The switchboard in a Dallas CPA firm gets an average of 5.5 incoming phone calls during the noon hour on Mondays. Let X= the number of calls received at noon. What is the probability that the firm receives less than 6 calls at noon on Monday? Assume Poisson situation. P(x<6) 0.5289 0.5084 0.9762 0.6673

Answer:  the ratio is 35:5

Step-by-step explanation:

The expression is given as,

The given expression is simplified as follows:

Thus the result of the given expression is,

The length, breadth and height will be 78 cm, 78cm, 78cm each.

let consider the length = l

breadth = b

height = h

we are provided that

l + b + h = 234cm .......(1)

Also we have to maximize the volume , provided length is equal to breadth

∴ eqn (1) becomes

2b + h = 234

h = 234 - 2b

also ,

volume(v) = lbh

v = b²(234 - 2b)

v = b²234 - 2b³

now to maximize the volume we take the first derivative of the volume wrt 'b' and place it equal to zero. ( lagrange method )

i.e. d( v)/db = 0

∴  468b - 6b² = 0

 6b² - 468b = 0

6b( b - 78 ) = 0

∴  b = 78 cm

now as length = breadth

l = b = 78 cm

also putting this value in eqn (1)

h = 234 - 2b

h =  78 cm

So , the dimensions will be equal and will be 78cm , 78cm, 78cm each .

learn more about lagrange method here :

https://brainly.com/question/24208980

#SPJ4

Answer:

£2909.84

Step-by-step explanation:

184×12=$2208 for 12 nights at the hotel

6×9=$27 for 9 days of wifi

27×6=$162 for 6 taxi rides

Add all of them you get $2397, then convert that to £ you get £1309.84, now add the flight costs and your final answer should be £2909.84

Answer:

Frequency refers to the number of times an event or outcome occurs. The cumulative frequency at a point x is the sum of the individual frequencies up to and at point x. Typically, cumulative frequency gives us the number of times an outcome occurs that is above or below a given value.

Hope I helped.

Answer:

is by adding each frequency from a frequency distribution table to sum of its predecessos. the last value must equal to the total observe.

For example:

match table is 11, 8, 10, 7

so the cumulative total will be

11

11+8=19

19+10=29

29+7=36

this mean that the total of the match table is the sum of all numbers and each must equal to the cumulative data

a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price

b) The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

Given,

The purchase price for the studio apartment = $200,000

The down payment they paid = $60,000

a) We have to find the percentage of down payment to purchase price.

Here,

Percentage = (down payment x 100) / purchase price

= (60,000 x 100) / 200,000

= 60/2

= 30

That is,

The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.

b) We have to find the percentage to purchase price if the down payment is $90,000

Here,

Percentage = (down payment x 100) / purchase price

= (90,000 x 100) / 200,000

= 90/2

= 45

That is,

The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

Learn more about percentage of down payment here;

https://brainly.com/question/26831770

#SPJ1

The correct answer is II. Rescales the distribution by dividing by the standard deviation.  This transformation does not change the shape or skewness of the distribution and does not create outliers.

Standardizing a distribution means converting it into a standard normal distribution with a mean of 0 and a standard deviation of 1.

This is achieved by subtracting the mean from each value and then dividing by the standard deviation.

Standardizing does not shift the distribution, change its skewness or symmetry, or create outliers.

Standardizing a distribution involves transforming the original data so that it has a mean of 0 and a standard deviation of 1.

This transformation is useful because it allows for comparisons between variables that may be measured on different scales, and it simplifies the interpretation of statistical results.

Standardizing does not change the shape or skewness of the distribution, nor does it create outliers.

Learn more about Standardizing

brainly.com/question/15287326

#SPJ11

Answer:

.9

Step-by-step explanation:

sinx=opp/hyp 18/20=.9

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

Read more on a parallelogram here: brainly.com/question/31416609

#SPJ1

Answer:

(- 2, - 4 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then

multiply each of the coordinates by \(\frac{1}{3}\), thus

(- 6, - 12 ) → (\(\frac{1}{3}\) × - 6 , \(\frac{1}{3}\) × - 12 ) → (- 2, - 4 )

To find the differential of the function y = s / (5 + 9s), we differentiate it with respect to s. The resulting differential gives us an expression for the rate of change of y with respect to s.

To differentiate the function y = s / (5 + 9s) with respect to s, we use the quotient rule of differentiation. The quotient rule states that for a function u/v, the derivative is given by (v * du/ds - u * dv/ds) / v^2.

In this case, u = s and v = (5 + 9s). Using the quotient rule, we have:

dy/ds = [(5 + 9s) * d/ds(s) - s * d/ds(5 + 9s)] / (5 + 9s)^2

Since d/ds(s) = 1 and d/ds(5 + 9s) = 9, we can simplify the expression:

dy/ds = (5 + 9s - 9s) / (5 + 9s)^2

Simplifying further, we have:

dy/ds = 5 / (5 + 9s)^2

Therefore, the differential of the function y = s / (5 + 9s) is dy/ds = 5 / (5 + 9s)^2. This represents the rate of change of y with respect to s.

Learn more about function here: brainly.com/question/30660139

#SPJ11

To find the differential of the function y = s / (5 + 9s), we differentiate the function with respect to s. The resulting differential represents the change in y for a small change in s.

We start by rewriting the given function as y = s / (5 + 9s) = s(5 + 9s)^(-1). To find the differential, we differentiate this function with respect to s using the quotient rule.

Applying the quotient rule, the derivative of y with respect to s is given by:

dy/ds = (5 + 9s)^(-1) - s(9)(5 + 9s)^(-2)(9) = (5 + 9s)^(-1) - 81s(5 + 9s)^(-2)

Therefore, the differential of the function y = s / (5 + 9s) is dy/ds = (5 + 9s)^(-1) - 81s(5 + 9s)^(-2). This expression represents the rate of change of y with respect to s.

Learn more about function here: brainly.com/question/30660139

#SPJ11

Answer: She sold 2.68kg of apples in the market

Step-by-step explanation:

Weight of pears and apples= 6.7 kg

weight of pears = 3/5 x 6.7 kg= 4.02 kg

Weight  of apples = Total weight of the fruits -  weight of pears

= 6.70kg- 4.02kg =2.68 kg

Answer:

b

Step-by-step explanation:

The point estimate, given the average monthly trash bill in the town, can be found to be $56

The point estimate is defined as the single figure that is the best estimate a data set. This figure is often the mean and can also be the mode or the median.

In this case, the point estimate is needed for the average monthly trash bill which is between $44 and $68 which means that the point estimate will be the mean.

The mean is therefore:

= ( 44 + 68) / 2

= $56

Find out more on the point estimate at https://brainly.com/question/24261796

#SPJ1

Answer:

\(\mathrm{D.\:}14<x<32\)

Step-by-step explanation:

In any triangle, the sum of any two sides must be greater than the other side. Therefore, in the given triangle with side lengths \(9\) and \(12\), we can write the following inequalities:

\(\begin{cases}(x-2)+9>21,\\21+9>(x-2)\\\end{cases}\)

Solving these inequalities, we get:

\(x-2>12,\\x>14\\\\30>x-2,\\x<32\).

Combining this into one inequality gives us:

\(\mathrm{D.\:}14<x<32\).

Answer:

I subtract it the porportiin

Step-by-step explanation:

And what year r u in ???? So then I'm help u and understand

To construct a 95% confidence interval (CI) estimate of the proportion of eligible voters who said they voted, use Excel's CONFIDENCE.T function.

In Excel, input the following formula: =CONFIDENCE.T(alpha, standard_dev, size), where alpha=0.05, standard_dev=SQRT((701/1002)*(1-(701/1002))/1002), and size=1002. The output is the margin of error, which you add and subtract from the sample proportion (701/1002) to get the CI.
For part b, compare the 61% actual voter turnout to the CI obtained in part a. If 61% lies within the CI, the survey results are consistent with the actual voter turnout. If not, they're not consistent.

Learn more about margin of error here:

https://brainly.com/question/30633768

#SPJ11

The answer is B, because a function has each input value paired to no more than 1 output value. Since 1, 0, and 5 are already in the sets of ordered pairs given, none of those can be the x value.

Answer:

(8/4)100 = 200

Step-by-step explanation:

Simplify the following:

8/4×100

Hint: | Express 8/4×100 as a single fraction.

8/4×100 = (8×100)/4:

(8×100)/4

Hint: | In (8×100)/4, divide 100 in the numerator by 4 in the denominator.

4 | | 2 | 5

| 1 | 0 | 0

- | | 8 |  

| | 2 | 0

| - | 2 | 0

| | | 0:

8×25

Hint: | Multiply 8 and 25 together.

8×25 = 200:

Answer: 200

I believe that the answer is 200

In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

Learn more about hypothesis test here:

https://brainly.com/question/17099835

#SPJ11

9514 1404 393

Answer:

  (b)  -15

Step-by-step explanation:

The area under the curve from -5 to +5 can be divided into two trapezoids. The one from x=-5 to x=1 has an area of ...

  A = 1/2(b1 +b2)h = 1/2(1 +6)(5) = 17.5

The one from x=1 to x=5 has an area of ...

  A = 1/2(4 +3)(-1) = -3.5

So, the total area from x=-5 to x=+5 is 17.5 -3.5 = 14. This is the amount by which f(x) increases from f(-5) to f(5). That is ...

  f(-5) +14 = -1

  f(-5) = -15

Answer:

not equal to

Step-by-step explanation:

11*2-2*2=18

2*2-11*2=-18

18≠-18

Answer:

Is not, and the term is -2t.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

michael is doing an underwater handstand . His feet are sticking up 0.5 meter above the surface handsare 1.8 meters directly below his feet of the water

michael handsrelative to the surface of the water

Step-by-step explanation:

Answer:

AC=QP

AB=PR

<BAC=[<QPR

THESE SIDES AND ANGLES ARE CONGRUENT

Step-by-step explanation:

CAB=~QPR

The three consecutive odd numbers of the number 105 are:

107, 109 and 111

Consecutive numbers are those numerical values that are found just after a specific number or value, for example consecutive numbers from 10 will be 11 onwards.

To solve this problem we must have clear which is our base number, and this is 105, as we will determine the consecutive numbers we must add +1, +2.... as many times as we want, now as we only want the odd numbers and 105 is odd we will proceed to add multiplies of 2:

+2, +4 and +6, having as a result the following numbers:

The consecutive and odd numbers will be 107, 109, 111.

Learn more about consecutive numbers in:

https://brainly.com/question/28747515

#SPJ4

Based on the provided information, Anita is experiencing job dissatisfaction and engaging in frequent daydreaming during her workday. This can be indicative of a phenomenon known as "workplace disengagement" or "disengagement syndrome."

Workplace disengagement refers to a state in which an individual feels disconnected, uninterested, or disinterested in their job. It often arises when employees perceive a lack of opportunities for growth or advancement, feel unfulfilled by their current role, or experience dissatisfaction with their work environment. Anita's lack of perception regarding other employment opportunities suggests a feeling of being trapped or limited in her current job. Consequently, she resorts to daydreaming as a means of escapism or a way to mentally detach from her dissatisfying work situation.

It is important for Anita to address her job dissatisfaction and explore potential solutions. This could involve seeking career counseling, networking to identify other job opportunities, or discussing her concerns with a supervisor or HR representative. Taking proactive steps to address the underlying issues can lead to a more fulfilling work experience.

To know more about strategies for addressing job dissatisfaction, click here: brainly.com/question/29847581

#SPJ11

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

For more such questions on values

https://brainly.com/question/843074

#SPJ8