Find the area of an equilateral triangle with a side of 6 inches.
a. 4.5√3 in²
b. 9√3 in²
c. 6√3 in²

Answer:

12

Step-by-step explanation:

can you please answer my question too? it is due soon

Answer:

x = 12

Step-by-step explanation:

1/2x-5=10-3/4x

add 5 to both sides

1/2x=15-3/4x

add 3/4x to both sides

1/2x + 3/4x = 15

2/4x + 3/4x = 15

5/4x = 15

divide both sides by 5/4

x = 15 * 4/5

x = 60/5

x = 12

To determine the sample size needed to estimate the proportion of crimes in which firearms are used within a certain margin of error and confidence level, we can use the following formula:

n = (\(Z^2\) * p * (1 - p)) / \(E^2\)

where:

n is the sample size

Z is the Z-score associated with the desired level of confidence (1.645 for 90% confidence)

p is the estimated proportion of successes in the population (we don't have an estimate, so we'll use 0.5, which gives the maximum sample size)

E is the desired margin of error

Substituting these values into the formula, we get:

n = (\(1.645^2\) * 0.5 * (1 - 0.5)) / 0.0\(2^2\)

n = 601.41

Rounding up to the nearest integer, we get a sample size of 602. Therefore, the U.S. Crime Commission should sample at least 602 crimes to estimate the proportion of crimes in which firearms are used within 0.02 with 90% confidence.

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(a) The horizontal velocity of the dart remains constant throughout its motion, so it will take 0.24 seconds to reach the target (since distance = speed × time)  and the dart will fall a distance of 0.28 m

During this time, the dart will also be accelerating downwards due to gravity at a rate of 9.81 m/s². The vertical distance fallen can be calculated using the formula: distance = ½ × acceleration × time². Thus, the dart will fall a distance of:

distance = ½ × 9.81 m/s² × (0.24 s)² ≈ 0.28 m

Therefore, the dart will hit the board 0.28 meters below the intended target.

(b) This calculation suggests that even highly skilled dart players may not hit the bull's-eye every time, due to the influence of gravity on the dart's trajectory.

However, skilled players can adjust their aim and release the dart with the correct velocity and angle to hit their target consistently. They may also use techniques such as "aiming high" to compensate for the effect of gravity. Overall, this calculation highlights the importance of understanding the physics of projectile motion in the sport of darts.

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The true value of the standard deviation may be in the interval of (0.12, 0.3757), it may or may not be 0.12 Ω.

Calculation of a 95% two-sided confidence interval for standard deviation of resistance, σ95% two-sided confidence interval for standard deviation of resistance is given by:\[\left(\sqrt{\frac{\left(n-1\right)s^2}{\chi_{0.025,n-1}^2}},\sqrt{\frac{\left(n-1\right)s^2}{\chi_{0.975,n-1}^2}}\right)\]where s = 0.194 Ω, n = 15, and Χ² distribution with df = 14 at α = 0.05/2 = 0.025/0.975The range of the 95% two-sided confidence interval for the standard deviation of resistance is given as follows:95% two-sided confidence interval for standard deviation of resistance = (0.12, 0.3757)Hence, the 95% two-sided confidence interval for the standard deviation of resistance is given as (0.12, 0.3757).b) Explanation:The standard deviation of the resistance is believed to be 0.12 Ω. From the 95% confidence interval obtained in part (a), 0.12 Ω is not within the 95% confidence interval. This means it is not reasonable to believe that the standard deviation of all resistors produced is 0.12 Ω. Since the true value of the standard deviation may be in the interval of (0.12, 0.3757), it may or may not be 0.12 Ω.

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solving value mixture problems involves finding the amount of two or more substances mixed together to create a desired mixture. These problems can be solved using a linear equation calculator by setting up an equation based on the given information and solving for the unknown variable.

Value mixture problems involve finding the amount of two or more substances mixed together to create a desired mixture. These problems can be solved using a linear equation calculator. Here's a step-by-step explanation of how to solve a value mixture problem using a linear equation calculator:

By following these steps and using a linear equation calculator, you can solve value mixture problems efficiently and accurately.

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A value mixture problem using a linear equation calculator is solved by considering an appropriate example which is described below.

To solve a value mixture problem using a linear equation calculator,

We need to take an example as follows:

Suppose you have a 10% saline solution and a 20% saline solution,

Then how much of each should you mix to create 100 mL of a 15% saline solution?

To solve this problem using a linear calculator,

we can set up two equations:

Let x be the amount of the 10% saline solution to use, and y be the amount of the 20% saline solution to use.

The first equation represents the total volume of the mixture:

x + y = 100

The second equation represents the percentage of saline in the mixture:

0.1x + 0.2y = 0.15(100)

Simplifying the second equation, we get:

0.1x + 0.2y = 15

Now solve for one variable in terms of the other.

Solve for x in terms of y:

x = 100 - y

Substituting this into the second equation, we get:

0.1(100 - y) + 0.2y = 15

Simplifying and solving for y, we get:

y = 50 mL

Therefore, the amount of the 10% saline solution to use is:

x = 100 - y = 50 mL

So we need to mix 50 mL of the 10% saline solution with 50 mL of the 20% saline solution to create 100 mL of a 15% saline solution.

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Answer:

(-5/2, -33/4)

Step-by-step explanation:

-b/2a

-5/2 = x

f(-5/2) = (-5/2)^2 + 5(-5/2)-2 = -33/4

Answer: the picture is blurry but it would be the third option. One box out of three shaded.

Step-by-step explanation:

33 1/3 is one third of 100.

Choose the picture that has 1 out of three boxes shaded. This would represent one third.

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

Answer:

32 seconds

Step-by-step explanation:

Answer:

2.5 meters in a second.

Step-by-step explanation:

I'm assuming it's how many meters per second.

meters : seconds

  40     :      16

  10      :       4

  2.5    :     1

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

The point estimate of the difference between the two population proportions is 0.024.

The point estimate of the difference between two population proportions can be calculated using the following formula:

\(\hat{p}1 - \hat{p}2 = (x1/n1) - (x2/n2)\)

where \(\hat{p1}\) and \(\hat{p2 }\) are the sample proportions, x1 and x2 are the number of failures in each sample, and n1 and n2 are the sample sizes.

Using the given data:

\(\hat{p1}\)  = 53/400 = 0.1325

\(\hat{p2 }\) = 51/470 = 0.1085

n1 = 400

n2 = 470

Substituting these values into the formula, we get:

\(\hat{p1}-\hat{p2}\)  = (0.1325) - (0.1085) = 0.024.

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The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

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Ms. Leon will have a total of $840 in her savings account by the end of 4 years.

To calculate the total amount that Ms. Leon will have in her account at the end of 4 years with simple interest, we can use the following formula:

A = P(1 + rt)

where:

A = the total amount in the account at the end of the time period

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

t = the time period (in years)

Putting in the given values, we get:

A = 750(1 + 0.03 × 4)

A = 750(1.12)

A = $840

Therefore, at the end of 4 years, Ms. Leon will have a total of $840 in her savings account.

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Answer:

$1.25

Step-by-step explanation:

3.75 x 5 = 18.75

20-18.75 = 1.25

Answer:  $1.25

Step-by-step explanation: Megan bought five boxes of cookies. Each box is $3.75. Multiply $3.75 by 5. Your answer is $18.75.

She has $20. Subtract $20.00 minus $18.75.

Her change is $1.25.

The efficiency of a probability sampling technique may be assessed by comparing it to that of non-probability sampling techniques.

Probability sampling is a method of selecting participants randomly from a population, which ensures that every individual has an equal chance of being included in the sample.

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Answer:

Nobody ever said having faith would be easy, but it will be worth it and here is why.

He knows better than we do. God knows everything we are going through at this very moment and everything we will go through in the future. ...

All Things Are Possible With God.

He Is Worthy Of Our Trust.

He Knows What He Is Doing.

He is the creator of the universe

he exited before the heavens and earth

He is our father and the father of our ancestors

He has performed many miracles

He is the God who answers all prayers if you believe.

He is the one who stands by you in any situation, in good times and bad

He is a merciful, understandable and dependable God

What he says he'll do, that is what he'll do

True. Small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

Small p-values indicate that the observed sample data provides strong evidence against the null hypothesis. The p-value is a measure of the strength of evidence against the null hypothesis in a hypothesis test. It represents the probability of observing the obtained sample data, or more extreme data, if the null hypothesis is true.

When the p-value is small (typically less than a predetermined significance level, such as 0.05), it suggests that the observed sample data is unlikely to have occurred by chance under the assumption of the null hypothesis. In other words, a small p-value indicates that the observed data is inconsistent with the null hypothesis.

Conversely, when the p-value is large (greater than the significance level), it suggests that the observed sample data is likely to occur by chance even if the null hypothesis is true. In such cases, there is not enough evidence to reject the null hypothesis. Therefore, small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

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Answer:

15 track practices

Step-by-step explanation:

because 23 minus the 7 she already ran is 15 which she runs 1 each practice

Answer:

16

Step-by-step explanation:

because if you minus 7 from 23 you get 16 so she would have to have 16 practices

Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

The mean and standard deviation of the population is 19.8 and 0.004 respectively.

Mean:

The mean is the simple mathematical average of a set of two or more numbers. The mean of a given set of numbers can be calculated in several ways, including the arithmetic mean, which uses the sum of the numbers in the range, and the geometric mean, which takes the mean product of a set. However, all major methods of calculating simple averages produce the same approximate result most of the time.

Standard Deviation:

In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values.  A low standard deviation indicates that the values ​​tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values ​​are spread over a wider range.

Given that:

E(x) = μ = 19.8

var(x) = σ²/n = 0.2/50 = 0.004

from here can say that mean = 19.8 and

standard Deviation is 0.004.

Now,

295 -298 P(Bottle x < 295) =P(Z< ) =-1.00 =.15873

Thus, there is nearly a 16% probability that just 1 randomly selected

bottle contains < 295 ml.

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Two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

The two given rational numbers are −7/2 and 4/3.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Now, two rational numbers between −7/2 and 4/3 can be found as follows:

Make denominators the same by taking the LCM of denominators.

LCM of 2 and 3 is 6.

Change denominators of both the rational numbers to 6 by multiplying the same number by numerator and denominator.

So, the rational numbers become −21/6 and 8/6.

Now, two rational numbers between −21/6 and 8/6 are -20/6 and 7/6.

Therefore, two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

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Correct option is D. By illustrating his point within a particular context

The author responds to the question posed in lines 3-9 by telling a story from Tanaina culture and then explaining the said story within the cultural framework of the Tanaina people. Within this context, we can conclude that the author responds to the question posed in lines 3-9 by illustrating his point within a particular context.

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The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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Answer:

its b easy dubs

Step-by-step explanation:

Answer:

they are not similar. their one angle is only equal

Answer:

$500

Step-by-step explanation:

let x = price of the dress before reductions

If the price is reduced by 60%, the price would be (100% - 60%) = 40%

Price after first reduction=  0.4x

Price after second reduction = 0.4(0.4x)

0.16x = $80

Divide both sides by 0.16

x = $500

Answer:

3

Step-by-step explanation:

it's 3

I'm positive

I just did this

a) We do not have sufficient evidence to conclude that there is a significant difference in the proportion. b) We have sufficient evidence to conclude that there is a difference in the proportion using hypothesis.

To determine if there is a difference in the proportion of women and men who say "Executives are paid too much," we can conduct hypothesis tests. Let's analyze the cases separately:

a) If the preceding percentages resulted from two samples of size 20 each, we can use a two-sample proportion test. Here are the assumptions, hypotheses, and conclusions for the test:

Assumptions:

The samples of women and men MBA students are randomly selected.

The responses of the students are independent of each other.

Both sample sizes are reasonably large (n ≥ 10), so we can approximate the sampling distribution using a normal distribution.

Hypotheses:

Let p1 represent the proportion of women MBA students who say "Executives are paid too much," and p2 represent the proportion of men MBA students who agree.

Null Hypothesis (H0): p1 = p2 (There is no difference in the proportions between women and men)

Alternative Hypothesis (Ha): p1 ≠ p2 (There is a difference in the proportions between women and men)

Significance Level: α = 0.05 (5%)

Test Statistic and Distribution:

Since we have two independent samples, we can use the two-sample z-test for proportions. The test statistic follows a standard normal distribution.

Calculations and Conclusion:

Given the percentages: p1 = 0.6 (women) and p2 = 0.5 (men).

First, calculate the standard error of the difference in proportions:

SE = √((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

SE = √((0.6 * 0.4 / 20) + (0.5 * 0.5 / 20))

SE ≈ 0.126

Next, calculate the test statistic (z-score):

z = (p1 - p2) / SE

z = (0.6 - 0.5) / 0.126

z ≈ 0.792

Since we are testing for a difference in proportions, we use a two-tailed test. The critical values for a two-tailed test at a significance level of 0.05 are approximately -1.96 and 1.96.

As the calculated test statistic (0.792) is within the range -1.96 to 1.96, we fail to reject the null hypothesis.

b) To determine if there is a difference in the proportion of women and men who say "Executives are paid too much," we can conduct a hypothesis test. Here are the assumptions, hypotheses, and conclusions for the test:

Assumptions:

The samples of women and men MBA students are randomly selected.

The students in both samples are representative of their respective populations.

The responses of students are independent of each other.

Hypotheses:

Let p1 represent the proportion of women MBA students who say "Executives are paid too much,"

and p2 represent the proportion of men MBA students who say the same.

Null Hypothesis (H0): p1 = p2 (There is no difference in the proportions between women and men)

Alternative Hypothesis (Ha): p1 ≠ p2 (There is a difference in the proportions between women and men)

Significance Level: α = 0.05 (5%)

Test Statistic and Distribution:

Since we are comparing two proportions, we can use a two-sample z-test.

Calculations and Conclusion:

Given:

p1 (proportion of women) = 0.6

p2 (proportion of men) = 0.5

n1 (sample size of women) = n2 (sample size of men) = 500

First, calculate the test statistic (z-score):

z = ((p1 - p2) - 0) / √((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

z = ((0.6 - 0.5) - 0) / √((0.6 * (1 - 0.6) / 500) + (0.5 * (1 - 0.5) / 500))

z ≈ 3.16

Using a standard normal distribution table or a statistical software, we find the critical z-values for a two-tailed test with a significance level of 0.05 to be approximately -1.96 and 1.96.

Since the calculated test statistic (3.16) is more extreme than the critical values (-1.96 and 1.96), we reject the null hypothesis.

Conclusion:

Based on the given data and a significance level of 0.05, we have sufficient evidence to conclude that there is a difference in the proportion of women and men who say "Executives are paid too much." The difference is statistically significant.

Conclusion:

Based on the given data and a significance level of 0.05, we do not have sufficient evidence to conclude that there is a significant difference in the proportion of women and men MBA students who say "Executives are paid too much" when the sample sizes are 20 each.

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Answer:

150 miles

Step-by-step explanation:

60*2.5=150