an owl travels 8 1/3 miles an hour and a seagull travels 12 1/2 miles in 2/3 hour. which animal is faster?

The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

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Rounding to the nearest hundredth, the surface area of the sphere is approximately 331.81 square meters.

What is surface area ?

Surface area is the measure of the total area that the surface of an object occupies. It is a two-dimensional measurement, typically expressed in square units, such as square meters (m²) or square feet (ft²).

The surface area (A) of a sphere with diameter d is given by the formula:

A = 4π(d/2)²

where π (pi) is a mathematical constant approximately equal to 3.14.

Substituting the given value of the diameter d = 18.3m into the formula, we get:

A = 4π(18.3/2)²

A = 4π(9.15)²

A = 4π(83.7225)

A ≈ 331.81

Therefore, rounding to the nearest hundredth, the surface area of the sphere is approximately 331.81 square meters.

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Answer:

≈ 31.7 yd

Step-by-step explanation:

let the missing side be x , then using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 33²

x² + 81 = 1089 ( subtract 81 from both sides )

x² = 1008 ( take square root of both sides )

x = \(\sqrt{1008}\) ≈ 31.7 yd ( to the nearest tenth )

1. Statement: True

Inverse: True

Contrapositive: True

Converse: True

2. Statement: True

Inverse: True

Contrapositive: True

Converse: True

3. Statement: True

Inverse: True

Contrapositive: True

Converse: True

(i)

Statement: If the difference x - y is even, then x and y are also even.

Inverse: If x and y are not even, then the difference x - y is not even.

Contrapositive: If x and y are not even, then the difference x - y is not even.

Converse: If x and y are even, then the difference x - y is even.

Statement: If a divides b or a divides c, then a divides bc.

Inverse: If a does not divide b and a does not divide c, then a does not divide bc.

Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.

Converse: If a divides bc, then a divides b or a divides c.

Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.

Inverse: If x^2 < 100 or x < 0, then x < 10.

Contrapositive: If x^2 < 100 or x < 0, then x < 10.

Converse: If x ≥ 10, then x^2 ≥ 100.

(ii)

For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

A ≈ 40.3 cm²

Step-by-step explanation:

The area of right Δ ACD is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here A = 50.5, b = CD and h = AC , then

\(\frac{1}{2}\) × 14 × AC = 50.5

7 AC = 50.5 ( divide both sides by 7 )

AC ≈ 7.214

The area of Δ ABC is calculated as

A = \(\frac{1}{2}\) × BC × AC × sin36°

  = 0.5 × 19 × 7.214 × sin36°

  ≈ 40.3 cm² ( to 3 sf )

9514 1404 393

Answer:

  64.2 cm²

Step-by-step explanation:

The length AC is found from ...

  Area of ACD = (1/2)(AC)(CD)

  80.5 cm² = (1/2)(AC)(14 cm)

  AC = 80.5 cm²/(7 cm) ≈ 11.5 cm

__

The area of ∆ABC is ...

  Area ABC = (1/2)(CB)(CA)sin(C)

  = (1/2)(19 cm)(11.5 cm)sin(36°) ≈ 64.2 cm²

This rational function satisfies the conditions that r(2) is undefined, lim r(x) = 1 as x approaches infinity, and lim r(x) = 8 as x approaches 3.

We want to find a rational function r(x) that satisfies the given conditions as follows:

r(2) is undefined

lim r(x) = 1

lim r(x) = = 8.

x 3

First, let's focus on r(2) being undefined.

A rational function is undefined where its denominator is equal to zero.

So we need to make the denominator of r(x) (x - a), where a is a number, equal to zero at x = 2.

Let's set (x - 2) equal to zero and solve for x as follows: x - 2 = 0x = 2

We see that x = 2 satisfies the requirement that r(2) is undefined.

Now let's make sure that r(x) approaches 1 as x approaches infinity. To make the numerator approach 1 and the denominator approach infinity, we can make the degree of the numerator 0 and the degree of the denominator 1, such that the numerator is a constant and the denominator is a linear function of x.

For example, let's set the numerator to 1 and the denominator to x - 3.

Now let's check that lim r(x) = 1 as x approaches infinity.

We can do this by dividing the numerator and denominator of r(x) by the highest power of x in the denominator, which is x, as follows:

r(x) = 1 / (x / (x - 3)) = (1 / x) / ((x - 3) / x)

As x approaches infinity, the numerator approaches zero, and the denominator approaches 1.

Therefore, lim r(x) = 0/1 = 0 as x approaches infinity.

Next, we need to find a value of x for which lim r(x) = 8.

Let's set the denominator of r(x) equal to x - 3, since we want to approach 8 as x approaches 3.

To make the numerator approach 8, we need to multiply it by (x - 3) / (x - 3).

So let's set the numerator of r(x) equal to 8(x - 3).

Then: r(x) = 8(x - 3) / (x - 3) = 8as x approaches 3, the denominator approaches zero, and the numerator approaches 8. Therefore, lim r(x) = 8 as x approaches 3.

Finally, we can combine the three conditions we found to get:

r(x) = 8(x - 3) / ((x - 2)(x - 3))

This rational function satisfies the conditions that r(2) is undefined, lim r(x) = 1 as x approaches infinity, and lim r(x) = 8 as x approaches 3.

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The function r(x) = (x-3)/(x-2) meets all the specified conditions: it is undefined at x = 2, the limit of the function as x approaches any number other than 2 is 1, and the limit as x approaches 3 of (x-2)r(x) equals 8.

A suitable function that meets all the specified conditions would be r(x) = (x-3)/(x-2).

Let's analyze why this function meets the conditions:

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Answer:

so what u need to do uh is look at it one for time and it will tell u but its b

 Option (3) will be the correct construction of the angle bisector.

   Steps to construct an angle bisector are as followed,

Step - 1

Put the compass at the vertex of the angle.

Step - 2

Draw an arc cutting both the arcs at two distinct points.

Step - 3

Draw two arcs from these points intersecting at a point.

Step - 4

Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.

     Therefore, Option (3) will be the correct option.

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Answer:

Step-by-step explanation:

by inspection

angles 2 and 3 are equal, so they will be half angle ABC

angles 1 and 5 are equal  so they will be

      angle 1 + angle 5 + angleABC = 180°      kind of a rule for triangle

                                                                        the sum of all angles - 180°

      (angle 1) x 2 = 180° - 70°

       angle 1 = 90° - 35°

      angle 1 = 55°   which equals angle 5

angle 4 is clearly a right angle 90°

DO the same procedure for the bottom triangle

angle 8 and 9 are half of angle ADC

angle 8 and 9 are half of 46°

both are 23°

angle 6 equals angle 7

2 ×angle 6 = 180° - 46°

angle 6 = 90° - 23°

angle 6 = 67°    angle 7 = 67°

Did I find them all

The volume of the silo is approximately 9,685.73 cubic feet.

What is volume of a cylinder?

The volume of a cylinder can be calculated using the formula:

\(V = \pi r^2h\)  where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.

We are given that the diameter of the silo is 17 feet. The radius, which is half the diameter, is therefore:

r = 17/2 = 8.5 feet

We are also given that the height of the silo is 42 feet.

Using the formula for the volume of a cylinder, we can calculate the volume of the silo:

\(V = \pi r^2h\)

\(= \pi(8.5)^2(42)\)

≈ 9,685.73 cubic feet

Therefore, the volume of the silo is approximately 9,685.73 cubic feet.

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A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.

The volume of the cone is the product of one-third of the height, pie, and square of the radius.

The volume of the cone = 1/3 \(\pi r^{2} h\)

A cone with a base circumference of 6 pi and a height equal to half the radius.

The circumference of the circular base = 2πr

                                                        6π  =  2πr

                                                          r = 3

The radius of the circular base of a cone is 3 unit.

A height equal to half the radius. Thus, the height is 1.5

The volume of the cone = 1/3 \(\pi r^{2} h\)

                                         = 1/3 (3.14) (9)(1.5)

                                         =  42.39

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The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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Answer:

I would say B. As i look at ll of the other answers they seem to be right.

Step-by-step explanation:

The average speed of a pitched fastball, which was 93.4 miles per hour, is approximately 136.72 feet per second.

To convert the average speed of a pitched fastball from miles per hour to feet per second, we need to use the conversion factors:

1 mile = 5280 feet

1 hour = 3600 seconds

First, let's convert miles to feet. Multiply the given speed of 93.4 miles per hour by the conversion factor:

93.4 miles/hour * 5280 feet/mile = 492192 feet/hour

Next, we need to convert hours to seconds. Multiply the result by the conversion factor:

492192 feet/hour * 1 hour/3600 seconds = 136.72 feet/second

Therefore, the average speed of a pitched fastball, which was 93.4 miles per hour, is approximately 136.72 feet per second.

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By calculating the percentage of increase, the tuition cost this year is $24,720.516

It is important to know about the percentage first, the percent number is per 100. It can be determined by this formula

Price = A% x cost

where A% is the percentage

From the question above, we know that :

tuition cost = $23,454

percentage of increase = 5.4%

By substituting the parameter to the equation, we get

Price = A% x cost

Price = 5.4% x $23,454

Price = $1,266.516

Hence, the increase in tuition cost is $1266.516.

The tuition in this year is = $23,454 + $1,266.516

The tuition in this year is = $24,720.516

The tuition cost this year is $24,720.516 .

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In light of this, Cylinder radius = r = 3.3 metres, Cylinder height = h = 6 metres. We need to calculate the cylinder's estimated volume in cubic feet. So, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

We now know that the formula for cylinder volume is V = πr²h , where V is the volume, r is the radius, h is the height, and π is a constant equal to 3.14.

Now, we can substitute the given values in the formula and solve for the volume of the cylinder. V = πr²h = 3.14 × (3.3 meters)² × (6 meters) ...[Substitute r = 3.3 meters, h = 6 meters and π = 3.14 in the above formula]V = 204.828 m³ ...[Solve using calculator]Now, we need to convert cubic meters into cubic feet.

We know that, 1 meter = 3.28084 feetSo, 1 meter³ = (3.28084 feet)³ = 35.3147 cubic feet. Therefore, 1 m³ = 35.3147 ft³.

Now, we can use this conversion factor to convert the volume of cylinder from cubic meters to cubic feet.V = 204.828 m³ × (35.3147 ft³/m³) = 7237.775 ft³ (approx).

Therefore, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

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Answer:

f= 1.3s - 8.7

Step-by-step explanation:

Slope is M

M = 1.3 feet per second

y=mx+ b your b= 8.7ft

your equation is

f= 1.3s - 8.7

Since the test statistic (0.876) is less than the critical value (2.055), we fail to reject the null hypothesis.

In the given scenario, the null and alternative hypotheses can be stated as follows: Null Hypothesis (H0): The proportion of lab reports containing errors is less than or equal to 58%. Alternative Hypothesis (H1): The proportion of lab reports containing errors is greater than 58%. Symbolically: H0: p ≤ 0.58 ; H1: p > 0.58. Where p represents the true proportion of lab reports containing errors in the population. To determine whether there is sufficient evidence to substantiate the hospital director's claim, we need to conduct a hypothesis test. We will use the sample data to calculate the test statistic and compare it to the critical value at a significance level of 0.02. In this case, the sample size is 200 tubes, out of which 122 contained errors. The sample proportion of errors can be calculated as phat = 122/200 = 0.61.

Next, we calculate the test statistic, which follows the standard normal distribution under the null hypothesis. The test statistic formula is given by: z = (phat - p0) / √(p0(1-p0)/n), Where p0 is the hypothesized proportion under the null hypothesis, which is 0.58 in this case, and n is the sample size. Using the given values, the test statistic is calculated as: z = (0.61 - 0.58) / √(0.58(1-0.58)/200) ≈ 0.876. To determine whether there is sufficient evidence to substantiate the hospital director's claim, we compare the test statistic to the critical value corresponding to the significance level of 0.02. The critical value for a one-sided test at α = 0.02 is approximately 2.055. Since the test statistic (0.876) is less than the critical value (2.055), we fail to reject the null hypothesis. Therefore, there is insufficient evidence to substantiate the hospital director's claim that over 58% of the lab reports contain errors.

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9514 1404 393

Answer:

  tables A, B, E are proportional relationships

Step-by-step explanation:

Finding the rate of change involves finding the ratio of the difference of adjacent y-values to the difference of adjacent x-values. For this many tables and points, I find that to be exceptionally tedious, so I let a spreadsheet do the work.

For the four points, there are three ratios. In the attachment, each ratio is between the point on the same line and the point on the next line. Two conditions are required for the table to be proportional:

The green color identifies tables that are proportional.

Answer:

10 hours......is answer

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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The mode of this set of numbers is 1,the median of this set of numbers is 1.

Mean: To find the mean of this set of 5 numbers, we first add them together and divide by the number of measurements. 0 + 7 + 1 + 1 + 4 = 13. 13 divided by 5 (the number of measurements) is 2.6. Therefore, the mean of this set of numbers is 2.6.

Median: To find the median of this set of 5 numbers, we first need to arrange them in order from least to greatest. 0, 1, 1, 4, 7. The median is the middle number, so it is 1. Therefore, the median of this set of numbers is 1.

Mode: To find the mode of this set of 5 numbers, we need to look for the number that appears most often. In this set, the number 1 appears twice while the rest of the numbers appear only once. Therefore, the mode of this set of numbers is 1.

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Answer:

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

According to the diagram we have:

1) Angles w and 138° form a linear pair, hence:

2) Angles 19°, x and w form a right angle, hence:

Answer:

B is the correct answer.

Step-by-step explanation:

Add -2+e to both sides

v + f − e -2+e = 2 -2+e

Which will give you v + f -2 = e.

Answer:

C. 18 months

Step-by-step explanation:

Given data

Principal= P1500

rate= 12%

Simple interest= P270

We know that

Simple interest= PRT/100

substitute

270= 1500*12*T/100

cross multiply we have

270*100= 1500*12*T

27000= 18000 T

divide both sides by 18000

T= 27000/18000

T=1.5 years

That is 12 months + 6 months

in all = 18 months

The time is C. 18 months

Step-by-step explanation:

Hey there!

Given;

a1 = 6

and r = 3

Then;

Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.

\(nth \: term \: of \: geometric \: sries = {a}^{} . {r}^{n - 1} \)

Now, keep all values.

\(nth = 6 \times {3}^{n - 1} \)

So, it becomes like this.

Therefore, the rule is nth= 6*3^n-1.

Hope it helps!

In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.

To calculate the expected return of the portfolio, we use the following formula:

Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.

By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.

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Answer:

$17.07

Step-by-step explanation:

Step 1: Find the percent of the price

Convert 7% to fraction

\(= \frac{7}{100}\\\\=\frac{7}{100}\times \:15.95\)

Multiply

\(=\frac{7\times \:15.95}{100}\)

Multiply the factors

\(7\times \:15.95=111.65\\\\=\frac{111.65}{100}\)

Divide

\(\frac{111.65}{100}=1.1165\\\\=1.1165\)

Step 2: Add the percent off to the original price

\(15.95 + 1.1165\\\\= 17.0665\)

Therefore, the total cost including tax in the nearest cent is 17.07 dollars