Answer:
Alternate interior angle yes
From the observation deck of a skyscraper, Valeria measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 945 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trigonometric ratio:
tan(23) = d/ 945
d = 401.1 feet
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
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Evaluate the logarithm. Round your answer to the nearest thousandth. 7 ( 25 ) ≈ log7(25)≈log, start base, 7, end base, left parenthesis, 25, right parenthesis, approximately equals
Answer:
1.654
Step-by-step explanation:
Plugged in the calculator
Marie said that the equivalent decimal amount for 7/12 is 0.583. Is she correct yes or no?
Answer:
Yes she is correct
Step-by-step explanation:
The 'Middle School Eight' basketball conference has
9 teams. Every season, each team plays every other
conference team twice (home and away), and each
team also plays 5 games against non-conference
opponents. What is the total number of games in a
season involving the 'Middle School Eight' teams?
Answer: 4
Step-by-step explanation:
There is three-fourths of a shell pile left, and Terrence has sorted four-sixths of it.
How much of the shells did he sort?
twelve twenty-fourths
sixteen-eighteenths
twelve-sixteenths
seven-tenths
Based on the fractional value, the amount of the shells that Terrence sorted is A. twelve twenty-fourths.
What is a fractional value?A fractional value is a value that represents a portion or part of the total value.
Fractional values can be depicted as proper, improper, or complex fractions. They can also be depicted as decimals or percentages.
The remaining quantity of the shell pile = ³/₄
The quantity sorted by Terrence = ⁴/₆
The fractional value sorted by Terrence = (⁴/₆ x ³/₄) = ¹²/₂₄ = 0.5 or 50%
Thus, we can conclude that Terrence sorted 50% or ¹²/₂₄ of the shell pile.
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Water is flowing into a tank at a rate of R(t) where t is measured in seconds. Is there ever a time where the R'(t) = 0? If so, what time interval does t occur in? Justify your answer using the Mean Value Theorem. t R(t) 0 70 1 72 2 78 3 80 4 83 5 78 6 82
On solving the provided question, we can say that - by equation, total amount of water removed was = 1.R(0) + 2.R(1) + 3.R(3) = 1(1340) + 2(1190) + 3(950) + 2(740) = 8050 liters
What is equation?An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. A formula that claims two formulae are equal is the definition of an equation in algebra in its most basic form. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate.
R'(2) = R(3) - R(1) /3-1 = 950-1190/2 = /120L/hr
total amount of water removed was = 1.R(0) + 2.R(1) + 3.R(3) = 1(1340) + 2(1190) + 3(950) + 2(740) = 8050 liters
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how would you say 346.725?
in word form
Answer:
three hundred forty-six point seven hundred twenty five. Or three hundred forty-five and three hundred forty-five thousandths
Step-by-step explanation:
A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school's
student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum
number of students that can attend each meeting?
Answer:
Including the princpal and two counselors, only 40 students will be able to attend each meeting.
If the principal and two counselors dont attend, then 41 students can attend with one of their parents.
estimate the probability of winning $80 within 1000 sequential bets. explain your reasoning thoroughly.
The probability of winning $80 within 1000 sequential bets utilizing the Martingale strategy is close to 0%.
The probability of winning $80 using the Martingale strategy is close to 0% because the probability of winning at each bet is 0.47. This means that the expected value of our winnings after 1000 sequential bets is close to 0.
If we lose more than 4 times in a row (which is very likely if we have 1000 sequential bets), we have to double our bet each time and therefore we would need more money than what we initially have in order to keep betting. This means that the expected value of our winnings converges to 0 as the number of sequential bets increases.
Furthermore, the standard deviation of our winnings also converges to 0 as the number of sequential bets increases because the expected value of our winnings is 0. This means that the probability of winning any amount of money is close to 0.
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The complete question is attached below.
which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? select two options.
To find the term that can be used in the blank of the polynomial 36x^3 - 22x^2 - __ so the greatest common factor (GCF) of the resulting polynomial is 2x, we need to find the common factors of the given polynomial.
Step 1: Identify the common factors of the given polynomial. In this case, the common factor is 2x.
Step 2: Divide each term of the polynomial by the common factor 2x. This will give us the resulting polynomial.
(36x^3 - 22x^2) ÷ (2x) = 18x^2 - 11x
Step 3: Compare the resulting polynomial with the desired GCF. In this case, the desired GCF is 2x.
From the resulting polynomial, we can see that the greatest common factor of 2x can be achieved by using the options 18x^2 and -11x in the blank.
So, the two options that can be used in the blank are 18x^2 and -11x.
The GCF is the highest common factor that divides all the terms of a polynomial. To find the term that will result in a GCF of 2x, we divide each term of the given polynomial by 2x and check if the resulting polynomial matches the desired GCF. In this case, the resulting polynomial is 18x^2 - 11x.
The terms 18x^2 and -11x can be used in the blank of the polynomial 36x^3 - 22x^2 - __ so the greatest common factor of the resulting polynomial is 2x.
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a cafeteria,
3/8of the students are eating salads , and 1/4 are eating sandwiches. There are 24 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?
help..........me .................
Answer:
good morning foul human i cannot help you because i cant see your images if you could type them out i might have enough brain cells left to help you adios amigo
Step-by-step explanation:
() c=3
Nathan measured a line to be 10.6 inches long is the actual length of the line is 11.1 inches, then what was the percent error in the measurement, to the nearest 10th of a percent?
The solution is, the percent error of the measurement is 4.5%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
To calculate the error, we first need to subtract Christopher measurement of the line by the actual length of the line to find the absolute error:
11.1 - 10.6 = 0.5
The absolute error is 0.1 inches.
Now, to know the percent error, we need to divide this value of error by the actual length of the line:
0.5 /11.1
= 0.045
= 4.50%
= 4.5%
So the percent error of the measurement is 4.5%
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Maria is trying to estimate y70. She uses this table of values:
Square 8.028.12 8.22 8.32 8.42
8.52
Value
64.0 65.6 67.2 68.9 70.6
72.3
Square 8.628.728.82
8.92 9.02
Value
74.0
75.7 77.4 79.281.0
What should she do next to find y70 to the nearest hundredth?
Answer:
The answer is A. She should find the squares of numbers between 8.3 and 8.4.
Step-by-step explanation:
I took the quiz
Question: What are all the values that a correlation r can possibly take? A. 0 ≤ r ≤ 1 B. r ≥0 C. -1 ≤ r ≤ 1 D. None of the above.
The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.
A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.
Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.
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Help pls! will give brainliest!
what is a 11 percent markup of $18
Answer:
$16.02
Step-by-step explanation:
Answer:
$20.22
Step-by-step explanation:
I need a solution please
The gradient at the given point (1, 1/2) is the one in option B; -1/8.
How to find the gradient?To find the gradient at the given point, we need to find the derivative and evaluate it in x = 1.
The rational function is:
y = 2/(x + 3)
And the derivative of the rational function is the following:
y' = -2/(x + 3)²
Evaluating this in x = 1 (replace the variable by the correspondent number) will give us:
y' = -2/(1 + 3)² = -2/16
y' = -1/8
That is the gradient of the rational function at the point (1, 1/2).
The correct option is B.
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Find the distance from (-6, 1) to (-3, 5).
Answer:
9.8 units
Step-by-step explanation:
distance = sqrt (x2 - x1)^2 + ( y2 - y1)^2
sqrt (-3 - (-6))^2 + (5 - 1)^2
sqrt (9)^2 + (4)^2
sqrt 81 + 16
sqrt 97
9.848857802
HELP NOW FOR MEGA POINTS
Which statement below about the graph of f(x)=-log(x+4)+2 is true?
1) f(x) has a y-intercept at (0,2)
2) −f(x) has a y-intercept at (0,2)
3) As x → ∞, f(x) → ∞.2)
4) x → −4, f(x) → ∞
SHOW WORK
Answer:
4 IS THE ANSWER MATE
Step-by-step explanation:
Absolutely, I can do that!
Let's take a look at each statement:
1) f(x) has a y-intercept at (0,2)
To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:
f(0) = -log(0+4) + 2
f(0) = -log(4) + 2
f(0) = -0.602 + 2
f(0) = 1.398
Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.
2) The function -f(x) has a y-intercept at (0,2)
Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.
3) As x approaches positive infinity, the function f(x) approaches negative infinity.
The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.
4) As x approaches -4 from the right, the function f(x) approaches negative infinity.
As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.
In summary, statements (1) and (2) are false, while statements (3) and (4) are true.
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
PLEASE I NEED THIS QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve the following equation for B. Be sure to take into account whether a letter is capitalized or not F=-m+B/q³
After solving the given expression → F = - m + B/q³ for [B], we get -
B = q³(F + M).
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following equation -
F = - m + B/q³
We have the following equation -
F = - m + B/q³
On solving for [B], we get -
F + M = B/q³
B = q³(F + M)
Therefore, the given expression after solving for [B], we get -
B = q³(F + M).
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1.A bag contains 5 red balls and 4 blue balls. 3 balls are chosen, one at a time, and are not replaced. Find the probability that at least one of the 3 balls is blue. 2.A bag contains 3 red balls and 1 blue ball. A second bag contains 1 red ball and 1 blue ball. A ball is randomly picked from each bag and is then placed in the other bag. What is the expected number of red balls in the first bag?(mean or expected value)
When drawing 3 balls without replacement from a bag containing 5 red balls and 4 blue balls, we need to find the probability that at least one of the chosen balls is blue.
To find the probability that at least one of the 3 chosen balls is blue, we can calculate the probability of the complementary event (no blue balls are chosen) and subtract it from 1. When choosing the first ball, the probability of selecting a blue ball is 4/9.
With each subsequent draw, the number of balls and the total number of balls decrease by one. Thus, for the second ball, the probability of choosing a blue ball is 3/8, and for the third ball, it is 2/7.
Multiplying these probabilities together, we find that the probability of not selecting any blue balls is (5/9) * (4/8) * (3/7) = 60/504. Therefore, the probability of at least one blue ball is 1 - 60/504 = 444/504, which simplifies to 37/42.
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g Fisher's Exact Test is used when there are ______samples of categorical data. Group of answer choices two independent two paired more than two independent none of the above
Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.
Fisher's Exact Test is used when there are two independent samples of categorical data. This test is specifically designed to determine if there is a significant association between two categorical variables in a 2x2 contingency table.
It is commonly used when the sample size is small, which can cause issues with other statistical tests such as the chi-square test.
The two independent samples refer to two different groups or populations that are being compared. For example, we might be interested in comparing the success rates of a new drug treatment versus a placebo in a clinical trial, where success and failure are the two categories being considered.
Fisher's Exact Test calculates the probability of observing the data given the null hypothesis of no association between the variables. It does this by considering all possible arrangements of the data that have the same marginal totals. If the calculated probability is very small (typically less than 0.05), we reject the null hypothesis and conclude that there is a significant association between the variables.
In summary, Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.
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In an accounting class of 200 students, the mean and standard deviation of scores was 70 and 5, respectively. Use the empirical rule to determine the number of students who scored less than 65 or more than 75.
Approximately 64 students in the accounting class scored less than 65 or more than 75.
To solve this, we'll use the Empirical Rule, which states that for a normal distribution:
1. Approximately 68% of the data falls within one standard deviation of the mean.
2. Approximately 95% of the data falls within two standard deviations of the mean.
3. Approximately 99.7% of the data falls within three standard deviations of the mean.
In your accounting class, the mean score is 70, and the standard deviation is 5. We want to find the number of students who scored less than 65 (one standard deviation below the mean) or more than 75 (one standard deviation above the mean).
Using the Empirical Rule, we know that about 68% of students scored between 65 and 75 (within one standard deviation of the mean). Therefore, the remaining 32% of students scored either less than 65 or more than 75.
Since there are 200 students in the class, we can calculate the number of students who scored less than 65 or more than 75:
0.32 * 200 = 64 students
So, approximately 64 students in the accounting class scored less than 65 or more than 75.
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3x² = 20 - 7х ?????????????????
x=5/3
x=-4
This is simple just rearrange and sub into quadratic formula. The formula will spit out two answers and those are your final answers. Enjoy!
he united states has roughly 220 million cars for 300 million people. that equates to approximately 73% of all americans owning a car. china currently has 32 million cars for 1.3 billion people. if china suddenly had the same amount of car ownership as america how many cars would they have?
If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.
The United States has roughly 220 million cars for 300 million people. That equates to approximately 73% of all Americans owning a car. China currently has 32 million cars for 1.3 billion people. If China suddenly had the same amount of car ownership as America, they would have approximately 947 million cars.To calculate the number of cars China would have if they suddenly had the same amount of car ownership as America, we can use the following formula: 220 million / 300 million
= x / 1.3 billion We can then cross-multiply to solve for x:300 million * x
= 1.3 billion * 220 million x
= (1.3 billion * 220 million) / 300 million x
= 947 million. If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.
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The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that
• the probability of being awarded the first job (Event A) is 0.75;
• the probability of being awarded the second job (Event B) is 0.5; and
• the probability of being awarded both jobs (A and B) is 0.375.
If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?
If the owner's beliefs are correct, the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.
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Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
92 + ( -5 )
2+2
Answer:
6
Step-by-step explanation:
Answer:
92 + ( -5 ) , 2+2
Step-by-step explanation:
1) 92 + ( -5 )
= 92 - 5
= 87
2) 2 + 2 = 4
Jared's average daily balance for last month was $560. the finance charge was $8.12. what was the monthly percentage rate? what was the APR?
The mοnthly percentage rate is apprοximately 1.45% and the APR is apprοximately 17.4%.
Tο find the mοnthly percentage rate, we need tο divide the finance charge by the average daily balance:
Mοnthly percentage rate = finance charge / average daily balance
Mοnthly percentage rate = 8.12 / 560
Mοnthly percentage rate ≈ 0.0145
Tο find the APR, we need tο multiply the mοnthly percentage rate by the number οf mοnths in a year (12):
APR = mοnthly percentage rate x 12
APR ≈ 0.0145 x 12
APR ≈ 0.174
Therefοre, the mοnthly percentage rate is apprοximately 1.45% and the APR is apprοximately 17.4%.
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A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.
(a) How much of the wire should go to the square to maximize the total area enclosed by both figures?
(b) How much of the wire should go to the square to minimize the total area enclosed by both figures?
To maximize the total area, all of the wire should go to the square. To minimize the total area, the wire should be divided into two equal pieces, each of length 12.5 m.
(a) To maximize the total area enclosed by both figures, all of the wire should go to the square. This is because a square has the largest area of any quadrilateral with a given perimeter.
(b) To minimize the total area enclosed by both figures, all of the wire should go to the circle. This is because a circle has the smallest area of any shape with a given perimeter.
However, if we are only allowed to use the wire to make a square and a circle, then the minimum area is achieved when the wire is divided into two equal pieces, each of length 12.5 m. This is because the area of a square is proportional to the square of its side length, while the area of a circle is proportional to the square of its radius. Therefore, the total area is minimized when the square and the circle have the same area.
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