In triangle , the measure of angle is 50° and the measure of angle 70°. What is the measure of the exterior angle to angle ?
Answers
Answer:
60
Step-by-step explanation:
50+70=120
180-20=60
Answer:
120°
Step-by-step explanation:
Your question didn't include an image or angle names, so it was pretty confusing to get what you were asking for. If you were asking for the exterior angle of the missing angle, then here's your answer:
The 3 angle measures of a triangle will always equal 180.
Since we've already got two angles, all we need to do is a simple equation to get our missing angle:
180-(50+70)=60
Now that we've got the missing angle, we need to calculate the exterior angle, the thing we're here for. We know (hopefully at this point) that an exterior angle and its interior angle are a linear pair, meaning that the two add up to 180. Knowing this, we can do this equation to finish off the question:
180-60=120
And there's your answer, 120°
There's also a shorter way of doing this, let me know if you'd like to see it. But for now, hope I helped!
Related Questions
a math question im lazy to get the answer
Answers
Answer:
The answer is A :)
A box contains 2 green, 5 blue, and 8 yellow chips. If two chips are drawn at random one after the other with replacement, find the probability that both the chips are green. a) 4/225. b) 2/225. c) 1/225. d) 3/29
Answers
To determine the probability that both the chips are green:
\(\text{Probability =}\frac{\text{ number of required outcome}}{\text{ number of possible outcome}}\)\(\begin{gathered} G\text{reen =2} \\ B\text{lue }=\text{ 5} \\ \frac{Y\text{ellow = 8}}{} \\ \frac{\text{Total = 15}}{} \end{gathered}\)\(\begin{gathered} \text{Probability (gr}een)=\frac{\text{ number of gr}een}{total\text{ number}} \\ Pr(\text{green) =}\frac{2}{15}\text{ } \\ Pr(\text{both are gre}en)=\frac{2}{15}\text{ x }\frac{2}{15}=\frac{4}{225} \end{gathered}\)Therefore the probability that both the chips are green =4/225
Hence the correct answer is Option A
According to the United States Census Bureau, just about 46.1% of adults in America are men. The population of New York City is 8,491,079 people. How many would you expect to be male? Round your answer to the nearest person. We would expect of the people in New York City to be male.
Answers
We would expect 3,913,548 people in New York City to be male.
To calculate the expected number of males in New York City, we can use the proportion of adults in America who are men, which is 46.1%.
First, we multiply the proportion by the total population of New York City to find the expected number of males:
Expected number of males = Proportion of males * Total population
Proportion of males = 46.1% = 0.461 (in decimal form)
Total population of New York City = 8,491,079
Expected number of males = 0.461 * 8,491,079
Calculating the above expression:
Expected number of males = 3,913,548.119
Rounding the result to the nearest person:
Expected number of males = 3,913,548 (rounded to the nearest person)
Therefore, we would expect approximately 3,913,548 people in New York City to be male.
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a-If given that we were tasked to evaluate the model, between MAPE and R2 which of these parameters do we use?
b-If given that model A has a higher MAPE than model B but model B has a higher R2 than model A, then how do we choose among the two?
c-Between the MAPE , MAD and MSD, which of these parameters shall we use for accuracy measures and why?
Answers
a. When evaluating a model, we use R2 as a parameter for performance assessment.
b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.
c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.
When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.
The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.
When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.
Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.
Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.
It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.
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Danielle is facing towards town A, which is at a bearing of 300 degrees from her. If she turns 135 degrees clockwise, she will be facing towards town B. What is the bearing of town B from Danielle?
Answers
The required bearing angle of town B from Thomas is 75°.
We have,
Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.
Given that
Thomas is facing towards town A, which is at a bearing of 300°.
Implies that town A is 300° from north.
If Thomas turns 135° clockwise, then he faces towards town B,
The bearing angle will be 300+135 = 435°
Since, one complete round makes angle 360°, therefore
The required bearing angle = 435 - 360 = 75
The bearing angle of town B from Thomas is 75°.
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4.27(.7)=
And
4.23 x .06 =
Answers
Answer:3.2
Step-by-step explanation:
ten divided by 1/4
thank you
Answers
Which of the following are used in an electrochemical cell?
A. electrodes
b. electrolyte
c. terminals
d. all of the above
Answers
Answer:
b
Step-by-step explanation:
i tookthe text and it was corect
Answer: The answer is D. trust me
Step-by-step explanation:
if you get this right i will cash-app 5$.
Answers
Answer: A
Step-by-step explanation:
I graphed it using my graphing calculator. the maximum point is -2, 9. f(x) means y so graphing just requires you to type the equation into a calculator and replace the f(x) with y. sorry if that doesnt make sense. no money
The number of fish on a fish farm increases by approximately 10% each month. If there were originally 350 fish, calculate to the nearest 100 how many fish there would be after 12 months.
Answers
Answer:
There would be 600 fish after 12 months.
Step-by-step explanation:
The number of fish on the farm increases by 10% each month, so the formula to calculate the number of fish after n months is:
F = 350 * (1 + 0.1)^n
where,
F is the number of fish after n months
We want to find the number of fish after 12 months, so:
F = 350 * (1 + 0.1)^12
F = 350 * 1.719178
F = 603.56 to the nearest 100, which is 600.
Taylor rates expression with five terms. 05 terms are like terms. How many terms are in equipment expression with the least number of terms? Explain.
Answers
Answer:
i dont know this one sdfghjasdfghj
Step-by-step explanation:
when x is a dummy variable, there will be no difference in ols estimators between quadratic and cubic regression models. a. true b. false
Answers
The dummy variable is used to capture the effect of the categorical variable and it has no effect on the quadratic or cubic relationship between the independent and dependent variable.
When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. This statement is true.OLS stands for Ordinary Least Squares regression. It is a statistical method used to determine the relationship between one or more independent variables (predictors) and a dependent variable. The OLS regression method minimizes the sum of squared residuals (differences between actual and predicted values).Dummy variables are used in regression analysis to represent categorical variables.
These are represented by a variable with a binary value of 1 or 0, depending on whether the observation falls in that category or not. This variable is used to represent a categorical variable in regression analysis so that the model can capture the effect of that variable in the analysis.In regression analysis, the regression model is a function of the independent variable, also called the predictor variable, and the dependent variable. A quadratic regression model is a polynomial regression model of degree 2. It means that the relationship between the dependent and independent variable is a quadratic function.
A cubic regression model is a polynomial regression model of degree 3. It means that the relationship between the dependent and independent variable is a cubic function. When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. The OLS estimators will be the same because the dummy variable will have no effect on the fit of the model. Hence, this statement is true.
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I need help with Question 9 ?
Answers
Answer:
x/6 = 3/2
Step-by-step explanation:
Students in Mrs. McGinness's class are playing a game in which they use a spinner with 8 sectors. Two of the sectors say, "0 points," three say, "1 point," two say, "2 points," and one says, "5 points." Use a table to show the probability distribution.
Answers
Answer:
the first one
Step-by-step explanation:
the first one is correct
Answer:
the first one
Step-by-step explanation:
the first one is correct
How to convert 1 cf to cy?
Answers
As 1 cubic yard is equal to 27 cubic feet therefore To convert 1 cf to cy we need to divide 1 by 27.
Both "CF" and "CY" are volume units, although they have distinct meanings:
"CF" stands for "cubic feet," which is a volume measurement unit used to determine how much space an object or substance takes up.
"CY" is an abbreviation for "cubic yards," a volume measurement used to measure greater quantities of material such as soil, sand, gravel, or concrete.
To convert 1 CF (cubic feet) to CY (cubic yards), you must first know that:
1 cubic yard is equal to 27 cubic feet.
Therefore to convert 1 CF to CY, just divide 1 by 27:
1 CF / 27 = 0.037 CY (rounded to three decimal places)
so, 1 cubic foot is nearly equivalent to 0.037 cubic yards.
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A compound X contains 63.3 percent manganese (Mn) and 36.7 percent O by mass. When X is heated, oxygen gas is evolved and a new compound Y containing 72.0 percent Mn and 28.0 percent O is formed. Determine the empirical formulas of X and Y.
Answers
The empirical formula of compound X is MnO₂.
The empirical formula of compound Y is Mn₃O₄.
We have,
To determine the empirical formulas of compounds X and Y, we need to find the ratio of the elements present in each compound.
For compound X:
The percentage of manganese (Mn) is 63.3%, which corresponds to 63.3 grams out of 100 grams.
The percentage of oxygen (O) is 36.7%, which corresponds to 36.7 grams out of 100 grams.
To find the empirical formula of X, we need to determine the ratio of Mn to O. To simplify the ratio, we can divide both values by their respective atomic masses.
The atomic mass of Mn is approximately 54.94 g/mol, and the atomic mass of O is approximately 16.00 g/mol.
For Mn: (63.3 g) / (54.94 g/mol) ≈ 1.15 mol
For O: (36.7 g) / (16.00 g/mol) ≈ 2.29 mol
The ratio of Mn to O is approximately 1.15:2.29, which simplifies to approximately 1:2.
Therefore, the empirical formula of compound X is MnO₂.
Now, let's calculate the empirical formula of compound Y using a similar approach:
The percentage of Mn in Y is 72.0%, which corresponds to 72.0 grams out of 100 grams.
The percentage of O in Y is 28.0%, which corresponds to 28.0 grams out of 100 grams.
Using the atomic masses mentioned earlier:
For Mn: (72.0 g) / (54.94 g/mol) ≈ 1.31 mol
For O: (28.0 g) / (16.00 g/mol) ≈ 1.75 mol
The ratio of Mn to O in compound Y is approximately 1.31:1.75, which simplifies to approximately 3:4.
Therefore, the empirical formula of compound Y is Mn₃O₄.
Thus,
The empirical formula of compound X is MnO₂.
The empirical formula of compound Y is Mn₃O₄.
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Let R be the region in the first quadrant bounded by the x-axis, the graph of x=y2+2, and the line x=4. What is a the interval for the area of R?
Answers
A region in the first quadrant defined by the x-axis, the graph of x=y2+2, and the line x=4 is called R then the area of R be \($-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)
What is meant by parabola ?A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. A parabola is a U-shaped curve that represents the graph of a quadratic function.
Students are able to fill in the gap between the mathematics they learn in class and the things they see in real life by drawing a comparison between the equation of a parabola and a shape found in the real world (the parabaloid). They can conceive difficult ideas that they might otherwise find repugnant by doing this.
Sketch the graph of \($x=y^2+2$\) by sketching the sideways parabola \($x=y^2$\) then adding 2 to the x coordinates (translate 2 to the right).
Add the x axis and the vertical line x = 4.
The area can be found by either
\($\int_2^4 \sqrt{x-2} d x$$\) or \($\int_0^{\sqrt{2}}\left(4-\left(y^2+2\right)\right) d x$$\)
\($=\int_0^{\sqrt{2}}-x^2+2 d x$$\)
Apply the Sum Rule: \($\int f(x) \pm g(x) d x=\int f(x) d x \pm \int g(x) d x$\)
\($=-\int_0^{\sqrt{2}} x^2 d x+\int_0^{\sqrt{2}} 2 d x$$\)
simplifying the equation, we get
\($\int_0^{\sqrt{2}} x^2 d x=\frac{2 \sqrt{2}}{3}$$\)
\($\int_0^{\sqrt{2}} 2 d x=2 \sqrt{2}$$\)
\($=-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)
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HELP MEEEEE PLEASEEEEEE
Answers
The bus is covering a distance of 42 miles in 1 hour 30 minutes then the speed of the bus will be 28 mph.
What is Average speed?
The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.
As per the given data provided in the question,
Total distance traveled by bus = 42 miles
Total time is taken by the bus = 1 hour 30 minutes = 1.5 hours.
Then the average speed of the bus will be,
\(Average\ Speed(S) = Total\ Distance/Total\ Time\)
S = 42/1.5
S = 28 mph.
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Can anyone help me solve this question and give proof how you got the answer
Answers
Answer:
y=5
Step-by-step explanation:
line intersects number 5 on the y axis
Have a good day :)
$10,000 for 5 years at 4% interest
Answers
Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.
As given in the question,
Simple Interest:
The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.
Principal amount:
Principal amount is the money that is taken as loan or borrowed.
Formula of Simple Interest:
Simple interest = Principal amount × Rate × Time
Since,
Principal amount = $10,000
Rate = 4% per year
Time = 5 years
Then,
Simple interest = 10,000 × 4 × 5
Simple interest = $ 12000
Total value after 5 years = $ 12000
Principal amount = $ 10000
Interest Earned = (Total value) - (Principal amount)
Interest Earned = $ 12000 - $ 10000
Interest Earned = $ 2000
Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.
The complete question is:
Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?
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Suppose the installation time X (in minutes) required for a certain software package is a continuous random variable with the probability density function $ 4.23 if 0
Answers
The probability that the installation time is less than or equal to 30 minutes is: P(X ≤ 30) = 4.23 × 30 = 126.9%
Let's discuss the probability density function (pdf) for the installation time X of a certain software package.
Given that the pdf is f(x) = 4.23 when 0 < x < 1, and f(x) = 0 otherwise, we can find the probability that the installation time is between two specific values, say, a and b.
To find the probability that the installation time X is between a and b (0 ≤ a < b ≤ 1), you need to integrate the pdf f(x) over the interval [a, b].
1. Write down the integral of the pdf f(x) over the interval [a, b]:
P(a < X < b) = ∫[a, b] f(x) dx
2. Since f(x) = 4.23 when 0 < x < 1, substitute this value into the integral:
P(a < X < b) = ∫[a, b] 4.23 dx
3. Integrate the function with respect to x:
P(a < X < b) = [4.23x]_[a, b]
4. Evaluate the integral at the limits a and b:
P(a < X < b) = 4.23b - 4.23a
To find the probability that the installation time is less than or equal to a certain value t, we need to integrate the probability density function from 0 to t:
P(X ≤ t) = ∫[0, t] f(x) dx = ∫[0, t] 4.23 dx = 4.23t
Therefore, the probability that the installation time is less than or equal to 30 minutes is:
P(X ≤ 30) = 4.23 × 30 = 126.9%
Now, you have the probability formula that the installation time X is between a and b. Remember, this formula is only valid for 0 ≤ a < b ≤ 1.
Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function 4x3 if 0 < x < 1 f(x) = {0 otherwise Find the expected value of the installation time in minutes = E(X) (Provide the exact answer:)
Complete Question:
Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function4x3 if 0 < x < 1 f(x) = 0 otherwise. Find the expected value of the installation time in minutes = E(X) (Provide the exact answer:)
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how can i simplify this?
Answers
Answer:u dont
Step-by-step explanation:
What is 1 whole and 1/4 + 3/4
Answers
Answer:
1 /4 plus 3/4 equals 1 one whole cuz the 1 plus 3 4 and the 4/4 thats one 1
Step-by-step explanation:
A survey of 1780 american households found that 59% of the households own a computer. identify the population, the sample, and the individuals in the study.
Answers
Population: All American households.
Sample: The 1780 American households surveyed.
Individuals: The American households participating in the survey.
In the given scenario, we have a survey of 1780 American households that found 59% of the households own a computer. Let's identify the population, sample, and individuals in the study:
Population: The population refers to the entire group or larger set of individuals that we are interested in. In this case, the population would be all American households.
Sample: The sample is a subset of the population that is chosen to represent the population accurately. In this situation, the survey includes 1780 American households. Therefore, the sample is the 1780 households that were surveyed.
Individuals: The individuals in the study are the specific units or elements being surveyed or examined. In this case, the individuals are the American households that participated in the survey. Each household represents an individual within the study.
To summarize:
Population: All American households.
Sample: The 1780 American households surveyed.
Individuals: The American households participating in the survey.
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15,500 for 7.5 years at 4.2% annual compound interest. Find the interest earned:
Answers
Answer:
$4882.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year,
then, solving our equation
I = 15500 × 0.042 × 7.5 = 4882.5
I = $ 4,882.50
The simple interest accumulated
on a principal of $ 15,500.00
at a rate of 4.2% per year
for 7.5 years is $ 4,882.50.
Answer:
$5602.78
Step-by-step explanation:
For for compound interest is A = P(1 + r/n)^(nt) where A is the new total, P is the amound invested, t is the number of years, r is the rate of interest and n is the number of times each year the interest is figured. In your problem, P = 15500, r = .042, n = 1. t = 7.5. So, substituting in we get
A = 15500(1+.042/1)^7.5(1)
A = 15500(1.36146...) = 21102.78
Therefore the interest earned is 21102.78-15500 = 5602.78
Line AB is parallel to line CD. What is the measure of angle CFE?
A 45°
B. 55°
C. 125°
D. 180°
Answers
Answer: c
Step-by-step explanation:
A full circle is 360 degrees so half way would be 180 and since theyre parallel you know that you can use the 55 degrees up top to use in ur equation to find cfe
180-55=125
Can't be 45 because the angle on the other side is smaller than cfe and its 55 degrees and cfe has to be wider than 90 degrees because a right angle is 90 degrees and this angle noticeable goes past 90
Can't be 180 because the whole thing equals 180
please help with number 9!!!
Answers
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
"The sum of a number and 4."
Answers
Answer:
n + 4
Step-by-step explanation:
It´s like a normal sum, but since the number is unknown just put n.
Answer:
x +4
Step-by-step explanation:
it can really be any letter you choose
If the division expression 60÷5 represents 60 students being divided into five tables what would the quotient represent
Answers
The quotient (which is 12 apparently) would represent the no. of students sitting on one table.
What is an appropriate display to show the spread of 150 test scores for Mrs. Hansen's last science test?
(ignore my answer, i didn't mean to click it)
Answers
The appropriate display to show the spread of 150 test scores for Mrs. Hansen's last science test is: b. box and whisker plot.
What is box and whisker plot?Box and whisker plot which is also called box plot can be defined as the plot that show a graphical presentation of data set by helping to display the data set or data score .
Hence a graphical presentation display to show the spread of 150 test scores for Mrs. Hansen's last science test is option B which is Box and whisker plot .
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