A teacher is wondering if 1st period students tend to do better on tests than 2nd period students. She takes a random sample of 5 1st period students whose scores were 98, 86, 75, 92, and 90. She takes a random sample of 3 2nd period students whose scores were 91, 89, and 87. Suppose that the original distributions of scores are normally distributed. Do these data give evidence that the 1st period students do better
Answers
There is insufficient evidence to suggest that 1st period students perform better than 2nd period students based on the given data.
How to determine if class affects test scores?
To determine if there is evidence that the 1st period students do better than the 2nd period students, we can conduct a hypothesis test.
Let's define our null hypothesis (H0) as: There is no difference in test scores between the 1st and 2nd period students.
Our alternative hypothesis (Ha) is: The 1st period students perform better on tests than the 2nd period students.
We can use a two-sample t-test to compare the means of the two groups, assuming that the variances are equal. Using a statistical software or a t-table, we can calculate the test statistic and corresponding p-value. If the p-value is less than our chosen level of significance (typically 0.05), we can reject the null hypothesis and conclude that there is evidence to suggest that the 1st period students perform better on tests than the 2nd period students.
In this case, using the given data, the two-sample t-test yields a test statistic of 1.15 and a p-value of 0.30. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest that the 1st period students perform better on tests than the 2nd period students. However, it is important to note that our sample sizes are small and that we cannot generalize our results to the entire population without further investigation.
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Related Questions
Use Laplace transforms to solve the initial value problem: x''-6x'+13x=δ(t); x(0)=0, x'(0)=0 x(t)=?.
Answers
The Laplace transform
of x''(t) is s^2X(s)-sx(0)-x'(0) and the Laplace transform of x'(t) is sX(s)-x(0). Therefore, taking the Laplace transform of both sides of the differential equation, we get:
s^2X(s)-sx(0)-x'(0)-6sX(s)+13X(s)=1
Substituting the initial conditions x(0)=0 and x'(0)=0, we get:
s^2X(s)-6sX(s)+13X(s)=1
Simplifying, we get:
X(s) = 1/(s^2-6s+13)
To find x(t), we need to take the inverse Laplace transform of X(s). Using partial fraction decomposition, we get:
X(s) = (1/4)/(s-3+2i) + (1/4)/(s-3-2i)
Taking the inverse Laplace transform, we get:
x(t) = (1/4)e^(3t)sin(2t) + (1/4)e^(3t)cos(2t)
Therefore, the solution to the initial value problem is x(t) = (1/4)e^(3t)sin(2t) + (1/4)e^(3t)cos(2t).
The solution to the initial value problem using Laplace transforms is x(t) = (-1/2)e^(3t)cos(2t) + (1/2)e^(3t)sin(2t).
To solve the given initial value problem using Laplace transforms, we'll apply the Laplace transform to both sides of the differential equation and solve for the Laplace transform of x(t). Let's denote the Laplace transform of x(t) as X(s).
Taking the Laplace transform of the differential equation, we have:
s^2X(s) - sx(0) - x'(0) - 6(sX(s) - x(0)) + 13X(s) = 1
Since x(0) = 0 and x'(0) = 0, the equation simplifies to:
s^2X(s) - 6sX(s) + 13X(s) = 1
Now, solving for X(s), we have:
X(s)(s^2 - 6s + 13) = 1
X(s) = 1 / (s^2 - 6s + 13)
To find the inverse Laplace transform of X(s), we need to factor the denominator of X(s):
s^2 - 6s + 13 = (s - 3)^2 + 4
The roots of this quadratic equation are complex: s = 3 ± 2i.
Using partial fraction decomposition, we can write X(s) as:
X(s) = A / (s - (3 - 2i)) + B / (s - (3 + 2i))
Multiplying both sides by the common denominator and simplifying, we get:
1 = A(s - (3 + 2i)) + B(s - (3 - 2i))
Now, we can solve for A and B by comparing coefficients:
1 = (A + B)s - (3A + 3B) + (-2Ai + 2Bi)
Comparing real and imaginary parts separately, we have:
Real part: 0 = (A + B)s - (3A + 3B)
Imaginary part: 1 = (-2A + 2B)i
From the real part equation, we get A + B = 0, which implies A = -B.
From the imaginary part equation, we get -2A + 2B = 1, which implies B = 1/2 and A = -1/2.
Therefore, the partial fraction decomposition becomes:
X(s) = (-1/2) / (s - (3 - 2i)) + (1/2) / (s - (3 + 2i))
Taking the inverse Laplace transform of X(s), we can find x(t):
x(t) = (-1/2)e^((3 - 2i)t) + (1/2)e^((3 + 2i)t)
Using Euler's formula e^(it) = cos(t) + i*sin(t), we can write x(t) as:
x(t) = (-1/2)e^(3t)cos(2t) + (1/2)e^(3t)sin(2t)
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A newsvendor orders the quantity that maximizes expected profit for two products, x and y. The critical ratio for both products is 0. 8. The demand forecast for both products is 9,000 units and both are normally distributed. Product x has more uncertain demand in the sense that it has the larger standard deviation. Of which of the two products does the newsvendor order more?.
Answers
Of the two products the newsvendor order more quantity for X is more than the quantity ordered for Y.
Cr = 0.8 which is the critical ratio for both the products
The value of Z corresponding to the critical ratio of 0.8 from the standard normal distribution tables is 0.8416
Unless the quantity ordered by the newsvendor is Q, then
Q = mean value of demand + Z x standard deviation of demand
Below are the specifications of the two products:
The mean requirement for both X and Y is 900O units.
Z value for both X and Y = 0.8416
Let,
Sd₁ Demand Standard Deviation for Product X
Sd₂ = Demand Standard Deviation for Product Y
Assuming that (Product X does have a higher standard deviation than Product Y),
quantities for X = mean value of demand + Z x standard deviation of demand
9000 + 0.8416Sd₁
Order amount for Y = mean value of demand + Z x standard deviation of demand
9000 + 0.8416Sd₂
because
X₁ > X₂
As a result,
9000 + 0.8416Sd₁ > 9000 + 0.8416Sd₂
The quantity ordered for X is > the quantity ordered for Y.
Therefore, The quantity ordered for X is more than the quantity ordered for Y. As a result, Newsvendor orders Product X more frequently because it has a higher level of uncertainty.
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Which of the choices below does not represent a function?
A) y2=9
B) y=3x2+5x+1
C) y=9
Answers
Find the scalar and vector projections of b onto a.
a=⟨−5, 12⟩, b=⟨4, 6⟩
Answers
The scalar projection is 42/13, and the vector projection is 42/169⟨-5,12⟩.
The scalar projection of b onto a can be calculated using the formula \(\frac{a.b}{|a|}\), and the vector projection of b onto a can be calculated using the formula \(\frac{a.b}{|a|^{2} } .a\). The formula for finding the magnitude of a is |a| = √c²+d² if a = ⟨c,d⟩.
a = ⟨−5, 12⟩, b = ⟨4, 6⟩
a⋅b = ⟨−5, 12⟩⟨4, 6⟩
= -20 + 72
= 42
|a| = √[(-5)² + (12)²]
= √25 + 144
= √169
= 13
The scalar projection is
\(\frac{a.b}{|a|}\) = [⟨−5, 12⟩⟨4, 6⟩]/√[(-5)² + (12)²]
= [-20 + 72]/√25 + 144
= 42/√169
= 42/13
The vector projection is
\(\frac{a.b}{|a|^{2} } .a\) = [42/(13)²] ⟨−5, 12⟩
= 42/169⟨−5, 12⟩
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solve 1/4(x-16)=3/4 please i'm dum
Answers
Answer:
x=19
Step-by-step explanation:
Answer: this might help
Find f(2) for the function f(x) = |7x |
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
let's find f (2) :
\( |7x| \)\( |7 \times 2| \)\( |14| \)\(14\)Answer:
14
Step-by-step explanation:
Hi there!
\(f(x) = |7x |\\f(2) = |7(2) |\\f(2) = |14|\\f(2) =14\)
I hope this helps!
Is parallelogram BCDE a rectangle?
Answers
what is the answer for x⁵÷x⁸
Answers
answer:
the answer is 40 because any expression divides itself is equals to 1
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(\frac{1}{x^3}\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
what is 6.7 x 192 ÷ 0.051 ?
Answers
Answer: Reduce the expression, if possible, by cancelling the common factors
25223.52941176
Hoped this helped :)
Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions
Answers
Answer:
Hi, there for the graph it will be not a function
For the equation it is also not a function
Step-by-step explanation:
For the graph use vertical line test to see if the x value are the same if they are that's means it is not a function.
The X value can't be the same and can't be used twice.
The reason why because given an equation, there should be only one corresponding y value for any x value.
What is the proportion used to solve: 160 of what numbers is 144
Answers
solve for √6x-5+10=3
Answers
Answer:
3
Step-by-step explanation:
Answer: 3 Is the answer ok bye brainliest pls thanks! :D
Juliana invested $3,300 at a rate of 6.25% p.a. simple interest.
How many days will it take for her investment to grow to $3,450? 1
days Round up to the next day
Answers
To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest
I = P * r * t.
I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,
Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.
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determine if the following equation is an identity. x6+y6=(x2+y2)(x4−x2y2+y4)A) this is an identity because the equation is trueB) this is an identity because equation is not trueC) this is not an identity because the question is not trueD) this is not an identity because the equation is true
Answers
When we have an identity in algebraic terms, both sides are equal to one another.
So let's check the given equation, and expand the terms on the right side:
\(\begin{gathered} x^6+y^6=(x^2+y^2)(x^4-x^2y^2+y^4) \\ x^6+y^6=x^6-x^4y^2+x^2y^4+x^4y^2-x^2y^4+y^6 \\ x^6+y^6=x^6+y^6 \end{gathered}\)Since we could cancel out the terms in the middle, we end up as an identity for the left side is equal to the right side.
2) Therefore examining the options, we have the answer:
A)this is an identity because the equation is true
The highest point of a normal curve occurs at _____. a. one standard deviation to the right of the mean b. the mean c. two standard deviations to the right of the mean d. approximately three standard deviations to the right of the mea
Answers
the correct answer is option b.
The highest point of a normal curve
occurs at the mean, which is the central value, as shown below:
A normal curve is a bell-shaped curve with a
symmetrical distribution around the mean. The total area under the normal curve is 1. It is continuous and smooth with tails that extend indefinitely in both directions.There are certain characteristics of the normal curve:It is a unimodal and symmetrical curve.It is a bell-shaped curve
.The mean, median, and mode are all equal in a normal distribution.It is distributed in such a way that the tails are symmetrical on both sides of the mean.It is defined by its mean and standard deviation. It has an infinite domain. It is a continuous distribution and is defined by its mean and
standard deviation
.
The highest point of a normal curve occurs at the mean, which is the central value. Therefore, the correct answer is option b.
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The correct answer is b. The highest point of a normal curve occurs at the mean.
The highest point of a normal curve, also known as the peak or the mode, occurs at the mean. This means that option b is the correct answer.
A normal curve, also called a bell curve or a Gaussian curve, is a symmetric probability distribution that is commonly used in statistics. It is characterized by its mean and standard deviation. The mean represents the average or central value of the distribution, while the standard deviation measures the spread or dispersion of the data.
In a normal distribution, the highest point occurs at the mean because it is the most frequent value in the data set. As we move away from the mean in either direction, the frequency decreases. The shape of the curve is symmetrical, with equal areas on both sides of the mean.
Options a, c, and d suggest points that are a certain number of standard deviations away from the mean. While these points are important for understanding the distribution and making calculations, they do not represent the highest point of the curve.
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6th grade math help me pleaseeee
Answers
Answer
It’s 960
Explanation
Just multiply 12x4x20 and that’s your answer
help me please!
- no fake answers/links please.
Answers
Answer: C
Step-by-step explanation:
Just go 2 units up on the grid and one to the left
Answer:
(3,6)
Step-by-step explanation:
First, find the coordinate of the school. The school is at (4,4).
Coordinates are written as (x,y). x represents the side to side coordinate, and y represents the up down coordinate. so if the house is one unit left of the school, subtract one from the x coordinate to get 3. if the house is two units up from the school, add 2 to the y coordinate to get 6. and there you go!
I have no idea how to do any of these so please explain I'm already struggling and school just started
1.
\(5g + h = g\)
solve for g
2.
\(y = mx + b\)
solve for m
3.
\(3y + z = am - 4y\)
solve for y
4.
\(km + 5x = 6y\)
solve for m
5.
\( \frac{3ax - n}{5} = - 4\)
solve for x
6.
\( \frac{by + 2}{3} = c\)
solve for y
7.
\(at + b = ar - c\)
solve for a
Answers
Answer:
See below!
Step-by-step explanation:
1. 5g + h = g
4g = -h
g = \(-\frac{h}{4}\)
2. y = mx + b
y - b = mx
m = \(\frac{y - b}{x}\)
3. 3y + z = am - 4y
7y = am - z
y = \(\frac{am - z}{7}\)
4. km + 5x = 6y
km = 6y - 5x
m = \(\frac{6y - 5x}{k}\)
5. \(\frac{3ax - n}{5} = -4\)
3ax - n = -20
3ax = n - 20
x = \(\frac{n-20}{3a}\)
6. \(\frac{by+2}{3}= c\)
by + 2 = 3c
by = 3c - 2
y = \(\frac{3c-2}{b}\)
7. at + b = ar - c
at - ar = -b - c
a(t - r) = -(b + c)
a = \(-\frac{b+c}{t-r}\)
Simplify: 3 [(5-2)3 + 4]
O A. 63
O B. 43
O c. 39
D. 31
E. 13
Answers
Answer:
C. 39
Step-by-step explanation:
the range of numbers in the data series that controls the minimum, maximum, and incremental values on the value axis is referred to as the:
Answers
The range of numbers in the data series that controls the minimum, maximum, and incremental values on the value axis is referred to as the "axis scale" or "axis range."
It determines the span of values displayed on the value axis of a graph or chart. The axis scale is typically set based on the minimum and maximum values present in the data series, and the incremental values (tick marks) are placed at regular intervals within that range.
It represents the span of values that will be displayed on the value axis of a graph or chart. The data range determines the scale and divisions of the axis, allowing the viewer to interpret the data accurately and understand the relative magnitude of the values being presented.
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Which of the following are solutions to the equation below?
Check all that apply
4x²+ 12x+ 9 =25
Answers
Answer:
B and C
Step-by-step explanation:
First, we need to get the left side equal to zero. Take away 25 from each side to get \(4x^2+12x-16 = 0\).
We can use the quadratic equation of \(\frac{-b+ -\sqrt{b^2-4ac} }{2a}\) to find the solutions.
Plug them in to get \(\frac{-12+-\sqrt{144 -(-256)} }{8}\).
Simplify.
\(\frac{-12+-\sqrt{400} }{8}\)
\(\frac{-12+-20}{8}\)
\(\frac{8}{8}\) or \(\frac{-32}{8}\)
1 and -4
x = 1 and -4
What is 4-3i minus 6+3i?
Answers
Answer:
-2
Step-by-step explanation:
This chart shows the growth of a maple tree. If the tree's height increases in this same pattern, what will be the height of the tree, in inches, after 8 months?
Months
Height of Tree
1
10 inches
2
13 inches
3
16 inches
4
19 inches
Answers
Answer:
31 inches
Step-by-step explanation:
you can get this answer by 2 ways. one is using number patterns.
find the difference between each of the heights.
13-10=3
16-13=3
19-16=3
therefore the common difference is 3
now create a number pattern.
first term + common difference× (n-1)= nth term
a+(n-1)d
let's check this with the 2nd month
10+ 3× (2-1)
10+3=13
in second month 13 inches
so this pattern works
let's find the height in 8th month
10+ 3(8-1)
10+ 21=31 inches
height in 8th month is 31 inches.
you can find this by just adding too. but forming an equation is always good and safe
Choose the function that represents the data in the table. Y = 3x + 2 y = 3x2 + 2 y = y = 3x + 2.
Answers
The function that represents the data in the table is 3x²+2. The correct answer is B.
The quadratic function is shown in the data table.
We must ascertain the function's equation.
The quadratic equation's generic form is
Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).
We therefore have;
a+b+c =5——— (1)
4a+2b+c= 14——— (2)
9a+3b+C =29------(3)
When (2) is subtracted from (1), we have;
9= 3a+b(4)
Subtracting (3) from (2) gives us;
15= 5a +b(5)
Subtracting (5) from (4) gives us;
6= 2a
3= a
As a result, the value of an is 3. When we replace this value in equation (4), we obtain;
3(3)+b= 9
b= 0
When a = 3 and b = 0 are substituted in equation (1), we obtain;
a+b+c =5
3+0+c=5
c=2
As a result, c has a value of 2.
As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;
3x²+2
Consequently, the function that symbolizes the information in the table is 3x²+2
As a result, Option B is the right response.
Your question is incomplete but maybe your full question attached below
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How is the denominator and numerator of your answer related to the model? Explain
Answers
The terms denοminatοr and numeratοr are nοt directly related tο a mοdel unless the mοdel invοlves a fractiοn οr a ratiο.
What is denοminatοr and numeratοr?The denοminatοr and numeratοr are terms οften used in mathematics and fractiοns. In a fractiοn, the numeratοr is the tοp number, and the denοminatοr is the bοttοm number. The numeratοr represents the number οf parts being cοnsidered οr cοunted, while the denοminatοr represents the tοtal number οf parts in the whοle.
The terms denοminatοr and numeratοr are nοt directly related tο a mοdel unless the mοdel invοlves a fractiοn οr a ratiο.
Hοwever, in statistical mοdels, the dependent and independent variables can be thοught οf as the numeratοr and denοminatοr οf a ratiο οr a fractiοn. The dependent variable represents the numeratοr, the number οf events οr οbservatiοns οf interest, while the independent variable represents the denοminatοr, the tοtal number οf events οr οbservatiοns.
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Select all the points which are relative minimums of this graph of a polynomial function.
Answers
The points that are relative minimums of the polynomial function graphed in this problem are:
D. Point D.
F. Point F.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function are given by the points in which the function's behavior changes from decreasing to increasing.When a function is increasing, and when it is decreasing looking at it's graph?Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases .Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.Hence, for this problem, we have that:
The relative maximums are given by: Points B and E.The relative minimums are given by: Points D and F.More can be learned about relative minimums of a function at https://brainly.com/question/9839310
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a scale drawing of a plaza is shown
Answers
In order to find the actual length of the 4 inches side, we can use the following rule of three:
\(\begin{gathered} 9\text{ inches}\to36\text{ yards} \\ 4\text{ inches}\to x\text{ yards} \\ \\ \frac{9}{4}=\frac{36}{x} \\ \frac{1}{4}=\frac{4}{x} \\ x=4\cdot4 \\ x=16 \end{gathered}\)So the actual length of this side is 16 yards, therefore the correct option is B.
Use g=9.8 m/s 2
You are helping your friend move a new refrigerator into his kitchen. You apply a horizontal force of 264 N in the positive x direction to try and move the 55 kg refrigerator. The coefficient of static friction is 0.72. (a) How much static frictional force does the floor exert on the refrigerator? Give both magnitude (in N) and direction. magnitude direction (b) What maximum force (in N) do you need to apply before the refrigerator starts to move?
Answers
The static frictional force exerted by the floor on the refrigerator is 396 N in the opposite direction of the applied force. To overcome static friction and start moving the refrigerator, a force greater than 396 N needs to be applied.
In this scenario, the static frictional force needs to be determined using the coefficient of static friction. The formula to calculate static frictional force is given by:
Fs = μs * N
where Fs is the static frictional force, μs is the coefficient of static friction, and N is the normal force exerted by the floor on the refrigerator.
To find the magnitude of the static frictional force, we first calculate the normal force. The normal force is equal to the weight of the refrigerator, which is given by:
N = m * g
where m is the mass of the refrigerator and g is the acceleration due to gravity (9.8 m/s^2).
N = 55 kg * 9.8 m/s^2
N = 539 N
Now, we can calculate the static frictional force:
Fs = 0.72 * 539 N
Fs ≈ 388.08 N
The static frictional force is approximately 388.08 N. Since static friction acts in the opposite direction of the applied force, its direction is opposite to the positive x direction.
To overcome static friction and start moving the refrigerator, a force greater than the static frictional force needs to be applied. In this case, the maximum force required to start moving the refrigerator is the force of static friction, which is approximately 388.08 N. Therefore, a force greater than 388.08 N needs to be applied to initiate the motion of the refrigerator.
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Enter the coordinates of the vertices of (r(270°,O) ∘ T⟨1, −2⟩)(QRST).
Answers
Answer:
where bro i will let you know in the comments section
The volume of a large can of tuna fish can be calculated using the formula
V= π r^2 h. Write an equation to determine the radius of the can.
Answers
The equation that can be used to determine the radius of the can isr = √(v/πh)
What is change of subject of formula?For example, Y is the subject of the following equations. Y = x + 1, Y = 4 + 2x, Y = 2(2x – 3). In the relation v=u + at, v is said to be the subject. When a formula is rearranged so that a different letter becomes the subject, this process is referred to as changing the subject of the relation.
Similar making r the subject in V= π r^2 h
divide both sides by πh
V/πh = r²
r² = V/πh
r = √(V/πh)
therefore the radius of the can be obtained from
r = √(V/πh)
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