we want to identify with transformation was applied to the triangle to get the one on the left. Note that a translation would leave the triangle in the same orientation. As the triangle on the left does not have the same orientation as the one on the right, we can immediately discard option C.
Also, note that when we reflect on the x axis, the x coordinates are still the same. This means that under a reflection on the x axis, the triangle should remain on the same "side" of the plane. That is, on the right. As the triangle on the left is on a the left side of the plane, we can also discard option A.
So the only remaining options are B and D.
Recall that a rotation about a points means that we are keeping that point fixed.
Also, remember that if we are rotating counterclockwise, we are rotating on the opposite direction as the clocks normally rotate.
Note that if we apply a 90° rotation counterclockwise about the origin, we would get the following triangle
which doesn't look like the triangle we are given. So we can discard option B as well.
This means that the correct option is option D
What is the value of x?
Answer:
38 is the answer to your question hope that helps
Answer:
71° and 71°
Step-by-step explanation:
This is isosceles triangle.
So,
\(38 + x + x = 180 \)
\(38 + 2x = 180\)
\(2x = 180 - 38\)
\(2x = 142\)
\(x = 142 \div 2\)
\(x = 71\)
Hope this will help you.
and comment me to tell your country
On a certain hot summers day 284 people use the public swimming pool the daily prices are $1.50 for children and two dollars for adults their seats for admission total of $467 how many children and how many adult swim at the public pool that day
Answer:
c = 202 children use the pool, and 284 - 202, or 82 adults.
Step-by-step explanation:
Represent the number of children by c and the number of adults by a.
There are a total of 284 people using the pool, so c + a = 284.
Admission fees are $1.50/child and $2.00/adult. $1.50c is the amount taken in through ticket sales for c children; $2.00a for adults.
Then total ticket sales are ($1.50/child)c + ($2.00/adult)a = $467.
Going back to c + a = 284, a = 284 - c, and so the above equation becomes
($1.50/child)c + ($2.00/adult)(284 - c) = $467
After simplifying this equation in c, we get:
1.50c + 568 - 2c = 467, or
101 = 0.5c. Thus, c = 202 children use the pool, and 284 - 202, or 82 adults.
The campus for Centerburgh High School has five buildings built around the edge of a circular courtyard. There is a sidewalk between each pair of buildings.
b. Suppose there are no sidewalks between pairs of adjacent buildings. Is it possible to reach all five buildings without walking down any sidewalk more than once?
It is possible to reach all five buildings without walking down any sidewalk more than once, even if there are no sidewalks between pairs of adjacent buildings.
In this case, since there are five buildings arranged around the edge of a circular courtyard, we can consider a path that starts from any building and moves to the next building counterclockwise. By following this path, we can visit each building exactly once without having to walk down any sidewalk more than once.
To visualize this, imagine standing at one of the buildings and facing the courtyard. From that position, you can choose to move to the building on your left. Then, from that building, you can again choose to move to the building on your left. By continuing this pattern, you will eventually visit all five buildings, forming a loop around the courtyard, without repeating any sidewalk.
Therefore, it is possible to reach all five buildings without walking down any sidewalk more than once, even if there are no sidewalks between pairs of adjacent buildings.
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21) Eric buys a new hat for the price of $34.99. What
was the sales tax amount if the sales tax rate is 6%?
Answer: The sales tax is $2.10! Or to be very exact it is 2.0994!
Step-by-step explanation:
Does anyone know what this is
Answer:
c
Step-by-step explanation:
they have to have the same slope to be parallel
Answer:
\(m = -3\)
Step-by-step explanation:
-To determine the slope of the red line on the graph, you need the slope formula:
\(m = \frac{y_{2} - y_{1}}{x_{2}- x_{1}}\)
-Since the red line shows it's decreasing, then the number will be negative. So, l picked \((0,3)\) and \((1,0)\) for the slope formula:
\(m = \frac{0 - 3}{1 - 0}\)
Then, solve:
\(m = \frac{0 - 3}{1 - 0}\)
\(m = \frac{-3}{1}\)
\(m = -3\)
so, the slope is \(-3\).
16. Write and solve an equation to find two consecutive odd integers such that their sum is twenty.
Answer:
9 and 11
Step-by-step explanation:
there is a difference of 2 between consecutive odd integers.
let n and n + 2 be the integers , then
n + n + 2 = 20
2n + 2 = 20 ( subtract 2 from both sides )
2n = 18 ( divide both sides by 2 )
n = 9
and n + 2 = 9 + 2 = 11
the two consecutive odd numbers are 9 and 11
The heptagon at the right has been dissected into five triangles with angles labeled as shown use the five triangles to prove that the sum of the interior angles of any heptagon is always 900°
We can utilise the five triangles in the provided heptagon and the characteristics of triangles to demonstrate that the total interior angle of a heptagon is 900 degrees.
How is this determined?A triangle's internal angles are always added up to 180 degrees. The inner angles of the five triangles that make up the heptagon add up to 5 * 180, or 900 degrees.
The total of the interior angles of the heptagon can be calculated using the five triangles that make up the shape. We can see that the sum of the interior angles of the heptagon equals the sum of the angles of the five triangles because the angles of the heptagon are labelled.
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For limit of startfraction x squared minus 4 x minus 12 over x minus 2 endfraction as x approaches 2 minus = and limit of startfraction x squared minus 4 x minus 12 over x minus 2 endfraction as x approaches 2 plus= . these limits indicate there is an asymptote of .
The given limit indicates that there is a vertical asymptote at x = 2.
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator. When x tends to these values laterally, the limit of f(x) goes to infinity.
In this problem, the function is:
\(f(x) = \frac{x^2 - 4x - 12}{x - 2}\)
The vertical asymptote is:
x - 2 = 0 -> x = 2.
Hence:
\(\lim_{x \rightarrow 2^+} f(x)\) and \(\lim_{x \rightarrow 2^-} f(x)\) are either positive infinity or negative infinity.
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Which of these is a method used in a forecasting model for a time series when trend, seasonal, or cyclical effects are not significant? Group of answer choices Exponential Smoothing and Moving Average Exponential Smoothing Moving Average Linear regression Holt-Winters
Moving Average and Exponential Smoothing is a method used in a forecasting model for a time series when a trend, seasonal, or cyclical effect is not significant.
When trend, seasonal, or cyclical effects are not significant in a time series, the most appropriate method for forecasting is typically the Moving Average or Exponential Smoothing method. The Moving Average method involves calculating the average of a set of previous observations to forecast the next data point.
The number of previous observations to include in the average is determined by the chosen window size, which can be adjusted based on the level of smoothing desired. On the other hand, the Exponential Smoothing method assigns more weight to recent observations and less weight to older observations. This method assumes that recent data points are more relevant for forecasting future values than older data points.
The level of smoothing can be controlled by adjusting the smoothing parameter. Linear regression and Holt-Winters methods are better suited for time series with significant trends, and seasonal, or cyclical effects. Holt-Winters is a more complex method that considers both trend and seasonal effects in addition to the level of smoothing.
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FREE BRAINLEST: just tell me your fav color and why you like that color then put a pic of that color! Who ever gets it first wins! Good luck
Answer:
Black! I like black beacuse it reminds me of my dad!
Step-by-step explanation:
the difference between 4/9 of a number and seven is five
Answer:
if x is the number
4/9x - 7=5
4/9x= 7+5
4/9x= 12
x= 12×9/4
x= 108/4
x=27
WILL MARK YOU BRAINLIEST
Answer: 4.8
Step-by-step explanation:
Ricky is 35 years old. He plans to retire when he is 63. He has opened a traditional retirement account that pays 1% interest compounded monthly. If he makes monthly deposits of $400, how much will he have in the account by the time he retires? Round to the nearest cent
The amount received by Ricky in his account by the time of his retirement at 1% interest rate compounded monthly is equals to the $154,937.8.
Age of Ricky at present is 35 years and he plans to retire in age of 63 years.
Monthly deposits, PMT = $400
Interest rate = 1%
Monthly interest rate, \(r = \frac{0.01}{12}\) = 0.00083
number of years = 63 years - 35 years
= 28 yrs.
Number of time periods, n = 28 years × 12 = 336 months
Using the amount received formula, Amount received = \( PMT(\frac{ ( 1 + r)^n - 1}{r})\)
where, PMT --> present monthly deposit
r --> interest rate here monthly interest rate
Substitute all known values in above formula, Amount received= \(400 (\frac{(1 +0.00083)^{336}- 1}{ 0.00083})\) = $154,937.7680.
Hence, required value is $154,937.8.
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In class 10 out of 25 students ride the bus.what percent of students ride the bus?
Answer:
40%
Step-by-step explanation:
it's easiest to get a percentage from 100, multiplying 25 by 4 gives you 100 so if you do that then multiply 10 by four to make the equation even that will give you the answer
All events are independent. Find the probability in question.
1. P (B) = , P (A and B) = 2 find P (A)
81/2000
2. P (A)=, P (A and B)=, find P (B) =
3/25
3. P (B) = 0.25, P (A and B) = 0.1, find P (A) =
2.5
4. P (A) = 0.3, P (A and B) = 0.075, find P (B) =
=
4
The probabilities of the independent events are as given as follows:
P (A) = 9/20P (B) = 3/4P (A) = 0.4P (B) = 0.25What are the probabilities?Since all the events are independent events, the probabilities are calculated as follows:
P (B) = 3/10, P (A and B) = 27/200; find P (A)
P (A) = P (A and B) / P (B)
P (A) = (27/200) / (3/10)
P (A) = 9/20
2. P (A)= 2/5, P (A and B)= 3/10, find P (B)
P (B) = (3/10) / (2/5)
P (B) = 3/4
3. P (B) = 0.25, P (A and B) = 0.1, find P (A)
P (A) = 0.1/0.25
P (A) = 0.4
4. P (A) = 0.3, P (A and B) = 0.075, find P (B)
P (B) = 0.075/0.3
P (B) = 0.25
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concerning the eoq model, if demand or annual usage increases by 10 percent, then the eoq will ________.
If demand or annual usage increases by 10 percent, the Economic Order Quantity (EOQ) will increase. The EOQ model is used in inventory management to determine the optimal order quantity that minimizes total inventory costs.
The Economic Order Quantity (EOQ) is a model used in inventory management to determine the optimal order quantity that minimizes total inventory costs. It takes into account factors such as demand, holding costs, and ordering costs. When demand or annual usage increases by 10 percent, it means that more units are being consumed or sold within a given time period.
With an increase in demand, the EOQ will also increase. This is because the EOQ formula takes into consideration the trade-off between holding costs and ordering costs. Holding costs are the costs associated with holding inventory, such as warehousing and insurance, while ordering costs are the costs incurred when placing an order, such as administrative and transportation costs.
When demand increases, more units need to be ordered to meet the higher demand. This results in an increase in ordering costs, as more frequent orders will need to be placed. Consequently, the EOQ will increase to find the new optimal order quantity that balances the increased ordering costs with the holding costs.
In summary, if demand or annual usage increases by 10 percent, the EOQ will increase due to the need to order more frequently to meet the higher demand, resulting in increased ordering costs. This adjustment ensures that the inventory management system remains efficient and cost-effective.
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Combine the like terms to create an equivalent expression:
2r+1+(−4r)+7
Answer:
-2r+8
Step-by-step explanation:
Methods used that summarize or describe characteristics of data are called?
Methods used that summarize or describe characteristics of data are called Descriptive statistics
Descriptive statistic is defined as the method fro summarizing data and information to partition them into a section of meaningful data.It contains descriptive coefficients that defined the meaningfulness of the data .
Variability and central tendency are the part of descriptive statistics that describe the spread and central point of the data respectively.
Other options are incorrect because overall statistics measure complete components ,average statistics take mean of complete statistic data and inferential statistic is based on random data sample.
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Can someone put this in slope intercept form
2x-3y=12
Answer:
Step-by-step explanation:
2x-3y=12
y=2/3x-4
Tell which number is greater.
0.9, 95%
95% is greater than 0.9 95%>0.9
Anyone knows this one ?
Answer:
looks like it might be 4 but I'm not a 100% sure
Georgie joins a gym. She pays $25 to sign up and then $15 each monthLabel the y-intercept, the slope, and your axes.
Many people who own digital cameras prefer to have pictures printed. In a preliminary study to determine spending patterns, a random sample of 8 digital camera owners and 8 standard camera owners were surveyed and asked how many pictures they printed in the past month. The results are presented here. Can we infer that the two groups differ in the mean number of pictures that are printed? Use the 5% level of significance and draw your conclusions by both P value method as well as the Critical value method. Digital Standard 15 0 12 24 23 36 31 24 20 0 14 48 12 0 19 0 Summary Statistics of the data in Question 5 above to be used in the formula as an option Digital Standard Mean 18.25 16.5 Standard deviation 6.5 19.2 Sample size 8 8
Based on both the p-value method and the critical value method, we fail to reject the null hypothesis and cannot infer that the two groups differ in the mean number of pictures printed.
To determine if the two groups (digital camera owners and standard camera owners) differ in the mean number of pictures printed, we can conduct a hypothesis test using both the p-value method and the critical value method.
Let's define our hypotheses:
Null Hypothesis (\(H_0\)): The mean number of pictures printed is the same for both groups.
Alternative Hypothesis (\(H_1\)): The mean number of pictures printed differs between the two groups.
We'll use a significance level of 0.05 (5%).
First, let's calculate the test statistic for the two-sample t-test using the provided summary statistics:
Digital:
Mean = 18.25
Standard Deviation = 6.5
Sample Size = 8
Standard:
Mean = 16.5
Standard Deviation = 19.2
Sample Size = 8
Using the formula for the two-sample t-test, the test statistic (t) is given by:
\(t = (mean_1 - mean_2) / \sqrt{(s_1^2/n_1) + (s_2^2/n_2)}\)
Substituting the values, we have:
\(t = (18.25 - 16.5) / \sqrt{(6.5^2/8) + (19.2^2/8)}\)
t ≈ 0.75
Now, let's perform the hypothesis test using both methods:
1) P-value Method:
Using the t-distribution with \((n_1 + n_2 - 2)\) degrees of freedom, we can calculate the p-value associated with the test statistic.
The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.
Using a t-table or statistical software, we find that the p-value corresponding to t ≈ 0.75 is approximately 0.47.
Since the p-value (0.47) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to conclude that the mean number of pictures printed differs between the two groups.
2) Critical Value Method:
Using the t-distribution with \((n_1 + n_2 - 2)\) degrees of freedom and a significance level of 0.05, we can find the critical value.
The critical value is the value beyond which we would reject the null hypothesis.
For a two-tailed test at a 5% significance level and 14 degrees of freedom (8 + 8 - 2), the critical value is approximately ±2.145.
Since the test statistic (0.75) does not exceed the critical value (±2.145), we fail to reject the null hypothesis. There is not enough evidence to conclude that the mean number of pictures printed differs between the two groups.
In conclusion, based on both the p-value method and the critical value method, we do not have sufficient evidence to infer that the two groups differ in the mean number of pictures printed.
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Does the graph represent a function?
Answer:
Yes
Step-by-step explanation:
When you do the vertical line test each line does not have two points so if the line hits two points on the graph than its not a function, but if it does only hits one point then it's a function so the answer is yes it is a function :)
Emy paid 24.50 for 4 baskets of apples. How much did she pay for each basket?
Bonus: How much will it be for 10 baskets.
Please help me it will be very much appreciated!
Due in one hour.
Answer:
6.125
Step-by-step explanation:
Divide 24.50 by 4!
Answer:
$6.13 for each basket.
Bonus: $61.30 for ten baskets.
Step-by-step explanation:
To solve this, we would divide the $24.50 by four, because there are four baskets. We now know that she paid $6.13 (rounded from $6.125) for each basket. To solve for 10 baskets, you would take the price per basket of $6.13 and multiply it by ten, resulting in $61.30 for all ten baskets.
Hope this helps!
Maria thinks of a number double it and add 5 answer is 21 write as an equation in X and solve it to find Maria's number
Answer:
The number is 8
Step-by-step explanation:
2x +5 =21
2x= 21-5
2x=16
2x/2=16/2
x=8
To check
8×2=16
16+5=21
a company decides to keep a huge shipment of light bulbs if p<5% are defective otherwise they return the shipment. after running a test the company decides to keep the shipment and after all the bulbs where used it was found that less than 5% of the bulbs were defective. what type of error could have occurred?
The type of error that could have occurred in this scenario is a Type II error. A Type II error occurs when the null hypothesis is not rejected, even though it is false.
In this case, the null hypothesis is that the proportion of defective bulbs in the shipment is greater than or equal to 5%. By not rejecting this null hypothesis, the company is accepting the possibility that the shipment has a high proportion of defective bulbs, when in reality it does not. This can lead to significant costs for the company, such as the cost of returning the shipment or the cost of replacing defective bulbs in the future.
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what is 3 feet + 14 inches
Answer:
3.14
Step-by-step explanation:
costs that do not change with output are called __________ costs. group of answer choices marginal average fixed variable
Costs that do not change with output are called fixed costs.
Hence the correct option is D.
Fixed costs are the costs that does not change when output gets changed. Fixed cost is also known as overhead cost. For example, insurance, rent, profit, depreciation, and normal cost.
Fixed costs are indirect costs and must be paid irrespective of the level of production, that is, these costs can be incurred even when the level of production is zero. The best example for this is rent of the factory and payment on the lease for the equipment of the factory must be paid even if the level of production is zero.
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The real exchange rate of Canada increased by 4.9% relative to US. Observing that Canada's inflation rate is 8.5% while the US inflation rate is 3.8%, what is the change in the nominal exchange rate (in Canada's perspective)? Round your answer to the nearest two decimal place. Write your answer in percentage terms so if your answer is 10%, write 10 .
The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.
Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada
= 4.9% Inflation of Canada
= 8.5% Inflation of US
= 3.8% Nominal Exchange Rate
= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate
= 4.9% x 1.085 / 1.038 Nominal Exchange Rate
= 5.3099 / 1.038 Nominal Exchange Rate
= 5.11 (rounded to two decimal places)
This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
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