The triangles are congruent by




1. AAS


2. ASA


3. SSS

The least amount we can charge for each CD to make a $100 profit depends on the number of CDs sold. The revenue per CD will decrease as the number of CDs sold increases.

According to Problem 2, we want to find the minimum amount we can charge for each CD to make a $100 profit. To determine this, we need to consider the cost and revenue associated with selling CDs.

Let's say the cost of producing each CD is $5. We can start by calculating the total revenue needed to make a $100 profit. Since the profit is the difference between revenue and cost, the revenue needed is $100 + $5 (cost) = $105.

To find the minimum amount we can charge for each CD, we need to divide the total revenue by the number of CDs sold. Let's assume we sell x CDs. Therefore, the equation becomes:

Revenue per CD * Number of CDs = Total Revenue
x * (Revenue per CD) = $105

To make it simpler, let's solve for the revenue per CD:
Revenue per CD = Total Revenue / Number of CDs
Revenue per CD = $105 / x

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Answer:

y = -2x-5

Step-by-step explanation:

So to calculate the slope the equation is y1-y2/x1-x2. We substitute in two points, let's use (-3,1) as x1 and y1, and (1,-7) as x2 and y2. Put those points in the equation and you get -7-1/1-(-3), which is -2. Now you have y=-2x+b

To get b plug in a pair of points to the equations, say (1,-7). -7=-2(1)+b, solve that and you get b=-5.

So y=-2x-5.

The cosine of angle A in the figure is given as follows:

cos(A) = 0.6.

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For angle A, we have that:

Hence the cosine of angle A is given as follows:

cos(A) = 6/10

cos(A) = 0.6.

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The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

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Answer:

what is the difference between 880 and 580

Answer:

C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.

Step-by-step explanation:

Since there is one value of  y  for every value of  x  in  {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.

The correct option is the third one; (14, 4); The vertex represents the maximum profit.

For a general quadratic equation

y = ax² + bx + c

The vertex is at the x-value:

x = -b/2a

Here the quadratic function is:

f(x)=  -x² + 28x - 192

The vertex is at:

x = -28/2*-1 = 14

Evaluating in x= 14 we get:

f(14) = -14² + 28*14 - 192 = 4

So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.

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The answer is c) 50%. A random sample means that each member has an equal chance of being selected. This means that out of a sample size of any number, the percentage of members selected will always be 50%.

For example, if we have a random sample of 100 members, 50 of them will be selected. This principle applies to any population size, regardless of whether it's 10 or 10,000. It's important to note that this applies only to random samples, as non-random samples can have a biased selection process which affects the percentage of members selected. In summary, the percent of members in a random sample that have an equal chance of being selected is always 50%.

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Its standard deviation is greater than that of the population of scores is not the characteristic of the random sampling distribution of means.

The correct answer is D. its standard deviation is greater than that of the population of scores.


The random sampling distribution of means is a distribution of the means of multiple samples taken from a population. It has the following characteristics:

A. it tends to resemble the normal curve irrespective of the shape of the population of scores: This is true because of the Central Limit Theorem, which states that as the sample size increases, the sampling distribution of means approaches a normal distribution.

B. its mean is the same as the mean of the population of scores: This is also true, as the mean of the sampling distribution of means is equal to the population mean.

C. its standard deviation changes with variation in sample size: This is true, as the standard deviation of the sampling distribution of means is equal to the population standard deviation divided by the square root of the sample size. As the sample size changes, so does the standard deviation of the sampling distribution of means.

D. its standard deviation is greater than that of the population of scores: This is NOT true, as the standard deviation of the sampling distribution of means is actually smaller than the population standard deviation. This is because the larger the sample size, the closer the sample means will be to the population mean, resulting in a smaller standard deviation.

Therefore, the correct answer is D. its standard deviation is greater than that of the population of scores.

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To calculate the p-value, we need to use a one-tailed t-test since we're interested in the probability of getting a sample mean greater than 12.10 oz.

First, we need to calculate the t-statistic:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (12.15 - 12.10) / (0.05 / sqrt(25))

t = 3.1623

Next, we need to find the degrees of freedom, which is the sample size minus one:

df = 25 - 1 = 24

Using a t-distribution table with 24 degrees of freedom and a significance level of 0.01, we find that the critical value is 2.492.

Since the calculated t-value (3.1623) is greater than the critical value (2.492), we can reject the null hypothesis and conclude that there is evidence that the mean volume is greater than 12.10 oz.

To find the p-value, we need to calculate the probability of getting a t-value greater than 3.1623 with 24 degrees of freedom:

p-value = P(t > 3.1623) = 0.0028 (calculated using a t-distribution table or software)

Therefore, the p-value is 0.0028, which is less than the level of significance (0.01), indicating strong evidence against the null hypothesis.

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Answer:

\(V=90\)

Step-by-step explanation:

Step 1:  Find the volume of the cone

\(V = \frac{\pi *r^{2}*h}{3}\)

Plug in the values

\(V = \frac{\pi *3^{2}*10}{3}\)

Simplify and Solve

\(V = \frac{\pi *9*10}{3}\)

\(V = \frac{90\pi }{3}\)

\(V = \frac{90*3 }{3}\)

\(V=90\)

Answer:  \(V=90\)

Answer:

The answer is

110.4 in1d.p

110 to the nearest whole number

110.40 to the nearest hundredth

Step-by-step explanation:

48×2.3=110.4 in 1.d.p

Answer:

Remove parentheses.

y-10=-3\times -2y−10=−3×−2

2 Simplify 3\times -23×−2 to -6−6.

y-10=-(-6)y−10=−(−6)

3 Remove parentheses.

y-10=6y−10=6

4 Add 1010 to both sides.

y=6+10y=6+10

5 Simplify 6+106+10 to 1616.

y=16y=16

Discount is 0.354838, Discount percentage is 35.4838 %.

According to the question

A shop item is marked down from r 6.20 to r 4.

A discount is an amount that is subtracted from the regular price of an item.

Based on the given conditions

= \(\frac{6.2-4}{6.2}\)

Solving 6.2 - 4, we get 2.2

= 2.2/6.2

Discount = 11/31 = 0.354838

Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80.

Discount percentage = \(\frac{11}{31}\) × 100

= 35.4838 %

Hence,

Discount is 0.354838, Discount percentage is 35.4838 %.

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The reflection of triangle with respect to y axis is P'(-3,-2). Q'(1, -2), R'(-2,7)

How does reflection relate to the y axis?

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

What does a reflection mean in mathematics?

A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

For the reflection we need to see first the axis then we will fix that coordinate of the axis like in this case we have y axis so y coordinates will be fix and for x coordinate we will do in opposite direction like for 3 it will be -3 , for -1 it will be 1 and for 2 it will be -2

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The equivalent expression of the perimeter of the regular hexagon is,

⇒ 42x + 24

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

A regular hexagon has six congruent sides.

And, The length of each side is represented by the expression (7x + 4).

Now, We know that;

The sum of all sides of a regular hexagon is called its perimeter.

Hence, We get;

Here, The length of each side is represented by the expression 7x + 4.

So, We get;

The perimeter of Hexagon = 6 × (7x + 4)

                                          = 42x + 24

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Using multiplication principle of counting, Argyle can make 140 different outfits.

Argyle has 10 T-shirts and 7 pairs of shorts, which he can wear with either sandals or sneakers. To find out how many different outfits he can make, we can use the multiplication principle of counting, which states that the total number of outcomes for a sequence of events is the product of the number of outcomes for each event.

First, we need to determine the number of ways Argyle can choose a T-shirt and a pair of shorts. He can choose one of 10 T-shirts and one of 7 pairs of shorts, giving us:

10 x 7 = 70

Next, we need to determine the number of ways Argyle can choose shoes. For each outfit, he can choose either sandals or sneakers, giving us:

shoes = 2

Finally, we can find the total number of different outfits by multiplying the number of ways to choose a T-shirt and shorts by the number of ways to choose shoes:

70 x 2 = 140

Therefore, Argyle can make 140 different outfits if all the colors and patterns coordinate.

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Answer:

502cm

Step-by-step explanation:

brainliest maybe?

Answer:

502cm

Step-by-step explanation:

Checked on Khan

The required orders are Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

An equation that holds true for one or more values of the variable but holds false for other values of the variable is known as a conditional equation. In Hannah's example, the equation holds true for the value of x equal to 10, but not for other values, such as 1. The equation is a conditional equation as a result.

Let we consider the number of orders Kara served as x.

Then, Harry served x + 10 orders and Erin served 4x orders.

The total number of orders they served is x + x + 10 + 4x = 86 orders.

So, 6x + 10 = 86

6x = 76

x = 12.5

Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

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Answer:

Step-by-step explanation:

Let the orders served by Kira be k.

Orders served by Henry= 10 less than Kira

                                       = k-10

Orders served by Erin= 4 times of Kira

                                   = 4k

Total orders served= 86

     Kira+Henry+Erin= 86

               k+k-10+4k= 86

                       6k-10= 86

                            6k= 86+10

                            6k= 96

                              k= 96/6

                              k= 16

Kira= k= 16

Henry= k-10= 16-10= 6

Erin= 4k= 4x16= 64

∴ Kira served 16 orders, Henry served 6 orders & Erin served 64 orders

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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Answer:

A.

Step-by-step explanation:

They are same side interior angles. Angle A measures 55°.

PLEASE MARK IT AS BRAINLIEST

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

just is

The arithmetic mean of the two fractions is 68/35.

The arithmetic mean can be calculated using the mentioned formula -

Arithmetic mean = sum of the numbers / frequency of numbers.

Sum of the fractions = 2/5 + 4/7

Performing division of the two numbers

Sum of the fractions = (14 + 20)/35

Sum of the fractions = 34/35

Arithmetic mean = (34/35)/2

Rewriting the average

Arithmetic mean = (34 × 2)/35

Performing multiplication on Right Hand Side of the equation

Arithmetic mean = 68/35

Hence, the Arithmetic mean is 68/35.

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Answer:

Step-by-step explanation:

1. (x+6)(x+6) expand the brackets to x²+6x+6x+36 then if you need to simplify add the 6x +6x= 12x

2. (x+8)(x-5) expand to x²-5x+8x-45 then if needed simplify by adding -5x + 8x=3x

3. (x-5)(x-2) expand the brackets to x²-2x-5x+10 if you need to simplify take the -5x + -2x=-7

Answer:

I will be needing a picture for this question. However, here is a formula to help you out! y2-y1/x2-x1    (the Xs are on the bottom, and the Ys are on the top. Pick an 2 ordered pairs, and then put them like the formula. X2  and Y2 are an ordered pair, same for X1 and Y1.) Hope this helped ;)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Antibodies are immune system-related proteins called immunoglobulins.

Proteins are made up of amino acids, which are small organic molecules made up of carbon, hydrogen, nitrogen, and oxygen.

Hope that helps.

Answer:

S.A. = 138.16

Step-by-step explanation:

S.A. = πrl+πr²

3.14 x 4 = 12.56

12.56 x 7 =87.92

3.14 x 4 = 12.56

12.56 x 4 = 50.24

87.92 + 50.24 = 138.16

Let me know if this helps!

When more than one adjustment is required on a worksheet, the adjustment can be added to a blank line and the adjustment can be combined into one adjustment amount. Option b and d is correct.

The adjustment can be added to a blank line if there is an available blank line on the worksheet, each adjustment can be separately added to its own line, ensuring clarity and organization.

The adjustment can be combined into one adjustment amount instead of listing each adjustment separately, it is also possible to combine them into a single adjustment amount. This is appropriate when the individual adjustments are related or impact the same account.

So the correct options are B and D.

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You need 1.8 lbs of the type of chocolate that sells for $2.50/lb and 6.6 lbs of the type of chocolate that sells for $3.60/lb.

A set or group of equations that are solved collectively is referred to as a system of equations. Both algebraic and visual solutions are possible for these problems. The intersection of two lines represents the system of equations' solution.

let

x = lbs of the type of chocolate that sells for $2.50/lb

y = lbs of the another type of chocolate that sells for $3.90/lb

You would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb

x + y = 8.4

2.50x + 3.90y = 8.4 x 3.60

2.50x + 3.90y = 30.24

Putting the value of x = 8.4 - y in equation 2.

2.50( 8.4 - y) + 3.90y = 30.24

21 - 2.5y + 3.9 y = 30.24

1.4y = 9.24

y = 6.6

Putting y in x equation we get,

x = 1.8

by solving the above system of equations we find:

x = 1.8 lbs

y = 6.6 lbs

Therefore, each chocolate will you need to obtain the desired mixture is 1.8 lbs and 6.6 lbs.

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