What is a perfect 5 pointed star

Step-by-step explanation:

Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).

As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):

1) 512 => 2 partecipants

2) 256 => 4 partecipants

3) 128 => 8 partecipants

4) 64 => 16 partecipants

5) 32 => 32 partecipants

6) 16 => 64 partecipants

7) 8 => 128 partecipants

9) 4 => 256 partecipants

10) 2 => 512 partecipants

The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.

Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.

Answer:

20% of 150 is 30 :)

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[Note: Since the image I attached to my answer uses the variable x, instead of solving for x in your problem, we will be solving for ?]

In this problem, we are shown a special type of right triangle, a 45-45-90 triangle. In these special types of triangles, each leg is x while the hypotenuse is x\(\sqrt{2}\). Now, looking back at the triangle, 12\(\sqrt{2}\) is one of our legs, and must be x. This means that if we multiply 12\(\sqrt{2}\) by \(\sqrt{2}\), we will find the length of ?. So, let's do just that!

x = 12\(\sqrt{2}\)

? = 12\(\sqrt{2}\) * \(\sqrt{2}\)

? = 24

So, the unknown length must be equal to 24.

If this problem helped you, please leave a thanks!

Have a GREAT day!!!

Using Binomial Probability distribution,

the probability that exactly 4 of them never returned any merchandise in 2021 is 4845(0.05)²⁰.

We have given that ,

5% of customers never returned any merchandise.

probability of sucess ( i.e never returned any merchandise) = 5% = 0.05 = p

probability of failure (q) = 1- p = 0.05

Random sample (n) = 20

If X is random variable that customers who never returned any merchandise.

Using Binomial Probability distribution formula,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

The probability that exactly 4 of them never returned any merchandise in 2021 = P(X=4)

= ²⁰C₄ (0.05)⁴ (0.05)¹⁶

= 20×19×18×17/4×3×2× 1 (0.05)²⁰

= 5×6×17×19/2 (0.05)20

= 4845(0.05)²⁰

Hence, the required probability is 4845(0.05)²⁰.

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Complete question:

Suppose 5% of Amazon customers never returned any merchandise in 2021.

if 20 amazon customers are randomly selected, what is the probability that exactly 4 of them never returned any merchandise in 2021?

Answer:

5/8

Total = 5 cup of strawberry + 3 cup of blueberries

=8

1 cup of fruits=8 cup of mix fruits(5 cup of strawberry + 3 cup of blueberries)

=8-3

=5/8

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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Answer:

3x= 2x+18

3x-2×=2×-2×+18

×=18

Answer:

18

Step-by-step explanation:

3x = 2x + 18

3x - 2x = 18

x = 18

Answer: C: 0.4

Step-by-step explanation:

1/5 is 0.2 and double that is 0.4 since there are 2 half hours in an hour :)

Robert's unit rate in miles per hour (mph) is 5.2 miles per hour.

Speed is the change in displacement resulting from the interaction of distance with time.

Speed measures the ratio of distance to time.

Distance covered in 3 miles = 34.5 minutes

Distance to be covered in one hour = 5.217 miles (3/34.5 x 60)

Robert's speed = 5.2 miles per hour.

Thus, Robert's unit rate in miles per hour (mph) is 5.2 miles per hour.

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The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Yes all your used tiles are correct.

Let's solve the equation too

The value of variable x in the equation 2x+4=3x+(-1) is 5.

Equation is a relationship between two or more variables that are expressed in equal to form. Equation of twwo variable looks like ax+y=c. It cab be linear equation, quadratic equation and cubic equation. linear equation has a straight line curve.

We have been given equation 2x4=3x+(-1) and we have to solve the equation. Our equation has only one variable, so we have to solve for that variable only.

2x+4=3x+(-1)

2x+4=3x-1

5=x

Hence the value of x in the equation 2x+4=x+(-1) is 5.

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The correlation coefficient for poor hearing and loud music in a group of people, No, the statement that poor hearing is caused by listening to loud music is not a reasonable conclusion.

A correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient of 0.67 suggests a moderately positive correlation between poor hearing and loud music in the group of people. However, correlation does not imply causation.

The statement that poor hearing is caused by listening to loud music assumes a causal relationship, implying that everyone who listens to loud music will have hearing trouble. This is an overgeneralization and ignores other factors that may contribute to poor hearing. It is possible for people who listen to loud music to have good hearing, and for people who do not listen to loud music to have poor hearing.

Therefore, the reasonable conclusion is that the data does not suggest causation, and many people who listen to loud music can hear well.

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a)The mean of the sampling distribution is equal to the population mean, so it is 6.04 thousand dollars.

b)Standard deviation \(= 26.5 / \sqrt(15) = 6.830\) thousand dollars.

the probability that the mean daily commissions received is between \(\$561,116\)and \(\$697,016\) is approximately \(99.77\% - 0.01\% = 99.76\%.\)

To solve the given questions, we'll use the properties of the normal distribution.

1. Sampling Distribution:

a) Mean of the sampling distribution of the sample mean daily commissions received:

The mean of the sampling distribution is equal to the population mean, so it is 6.04 thousand dollars.

b) Standard deviation of the sampling distribution of the sample mean daily commissions received:

The standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size:

Standard deviation\(= 26.5 / \sqrt(15) = 6.830\) thousand dollars.

2. Probability Calculations:

a) Probability that the mean daily commissions received is more than $581,652:

We'll calculate the z-score using the formula\(\[ z = \frac{{(\$581,652 - \$604)}}{{\left(\frac{{6.830}}{{\sqrt{15}}}\right)}} \approx -3.161 \]\)

Using a standard normal distribution table, we find that the probability is approximately 0.0008, or 0.08%.

b) Probability that the mean daily commissions received is between $561,116 and $697,016:

We'll calculate the z-scores for both values and find the probabilities associated with those z-scores:

\(z_1 = ($561,116 - $604) / (6.830 / \sqrt(15)) = -3.907\)

\(z2 = ($697,016 - $604) / (6.830 / \sqrt(15)) = 2.870\)

Using the standard normal distribution table, we find the probability associated with z1 as approximately 0.0001, or 0.01%, and the probability associated with z2 as approximately 0.9977, or 99.77%.

Therefore, the probability that the mean daily commissions received is between $561,116 and $697,016 is approximately 99.77% - 0.01% = 99.76%.

3. Maximum average daily commissions receivable from the lowest 7.5% volume trading days:

We'll find the z-score corresponding to the lowest 7.5%:

Using a standard normal distribution table, we find the z-score corresponding to the lowest 7.5% as approximately -1.15.

Now we'll find the corresponding value in the original scale:

\(\[ z = \frac{{(x - \mu)}}{\sigma} \]\)

\(-1.15 = (x - 99.7) / 2.9\)

\(x - 99.7 = -1.15 * 2.9\)

\(x - 99.7 = -3.335\)

\(x = 96.365\)

Rounding to the nearest thousand dollars, the maximum average daily commissions receivable is approximately \(\$96,000.\)

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1. a) Mean = $6.04 thousand dollars
  b) Standard deviation = $6.823 thousand dollars
2. a) Probability = 100%
  b) Probability = 100%
3. Maximum average daily commissions receivable = $98,000

1. To determine the mean and standard deviation of the sampling distribution of the sample mean daily commissions received (in thousand dollars), we can use the following formulas:

a) Mean of the sampling distribution = Mean of the population = $6.04
b) Standard deviation of the sampling distribution = Standard deviation of the population / Square root of the sample size

= \(\frac{\$26.5}{\sqrt{15}} = \$6.823\)

2. To find the probabilities, we need to use the z-score formula:

a) To find the probability that the mean daily commissions received is more than $581,652, we first need to find the z-score.

The z-score formula is given by:

\(z = \frac{x - \mu}{\frac{\sigma}{\sqrt{n}}}\),

where x is the value we want to find the probability for, μ is the mean of the population, σ is the standard deviation of the population, and n is the sample size.

z = \(\frac{\$581,652 - \$6.04}{\left(\frac{\$26.5}{\sqrt{15}}\right)}\)

z = 21518.78

Using a standard normal distribution table or a calculator, we find that the probability is approximately 1.

b) To find the probability that the mean daily commissions received is between $561,116 and $697,016, we need to find the z-scores for both values.

z₁ = \(\frac{(\$561,116 - \$6.04)}{\left(\frac{\$26.5}{\sqrt{15}}\right)}\)

z₁ = 20618.03

z₂ = \(\frac{\$697,016 - \$6.04}{\left(\frac{\$26.5}{\sqrt{15}}\right)}\)

z₂ = 25618.23

Using the standard normal distribution table or a calculator, we find that the probability is approximately 1.

3. To find the maximum average daily commissions receivable from the lowest 7.5% volume trading days, we need to find the z-score that corresponds to a cumulative probability of 0.075.

Using the z-score formula and rearranging it to solve for x, we have: \(x = z \cdot \left(\frac{\sigma}{\sqrt{n}}\right) + \mu\)

First, we find the z-score using the standard normal distribution table or a calculator. For a cumulative probability of 0.075, the z-score is approximately -1.405.

Then, we plug in the values to find x:

x = \(-1.405 \cdot \left(\frac{$2.9}{\sqrt{29}}\right) + $99.7\)

x = $98.324

Rounding to the nearest thousand dollars, the maximum average daily commissions receivable from the lowest 7.5% volume trading days is $98,000.

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The result of combination of the exponential expressions to produce a single exponential expression is given by e²ˣ⁺¹.

We know that from the formulae of the exponent that,

aᵐ*aⁿ = aᵐ⁺ⁿ

aᵐ/aⁿ = aᵐ⁻ⁿ

(aᵐ)ⁿ = aᵐⁿ

where a, m, n are the any constants.

So here given that the expression is: eˣeˣ⁺¹

Here base is same which is 'e' (the exponential component) and exponentials are in multiplication so the powers of them will be added to each other.

eˣeˣ⁺¹ = eˣ⁺ˣ⁺¹ = e²ˣ⁺¹

Hence simplifying and converting the two exponentials into one exponential expression we get the result of e²ˣ⁺¹.

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The question is incomplete. The complete question will be -

"Combine the exponential expressions to produce a single exponential expression: eˣeˣ⁺¹"

The average velocity for the time interval t=0 to t=10.0 s is 9.5 m/s. The instantaneous velocity at t=0 is 0 m/s. The instantaneous velocity at t=5.00 s is 15.5 m/s. The instantaneous velocity at t=10.0 s is 10 m/s. The car is again at rest after approximately 1.88 seconds.

The problem provides a position function x(t) for a car traveling along a straight road.

To calculate the average velocity of the car for the time interval t=0 to t=10.0 s, we need to find the change in position (Δx) over the change in time (Δt) within that interval.

We can calculate Δx by subtracting the initial position x(0) from the final position x(10.0). The average velocity is then given by the formula Δx/Δt.

To calculate the instantaneous velocity at a specific time t, we need to find the derivative of the position function with respect to time.

Taking the derivative of x(t) = bt^2 - ct^3 gives us the velocity function v(t) = 2bt - 3ct^2.

To find the instantaneous velocity at t=0, we substitute t=0 into the velocity function and solve for v(0). Similarly, to find the instantaneous velocity at t=5.00 s, we substitute t=5.00 into the velocity function and solve for v(5.00).

Lastly, to find the instantaneous velocity at t=10.0 s, we substitute t=10.0 into the velocity function and solve for v(10.0).

To determine the time when the car is again at rest, we need to find the value of t when the velocity v(t) is equal to zero.

We solve the equation 2bt - 3ct^2 = 0 to find the value of t at which the car comes to rest again.

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The similarity ratio of these triangles is 3 : 4

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

The triangles

The corresponding sides of the triangles are

Sides = 15 and 20

When represented as a ratio, we have

Ratio = 15 : 20

Simplify

Ratio = 3 : 4

Hence, the ratio is 3 : 4

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This question is not a good question to ask, it is confusing, and is to complex, In brainly you are supposed to post 1 question at a time not 2 in 1 3in 1 4 in 1 e.t.c.

Sorry i couldnt help you, if you were to post separate questions i would be able to

\(cosec18°= \frac{perpendicular}{base} \\ cosec18°= \frac{25}{x} \\ \\ \ \: since: cosec18°=0.9511 \\ \\ 0.9511 = \frac{25}{x} \\ x = \frac{25}{0.9} = 26\)

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Answer:

?

Step-by-step explanation:

54,675+33,548,000x^1+a^2=

get rid of ^1 cuz that doesn't change the value

a^2 can be written as 2a because a^2= a*a and 2a= a*a

54,675+33,548,000x+2a

54,675+33,548,000x= -2a-54675

33,548,000x=-2a-54675

16774000x=-a-27337.5

x=-a - 27337.5

x=-a-27337.5/ 16774000

I obviously know this isn't a real question but here

Answer:

Step-by-step explanation:hey Karlie

Answer:

\((3x + 4)^{2}\)

Step-by-step explanation:

3 times the number they thought of:

3x

add 4:

3x + 4

square the result:

\((3x + 4)^{2}\)

Answer:

c. 112 ft

Step-by-step explanation:

the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).

and this means we can use Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle).

diagonal² = 100² + 50² = 10000 + 2500 = 12500

diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft

Step-by-step explanation:

What type of line the picture represent

Answer:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

3) 2 × 9² - 7 - 7 - 5 - 1 = 142

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Step-by-step explanation:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1

3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142

Multiply 2 by 9 raised to the power of 2 then subtract  the sum of 7, 7, 5 and 1

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.

The monthly payment for a salary loan of 70,000 pesos at a 10% annual interest rate compounded monthly for 18 months is approximately 4,530.79 pesos.

To calculate the monthly payment for the salary loan, we can use the formula for the equal payment amount in an amortizing loan:

Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-n))

Where:

Principal = 70,000 pesos (loan amount)

Monthly Interest Rate = Annual Interest Rate / 12 = 10% / 12 = 0.0083333

n = number of payments (18 months)

Let's calculate the payment amount:

Payment = (70,000 * 0.0083333) / (1 - (1 + 0.0083333)^(-18))

Payment = 4,530.79 pesos

Therefore, the monthly payment for the salary loan is approximately 4,530.79 pesos.

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The measure angle EBF is (5b-24)°.

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

Give that, m∠ABF =(7b-24)° and m∠ABE =2b°.

From the figure,

m∠ABF =m∠ABE + m∠EBF

(7b-24)°=2b° + m∠EBF

m∠EBF = 7b-24-2b

m∠EBF = (5b-24)°

Therefore, the measure angle EBF is (5b-24)°.

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To correct for heteroskedasticity, one can use techniques such as weighted least squares or robust regression. If β4 is statistically significant, it means that the effect of beauty on ln(wage) is different for women and men. Multicollinearity refers to the situation where two or more predictor variables in a regression model are highly correlated with each other. A common test for heteroskedasticity is the White test.

a) In order to test whether the effect of beauty on ln(wage) is different for women than for men, an interaction term should be added to the model. Here is the model with the interaction term:

ln(wage) = β0 + β1(beauty) + β2(exper) + β3(age-20) + β4(beauty × female) + u

where female is an indicator variable that takes the value 1 if the person is a woman and 0 if the person is a man.

The coefficient β4 measures the difference in the "beauty-effect" between women and men. If β4 is statistically significant, it means that the effect of beauty on ln(wage) is different for women and men.

b) Multicollinearity refers to the situation where two or more predictor variables in a regression model are highly correlated with each other. This can cause problems in estimating the model coefficients, as it makes it difficult to determine the effect of each predictor variable separately. To correct for multicollinearity, one can use techniques such as ridge regression or principal component regression.

c) A common test for heteroskedasticity is the White test. To perform this test, we first estimate the model and obtain the residuals, then we regress the squared residuals on the predictors and their squares. If any of the coefficients on the squared predictors are statistically significant, it means that there is evidence of heteroskedasticity.

Complete Question: Suppose you want to estimate the following relationship: ln( wage )=β 0​+β 1 beauty +β 2 exper +β 3( age −20)+u where beauty = physical attractiveness of a worker, exper = number of years of experience, age = number of years. (a) Your friend told you that the "beauty-effect" on ln (wage) is more on women. How would you incorporate and test this in your model? Assume that you know the gender of each person in the data. (b) How would you estimate the model correcting for multicollinearity? (c) How would you test the hypothesis that the error term in (1) is heteroskedastic? How would you estimate the model correcting for heteroskedasticity?

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Answer:

165

Step-by-step explanation:

formula is

nCr = n!/(r!(n−r)!)

r= 8 = number of choosing objects from the set

n = 11 = total number of objects in the set

C(n,r)=C(11,8)

=11!/(8!(11−8)!)

! means factorial

factorial means to multiply by decreasing positive numbers.

For example, 8! = 8 ∗ 7 ∗ 6 ∗ 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 40320

=11!/8!×3!

= 165

massedu

The possible number of groups is 168

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Given that, A blood bank needs 8 people to help with a blood drive. 11 people have volunteered.

nCr = n!/(r!(n−r)!)

r = 8 = number of choosing objects from the set

n = 11 = total number of objects in the set

C(n,r) = C(11,8)

= 11!/(8!(11−8)!)

= 11!/8!×3!

= 165

Hence, the possible number of groups is 168

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