10(8x+2y)+y−3(y−5x) ??

We conclude that based on the sample data collected by Lizzy, we cannot say with confidence that the proportion of Starbucks patrons who enjoy playing board games is greater than 50%.

To answer this question, we need to perform a hypothesis test using phantoms.

Null Hypothesis: The proportion of Starbucks patrons who enjoy playing board games is equal to 50% or less (p ≤ 0.50)

Alternative Hypothesis: The proportion of Starbucks patrons who enjoy playing board games is greater than 50% (p > 0.50)

We can use a one-sample proportion z-test to test this hypothesis. First, we need to calculate the sample proportion:

p-hat = 32/57 = 0.56

Next, we need to calculate the standard error of the sample proportion:

SE = sqrt(p-hat * (1 - p-hat) / n) = sqrt(0.56 * 0.44 / 57) = 0.094

Then, we can calculate the test statistic:

z = (p-hat - p) / SE = (0.56 - 0.50) / 0.094 = 0.64

Using a significance level of 0.05, we find the critical z-value to be 1.645 (for a one-tailed test).

Since our test statistic (0.64) is less than the critical value (1.645), we fail to reject the null hypothesis. There is not enough evidence to suggest that the majority of Starbucks patrons enjoy playing board games.

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We have to solve the following inequality:

Answer:

.7

Step-by-step explanation:

A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

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Answer:

Step-by-step explanation:

30.48 cm in one foot 30.48 divided by your hand which is 6.5 cm=4.6 so you need 5 palm widths.

Answer:

4%

Step-by-step explanation:

12/300

hope this helps

Answer:

- 8

Step-by-step explanation:

- 2 - 9 + 3

=> First rearrange the terms,

=> 3 - 2 - 9

=> 1 - 9

=> - 8

In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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Thus, the value displayed by Point K is roughly 373.

A number line in mathematics is a continuous straight line with numerals spaced equally apart along that line. Some stories will have a defined beginning and conclusion. We refer to these as closed number lines.

The distance between 367 and 377 can be split into five equal portions because the number line has 5 increments. Two components make up each section.

So, starting at 367, we must move 2 units to the right for each component until we reach Point K in order to determine the number represented by Point K.

We arrive at 369 by adding 2 units to the right of 367. From 369, we deduct another 2 units to arrive at 371. Following the same pattern, we arrive at 373, 375, and ultimately 377.

Point K is closest to 373 because it lies between 373 and 375. Thus, the value displayed by Point K is roughly 373.

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Answer:

26.25 questions

Step-by-step explanation:

75% of 35 is 26.25

Answer:

Z=1

Step-by-step explanation:

please mark me as brainlest

Answer:

z = 1

Step-by-step explanation:

Given :-

12 = 15(z - 1/5)

To Find :

z

Solving :-

12 = 15(z - 1/5)

12 = 15z - 3

15z = 15

Solution :-

z = 1

The output of the LTI system with frequency response function \(h(w) = 1/(jw^3)\), given an input\(x(t)\), is:

\(y(t)\)= inverse Fourier transform of \([1/(jw^3) X(w)]\)

To compute the output of an LTI system with frequency response function \(h(w) = 1/(jw^3)\), given an input x(t), we can use the Fourier transform:

\(H(w)\) = Fourier transform of \(h(t)\)

\(X(w)\) = Fourier transform of \(x(t)\)

\(Y(w) = H(w) X(w)\)

\(Y(w)\) is the Fourier transform of the output \(y(t)\).

Using the given frequency response function, we have:

\(H(w) = 1/(jw^3)\)

Taking the Fourier transform of the input \(x(t)\), we have:

\(X(w)\) = Fourier transform of \(x(t)\)

And multiplying \(H(w)\) and\(X(w)\), we get:

\(Y(w) = H(w) X(w) = 1/(jw^3) X(w)\)

Taking the inverse Fourier transform of \(Y(w)\), we get the output \(y(t)\):

\(y(t)\) = inverse Fourier transform of \(Y(w)\)

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The range of the given function is {y|y>9}. Therefore, option B is the correct answer.

The given function is f(x)=3x+9.

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Substitute x=0, 1, 2, 3, 4,....in y=3x+9, We get

When x=0

y=9

When x=1

y=12

When x=2

y=15

When x=3

y=18

So, the range is {9, 12, 15, 18,.....}

Therefore, option B is the correct answer.

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The approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6

To find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches, we will first calculate the surface area (SA) and volume (V) of the ball, and then divide the surface area by the volume.

Step 1: Calculate the surface area (SA) using the formula for the surface area of a sphere:

\(SA = 4 πr^2\)
\(SA = 4 π5^2\)
\(SA = 4 π(25)\)
\(SA=100π\)

Step 2: Calculate the volume (V) using the formula for the volume of a sphere:

\(V = \frac{4}{3} π (r)^{3}\)
\(V = \frac{4}{3} π (5)^{3}\)
\(V = \frac{4}{3} π (125)\)
V = 166.67 π cubic inches

Step 3: Calculate the surface-area-to-volume ratio (SA/V)
\(\frac{SA}{V} = \frac{100}{166.67}\)
\(\frac{SA}{V}=\frac{100}{166.67}\)

\(\frac{SA}{V}= 0.6\)

So the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6. The best answer from the choices provided is A.

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Answer:

A) 49.5

Step-by-step explanation:

11*9=99

99/2= 49.5

Answer:

=7

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hundredths

The slope of the line is B.

In mathematics, the slope of a line is the change in y-coordinate with respect to the change in x-coordinate.

The net change in the y coordinate is denoted by Δy and the net change in the x coordinate is denoted by Δx.

So the change in the y coordinate for a change in the x coordinate is:

The slope of a straight line can also be expressed as:

In general, the slope of a line is a measure of its steepness and direction. The slope of the line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points.

If the x-coordinate of each point on a line is 5 more than half the y-coordinate, then x= y2+5.

To find the slope of the line, solve for y and put the equation in slope-intercept form (y = mx + b, where m is the slope).

To do so, first subtract 5 from both sides, then multiply the entire equation by 2 to get y = 2x − 10.

The slope is 2.

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Answer:

7 x 10^-7

Step-by-step explanation:

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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The value of x in both case is 17 and 10.

If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

1. As the given angle is 90 degree i.e., complementary angle.

So,

 22+4x=90

  4x= 90-22

  4x= 68

    x= 17

2. As the figure for the linear pair i.e., supplementary angle

So,

110+7x=180

7x=70

x=10

Hence the value of x in both case is 17 and 10.

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The least three numbers that when added together give a number multiple of 7 are:

2, 3 and 7

Prime numbers are numbers that have only two divisors, but these two divisors are always the same number and the number 1.

If we want to know a number that comes from the sum of three prime numbers and that in turn is divisible by 7, then let's identify the prime numbers from 0 to 20:

2, 3, 5, 7, 11, 13, 17, 19

Let's start with the lowest ones:

The three numbers are: 2, 3 and 7.

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The battle that did not have a clear winner was the 1st Bull Run. The 1st Bull Run was an important early battle in the Civil War, and its lack of a clear winner demonstrated the complexities and uncertainties of the conflict.

The 1st Bull Run, also known as the 1st Battle of Manassas, was fought on July 21, 1861, near Manassas, Virginia. It was the first major battle of the American Civil War. The Union army, led by General Irvin McDowell, attempted to attack the Confederate army, led by General P.G.T. Beauregard. The battle was marked by several Confederate victories, including the use of Stonewall Jackson's "Stonewall Brigade," which held the Union army in check for several hours. However, the battle ended in confusion, with both sides claiming victory. The Union army retreated to Washington D.C., while the Confederate army did not pursue them.

Long answer: The 1st Bull Run was a significant battle because it showed that the Civil War would not be a quick and easy conflict. Both the Union and Confederate armies were relatively inexperienced and unprepared, and the battle revealed weaknesses and strengths on both sides. The battle also demonstrated the importance of military strategy and leadership, as General Jackson's defensive tactics proved critical in turning the tide of the battle. The confusion surrounding the outcome of the battle also showed the need for better communication and coordination among military leaders.

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Answer:

11/8 or 1 3/8

Step-by-step explanation:

first you have to change the denominator to 8 in the 3/4, so that means you have to change the numerator too.

that gets you 6/8, so the new equation is

6/8+5/8

you only have to add the numerators, so it gives you 11/8.

to change it to a mixed number, all you have to do is find how many whole numbers (aka 8/8 in this situation) go into your improper fraction, and there is 1 in ours. you set that aside and you get 3/8 left over. You put those together and get 1 3/8

hope this helps! have a nice day!

a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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The value of function f (x) is,

⇒ F (x) = 4x⁴ + 7x² + 7x - 22

We have to given that;

Function is,

⇒ F' (x) = 16x³ + 14x + 7

Now, We get;

Integrate both side;

F (x) = 16 x⁴ / 4 + 14x²/2 + 7x

F(x) = 4x⁴ + 7x² + 7x + c

Since, F (1) = - 5

Hence,

F (x) = 4 (1)⁴ + 7 (1)² + 7 (1) + c

- 5 = 4 + 7 + 7 + c

c = - 22

Thus, The function f (x) is,

⇒ F (x) = 4x⁴ + 7x² + 7x - 22

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The apples will fill the bin to a height of approximately 1.973 meters. To determine the height to which the apples will fill the rectangular bin, we need to calculate the volume of the bin and then divide it by the number of baskets poured into it.

The base of the bin has dimensions 3.000 meters by 4.000 meters, giving us a base area of 3.000 * 4.000 = 12.000 square meters.

We are told that each basket is exactly one bushel, and given that 1 bushel is equivalent to 35.24 liters. To convert liters to cubic meters, we divide by 1000. Therefore, each basket is equivalent to 35.24 / 1000 = 0.03524 cubic meters.

Since the apples uniformly fill the bin, we can calculate the height of the apples by dividing the total volume of the bin by the number of baskets poured into it. The total volume is the base area multiplied by the height.

Let h represent the height of the apples. We have the equation:

12.000 * h = 675 * 0.03524

Solving for h:

h = (675 * 0.03524) / 12.000

h ≈ 1.973 meters

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