for n1 = 70 and n2 = 100 from populations 1 and 2, the number of successes are 35 and 35 respectively. the estimate of the difference between 1 -T/F

Answer:

30

Step-by-step explanation:

15cm for 5

5 x 2=10

15 x 2 = 30

Answer:

a

Step-by-step explanation:

smart

Nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

What is the pigeon-hole approach?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. For instance, if one possesses three gloves but none of them are ambidextrous or reversible, then there must be at least two right-handed gloves or at least two left-handed gloves since there are three items but only two categories of handedness. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

The standard 52 deck has 4 suits of 13 cards each, thus as per n pigeons need to be extracted from p = 4 pigeon-holes; as per established literature above.
∴ [(n - 1) / p] + 1 = 3 ⇒ [(n - 1) / 4] + 1 = 3 ⇒ n - 1 = 8 ⇒ n = 8 + 1 ⇒ n = 9
Therefore, nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

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So there are 6 permutations possible with the letters "ABC". These are: ABC, ACB, BAC, BCA, CAB, CBA.

Permutations are a way of arranging objects in a specific order. The number of permutations of a set of n distinct objects is given by n!, where n! denotes the factorial of n.

In the case of the letters "ABC", there are three distinct objects: A, B, and C. Therefore, the number of permutations possible with these letters is:

3! = 3 x 2 x 1 = 6

This means that there are 6 possible ways of arranging the letters "ABC" in a specific order. These permutations are:

ABC

ACB

BAC

BCA

CAB

CBA

To see why there are 6 possible permutations, consider the first position. There are three letters to choose from, so there are three possible choices for the first position. Once the first letter is chosen, there are two letters left to choose from for the second position. Finally, there is only one letter left to choose from for the third position. Therefore, the total number of permutations is:

3 x 2 x 1 = 6

In summary, the number of permutations of a set of n distinct objects is given by n!, and in the case of the letters "ABC", there are 3! = 6 possible permutations: ABC, ACB, BAC, BCA, CAB, and CBA.

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After 4 years, with an initial deposit of $4000 and an annual interest rate of 5.7% compounded annually, Bill will have approximately $4,797.36 in his account.

To calculate the future value of the account after 4 years, we can use the formula for compound interest:

A = P\((1 + r/n)^(nt)\)

Where:

A = the future value of the account

P = the principal amount (initial deposit)

r = the annual interest rate (expressed as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, Bill deposited $4000, the annual interest rate is 5.7% (or 0.057 as a decimal), and the interest is compounded annually (n = 1). Plugging these values into the formula, we have:

A = 4000\((1 + 0.057/1)^(1*4)\)

≈ 4000\((1.057)^4\)

≈ 4000(1.2420449)

≈ 4797.36

Therefore, after 4 years, Bill will have approximately $4,797.36 in his account. It's important to note that this calculation assumes no additional deposits or withdrawals were made during the 4-year period.

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The formula for the distance from P to B is √(25-10y+y²+z²)  and the formula for L(x, y) the total length of the connector joining P to A, B, and C is √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²).

Given, Domain: 5, 5, and A, B, C are not given and unknown.

2. To find the formula for the distance from P to B, first we need to consider the triangle PBA and the Pythagoras theorem. The distance from P to B is the hypotenuse of the right triangle PBA and can be obtained by the formula using the Pythagorean theorem as follows; h² = p² + b²

Where, h = hypotenuse, p = perpendicular, b = base

Let's use the information given in the problem, where B is on the x-axis, which means the distance from P to B is the length of the segment BP. Then, the value of p is (5 - y) and the value of b is z.

So, the formula for the distance from P to B will be; BP = √(5-y)²+z²= √(25-10y+y²+z²)

3. Now, to find a formula for L(x,y), we need to consider the distance between A, B, and C. We have already found the length of the connector joining B to P, which is BP.

To find the length of connector AP and CP, we have to use the distance formula for 3D space that is the formula for the Euclidean distance between two points (x1, y1, z1) and (x2, y2, z2).

The formula is given by;d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Therefore, the formula for the total length of the connector joining P to A, B, and C can be given as follows;

L(x, y) = AB + AP + CP = √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²)

4. Now, we need to find the minimum value of L(x,y) over all (x,y,z) that satisfy the equation x+y+z=5.

To do this, we have to differentiate L(x,y) with respect to x and y. We assume that partial derivatives are equal to zero since we are looking for the minimum value.

L(x,y) = AB + AP + CP = √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²)∂L/∂x = -√((5-x)²+y²+z²)/(√((5-x)²+y²+z²)+√(x²+y²+(5-z)²)) = √(x²+y²+(5-z)²)/(√((5-x)²+y²+z²)+√(x²+y²+(5-z)²))∂L/∂y + -√(y²+z²+25)/(√(5²+y²+z²)+√((5x)²+y²+z²)) = √(y²+z²+25)/(√(5²+y²+z²)+√((5-x)²+y²+z²))

The minimum value occurs when the partial derivatives are equal to zero.

Therefore, we have the following two equations; x²+y²+(5-z)² = (5-x)²+y²+z² ……………(1)

y²+z²+25 = 5²+y²+z²+2√((5-x)²+y²+z²) ……(2)

Simplify equation (2) : 5√((5-x)²+y²+z²) = 5² - 25 + 2x√((5-x)²+y²+z²)

Squaring both sides25(5-x)² + 25y² + 25z² = 25x² + 625 - 50x

Substituting z = 5-x-y in the above equation

25(2x² - 10x + 25) + 25y² - 50xy = 625 …………….(3)

Now, we have to minimize equation (3) subject to the condition x + y + z = 5.

We will use the Lagrange multiplier method for this.

Let's assume that F(x,y,z,λ) = 25(2x² - 10x + 25) + 25y² - 50xy + λ(5-x-y-z)∂F/∂x = 100x - 250 + λ = 0∂F/∂y = 50y - 50x + λ = 0∂F/∂z = λ - 25 = 0∂F/∂λ = 5 - x - y - z = 0

Solving these equations, we get x = 5/3, y = 5/3, z = 5/3

Now we can substitute these values in equation (1) or (2) to find the minimum value of L(x,y).

Using equation (2), we get25 = 5² + 2√((5/3)²+y²+(5/3)²)√((5/3)²+y²+(5/3)²) = 10/3

Substituting back into the equation for L(x,y) we get L(x,y) = √50+√50+√50=3√50

the minimum value of L(x,y) over all (x,y,z) that satisfy the equation x+y+z=5 is 3√50

Therefore, the formula for L(x, y) is √(5²+y²+z²)+√((5-x)²+y²+z²)+√(x²+y²+(5-z)²).

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Step-by-step explanation:

Angles EXTERNAL to a circle are equal to 1/2 the difference of the intercepted arcs

   arcs are     17x   and  360 - 17x

75 = 1/2(17x - ( 360-17x)

75 = 1/2 ( 17x - 360 + 17x)

 150 = 34x-360

  510 = 17x

   x =30  

Step-by-step explanation:

1/4096

0.000244140625

2^-12

1/(2^12)

All of the above expressions are equivalent to (12⁻₂)₈, which is a decimal representation of a number that is obtained by dividing 1 by 2 raised to the power of 12. The first and second expressions are decimal representation of the number, the third one is the representation of the number by using the base 2 logarithm, and the fourth one is the mathematical representation of the number by dividing 1 by 2 raised to the power of 12.

The interest earned is $50

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments. ​Simple Interest=P×r×t

               where:

                     P=Principal

                    r= interest rate per annum

                    t=Number of years

​

Given here, P = $1000 , r = 5%  t=1

thus using the formula we get    SI = 1000×5/100×1

                                                          = $50

Hence, the interest earned is equal to $50

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Answer:

Not effective: 31.5%

Effective: 68.5%

Step-by-step explanation:

200

First we need to figure out how many tests they did :)

20 x 10 = 200

Now lets divide to see the percentage of how effective and not effective it is :)

Not effective: 31.5%

63/200 = 0.315 x 100 = 31.5

Effective: 68.5%

137/200 = 0.685 x 100 = 68.5

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Not effective: 31.5%

Effective: 68.5%

Step-by-step explanation:

Tickets sold on the day of the tournament are 374.

Suppose tickets sold before the tournament =x

So, tickets sold on the day of the tournament = x-150

An equation is a statement that equates to two statements.

According to the question, the total number of tickets sold is 898.

\(x+(x-150)=898\)

\(2x-150=898\)

\(2x=1048\)

\(x=524\)

Tickets sold before the tournament =524

So, Tickets sold on the day of the tournament =524-150 = 374

Hence,  Tickets sold on the day of the tournament are 374.

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The algebraic solution to each of the exponential equation include the following:

8. x = 3, -2.

9. x = 3.077.

10. x = 3.611.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\\\\f(x) = ae^{kx}\)

Where:

Question 8.

\(e^x=e^{x^2-6}\)

By applying the law of indices for powers with the same base to the given exponential function, we have:

x = x² - 6

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

(x - 3)(x + 2) = 0

x = 3, -2

Question 9.

\(4e^x=87\)

By taking the natural logarithm (ln) of both sides of the exponential function, we have the following:

x = ln(87/4)

x = 3.077.

Question 10.

\(e^x-1=36\\\\e^x-1+1=36+1\\\\e^x=37\)

By taking the natural logarithm (ln) of both sides of the exponential function, we have the following:

x = ln(37)

x = 3.611.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: You would earn $206.28 that year.

Step-by-step explanation: Remember, Intrest = principal x time x rate. That means the expression that would express this question would be 8,595 x 1 x 0.024. Therefore, the final answer is $206.28.

3^8 x 27

= 6561 x 27

=177147

answer

=177147

Step-by-step explanation:

3^8 x 27

= 6561 x 27

=177147

Answer:

55°

Step-by-step explanation:

If angle 1 is 35°, angle 2 is also 35° because vertical angles are congruent.

Since complementary angpes add to 90°, angle 3 is 55°.

Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

The given expression is

First, we solve the subtraction

Now we subtract 2 on each side to get x-2

Let's solve the difference

Answer:

True because of the Ex's within the table

Step-by-step explanation:

Answer:

2/5 m ÷ by 6 minutes is the unit rate (can you do this division?)

On careful reading, I see that you're asked for minutes per meter, so that 6 min divided by 0.4 m, which is 2.5 times 6 min or 15 minutes per meter.

Answer:

15 min

Step-by-step explanation:

2/5 divided by 6

=2/5 * 1/6

=2/30

=1/15

15 min

Answer:

760 in^2

Step-by-step explanation:

2(22*10)+2(22*5)+2(5*10) = 760in^2

The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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156 pairs of consecutive integers in {1000,1001,1002,...,2000} is no carrying required when the two integers are added

You will need to consider four cases.

when _999 and _000 are the last three digits of consecutive numbers. Just possible cases are 1999, 2000

At the point when the last 2 digits of the continuous numbers are _ _ 9 9 and _ _ 0 0. 5 possible scenarios (corresponding to (0,1), (1,2), (2,3), (3,4), and (4,5) at the hundredth place) exist.

when the last digit of consecutive numbers is in the form ____ 9 and ____ 0. 5*5 = 25 possible scenarios.

when none fall into that category, possible case=. 5*5*5 = 125,

and the answer is 125+25+5+1 = 156.

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Answer:

31

Step-by-step explanation:

You divide 20 by 20 to get 1.

Then you add 30 + 1 to get 31.

The corresponding z-score is -1.80 (rounded to two decimal places).  The x value corresponding to z = -0.25 is x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50)).

To find the x value corresponding to z = -0.25, we need to use the standard normal distribution table or calculator. First, we calculate the z-score:
z = (x - μ) / (s / sqrt(n))
where μ is the population mean (which we don't know), s is the sample standard deviation, n is the sample size, and x is the value we want to find. Rearranging this formula, we get:
x = μ + z * (s / sqrt(n))
Substituting the given values, we get:
x = μ + (-0.25) * (12 / sqrt(50))
x = μ - 1.697
Now we need to find the corresponding value of x from the standard normal distribution table or calculator. Looking up -1.697 in the table, we find that the corresponding area is 0.0445. Since we're looking for the left-tail area (z < 0), we subtract this area from 0.5 (the total area under the curve):
0.5 - 0.0445 = 0.4555
Looking up 0.4555 in the table (or using a calculator), Therefore, the x value corresponding to z = -0.25 is:
x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50))

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Answers:

10. b. \(\displaystyle 13\)

9. b. \(\displaystyle 20\)

8. a. \(\displaystyle 33\)

7. a. \(\displaystyle 25°\)

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

\(\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x\)

Plug this back into the equation to get \(\displaystyle 13\)on both sides.

9. All edges in a square obtain congruent right angles and edges, so set \(\displaystyle 45\)equivalent to the given expression:

\(\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}\)

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

\(\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}\)

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

\(\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}\)

I am joyous to assist you at any time.

The option she should choose based on the given condition is Option B 2 math questions and 7 science questions.

What are linear inequalities?

When two linear expressions are compared using the inequality symbols, that is an expression of a linear inequality.

Given, Time is taken for solving single math question = 12 minutes

          Time is taken for solving single science question = 5 minutes

Let 'x' be the total number of math questions and 'y' be the total number of science questions.

Then,

The total time taken for 'x' math questions = 12x minutes

The total time taken for 'y' science questions = 5y minutes

So, as defined in the question, we get

Total time she wants to spend practicing < 60 minutes

i. e. 12x + 5y < 60 .................... (i)

Now, we check this condition for each answer choice

A) x = 3 and y = 5, substituting values in equation (i)

So, 12*3 + 5*5 < 60

or, 36+25 < 60

or, 61 < 60 (Not valid)

B) x = 2 and y = 7, substituting values in equation (i)

So, 12*2 + 5*7 < 60

or, 24+35 < 60

or, 59 < 60 (Valid)

So, Option B is valid.

Hence, the required answer of choice is Option B i.e. 2 math questions and 7 science questions.

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Step-by-step explanation:

2  x  2/7   =  (2 x 2) / 7  =   4/7     <=====this is lowest term

Answer:

  rule: f(n) = n³

  missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

  1 = 1·1·1 = 1³

  8 = 2·2·2 = 2³

  27 = 3·3·3 = 3³

  64 = 4·4·4 = 4³

__

The rule is ...

  f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

  1, 8, 27, 64, 125, 216, 343, 512, 729

Answer:

Step-by-step explanation:

ah, yes. I strongly agree qaaqdeytrrytrutyjtadwtryhb bvf

thqanks for the points have a great day B)