what is the probability that a randomly selected person will have a birthday in august? assume that this person was not born in a leap year. express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answer:

2-6

Step-by-step explanation:

The main difference between X1 and x1 is that X1 is a random variable and x1 is a specific numerical value.

In mathematics, variables are often used to represent different values, and the difference between uppercase and lowercase letters is often used to distinguish between different types of variables. X1 is a random variable, which represents a value that can take on different values depending on the outcome of an experiment or a probability distribution. x1, on the other hand, is a specific numerical value, which represents a fixed value that is known or can be determined. In short, X1 refers to a variable whose value is uncertain and x1 refers to a specific value of that variable.

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The surface area of a rectangular prism is

Where w = 12, l = 4, and h = 4.

Answer:

bottom right is correct

Step-by-step explanation:

Answer:

.005

Step-by-step explanation:

Move the decimal point to the left 2 spaces.

Answer:

.05

Step-by-step explanation:

All you have to do is move the decimal over to the left once!

I hope this helps, and have a great day! :)

Normal probability distribution is applied to a continuous random variable. The correct option is D.

The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.

The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.

Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.

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Answer:

b,c,e,d,a,f

Step-by-step explanation:

The equation in standard form for the ellipse with its center at the origin, a vertex at (0, 7), and a focus at (0, 3) is x^2/16 + y^2/40 = 1.

The equation in standard form for an ellipse with its center at the origin, a vertex at (0, 7), and a focus at (0, 3) is:

**x^2/16 + y^2/40 = 1

To derive this equation, we can use the standard form of an ellipse equation for an ellipse centered at the origin:

**x^2/a^2 + y^2/b^2 = 1**

Given that the center of the ellipse is at the origin, the coordinates of the center are (0, 0), and we have:

**h = 0** (x-coordinate of the center) and **k = 0** (y-coordinate of the center)

The distance from the center to a vertex is represented by 'a,' so in this case, **a = 7** (distance from the origin to the vertex at (0, 7)).

The distance from the center to a focus is represented by 'c,' so in this case, **c = 3** (distance from the origin to the focus at (0, 3)).

To find 'b,' we can use the relationship between 'a,' 'b,' and 'c' in an ellipse:

**c^2 = a^2 - b^2**

Substituting the given values, we have:

**3^2 = 7^2 - b^2**

**9 = 49 - b^2**

**b^2 = 40**

Plugging the values of 'a' and 'b' into the standard form equation, we get:

**x^2/16 + y^2/40 = 1**

Therefore, the equation in standard form for the ellipse with its center at the origin, a vertex at (0, 7), and a focus at (0, 3) is **x^2/16 + y^2/40 = 1**.

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Answer:

55 = 5x

Step-by-step explanation:

Sadie had 55 stickers. Each day she gave away 5 stickers to her friends.

Write an equation to model this situation in the form y = mx + b, but do not

include any spaces in your answers. (for example y=6x+1)

Equation to model this situation in the form y = mx + b,

y = Total number of stickers she had

x = Number of days that she gave away sticker

b = Fixed value = 0

Hence:

55 = 5x + b

b = Fixed value = 0

Therefore, the situation is represented as:

55 = 5x

Answer:

The answer to this problem is 36

Answer:

Your answer will be 1.6cm

Step-by-step explanation:

1cm represents => 2m

Or

2m is represented by 1 cm

then,

1m will be represented by => 1/2 cm [{unitary method}]

then,

3.2 m will be represented by

=> (1/2 × 3.2) cm [{unitary method}]

=> ( 3.2 / 2) cm

=> 1.6 cm

Therefore| : Ans will be 1.6 cm

If you filled out the chart fully:

a = 4

b = 7

c = 6

d = 9

e = 17

Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:

7:10

There is a greater chance of picking a boy than a girl where there is three more boys than girls.

Answer:

p = -6.5

Step-by-step explanation:

-2(p-1) = 15

p-1 = -7.5

p = -6.5

Answer: 12 people

Step-by-step explanation:

insert 12 where the "x" is and type in the full equation into a calculator, and you will get 17.5

Answer:

The correct option is;

The fourth option

Please the attached drawing created with MS Visio

Step-by-step explanation:

From the given figure, we have;

The orientation of ΔSTU is equal to the orientation of ΔS'T'U'

When the plane of reflection is assumed to be the y-axis, we have;

For a reflection about the y-axis, we have;

The coordinate of the preimage = (x, y)

The coordinate of the image after the reflection = (-x, y)

When the image (-x, y) is reflected again across the y-axis, and becomes the image, we have;

The coordinate of the preimage = (-x, y)

The coordinate of the image after the reflection = (x, y)

Therefore, a reflection twice across the same y-axis would result in an image having the same orientation as the preimage

Given that a y-axis is parallel to another y-axis, we have;

A reflection twice across two parallel axis would result in an image having the same orientation as the preimage

The correct option is the 4th option

Please see attached drawing created with MS Visio

Answer:

the fourth one

Step-by-step explanation:

The pre-image and image of the translation are given.

To find the lines of reflection, locate a midpoint M of the translation vector between any two corresponding points on the pre-image and image.

The figure shows two congruent triangles S T U and S prime T prime U prime.

Then find the midpoints of SM and MS'.

The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. Point K is a midpoint of segment M S. Point N is a midpoint of segment M S prime.

The lines of reflection are perpendicular to the vector and intersect with the vector at the second set of midpoints by the Theorem of composition of two reflections across two parallel lines.

The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. There are two lines. The first line passes through point K. The second line passes through point N. These lines are perpendicular to segment S, S prime.

Therefore, the correct graph is the fourth one.

The average of the lengths of the wood at the store can be found to be C. 10.344 Inches.

To find the average length, we need to add up the lengths of the 8 pieces of wood and then divide by 8.

10 and 1/16 = 10.0625

10 and 1/8 = 10.125

10 and 1/4 = 10.25

10 and 3/8 = 10.375

Adding these four lengths together, we get:

10.0625 + 10.125 + 10.25 + 10.375 = 40.8125

Dividing by 4, we get the average length:

40.8125 / 4 = 10.344 Inches

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Answer:

B

Step-by-step explanation:

The integral of 1/ (x √(x²-a²)) is (1/2) ln[(x/ a) + √((x/a)² - 1)] + (1/2) sin⁻¹(x/a) + C, where C is a constant of integration.

To find the integral of 1/ (x √(x²-a²)), we can use a trigonometric substitution.

First, let's rewrite the denominator as:

√(x² - av) = a sin(θ)

where θ is an angle in the right triangle formed by a, x, and √(x² - a²).

Differentiating both sides with respect to x, we get:

(x / √(x² - a²)) dx = a cos(θ) dθ

Solving for dx, we get:

dx = (a cos(θ) / √(x² - a²)) dθ

Substituting this into our integral, we get:

∫ [1 / (x √(x²-a²))] dx = ∫ [1 / (a² sin(θ) cos(θ))] (a cos(θ) / √(x² - a²)) dθ

Simplifying, we get:

∫ [1 / (x √(x²-a²))] dx = ∫ [1 / (a sin(θ) cos(θ))] dθ

We can use the trigonometric identity:

1 / (sin(θ) cos(θ)) = 1 / (2 sin(θ) cos(θ)) + 1 / 2

to rewrite the integral as:

∫ [1 / (x √(x²-a²))] dx = (1/2) ∫ [1 / (sin(θ) cos(θ))] dθ + (1/2) ∫ dθ

Using the substitution u = sin(θ), we get:

∫ [1 / (x √(x²-a²))] dx = (1/2) ∫ [1 / (u(1-u²\()^{0.5}\))] du + (1/2) θ + C

where C is the constant of integration.

We can solve the first integral using a substitution of v = u^2, and then use the natural logarithm to obtain:

∫ [1 / (x √(x²-a²))] dx = (1/2) ln[(u + (1-u²\()^{0.5}\)) / u] + (1/2) θ + C

Substituting back in terms of x, we get:

∫ [1 / (x √(x²-a²))] dx = (1/2) ln[(x/ a) + √((x/a)² - 1)] + (1/2) sin⁻¹(x/a) + C

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The correct answer is d. Sometimes it is difficult to assign random numbers.

Systematic random sampling is often used in place of simple random sampling when it is difficult or impractical to assign random numbers. In systematic random sampling, a starting point is randomly chosen from the population, and then every nth element is selected to be part of the sample.

This method provides a more representative sample than other non-random methods and can be more efficient than simple random sampling in certain situations. However, it is still prone to bias if the pattern of the sampling interval coincides with any underlying patterns in the population.

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The calculated value of the surface area of the cube is 294 mm^2

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

The cube

The side length of the cube is

Length = 7 mm

The surface area of the cube is calculated as

Surface area = 6 * Length^2

Substitute the known values in the above equation, so, we have the following representation

Surface area = 6 * 7^2

Evaluate

Surface area = 294 mm^2

Hence the surface area is 294 mm^2

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

convert km into m

1 km=1000m

360 km=1000*360m

=360000m

again,convert 3 hours into seconds

3 hours=60*60*3

=10800 second

average spped=total distance /time taken

=360000/10800

=33.33 m/s

Step-by-step explanation:

When you rewrite an addition or subtraction problem using the Distributive Property, you have to factor out both values by a common factor, usually the GCF.

This process involves identifying the common factor (the greatest common factor, or GCF) of the terms and then applying the Distributive Property to rewrite the expression. This common factor can be the greatest common factor (GCF) if it exists, but it does not have to be. The goal is to find a factor that is common to both terms, so that it can be factored out and the expression can be simplified.For example, consider the expression 6 + 8. We can rewrite this using the distributive property by factoring out 2, which is a common factor of both 6 and 8:6 + 8 = 2(3) + 2(4)Then, we can simplify the expression by adding the like terms:2(3) + 2(4) = 6 + 8 = 14Note that in this example, we factored out the common factor 2, which is not the GCF of 6 and 8 (the GCF is 2). However, factoring out 2 allowed us to simplify the expression using the distributive property.

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There is a 29.7% chance of receiving at least 5 tails in 7 flips.

The total number of possible outcomes in the sample space S for flipping a coin 7 times is 2^7 = 128.

To calculate the number of outcomes in event A, we can use the binomial distribution formula:

n(A) = C(7,5) + C(7,6) + C(7,7)

where C(n,k) is the number of combinations of n items taken k at a time.

Using this formula, we get:

n(A) = (7 choose 5) + (7 choose 6) + (7 choose 7)

= 21 + 7 + 1

= 29

Therefore, there are 29 outcomes in event A.

To calculate the probability of getting at least 5 tails, we can add up the probabilities of getting exactly 5, 6, or 7 tails:

P(A) = P(5) + P(6) + P(7)

where P(k) is the probability of getting k tails in 7 flips.

The probability of getting k tails in 7 flips can be calculated using the binomial probability formula:

P(k) = C(7,k) * p^k * (1-p)^(7-k)

where p is the probability of getting a tail on a single flip, which is 0.5 for a fair coin.

Using this formula, we get:

P(5) = C(7,5) * 0.5^5 * 0.5^2 = 0.21875

P(6) = C(7,6) * 0.5^6 * 0.5^1 = 0.07031

P(7) = C(7,7) * 0.5^7 * 0.5^0 = 0.00781

Therefore,

P(A) = 0.21875 + 0.07031 + 0.00781 = 0.29687

So the probability of getting at least 5 tails in 7 flips is approximately 29.7%, rounded to the nearest whole percent.

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Answer:

A=a2

Step-by-step explanation:

Answer:

567 Miles

Step-by-step explanation:

Answer:

567 mi

Step-by-step explanation:

you have to divide by 11 then multiply by 9

That means , Seth gain loss of  $261 on his selling stocks.

Last month, Seth made money by selling stocks. His investment income was $401 This month, Seth's investment income is −$261 What does this mean?

Profit(P)

The amount gained by selling a product for more than its cost price.

Loss(L)

The amount the seller incurs after selling the product less than its cost price is mentioned as a loss.

Cost Price (CP)

The amount paid for a product or commodity to purchase is called a cost price. Also, denoted as CP. This cost price is further classified into two different categories:

Fixed Cost: The fixed cost is constant, it doesn’t vary under any circumstances

Variable Cost: It could vary depending on the number of units and other factors

Selling Price (SP)

The amount for which the product is sold is called the Selling Price. It is usually denoted as SP. Also, sometimes called a sale price.

Marked Price Formula (MP)

This is basically labelled by shopkeepers to offer a discount to the customers in such a way that,

Discount = Marked Price – Selling Price

And Discount Percentage = (Discount/Marked price) x 100

Profit and Loss Formulas

Now let us find the profit formula and loss formula.

The profit or gain is equal to the selling price minus the cost price.

Loss is equal to the cost price minus the selling price.

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

The formula for the profit and loss percentage is:

Profit percentage (P%) = (Profit /Cost Price) x 100

Loss percentage (L%) = (Loss / Cost price) x 100

Last month

Seth made money by selling stocks.

His investment income was $401

That means , Seth gain profit of $401 on his selling stocks.

This month

Seth's investment income is −$261

That means , Seth gain loss of  $261 on his selling stocks.

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Triangle JKL is right. Triangle XYZ is acute.

To classify a triangle you need to know the measure of each angle.

For triangle JKL, if we measure the angles, we can see that angle JKL is 90 degrees, which makes it a right triangle.

For triangle XYZ, if we measure the angles, we can see that all angles are less than 90 degrees, which makes it an acute triangle.

Triangle JKL is a right triangle and triangle XYZ is an acute triangle.

Triangle JKL is right. Triangle XYZ is acute.

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Answer: b and a

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:   the answer is   {negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0}  its C  the third one .   maby brainliest

Step-by-step explanation: