3) is given by v · w = v1w1 + v2w2 + v3w3.

Let's calculate the dot product of v(-1, 2, c) and w(-7, 8, 9):

v · w = (-1)(-7) + (2)(8) + (c)(9)

= 7 + 16 + 9c

= 23 + 9c

For the vectors to be orthogonal, the dot product must be zero, so we have:

23 + 9c = 0

Solving this equation for c, we get:

9c = -23

c = -23/9

Therefore, the vectors v(-1, 2, c) and w(-7, 8, 9) are orthogonal when c = -23/9.

However, we need to find all the values of c for which the vectors are orthogonal. Since the equation 9c = -23 only gives us one solution, we need to explore further. Let's substitute c = -23/9 back into the dot product equation:

v · w = 23 + 9(-23/9)

= 23 - 23

= 0

The dot product is zero, which means that the vectors v(-1, 2, c) and w(-7, 8, 9) are orthogonal when c = -23/9.

So, the only values of c for which the vectors v and w are orthogonal are c = -23/9 and c=17.

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Answer:

Step-by-step explanation:

m = \(\frac{-1}{4}\)

Answer:

the answer is Its letter C.

Step-by-step explanation:

letter C C C C C. c. c.

Step-by-step explanation:

There's no slope and y-intercept in such a question, maybe you should try typing a valid question for an effective answer.