Use the Student's t distribution to find te for a 0.99 confidence level when the sample is 17. USE SALT

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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I can only draw the conclusion that if a triangle is equilateral, then it is describing various based on the previous statement, "If a triangle is isosceles, it is then equilateral."

Equilateral describes a triangle that has three equal sides. A triangle is referred to as isosceles if two of its sides are equal.

An equilateral triangle in geometry is a triangle whose sides are all of the same length. Since the three sides are equal, the three angles that are opposite the equal sides are also equal. As a result, it is also known as an equiangular triangle because each angle is 60 degrees.

The length of each side is the same. Two sides of an isosceles triangle are of equal length. Scalene triangle: Each side measures a different distance.

A triangle with two equal sides is called an isosceles triangle. Additionally, the two angles that face the two equal sides are also equal. To put it another way, "An isosceles triangle is a triangle with two congruent sides."

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Answer:

-3, -2.5, -3/4, 0.8, 2.5, 6 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 = 0.5

6 = 6

6 + 0.5 = 6.5

----------------------------------------------------------------------------------------------------------------

1/4 = 0.25

-1/4 = -0.25

-3/4 = -0.75

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Hope this helps! <3

Answer:

1.pi times the radius squared

2. 12

3. Yes

4. 8

5. a googol

Step-by-step explanation:

12

22/7 I believe is the closest fraction.

It is irrational by definition and cannot be expressed as a fraction. But there are a few close approximations.

Pi is not a fraction. A close approximation to pi, on the other hand, is 22/7.

8

Based on the given conditions, formulate:

\(64/8\)

Calculate

\(\frac{64}{8}\)

Cross out the common factor

\(8\)

I can figure out the rest once I get back home. I'm sorry I ran out of time.

Answer:

30 cm

Step-by-step explanation:

30+60=90

30×2=60 so 30cm is the answer.

Step-by-step explanation:

If one price is 2 times the other one, that means it's equal to 2 of those parts. Let's decide our total wire by three to account for the larger part.

\(90 \div 3 = 30\)

Now we know the shorter piece is 30 cm. To find the longer piece, multiply the shorter piece by 2.

\(30 \times 2 = 60\)

Recap:

Shorter Piece: 30 cm

Longer Piece: 60 cm

That's all there is to it! hope this helps.

okay so since the area is 22cm^2 , you will need to simplify it.

Which you will get 22*22 and the total would be 484. Which u will divide by 4 ( Square) to get each of the side your looking for.

So your answer is... 121

The point (1, 18), in the proportional relationship, means 18 cookies will require 1 cup of flour.

In a proportional relationship graph that models the relationship between two variables, x and y, a point on the graph means the value of x that will give a corresponding value of y. It is expressed as, (x, y).

(x, y) means the quantity of x that will give a corresponding quantity of y considering the proportional relationship between variables x and y.

Thus, the graph shows a proportional relationship between the number of cups of flour (y) that was used to make different numbers of cookies.

Thus, the point (1, 18) means that for 18 cookies to be made, 1 cup of flour is to be used.

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Answer:

a=75

Step-by-step explanation:

85^2-40^2=5625

then the square root of that is 75

Answer:

A)-7

B)2

C)-2

D)-4

Step-by-step explanation:

Answer:

well the (a) is -3 and (c) is 2

Step-by-step explanation:

There are 6561 different ways in total to respond to the multiple-choice test questions.

The number of quiz question = 8.

Number of possible answer is = 3.

The entire test of 8 questions could be answered in one of three ways for each question, and each solution is independent of any other answers:

= 3*3*3*3*3*3*3*3

= 3^8 ways

= 6561 ways

Thus, there are 6561 different ways in total to respond to the multiple-choice test questions.

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Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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The statement "on the final pass through the selection sorting algorithm two values are brought over from the unsorted list into the sorted list" is false.

To answer your question regarding the selection sort algorithm: On the final pass through the selection sorting algorithm, only one value is brought over from the unsorted list into the sorted list. So, the statement is false.

In a selection sort algorithm, during each pass, the minimum (or maximum, depending on the order) value in the unsorted part of the list is selected and then swapped with the first unsorted value. This process continues until there is only one value left in the unsorted part of the list, which is then automatically considered sorted.

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Given statement :- 5y = 8x does not represent direct variation.

K= the coefficient is 8/5 instead of a single constant value.

In the equation 5y = 8x, we can determine whether it represents direct variation by comparing it to the general form of a direct variation equation: y = kx, where k is the constant of variation.

If we rewrite the given equation in the form y = kx, we divide both sides by 5 to isolate y:

y = (8/5)x

Comparing this to the general form, we can see that the given equation is not in the direct variation form. In a direct variation equation, the coefficient of x (the constant of variation, k) should remain constant, but in this case, the coefficient is 8/5 instead of a single constant value.

Therefore, the given equation does not represent direct variation.

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The real zeros of the polynomial function P(x) = x⁵ − 50x³ + 49x are -1, 0, and 1.

To find the zeros of this function, we can factor it by first factoring out an x to get P(x) = x(x⁴ − 50x² + 49). Then, we can factor the quadratic expression inside the parentheses using the difference of squares formula, which gives us P(x) = x(x² − 1)(x² − 49). Simplifying further, we have P(x) = x(x − 1)(x + 1)(x - 7)(x + 7).

Therefore, the zeros of P(x) are the values of x that make each factor equal to zero. This gives us x = -7, -1, 0, 1, and 7. Since all of these values are real, we conclude that the number of real zeros of P(x) is 5.

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Answer:

I think 2

Step-by-step explanation:

6-2is 4 8-6 2 both have common 6 and 2 multiple of 6is 2

Answer:

area=[(a+b)/2]*h

Step-by-step explanation:

a= longer base length

b= shorter base length

h= height of trapezoid

36 number of ways to set out the letters without the i's together.

Order of the letters matters, so, this is a permutation problem.

Now we will determine in how many ways we can arrange these letters.

There are 2 repeating i's, so, we can arrange the letters:

5!/2! = 120/2

= 60 ways.

We also have the following equation:

60 = (number of ways to arrange the letters with the i's together) + (number of ways without the i's together).

To find the no. of ways to set out the letters with the i's together.

We have: [i-i] [d] [g] [t]

We see that with the i's together, we have:

4! = 24 ways to arrange the letters.

Thus, the number of ways to set out the letters without the i's together is:

60 – 24 = 36.

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Method used to calculate the measure of diversity of species of a particular community is Simpson diversity index which is given by

d = ∑nₐ(nₐ - 1)/N(N - 1).

As given in the question,

Let us consider 'd' represents the diversity of the species in a particular community.

nₐ represents the number of organism  belongs to a particular given species .

N represents the total number of organism present.

Then calculation of Simpson diversity index is given by :

d =∑nₐ(nₐ - 1)/N(N - 1)

The range of the diversity of Simpson diversity index is in between 0 to 1.

Therefore, the calculation Simpson diversity index is given by

d = ∑nₐ(nₐ - 1)/N(N - 1).

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Since the mean is 49 and the distribution is normal, we know that 50% of the data is less than 49%. Therefore, the percent of data within the interval "less than 49%" is 50%.

the mean is located at the center and divides the distribution into two equal halves. So if the mean is 49, then 50% of the data is below 49 and 50% is above 49. This is because the normal distribution is symmetric, and the area under the curve to the left of the mean is equal to the area under the curve to the right of the mean. Therefore, the percent of data within the interval "less than 49%" is 50%.

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The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

A lower price and quantity would result.

Answer:

I'm unable to plot graph, but I can give you the steps to graph the equation y = -²- 10x - 16 on the given set of axes.

Plot the vertex of the parabola: The vertex of the parabola is the point where the parabola changes direction. To find the vertex, you can use the formula (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the equation y = ax² + bx + c. In this case, a = -1, b = -10, and c = -16, so the vertex is (-10/2(-1), -(-10/2(-1))² - 10(-10/2(-1)) - 16) = (5,16).

Plot the roots: The roots of the equation are the values of x that make y = 0. To find the roots, you can set y = 0 and solve for x. In this case, y = 0 = -x² - 10x - 16. This equation can be solved by factoring or by using the quadratic formula. The roots are x = 4 and x = -2.

Plot five points on the parabola, including the vertex and the roots. To do this, you can substitute different values of x into the equation y = -x² - 10x - 16 and find the corresponding y-values. For example, you could plot the point (4,0), which is one of the roots, and (5,16), which is the vertex.

Connect the points to form a parabola.

Keep

Step-by-step explanation:

Lines e and f are parallel because their alternate exterior angle is congruent. Option C is correct.

Find the diagram attached;

The point where two lines meet is known as an angle.

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Answer: Option 3 or C. Lines e and f are parallel because their alternate exterior angles are congruent.

Step-by-step explanation: The correct answer is C.  

I got it right on the Edge 2022 quiz. Trust me the proof is shown below.

The measure of all the angles is given below:

angle 1= 30

angle 2=  150

angle 3= 30

angle 4= 150

angle 5= 30

angle 6= 150

angle 7= 30

angle 8= 73.5

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

As,

angle 1= 30 (Vertically opposite angle)

angle 7= 30 (corresponding angle)

angle 4+30= 180 (linear pair)

 angle 4= 150

angle 4= angle 2= 150 (Vertically opposite angle)

angle 2= angle 6= 150  (corresponding angle)

angle 1= angle 5= 30  (corresponding angle)

angle (2x+3)= angle 4  (corresponding angle)

     2x+3= 150

      x= 73.5

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Answer:

700,000 is 1000 times as much as 700

Step-by-step explanation:

700,000 divided by 700 is 1000

Answer:

The answer wouldn't be 100 but it would be 1000

Hoped I helped