Now you will attempt to copy your original triangle using one of its angles:
Draw a line segment, DE of any length anywhere on the coordinate plane, but not on top of ∆ABC.
Choose one of the angles on ∆ABC. From point D, create an angle of the same size as the angle you chose. Then draw a ray from D through the angle. You should now have an angle that is congruent to the angle you chose on ∆ABC.
Create a point anywhere outside the mouth, or opening, of the angle you created. The point will initially be named F by the tool, but you should rename it point G. Now draw a ray from E through G such that it intersects the first ray. Your creation should be a closed shape resembling a triangle.
Label the point of intersection of the two rays F, and draw ∆DEF by creating a polygon through points D, E, and F.
Click on point G, and move it around. By moving point G, you can change
DEF and EFD while keeping FDE fixed.
Take a screenshot of your results for one position of G, save it, and insert the image in the space below.

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

Answer:

D

Step-by-step explanation:

When exponents are multiplied by exponents, they add together and leave the base untouched.

Answer:

B

Step-by-step explanation:

(2^5/x^2)^4

(2^5×4)/(x^2×4)

2^20/x^8

Application of the rules of indices: product power law

Answer:

x=y=-2

Step-by-step explanation:

Comparing these ordered pairs, we will get

4^(1/x)=1/2 and 9^(1/y)=1/3

x=-2 and y=-2

Answer:

x = y = - 2

Step-by-step explanation:

Using the rule of radicals/ exponents

\(a^{\frac{m}{n} }\) = \(\sqrt[n]{a^{m} }\) , \(a^{-m}\) = \(\frac{1}{a^{m} }\) , \((a^m)^{n}\) = \(a^{mn}\)

Given

\(\sqrt[x]{4}\) = \(\frac{1}{2}\) , then

\(\sqrt[x]{2^{2} }\) = \(\frac{1}{2}\)

\(2^{\frac{2}{x} }\) = \(2^{-1}\)

Since the bases on both sides are equal, both 2 , then equate exponents

\(\frac{2}{x}\) = - 1 ( multiply both sides by x )

2 = - x , that is

x = - 2

Similarly

\(\sqrt[y]{9}\) = \(\frac{1}{3}\) , then

\(\sqrt[y]{3^{2} }\) = \(\frac{1}{3}\)

\(3^{\frac{2}{y} }\) = \(3^{-1}\)

Equating the exponents gives

\(\frac{2}{y}\) = - 1 ⇒ - y = 2 ⇒ y = - 2

Answer:

24.56

Step-by-step explanation:

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Step-by-step explanation:

1- The probability of obtaining at most 2 red balls is equal to the probability of obtaining 0 red balls plus the probability of obtaining 1 red ball plus the probability of obtaining 2 red balls. Since there are a total of 12 balls in the urn and each ball has an equal chance of being drawn, the probability of drawing a red ball is

4/12 = 1/3.

Using the binomial formula, we can calculate that

P(J) = (3C0)(1/3)^0(2/3)^3 + (3C1)(1/3)^1(2/3)^2 + (3C2)(1/3)^2(2/3)^1

= 26/27.

2- The probability of getting a red ball followed by a white ball then a black ball is equal to the product of the probabilities of each event happening. Since there are 4 red balls out of 12 total balls, the probability of drawing a red ball is

4/12 = 1/3.

Similarly, the probability of drawing a white ball is 5/12 and the probability of drawing a black ball is 3/12.

Therefore, P(K) = (1/3)(5/12)(3/12)

= 5/108.

3- The probability that the first ball drawn is the only black ball can be calculated as follows: There are three possible sequences in which this can happen: BBW, BWB and WBB. The probability for each sequence happening is

(3/12)(2/9)(5/9) =

10/108.

Therefore P(L) = 3(10/108)

= 5/18.

4- The easiest way to calculate P(M) would be to calculate the complement event: neither red nor white balls are drawn or only one color (either red or white) is drawn. The probability that no red or white balls are drawn is

(3C0)(3C0)(6C3)/(12C3)

=1/220.

The probability that only red balls are drawn is

(4C1)(8C2)/(12C3)

=56/220 and similarly for only white balls being drawn.

Therefore P(M)=1-(1+56+56)/220

=107/220.

I hope this helps!

PLS MRK ME BRAINLIEST

Answer:

Acute Scalene Triangle

Step-by-step explanation:

This depends on the classification type. Because we are given both the angle measure and information on the sides, I am combining the angle and side classification.

1. In terms of angles, it's acute. All the angles are less than 90, so it makes it acute.

2. In terms of sides, it's scalene because it has no equal sides.

The score assigned by the logistic regression classifier to the positive class is 8.

In logistic regression, the score assigned to a class is calculated by taking the dot product of the weight vector and the feature vector, and adding the bias term. Here, the weight vector is [2, 5, -10, 0, -1], the feature vector is [0, 1, 1, 3, -5], and the bias term is 0.

To calculate the score for the positive class, we multiply each corresponding element of the weight vector and feature vector, and sum up the results.

(2 * 0) + (5 * 1) + (-10 * 1) + (0 * 3) + (-1 * -5) + 0 = 8

Therefore, the score assigned by the classifier to the positive class is 8.

The cross-entropy loss is a measure of how well the classifier is performing. It quantifies the difference between the predicted class probabilities and the true class labels. In logistic regression, the cross-entropy loss is given by the formula:

-1 * (y_true * log(y_pred) + (1 - y_true) * log(1 - y_pred))

Where y_true is the true label (0 for NEG and 1 for POS) and y_pred is the predicted probability for the positive class.

If the correct label for the example is POS, the cross-entropy loss would be calculated using y_true = 1 and y_pred = sigmoid(score). In this case, the score is 8, and the sigmoid function squashes the score between 0 and 1.

If we assume the correct label is NEG, then the cross-entropy loss would be calculated using y_true = 0 and y_pred = sigmoid(score).

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Answer:

vertically opposite angle6×+8 answers is

Answer:

x=85

y=45

Step-by-step explanation:

using the sum of a straight angle:

x+95=180

x=85

then we can use the sum of the inner angles of a triangle:

50+85+y=180

y=45

Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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At a 0.05 level of significance, there is insufficient evidence to conclude that the mean amount of garbage per bin is different from 50 pounds.

To conduct the appropriate hypothesis test, we need to use a two-tailed t-test since we are interested in determining if the mean amount of garbage per bin is different from 50, not just greater or less than 50.

Our null hypothesis (H0) is that the mean amount of garbage per bin is equal to 50, and our alternative hypothesis (Ha) is that the mean amount of garbage per bin is different from 50.

Using a 0.05 level of significance, we will reject the null hypothesis if our calculated t-value falls outside of the critical t-value range determined by our degrees of freedom (df) and alpha level.

To calculate the t-value, we use the formula:

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

Plugging in our values, we get:

t = (49.32 - 50) / (3.7 / sqrt(36))
t = -2.08

Using a t-table with df = 35 and alpha = 0.05, we find that the critical t-values are -2.03 and 2.03.

Since our calculated t-value of -2.08 falls outside of this range, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean amount of garbage per bin is different from 50.
To test if the mean amount of garbage per bin is different from 50, we will conduct a two-tailed hypothesis test using the provided information.

Step 1: State the null and alternative hypotheses.
Null hypothesis (H₀): µ = 50 (The population mean is equal to 50 pounds)
Alternative hypothesis (H₁): µ ≠ 50 (The population mean is not equal to 50 pounds)

Step 2: Determine the level of significance (α) and sample size (n).
α = 0.05
n = 36

Step 3: Calculate the test statistic (z-score).
z = (sample mean - population mean) / (sample standard deviation / √n)
z = (49.32 - 50) / (3.7 / √36)
z = -0.68 / 0.6167
z ≈ -1.10

Step 4: Find the critical z-values and make a decision.
For a two-tailed test with α = 0.05, the critical z-values are -1.96 and 1.96. Since the test statistic, -1.10, lies between these critical values, we fail to reject the null hypothesis.

Conclusion: At a 0.05 level of significance, there is insufficient evidence to conclude that the mean amount of garbage per bin is different from 50 pounds.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The width of the confidence interval increases as the sample size increases and decreases as the confidence interval decreases. The confidence interval decreases as the sample size increases and increases as the confidence level increases.

Sample size is defined as the number of observations used to determine

an estimate of a particular population. The size of the model is drawn by people. Sampling is the process of selecting a group of individuals from a population to estimate the characteristics of the entire population. Select the number of establishments in a population group for analysis.

The sample size increases with the square of the standard deviation and decreases with the square of the difference between the mean under the alternative hypothesis and the mean under the null hypothesis.

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Marley's total annual gross earnings as an independent sales agent would be $57,600.

Marley, an independent sales agent, receives a straight commission of 15% on all his sales from his suppliers. To calculate his total annual gross earnings, we need to find the sum of his semi-monthly sales and then multiply it by the commission rate.
Given that Marley averages semi-monthly sales of $16,000, we can calculate his total annual sales by multiplying this average by the number of semi-monthly periods in a year, which is 24 (12 months x 2).
Annual sales = Semi-monthly sales x Number of semi-monthly periods in a year
Annual sales = $16,000 x 24
Annual sales = $384,000
Now, to find Marley's total annual gross earnings, we need to multiply his annual sales by his commission rate of 15%.
Total annual gross earnings = Annual sales x Commission rate
Total annual gross earnings = $384,000 x 0.15
Total annual gross earnings = $57,600
Therefore, Marley's total annual gross earnings as an independent sales agent would be $57,600.

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The line of the equation should be y = 20x + 320 and travelers will spend about $620 billion in the year 2008. So, the option c is correct.

In the given question, we have to write an equation for the line of best fit and then predict how much money travelers will spend in 2008.

The graph of the question is given below:

From the graph the points are (1.5, 350) and (4, 400)

As we know that the formula of the equation of line is:

y-y(1) = {y(2)-y(1)}/{x(2)-x(1)} (x-x(1))

x(1) = 1.5, y(1) = 350, x(2) = 4 and y(2) = 400

Now putting the values

y-350 = (400-350)/(4-1.5) (x-1.5)

y-350 = 50/2.5 (x-1.5)

y-350 = 20(x-1.5)

y-350 = 20x-30

Add 350 on both side, we get

y = 20x + 320

So, the line of the equation should be y = 20x + 320.

So that travelers will spend about $620 billion in the year 2008.

Hence, the option c is correct.

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Therefοre, the number οf sunny days is 96.

An equatiοn is a mathematical statement that asserts the equality οf twο expressiοns. It typically cοnsists οf variables, cοnstants, and mathematical οperatiοns, such as additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnents, and rοοts.

A mathematical assertiοn οf the equality οf twο expressiοns is knοwn as an equatiοn. Variables, cοnstants, and mathematical οperatiοns like additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnents, and rects are generally included.

Given by the questiοn.

Let "x" be the number οf sunny days οver the last 96 days.

If it was sunny until thοse days, that means all 96 days were sunny.

We can set up the equatiοn:

x = 96

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Answer:

5 m , 3 m , 15 m²

Step-by-step explanation:

Given area (A) = x² - 12x + 35 and A = length × breadth , then

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form

We know length = x - 5 , then breadth = x - 7

When x = 10

length = x - 5 = 10 - 5 = 5 m and breadth = x - 7 = 10 - 7 = 3 m

A = 10² - 12(10) + 35 = 100 - 120 + 35 = 15 m²

or

A = length × breadth = 5 × 3 = 15 m²

The number of rows required in a truth table to evaluate a logical statement with four variables is 16. The logical equivalence between "p → (q→ r)" and "(p —— q) → r" is True.

The statement that DeMorgan's laws are invalid if the negation operator distributes over conjunction and disjunction operators is False.

A truth table is a useful tool to evaluate the truth values of logical statements for different combinations of variables. In this case, since there are four variables involved, we need to consider all possible combinations of truth values for these variables.

Since each variable can take two possible values (True or False), we have 2^4 = 16 possible combinations. Therefore, we require 16 rows in the truth table to evaluate the logical statement.

Moving on to the logical equivalence between "p → (q→ r)" and "(p —— q) → r", we can determine if they are equivalent by constructing a truth table. Both expressions have three variables (p, q, and r). By evaluating the truth values for all possible combinations of these variables, we can observe that the truth values of the two expressions are identical in all cases.

Hence, the logical equivalence between "p → (q→ r)" and "(p —— q) → r" is True.

Regarding the statement about DeMorgan's laws, it states that if the negation operator distributes over the conjunction and disjunction operators in propositional logic, then DeMorgan's laws are invalid. However, this statement is false.

DeMorgan's laws state that the negation of a conjunction (AND) or disjunction (OR) is equivalent to the disjunction (OR) or conjunction (AND), respectively, of the negations of the individual propositions. These laws hold true irrespective of whether the negation operator distributes over the conjunction and disjunction operators.

Therefore, the statement about DeMorgan's laws being invalid in such cases is false.

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Answer:

I can't get past hre, equations are attached tho

Step-by-step explanation:

Equations:

\(b + s + p = 35.75\)

\(\frac{1}{4} b = s\)

\(\frac{2}{3} s = p\)

Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:

brush =$20.21,. sketchbook =$6.21 , paint set=$9.32

Step-by-step explanation:

let the cost of the brush=x

the cost of the sketchbook=y

the cost of the paint set= z

total money used= $39.75-$4.00

=$35.75

x= 14+y

but y=2/3z

x= 14+2/3z

14+2/3z +2/3z +z =35.75

3×14 +3×2/3z+3×2/3z×3z=3×35.75

42 +2z +2z +3z =107.25

7z=107.25-42

7z=65.25

z=65.25/7

z=$9.32

y=$2/3×9.32

y=$6.21

x=14+y

x=14+6.21

x=$20.21

The margin of error at the 95% confidence level is 7.

The margin of error, also known as the confidence interval, provides information on how closely one's survey results are likely to represent the opinions of the entire population.

It is a way of measuring the effectiveness of a survey. It is a set of numbers above and below the survey's actual results.

The formula used to calculate the margin of error is,

\(\text{margin of error}= z \times \frac{\sigma}{\sqrt{n}}\)

Were,

Here, the z score value for 95% is 1.96, n is 49, and sigma is 25. Then, the margin error for the given population can be calculated as,

\(\begin{aligned}\text{Margin of error}&=1.96\times \frac{25}{\sqrt{49}}\\&=7\end{aligned}\)

Therefore, the answer is 7.

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Answer:

h = 9km

Step-by-step explanation:

area of a trapezoid= ½ x (a+b) x h

117 = (2+2+11 +11) / 2 x h

h = 117 / 26÷2

h = 9km

Answer: 1.9 or 90%

Step-by-step explanation: it’s worth it x

The expected value of the sampling distribution of p is 0.8.

A statistic's probability distribution is called a sampling distribution when it is calculated from a larger number of samples taken from a particular population. The distribution of frequencies for a variety of outcomes that could possibly occur for a statistic of a population is known as the sampling distribution of that population.

The normal distribution, which is also known as the Gaussian distribution, is symmetric about the mean. It demonstrates that data close to the mean occur more frequently than data far from the mean. The normal distribution is depicted graphically as a "bell curve."

the sampling distribution of sample proportion will be a normal distribution with mean

\(\mu_{p}\) = p = 0.8

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Answer:

15

15

10

Step-by-step explanation:

3/8 x £40 = £15 for Sarah

3/8 x £40 = £15 for Fiona

2/8 x£40 = £10 for david

Answer:

Sarah gets \(\frac{3}{8}\) × 40 = £15

Fiona gets \(\frac{3}{8}\) × 40 = £15

David gets \(\frac{2}{8}\) × 40 = £10

Step-by-step explanation:

If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.

To find the amount each person gets we are goin to change the ratios of each person into fractions.

To turn to fraction add all portions in the ratio:

3 + 3 + 2 = 8 (this will be the denominator for all proportions.)

Therefore Sarah gets \(\frac{3}{8}\), Fiona gets \(\frac{3}{8}\) and David gets \(\frac{2}{8}\).

Sarah gets \(\frac{3}{8}\) × 40 = £15

Fiona gets \(\frac{3}{8}\) × 40 = £15

David gets \(\frac{2}{8}\) × 40 = £10

The average change in high temperatures over the next 7 days is 2.3. On the other hand, the average low temperature is 2.8.

To calculate the average of several values, we must perform a two-step mathematical operation:

Below is the example with the values in the table.

High temperature:

Low temperature:

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Answer: -10x^2 - 33x + 1

Step-by-step explanation:

Not sure if it’s correct but that’s what I got.

Answer:

Step-by-step explanation:

\(\tt 6x\left(x-4\right)-16x^2-\left(9x-1\right)\)

Apply the distributive property :-

\(\tt 6x^2-24x-16x^2-9x+1\)

Combine like terms:-

\(\tt 6x^2-16x^2=\bf -10x^2\)

\(\tt -24x-9x=\bf -33x\)

\(\tt 10x^2-33x+1\)

---------------------------------------

Hope this helps!

Answer:

He paid Rs 1,850 to buy the watch

Profit = Rs 185

Step-by-step explanation:

Cost price = x

Profit = 10% of x

Selling price = Rs 2035

Profit = Selling price - cost price

10% of x = 2035 - x

0.1x = 2035 - x

0.1x + x = 2035

1.1x = 2035

x = 2035 / 1.1

x = 1,850

Cost price = x = Rs 1,850

Profit = 10% of x

= 10% of 1,850

= 0.1 × 1850

= 185

Profit = Rs 185