What is the binomial probability formula used for?

Answer:

1 Pizza

Step-by-step explanation:

10 times 2 is 20. 20 is how many pizza slices in the box, so they only need 1 pizza.

The probability that a continuous random variable equals any of its values is called Continuous probability distribution.

Continuous probability distribution:

A probability distribution in which the random variable X can take on any value (which is continuous). Since there are infinitely many possible values ​​for X, the probability that X takes on any particular value is zero. So we often talk about a range of values ​​[p(X >0] = 0.50).

An absolutely continuous probability distribution is a probability distribution of real numbers with an uncountable set of possible values, such as the full interval of a solid line, where the probability of any event can be expressed as an integral. More precisely, there exists a function f: R − [0, so that for each interval[ 0,∞] ⊂ R, the probability that X belongs to [a, b] is given by the integral of f over I.

[tex]P(a\leq X\leq b) = \int\limits^a_b {f(x)} \, dx[/tex]

Since this is the definition of a probability density function, an absolutely continuous probability distribution is exactly equivalent to a probability density function. In particular, the probability that X takes any single value a (i.e. a≤X≤b) is zero because integrals with the same upper and lower bounds are always zero. If the interval [a, b] is replaced by the measurable set A, then the equivalence remains valid.

P(X ∈ A) = [tex]\int\limits^a_b {f(x)} \, dx[/tex]

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The linear inequality 32,500<x<36,000 best represents age of the tusk, where x is the age of ivory tusk.

What exactly are linear inequalities?

Inequality is a mathematical statement in which neither side is equal. In Math, an inequality occurs when a connection produces a non-equal comparison between two expressions or two integers. The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols '<' and '>' represent severe inequalities, whereas " and " represent slack inequalities.

Now,

Given that

An archaeologist estimated the age of an ivory tusk to be at least 32,500 years old and less than 36,000 years old.

Let x be the age of ivory tusk

then x>32,500 years

and x<36,000 years

hence,

          The linear inequality 32,500<x<36,000 best represents age of the tusk.

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LCM is the smallest number that is completely by the given numbers. It can be calculated using different techniques. LCM of 6 and 8 is found to be 24.

LCM of 6 and 8 means the smallest number that can be divisible by both 6 an 8. LCM can be calculated by three methods.

        Multiples of 6  are 6, 12, 18, 24, 30, 36.....

         Multiples of 8  are 8, 16, 24, 32.....

      The smallest common multiple or LCM is 24

        6 - 2×3

        8 - 2×2×2

LCM = 2×3×2×2 = 24

           2    |  6, 8                                                                                                                      

          2     |  3, 4

                    3, 2

LCM = 2×2×3×2 = 24

So the LCM of 6 and 8 is found to be 24 by all methods.

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A 6 pack of bouncy ball costs 2.76$ and the unit price of a bouncy ball is $0.46

To find the unit price of the bouncy balls, we need to divide the total cost by the number of bouncy balls in the pack. Since there are 6 bouncy balls in the pack and the cost is $2.76, we can calculate the unit price as follows: Unit price = total cost ÷ number of units

Unit price = $2.76 ÷ 6

Unit price = $0.46

Therefore, the unit price of a bouncy ball is $0.46.

Unit price is a measure of the cost of a single unit of a product. It is calculated by dividing the total cost of a product by the number of units in the package. The unit price is helpful when comparing the costs of different package sizes or brands of the same product. It allows consumers to make informed decisions about their purchases based on the value they receive for their money. Unit pricing is required by law in some countries, including the United States, to ensure transparency in pricing and to protect consumers from deceptive marketing practices. Overall, knowing the unit price of a product can help consumers save money and make more informed purchasing decisions.

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Note that the angle indicated by the question mark is 75°. See the explanation below.

Given that the angle at the vertex that they (the equilateral triangle and the square share) is a right angle or 90 degrees.

This means that the middle angle of the equilateral triangle is 60° this is because an "equilateral" triangle has 3 equivalent sides and, therefore, 3 equivalent angles.

Since the sum of the 3 angles of ANY triangle is 180°, then 180/3 = 60° for each angle.

Because the angle at the vertex is "splitting" a right angle, or 90 degrees which belongs to the square, then that leaves 2 smaller angles on each side of the 60° angle,

or 90 - 60

=30/2

=15° each.

That is the top angle of the triangle you are trying to solve.

Therefore, since that small triangle is a right triangle, then: 180 - 90 - 15 =75°, which is the angle with a question mark (?)

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Full Question:

An equilateral triangle and a square are inscribed in a circle as shown.  ABCis isosceles. The triangle and square share a common vertex. What is the number of degrees in the measure of the angle indicated by the question mark? (See attached)

A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect. The correct answer is A: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

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The value x = 3 will result in the greatest relative frequency given discrete random variable X.

What is relative frequency?

A frequency is the number of times an event takes place. It's experimental, not theoretical, to study relative frequency. As it is an experimental one, it is likely that when we repeat the trials, we will get different relative frequencies.

The relative frequency of a discrete random variable increases with decreasing variable value.

This implies that,

A variable with x = 0 would occur more frequently than one with x = n, where n > 0.

So, the greatest relative frequency given discrete random variable X, when X ∼ B (4, 1/10) is  x = 3.

Hence, the value x = 3 will result in the greatest relative frequency given discrete random variable X.

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The drama club must sell at least 73 adult tickets in addition to the 66 student tickets in order to meet the show's expenses.

Let's start by using algebra to solve the problem. Let x be the number of adult tickets sold. Then, we can write the following equation for the total ticket sales:

5.50(66) + 7.50x = total ticket sales

We know that the drama club must make at least $910 from ticket sales, so we can write:

5.50(66) + 7.50x ≥ 910

Multiplying out the first term and subtracting 363 from both sides, we get:

7.50x ≥ 547

Dividing both sides by 7.50, we get:

x ≥ 72.93

Since we can't sell a fraction of a ticket, the drama club must sell at least 73 adult tickets to meet the show's expenses. Therefore, the minimum number of adult tickets the drama club must sell is 73.

In conclusion, the drama club must sell at least 73 adult tickets in addition to the 66 student tickets in order to meet the show's expenses.

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Answer:

13.5

Step-by-step explanation:

9/6 = 1.5

1.5 x 9 = 13.5

The value of temperature 75degrees Fahrenheit converted to Celsius is 23.89 degrees Celsius.

To convert 75 degrees Fahrenheit to Celsius, you can use the formula

(F - 32) x 5/9.

Here's how to use this formula:

Subtract 32 from 75: 75 - 32 = 43

Multiply 43 by 5/9: 43 x 5/9 = 23.89

So 75 degrees Fahrenheit is equivalent to 23.89 degrees Celsius. To remember this formula easily, you can use the mnemonic "Fahrenheit to Celsius, subtract 32, then divide by 1.8".

This is a useful formula to know if you're traveling internationally or working with scientific data that uses Celsius instead of Fahrenheit.

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The result of 2/3 in decimals is 0.667

To convert a fraction to a decimal, you simply need to divide the numerator (the top number) by the denominator (the bottom number).

In this case, we have:

2 ÷ 3 = 0.666666...

This decimal representation of 2/3 is a repeating decimal, which means that the digit 6 repeats indefinitely.

To write this number as a decimal with a finite number of decimal places, we can round it off to a certain number of decimal places.

For example, rounding to two decimal places gives:

2/3 ≈ 0.67

Rounding to three decimal places gives:

2/3 ≈ 0.667

And so on. The number of decimal places to which you round depends on how precise you need the answer to be.

Therefore, 2/3 is 0.667

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The conversion of 5kg in pounds is 11.0231 pounds (rounded to four decimal places).

A kilogram is greater than a pound. I know that a kg is greater than a lb because of something called conversion factors.

Put very simply, a conversion factor is a number that can be used to change one set of units to another, by multiplying or dividing it. So when we need to convert 5 kilograms into pounds, we use a conversion factor to get the answer.

The conversion factor for kg to lb is:

1 kg = 2.2046244201838 lb

Now that we know what the conversion factor is, we can easily calculate the conversion of 5 kg to lb by multiplying 2.2046244201838 by the number of kilograms we have, which is 5.

5 x 2.2046244201838 = 11.023122100919 lb

To convert 5kg to pounds, you can use the conversion factor of 2.20462 pounds per kilogram. Multiplying 5kg by this conversion factor gives:5 kg * 2.20462 pounds/kg = 11.0231 pounds.

Therefore, 5kg is equivalent to 11.0231 pounds (rounded to four decimal places).

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Step-by-step explanation:

just keep in mind :

i = sqrt(-1)

that is all we need to know.

from there we know the forever repeating group of 4 "power of i" values :

i¹ = i

i² = sqrt(-1)² = -1

i³ = i²×i = -1×i = -i

i⁴ = i²×i² = -1×-1 = 1

and this repeats now over and over again with the following powers :

i⁵ = i⁴×i = 1×i = i

i⁶ = i⁴×i² = 1×-1 = -1

i⁷ = i⁴×i³ = 1×-i = -i

i⁸ = i⁴×i⁴ = 1×1 = 1

and so on and so on ...

so,

i⁸¹ = i⁸⁰×i = (i⁴)²⁰×i = 1²⁰×i = 1×i = i

i⁵² = (i⁴)¹³ = 1¹³ = 1

i⁹⁹ = i⁹⁶×i³ = (i⁴)²⁴×i³ = 1²⁴×-i = 1×-i = -i

i⁶⁶ = i⁶⁴×i² = (i⁴)¹⁶×i² = 1¹⁶×-1 = 1×-1 = -1

for such questions always look for the modulo (remainder) result when dividing the exponent by 4. and then use the first list or table above.

Answer:

False

Step-by-step explanation:

This is the  POINT -SLOPE form

To find the minimum score needed to be in the top 7%, we need to find the score that corresponds to the 93rd percentile, since the top 7% is the complement of the bottom 93%.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 93rd percentile, which is approximately 1.44. This means that a score of 1.44 standard deviations above the mean corresponds to the 93rd percentile.

To find the actual score, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the actual score, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z * σ + μ

= 1.44 * 6.1 + 76.4

= 85.084

So, the minimum score needed to be in the top 7% is approximately 85.084 points.

Answer: The tape diagram that represents the problem is the second (7/3)

Step-by-step explanation:

3/7 isn't 7/3, and 7/7 isn't 7/3. By process of elimination, the second answer works; 7/3 = 7/3.

The output of the following code fragment

int x=0;

while( x < 5)

cout << x << endl;

x ++;

cout << x << endl; will be  0, 1, 2, 3, 4, 5.

The code initializes the variable x to 0, and then enters a while loop that will execute as long as x is less than 5. During each iteration of the loop, the value of x is output to the console using the cout statement, followed by a new line character.

After the cout statement, x is incremented by 1 using the x++ statement. This process is repeated until x is equal to 5, at which point the loop terminates. Finally, the value of x is output to the console using the cout statement, followed by a new line character, giving the output of 5.

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The equation of the axis of symmetry for the parabola is x = 2.

What is the axis of symmetry?

The object's shape is symmetrical because of the axis of symmetry, which is a straight line. On each of its sides, the axis of symmetry produces an exact reflection. It might be lateral, vertical, or horizontal. The two sides of an object are the same if we fold and unfold it along the axis of symmetry. Different shapes have various symmetry lines. There are four lines of symmetry in a square, two lines in a rectangle, infinite lines in a circle, and no lines of symmetry in a parallelogram. There are n axes of symmetry in a regular polygon with n sides.

Given equation of the parabola is

y = 2/3 (x - 2)² - 5

The general form of a parabola is y = a(x - h)² + k.

The vertex of the parabola is (h,k).

The equation symmetric axis is x = h.

Now compare the equation y = 2/3 (x - 2)² - 5 with y = a(x - h)² + k:

a = 2/3, h = 2, k = -5

The equation of the axis of symmetric is x = 2.

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Answer:

x = 1.3

Step-by-step explanation:

cost of rice for 12kg = 12 * x ($x for each kg)

cost of potatoes for 7kg = 7 * (x+1)

total cost = 12 * x + 7 * (x+1) = 31.7

12x + 7x + 7 = 31.7

19x + 7 = 31.7

subtract 7 from both sides to isolate the variable and its coefficient

19x = 24.7

divide both sides by 19 to find x

x = 1.3

We see that both sides are equal, so we can conclude that Camila's solution is correct.

If Camila solved the equation by subtraction and found that n + 17 = 39, then she must have subtracted 17 from both sides to isolate the variable n:

n + 17 - 17 = 39 - 17

n = 22

Therefore, her solution is n = 22.

To check her solution, we can substitute n = 22 back into the original equation and see if it satisfies the equation:

n + 17 = 39

22 + 17 = 39

39 = 39

Since both sides of the equation are equal when n = 22, we can say that her solution is correct.

Alternatively, we can simplify the left-hand side of the equation and compare it to the right-hand side:

n + 17 = 39

22 + 17 = 39

39 = 39

Again, we see that both sides are equal, so we can conclude that Camila's solution is correct.

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Answer:

Step-by-step explanation:

180-55-85=180-140=40

Answer:

3/4

Step-by-step explanation:

Answer:

The slope is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given two points (2,5) and (-2,2). If we need to find the slope, there are two methods which we can use to find the slope.

Method 1: Count the slope

We can use [tex]\frac{rise}{run}[/tex] to count the slope.

Counting the slope, we get [tex]\frac{3}{4}[/tex] which cannot be simplified.

Method 2: Slope formula

We can use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to find the slope as well.

We just have to plug in our coordinates into the formula to get the answer.

[tex]\frac{2-5}{-2-2}[/tex]

Evaluate

[tex]\frac{-3}{-4}=\frac{3}{4}[/tex]

Answer:

(7,3)

Step-by-step explanation:

Our point is (7, -3)

Across the x-axis, which means the y will change to be opposite, so the answer is

(7,3)

The coordinates of P' are (-√3, 1).

Given that P is located on a circle with a radius of two and an origin at its centre, the following trigonometric ratios can be used to determine P's coordinates:

Sin is equal to the opposite/hypotenuse and cos is equal to the adjacent/hypotenuse.

P's coordinates are as a result:

y = 2 sin = 2(1/2) = 1 and x = 2 cos = 2(3/2) = 3.

The x-coordinate of P' will be the opposite of the x-coordinate of P since P and P' are symmetrical about the y-axis, or x' = -3. P' will have the same y-coordinate as P, meaning that y' = 1. Hence, P's coordinates are (-3, 1).

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The chain rule is a formula used in calculus to find the derivative of a composition of functions. It is an important tool for solving problems in many areas of mathematics and science.

The chain rule formula can be stated as follows:

If y = f(g(x)), then the derivative of y with respect to x is given by:

dy/dx = (df/dg) * (dg/dx)

In other words, the derivative of y with respect to x is equal to the derivative of f with respect to g, multiplied by the derivative of g with respect to x.

Here, f and g are functions of x, and y is a function of g. The chain rule formula tells us how to find the derivative of y with respect to x, by taking into account the effect of both f and g on the function y.

The chain rule can be extended to more complex compositions of functions, by applying the formula repeatedly. For example, if y = f(g(h(x))), then the chain rule can be applied twice, as follows:

dy/dx = (df/dg) * (dg/dh) * (dh/dx)

This formula tells us how to find the derivative of y with respect to x, by taking into account the effects of all three functions f, g, and h on the function y.

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The slope of a line perpendicular to the given line is -6/5.

To find the slope of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the original line.

The given equation is:

10x - 12y = -24

To find the slope of this line, we can rearrange the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

First, we can subtract 10x from both sides:

-12y = -10x - 24

Then, we can divide both sides by -12 to isolate y:

y = (5/6)x + 2

Therefore, the slope of the original line is 5/6.

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of 5/6. The negative reciprocal is -6/5.

Therefore, the slope of a line perpendicular to the given line is -6/5.

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Answer:

(-4, 1)

Step-by-step explanation:

x - 5(x + 5) = -9

x - 5x - 25 = -9

-4x - 25 = -9

-4x = 16

x = -4

y = -4 + 5

y = 1