Survey on Answering Machine Ownership In a survey, 69% of Americans said they own an answering machine. If 17 Americans are selected at random, find the probability that exactly 14 own an answering machine. Round your answer to three decimal places. find P(14).

7/20 barrels of corn are the buffalo fed each day.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

Here are some actions to take:

Given:

Elephants at the Norfolk zoo are fed = 1/2

Buffalo are fed 7/10 as much corn as the elephants = 7/10 * Elephants fed

= 7/10 * 1/2

= 7/20

Hence, 7/20 barrels of corn are the buffalo fed each day.

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Answer:

 -  0.1499375256

Step-by-step explanation:

have a good day /night

The graph of y = -5x + 10 is a function because (d) yes, because it passes the vertical line test.

From the question, we have the following parameters that can be used in our computation:

y = -5x + 10

The above equation is a linear function

As a general rule of functions and relations

All linear functions are functions

This is because they pass the vertical line test

So, the true statement is (d)

Hence, the relation y = -5x + 10 is a function because (d) yes, because it passes the vertical line test.

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Complete question

Does this graph show a function? Explain how you know.

y = -5x + 10

A. No; there are y-values that have more than one x-value.

B. Yes; there are no y-values that have more than one x-value.

C. No; the graph fails the vertical line test.

D. Yes; the graph passes the vertical line test.

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

A point, line, other geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

rotation of 90° clockwise: When a figure is rotated 90 degrees anticlockwise, each point must be converted from (x, y) to (y, -x) before the rotated figure may be graphed.

Before Rotation - (x, y)

After Rotation - (y, -x)

Translation of points is 5 units to the right.

Thus, Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

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Answer:

Step-by-step explanation:

we do first the multiplication 3*6=18

-2+18=16

16/5 is your answer or 3.2

Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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The solution involves sorting the points by their x-coordinate, and then checking for collinearity by comparing the slopes of all pairs of points.

To determine in O(n² log n) time whether any three points in a set of n points are collinear, we first sort the points by their x-coordinate. This can be done in O(n log n) time using a standard sorting algorithm such as QuickSort.

Then, for each pair of points, we calculate the slope between the points and store it in a hash table. If two points have the same slope, then we know that the three points are collinear.

By checking all pairs of points, we can determine in O(n²) time whether any three points are collinear. The overall time complexity of the solution is O(n² log n), since sorting the points takes O(n log n) time, and checking for collinearity takes O(n²) time.

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The approximate value of the fifteenth term is 244.141 or it can also be written as 244 1/8.

The seventh term of a geometric sequence is 5 and the tenth term is 16.875. The given information shows that a=5 and a10=16.875.

We have to find a15. Since the sequence is geometric, therefore the common ratio (r) can be determined from this information as below; a10 = ar9 16.875 = 5r9 r = (16.875)/5r9 r = 1.25On substituting the values of a, r and n in the nth term formula of a geometric sequence,

we can determine the value of a15 as below; an = arn-1 a15 = 5 × (1.25)14 a15 = 244.140625So, the fifteenth term of the sequence is 244.140625 (approximately).

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Answer:

x = 154/13

Step-by-step explanation:

You are given the measures of all three angles in a triangle

so according to the Triangle Sum Theorem:

∠MNO + ∠OMN + ∠NOP = 180

1. Substitute the measures of the angles into the equation:

(3x + 11) + (2x + 20) + (8x - 5) = 180

2. Combine like terms:

(3x + 2x + 8x) + (11 + 20 -5) = 180

13x + 26 = 180

3. Isolate x by subtratcing 26 from both sides

13x + 26 -26 = 180 -26

13x  = 154

4. Solve for x by dividing both sides by 13

13x/13 = 154/13

x = 154/13

The quadrilateral is a kite. The diagonals of a kite are congruent but do not bisect each other.

A kite is a quadrilateral that has two pairs of adjacent sides that are congruent. The diagonals of a kite are always perpendicular to each other, but they do not bisect each other. This means that the diagonals intersect at a point, but that point is not the midpoint of either diagonal. The diagonals of a kite divide the quadrilateral into four triangles, with two pairs of congruent triangles sharing a common diagonal.

The fact that the diagonals of a quadrilateral are congruent but do not bisect each other is a unique property of kites. Other types of quadrilaterals, such as squares or rectangles, have diagonals that are congruent and bisect each other. Kites are often characterized by their distinctive shape, with two pairs of adjacent sides of different lengths, and their non-bisecting diagonals contribute to this defining feature.

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Find two different polynomial functions that have a zero at 2 of multiplicity 5 and a zero at ­4 of multiplicity 3

If you are talking about a -4, here you go (If not tell me):

P(x) = (x-2)^5 (x+4)^3

g(x) = (3x-6)^5 (x+4)^3

Hope this helps!

Answer:

\(\boxed {\boxed {\sf \ \frac {17}{77}}}}\)

Step-by-step explanation:

The experimental probability is the probability of an event occurring in an experiment that was conducted. It is the ratio of the times an event occurred to the total trials.  

\(P(event)= \frac{ number \ of times \ event \ occurs} {total \ number \ of \ trials}\)

We are trying to find the experimental probability of landing on green.

\(P(green)= \frac{17}{77}\)

This fraction cannot be simplified any further, so the experimental probability of landing on the color green is 17/77

Answer:

y = 15

Step-by-step explanation:

The triangles CAB and CED are similar (Using the case AA), so we can write the following relations:

\(\frac{12}{28} =\frac{15}{x}=\frac{y}{35}\)

Using the first two fractions, we can find the value of x:

\(\frac{12}{28} =\frac{15}{x}\)

\(12x = 28*15\)

\(12x = 504\)

\(x = 504/12 = 42\)

Using the first and last fractions, we can find the value of y:

\(\frac{12}{28} =\frac{y}{35}\)

\(28y = 12*35\)

\(28y = 420\)

\(y = 420/28 = 15\)

Answer:

y=1/4x+4

Step-by-step explanation:

because the slope is 1/4

so k=1/4

y=1/4x+b

put the point into the equation

so

6=1/4*8+b

so

b=4

Answer:

200

Step-by-step explanation:

Put 5 times 10^4 in your calculator and you get 50,000. Then put 2.5 times 10^2 in your calculator and you get 250. Lastly divide 50,000 and 250 and you get 200.

Answer:

2 × 10²

Step-by-step explanation:

Given

\(\frac{(5)10^4}{(2.5)10^2}\)

= \(\frac{5}{2.5}\) × \(\frac{10^4}{10^2}\)

= 2 × \(10^{(4-2)}\)

= 2 × 10² [ = 200 ]

a) The points\((x, y) = (-1, 2)\) are the equilibrium solutions

b) The solutions are decreasing since \((y-2)\) is negative and \((x+1)\) is positive.

c) The solution curves concave up if y'' is positive, and concave down if y'' is negative.

a)  Either \(y = 2 or x = -1\)is required for this equation to be true. Therefore, the points\((x, y) = (-1, 2)\) are the equilibrium solutions.

We must set \(y = 0\) and solve for y in order to find the equilibrium solutions. So:

\((y-2)(x+1) = 0\)

b) We need to look at the sign of y' in various areas of the xy-plane to figure out where the solutions are rising or decreasing. The solutions are growing if y' is positive; they are shrinking if y' is negative.

Since \((y-2)\) and \((x+1)\)are both negative, y' is positive and the solutions are increasing if\(x -1\)and \(y 2.\) When \(x > -1\)and \(y 2, (y-2)\) becomes negative and (x+1) becomes positive, indicating that y' is negative and the solutions are getting smaller. If \(y > 2\), then y' is positive and the solutions are getting bigger because \((y-2)\) and \((x+1)\) are both positive. for x is greater than \(-1\) and y is greater than \(2\), the solutions are decreasing since \((y-2)\) is negative and \((x+1)\) is positive. This is the case for \(y 2.\)

The expression for y' shows that when \((y-2)\) and \((x+1)\)have the same sign, and when they have the opposite sign, respectively, it will be positive.

c) We need to look at the sign of y'' in various areas of the xy-plane to figure out where the solution curves are concave up-concave down. By taking the derivative of y', we may find y'':

\(y'' = (y-2) - 2(x+1)\)

The solution curves concave up if y'' is positive, and concave down if y'' is negative.

We may deduce that y'' is positive when\(y > 2 + 2(x+1)\) and negative when \(y 2 + 2(x+1)\) from the expression for y''. As a result, when the solution curves are above the line\(y = 2 + 2(x+1)\), they are concave up, and when they are below it, they are concave down.

a) \(y > 2 + 2(x+1)\)

b) \(y 2 + 2(x+1)\)

c)\(y = 2 + 2(x+1)\)

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Complete Question:

Let y' =(y-2)(x+1). a) Determine all equilibrium solutions. b) Determine the region in the xy - plane where the solutions are increasing, and where the solutions are decreasing. c) Determine the regions in the xy - plane where the solution curves are concave up, and determine those regions where they are concave down. Solve the following differential equations.

a) dy + 2xy2 = 0 doc ? =

b) x - y = 2x?y, y(i)=1 y *1) b dy dx

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Answer:

No

Step-by-step explanation:

Answer:

Why... Um... ok

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

115 ÷ 17 = 6.7647

you can also round it up to 6.8

Based on the number of shares that Ralph Warren purchased, the total cost of the stock was $469.63. The amount he received from sales was $447.13. The capital loss was $22.50.

The cost of the stock was:

= (27 x 16³/₈) + 27.50

= $469.63

The amount received from sales:

= (27 x 17⁵/₈) - 28.75

= $447.13

This capital gain (loss):

= 447.13 - 469.63

= -$22.50

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Constructing a 90% confidence interval to estimate the actual proportion of social media users.

In order to calculate the 90% confidence interval for estimating the actual proportion of social media users, the formula is given by;\[\large \text{ Confidence Interval }=\text{ Sample proportion } \pm \text{ Z-score }\left( \frac{\text{ Standard error }}{\sqrt{\text{ Sample size }}} \right)\] Where Z-score = 1.645 (for a 90% confidence level)

Sample size = 226

Sample proportion = 203/226 = 0.898

Standard error = sqrt[(0.898 * (1-0.898))/226] = 0.026

The 90% confidence interval to estimate the actual proportion has a lower limit of 0.864 and an upper limit of 0.932.

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Answer:

what table?

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

The Frequency column has to total 50 ( number of rolls on dice )

Thus total the given frequencies and equate to 50, that is

12 + 8 + 7 + 3 + 9 + x = 50

39 + x = 50 ( subtract 39 from both sides )

x = 11

Answer:

x=11

Step-by-step explanation:

12+8+7+3+9=39

50-39= 11

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

The best description of the data on the line plot is: "D. The data is symmetric, with a range of 4. This might happen because the most popular price of a book at this store is $4."

A symmetric data on a line plot means that the data is evenly distributed around the center. In other words, the data points on one side of the center are mirror images of the data points on the other side of the center.

For example, the set of data values displayed on the line plot shows that the data points on one side of the line (the center) are balanced by the data points on the other side of the line. This indicates that the data is evenly distributed and has no significant skewness or bias towards one side.

The range of the data = 6 - 2 = $4.

The mode is also $4

Therefore, the correct option is: option D.

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Answer:

It converges

Step-by-step explanation:

dx/dy = x∧4 + 9x∧21

f(x) = ∫(x∧4 + 9x∧21)dy        0  > f(x) > ∞

= x∧5/5 + 9x∧22/22 + c  

    x = ∞ and x = 0

∴ c = 1 /5 +  9/22 = 27/22

The amount and interest after 2 years will be $3788.58 and $88.58, respectively.

Given that:

Investment, P = $3,700

Rate, r = 1.19

Time, n = 2 years

The amount is calculated as,

A = P(1 + r)ⁿ

A = $3700 (1 + 0.0119)²

A = $3700 x 1.0239

A = $3788.58

The amount of interest is calculated as,

I = A - P

I = $3788.58 - $3700

I = $88.58

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An angle formed by a tangent and a chord in a circle is called an "angle between tangent and chord" while an inscribed angle is an angle whose vertex is on the circle and whose sides intersect the circle at two distinct points.

When a tangent line and a chord intersect at a point on the circle, the tangent line is perpendicular to the radius drawn to the point of intersection.

This means that the angle between the tangent and the chord is equal to the angle between the radius and the chord.

Now, consider an inscribed angle that intercepts the same arc as the chord.

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the arc that it intercepts.

Thus, the measure of the inscribed angle is equal to the measure of the arc that the chord intercepts.

Since the angle between the tangent and the chord is equal to the angle between the radius and the chord, and the inscribed angle intercepts the same arc as the chord, it follows that the angle between the tangent and the chord is equal to the inscribed angle that intercepts the same arc.

Therefore, an angle formed by a tangent and a chord has the same measure as an inscribed angle that intercepts the same arc.

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