a)The slope of the parallel line is 5. b)The slope of the perpendicular line is -5.
a) The slope of a line represents the rate at which the line rises or falls as it moves horizontally. For the given line y=5x the slope is 5. This means that for every unit increase in the x-coordinate, the corresponding y-coordinate increases by 5.
b)Perpendicular lines have a product of slopes equal to -1. To find the slope of a line perpendicular to y=5x, we take the negative reciprocal of the slope of the given line. The negative reciprocal of 5 is -1/5. This means that for a line perpendicular to y=5x, for every unit increase in the x-coordinate, the corresponding y-coordinate decreases by 1/5 (or vice versa).
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The correct question is given below-
For the line given by,y=5 x, find the slope of a line that is: a) Parallel to the given line: b) Perpendicular to the given line.
Evaluate x−y if x=−5 1/4 and y=−6.8 . Write your answer in simplest form.
The answer i got is -1.55, im not sure though
The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression, x - y
x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75
y = -6.8
Substitute x and y into the above expression,
-4.75 - (-6.8) = 2.05
Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".
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Unit: Inference comparing two groups or populations Unit test Owen lives in New York City and his brother Karson lives in Boston. They both complained about the high prices of avocado in their neighborhoods, so they decided to test whether there's a difference in the average price of avocado. Each of them took a random sample of shops in their neighborhoods and got the price of avocado from each shop. Then, they calculated the average price in each group. Assume that all conditions for inference have been met. Which of these is the most appropriate test and alternative hypothesis?
Answer:
two-sample t test with Ha: Unew york city (not equal) Uboston
Step-by-step explanation:
khan
Tell whether x and y show a positive correlation, a negative correlation, or relatively no correlation.
2.) No correlation
3.) Negative correlation
Step-by-step explanation:
A ball bounces from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?
Answer:
2.6 feet
Step-by-step explanation:
At each point, there is a loss of 20% (since it flies to 80%)
a) 8 - 20% of 8
= 8-1.6 = 6.4
b) 6.4 - 20% of 6.4
= 5.12
c) 5.12 - 20% of 5.12
4.096
d) 4.096 - 20% of 4.096
3.2768
e) 3.2768 - 20% of 3.2768
= 2.62144 feet
12)a sample of customers from barnsboro national bank shows an average account balance of $315 with a standard deviation of $87. a sample of customers from wellington savings and loan shows an average account balance of $8350 with a standard deviation of $1800. which statement about account balances is correct? a) barnsboro bank has more variation. b) wellington s
A sample of customers from barnsboro national bank shows an average account balance of 315 with a standard deviation of 87. a sample of customers from wellington savings and loan shows an average account balance of 8350 with a standard deviation of 1800. Option A: Barnsboro Bank has more variation.So, the correct option is A) Barnsboro Bank has more variation.
The given data is:
A sample of customers from Barnsboro National Bank shows an average account balance of 315 with a standard deviation of 87.
A sample of customers from Wellington Savings and Loan shows an average account balance of 8350 with a standard deviation of 1800.
To compare the variation in the account balances of both banks, we use the coefficient of variation (CV).
CV = Standard deviation / Mean
CV of Barnsboro National Bank = 87/315 ≈ 0.2762
CV of Wellington Savings and Loan = 1800/8350 ≈ 0.2150
The CV of Barnsboro National Bank is greater than the CV of Wellington Savings and Loan.
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A package of 8 batteries costs 4.72. What is the cost per battery
Answer:
the price of one battery is 50 cents plus tax
Step-by-step explanation:
the price of one battery is 50 cents because if you count by 50s its 4 dollars and then plus tax it would be around 4.72.
Given: 5n - 42 = 12n
Prove: n = -6
I need statements and reasons
Answer:
5n-42 = 12n
-5n -5n
----------------------
-42 = 7n
___ ___
7 7
--------------------------
-6 = n
Step-by-step explanation:
um for reasoning: get all the n variables to one side and solve for n (dont know how much more to reason)
There are 16 students in a class and 75% of these students passed their test. What number of these students passed their test?
Answer: 12 students passed their test
Answer:
12 students
Step-by-step explanation:
16 x .75 = 12
During taylor's experiment, which piece of data would be qualitative?
There isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
What is qualitative data?Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.
In contrast, there is quantitative data which can be expressed numerically.
The problem is missing its option, which are:
mass of the carsdegree of the ramp inclinetime in secondsnone are qualitativeMass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).
Thus, there isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
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Please help me with this
I’ll mark you brainly
Answer:
3/4
Step-by-step explanation:
You go positive 3 on the x-axis, and positive 4 on the y-axis, making it 3/4.
At which of the given values is the graph discontinuous?
a. 7
b. -2
C. -4
d. 0
The equation 3xy = 9 is a linear equation.
Group of answer choices:
True or False
Linear equations are a subset of non-linear equations, and the equation 3xy = 9 is a non-linear equation.
The equation 3xy = 9 is not a linear equation. It is a non-linear equation. Linear equations are first-degree equations, meaning that the exponent of all variables is 1. A linear equation is represented in the form y = mx + b, where m and b are constants.
The variables in linear equations are not raised to powers higher than 1, making it easier to graph them. In contrast, non-linear equations are any equations that cannot be written in the form y = mx + b. Non-linear equations have at least one variable with an exponent that is greater than or equal to 2. Non-linear equations are harder to graph than linear equations.
The answer is false, the equation 3xy = 9 is a non-linear equation, not a linear equation. Non-linear equations are any equations that cannot be written in the form y = mx + b. They have at least one variable with an exponent that is greater than or equal to 2.
Linear equations are a subset of non-linear equations, and the equation 3xy = 9 is a non-linear equation.
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suppose that inches 23 of wire costs 92 cents .at the same rate, how much (in cents) will 34 inches of wire cost?
The required cost of 34 inches of wire as per the cost of 23 inches of wire is 92 cents is equals to 136 cents.
Let x be the cost (in cents) of 34 inches of wire.
We know that 23 inches of wire costs 92 cents,
Use a proportion to solve this problem,
23 inches / 92 cents = 34 inches / x cents
To solve for x, apply cross-multiply and simplify,
⇒ 23 inches × x cents = 92 cents × 34 inches
⇒ 23x = 3128
⇒ x = 3128/23
⇒ x ≈ 136.00 cents
Therefore, the cost of 34 inches of wire will be approximately 136 cents.
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At \( 100 \mathrm{~km} / \mathrm{hr} \), how long would it take to travel through the (thickest) oceanic crust? Choose one: A. 1 hour B. 30 minutes C. 6 hours D. 6 minutes
It would take approximately 6 minutes to travel through the thickest oceanic crust at a speed of 100 km/hr.
To determine the time it would take to travel through the thickest oceanic crust at a speed of 100 km/hr, we need to know the thickness of the oceanic crust.
The oceanic crust is the outermost layer of the ocean floor and is generally thinner than the continental crust. On average, the thickness of the oceanic crust ranges from 5 to 10 kilometers (km). However, the thickness can vary depending on the specific location and geological factors.
Assuming we consider the thickest part of the oceanic crust, which could be up to 10 km thick, we can calculate the time it would take to travel through it at a speed of 100 km/hr.
Using the formula Time = Distance / Speed, we can determine the time as follows:
Time = (Thickness of Oceanic Crust) / (Speed)
Time = 10 km / 100 km/hr = 0.1 hr
Converting 0.1 hour to minutes, we have:
Time = 0.1 hr * 60 min/hr = 6 minutes
The correct answer is D. 6 minutes. This calculation is based on the assumption that we are considering the thickest part of the oceanic crust, which is approximately 10 km thick. It's important to note that the actual thickness of the oceanic crust can vary, and the time required would depend on the specific thickness encountered during the journey.
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It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Who or why not?
No, we cannot use the binomial probability formula with x counting the number who are left-handed in this case
This is because the adults surveyed were selected without replacement. The binomial distribution requires that the samples are independent and identically distributed (i.e., the probability of success remains constant for each trial).
However, when we sample without replacement, the probabilities are not constant because the population size changes with each selection. This means that the probability of selecting a left-handed person for the first selection is not the same as the probability of selecting a left-handed person for the second selection, and so on. Therefore, we cannot use the binomial distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population.
Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population. The hypergeometric distribution takes into account the changing probabilities as each selection is made without assuming that the selections are independent.
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Which transformation(s) can be used to map one triangle onto the other? select two options. Reflection onlytranslation onlydilation, then translationrotation, then translationrotation then dilation.
The transformation which can be used for mapping one triangle to another is; Only translation, Rotation then dilation.
What is transformatiuons?
People's opinions on the proposed transformation of their town into the regional capital are divided. a total change in the appearance or character of something or someone, especially so that it is improved.
Here, we have
We need to map one triangle to another ;
Hence, for mapping one triangle to another,
The transformation which can be used from the given options is; Only translation, Rotation then dilation.
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The correct transformation(s) that can be used to map one triangle onto the other are:
1. Translation only
2. Rotation, then translation
Both triangles have congruent sides J K, K L, L M, and M J. To map one triangle onto the other, we can apply a translation, which simply moves the entire triangle in a specific direction, without changing its shape or size.
Alternatively, we can also apply a rotation, followed by a translation, to map one triangle onto the other. This involves rotating one triangle around a fixed point, and then moving it to its final position using a translation. Since the triangles are congruent by SSS, we can use the fact that the corresponding sides are equal in length to determine the amount of rotation needed. The fixed point could be any point, such as the midpoint of KL.
Therefore, the correct transformation options are translation only and rotation, then translation.
majors in a random survey of students concerning student activities, engineering majors, business majors, science majors, and liberal arts majors were selected. if two students are selected at random, what is the probability of getting
The probability of getting two students with the same major is higher for liberal arts majors, followed by business majors, engineering majors, and science majors.
To calculate the probability of getting two specific majors when selecting two students at random, we need to know the total number of students in each major. Let's assume there are 100 engineering majors, 150 business majors, 75 science majors, and 200 liberal arts majors.
The probability of selecting an engineering major as the first student is 100/525 (total number of students). The probability of selecting another engineering major as the second student is 99/524 (one less student in the pool). Multiplying these probabilities gives us 0.036 or 3.6% chance of getting two engineering majors.
Similarly, the probability of getting two business majors is (150/525) * (149/524) = 0.082 or 8.2%, two science majors is (75/525) * (74/524) = 0.023 or 2.3%, and two liberal arts majors is (200/525) * (199/524) = 0.151 or 15.1%.
Therefore, the probability of getting two students with the same major is higher for liberal arts majors, followed by business majors, engineering majors, and science majors.
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A surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? approximate to the nearest degree. cosâ€""1(0.75) = 41° cosâ€""1(0.125) = 83° cosâ€""1(0.563) = 56° cosâ€""1(0.15) = 89°
The surveyor determines the angle of the triangular plot by using the inverse cosine function with a given value of cos⁻¹(0.15). The result of approximately 89° represents the approximate measure of the angle at which the surveyor stands in relation to the sides of the plot.
Among the given options for the inverse cosine values, the measure of the angle of the triangular plot at which the surveyor stands is determined by the value of cos⁻¹(0.15), which is approximately 89°.
Each result represents the measure of the angle at which the surveyor stands in relation to the sides of the triangular plot. It's important to note that these results are approximate values rounded to the nearest degree.
By using the given cosine values and applying the inverse cosine function, the surveyor can determine the approximate angle of the triangular plot.
Therefore, The approximate measure of the angle of the triangular plot at which the surveyor stands is 89°.
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Question-
A surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? Approximate to the nearest degree.
cos^(-1)(0.75) ≈ 41°
cos^(-1)(0.125) ≈ 83°
cos^(-1)(0.563) ≈ 56°
cos^(-1)(0.15) ≈ 89°
Which expression is equivalent to the one shown below (427-30) A 121 B. 120 C. -12° D.-126
Given the expression:
\((4x^2)(-3x^3)\)Multiplying the coefficents 4 and -3 give -12
Multiplying the variables by summing the exponents
So,
\(\begin{gathered} (4x^2)(-3x^3)=(4\cdot-3)x^{2+3} \\ \\ -12x^5 \end{gathered}\)So, the answer will be -12 x^5
According to albert einstein, what is the greatest mathematical discovery of all time?.
Answer:
E=Mc squared
Step-by-step explanation:
is it possible for a matrix with all positive entries to have negative determinant? give an example or prove this is impossibl
Yes, it's possible.
A simple example
\(A={\begin{vmatrix}2&3\\5&1\end{vmatrix}}\\\\\det A=2\cdot1-3\cdot5=2-15=-13\)
Anybody know the RIGHT answer?
Given:
The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.
To find:
The unit for the rate of change.
Solution:
We know that, rate of change is the change in y-values with respect to x-values, i.e.,
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.
Thus, the unit of rate of change is dollars per camper.
Therefore, the correct option is D.
pls help will give brianly for help Find the quotient:
–20 ÷ 5
Answer:
The answer is -4 :)
Step-by-step explanation:
Answer:
-20 divided by 5 = -4
Step-by-step explanation:
Answer this question fast please
The probability that a randomly selected student prefers the arts or does not prefer literature is 8/11.
There are different ways to approach this problem, but one possible method is to use the concept of complement events.
First, we can calculate the probability of a randomly selected student preferring the arts. This is simply the proportion of students in the sample who prefer the arts, which is 9 out of 3+9+10 = 22. So, the probability is:
P(arts) = 9/22
Next, we can calculate the probability of a randomly selected student preferring literature. This is the proportion of students in the sample who prefer literature, which is 7+8 = 15 out of 22. So, the probability is:
P(literature) = 15/22
To find the probability of a student preferring the arts or not preferring literature, we can use the complement event that consists of students who do not prefer literature. This is the complement of the event "preferring literature", and its probability is:
P(not literature) = 1 - P(literature) = 1 - 15/22 = 7/22
Finally, we can use the addition rule for disjoint events (i.e., events that cannot occur at the same time) to calculate the probability of the event "preferring the arts or not preferring literature".
Since these events are not mutually exclusive (i.e., some students may prefer both the arts and literature), we need to subtract their intersection (i.e., students who prefer both) to avoid double-counting. Therefore, the probability is:
P(arts or not literature) = P(arts) + P(not literature) - P(arts and literature)
= 9/22 + 7/22 - 0
= 16/22
= 8/11
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Which of the following is most likely to form when one tectonic plate is pushed with great force under another tectonic plate below the ocean? (4 points)
a
Continental rift
b
Fault
c
Mid-ocean ridge
d
Tsunami
Answer:
D I did the test on Ed.......................................
9 ( x - 5 ) = -108 solve for x
Answer:
x = -7
Step-by-step explanation:
9 ( x - 5 ) = -108
9x - 45 = -108
add 45 to each side of the equation:
9x = -63
divide both sides by 9:
x = -7
Answer:
x = - 7
Step-by-step explanation:
9(x - 5) = - 108
9x - 45 = - 108
9x - 45 + 45 = - 108 + 45
9x = - 63
9x ÷ 9 = - 63 ÷ 9
x = - 7
The diagram shows a convex polygon.
b+7°
2b
What is the value of b?
140⁰
b+9⁰
The diagram shows a convex polygon. 57.67 degrees, is the value of b.
Any polygon whose inner angles are all less than 180 degrees and whose vertices all point outward is said to be convex. It has a minimum of three sides and angles and is closed.
Setting up an equation, we get:
b + 7 + 2b = 180 (sum of angles in a triangle)
3b + 7 = 180
3b = 173
b = 57.67 degrees (rounded to two decimal places).
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A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the base and height of the triangle?. Single choice.
(10 Points)
base = 3 units, height = 2 units
base = 3 units, height = 3 units
base = 2 units, height = 3 units
base = 3 units, height = 4 units
Answer:
base 3, height 3
Step-by-step explanation:
5-2=3 4-1=3
you roll a 6-sided dice. what is the probability that you rolled a 5, given that the number rolled was greater than 3?
The probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.
We need to find the probability that you rolled a 5, given that the number rolled was greater than 3. Let's break this down step by step:
1. Identify the total number of outcomes: Since it is a 6-sided dice, there are 6 possible outcomes (1, 2, 3, 4, 5, and 6).
2. Determine the number of outcomes greater than 3: The outcomes greater than 3 are 4, 5, and 6. There are 3 possible outcomes that satisfy this condition.
3. Identify the number of outcomes that result in rolling a 5: There is only 1 outcome that results in rolling a 5.
4. Calculate the probability: To find the probability, divide the number of outcomes that result in rolling a 5 (1) by the total number of outcomes greater than 3 (3).
Probability = (Number of outcomes with a 5) / (Number of outcomes greater than 3) = 1/3
So, the probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.
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The probability that the number rolled was a 5, given that it was greater than 3, is \($\frac{1}{3}$\).
The number rolled was greater than 3, it must be either a 4, 5, or 6.
The probability that the number rolled was a 5, given that it was greater than 3.
Let \($A$\) be the event that the number rolled is a 5 and let \($B$\) be the event that the number rolled is greater than 3.
Then, we want to find. \($P(A|B)$\), the probability of \($A$\) given \($B$\).
By Bayes' theorem, we have:
Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event.
The risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately by conditioning it relative to their age, rather than simply assuming that the individual is typical of the population as a whole.
One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference.
The probabilities involved in the theorem may have different probability interpretations.
Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence.
Bayesian inference is fundamental to Bayesian statistics, being considered by one authority as; "to the theory of probability what Pythagoras's theorem is to geometry."
\($P(A|B) = \frac{P(B|A)P(A)}{P(B)}$\)
\($P(A) = \frac{1}{6}$\), since there is only one way to roll a 5 on a 6-sided die.
\($P(B) = \frac{3}{6} = \frac{1}{2}$\), since there are three outcomes (4, 5, or 6) that satisfy. \($B$\), out of a total of six possible outcomes.
\($P(B|A)$\), the probability of rolling a number greater than 3, given that the number rolled is a 5, note that. \($B$\) is true only if the number rolled is a 4, 5, or 6.
Since there is only one way to roll a 5, and only one of these three outcomes satisfies. \($A$\), we have:
\($P(B|A) = \frac{1}{1} = 1$\)
Substituting these values into Bayes' theorem, we get:
\($P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{1 \cdot \frac{1}{6}}{\frac{1}{2}} = \frac{1}{3}$\)
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Please help
WILL MARK BRAINLIEST
Answer:
4
Step-by-step explanation:
(8x-2)+15x+90=180
Combine like terms
23x+88=180
-88 -88
23x=92
÷23 ÷23
X=4