The following data were obtained from 4 people Pre-Test Value Post-test Value 43 42 28 29 31 30 28 25 You may also assume that the sample standard deviation for the four differences is 1.6. What is the correct t-statistic and the degrees of freedom for these data
Answer:
Test statistic = 1.25
Degree of freedom = 3
Step-by-step explanation:
The following data were obtained from 4 people
Pre-Test Value Post-test Value __ d
43 ________42 _________ 1
28_______ 29 ________ - 1
31 ________30 _________ 1
28 ________ 25 _________ 3
μd = (1 + - 1 + 1 + 3) / 4 = 4 /4 = 1
The mean difference, μd = 1
The standard deviation of difference, Sd = 1.6
The test statistic = μd / (Sd / √n)
Test statistic = 1 / (1.6/2) = 1 / 0.8
Test statistic = 1.25
Degree of freedom, = n - 1 = 4 - 1 = 3
add 10ft 3in + 3ft 9in + 8ft 10in
prime factorization of a 4- digit number with at least three distinct factors
Need two examples. SHOW ALL STEPS
Answer:
We know that every number can be written as a product of prime numbers.
The method to find the factorized form of a number depends on the number, we just try to find the different factors by dividing by them, for example for the number 1000 we have:
1000 is an even number, then we can divide it by 2 (2 is a prime number)
1000 = 2*500 (so we already found a prime factor)
500 is also an even number, so we can divide it by 2
1000 = 2*500 = 2*2*250 (we found another prime factor)
dividing by 2 again we get:
1000 = 2*2*250 = 2*2*2*125
1000 = (2*2*2)*125
now we just need to factorize 125
we know that 125 is a multiple of 5, such that:
125 = 5*25 = 5*5*5
(5 is a prime number, so it is completely factorized).
Then the factorization of 1000 is:
1000 = (2*2*2)*(5*5*5) = 2^3*5^3
Now with another example, 1422
1422 is an even number, so we again start using the factor 2:
1422 = 2 = 711
then:
1422 = 2*711
we already found a factor.
711 is a multiple of 3 (the sum of its digits is a multiple of 3), then:
711/3 = 237
We can write our number as:
1422 = 2*3*237
237 is also a multiple of 3
237/3 = 79
then:
1422 = 2*3*3*79
and 79 is a prime number, so we already have 1422 completely factorized.
Someone please help me ASAP!
Answer:
The 3rd
Step-by-step explanation:
If x goes to infinity, f(x) goes to infinity too:
[tex]lim \: \frac{2 {x}^{2} }{3x - 1} = lim \frac{2x}{3 - \frac{1}{x} } = \frac{ 2 \times \infty }{3 - 0} = \infty [/tex]
Determine which statements about the relationship are true. Choose two options. g is the dependent variable. u is the dependent variable. g is the independent variable. u is the independent variable. The two variables cannot be labeled as independent or dependent without a table of values.
Answer:
1) g is the dependent variable.(A)
2) u is the independent variable.(D)
Step-by-step explanation:
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 15 ft3/min, how fast is the water level rising when the water is 8 inches deep
Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
Please help!!!!!
I’m using Plato
Answer:
the image is hard to read... this is the best that I can see
Step-by-step explanation:
[tex]\sqrt[3]{x^{3} } = x^{3/3} = x\\\sqrt[3]{x^{5} } = x^{5/3} \\\\\sqrt[5]{x } = x^{1/5} \\\\\sqrt[2]{x ^3 } = x^{3/2} \\[/tex]
~~~~~~~~~~~~~~~~~~~
The measure of each interior angle of reglar convex polygon is 150 How many sides it does have
Step-by-step explanation:
Since an interior angle is 150 degrees, its adjacent exterior angle is 30 degrees. Exterior angles of any polygon always add up to 360 degrees. With the polygon being regular, we can just divide 360 by 30 to get 12 sides.
Write the number 52 as a product of primes. SHOW ALL WORK
AnsweStep-by-step explanation:
lol
Jerry leaves home driving at 50 miles per hour. Ten minutes later, Jenny drives after him at the speed 65 miles per hour. When will she overtake him?
Hi there!
[tex]\large\boxed{\approx 43.33 min}}[/tex]
Recall:
d = st, where:
d = distance
s = speed
t = time
We can set up an expression where the extra ten minutes is taken into account:
50x = 65(x - 10) <--- because J left 10 minutes after, we must subtract from the time variable, or "x".
Solve for x:
50x = 65x - 650
Subtract 65x from both sides:
-15x = -650
Divide both sides by -15:
x ≈ 130/3 or 43.33 min
Can someone do eight nine one and two ?
Answer: hello there here are your answers:
8) B multiplication property of zero
9) C additive identify
1) 8
2) -2a-7
Step-by-step explanation:
1) [tex]\frac{3+u}8^{2} \\u=5 \\so\\ \frac{3+5}8^{2} \\3+5=8^{2} \\8^{2} =\\64 \\\\ 64/8=\\\\\\8 \\there.\\\\\\[/tex]
2)[tex]-2(a-7)\\\\-2(a)(-7)\\\\=-2a+14\\\\\\there[/tex]
Find the volume of the figure. Express answers in terms of t, then round to the nearest whole number
Please help :)
Answer:
729π ft³
Step-by-step explanation:
Applying,
Volume of a cone
V = πr²h/3.............. Equation 1
Where r = radius of the base, h = height, π = pie
From the question,
Given: r = 9 ft, h = 27 ft
Substitite these values into equation 1
V = π(9²)(27)/3
V = 729π ft³
Hence the volume of the figure in terms of π is 729π ft³
What’s is the domain
9514 1404 393
Answer:
(b) x -3 ≥ 0
Step-by-step explanation:
The square root function will return non-negative values, so the inequality √(x-3) ≥ 0 gives no new information. What is required is that the argument of the square root function be non-negative:
x -3 ≥ 0
which of the following sets represents the tangeof the function shown? {(-3,4),(5,11),(9,-1),(10,13)}
Explanation:
The range is the set of y outputs of a relation. So we just list the y coordinates of the points shown.
We could sort the values to get {-1, 4, 11, 13}, but order doesn't matter in a set. So this step is optional.
For the problem I tried dividing but my answers were not correct. How can I solve this problem then? Can someone help me out here please?
Answer:
nsnndjdjejke
dl,dmfkfkkio4krm
Step-by-step explanation:
irikrkrkfmfmmfmfmmfmg
Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.
Which equation represents the amount of money in dollars, x, Adam will owe in one year, if no payments are made?
x=5,600+5,600(42)(12)
x=5,600+5,600(0.042)(1)
x=5,600+5,600(42)(1)
x=5,600+5,600(0.042)(12)
Answer:
[tex]x = 5600 + 5600 * 0.042 * 1[/tex]
Step-by-step explanation:
Given
[tex]P = 5600[/tex] -- Principal
[tex]R = 4.2\%[/tex] -- Rate
[tex]T = 1[/tex] -- Time
Required
The amount (x) to be paid
This is calculated as:
[tex]x = P + I[/tex]
Where:
[tex]I = PRT[/tex]
So, we have:
[tex]x = 5600 + 5600 * 4.2\% * 1[/tex]
Express percentage as decimal
[tex]x = 5600 + 5600 * 0.042 * 1[/tex]
(c) is correct
a/b=2/5 and b/c=3/8 find a/c
Answer:
3/20
Step-by-step explanation:
By question it's given that ,
[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]
[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]
And we need to find out the value of a/c .For that Multiply both of them , we have ;
[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]
Hence the required answer is 3/20 .
Using a weight of 12 for the most recent observation, 13 for the second most recent observation, and 16 for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)
Answer: Hi some data is missing attached below is the missing data
answer:
WMA = 174.53
Step-by-step explanation:
Determine the three-week weighted moving average with weights
( 1/2, 1/3, 1/6 )
Weighted moving average ( WMA ) = 174.53
MSE = ∑ (xi - WMA)^2 / n
= 9.71
attached below is the detailed solution/table
debbie will be attending a concert at grand ole opry in nashville, tennessee. if the average number of songs performed there in a 10 day period is 167. approximately how many songs are performed there in a years time
Given:
The average number of songs performed there in a 10 day period is 167.
To find:
The number of songs performed there in a year time.
Solution:
We have,
Number of songs performed in 10 days = 167
Number of songs performed in 1 day = [tex]\dfrac{167}{10}[/tex]
= [tex]1.67[/tex]
We know that 1 year is equal to 365 days. So,
Number of songs performed in 365 day = [tex]1.67\times 365[/tex]
Number of songs performed in 1 year = [tex]609.55[/tex]
[tex]\approx 610[/tex]
Therefore, the number of songs performed there in a year time is about 610.
if sine Theta is less than 0 and tan Theta is greater than 0 then
Answer:
Sine Theta is a negative number, Tan Theta is a greater number then zero.
Step-by-step explanation:
If Sine Theta is less then zero, she is a negative number. So 0 - y = -y.
So if Tan Theta is a greater number than zero, her number is not negative. So 0 + y = y
I hope this helped! I didn’t really understand the question though.
i need help with these questions. anyone down to help me ?please
9514 1404 393
Answer:
A: less than 2 hoursB: 2 to 5 hoursC: more than 5 hoursStep-by-step explanation:
The attached graph shows the various company costs for x number of hours. The graph nearest the x-axis represents the lowest cost.
We can see that cost is lowest using Company A for 2 hours or less, and Company C for 5 hours or more. For times between those, Company B has the lowest charges.
Of course, the equation for charges in each case is the sum of the service fee and the product of hourly charge and number of hours (x).
__
I find the graphing calculator to be the most efficient tool for solving these. The alternative is to compare the equations pairwise to see which gives lower rates. With a little practice, you learn that the "break even hours" will be the difference in service fees divided by the difference in hourly cost.
For example A will cost the same as B when the $20 service fee and the $10/hour cost difference are the same: for 2 hours. A and C will cost the same when the $45 service fee and the $15/hour cost difference are the same, after 3 hours. B and C will cost the same when the $25 difference in service fees and the $5/hour cost difference are the same, after 5 hours.
So B is cheaper above 2 hours, and C is cheaper than that above 5 hours. With no service fee, A is cheaper for small numbers of hours (<2).
Find the volume of the composite solid. Round your answer to the nearest hundredth. A. 22.5mm^3 B. 22.19mm^3 C. 22.53mm^3 D. 22.54mm^3
20 marbles, 4 red, 6 blue,2 green, 8 yellow, one marble taken out , replaced, one taken out. Probability that he will pull red marble first, then green marble
Step-by-step explanation:
red=4/19
green2/1
i didnt get the qn prperly..was a marbke taken out second time？ and not replaced？
cuanto es 2 mas 2 mas 82 menos 72?
Answer:
14
Step-by-step explanation:
2+2+82-72
86 - 72 = 14
Find the volume of the cement block in the figure shown.
Please help :)
9514 1404 393
Answer:
1240 in³
Step-by-step explanation:
The overall dimensions of the block are ...
10 in by 11 in by 17 in
The volume of that space is ...
V = LWH = (10 in)(11 in)(17 in) = 1870 in³
The volume of each of the three identical holes is similarly found:
V = (10 in)(3 in)(7 in) = 210 in³
Then the volume of the block is the overall volume less the volume of the three holes:
= 1870 in³ - 3(210 in³) = 1240 in³
..................................................................
Answer:
Hello?
Step-by-step explanation:
A city has a population of 350,000 peopleSuppose that each year the population grows by 7.75%What will the population be after 6 years Use the calculator provided and round your answer to the nearest whole number
Answer:
335%
Step-by-step explanation:
Plz help ASAP problem down below
Explanation:
This is known as a cyclic quadrilateral since all four points are on the circle's edge, and the quadrilateral is entirely inside the circle (no parts of the quadrilateral spill outside the circle). Another term is "inscribed quadrilateral"
Since we have an inscribed quadrilateral, this means the opposite angles of the quadrilateral are supplementary.
B+D = 180
120+x = 180
x = 180-120
x = 60
One way to check on how representative a survey is of the population from which it was drawn is to compare various characteristics of the sample with the population characteristics. A typical variable used for this purpose is age. The 2010 GSS of the American adult population found a mean age 49.28 years and a standard deviation of 17.21 for its sample of 4,857 adults. Assume that we know from Census data that the mean age of all American adults is 37.2 years.
Required:
a. State the research and the null hypothesis setting for a two-tailed test.
b. Calculate the t statistics and test the null hypothesis setting alpha at .01. What did you find?
c. What is your decision about the null hypothesis? What does this tell us about how representative the sample is of the American adult population?
Answer:
a) See step by Step explanation
b) z(s) = 48.88
c) We reject H₀. The sample is not representative of American Adult Population
Step-by-step explanation:
From sample
sample mean . x = 49.28
sample standard deviationn s = 17.21
sample size n₁ = 4857
Population mean according to Census data
μ = 37.2
a) Test Hypothesis
Null Hypothesis . H₀ . x = μ = 37.2
Alternative Hypothesis Hₐ . x ≠ μ
b) We have sample size (4857) we can use normal distribution
z (c) for α = 0.01 α/2 . = 0.005 is from z-table . z(c) = 2.575
To calculate z(s) = ( x - μ ) / s /√n
z(s) = 12.08 * √4857 / 17.21
z(s) = 12.08* 69.64 / 17.21
z(s) = 48.88
z(s) > z(c)
We should reject H₀. The sample is not representative of American Adult population
need help with algebra problem
Answer:
[tex]option \: d \: 4.2 \times {10}^{ - 3} [/tex]
Step-by-step explanation:
Multiplication,
[tex] = 8.4 \times {10}^{ 8 } \times 5 \times {10}^{ - 11} \\ = 8.4 \times 5 \times {10}^{8 + ( - 11)} \\ = 4.2 \times {10}^{8 - 11} \\ = 4.2 \times {10}^{ - 3} [/tex]
