David estimated that the band fundraiser would make $492.
The fundraiser actually made $600. What was the percent
error of David's estimate?

A one-sample t-test is conducted to determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s. The test results fail to reject the null hypothesis, indicating that recent winners do not appear to be significantly different from those in the 1920s and 1930s.

To determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s, a one-sample t-test can be conducted. Using the given sample, the sample mean BMI is calculated to be 18.5.

The null hypothesis is that the population mean BMI of recent winners is equal to 19.2. The alternative hypothesis is that the population mean BMI of recent winners is different from 19.2.

Assuming a significance level of 0.05 and using a two-tailed test, the calculated t-value is -2.08 and the corresponding p-value is 0.057.

Since the p-value is greater than the significance level, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that recent Miss America winners have significantly different BMI compared to winners from the 1920s and 1930s.

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Answer:

56 kilometers

Step-by-step explanation:

The answer is in the question it travels 56 km/h this means every one hour the car goes 56 km

Answer:

56km

Step-by-step explanation:

I got 56km because the car drives at a constant speed of 56 km/h. So, in one hour the car can travel 56km.

Therefore, the car can travel 56km in 1 hour.

Answer:

BD = 63

Step-by-step explanation:

\( \frac{2}{12} = \frac{9}{CD} \\ \\ CD= \frac{12 \times 9}{2} \\ \\ CD = 6 \times 9 \\ \\ CD = 54 \\ \\ \)

BD = BC + CD = 9 + 54

BD = 63

The average amount of trash collected is found to be 3 pounds.

Let the average amount of trash collected be 'x'.

As per the given conditions, equation form:

80*(1.5 + x ) = 360

Applying the Distributive Property:

120 + 80x = 360

Simplifying:

80x = 240

x = 240/80

x = 3

Thus, the average amount of trash collected is found to be 3 pounds.

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The complete question is attached.

Answer:

D.) (-2 1/2, -2)

Step-by-step explanation:

The solution is where the two lines intersect.  The two lines intersect at x = -2.5 and y = -2

Answer:

Choice B

Choice A = distributive property

Choice C & D = Associate Property

Step-by-step explanation:

See attachment.

Answer:

The answer is X

Step-by-step explanation:

Answer:

( - 6, 1.5 )

Step-by-step explanation:

( x1, y1 ) = ( - 2, - 1 )

Here,

x1 = - 2

y1 = - 1

( x2, y2 ) = ( - 10, 4 )

Here,

x2 = - 10

y2 = 4

Formula : -

Mid - point = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Mid - point = ( - 2 - 10 ) / 2, ( - 1 + 4 ) / 2

                  = - 12 / 2, 3 / 2

Mid - point = ( - 6, 1.5 )

Answer:No

It won't fit

Step-by-step explanation:

This is due to the fact that 7.54545454545454... is larger than 7.5

No. The picture frame will not fit into a box that measures 7.5 inches on each side.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Length of picture frame = 7 6/11 = 7.54 inches

Length of Box = 7.5 inches

So, From the above as we can see length of the box is smaller than the length of the picture frame.

Hence, it would not fit.

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If at least one card is a heart then P is three-fοurths.

The study οf prοbability examines the likelihοοds οf results οccurring and is based οn the ratiο οf likely and imprοbable scenariοs.

Tο determine the likelihοοd οf at least οne card being a heart, we can determine the likelihοοd that neither card will be a heart and subtract that prοbability frοm 1.

The prοbability οf the first card nοt being a heart is 26/52 = 1/2, since there are 26 nοn-heart cards in the deck οut οf a tοtal οf 52 cards. Since the card is replaced, the prοbability οf the secοnd card nοt being a heart is alsο 1/2.

Therefοre, the prοbability οf neither card being a heart is (1/2) x (1/2) = 1/4.

The prοbability οf at least οne card being a heart is 1 - (1/4) = 3/4.

Hence, the answer is: three-fοurths.

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The y-component of the vector is 19.0 m.

To find the y-component of the vector, we can use trigonometry.

The vector's length of 22.0 m represents the hypotenuse of a right triangle, where the y-component represents the opposite side, and the angle of 60.0 degrees represents one of the acute angles.

We can use the sine function, which relates the opposite side to the hypotenuse, to calculate the y-component.

The formula for the y-component is given by y = hypotenuse × sin(angle). Substituting the values, we have y = 22.0 m × sin(60.0 degrees). Evaluating this expression, we find y = 19.0 m.

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The solutions include

z = π/4 + π = 5π/4

z = π/4 + 2π = 9π/4

z = π/4 + 3π = 13π/4

These solutions cover all the possible complex solutions for the equation sin(z) = cos(z).

To solve the equation sin(z) = cos(z), we can use the trigonometric identity sin(z) = cos(z) when z = π/4 and z = 3π/4. However, we need to check if there are any other complex solutions as well.

Let's solve the equation algebraically to find all possible solutions:

sin(z) = cos(z)

Divide both sides by cos(z):

sin(z) / cos(z) = 1

Using the identity tan(z) = sin(z) / cos(z), we have:

tan(z) = 1

To find the solutions, we can take the inverse tangent (arctan) of both sides:

z = arctan(1)

The principal value of arctan(1) is π/4, which corresponds to one of the known solutions.

Now, let's consider the periodicity of the tangent function. The tangent function has a period of π, so we can add or subtract any multiple of π to the solution.

Therefore, the general solution is:

z = π/4 + nπ

where n is an integer representing any multiple of π.

So, in addition to z = π/4, the solutions include:

z = π/4 + π = 5π/4

z = π/4 + 2π = 9π/4

z = π/4 + 3π = 13π/4

...

These solutions cover all the possible complex solutions for the equation sin(z) = cos(z).

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ANSWER

π/2

EXPLANATION

We just have to replace x by π/2 in the equation and we'll see that it does not satisfy it:

The MAD value will be = 3.

Given,

Last four months sale : 8 , 10 , 15 , 9 .

Last four forecasts were 5, 6, 11, and 12 units.

Now, we have to find the Mean Absolute Deviation (MAD) of these forecasts.

Now, the mean of the forecast values for the four months is .

Therefore, the sum of absolute deviations of the forecast values from that mean will be = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.

Therefore, the MAD value will be = 12/4

MAD = 3

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Answer:

It costed $1200

Step-by-step explanation:

First Month Saved 1/3 of total cost

Second Month (1/3 of total cost) - 125

Third Month 525

525-125= 1/3 of total (If she saved the same amount the second month as the first month, then she's already saved 2/3 of the money)

400 = 1/3 of total cost

3X400=1200

Answer

the last one(4 and 1 over 2)

Step-by-step explanation:

i hope this is right tell me if its wrong

Answer:

The mean and median are approximately equal. (C)

You would think its B, but apparently, it's not. I took it and C is correct.

ED2021 :)

The mean and median are approximately equal. Option C is correct.

Given that,
The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners to be determined,

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
The required option is the mean and median are approximately equal, because, there is data available between 80 and 13 when calculations are done the value of the mean and median lies close to each other.

Thus, the mean and median are approximately equal. Option C is correct.

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Answer:

Step-by-step explanation:

Let the speed of the private jet is p and commercial jet is c.

Find c:

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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Answer:

y = 4x + 14

Step-by-step explanation:

y-intercept: 2 - (4)(-3) = 2 + 12 = 14

y = 4x + 14

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Pull out like factors : 16 + 2x  =   2 • (x + 8)

Solve::x+8 = 0

Subtract  8  from both sides of the equation::x = -8

There are no whole numbers n that satisfy this characteristic

The difference of n and 10 must be a negative number for it to be less than 1, and no whole number can be negative.

Whole numbers are those that can only be represented as integers and don't include any fractional or decimal elements. They also go by the names "counting numbers" or "natural numbers," and they consist of the digits 0 through 9, including 1, 2, 3, 4, 5, 6, 7,, 8, and so on.

A whole number that can be either positive, negative, or zero is known as an integer. A group of integers that are not a fraction or a decimal, such as..., -2, -1, 0, 1, 2,..., are referred to as an integer in mathematics. The natural numbers (1, 2, 3,...), their opposites (-1, -2, -3,...), and zero are all included in the set of integers. Mathematicians employ integers for many various purposes, such as counting, organising, and performing arithmetic operations.

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Answer:

I'd say D, if I'm wrong please let me know. but I'm 100% sure it's D

The complete square of the given numbers are-

Part a: 6(x + 1/4)^2 + 69/8

Part b: (x + 5/2)^2 + 27/2

Part c: -(x + 3)^2 + 18

For the given question

Part a: 6x^2+3x+9

Tale 6 commom;

6(x^2 + x/2 + 3/2)

Add and subtract 1/16 to the equation;

6(x^2 + x/2 + 1/16 - 1/16 + 3/2)

6((x^2 + x/2 + 1/16) - 1/16 + 3/2)

6((x + 1/4)^2 + 23/16)

6(x + 1/4)^2 + 69/8

Part b: x^2+5x+26

Add and subtract 25/4 to the equation;

x^2 + 5x + 25/4 - 25/4 + 26

(x^2 + 5x + 25/4) - 25/4 + 26

(x + 5/2)^2 + 27/2

Part c: -x^2+6x+9

Taking - 1 common.

-(x^2 - 6x - 9)

Add and subtract 9 in the equation;

-(x^2 - 6x + 9 ) - 9  - 9)

-((x^2 - 6x + 9 ) - 9  - 9)

-((x + 3)^2 -18)

-(x + 3)^2 + 18

Thus, the complete square of the umber are found.

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Answer: 123

Step-by-step explanation:

what you mean bae

52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

Answer:  A rectangular prism with a height of two inches, length of seven inches, and a width of three inches.

Step-by-step explanation:

Multiply the dimensions given, then select the one that matches Jorge's required 42 in³

5×5×5 = 125

5×4×4 = 80

2×7×3 = 42

6×3×2 = 36

Answer:

A

Step-by-step explanation: