Answer:The solution is x= +6, -6.
Step-by-step explanation:
What is Quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written.
Roots of a Quadratic Equation
The roots of a quadratic equation are the two values of x, which are obtained by solving the quadratic equation. These roots of the quadratic equation are also called the zeros of the equation.
Given:
x² - 36 =0
x² = 36
x= √36
x= ±6
hence, the solution is x= +6, -6.
Please help me so i can finish my homework
Answer:
[tex]\frac{1}{4}[/tex]w + 3
Step-by-step explanation:
Helping in the name of Jesus.
Hi can someone help me with finding out the equation for this word problem
The equation of the word problem is x-4n.
What is word problem?A word problem is a math problem written out as a short story or scenario. This mathematical statement are interpreted into mathematical equation or expression.
Representing the total number of sheep in the flock by x and representing the number of weeks by n. Therefore the remaining sheep in the flock for the number of weeks will be expressed as
x - 4n.
Therefore the equation for the word problem is x - 4n.
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HELP!! 10 POINTS
uhm yeah thats all I've got to say
The correct statement regarding the middle 50% of the data-set is given as follows:
C. The box, from 41 to 56.
What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.The box, from the 25th percentile of 41 to the 75th percentile of 56, shows the middle 50% of the data-set.
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In triangle ∆ABC, m<A = 33°, m<C = 58°, and AB = 25 in. What is AC to the nearest tenth of an inch?
1. 16.1 in.
2. 38.9 in
3. 42 in.
4. 12 in.
The length of AC using the laws of sines is 29.5 inches
Calculating the length of ACWe can use the law of sines to solve this problem.
The law of sines states that in any triangle ∆ABC:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides opposite to the angles A, B, and C, respectively.
In this case, we know that m<A = 33°, m<C = 58°, and AB = 25 in.
We need to find AC, which is opposite to angle A.
Let's use the law of sines to solve for AC:
AC/sin(B) = AB/sin(C)
Where
B = 180 - 33 - 58
B = 89
So, we have
AC/sin(89°) = 25/sin(58°)
This gives
AC = 29.5 in. (rounded to the nearest tenth)
Therefore, the answer is 29.5 inches
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Jody's team scored 26, 25, 34, 28, and 32 points at the last five basketball games.
What does the mean number of points Jody's team scored represent?
Responses:
A mean of 29 means that the data values are relatively close together and Jody's team scored around 29 points each game.
A mean of 29 points means that the data is very spread out.
A mean of 29 points means that Jody's team scored exactly 29 points in each of the last 5 games.
Answer: A
Step-by-step explanation:
There are four security stations placed around a
stadium, labeled A through D in the figure. Each
station will be occupied by a guard chosen
randomly from a group of 6 volunteers: Aaron,
Blake, Chelsea, Daria, Eddie, and Francis. What is
the probability that Daria and Blake will be chosen
to be the security guards?
A) 1/15
B) 2/15
C) 4/15
D) 2/5
The probability of Daria and Blake being chosen together is 1/15. So correct option is A.
Describe Probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probabilities can be expressed as fractions, decimals, or percentages.
The concept of probability is used in a wide range of fields, including mathematics, statistics, science, engineering, finance, and economics. It is used to make predictions and decisions based on uncertain outcomes.
The probability of an event can be calculated by dividing the number of ways the event can occur by the total number of possible outcomes. This is known as the classical definition of probability. Other methods of calculating probability include empirical probability, which is based on observations or experiments, and subjective probability, which is based on personal judgment or opinion.
The total number of ways to choose 2 guards from 6 volunteers is given by the combination formula:
C(6,2) = 6! / (2! * 4!) = 15
Out of these 15 possible combinations, there is only one way to choose Daria and Blake together. Therefore, the probability of Daria and Blake being chosen together is:
1/15
So, the answer is (A) 1/15.
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Charlie made the following table to record the height of each person in his family.
If Cheyenne and Hannah lay end to end, how far will they reach?
A. 9
B. 9, 1/2
C. 10
D. 8
justin developed the below hypothesis. h1: younger adults (18-28 years old) spend more time on social media than the middle-aged (29-65 years old) group and older adults (older than 65 years old). what statistical test should he use to test his hypothesis?
To verify if older adults and middles ages people spend less time on social media, Justin can use the Analysis of variance (ANOVA) test.
ANOVA is used to compare means across two or more groups. Justin can use this test on the different category of younger adults, middle-aged and older adult. This test is done when there is statistically significant difference between the group of samples.
Justin can utilize post-hoc tests (such as Tukey's HSD and Bonferroni) to identify whether particular groups are statistically different from one another if an ANOVA shows a significant difference.
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wants to know if there is a difference in the average annual household income between those who own their own homes and those who rent. she has measured household income on a ratio scale, based on the annual take-home pay of residents. what statistical test should she use to examine this difference?
Use an independent samples t-test to compare annual household income between homeowners and renters, considering within-group variability and determining statistical significance.
To look at the distinction in the normal yearly family pay between the people who own their own homes and the individuals who lease, a suitable factual test to utilize would be an autonomous examples t-test.
This test is utilized to think about the method for two autonomous gatherings, for this situation, the gathering of property holders and the gathering of tenants.
As the family pay is estimated on a proportion scale, the t-test can be utilized to decide whether there is a huge distinction in the method for the two gatherings, considering the changeability inside each gathering.
The consequences of the t-test will give a p-esteem, which can be utilized to decide the factual meaning of any distinctions tracked down between the two gatherings.
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Find the distance, d, of AB.
The distance between A and B is approximately 8.06 units.
In order to find the distance, d, of AB, we need to use the distance formula. The distance formula gives us the distance between two points in a coordinate plane. It is given as:$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ where (x1, y1) and (x2, y2) are the coordinates of the two points in question.
In this case, A and B are the two points for which we need to find the distance. Let's assume that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2).
Then the distance formula becomes:
$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
$$d = \sqrt{((8 + 4) - 2)^2 + ((5 - 1) - 3)^2}$$
$$d = \sqrt{(10 - 2)^2 + (4 - 3)^2}$$
$$d = \sqrt{(8)^2 + (1)^2}$$
$$d = \sqrt{64 + 1}$$
$$d \approx \sqrt{65}$$
$$d \approx 8.06$$
Therefore, the distance between A and B is approximately 8.06 units.
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you place in a dark bag 24 marbles. 12 marbles are red, 5 marbles are blue and 7 marbles are yellow. you select 2 random marbles (one after the other without putting the first back in). what is the probability that the marbles have the same color?
The probability of selecting two marbles with the same color is approximately 0.27 or 27%.
To work out the likelihood that the two marbles drawn have similar variety, we can utilize the accompanying advances:
In the first place, we compute the likelihood of drawing a red marble on the principal pick: 12/24 = 1/2.
On the off chance that the main marble drawn is red, there will be 11 red marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more red marble on the subsequent pick is 11/23.
Likewise, in the event that the principal marble drawn is blue, there will be 4 blue marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more blue marble on the subsequent pick is 4/23.
Furthermore, on the off chance that the main marble drawn is yellow, there will be 6 yellow marbles left taken care of, out of a sum of 23 marbles. So the likelihood of drawing one more yellow marble on the subsequent pick is 6/23.
To get the complete likelihood of drawing two marbles of similar variety, we want to add the probabilities of every one of these cases:
(1/2) x (11/23) + (5/24) x (4/23) + (7/24) x (6/23) = 55/138 or roughly 0.398 or 39.8%.
In this way, the likelihood of drawing two marbles of a similar variety is roughly 39.8%.
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Find the three trigonometric ratios . If needed, reduce fractions.
The trigonometric ratios with respect to the angle C are:
sin(C) = 15/17, cos(C) = 8/17, tan(C) = 15/8, cosec(C) = 17/15, sec(C) = 17/8, cot(C) = 8/15
What is trigonometric ratios?Trigonometric ratios are ratios of the sides of a right triangle used to calculate angles and side lengths.
The three main ratios are sine, cosine, and tangent, which are defined as the ratios of the opposite, adjacent, and hypotenuse sides.
Using the right triangle ABC, we can find the trigonometric ratios with respect to angle C:
sin(C) = opposite/hypotenuse = AB/AC = 15/17
cos(C) = adjacent/hypotenuse = BC/AC = 8/17
tan(C) = opposite/adjacent = AB/BC = 15/8
cosec(C) = 1/sin(C) = AC/AB = 17/15
sec(C) = 1/cos(C) = AC/BC = 17/8
cot(C) = 1/tan(C) = BC/AB = 8/15
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Is 20/√40 the same as 1/√2
Answer:
Step-by-step explanation:
[tex]\sqrt{40}[/tex] = [tex]\sqrt{4}[/tex] x [tex]\sqrt{10}[/tex] = [tex]2\sqrt{10[/tex]
[tex]\frac{20}{2\sqrt{10} }[/tex] = [tex]\frac{10}{\sqrt{10} }[/tex]
[tex]\frac{10}{\sqrt{10} } * \frac{\sqrt{10} }{\sqrt{10} } = \frac{10\sqrt{10} }{10} = \sqrt{10} }[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{1}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} } = \frac{\sqrt{2} }{2}[/tex]
From the above since [tex]\frac{20}{\sqrt{40} }[/tex] is not equal to [tex]\frac{1}{\sqrt{2} }[/tex] it implies that they are not the same
Your classmates Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents his or her proposal for the amount of money raised, y, for x number of hours worked, in different ways. Part A: Are each of the proposals represented by linear functions? Explain. Refer to lesson 7. 4 Comparing Linear and Non-Linear Functions. Part B: Does the class have any money in the account now? How can you tell? Calculate the y-intercept in order to find your answer. Part C: Which fundraising proposal raises money at the fastest rate? Explain. Refer to lesson 7. 2 Representations of Functions Part D: If Sarah and her classmates are hoping to raise $200, which proposal do you recommend that Sarah and her classmates choose? Analyze your answers to explain why you recommend that proposal. Note that there are different ways to analyze and display your thinking
All the plans proposed by classmates Sarah, Gene and Paul represents linear function.
Total money in the account at (0 ,0 ) is $24.
Fundraising proposal showing fastest rate is of Sarah proposal plan.
To raise $200 recommended plan is of Sarah.
Standard linear function is y = mx + c
'm' is the slope and 'c' is the y-intercept.
For attached question
Let y represents the amount of money
And x represents the number of hours worked.
Proposing plan of Sarah represents the straight line
From graph consider two points
( x₁ , y₁ ) = ( 1, 20 )
(x₂ , y₂ ) = ( 2 , 30 )
Slope 'm' = ( y₂ - y₁ ) / ( x₂ - x₁ )
= (30 -20 ) / ( 2 - 1 )
= 10 /1
y = mx + c
⇒ 20 = 10(1) + c
⇒ c = 10
Linear function for Sarah is y = 10x + 10
Gene proposal ,
( x₁ , y₁ ) = ( 5, 42 )
(x₂ , y₂ ) = ( 10 , 77 )
Slope 'm' = ( y₂ - y₁ ) / ( x₂ - x₁ )
= (77 -42 ) / ( 10 - 5 )
= 35 /5
= 7
y = mx + c
⇒ 112 = 7(15) + c
⇒ c = 7
Linear equation for Sarah is y = 7x + 7
Paul proposal is,
y = 10x + 7
Linear function.
This implies all proposal plans represents linear function .
As they are in form y = mx + c.
Yes class has money in the account.
Sarah has 10 , Gene has 7 and Paul has 7 in his account.
Total money in account = 24
If we put x = 5 in all the plans
Sarah raised
y = 10(5) + 10
= 60
Gene raised
y = 7x + 7
= 7(5) + 7
= 42
Paul raised
y = 10x + 7
= 10(5) + 7
= 57
This implies Sarah plan raised the money at fastest rate.
Sarah and her classmates are hoping to raise $200
Sarah plan,
200 = 10x + 10
⇒ x = 19 hours
Gene plan
200 = 7x + 7
⇒ x = 27.6 hours
Paul plan
y = 10x + 7
⇒ 200 = 10x + 7
⇒x = 19.3hours
Recommended plan is of Sarah.
Therefore, all the proposal plans represents linear function.
Class has $24 in the account.
Sarah plan raises at the fastest rate.
Recommended plan is Sarah proposal plan.
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The above question is incomplete, the complete question is:
Attached question.
the anova procedure is a statistical approach for determining whether the means of . a. more than two samples are equal b. two or more populations are equal c. two samples are equal d. two or more samples are equal
The means of two or more populations being equal is determined by a statistical approach for the ANOVA procedure. Option B is correct.
The ANOVA (Analysis of Variance) procedure is a statistical method used to determine whether there is a significant difference between the means of two or more groups. To statistically test the equality of means ANOVA uses F-tests.
The repeated-measures ANOVA is a two-stage process that is described as an analysis of dependencies. This test is used to prove an assumed cause-effect relationship between variables. The conditions that must be met for the results of an ANOVA are Independence, Random Sampling, Large Sample Size, and Normality.
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Samuel rotated PLUTO 90° clockwise about the origin to generate P'L'U'T'O'.
with vertices at P (2,-3), L'(-2,-5), U'(-6,-1), T'(-2,3), and O'(1,1). What
are the coprdinates for PLUTO?
The coordinates for PLUTO are P(3,2), L(5, -2), U(1, -6), T-3, -2) and O(-1, 1)
When a figure is rotated 90 degrees clockwise about the origin, its new coordinates are found by switching the x and y values of each point and then negating the new x value. This means that if a point had coordinates (x, y) in the original figure, its new coordinates in the rotated figure would be (-y, x).
Using this information, we can find the coordinates of each vertex of PLUTO by working backwards from the coordinates of the vertices of P'L'U'T'O'. For example, the coordinates of P can be found by negating the y-coordinate of P' and switching the x and y values. Applying this formula to P'(2,-3) gives us P(3,2).
Similarly, the coordinates of L can be found by negating the y-coordinate of L' and switching the x and y values. Applying this formula to L'(-2,-5) gives us L(5,-2).
Then for the other coordinates are calculated based on then we get the following,
U'(-6,-1) is U(1, -6)
T'(-2,3) is (-3, -2)
and O'(1,1) is (-1, 1).
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At a candy store, gummy bears are $5.25 per pound and jelly beans are $3.90 per pound. David has 1 3/4 pounds of jelly beans in his basket. Write and solve an inequality to determine the maximum number of pounds of gummy bears David can buy if he has $15 to spend. (Weights are measured to the nearest hundredth of a pound.)
If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
To determine the remaining amount of money available left to buy gummy bears, we have to find the amount of money already spent on jelly beans.
Amount of money spent on jelly beans;
= 7/4 × 3.90
= 6.825
Amount of money left for gummy bears ;
= 15-6.825
= 8.175
Thus, Pounds of gummy bears bought = 8.175 ÷ 5.25
= 1.55 pounds
Hence, If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.
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8.G.B.7, 8.G.B.8
Which is the better definition of leg"
The better definition of leg include the following: D. either of the two sides that form the right angle.
What is a right angle?In Mathematics, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.
Generally speaking, the longest side (hypotenuse) of a triangle is equal to the sum of the square of two shorter sides (legs):
a² + b² = c²
Where:
a, b, and c represents the legs, side lengths or length of sides of a right angled triangle.
In conclusion, the legs in Mathematics simply refers to the opposite side and adjacent side of a right angled triangle.
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when the underlying distribution of interval scores is violently skewed the appropriate correlational technique should be
The appropriate correlational technique when the underlying distribution of interval scores is violently skewed would be:
b. Spearman's rank correlation coefficient
When the distribution of interval scores is violently skewed, meaning that the data is not normally distributed and may have extreme values or significant departures from normality, Pearson's correlation coefficient (option a) may not be appropriate as it assumes a linear relationship between variables and normality of data.
Instead, Spearman's rank correlation coefficient (option b) is a more appropriate choice. Spearman's rank correlation coefficient is a non-parametric method that does not assume normality of data and is based on the ranks of data rather than the actual values. It measures the strength and direction of monotonic association between variables, making it suitable for data that may not meet the assumptions of Pearson's correlation coefficient.
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Complete Question
When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique should be:
a. Pearson's correlation coefficient
b. Spearman's rank correlation coefficient
c. Kendall's tau
d. Point-biserial correlation coefficient
e. Phi coefficient
The appropriate correlational technique when the underlying distribution of interval scores is violently skewed depends on the type of data and the research question, and may include non-parametric tests such as Spearman's rank correlation coefficient.
When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique depends on the type of data and the research question.
If the data is bivariate (two variables) and both variables are continuous, then the appropriate correlational technique would be Spearman's rank correlation coefficient, which is a non-parametric test that measures the strength and direction of the association between two variables.
Spearman's rank correlation coefficient is used when the data is not normally distributed or when the relationship between the variables is not linear.
On the other hand, if one or both of the variables are dichotomous or categorical, then a different correlational technique may be more appropriate.
For example, if one variable is dichotomous and the other is continuous, a point-biserial correlation coefficient may be used.
If both variables are categorical, a chi-square test of independence or Cramer's V may be used.
It is important to note that the appropriateness of a particular correlational technique depends on the specific characteristics of the data and research question.
Therefore, it is recommended to consult with a statistician or data analyst to determine the most appropriate technique for a particular study.
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given: weight a: 140 pounds at 17 inches aft of datum weight b: 120 pounds at 110 inches aft of datum weight c: 85 pounds at 210 inches aft of datum based on this information, the cg would be located how far aft of datum?
The center of gravity is located 96.7 inches aft of the datum.
To determine the location of the center of gravity (CG) of the system, we need to calculate the moment of each weight about the datum, and then divide the sum of the moments by the total weight of the system.
The moment of each weight is equal to its weight multiplied by its distance from the datum. In this case:
Moment of weight a = 140 pounds x 17 inches = 2,380 inch-pounds
Moment of weight b = 120 pounds x 110 inches = 13,200 inch-pounds
Moment of weight c = 85 pounds x 210 inches = 17,850 inch-pounds
The total weight of the system is:
Total weight = weight a + weight b + weight c = 140 + 120 + 85 = 345 pounds
Therefore, the location of the CG can be calculated as follows:
CG location = (Moment of weight a + Moment of weight b + Moment of weight c) / Total weight
CG location = (2,380 + 13,200 + 17,850) / 345
CG location = 33,430 / 345
CG location = 96.7 inches aft of datum
As a result, the center of gravity is 96.7 inches aft of the datum.
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A survey found that the ratio of students who play intruments to those who do not was 7/20 of the students do not play an instrument 440 surveyd how many students surveyd play an instument
The number of students surveyed who plays an instrument is 114 students.
The ratio of students who play instruments to those who do not is 7/20, which means that out of every 7+20=27 students, 7 of them play an instrument and 20 of them do not.
If we know that 440 students were surveyed, we can set up a proportion to find the number of students who play an instrument:
7/27 = x/440
To solve for x, we can cross-multiply:
7 * 440 = 27 * x
3080 = 27x
x = 114.07
Since we can't have a fraction of a student, we should round up to the nearest whole number, which means that approximately 114 students surveyed play an instrument.
Therefore, the required answer is 114.
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The relationship between the mass m in kilograms of an organism and its metabolism P in Calories per
day can be represented by P = 73.3m³. Find the metabolism of an organism that has a mass of 16 kilograms.
Answer:
The relationship between the mass m in kilograms of an organism and its metabolism p in calories per day can be represented by p = 73.3m³ . To find the metabolism of an organism that has a mass of 16 kilograms, we can substitute m = 16 into the equation:
p = 73.3m³ p = 73.3(16)³ p = 73.3(4096) p = 299,648 calories per day
Therefore, an organism with a mass of 16 kilograms has a metabolism of 299,648 calories per day.
I hope that helps!
Step-by-step explanation:
An organism with a mass of 16 kilograms has a metabolism of 299,708.8 Calories per day according to the given relationship.
We can use the given formula to find the metabolism P of an organism with a mass of 16 kilograms:
P = 73.3m³
where m = 16 kg
Substituting the value of m:
P = 73.3(16)³
P = 73.3(4096)
P = 299,708.8 Calories per day.
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why is it more common to report the standard deviation for grouped data rather than variance for grouped data?
It is more common to report the standard deviation for grouped data rather than variance for grouped data because the standard deviation is easier to interpret and compare between different groups.
The variance is a measure of the spread of the data, but it is not in the same unit as the original data, making it difficult to interpret. The standard deviation, on the other hand, is in the same unit as the original data, and it provides a more intuitive measure of the spread of the data.
Additionally, the standard deviation can be used to calculate confidence intervals and perform hypothesis tests, which are important statistical tools for analyzing grouped data. Overall, the standard deviation is a more useful and informative measure of variability for grouped data than the variance.
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Which equation represents the inverse function m(p),which uses problem we did as the input, and gives minutes worked as the output?
Answer: Without knowing the specific problem you are referring to, it is impossible to determine the equation for the inverse function m(p).
However, in general, to find the inverse function of a given function f(x), we can follow these steps:
Replace f(x) with y: y = f(x)
Swap x and y: x = f(y)
Solve for y: y = f^-1(x)
The resulting equation y = f^-1(x) represents the inverse function of f(x).
For example, if the function f(x) = 2x + 5, the inverse function can be found as follows:
Replace f(x) with y: y = 2x + 5
Swap x and y: x = 2y + 5
Solve for y: y = (x - 5) / 2
Therefore, the inverse function of f(x) = 2x + 5 is f^-1(x) = (x - 5) / 2.
If you provide more information about the specific problem you are referring to, I can help you find the inverse function.
Step-by-step explanation:
Can someone please help me asap? It’s due tomorrow.
The correct option is the last one, they only surveyed their subscribers-.
Why is the title misleading?The title is "most popular equipment among all campers", notice the word "all". The title claims that it is representing the whole population of campers.
But the sample does not represent all campers, because the sample is only the subscribers of that magazine, so we have a biased sample.
Then the correct option is the last one, they only surveyed their subscribers.
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in a certain health center there are 3 doctors, 8 nurses and 2 physicians. in how many ways one can form a group of 5 members consisting of 1 doctor, 3 nurse and 1 physician.
Chelsea is buying mini candy bars for her classmates. She has four different options for buying the candy bars. The list below gives different options for quantity and price.
If Chelsea wants to spend the lowest amount per mini candy bar, then which option should she buy?
Answer:
small
Step-by-step explanation:
You can divide the number of mini candy bars over the price, and the lowest would be the smallest one, with 8.33.
Can someone help me asap? It’s due tomorrow.
The sampling method used by the principal is Stratified sampling.
What is Stratified sampling?
Stratified sampling is a sampling method where the population is divided into non-overlapping subgroups, called strata, based on certain characteristics or attributes, and then a random sample is drawn from each stratum.
In this case, the principal organized the school's population by grade level, which created four strata: freshman, sophomore, junior, and senior classes. The principal then randomly sampled fifty students from each of these four strata to collect data on their preferred elective course. This approach ensures that each grade level is represented in the sample, which can provide a more accurate and representative picture of the preferences of students in each grade level, compared to other sampling methods.
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When adding or subtracting mixed numbers with like denominators, the numerators ___ , but the denominators ______ .
A. Stay the same
B. change
Answer:
Yo, when you adding or subtracting mixed numbers with the same denominators, the numerators stay chill, they don't change, bro.
But the denominators, they also stay the same, man. It's like keeping things consistent, ya feel me? So the answer is A, dude. Numerators stay put, denominators stay put. It's all good vibes, bro! ✌️
Leo subscribes to a monthly app service that charges him $6 for one month, and each app he purchases costs $0. 90. Lara subscribes to a service that charges $1. 50 per app with no additional monthly fee. After how many apps will they have the same monthly bill?
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