in a survey, 19 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $40.7 and standard deviation of $9.2. estimate how much a typical parent would spend on their child's birthday gift (use a 80% confidence level). give your answers to 3 decimal places.

The distance Hailey and Levi are from the stadium as they drive, can be  

shown using a graph.

Reasons:

The given information are;

Distance of Hailey from the stadium at noon = 300 miles

Distance of Levi from the stadium at noon = 450 miles

Hailey's speed = 25 mph

Levi's speed = 50 mph

Required:

(a) Draw the graph of the function of their distance from the stadium

(b) Determine the distance how far from the stadium at which they are at an equal distance from the stadium.

Solution:

Based on the question, the required function are;

Hailey's distance from the stadium, H = 300 - 25·t

Levi's distance from the stadium, L = 450 - 50·t

The graph of the distance of Hailey and Levi can be plotted on MS Excel using the above functions.

At the time they are equal distance from the stadium, we have;

H = L

Which gives;

300 - 25·t = 450 - 50·t

50·t - 25·t = 450 - 300 = 150

25·t = 150

\(\displaystyle t = \frac{150}{25} = 6\)

Therefore, after 6 hours, Hailey and Levi are at an equal distance from the stadium.

The distance from the stadium, d = 300 - 25 × 6 = 150

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Answer:

Step-by-step explanation:

The picture above explains the given answer.

Yes, the figure shown in the xy-coordinate plane is a parallelogram because side OP is parallel to side TS and side OT is parallel to side PS

In order for any quadrilateral to be considered a parallelogram, two pairs of its parallel sides must be equal (congruent). Therefore, we would determine the slope of each side by using this mathematical equation:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

For side OP, the slope is given by:

Slope (m) = (b - 0)/(a - 0)

Slope (m) = b/a.

For side TS, the slope is given by:

Slope (m) = (0 - )/(c - (a + c))

Slope (m) = -b/-a = b/a

Therefore, side OP is parallel to side TS.

For side OT, the slope is given by:

Slope (m) = (0 - 0)/(c - 0)

Slope (m) = 0.

For side PS, the slope is given by:

Slope (m) = (b - b)/((a + c) - c)

Slope (m) = 0

In conclusion, the figure shown above is a parallelogram because side OT is parallel to side PS and side OP is parallel to side TS.

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Answer:

no entiendo el inglés no puedo ayudarte

Answer:

63

Step-by-step explanation:

triangles will always add up to 180

therefore 92+25 = 117

then subtract 117 from 180 (180-117)

and you get 63

The correct answer is 138 students.

x = .24 * 575

x = 138 students

Therefore, the correct answer is 138 students.

A cumulative relative frequency distribution shows option (A) the proportion of data items with values less than the upper limit of each class

A cumulative relative frequency distribution shows the proportion of data items with values less than or equal to the upper limit of each class. It provides a cumulative summary of the data distribution by adding up the frequencies or proportions of all preceding classes.

To construct a cumulative relative frequency distribution, you start with the lowest class and calculate the relative frequency (proportion) of data items in that class. Then, for each subsequent class, you add the relative frequency of that class to the cumulative relative frequency from the previous class. This cumulative value represents the proportion of data items with values less than or equal to the upper limit of the current class.

In essence, a cumulative relative frequency distribution allows you to track the accumulation of data values as you move through the classes, giving insights into the overall distribution and the proportion of data items falling below specific values.

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If the equation Ax = b has multiple solutions, we can conclude that the transformation represented by matrix A is not one-to-one and not invertible.

If the equation Ax = b has more than one solution for some b, it implies that the transformation represented by matrix A is not invertible or not bijective.

To justify this, let's consider the implications of the equation having multiple solutions. If there are multiple solutions to Ax = b, it means that there are different vectors x₁ and x₂ that satisfy the equation. In other words, there exist two distinct inputs that produce the same output when multiplied by A. This violates the condition of a one-to-one transformation, which states that each input should have a unique output.

Furthermore, if A is not invertible, it means that there is no unique inverse matrix A⁻¹ that can be used to recover the original input x from the output b. Invertibility is a characteristic of one-to-one transformations, as it ensures that the transformation can be reversed to obtain the original input.

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Answer:

y= -0.5x+5

Step-by-step explanation:

This is because the cash register is always subtracting 0.5 from a positive 3 on the gift card.

Hope this helped

Answer:

\(f(x) = x {}^{2} \)

After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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Answer:

You can find the product of a number and a power

of 10 by moving the decimal point of the number.

– If the exponent is positive, move the decimal point to

the right.

– If the exponent is negative, move the decimal point to

the left.

• You may need to write zeros to the right or left of

the number in order to move the decimal point.

Step-by-step explanation:

The change in electrical potential when moving along the x-axis from x = 5.0 m to x = 1.0 m. The result depends on the values of A, B, and C, which are given as 1.5 V/m^(-3), 0.45 V/m^(-2), and -15 V/m^(-1) respectively.

To calculate the change in electrical potential, we need to integrate the electric field along the path of motion. In this case, we are moving along the x-axis, so only the x-component of the electric field is relevant.

The electric potential difference (ΔV) between two points A and B is given by the formula:

ΔV = ∫ E · dl

where E is the electric field and dl is an infinitesimal displacement along the path of motion. Since we are only concerned with the x-component of the electric field, the integral simplifies to:

ΔV = ∫ (Ax^2 + Bz) dx

Integrating with respect to x from x = 5.0 m to x = 1.0 m, we can find the change in electrical potential.

ΔV = ∫ (Ax^2 + Bz) dx = ∫ (1.5x^2 + Bz) dx

Evaluating the integral, we get the change in electrical potential when moving along the x-axis from x = 5.0 m to x = 1.0 m in the given electric field.

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If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

What is a case?

In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.

What is the case in this situation?

Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.

A. Number of bags weighing more than 75 pounds.

B. Average weight of the bags.

C. Each piece of baggage.

D. The airport administrators.

Hence airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

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Answer:

Try going on D.e.s.m.o.s.c.o.m it worked for me when I  had something like this

Step-by-step explanation:

GURL POWER

Answer:

Step-by-step explanation:

In the question we are given ,

And , we have to find the height of cylinder .

We know that ,

\(

\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow\)

Our solution starts from here :

\( \longmapsto \: \pi \: r {}^{2} h = 225\pi\)

Step 1 : Cancelling π with π :

\( \longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}\)

Step 2 : Substituting value of radius which is 5 cm in the formula :

\( \longmapsto \: (5) {}^{2} \times h = 225\)

\( \longmapsto \: 25h = 225\)

Step 3 : Transposing 25 to right hand side :

\( \longmapsto \: h = \frac{225}{25} \)

Step 4 : Cancelling 225 by 25 :

\( \longmapsto \: \red{\boxed{h = 9 \: cm}}\)

Yes, the given statement is true if the variance of the population 'a' is smaller than the variance of population 'b' it represents that population 'b' is more variable than 'a'.

Therefore, the given statement is true for the variance of population 'a' and 'b'.

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Answer:

there was 6 associates assigned to the case and 2 partners

Step-by-step explanation:

what i did was did 1400 times 2 and 500 times 6. then i did 6 divided by 3 which gave me 2. So there are 3 times more associates.

Hope this helped

The coordinates of point B' are (-3, 6).

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

What are the coordinates of B' after the translation?

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\(\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)\)

Therefore, the coordinates of point B' are (-3, 6).

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Answer:

(-3, 6)

Step-by-step explanation:

The series of transformations consists of a translation down two units and a reflection across the y-axis. Thus, option C is correct.

The points A and C will be replaced with D and F, respectively, by a reflection across the y-axis, leaving B in the same location. As a result, the image of AABC is given, A'D'BCF.

The final image, denoted by the letters ADEF, is produced by translating all the points of the image A'D'BCF' down by two units.

ADEF and AABC are not in the same location, even if they are the same height and shape.

The first thing we notice is that ADEF and AABC are oriented the same way, so we don't need to rotate them. Instead, by utilising a reflection over the y-axis, we may swap out the places where A and B were for D and E, respectively.

A'B'C' is still not in the appropriate place even though it is 2 units to the left of ADEF. Hence, we must translate 2 units down in order to position A'B'C' where ADEF is.

Therefore, A reflection across the y-axis and a translation 2 units down.

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Answer:

1. (c)

2. (c)

Step-by-step explanation:

Answer:

Function B has a greater slope than function A.

Answer:

11,18,25

Step-by-step explanation:

add 7

X^6 + X^5 + X^4 + X + 1 is an irreducible polynomial of degree 6 over GF(2).

To find an irreducible polynomial of degree 6 over GF(2), we can use the fact that any polynomial of degree n over GF(2) can be factored into irreducible polynomials of degree 1, 2, 3, ..., n.

We can start by considering a polynomial of the form X^6 + aX^5 + bX^4 + cX^3 + dX^2 + eX + f, where a, b, c, d, e, f are elements of GF(2). We want to find coefficients that result in an irreducible polynomial.

One approach is to use a computer algebra system to systematically test values of a, b, c, d, e, f until we find a polynomial that is irreducible. However, a more efficient approach is to use the known irreducible polynomials of degrees 2 and 3 over GF(2) to construct a polynomial of degree 6 that is likely to be irreducible.

One possible construction is to take the product of two irreducible polynomials of degree 3:

(X^3 + X + 1)(X^3 + X^2 + 1). This yields the polynomial X^6 + X^5 + X^4 + X + 1.

To check if this polynomial is irreducible, we can use a technique called the Berlekamp algorithm. This algorithm can determine if a polynomial is irreducible by computing the greatest common divisor of the polynomial and its derivative.

If the greatest common divisor is 1, then the polynomial is irreducible. Applying the Berlekamp algorithm to X^6 + X^5 + X^4 + X + 1 confirms that it is indeed irreducible over GF(2).

Therefore, X^6 + X^5 + X^4 + X + 1 is an irreducible polynomial of degree 6 over GF(2).

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Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.

The number of tiles needed to cover the floor is 60 tiles.

Given Information,

The floor area of the passage = 2.4 m²

Length of a side of square tile = 200mm

Length of the side is in mm which needs to be converted in its standard form which is meters.

Therefore, the length of side = 200/1000 m

                                                = 0.2 m

Area of the square tile = 0.2 x 0.2

                                      =  0.04 m²

Let the number of tiles be x.

∴ Number of tiles = \(\frac{Area of passage}{Area of each tile}\)

 x = 2.4/0.04

 x = 60

∴ The number of tiles needed to cover the floor is 60 tiles.

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Marcelino will bear a loss of $7.5 and the correct statement is "Marcelino will have a loss of $7.50: his costs are more than his profits".

Given information:

The requirements and cost of making the ballons is:

Item                                             Cost

Thirty Balloons                           $22.50

Ribbon                                        $7.50

Helium Tank Rental                   $15.00

Marcelino sells balloons at the rate of $1.25 per balloon.

The total cost of creating 30 balloons will be,

\(22.5+7.5+15=\$\;45\)

Now, after selling 30 balloons, he will earn,

\(1.25\times 30=\$\;37.5\)

The earning is less than the cost of making the balloons.

So, Marcelino will bear the loss. The loss can be calculated as,

\(45-37.5=\$\;7.5\)

Therefore, Marcelino will bear a loss of $7.5 and the correct statement is "Marcelino will have a loss of $7.50: his costs are more than his profits".

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Answer:

I think C

Step-by-step explanation:

marcelio will have -$7.50; his costs r more then his profits  

Answer:

Tanong mo kay mama mo

Step-by-step explanation:

Kase mag aral ka ng mabuti wag puro brainly

Answer:

300 meters

Step-by-step explanation:

635-35

=600

600/2

300