find the smallest number of people you need to choose at random so that the probability that at least one of them has a birthday today exceeds 1/2.

The second letter is B, the eighth letter is H and the third letter is C

When we start to count from left to right starting from letter A,

               1st letter is  A

                2nd letter is B

                3rd  letter is C

                4th letter is  D

                5th letter is  E

                6th letter is F

                7th  letter is G

                8th  letter is H

                9th letter is  I

               10th letter is J

               11th  letter is K

               12th letter is L

               13th letter is M

               14th letter is N

               15th letter is  O

               16th letter is  P

               17th letter is Q

               18th  letter is R

               19th  letter is S

               20th letter is  T

               21st  letter is U

Thus,

         Second letter is  B

         Eighth letter is    H

         Third letter is      C

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Answer:

ans will be 7y-5+3

this will be the ans

Answer: The slope is 2

Step-by-step explanation: -1 to -3 is -2. 2 to -2 is -4. rise/run. -4/-2=2

Answer:

To find the current rate of change of the weekly sales with respect to time, we need to find the derivative of the equation s = 2250 + 50x + 0.35x^2 with respect to x and then evaluate it at x = 1500.

The first step is to take the derivative of the equation:

s = 2250 + 50x + 0.35x^2

d(s)/dx = 50 + 0.7x

Next, we need to evaluate the derivative at x = 1500:

d(s)/dx = 50 + 0.7 * 1500 = 50 + 1050 = 1100

So, the current rate of change of the weekly sales with respect to time is 1100 dollars per week. This means that for every $125 increase in the weekly advertising costs, the weekly sales will increase by $1100.

\(|3x+4|-9=0\)

Add 9 to both sides:

\(|3x+4|-9+9=0+9\)

\(|3x+4|=9\)

Solve the Absolute Value:

\(3x+4=9or3x+4=-9\)

__________________________________________________________

\(3x+4=9\)

Subtract 4 from both sides:

\(3x+4-4=9-4\)

\(3x=5\)

Divide both sides by 3:

\(\dfrac{3x}{3} =\dfrac{5}{3}\)

\(\fbox{x = $\dfrac{5}{3} $ or 1$\dfrac{2}{3}$}\)

__________________________________________________________

\(3x+4=-9\)

Subtract 4 from both sides:

\(3x+4-4=-9-4\)

\(3x=-13\)

Divide both sides by 3:

\(\dfrac{3x}{3} =\dfrac{-13}{3}\)

\(\fbox{x = $\dfrac{13}{3} $ or -4$\dfrac{1}{3} $}\)

________________________________________________________

\(\fbox{Options A and D}\)

Answer:

30

Step-by-step explanation:

pythagoras theorem dictates:

a squared plus b squared=c squared

576+324=900

take the square root of that

30

One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).

By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.

This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.

Option B holds true.

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To solve this problem, we first need to understand that a rhombus is a quadrilateral with all sides equal in length. Also, the diagonals of a rhombus bisect each other at right angles. Let's assume that the angle between one of the sides and a diagonal is x degrees. Then, the angle between the other diagonal and the same side is 180-x degrees. Since the difference between these two angles is given as 32 degrees, we can set up an equation:
(180-x) - x = 32
Solving this equation, we get:
2x = 148
x = 74
Therefore, the angles of the rhombus are 74 degrees and 106 degrees.

A rhombus is a special type of quadrilateral where all sides are equal in length. Also, the diagonals of a rhombus bisect each other at right angles. In this problem, we are given that the difference of the measures of 2 angles between a side and the diagonals is 32 degrees. To solve for the angles of the rhombus, we need to use the fact that the sum of the interior angles of a quadrilateral is 360 degrees. We assume that one of the angles between a side and a diagonal is x degrees, and set up an equation using the difference given in the problem. Solving this equation gives us the value of x, which allows us to find the other angle.

In a rhombus, the angles between a side and the diagonals are equal. If we are given the difference between these angles, we can use an equation to solve for the measures of these angles. In this problem, we found that the angles of the rhombus are 74 degrees and 106 degrees.

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Answer:

my answer lies in paper

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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The required value of the x is 13 in the measures of the angle.

Given that,

Line A and B are parallel lines and intersect by a transversal line.

Here,

If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,

Thus, we get;

8x + 2 = 14x - 76

6x = 78

x = 78 / 6

x = 13

Thus, the required value of the x is 13 in the measures of the angle.

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Answer:

Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Today, average yearly tuition and fees for one year at the university are about $10,350.

I will assume a yearly interest rate of 8%.

First, we need to calculate the total amount needed:

Future value (FV)= 10,350*4= $41,400

Now, using the following formula, the annual deposit required:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (41,400*0.08) / [(1.08^15) - 1]

A= $7,194.22

Answer:

197.92

Step-by-step explanation: C=2πr=2*π*31.5≈197.92034

Answer:

2%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Two alternators are being connected to supply power to a load. After the connection is made, in order to make the added alternator share the load, the input torque to the alternator being added must be increased.

Tο supply pοwer tο a lοad using multiple alternatοrs, the input tοrque tο the added alternatοr shοuld be adjusted tο match the pοwer demand οf the lοad. The added alternatοr shοuld be synchrοnized with the existing alternatοrs and cοnnected in parallel tο share the lοad.

The input tοrque tο the added alternatοr will depend οn the pοwer required by the lοad and the characteristics οf the alternatοrs, such as their pοwer ratings and efficiency. By prοperly adjusting the input tοrque οf the added alternatοr, it can cοntribute tο supplying pοwer tο the lοad alοng with the existing alternatοrs.

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In order to find the value of x, consider that the measure of the angle above angle of 142° is equal to the measure of the angle with expression 2(x+9).

Take into account that the sum of the angle of 142° and the angle above it is equal to 180°.

Then, you have:

142 + 2(x + 9) = 180

solve the previous equation for x, as follow:

142 + 2(x + 9) = 180 apply distribution property left side

142 + 2x + 18 = 180 simplify like terms left side

2x + 160 = 180 subtract 160 left side

2x = 180 - 160

2x = 20

x = 20/2

x = 10

Hence. the value of x is 10°

Answer:

\(let \: the \: numbers \: be \: x \: and \: y \\ then \\ \)

\(x + y = 201(equation \: 1) \\ x - y = 69(equation \: 2)\)

According to 2nd equation

\(x = 69 + y\)

Putting the value of x in the first equation

\(69 + y + y = 201 \\ \implies \: 69 + 2y = 201 \\ \implies \: 2y = 201 - 69 \\ \implies \: y = \frac{132}{2} \)

\( \implies \: y = 66\)

We know that

\(x = y + 69 \\ \implies \: x = 66 + 69 \\ \implies \: x = 135\)

If you have any doubts you can comment and ask

Answer:

135 and 66

Step-by-step explanation:

Solve the system of equations

Equation 1: x + y = 201

Equation 2: x - y = 69

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

In the computer game Steeplechase, the horse should be directly in front of the fence when you press the "jump" button.

The reason for this is that the highest part of the jump needs to be directly above the fence in order to avoid losing time.

By timing the jump correctly and pressing the button when the horse is in front of the fence, you ensure that the horse clears the obstacle efficiently and minimizes any time penalties.

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The statement "Since there is an infinite number of values a continuous random variable can assume, the probability of each individual value is virtually 0" is True

In the case of a continuous random variable, the probability of any individual value is virtually zero because there are infinite possible values that the variable can take.

Instead, we typically deal with probabilities over intervals or ranges of values.

The probability density function (PDF) represents the likelihood of the variable falling within a specific range of values.

Thus, while individual values are possible, their probabilities are infinitesimally small.

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Answer:

Step-by-step explanation:

You basicly want to use A=pe^rt to find the amount of money you now have. A is the total amount of money you have after a certian period of time (T) while your money grows at a steady rate (R). (E) is an irrational number 2.71828. (P) is the amount of money you started with. Your precentage is your rate and this means you earn 9% of what you have per year. The way the problem would be set up A=1500(2.71828)^(.09)(2). This problem allows for exponential growth to occur because your two variables are time and the amount you have in that time.

The probability of getting two "1's" out of three draws without replacement from the box is 0.3, which matches the first option.

To find the probability of getting two "1's" out of three draws without replacement from a box containing 5 tickets, we can use the following steps:

Step 1: Determine the total number of possible ways to draw three tickets from the box without replacement. This can be calculated using the formula for combinations:

C(5, 3) = 5! / (3! * 2!) = 10

Step 2: Determine the number of ways to draw two "1's" and one other ticket. There are two "1's" in the box, so we can choose two of them in C(2, 2) = 1 way. The third ticket can be any of the remaining three tickets in the box, so we can choose it in C(3, 1) = 3 ways. Thus, there are 1 x 3 = 3 ways to draw two "1's" and one other ticket.

Step 3: Calculate the probability of getting two "1's" by dividing the number of ways to draw two "1's" and one other ticket by the total number of possible draws:

P(two "1's") = 3 / 10

Therefore, the probability of getting two "1's" out of three draws without replacement from the box is 0.3, which matches the first option.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The mean is 58.319 m/h and the standard deviation is 11.665 m/h of the vehicle speed if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h.

The mean and standard deviation of the vehicle speed can be calculated by using the formula for z-score.

The z-score of measure X can be given as;

Z = X - μ / σ

In this case, 39.13 m/h is the 5th percentile; therefore when X = 39.13, Z has a p-value of 0.05, hence Z = -1.645

Z = X - μ / σ

-1.645 = (39.13 - μ) / σ

39.13 - μ = -1.645σ

μ = 39.13 + 1.645σ

Additionally, 73.25 m/h is the 90th percentile (100 - 10 = 90), therefore when X = 73.25, Z has a p-value of 0.9, hence Z = 1.28

1.28 = (73.25 - μ) / σ

73.25 - μ = 1.28σ

μ = 73.25 - 1.28σ

We can find the standard deviation by equalling both equations as follows;

39.13 + 1.645σ = 73.25 - 1.28σ

1.645σ + 1.28σ = 73.25 - 39.13

2.925σ = 34.12

σ = 34.12/2.925 = 11.665 m/h

Now the mean can be calculated as follows;

μ = 73.25 - 1.28σ

μ = 73.25 - 1.28(11.665)

μ = 58.319 m/h

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Answer:

dx/dy = y/2x

Step-by-step explanation:

-4x × dx/dy = -2y..... that's all

Answer:

The answer is A. And please be my friend

Step-by-step explanation:

Step-by-step explanation:

\(\sqrt{36/4} =\)\(\sqrt{36} /\sqrt{4}\)

\(\sqrt{36}=6\)

\(\sqrt{4} =2\)

6/2=3

Hope that helps :)