The monthly utility bills in a certain city are normally distributed, with a mean of $120 and a standard deviation of $17. Assume that one utility bill is randomly? selected from the city's population. Write your answer as percent rounded to one decimal place. Do not include a "%" sign in your answer, just write the number.
A person is told that her bill is in the 75th percentile. How much is her bill? Write your answer to the nearest cent. Do not include a "$" sign in your answer.

The given work to find f'(x) using the definition of the derivative is flawed. Errors occur during the application of the limit and the calculation, resulting in an incorrect answer of 1.

: The given work attempts to find f'(x) for the function f(x) = √[f(x+h) - f(x)] using the definition of the derivative. However, there are several mistakes in the calculations.

The first error is when applying the limit h→0. Instead of evaluating the limit as h approaches 0, the limit is incorrectly taken twice in succession, leading to confusion and an incorrect result.

Furthermore, in the simplification step, the square root is improperly treated as a constant, and the subtraction of the two square roots is incorrect.

The incorrect simplification and mishandling of the limit lead to an incorrect answer of 1. However, the work does not correctly demonstrate the derivative of the given function.

Overall, the errors in the application of the limit and the flawed calculation of the derivative result in an incorrect answer. Proper application of the limit and correct algebraic manipulation are essential to obtain the correct derivative of the given function.

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-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Answer:

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Step-by-step explanation:

Pua will use 13, 1/4 cups of oatmeal.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Pua needs 3\(\frac{1}{4}\) cups of oatmeal.

The number of 1/4 cups of oatmeal,

she will use,

= 13/4 ÷ 1/4

= 13

Therefore, she will use 13 cups.

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The total cost of the brackets before tax = $89.70

Height = 9 feet

length = 10 feet

Wall brackets come in 48-in cost $12.95 and 60-in costing $16.95

Distance of brackets from ends = 1 foot

Maximum distance between brackets = 24 inches

The brackets are:

  48/12= 4feet, and 60/12 = 5feet

One of each must be used to cover the height of the shelf.

The length of the shelf is 60 inches

On subtracting 1 foot from each side of the allowance we get, 60-2 = 58-in

Then dividing by 24 we get

58/24 ≈3

The Total cost = (12.95 + 16.95)×3

                        = $89.70

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Answer: B

Step-by-step explanation:

Using the distance formula, we get the height is \(4\sqrt{2}\).

Similarly, we get the base is \(6\sqrt{2}\).

So, the area is \(\frac{1}{2}(4\sqrt{2})(6\sqrt{2})=24\)

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

0cm

i think the the area doesn't exist

Step-by-step explanation:

soln:

given:

a=8cm

b=16cm

area of triangle ABC(A)=?

here,

A=b/4√4a^2-b^2

or,A=16/4√4(8)^2-(16)^2

or,A=4√4*64-256

or,A=4√256-256

or,A=4√0

or,A=4*0

•°•A=0cm

Answer: $1133

Step-by-step explanation:

Programmer's pay for 51 weeks will be

(51 * 58916) / 52 = 57,783

Loss in salary

= 58916 - 57783 = 1133

The probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The number of possible answer responses for each question is 4, since there are 4 options.

The number of possible answer responses for all 3 questions can be found by multiplying the number of possible answer responses for each question. Therefore, the total number of possible answer responses for the quiz is 4 x 4 x 4 = 64.

If the student completely guesses on every question, there is a 1 in 4 chance (or a 25% chance) of getting each question correct. Since there are 3 questions, the probability of getting all 3 questions correct is (1/4) x (1/4) x (1/4) = 1/64.

Therefore, the probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.

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Answer:

13

Step-by-step explanation:

10c - 7 • 11

c = 9

then:

= (10·9) - (7·11)

= 90 - 77

= 13

Answer:

The answer is 9.0909

Step-by-step explanation:

n=1  p=.11

mean = 1/0.11 = 9.0909

The mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.

The mean refers to "the average set of values".

According to the question,

The percentage of patients experiencing injection- site reactions with the current needle is 11%.

Mean = \(\frac{sum of the all values}{Total number of values}\)

Total number of values = 11% = 0.11 and  n = 1.

Mean = \(\frac{1}{0.11}\)

=9.0909.

Hence, the mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.

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In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

-2

Step-by-step explanation:

For a straight-line graph, pick two points on the graph.

The gradient of the line = (change in y-coordinate)/(change in x-coordinate)

             (x, y)

Point 1: (2, 0)

Point 2: (3, 2)

Gradient = (change in y)/(change in x)

= (2 - 0) / (3 - 2)

= 2 / 1

= 2

Note: gradient is basically slope where slope = rise / run

Answer:

help has arrived its -2

Step-by-step explanation:

1st 2nd and last

Step-by-step explanation:

simplify your inequality

6x >= 3 + 4(2x -1)

6x >= 3 + 8x - 4

2x >= 1

x >= 1/2

so indeed the

1st one , the 2nd and the last one

first, second, last

Hope it helps

There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

The total amount of berries = 212 pounds

The number of berries received by each one = 54 pounds

Then, the number of friends sharing the berries is:

212/54 = 3.92 ≈ 4 friends.

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Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Suppose that 59% of students in a college have a smart phone. If you select three students at random,  the probability is 19.4%.

the probability that all three have a smart phone can be calculated as follows:

P(all 3 students have a smartphone) = P(1st student has a smartphone) × P(2nd student has a smartphone given that the 1st student has a smartphone) × P(3rd student has a smartphone given that the 1st and 2nd students have smartphones)

Given that 59% of students in a college have a smartphone, the probability that the first student selected at random has a smartphone is also 59%.

After selecting the first student, there are now two students left, one of whom must also have a smartphone. Thus, the probability that the second student selected has a smartphone, given that the first student does have a smartphone, is 58%.Similarly, after selecting two students, there is only one student left, who must have a smartphone.

As a result, the probability that the third student selected has a smartphone, given that the first two students have smartphones, is 57%.

Therefore, P(all 3 students have a smartphone) = 0.59 × 0.58 × 0.57 = 0.194, or approximately 19.4%.

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Answer:

0.01 (B:  unlikely)

Step-by-step explanation:

2 out of the 20 pens are red.  Thus, the probability of selecting a red pen is 2/20, or 0.01 (B:  unlikely)

Answer:

  A.  3, 0, -3, -6

Step-by-step explanation:

The sequence with constant first differences is an arithmetic sequence. The sequence of A has a common difference of -3, so is an arithmetic sequence.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

f(x) = x

g (x) = ?

Step 02:

translated

1 up ===> y + 1

y = x

y + 1 = x

y = x - 1

reflected across the y- axis

(x , y) ===> (- x , y)

y = - x - 1

The answer is:

g(x) = - x - 1

Answer:

2880

Step-by-step explanation:

volume formula: l×w×h

multiply all and you get 2880

Answer:

The answer is 20 feet and/or 34560 inches

The largest wedge in a pie chart will be Purple.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The color with the largest number of students is the one that will be represented by the largest wedge in the pie chart.

From the given data,

We see that the color with the largest number of students is purple, with 18 students.

Therefore,

The largest wedge in a pie chart will be Purple.

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Answer:

0

Step-by-step explanation:

Answer:

I think the answer is B.6.4ft

Step-by-step explanation:

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

\(AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,\)

Answer:

C

Step-by-step explanation:

not sure about this but i think ur original answer was right

Answer:

Picture A: statement c is incorrect. It should be: The scale factor used was 0.4.

Picture B: statement B is incorrect. It should be: Line KL corresponds with line FG.

Second pic:

Amos was correct

Tash was correct

Both were correct

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

EOF + AOB + FOA = 180 degrees

FOA = COD (theyre on the same lines, directly across from each other)

EOF = 33

AOB = 88

EOF + AOB = 121

180-121=59

FOA = 59

COD = 59

Answer:

Step-by-step explanation:

There are a total of 35 questions on a test:

Points from multiple choice answers = 2m

Points from short answers = 5s

There are a total of 100 points on the test:

The condition is

\(\\ \sf\longmapsto m+s=35\)

\(\\ \sf\longmapsto 2m+5s=100\)