Answer:
vertical 7 and 4
supplementary 5 and 1
Answer:
1. vertical angles: <2 and <5
2. Supplementary angles: <6 and <2
Step-by-step explanation:
Vertical angles are angles that are opposite to each other
-they will always have the same measure
-examples from the picture: 2 and 5, 6 and 1, 3 and 8, 7 and 4
Supplementary angles are angles that add up to 180
-they will always be able to form a straight line
-examples from the picture: 1 and 5, 6 and 2, 1 and 2, 5 and 6, 3 and 7, 7 and 8, 3 and 4, 8 and 4
researchers are studying a population of small plants on an island. before and after a major drought, they dug up a random sample of plants and measured their root length. during the drought, no plant reproduction took place. what can be concluded from the plot below?
The correct conclusion that can be drawn from the plot is that the plant population had a significantly lower mean root length after the major drought occurred.
Explanation:
A frequency polygon is a graphical representation of a frequency distribution using line segments connected to points that indicate the midpoint of each class interval.
The horizontal axis shows the measurement variable, while the vertical axis shows the number of occurrences of the variable for each bin. The midpoint of each bin is used to represent the distribution of data that falls within that bin's range.
Since the values of adjacent bins overlap, the lines are connected. The points are connected by straight lines in a frequency polygon.
In this case, the conclusion that can be drawn from the plot is that the plant population had a significantly lower mean root length after the major drought occurred.
The peak of the frequency polygon has shifted to the left, indicating that the majority of plants have a shorter root length. The decrease in the mean root length of the plant population is due to the impact of the major drought on the island.
As a result, no plant reproduction took place, indicating a decrease in the plant population.
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HELP WITH THIS PROBLEM PLS PLS
Answer:
Here,
MP=MN+NP=17+3y
or, 5y+9=17+3y
Now do equation and find the value of y.
Answer:
MP = 29
mp = mn + np
17 + 3y = 5y + 9
2y = 8
y= 4, NP = 3(4) = 12
so, MP = mn + np.... 12 + 17
MP = 29
Suppose we have a sample size of 24 participants (N = 24). Record the critical values given the following values for k:
.05
.01
k = 2
k = 4
k = 6
k = 8
___
___
___
___
___
___
___
___
As k increases (from 1 to 8), does the critical value increase or decrease? Based on your answer, explain how k is related to power.
As k increases (from 1 to 8), the critical value increases. This is because as k increases, the probability of a Type I error decreases.
How is k related to power?A Type I error is the probability of rejecting the null hypothesis when it is true. By increasing the critical value, it is making it less likely to reject the null hypothesis when it is true.
Power is the probability of rejecting the null hypothesis when it is false. As k increases, power also increases. This is because as k increases, the difference between the two populations becomes more pronounced. This makes it more likely that we will be able to detect a difference between the two populations.
In conclusion, as k increases, the critical value increases and power also increases. This is because as k increases, the probability of a Type I error decreases and the difference between the two populations becomes more pronounced.
The critical values for a sample size of 24 participants (N = 24) given the following values for k is attached.
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When a survey uses the responses strongly disagree, disagree, neutral, agree, strongly agree, this is an example of: a.) nominal data b.) interval data c.) ratio data d.) ordinal data
When a survey uses the responses strongly disagree, disagree, neutral, agree, strongly agree, this is an example of ordinal data.
Hence option d is the correct answer.
Levels of measurement can tell the preciseness of a variable recorded. (Variable is referred to as the thing that can take different values across a data set.) Based on levels of measurement data can be classified into 4 types, as follows,
Nominal data - Nominal data can only be categorized.
Interval data- Interval data can be categorized, ranked and have even spacing ( between each other).
Ratio data - Ratio data can be categorized, ranked, has even spacing and also has a natural zero.
Ordinal data - Ordinal data can be categorized and ranked.
Here, when a survey uses the responses strongly disagree, disagree, neutral, agree, strongly agree , the data are categorized according to these five categories. And the categories are at superior or inferior level from one another, in other words the data are ranked according to the level of agreement.
Thus, the given is an example of ordinal data.
Hence option d is the correct answer.
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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can hold a maximum of 70 people. The drama club must make no less than $400 from ticket sales to cover the show's costs. Also, they can sell at most 50 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities for the given situation is
x +y ≤ 70.
$4x + $8x ≤ $400.
y ≤ 50.
And one possible solution is (40,30) and the graph of the inequality is attached below.
Inequality:
Inequality refers the non equal comparison of the expressions.
Given,
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can hold a maximum of 70 people. The drama club must make no less than $400 from ticket sales to cover the show's costs. Also, they can sell at most 50 adult tickets.
Here we need to find the system of inequalities graphically and also determine one possible solution for it.
Let us consider x represents the number of student tickets sold and y represents the number of adult tickets sold.
Therefore, in here we know that, they can sell at most 50 adult tickets.
Which means that the value of y can't be greater than 50.
So, in inequality it can be written as,
y ≤ 50.
And the total number of seats in the auditorium is 70.
Therefore,
x + y ≤ 70
And we also know that, they sells the ticket at the cost not less than $400.
So,
$4x + $8x ≤ $400.
Now, we have to plot those inequality on the graph, the we get he following graph.
In the graph, the blue line represents the inequality x + y ≤ 70 and the red line represents the inequality $4x + $8x ≤ $400.
While we looking into the graph we have identified that the solution of the graph is (40,30).
Which means there are 40 number of students and 30 number of adults.
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Which subset of real numbers is the best one to use to describe discrete data?numbers of students in a school district, the number of home runs hit by a baseball team, etc..,
GIVEN
The subset that best describes discrete data.
SOLUTION
Discrete data is a count that involves integers — only a limited number of values is possible.
Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers. These data are usually prefixed by "the number of..."
Whole numbers are the best for describing discrete data.
ANSWER
Whole numbers are the best subset of real numbers to describe discrete data.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement. Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 The tax rate Laura will pay on her investment income is %.
The answer is 15% on the test I just took. I got it correct.
How do I solve y=x-2 and y=3x+5?
Answer:
x = -7/2 and y = -11/2
Step-by-step explanation:
These equations are known as slope-intercept equations.
Slope-intercept equation are a type of linear equation.
The slope-intercept format is: y = mx + b
m = the slopeb = the y-interceptBecause there are two equations, this would be a system of equations.
So, to figure this out, we need to use the substitution method.
_____________________________________________
Problem:
Solve y=x−2;y=3x+5
Solution:
Step: Solve y=x−2 for y:
Step: Substitute x-2 for y in y = 3x + 5:
y = 3x + 5
x - 2 = 3x + 5
x−2+−3x=3x+5+−3x(Add -3x to both sides)
−2x−2=5
−2x−2+2=5+2(Add 2 to both sides)
−2x=7
-2x/-2 = 7/-2 (Divide both sides by -2)
x = -7/2
Step: Substitute -7/2 for x in y = x - 2:
y = x - 2
y = -7/2 - 2
y = -11/2(Simplify both sides of the equation)
Answer:
x = -7/2 and y = -11/2
find the value of k if the line joining the points P(k,7) amd Q(5k,-5) has gradient of 2
can u solve two questions. .. Mark brilliant student
sorry I don't know if you ask to other sure I think they will tell you ans
Which one is correct?
Answer:
3
Step-by-step explanation:
Given the following proposition:
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]
Given that A and B are true and X and Y are false, determine the truth value of Proposition 2A.
a.
True.
b.
False.
Therefore, the truth value of Proposition 2A is False.
To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:
A = True
B = True
X = False
Y = False
Now let's evaluate the truth value of each component of the proposition:
(X ⊃ A) • (B ⊃ ∼ Y):
(False ⊃ True) • (True ⊃ ∼ False)
(True ⊃ True) • (True ⊃ True)
True • True
True
(B ∨ Y) • (A ⊃ X):
(True ∨ False) • (True ⊃ False)
True • False
False
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:
True ⊃ False
False
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Subtract 2.53 x 105 from 1.3 x 108
Answer:
125.2 is your answer dear
Answer:
Step-by-step explanation:
2.53 x 105 is 265.65
1.3 x 108 is 140.4
now, Subtract 2.53 x 105 from 1.3 x 108
140.4 - 265.65
= -125.25
Hope this helps
plz mark as brainliest!!!!!!
To enter an arcade, Linus has to pay a $5 fee. In addition, every arcade game costs an additional $0.25 to play one round. The relationship between the amount of Linus' money spent, or C, and the number of rounds of arcade games played, or r, can be modeled by the equation C=0.25r+5.
The amount of Linus's money spent on 200 rounds of arcade game is $55.
The given question is incomplete, so
Lets suppose that Linus has played 200 round of arcade game and now we will need to determine the amount of Linus's money spent on 200 rounds of arcade game.
Entrance fee of an arcade = $5
Additional cost to play one round = $0.25
With the help of given equation ( C=0.25r+5 ) we will determine the amount of Linus's money spent on 200 rounds of arcade game.
'C' = The relationship between the amount of Linus' money spent
'r' = The number of rounds of arcade games played
Let's solve the equation now,
As we know that r is number of rounds Linus has played which is 200 rounds.
So, C = 0.25r+5
C = 0.25 × 200 + 5
C = 50 + 5
C = $55
Hence, we got that Linus has spent total $55 on 200 rounds of arcade game.
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chegg the number of successes and the sample size for a simple random sample from a population are given below. x, n, : p, : p, a. determine the sample proportion. b. decide whether using the one-proportion z-test is appropriate. c. if appropriate, use the one-proportion z-test to perform the specified hypothesis test.
Since, it is observed that z = -2.74 < \(Z_{\alpha} = -2.33\), it is then concluded that the null hypothesis is rejected.
What is a left-tailed test?
When the alternative hypothesis asserts that the true value of the parameter indicated in the null hypothesis is lower than the null hypothesis indicates, a left-tailed test is utilized.
This is a left-tailed test.
Test statistics
\(z = (\hat p - p_{0} ) / \sqrt{} p_{0}*(1-p_{0}) / n\)
= \(\sqrt{} (0.4*0.6) / 45\)\(= ( 0.2 - 0.4) \div \sqrt{} (0.4*0.6) / 45\)
= -2.74
The critical value of the significance level is α = 0.01, and the critical value for a left-tailed test is:
\(Z_{\alpha} = -2.33\)
Hence, it is observed that z = -2.74 < \(Z_{\alpha} = -2.33\), it is then concluded that the null hypothesis is rejected.
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A car drives straight off the edge of a cliff that is 54 m high. The police at the scene of the accident observe that the point of impact is 130 m from the base of the cliff. How fast was the car traveling when it went over the cliff? This is a 2 dimensional projectile motion problem!
The car fast was traveling it went over the cliff is : 39.2 m/sec
Motion:For an object in projectile motion, we know that the object undergoes through two displacements. There is the vertical displacement and the horizontal displacement.
In our case, let t be the time taken by the car to reach the point of impact from the time it goes off the edge of the cliff. In the vertical direction, it takes the car a time t to travel a distance of 54m. From the equations of motion, we have
s = ut + 0.5a\(t^2\)
where s is the distance traveled by an objecting with an initial speed u accelerating with an acceleration a for a time t. Therefore, in the vertical direction, we have
y = 54m = 0.5 × 9.81 m/\(sec^2\) × \(t^2\)
From here we solve for the time it takes to travel this vertical distance as
t = 3.31800 s
Note that this is the same time taken to travel the horizontal distance of 130 m and remember that we do not have any acceleration in the horizontal direction. Using the same equation, we get the expression
x = 130 m = u × 3.31800 s
Solving for the initial velocity u, we get
u = 130 m ÷ 3.13800 s = 39.2 m/sec
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Please help me. Will give Brain
Answer:
TY SIR PLS DONATE UR BRAIN AS SAID IN THE QUESTION
Ordered pair of (9, -9)
Answer:
whats the question
Step-by-step explanation:
Answer:
[45]
hope this helps
there are seven separate, equal-size boxes, and inside each box there are six separate small boxes, and inside each of the small boxes there are five even smaller boxes. how many boxes are there all together?
A total of 1470 boxes are there all together if there are seven separate, equal-size boxes, and inside each box there are six separate small boxes, and inside each of the small boxes there are five even smaller.
Starting from the smallest boxes, we have 5 boxes inside each of the 6 small boxes, giving us a total of 5 x 6 = 30 boxes in each of the 7 medium boxes.
Therefore, there are a total of
30 x 7 = 210 boxes in the medium boxes.
Finally, we have 7 of these medium boxes, giving us a total of
210 x 7 = 1470 boxes in all.
Thus, there are a total of 1470 boxes altogether in the seven separate, equal-size boxes, each containing six separate small boxes, and each small box containing five even smaller boxes.
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What’s the answer for 350÷10*3
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=100(0.971)^x
The change represents decay and the percentage decrease is 2.9%
Exponential function
The standard exponential function is expressed as y = ab^x
where:
a is the initial
b is the rate
If the value of b is less than 1 hence the function is decay and if greater than 1, the function is growth
GIven the expoenential function y=100(0.971)^x
Since the value of b = 0.971 < 1, hence the function is a decay.
The percentage decrease = 1 - 0.971 = 2.9%
Hence the percentage decrease is 2.9%
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Round 2,861 to the nearest hundred
Hey there!
2,891
= 200,000 + 800 + 90 + 01
= two-hundred thousand, eight hundred ninety one
Thousand:
2,000
Hundred:
900
Tens:
90
Ones:
1
Based on that information we can answer your question
SIMPLIFY IT
ANSWER: 2,900
[2,000 + 900 + 0 + 0]
[two thousand + nine hundred]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
(4,y) and (0,5); m = 3/4
Answer:
4.25 0r 5.75
Step-by-step explanation:
Answer:
I'm sorry but is this something I can help wih or am I just not understanding? Sorry :')
If you need help let me know what it means and then I can try to help if not then I will delete this answer so someone else can answer.
Step-by-step explanation:
The time constant of RC circuit is the time in which the current decreases to _____ of its initia value
a. 1/10
b. ½
c. 1/√2
d. 1/╥
e. 1/e
The correct solution to this problem is option e. 1/e. We can find it in the following manner.
The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.
This can be derived from the equation for the current in an RC circuit:
\(I=10 * e^({-t/RC} )\)
where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.
To find the time constant, we set the exponent to -1:
\(e^({-t/RC} ) = 1 /e\)
Solving for t/RC, we get:
t/RC = 1
Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.
So the answer is e. 1/e.
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17. Which statement is NOT true?
If x²= 100, then x = 10.
If x=10, then x² = 100.
If x=-10, then x² = 100.
x² = 100 if and only if x = 10 or x = -10.
The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."
The statement that is NOT true is:
If x = -10, then x² = 100.
The other three statements are all true:
If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.
If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.
This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.
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The table shows the number of books donated to a library each month. Suppose the growth continues exponentially.How many books were donated to the library in Month 8?Round to the nearest whole number.Enter your answer in the box.
The general exponential function is,
\(f(x)=a\cdot(b)^x\)For x = 0, f(x) = 80. So,
\(\begin{gathered} 80=a\cdot(b)^0 \\ 80=a\cdot1 \\ a=80 \end{gathered}\)For x = 1, f(x) = 100 and a = 80. So,
\(\begin{gathered} 100=80\cdot(b)^1 \\ b=\frac{100}{80} \\ =1.25 \end{gathered}\)So exponential function is,
\(f(x)=80\cdot(1.25)^x\)Substitute 8 for x in the function to determine the number of books in 8th month.
\(\begin{gathered} f(8)=80\cdot(1.25)^8 \\ =476.83 \\ \approx477 \end{gathered}\)So in 8th month number of book denoted is 477.
In a binomial situation, n=18 and π=0.60. Determine the expected
value
The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.
In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.
In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.
n = 18 (number of trials)
π = 0.60 (probability of success for each trial)
To find the expected value:
E(X) = np
Substitute the given values:
E(X) = 18 * 0.60
Calculate the expected value:
E(X) = 10.8
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There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
intergrate x×(x²-3)³
Answer: \(\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}\)
Step-by-step explanation:
\(\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c\)
what is the probability that the waves are turbulent given that the water is cold? round your answer to the nearest millionth, of necessary.
The probability that the waves are turbulent given that the water is cold is approximately 0.112 (rounded to the nearest millionth).
Given that the water is cold, the probability that the waves are turbulent needs to be found. Let's apply the Bayes' Theorem to find the probability of the waves being turbulent given that the water is cold.
The formula for Bayes' Theorem is as follows:
P(B|A)={P(A|B)\ P(B)} * {P(A)}
Where, P(B|A) is the probability of event B given that event A has occurred, P(A|B) is the probability of event A given that event B has occurred, P(A) is the probability of event A, and P(B) is the probability of event B. The question requires us to find the probability of the waves being turbulent given that the water is cold. So, the conditional probability we need to find is P(T|C), where T represents the event of waves being turbulent and C represents the event of the water being cold. The given probabilities are:
P(T)=0.36
P(T^C)=0.64
P(C|T)=0.21
P(C|T^C)=0.51
By the complement rule, P(C)=1-P(C^C)
P(C)=1-0.15=0.85
Let's substitute the given probabilities into the Bayes' Theorem formula and solve for
P(T|C) :
(T|C)={P(C|T)\ P(T)} * {P(C|T)\P(T)+P(C|T^C)\ P(T^C)}={0.21\ 0.36} * {0.21\0.36+0.51\ 0.64} = 0.112
Therefore, the probability that the waves are turbulent given that the water is cold is approximately 0.112 (rounded to the nearest millionth).
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