Answer:
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
Step-by-step explanation:
Average change in the sample:
[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]
Standard deviation of the sample:
[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]
We have the standard deviation for the sample, so the t distribution is used.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 3 - 1 = 2
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42
The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
What’s the volume of 9 cm 6 cm 4 cm
Answer:
bro tell me the shape
Step-by-step explanation:
WILL MARK BRAINLIEST
Solve for x.
60
10
20
120
Answer:
x = 10
Step-by-step explanation:
Let's draw the center of the circle S and the segments SE and SD.
SE is perpendicular to EF (as EF is tangent to circle).
That means FED + DES = 90deg
We also know that DSE = 120deg
And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.
DES = (180deg - 120deg) / 2 = 30deg
FED = 90deg - DES = 90deg - 30deg = 60deg
7x - 10 = 60
7x = 70
x = 10
Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how far apart are they?
Gravitational force = (gravity x mass1x mass2)/distance^2
6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2
D = sqrt(6.0x10^-10/6.67x10^-11 x81)
D = 3.0 m
The answer is B.3.0 m
Answer:
B
Step-by-step explanation:
3.0 m
at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body from t=0 to t=3.
Answer:
27 m
Step-by-step explanation:
The position of a body is given by :
[tex]s=t^3 - 12t^2 + 36t[/tex]
We need to find the total distance traveled by the body from t=0 to t=3.
At t = 0,
[tex]s=0^3 - 12(0)^2 + 36(0)=0\ m[/tex]
At t = 3 s,
[tex]s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m[/tex]
So, the total distance from t=0 to t=3 is equal to 27 m.
i need helpppppppp ITSSSSSSSSSSSSSSSSSSSSSSS URGETTTTTTTT HELPPPPPPPPPPPPPPPP
Answer:
what school you do
Step-by-step explanation:
what grade
4m - - - - >4x10=40m^2
6m - - - - >6x10=60m^2
Please help I need this due in 3 minutes!
Answer: you just add 700 and 750 which will give us 1,450
Step-by-step explanation:
The sum of two numbers is -25. One number is 101 less than the other. Find the numbers
Answer:
-63, 38
Step-by-step explanation:
1st number = x
2nd number = x+101
x+x+101=-25
2x=-126
x=-63
1st number = x = -63
2nd number = x+101 = 38
Answer:
x=38
y= -63
Step-by-step explanation:
x+y=-25
y=x-101
x+(x-101)= -25
2x=-25+101
2x=76
x=76/2
x=38
y=x-101
y=38-101
y= -63
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies. Which expression shows how many pounds of sugar the baker used?
F(x)=8x sqrt(x-x^2) Find the exact maximum
First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.
Check the value of f(x) at these endpoints:
f (0) = 0
f (1) = 0
Take the derivative of f(x) :
[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]
[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]
For x ≠ 0, we can eliminate the √x term in the denominator:
[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]
f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :
√x (3 - 4x) = 0
√x = 0 or 3 - 4x = 0
The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.
PLZ HELP i rlly need it i am not good a t algebra
Evaluate the following expressions when x = 5. Show your work.
Hint: Remember to use BEDMAS
My question: 2x+3
Answer:
13
Step-by-step explanation:
substitute the five into the equation. :)
I will give brainleist pls
Answer:
C
Step-by-step explanation:
We can immediatly rule out A and B because the Quotient is bigger than the Divisor.
We can then rule out D because 2,016 does not round to 2,200.
The answer is C. 2,184 can round to 2200 and the Divisor is bigger than the quotient.
Answer:
C
Step-by-step explanation:
This is quite simple as we can find the answer out on the first hint itself. The first hint says the divisor, 2 number in the equation or number you are dividing by, can be rounded to 50, which means it is in the range of 45-54. We can see the only divisor in that range is C. To go with the other hints, though, the dividend, first number, can be rounded to 2,200 which means it is in the range of 2,151-2,250. All of them pass that, so on to the next hint. It says the quotient, number you get as answer, is smaller than the divisor, which we found is in the range of 45-54. Answer choices A and B do not follow this as the divisors of their equation are obviously smaller than the quotient, so we can conclude C to be our answer
Task: Volume & Surface Area
Instructions
The following question is a two part question. In the first part, you will be
asked to solve for volume. In the second part, you will be asked to solve for
surface area
Complete each of the 2 activities for this Task.
Activity 1 of 2
A storage chest is shown. What is the volume in cubic feet?
2 feet
2 feet
4.5 feet
Activity 2 of 2
A storage chest is shown. What is the surface area in square feet?
2 feet
2 feet
4.5 feet
help me please!!! someone help me out please!!!!!!
Which is another way to write this number? (3 x 1,000) + (3 x 10) (3 x 1/100) + (3 x 1/1000)
Answer:
3030.033 is another way to write the number
Jimmy has 6 computers and 7 printers to choose from. How many possible computer- printer combinations are there to make?
O 42
O 13
Answer:
13
Step-by-step explanation:
Computers=6
Printers=7
Now,
=6+7
=13
Help! Quick! Find the area of the composite figure
Answer:
60m
Step-by-step explanation:
To find the area of the triangle you multiply the base by height and divide by two, but we don’t know the base of the triangle!
Luckily, the bottom of the triangle is a rectangle. Rectangles are symmetrical, and the other side of the rectangle is 8.
So, the base of the triangle is 8.
Now let’s find the area of the triangle:
8 x 5 = 40
40/2 = 20
20 is the area of the triangle
Now, we must find the area of the rectangle!
The formula for rectangle area is just width x length:
8 x 5 = 40
Add them together:
40 + 20 = 60
Therefore, the area is 60m.
A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean and standard deviation of What is the probability that, for an adult after a 12-hour fast, x is less than 104
Answer:
The pvalue of Z when X = 104.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability that, for an adult after a 12-hour fast, x is less than 104?
This is the pvalue of Z when X = 104.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - \mu}{\sigma}[/tex]
[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.
how many possible outcomes are there?
Pls help 10 ptsssssssssssss
NO LINKS
Answer:
the answer is 16
Step-by-step explanation:
8/2=4
4*4=16
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )
Identify the following parts of an introductory paragraph in the order that they should appear.
First:
Second:
Third:
Answer Choises
hook, context, thesis
Have a nice day!
Answer:
1st-Hook
2nd- Thesis statement
3rd-context
Step-by-step explanation:
1- hook is to attract the reader, like a line to a song that is catchy! you want to draw the reader in!
2- Thesis statment
3- give context on the thesis statement! to further prove.
good luck
Eric buys a coffee table price d at $100. If the sales taxis 5%, what wil lbe the total cost including tax?
Answer:
$105.00
Step-by-step explanation:
100 x 1.05 = $105.00
Answer:
with included tax : $150
2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard deviation is 0.24 mm. True or false: (a) A 95% con dence interval for the mean diameter of the 120 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (b) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (c) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 10; 000.
Answer:
B is True
A, C. D are false
Step-by-step explanation:
Given :
Sample size, n = 120
Mean diameter, m = 10
Standard deviation, s = 0.24
Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96
The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.
The population here is N = 10000
To obtain
Confidence interval (C. I) :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 1.96 * 0.24/sqrt(120)
Confidence interval for the 10,000 ball bearing :
10 ± 1.96 * (0.24) / sqrt(120)
Hence. The confidence interval defined as :
10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.
Which type of graph(s) should be used for the following data? Choose all that apply. (Check photo)
Answer:
Histogram is the correct answer
MARK AS BRAINLIEST PLEASE.
The type of graph used is Bar graph.
What is Bar graph?A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.
As, per the given data,
the best way to represent the data is Bar graph.
The data is a primary data and for such type of data Bar graph is used,
Learn more about Bar graph here:
https://brainly.com/question/8644324
#SPJ2
Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.
What is the value of y?
Please help!
PLEASE HELP FAST!!!!!
Answer:
120 feet is the answer
ALGEBRA
tell whether the given value is a solution of the equation. (yes or no)
1. x+16=20;x+4
2. p-4+28;p+32
3. 4w+44;w=10
4. y/6= 6;y=24
Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1.yes
2.yes
3.yes
4.no
anyone caring to help me?? please and thank you it would be very much appreciated <3
Answer:
75
90
15, i think ??
165
hope this helps !!!! :D
Step-by-step explanation:
Solution:
Here,
In triangle LKM,
6x+5x+x=180
12x=180
x=180/12
x=15
Now,
1.75
2.90
3.15
4.165
What is the slope, m, of the line through (-7, -2) and (-6, 7)?
Answer:
Slope = 9
Step-by-step explanation:
(-7 , -2) ; x₁ = -7 and y₁ = -2
(-6 , 7) ; x₂ = -6 and y₂ = 7
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]
Identify the equation that correctly shows the given relationship.