Hi I really need help

Answer:

the teacher will win becasue there are less numbers of colors to choose from one of the catagories then there are in total.

Step-by-step explanation:

The probability that the sample mean would differ from the true mean by less than $40 when a sample of 466 persons is randomly selected is approximately 0.9135 or 91.35%.

To solve this problem, we need to use the formula for the standard error of the mean, which is:

Standard Error = Standard Deviation / Square Root of Sample Size

In this case, the standard error would be:

Standard Error = 505 / Square Root of 466
Standard Error = 23.374

Next, we can use the formula for the z-score, which is:

z = (Sample Mean - True Mean) / Standard Error

If we want to find the probability that the sample mean would differ from the true mean by less than 40 dollars, we need to find the area under the normal curve between z = -1.70 and z = 1.70 (since 40 / 23.374 = 1.70).

We can use a standard normal distribution table or calculator to find that this area is approximately 0.9106.

Therefore, the probability that the sample mean would differ from the true mean by less than 40 dollars if a sample of 466 persons is randomly selected is 0.9106, rounded to four decimal places.

We will use the Central Limit Theorem and the z-score formula.

Given the mean per capita income (µ) is $17,145 per annum, the standard deviation (σ) is $505 per annum, and the sample size (n) is 466. We want to find the probability that the sample mean differs from the true mean by less than $40.

First, we need to calculate the standard error (SE) of the sample mean, which is given by:

SE = σ / √n

SE = 505 / √466 ≈ 23.38

Now, we will find the z-scores for the range of $40 from the true mean:

Lower bound: (17,145 - 40 - 17,145) / 23.38 ≈ -1.71
Upper bound: (17,145 + 40 - 17,145) / 23.38 ≈ 1.71

Finally, we will find the probability by looking up the z-scores in a standard normal table or using a calculator:

P(-1.71 < Z < 1.71) ≈ 0.9135

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Answer:

87

Step-by-step explanation:

earning rate (R) = $5/hr

total (T) = $287

time (t) = 40 hr

tips = T - Rt

= $287 - $5*40

$87

Answer:

Step-by-step explanation:

Let the original cost be x

The shoppers get 10% of the original price

Therefore the equation to find final cost =

Discount: 10x/100

Final Cost: 90x/100

Mark brainliest for further answers :)

Answer:

\(525\pi\)

Step-by-step explanation:

Volume of a cylinder is given by the function \(v=\pi r^{2}h\)

where v is volume, r is radius and h is height.

In order to find the radius we just divide the diameter in half and get

\(\frac{10}{2} =5=r\)

now we just plug the values in the formula

\(v=\pi r^{2}h\\=\pi (5^{2})(21)\\=\pi (25)(21)\\=525\pi\)

Answer:

Volume of a cylinder: V = π (r^2) h

Step-by-step explanation:

First, find your radius and your height.

H = 21

D = 10

R = 1/2 d = 5

Then plug them into the equation: V = π (r^2) h

V = π (5^2) 21

V = π (25) 21

V = π (25 x 21)

V = π (525)

V = 525π

Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

The possible values of DE are 12 and -12 because DE can be positive or negative depending on the arrangement of points on the line.

Since points C, D, and E are on a line, we can consider them as a line segment with CD = 20 and CE = 32. To find the possible values of DE, we need to consider the distance between D and E.

To find the distance between two points on a line segment, we subtract the smaller value from the larger value. In this case, DE = CE - CD.

So, DE = 32 - 20 = 12. This gives us one possible value for DE.

However, it's important to note that the distance between two points can also be negative if the points are arranged in a different order. For example, if we consider E as the starting point and D as the endpoint, the distance DE would be -12.

Therefore, the possible values of DE are 12 and -12.

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Answer:

36π

Step-by-step explanation:

Since we are given the equation and the value for m, we can plug it into the equation to solve for the area:

Area = πm²

Area = π6²

Area = 36π

Answer:

-4+2x-3

Step-by-step explanation:

Answer:

here's your solution

=> we need to solve this ( x^2 -y^2)

=> it is given that x = 12 y= 11

=> now putting the value of these in question

=>. 12^2 - 11^2

=> 144 - 121

=. 23

Answer:

Buffalo

Step-by-step explanation:

jfvjuvf

Answer:

90

Step-by-step explanation:

its a right angle

Answer:

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 5

d = 6

n = 21

We want to determine the value of the 21th term, thus, n = 21. Therefore,

T21 = - 5 + (21 - 1)6

T21 = - 5 + 120

T21 = 115

Answer:

115

Step-by-step explanation:

I had this on my test and I got 100%

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

Mass

Step-by-step explanation:

Answer:

y2-19y+361/4/(y-19/2)squared

Answer:

D: 50%

Step-by-step explanation:

mark brainliest

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

15mm x 10mm = 150mm

Step-by-step explanation:

Two way table is description of two dimensions' data and their intersections' data. The correct two-way table for the given data is:

Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ..., Y_k\). List them in title of the rows and left to the columns. There will be \(n \times k\) table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of \(X_i\) and \(Y_j\) (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

For the given case, let we suppose:
X = Ownership for skateboards

Y = Ownership for snowboards

Their frequencies are given in the problem as:

35 of the 99 students who own a skateboard have snowboarded.

That means  \(n(X_1 \cap Y_1) = 33\), and \(n(X_1)\) = 99 (total frequency(number of students) is 99)

There were 13 students who have snowboarded but do not own a skateboard, so \(n(X_2 \cap Y_1) = 13\)

147 students who have never gone snowboarding and do not own a skateboard.  Thus, \(n(X_2 \cap Y_2) = 147\)

We get the table as:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&35&n(X_1\cap Y_2)&99\\X_2&13&147&n(X_2)=13 + 147=160\\\rm Total & n(Y_1)=35+13=48 & n(Y_2) & S=160+99=259 \end{array}\)

Thus, we get number of students who doesn't own snowboard but own skateboard = 99 - 35 = 64

and total students not owning either snowboard or skateboard = 35 + 147 = 182

Thus, the completed table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&35&64&99\\X_2&13&147&160\\\rm Total & 48 & 211 & 259 \end{array}\)

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Answer: C

Step-by-step explanation:

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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The function g(x) is a polynomial function of degree n, where n is a positive integer.

A polynomial function is an algebraic expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In the case of g(x), the function is defined as g(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀, where a₀, a₁, ..., aₙ are constants and n is the degree of the polynomial.

The roots or x-intercepts of g(x) are the values of x for which g(x) equals zero. To find the roots, we set g(x) = 0 and solve for x. The y-intercept is the value of g(x) when x = 0, so we substitute x = 0 into the function to find the y-intercept.

The domain of g(x) is the set of all real numbers for which the function is defined. In the case of a polynomial function, the domain is always the set of all real numbers.

The range of g(x) is the set of all possible output values of the function. For polynomial functions, the range can be determined by analyzing the leading term of the polynomial and considering the degree and sign of the polynomial.

Restrictions on g(x) may arise due to certain mathematical operations or limitations on the variables involved in the function. Without specific information about g(x), it is difficult to determine any restrictions.

Observations about g(x) can be made by analyzing the graph of the function. The graph provides visual insights into the behavior of the function, including the shape, direction, and points of interest such as extrema or symmetry.

In summary, g(x) is a polynomial function of degree n with certain characteristics such as roots, y-intercept, domain, range, restrictions, and observations. Further analysis and graphing can provide more specific information about the function and its behavior.

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Answer:

THE THIRD CHOICE

Step-by-step explanation:

If the width of a rectangle is 3 in shorter than its length and area is 28 in. The dimensions of the rectangle are:

According to the given information, the width is 3 inches shorter than the length, so we can express this relationship as:

W = L - 3

The area of a rectangle is calculated by multiplying its length and width:

Area = Length × Width

Given that the area is 28 square inches, we can write the equation:

28 = L × W

Substituting the expression for the width, we have:

28 = L × (L - 3)

Expanding the equation:

28 = L^2 - 3L

Rearranging the equation into a quadratic form:

L^2 - 3L - 28 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. Let's use the quadratic formula:

L = (-b ± sqrt(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = -3, and c = -28. Substituting these values into the formula, we get:

L = (-(-3) ± sqrt((-3)^2 - 4(1)(-28))) / (2(1))

L = (3 ± sqrt(9 + 112)) / 2

L = (3 ± sqrt(121)) / 2

L = (3 ± 11) / 2

So we have two possible values for L:

L1 = (3 + 11) / 2 = 14 / 2 = 7

L2 = (3 - 11) / 2 = -8 / 2 = -4

Since length cannot be negative, we discard the negative value.

Now, we can find the corresponding width using the relationship W = L - 3:

W = 7 - 3 = 4

Therefore, the dimensions of the rectangle are:

Length = 7 inches

Width = 4 inches

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Answer:

Expanded Expression: 1s- 0.59s

Simplified Expression : 0.41 s

Discounted Price=  $ 2.46

Step-by-step explanation:

Directions: Write two markup or markdown expressions for each problem below. Then substitute the given value for the variable and evaluate the expression.

The Discounted Price is found out after deducting the discount from the original price.

Let 100 be the sale price then the discount is 59 and the discounted price would be 100- 59= $41

Sale Price = $ s

Discount = 59% of $ s

Discounted Price = s- (100-59)/100*( $s) = 1s- 0.59s   = 0.41 s

Expanded Expression                             Simplified Expression

 1s- 0.59s                                                                      0.41 s

Find the sale price of the Smelly Cat litter, when the regular price was $6 per bag.

Sale Price = $ 6

Discount = 59% of $ 6

Discount= (59/100) $6= $ 3.54

Discounted Price= Sale Price - Discount= $6 - $ 3.54= $ 2.46

Answer:

Step-by-step explanation:

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Answer:

option c

steps.4p-2=10

4p=2+10

4p=12

p=3

Answer:

(c) 3

Step-by-step explanation:

4p - 2 =10

4p =10 +2

4p =12

P =12 :4

p=3

Answer:

-1/7

Step-by-step explanation:

I think this because the  opposite of 7 is -1/7 and that is the meaning op perpendicular.

The population of a certain island as a function of time t is found to be given by the formula:

y = 20,000 / (1 + 6(2)^0.1t)The increment of y between t=10 and t=30 is -1,130.30.

To find the increment of y between t=10 and t=30, we first need to find the value of y at t=10 and t=30.
At t=10:
y = 20,000 / (1 + 6(2)^0.1(10))
y = 20,000 / (1 + 6(2)^1)
y = 20,000 / (1 + 6(2))
y = 20,000 / 13
y = 1,538.46
At t=30:
y = 20,000 / (1 + 6(2)^0.1(30))
y = 20,000 / (1 + 6(2)^3)
y = 20,000 / (1 + 6(8))
y = 20,000 / 49
y = 408.16
The increment of y between t=10 and t=30 is the difference between y at t=30 and y at t=10:
increment of y = 408.16 - 1,538.46
increment of y = -1,130.30

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