if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid?

Answer:

\( x = 4 \sqrt{3} \)

Step-by-step explanation:

By geometric mean theorem and Pythagoras theorem:

\( {x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3} \)

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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Part A: Each block will have an area of 128 square inches (8 in. x 16 in.), but the outside border of each block will be covered with blue paint.

Area is the measurement of the space contained within a two-dimensional surface.

The outside border of each block is 8 in. long and 16 in. high, for a total of 128 square inches of each block that is covered in blue paint.

Part B: The entire mural will have 25 identical blocks, so the total number of square inches of the entire mural that will be covered by white paint is 3,200 square inches (25 blocks x 128 square inches per block).

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Answer:

The second option and the last option

Step-by-step explanation:

10^5 equals 100000 and if you try all options the only 2 that also equal 100000 is those two.

Answer:

No

Step-by-step explanation:

17/8 = 2.125

5/4 = 1.25 meaning they do not form a proprtion, i hope i helped you!

Answer:

First find x and y at given parameters:

Maximum height is at vertex. Time is:

Maximum height is:

Horizontal distance:

Time to hit the ground:

Answer:

15a^3 -5y -10

Step-by-step explanation:

Use PEMDAS to simplify and combine like terms

Answer:

i would choose a 3 and color red

Step-by-step explanation:

i still don't understand the question tho

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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The required expression by distributing the w on the right side, we get: A = 5w^2 + 4w

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

Let's call the width of the parking lot "w". According to the problem, the length is 4 yards more than 5 times the width, so we can write the length as 5w + 4.

The formula for the area of a rectangle is A = length × width. Substituting in our values, we get:

A = (5w + 4) × w

Simplifying this expression by distributing the w on the right side, we get:

A = 5w^2 + 4w

This is the formula for the area of the rectangular parking lot in terms of its width. To find the actual area, we need to know the width. Once we have that, we can plug it into the formula and solve for A.

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Should there be a global effort to sharply reduce the cutting and burning of old-growth forests?

Yes, there should be a global effort to sharply reduce the cutting and burning of old-growth forests. Old-growth forests are vital ecosystems that provide numerous environmental, social, and economic benefits. They are home to diverse species, including endangered ones, and play a crucial role in carbon sequestration, mitigating climate change, and preserving biodiversity.

Cutting and burning old-growth forests contribute to deforestation, habitat loss, and greenhouse gas emissions. It disrupts ecosystems, threatens species survival, and exacerbates climate change. Protecting old-growth forests is essential for maintaining ecological balance and promoting sustainable development.

Numerous references and scientific studies support the importance of preserving old-growth forests. Some relevant sources include:

"The Importance of Old-Growth Forests" by the World Wildlife Fund (WWF): https://www.worldwildlife.org/initiatives/old-growth-forests

"Old-growth forest protection: A key tool in fighting climate change" by The Nature Conservancy: https://www.nature.org/en-us/what-we-do/our-insights/perspectives/old-growth-forest-protection-fighting-climate-change/

"Old-Growth Forests: Function, Fate and Value" by the United Nations Environment Programme (UNEP): https://www.unep-wcmc.org/resources-and-data/old-growth-forests-function-fate-and-value

These resources provide comprehensive information on the importance of old-growth forest conservation and the need for global efforts to reduce cutting and burning practices.

The question provided seems incomplete and unclear. It mentions a relationship between letters of the alphabet and percentages but does not provide any context or options to choose from. Please provide more information or clarify the question, and I'll be glad to assist you further.

The domain of the function h(x) = 4·㏒₂(x - 6) + 1, using interval notation is (6, ∞)

The domain of a function is the set of the possible input values of the function, which is denoted as dom(f).

The domain of the function f: X → Y, is defined as the values of X

The given function is; h(x) = 4·㏒₂(x - 6) + 1

The domain of a function is the set of the possible input (x-values) of the function.

The values which the function ㏒₂(x - 6) can have as input, which is the domain of the function, ㏒₂(x - 6) is; 0 < x - 6 < ∞

Which gives: 6 < x < ∞

The domain of the function, h(x) = 4·㏒₂(x - 6) + 1 is 6 < x < ∞, which using interval notation is (6, ∞)

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A graph which best shows the combination of both functions, c(t) is plotted in the image attached below.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data on a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

In conclusion, a graph which best shows the combination of both functions, c(t) is plotted in the image attached below.

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It is difficult to determine which graph would best represent the combination of the functions without knowing the details of those functions.

The sum of the two functions h(t) and s(t), which model the rise in pool temperature, can be written as follows:

c(t) = h(t) + s (t)

The specific functions h(t) and s(t) and their values at various times t would affect the graph of c(t).

Both the function h(t) and the function s(t) model the rise in temperature brought on by the sun and the heater, respectively.

The resulting function, c(t), provides the overall increase in temperature caused by the heater and the sun at any given time t. The specific functions h(t) and s(t) and their corresponding rates of change at various periods t, as well as other elements that might have an impact on the pool's temperature, would determine the shape of the graph of c(t).

Which graph would best depict their combination is difficult to answer without knowing the precise functions.

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This is the equation for the tangent plane to the graph of the function at the given point (-3, -8, 24).

To find the equation for the tangent plane to the graph of the function at the point (-3, -8, 24), we need to find the partial derivatives of the function with respect to x and y.

Given the function f(x, y) = y ln\((x^2 + y)\) + \(xy\), we have:

∂f/∂x = \(y(2x/(x^2 + y)) + y\)

∂f/∂y = ln\((x^2 + y) + x\)

Now, we evaluate these partial derivatives at the point (-3, -8):

∂f/∂x = \((-8)(2(-3)/((-3)^2 + (-8))) + (-8) = 0\)

∂f/∂y = ln\(((-3)^2 + (-8)) + (-3) = ln(9) - 3\)

The tangent plane to the graph of the function at the point (-3, -8, 24) can be represented by the equation:

0(x - (-3)) + (ln(9) - 3)(y - (-8)) + (f(-3, -8) - 24)(z - 24) = 0

Simplifying this equation gives:

(y + 8)(ln(9) - 3) + 32(z - 24) = 0

This is the equation for the tangent plane to the graph of the function at the given point (-3, -8, 24).

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Lilly needs 686 dark power crystals to raise 6174 zombies.

To solve this problem, we need to determine how many dark power crystals are needed to raise a specific number of zombies. We know that each crystal can raise 9 zombies. So, to determine the number of crystals needed to raise a given number of zombies, we simply divide that number by 9.

In this case, we want to know how many crystals Lilly needs to raise 6174 zombies. So we divide 6174 by 9

= 6174 / 9

Divide the numbers

= 686

This means that Lilly needs 686 dark power crystals to raise 6174 zombie

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The given question is incomplete, the complete question is:

Lilly is using dark power crystals to raise an army of zombies.each crystal can raise 9 zombies. how many crystal does Lily need to raise 6174 zombies​

Answer:

John's balance before making the deposit is -$195.

Step-by-step explanation:

Let us assume that John's bank balance is $X.

Now,

John makes a deposit of $120 and still, he is overdrawn by $75.

Therefore,

\(\begin{aligned}\rm{\$X} + \rm{\$120} &= -\rm{\$75}\\X&=-\$195\end{aligned}\)

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The forage supply can be calculated by multiplying the production per acre by the number of acres. In this case, the rangeland produces 600 lbs per acre, and there is a total of 600 acres.

Therefore, the forage supply would be 600 lbs/ac * 600 acres = 360,000 lbs.

To calculate the forage supply, we multiply the production per acre, which is 600 lbs/ac, by the total number of acres, which is 600. This calculation gives us the total forage supply in pounds. By multiplying 600 lbs/ac by 600 acres, we find that the forage supply is 360,000 lbs.

This means that there are 360,000 pounds of forage available from the given piece of rangeland. This information can be useful for assessing the available resources for grazing livestock or estimating the amount of forage needed for specific purposes.

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Answer:

  -6

Step-by-step explanation:

You want to know where the line y=6 intersects the graph of h(x) shown as a series of line segments.

The attached graph shows the value of h(x) is 6 for x=-2 (known) and x=-6.

The other input value is -6.

Answer: before the sale, the basketball game was $50.00 .

Step-by-step explanation: you do $35.00 + 15% and you would get $50

Step-by-step explanation:

If we assume the position of each scoop in the stacked cone of 4 scoops matters, but its position in the bowl does not, this reduces to a problem of permutation vs. combination. For every combination of 4 scoops, they can be arranged in 4! = 4*3*2*1 = 24 ways. So we need to divide 3024 by 24 to get the number of 4-scoop combinations that are possible. 3024/24 = 126 different bowls.

Answer:

I can’t really answer this because you didn’t show a picture. Here’s a thought though. Look up a shape chart on google and work from there. Hope this helps you out

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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The solution is, Based on the information marked in the diagram, XYZ and ABC must be congruent, The answer is True.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

here, we have,

we know that,

The Leg Leg Theorem says:

If the legs of one right triangle are congruent to the legs of another right triangle, then the two triangles are congruent.

now, we have,

from the given diagram, we get,

Since we have two right triangles with both corresponding legs congruent,

by the LL congruence theorem, those triangles are congruent.

The answer is True.

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Answer:

-Managing money $$$

-Balancing the checkbook.

-Shopping for the best price.

-Preparing food.

-Figuring out distance, time and cost for travel.

-Understanding loans for cars, trucks, homes, schooling or other purposes.

-Understanding sports (being a player and team statistics)

-Playing music.

These are things we do everyday that use Math.

Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

The standard matrix of the linear transformation t is:

⎡ 1  0  0 ⎤

⎢ 0  1  0 ⎥

⎣ 0  0  1 ⎦

To find the standard matrix of the linear transformation t, we need to determine how the transformation t acts on the standard basis vectors.

The standard basis vectors in ℝ³ are:

e₁ = (1, 0, 0)

e₂ = (0, 1, 0)

e₃ = (0, 0, 1)

We apply the transformation t to each of these vectors:

t(e₁) = t(1, 0, 0) = (t₁₁, t₂₁, t₃₁)

t(e₂) = t(0, 1, 0) = (t₁₂, t₂₂, t₃₂)

t(e₃) = t(0, 0, 1) = (t₁₃, t₂₃, t₃₃)

Therefore, the standard matrix of the transformation t is:

⎡ t₁₁  t₁₂  t₁₃ ⎤

⎢ t₂₁  t₂₂  t₂₃ ⎥

⎣ t₃₁  t₃₂  t₃₃ ⎦

From the information given, we know that the columns of the standard matrix correspond to the images of the standard basis vectors under the transformation t. Using the columns provided in the question:

Column 1: (t₁₁, t₂₁, t₃₁) = (1, 0, 0) = e₁

Column 2: (t₁₂, t₂₂, t₃₂) = (0, 1, 0) = e₂

Column 3: (t₁₃, t₂₃, t₃₃) = (0, 0, 1) = e₃

Therefore, the standard matrix of the linear transformation t is:

⎡ 1  0  0 ⎤

⎢ 0  1  0 ⎥

⎣ 0  0  1 ⎦

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Answer:

huh

Step-by-step explanation:

The f-intercept of the function f(t) = (t-5)(t^7)(t-6) is 0, and the t-intercepts are t=5, t=0 (with multiplicity 7), and t=6.

To find the f-intercept of the function f(t) = (t-5)(t^7)(t-6), we need to find the value of f(t) when t=0. To do this, we substitute 0 for t in the function and simplify:

f(0) = (0-5)(0^7)(0-6) = 0

Therefore, the f-intercept of the function is 0.

To find the t-intercepts of the function, we need to set f(t) equal to 0 and solve for t. We can do this by using the zero product property, which states that if ab=0, then either a=0, b=0, or both.

So, setting f(t) = (t-5)(t^7)(t-6) = 0, we have three factors that could be equal to 0:

t-5=0, which gives us t=5
t^7=0, which gives us t=0 (this is a repeated root)
t-6=0, which gives us t=6

Therefore, the t-intercepts of the function are t=5, t=0 (with multiplicity 7), and t=6.

In summary, the f-intercept of the function f(t) = (t-5)(t^7)(t-6) is 0, and the t-intercepts are t=5, t=0 (with multiplicity 7), and t=6.

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