in a certain town, the left-handed:right-handed ratio among children is 1:2. suppose a family has three children. define events: a: the family has children of both handedness b: the family has at most one right-handed child

Answer:

1/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that he pulls out a red marble = number of red marbles / total number of marbles

= 4/20 = 1/5

Answer:

Your answer is x = 24 , y =8√3

Step-by-step explanation:

Sorry for late answer actually I was preparing for my exams. ❤

The required value of the variable is given as x = 24 and y = 8√3. Option C is correct.

Given that,
To determine the value of the variable x and y using trigonometric operators.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.



Here,
sin30 = y / 16√3
16√3 / 2 = y
y = 8√3
Now,
cos30 = x / 16√3
√3 / 2 × 16√3 = x
x = 24

Thus, the required value of the variable is given as x = 24 and y = 8√3. Option C is correct.

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The equation of a curve which intersects at right angles every curve of the family y = 1 / x + k is: y = x^3 / 3. The correct option is D.

The given equation:

y = 1/x + k.

And since y’ = –1 / x^2

So, the desired curve satisfies:

y’ = x^2

From the given equation we get:

dy / dx = –1 / x^2

any suitable function would have the negative reciprocal slope, so:

df / dx = x^2 / 1 = x^2

So, f(x) = x^3 / 3

Hence, the equation that intersects at right angles of  y = 1 / x + k is y = x^3 / 3.

Generally, an intersection curve consists of the common points of two transversally intersecting surfaces, which means that at any common point the surface normal are not parallel. This restriction excludes cases in which the surfaces are touching or have surface parts in common.

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Step-by-step explanation:

yeap I also think so that the answer is 0

Step-by-step explanation:

The coordinates of Point S(1,2)

The coordinates of point T(7,5)

length of ST=√(7-1)²+(5-2)²

|ST|=√36+9

|ST|=√45=3√5

Answer:

a) S(1,2) T(7,5)

b)3√5 = 6.7 ( approximately)

Step-by-step explanation:

Look at the picture below.

Hope you find this helpful

Based on mathematical operations, the number of people that 10 gallons of punch can serve is 192 persons.

The number of people can be determined using mathematical operations of multiplication based on converting the gallons to ounces and division.

The number of gallons of punch to serve at the first meeting = 10 gallons

The quantity of punch per serving = 8 ounces

1 gallon = 153.722 ounces

10 gallons = 1537.22 ounces

The persons that can be served 8 ounces from the 10 gallons = 192 (1,537.22/8).

Thus, mathematically, from the 10 gallons of punch, the PTA can serve 192 persons.

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Answer:

the water that was left in the bottle is 1/24

In the Hannas water bottle, the water that was left in the bottle is 1/24.

We have given that the

Hannas water bottle = 7/8 gallon

drank = 5/6 gallon

\(Left water=\frac{7}{8}-\frac{5}{6}\)

Therefore we have to solve the above equation to find the left of the water.

\(Left water=\frac{7}{8}-\frac{5}{6} \\\\=\frac{21-20}{24} \\\\=\frac{1}{24}\)

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The statement which is given as , "The product of permutation matrices is again a permutation matrix." is True.

A permutation matrix is a square matrix whose entries are either 0 or 1 and has exactly one "1" in each row and each column. In other words, it is a matrix that represents a permutation of the rows (or columns) of the identity matrix.

When two permutation matrices are multiplied, the result is another square matrix with exactly one "1" in each row and each column. To see why this is true, consider two permutation matrices, A and B. Suppose that A is a m x m matrix and B is a m x m matrix. The product of these two matrices is another m x m matrix, C = AB.

Each entry in the matrix C is given by the dot product of the corresponding row in A and the corresponding column in B. If the row in A has a "1" in the i-th position and the column in B has a "1" in the j-th position, then the i,j-th entry in C will be "1".

Since both A and B are permutation matrices, each row in A and each column in B has exactly one "1". This means that each row in C will have exactly one "1", and each column in C will also have exactly one "1". Hence, C is also a permutation matrix.

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The solution is, it will take her 79.76 minutes to rise to the surface.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Total distance to the surface = 40 yards

speed of rising = 1 foot per seconds

1 foot = 1 second

since the total distance is in yards, let's convert from foot to yards:

1 yard = 3 feet

1 foot = 1/3 yards = 0.333 yards

0.33 yards = 1 second

Next, let's convert from seconds to minutes

60 seconds = 1 minute

∴ 1 second = 1/60 minute

1 second = 0.0167 minute

Therefore the speed at which she rose:

speed

0.333 yards = 0.0167 minutes

Now for a distance of 40 yards:

1 yard = 0.0167/0.333 mints

so, 40yards = 79.76 mints.

Hence,  it will take her 79.76 minutes to rise to the surface.

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The lower and upper bounds of h - k are 42.31 and 42.49 respectively.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.

The upper and lower bounds can be written using error intervals

The lowest value of h is 47.15

The greatest value of h is 47.24

The greatest value of k is 4.84

The lowest value of k is 4.75

Thus upper bound of h -k = 47.24 - 4.75 = 42.49

Thus lower bound of h -k = 47.15 - 4.84 = 42.31

Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively.

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The probability of drawing a diamond card from a well-shuffled pack of 52 cards is 13/52, as there are 13 diamond cards in the deck.

In a well-shuffled pack of 52 cards, there are 13 diamond cards out of 52. Since each draw is done with replacement, the probability of drawing a diamond card remains the same for each draw, which is 13/52.

(a) Probability of drawing 0 diamond cards:

The probability of not drawing a diamond card in one draw is given by (13/52) since there are 13 diamond cards out of 52. Since there are five draws with replacement, the probability of not drawing a diamond card in any of the five draws is obtained by multiplying the probabilities of not drawing a diamond in each individual draw. Therefore, the probability of drawing 0 diamond cards is (13/52) * (13/52) * (13/52) * (13/52) * (13/52), which simplifies to (13/52)^5. To obtain the probability of drawing 0 diamond cards, we subtract this value from 1 since we want to consider the complementary event. Thus, the probability of drawing 0 diamond cards is (1 - (13/52)^5).

(b) Probability of drawing 1, 2, 3, 4, or 5 diamond cards:

The probability of drawing exactly k diamond cards out of five draws can be calculated using the binomial probability formula: P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where n is the number of trials (5 in this case), k is the number of successful outcomes (1, 2, 3, 4, or 5), and p is the probability of success in one trial (13/52). By plugging in the appropriate values, we can calculate the probability for each case.

For example, the probability of drawing exactly 1 diamond card is given by P(X = 1) = C(5, 1) * (13/52)^1 * (1 - 13/52)^(5 - 1), where C(5, 1) represents the number of ways to choose 1 diamond card out of 5 draws, which is calculated using combinations. Similarly, we can calculate the probabilities for drawing 2, 3, 4, or 5 diamond cards by substituting the appropriate values in the formula.

Therefore, by considering both (a) and (b), we can determine the probabilities of drawing 0, 1, 2, 3, 4, or 5 diamond cards out of five cards drawn successively with replacement from a well-shuffled pack of 52 cards.

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Answer:

-147 because -21x7 equals -147

Step-by-step explanation:

Answer:

3 oranges

Step-by-step explanation:

price of 1 orange: $1.60÷5= $0.32

Amount of oranges bought=amount of money spent÷price of 1 orange= $0.96÷ $0.32=3oranges

Answer:

\(\left[\begin{array}{ccc}x&y\\-1&3\\0&4\\2&10\\10&2\end{array}\right]\)

Step-by-step explanation:

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

When expressed as percentage, 660 parts per million will equal to 0.0066%.

Part per million (ppm) should be multiplied by 0.001 of it could be divided by 10000 to convert it into percentage. In order to convert 660 ppm to a percentage, divide it by 10,000, which yields 0.066.

This needs to be multiplied by 100 to achieve the final result of 0.066%, which is how we may describe it as a percentage. Because the answer is less than 1%, you'll see that we added a leading zero.

As a result, the answer is 0.066%.

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Answer:

See below.

Step-by-step explanation:

X-intercepts: (-7, 0) & (-3, 0)

Axis of Symmetry: x = -5

Y-intercept: (0, -21)

Vertex: (-5, 4)

Answer:

the answer to ur equation would be n=4

Answer:

n = 4

Step-by-step explanation:

3n + 16 = 7n

grouping like terms:

16 = 7n - 3n

16 = 4n

4 = n

hence n = 4

Answer:

The area base of the cylinder is 32 pi square meters which is correct option(A).

Step-by-step explanation:

The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = A × h, where

A = area of the base

h = height

The base of a  circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h

where , 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

π is a constant whose value is either 22/7 (or) 3.142.

Given data,

The volume of cylinder = 288π cubic meters

V = πr²h

Substitute the value of V in the formula

288π = π(r²)(9)

Divided by π both the sides,

288 = 9 r²

288/9 = r²

32 = r²

r² = 32

r ≈ 5.65 meters

The area base (circle) of the cylinder = πr²

Substitute the value of r in the formula,

The area base  of the cylinder = π(5.65)²

The area base  of the cylinder = π(32)

The area base of the cylinder = 32π

Hence, the area base of the cylinder is 32π square meters.

hope this helps gangy

Answer:

32π square meters

Step-by-step explanation:

Use the volume of cylinder formula: V = πr²h:

288π = πr² x 9

Make r² the subject of the formula:

r² = 288π divided by 9π = 32

Now we know r² = 32, we use the circle area formula as the base of the cylinder is a circle:

πr² = formula to find area of circle

π x 32 (which is r²) = 32π m² (square meters)

Hope this answers your question!

Perimeter of rectangle = 2(l+w)

So, 54cm = 2(l+9cm)

=> 54cm = 2l + 18cm

=> 54cm - 18cm = 2l

=> 36cm = 2l

=> 36cm/2 = l

=> 18cm = l

Introduction:The data involves auditing bills paid by Medicare and Medicaid. The audit is done on a random sample of paid claims. The auditor judges each claim to be either fully justified or an overpayment.

Then, a simple random sample of 30 claims is selected from each group. Fourteen of the small claims and eight of the medium claims were determined to be over-payments. We will use these data to answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?"Explanation:To answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?", we need to perform a hypothesis test.

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Given:

The length of a rectangle is 5 centimeters less than 2 times the width.

To find:

The polynomial expression that represents the area of the rectangle, then simplify the expression.

Solution:

Let \(x\) be the width of the rectangle.

The length of a rectangle is 5 centimeters less than 2 times the width.

2 times the width = \(2x\)

5 centimeters less than 2 times the width = \(2x-5\)

Length of the rectangle = \(2x-5\)

We know that, the area of a rectangle is:

\(A=length \times width\)

\(A=(2x-5)\times x\)

\(A=2x^2-5x\)

Therefore, the required polynomial expression is \(A=(2x-5)\times x\) and its simplified form is \(A=2x^2-5x\).

The y-intercept of the graph of the function g(n) represents the height of the flower.

We are given:

A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.

g(n) = 10(1.02)^n

which is an exponential function.

We need to find what the y-intercept of the graph of the function g(n) represents.

We have the exponential function;

g(n) = 10(1.02)^n

where,

x-coordinate of the graph represents the number of days.

y-coordinate of the graph represents the height of the flower.

Thus, the y-intercept of the graph of the function g(n) represents the height of the flower.

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Answer:

The constant of proportionality is the ratio between numbers that expresses the rate at which the numbers increase or decrease. These two numbers are directly proportional when they increase and decrease at the same rate.

The answer is A. 2

Step-by-step explanation:

First let's simplify both sides of the equation

Now using the Subtraction Property of Equality subtract 5 from both sides

\(-7g+5-5=-9-5-7g=-14\)

Now using the Division Property of Equality divide both sides by -7

When describing quantitative data, an outlier a. is a data point that does not fit the main pattern of the data.

In statistics, an outlier is a data point that dramatically deviates from the overall pattern or trend of the data. It is an observation that, in a population-based random sampling, deviates unusually from the other values. Outliers can skew the overall analysis or interpretation of the data since they are either greater or lower than the bulk of the data points. As a data point that does not fit the predominant pattern of the data, an outlier is precisely defined as such.

Option (b) is not always accurate since outliers may have reasonable values, despite being rare. Option (c) is not always accurate, though, as data input mistakes may not always be the cause of outliers. Because not all probable outliers can be identified using the 1.5 times the interquartile range (IQR), which is a popular approach, option (d) is inaccurate.

Complete Question:

When describing quantitative data, an outlier

a. is a data point that does not fit the main pattern of the data.

b. is always a data point with an unrealistic or even impossible value.

c. is always a data entry error.

d. is any point flagged by the 1.5 times iqr.

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There are eight possible states, and the transition probabilities can be estimated based on historical data or observations.

To analyze the given weather system using a Markov chain, we need to identify the different possible states that the system can be in.

In this case, the states would correspond to the different combinations of weather conditions over the last three days. There are eight possible states, as each day can either be rainy or not rainy, resulting in 2^3 = 8 possible combinations.

Next, we would need to determine the probability of transitioning from one state to another. For example, if it rained for the past three days, the probability of it raining again tomorrow might be high,

while if it was sunny for the past three days, the probability of rain might be low. These transition probabilities can be estimated based on historical weather data or by observing the system for a period of time.

Once we have determined the transition probabilities, we can create a transition matrix that describes the probabilities of moving from each state to every other state. This matrix can then be used to calculate the long-term probabilities of being in each state, and to make predictions about the likelihood of rain in the future.

In summary, to analyze the given weather system using a Markov chain, we need to identify the possible states based on the weather conditions over the last three days,

determine the transition probabilities between states, create a transition matrix, and use it to calculate long-term probabilities and make predictions.

In this case, there are eight possible states, and the transition probabilities can be estimated based on historical data or observations.

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Answer:

Step-by-step explanation:

I have two questions; One, are you the student? Two, is this a trick question because if it is it's freaking hilarious