Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?

Answer:

I am almost positive that the answer is 64 miles in one hour.

Step-by-step explanation:

In an hour the truck driver will cover the distance of 64 miles.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require direction to represent it.

Given that a truck driver drove 48 miles in 45 minutes. The distance covered by the truck in an hour will be calculated as below:-

45 minutes ⇒ 48 miles

1 minute ⇒ 48 / 45

60 minute ⇒ ( 48 x 60 ) / 45

1 hour ⇒ 64 miles

Therefore, in an hour the truck driver will cover the distance of 64 miles.

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25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer: 630

Step-by-step explanation:

\(3000 * 21 /100 = 3000 * 0.21 = 630\)

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

\((2x-1)(x+5)=2x^2+9x-5=0\).

The quadratic equation has a general form of

\(ax^2+bx+c=0\).

So your "b" is 9.

Hope this helps.

Answer:  Answer is in the steps

Step-by-step explanation:

(2x-1)(x+5) = 0    First expand the left side by apply the distributive property twice.

(2x -1)(x+5) =0  

x(2x -1) =  2x^2 -1x  

5(2x -1) =  10x -5  

Now rewrite them all together

2x^2 - 1x +10x -5  = 0   combine like terms on the left side.

\(2x^{2}\) + 9x -5 = 0      a is the first leading coefficient,b is the second leading coefficient, and  c is the constant.

So in this case, the value of b is 9.

Answer:

42+ 36w

Step-by-step explanation:

You multiple all numbers in the parenthesis with the number directly outside of it. 6x6=36(w) and 7x6=42. You cant simplify any further.

The value of x, in degrees, is given as follows:

A. 48.

Similar triangles are triangles that share these two features given as follows:

The similar triangles in this problem are listed as follows:

WUV and WUT.

In triangle UWV, the length of the side adjacent to the angle of 48º has a length of 13.5 cm.

In triangle WUT, the length of the side adjacent to the angle of x has a length of 13.5 cm.

Reminding the two features of similar triangles, namely congruent angle measures and proportional side lengths, the measure of angle x is given as follows:

x = 48º.

(as the equivalent side length is the same, hence the angle measure is also the same).

This means that option A is correct.

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Let \(x\) and \(y\) be the amounts of available alloy (AA) and pure magic steel that are used, so we also have

\(x + y = 2.7\)

DA13 is supposed to contain 7% gold, 3% silver, and 90% steel, so that 2.7 kg of it is made up of

\(0.07 \times 2.7 \,\mathrm{kg} = 0.189 \,\mathrm{kg} \text{ gold}\)

\(0.03 \times 2.7 \,\mathrm{kg} = 0.081 \,\mathrm{kg} \text{ silver}\)

\(0.90 \times 2.7 \,\mathrm{kg} = 2.43 \,\mathrm{kg} \text{ magic steel}\)

For each kg of the available alloy (AA), there is a contribution of 0.21 kg of gold, 0.09 kg of silver, and therefore 0.70 kg of steel; \(x\) kg of it will contain \(0.21x\) kg of gold, \(0.09x\) kg of silver, and \(0.70x\) kg of steel. Each kg of magic steel of course contributes 1 kg of steel; \(y\) kg of it will contribute \(y\) kg of steel.

Then the dwarves need

• total gold: \(0.21x = 0.189\)

• total silver: \(0.09x = 0.081\)

• total steel: \(0.70x + y = 2.43\)

Solve for \(x\) and \(y\). The first two equations are consistent and give \(x = 0.90\), and substituting this into the third we find \(y = 1.80\). So the dwarves must combine 0.90 kg of AA and 1.80 kg of magic steel.

Answer:

M=3

Step-by-step explanation:

Hope this helps:)

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Answer:

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sofiapenaloza

05/31/2023

Mathematics

College

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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.

2.66; The line of best fit overpredicts the temperature change.

2.66; The line of best fit underpredicts the temperature change.

1.94; The line of best fit underpredicts the temperature change.

−1.94; The line of best fit overpredicts the temperature change.

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joaobezerra

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

What are residuals?

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Step-by-step explanation:

Answer:

Figure 4 will need 12 toothpicks.

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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Answer:

x(y/2 + z)

Step-by-step explanation:

There are two triangles here.

The small triangle which is bound by dotted lines has base = y and height = x

The height of the larger triangle is 2x and its base is y + z

Area of larger triangle = 1/2 ·  2x · (y + z)
= x(y + z) = xy + xz

Area of smaller triangle = 1/2 · x · y = xy/2

Shaded region area = Area of larger triangle - area of smaller triangle

= xy + xz - xy/2

= xy/2 + xz

= x(y/2 + z)

Answer:

\(\huge\boxed{\bf\:2}\)

Step-by-step explanation:

\(\frac{4}{3 + \sqrt{7}}\)

Rationalise the denominator by multiplying the numerator & denominator of the fraction with \((3 - \sqrt{7})\).

\(\frac{4\left(3-\sqrt{7}\right)}{\left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right)}\)

Now, we  an see that the denominator is in the form of the algebraic identity: (x + y) (x - y) = x² - y². So,

\(\frac{4\left(3-\sqrt{7}\right)}{3^{2}-\left(\sqrt{7}\right)^{2}} \\= \frac{4\left(3-\sqrt{7}\right)}{9-7} \\= \frac{4\left(3-\sqrt{7}\right)}{2} \\\)

The new denominator is 2.

\(\rule{150pt}{2pt}\)

Answer:

Option D. 2

Step-by-step explanation:

Hello!

To rationalize the denominator, we should multiply the numerator and the denominator by the conjugate of the denominator. The conjugate simply means the same terms but with the opposite operation.

The new denominator is 2.

The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

It then crosses the -6 root to turn positive until it again crosses the -2 root.

(It crosses because the odd multiplicity of both roots)

The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.

In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).

Then it crosses the -6 root to become positive until it crosses again the root -2.

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Answer:

54

Step-by-step explanation:

54

Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

The number of gallons is 4.1

From the information given, we have that;

1 gallon of paint is equivalent to 150 square feet

Since we have 2 doors, the area of a rectangular prism is

Area = lw

Area =20(15)

Area = 300 (2) = 600 ft²

For the window, we have;

Area = 3(5) = 15

The total area of the wall is;

Total area = 615 ft²

Then, if;

1 gallon = 150 square feet

x = 615  square feet

cross multiply

x = 4. 1 gallons

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47.17 feet is the height of the building.

We can use the Pythagorean theorem to solve the problem:

Let h be the height of the building.

Then we have a right triangle with legs 20 and h, and a hypotenuse 50.

Using the Pythagorean theorem, we have:

\(50^2 = 20^2 + h^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(50^2 - 20^2)\)

h ≈ 47.17 feet (rounded to two decimal places)

Therefore, the height of the building is approximately 47.17 feet.

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

110

Step-by-step explanation:

5-5 cancel out

By the way, can you follow me on Brainly?

Thanks!

Answer:

uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator

1. The type of function which is best represented by the data in the table is; Quadratic.

2. The statement which is true is; The second differences are constant.

3. The type of function which is best represented by the given table is; Linear equation.

It is evident from the task content that the functions which correctly represents each data table is required to be determined.

Since linear functions are functions in which case, the first differences are constant while quadratic functions are functions in which the second differences are constant.

On this note, the first table correctly represents a quadratic function while the second represents a linear function.

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Data input

After 2 min

Roger 8 hot dogs

Novak 7 hot dos

Then,

Roger 3 hot dogs each minute

Novak 4 hot dogs each minute

Equation:

Roger < Novak

8+3m < 7+4m

The answer would be option B. 8 + 3m < 7 + 4m