Answer: 40 pages in total
Step-by-step explanation:
Ms. Vega has read 20% of the book and this translates to 8 pages of the book.
20% = 8 pages
Assume the total number of pages is x:
20% * x = 8
0.2x = 8
x = 8 / 0.2
x = 40 pages in total
Answer:
40 pages in book
Step-by-step explanation:
8 pages read
8/40 = .20
Hen interpreting f (7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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Pls help pls thank you
Answer:
2 1/2 pounds
Step-by-step explanation:
Please help!!!!! Get brainlest⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
How many solutions does this linear system have?
y = -6x+2
-12x - 2y = 4
one solution: (0,0)
O one solution: (1.4)
O no solution
O infinite number of solutions
Answer:
No solution
Step-by-step explanation:
6x+y=2
-12x-2y=4
Multiply equation 1 by 2
12x+2y=4.
Subtract the equations
0=8
Impossible so no soultion
Hope this helps plz mark brainliest if correct :D
im pretty sure it only has one solution. (sry if im late to the question.)
For what value of x is line a parallel to line b5? a (4x + 28)° 116 > Enter your answer in the box. 64 X =
In this problem, we have two corresponding angles. (4x +28) and 116º
Since corresponding angles are congruent angles then we can state that:
4x +28 = 116 subtracting -28 from both sides
4x=116 -28
4x=88 Dividing both sides by 4
x= 22º
Determine the intercepts of the line.
y= 4x +7
-intercept:
y-intercept:
2
Answer:
x-intercept: (-7/4, 0)
y-intercept: (0, 7)
Step-by-step explanation:
i hope this helps :))
Find the value of x
17x - 18
7x
Consider the given equation is \(17x-18=7x\).
Given:
\(17x-18=7x\)
To find:
The value of x.
Solution:
We have,
\(17x-18=7x\)
Adding 18 on both sides.
\(17x=7x+18\)
Subtracting 7x from both sides.
\(17x-7x=7x+18-7x\)
\(10x=18\)
Divide both sides by 10.
\(x=\dfrac{18}{10}\)
\(x=1.8\)
Therefore, the value of x is 1.8.
Find the equation of a line that passes through the point (3,5) and has a gradient of 2.
Leave your answer in the form
y=mx+c
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
32 more than a number n
Answer:
32+n
Step-by-step explanation:
32 more than the number n would be 32+n.
Hope this helps!
bowl 1 has 5 red and 5 green balls. bowl 2 has 6 red and 4 green balls. a bowl is selected at random and a ball is drawn at random. it turns out to be g. what is the probability that it came from bowl 2?
The probability that a green ball is chosen from bowl two is 4/9 using Baye's Theorem.
Let M be the event that the ball is green.
Let A be the event that the ball is drawn from bowl one and event b from bowl two.
Bowl one has 5 red balls and 5 green balls. And bowl two has 6 red balls and 4 balls.
Total number of red balls = 5 + 6 = 11
Total number of green balls = 5+ 4 = 9
Total number of balls in bowl one = 5+ 5 = 10
Total number of balls in bowl two = 6 + 4 =10
P(A) = 1/2 = P(B)
P(M/A) = 5/10
P( M/B) = 4/10
A bowl is selected at random and a ball is drawn at random.
Using Baye's Theorem we can solve the problem as,
Probability that ball is chosen is green drawn from bowl two , P(B/M)
= \(\frac{[P(B)P(M/B)]}{[ { P(A)(M/A)} + {P(B)(M/B)}]}\)
= \(\frac{ [ (1/2)(4/10)]}{ [ (1/2)(5/10) + (1/2)(4/10)]}\)
= 4/9
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Use the diagram in the picture to find x and v. Please and thank you!
1., express the following properties in propositional logic:
(a) For every location that is a cliff, there is an
adjacent location to it that contains some
non null quantity of resource r3.
(b) For every location that contains some
non null quantity of resource r2,
there is exactly one adjacent location that is a hill
.
(c) Resource r1 can only appear in the corners of the
grid (the corners of the grid are the locations
(1, 1), (K, 1), (1, K), (K, K)).
(a) The proposition can be expressed as ∀x(Cliff(x) → ∃y(Adjacent(x, y) ∧ NonNull(y, r3))).
(b) The proposition can be expressed as ∀x(NonNull(x, r2) → (∃y(Adjacent(x, y) ∧ Hill(y)) ∧ ¬∃z(Adjacent(x, z) ∧ Hill(z) ∧ ¬(z = y)))).
(c) The proposition can be expressed as ∀x(Resource(x, r1) → (Corner(x) ∧ ¬∃y(Resource(y, r1) ∧ ¬(x = y) ∧ Adjacent(x, y)))).
(a) In propositional logic, we use quantifiers (∀ for "for every" and ∃ for "there exists") to express the properties. The proposition (a) states that for every location that is a cliff (Cliff(x)), there exists an adjacent location (Adjacent(x, y)) to it that contains some non-null quantity of resource r3 (NonNull(y, r3)).
(b) The proposition (b) states that for every location that contains some non-null quantity of resource r2 (NonNull(x, r2)), there is exactly one adjacent location (y) that is a hill (Hill(y)), and there are no other adjacent locations (z) that are hills (¬(z = y)).
(c) The proposition (c) states that resource r1 (Resource(x, r1)) can only appear in the corners of the grid (Corner(x)), and there are no other adjacent locations (y) that contain resource r1 (Resource(y, r1)).
By using logical connectives (∧ for "and," ∨ for "or," ¬ for "not"), quantifiers (∀ for "for every," ∃ for "there exists"), and predicate symbols (Cliff, NonNull, Resource, Hill, Corner), we can express these properties in propositional logic to represent the given statements accurately.
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The table shows values for functions f(x) and g(x) .
Answer:
x = 0 and x = 1
Step-by-step explanation:
Look in the second and third columns where the number is the same.
On the row where x = 0, both f(x) and g(x) turn out to be 1.
On the row where x = 1, both f(x) and g(x) turn out to be 1/2.
They are asking you to point out where f(x) and g(x) are the same. This is happening at x = 0 and x = 1
In case you didn't know, on some of the online platforms, when the answers have circles beside them, there is one right answer. When the answers have squares beside them, you are able to mark more than one right answer (which there may or may not be more than one right answer.)
i need help... my brain stopped working
Answer:
Well n=6
Step-by-step explanation:
This is because if 0=m you put that in the spot were m is and then that would be 0/5 which is 0 than you add 6 which 0+6 = well 6. Then you just plug your x's in to the equation (second part) but if you don't have a x you plug the y in instead.
suppose that a is a 7 × 12 matrix and that t(x) = ax. if t is onto, then what is the dimension of the null space of a?
The dimension of the null space of a is 5.
If t(x) = ax is onto, it means that every element in the codomain of t has at least one preimage in the domain of t. In other words, for any b in R^7, there exists an x in R^12 such that ax = b. Since a has 7 rows and x has 12 columns, it follows that there are 12 unknowns and 7 equations. Therefore, the number of free variables is 12-7 = 5. The null space of a consists of all solutions to the homogeneous equation ax = 0. Since the number of free variables is 5, the dimension of the null space of a is 5.
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In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.
Answer:
47.65 ice
Step-by-step explanation:
Hope this helps :)
A baker used 4 bags of flour every 10 days. He used_
of a bag each day.
Answer:
0.40
Step-by-step explanation:
4/10 = 0.40
explain how u got ur answer pls
Apply the distributive property to the expression 3(x-4) to create an equivalent expressions.
Answer:
The distributive property means that to multiply 3(x-4), you distribute the 3 by multiplying both x and -4 by 3. Therefore, the answer here is (3*x)+(3*-4), which is equal to 3x-12.
Hope this helps!
Step-by-step explanation:
this right? ppl giving me mixed answers
PlEASE HELPPPP
Answer:
Uh yeah Its right...i think
Just make sure if its right
Add 3 to a number and then double the result. If the total is 22, find the number.
Mrs. Ruiz bought 5 bags of balloons for a party. Each bag contained 70 balloons. Andy said Mrs. Ruiz bought a total of 75 balloons. Andy is incorrect. What error did Andy make when calculating the total number of balloons? And What is the total number of balloons Mrs. Ruiz bought?
Answer:
Andy made the error of adding the values of the bags and the ballons, when instead they should be multiplied. The total number of baloons Mrs. Ruiz bought is 350 because 70*5 is 350. You multiple because there are five bags and in each of the five bags, there are 70 balloons.
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABCD Electronics Company has just manufactured 6500 write-rewrite CDs, and 170 are defective. If 6 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted
The probability that the entire batch of 6500 write-rewrite CDs will be accepted, given that 170 are defective and 6 are randomly selected for testing, is approximately 0.859 or 85.9%.
To find the probability that the entire batch of 6500 write-rewrite CDs will be accepted using acceptance sampling, we need to consider the number of defective CDs in the batch and the number of CDs selected for testing.
Given that the batch consists of 6500 CDs and 170 of them are defective, we know that the remaining 6500 - 170 = 6330 CDs are non-defective.
Now, if we randomly select 6 CDs for testing, we want to determine the probability that all 6 CDs are non-defective. To calculate this probability, we need to use the hypergeometric distribution.
The hypergeometric distribution calculates the probability of obtaining a specific number of successes (in this case, non-defective CDs) from a finite population (the entire batch) without replacement.
Using the hypergeometric distribution formula, the probability of selecting 6 non-defective CDs can be calculated as follows:
P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6)
where C(n, r) represents the number of combinations of selecting r items from a set of n items.
Evaluating this expression, we find:
P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6) ≈ 0.859
Therefore, the probability that the entire batch of CDs will be accepted is approximately 0.859, or 85.9%.
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Given that x=8 and y =-2. Find the value of x-y squared
Given that x=8 and y =-2, and the value of x-y squared is 4.
To find the value of x - y², we first need to determine the value of y², and then subtract that value from x.
Given that x = 8 and y = -2, we can substitute these values into the expression x - y² to get:
x - y² = 8 - (-2)²
Since -2 squared is 4, we can simplify the expression further:
x - y² = 8 - 4
Therefore, x - y² = 4.
In summary, when x is 8 and y is -2, the value of x - y² is 4.
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Which expression can be used to show a set of twenty books divided into four groups?
The expression that can be used to show a set of twenty book divided into 4 groups \(\frac{20}{5}\)
Given,
The total number of books= 20
Number of books in each group= 4
We have to use division
Then, the expression used to represent a set of 20 books divided into four group =\(\frac{20}{5}\)
So the result will be 4
Hence, the expression that can be used to show a set of twenty book divided into 4 groups is \(\frac{20}{5}\)
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Describe a situation that can be represented by the expression –14 + 5. In other words, make up a math problem that uses this expression to solve it.
Answer:
is tere a pic?
Step-by-step explanation:
Answer:
[----] means make something up that still makes sense
COPPY ONLY THIS:
[----] took a trip in a submarine. [----] sank 14 yards below sea level. [----] then say a fish above him and rose 5 yards to see it. How many meters below sea level is [----]?
PLEASEEEEE HELP PLEASEEEEE
Answer:
A=2t+29
B=5t+14
39 inches tall at equal height after 5 years
Step-by-step explanation:
Tree A at 5 years
2x5+29=39 inches
Tree B at 5 years
5x5+14=39 inches
Answer:
★ The answer for A= 2t + 19
★ The answer for B= 5t + 14
★ So the answer would 39 inches tall which would be equal to a height after 5 years
Step-by-step explanation:
Hope you have a great day :)
we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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11 Pause
Jose's batting average is 0.250 after 160 times at bat, which means he made a hit 40 of the times he was at bat. He wants to
improve his batting average to 0.333. If he makes a hit the next x times at bat, which equation can be used to calculate the number
of hits needed to obtain this improved batting average?
O A. 2+40
160
.333
Answer:
Step-by-step explanation:
Given that:
Batting average = 0.25 after 160 times at bat;
Batting Average = Number of hits / number of times at bat
0.25 = number of hits / 160
Number of hits = 0.25 * 160 = 40
He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average
Hence,
New average = number of hits / number of times at bat
0.333 = (number of hits + x) / (160 + x)
0.333 = (40 + x) / (160 + x)
LAPLACE TRANSFORM SOLUTION OF ODE'sI will surely upvote!!! for the effort :)PLEASE READ THE PROBLEM CAREFULLY!!!Use CONVOLUTION NOTATION ***note: There is no need to evaluate the integral.
Problem:
Use convolution notation with and set up the integral to write the final answer of the following initial value ODE. There is no need to evaluate the integral.
x" - 8x' + 12x = f(t) with f(t) = 7sin(3t) with x(0) = -3 & x'(0) = 2
The final answer of the given ODE using convolution notation is:L(x) = L{f(t)} * L{x(t)} = 7/(s^2 + 9) * [x'(0) + s x(0) + 7]/[s^2 + 9(s - 6)].
The given differential equation is x" - 8x' + 12x = f(t) with f(t) = 7sin(3t) with x(0) = -3 & x'(0) = 2.The Laplace Transform Solution of the given ODE is as follows:Firstly, taking the Laplace transform of both sides of the differential equation we get:L(x") - 8L(x') + 12L(x) = L(f(t))L(f(t)) = L(7sin(3t)) => F(s) = 7/(s^2 + 9)Applying initial conditions, we get:L(x) = [sL(x) - x(0) - x'(0)]/s^2 - 8L(x)/s + 12L(x) = 7/(s^2 + 9)We can simplify the above expression as follows:L(x) = [x'(0) + s x(0) + 7]/[s^2 + 9(s - 6)]Now, we need to use the convolution property of Laplace Transform to obtain the solution of the given ODE.The convolution formula is given by f(t) * g(t) = ∫f(τ)g(t-τ)dτWe know that L{f(t) * g(t)} = L{f(t)}L{g(t)}Using the above formula, we can get the Laplace Transform solution of the given ODE.
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Answer:
To solve the initial value ODE x" - 8x' + 12x = f(t) using convolution notation, we start by taking the Laplace transform of both sides of the equation. The Laplace transform of the left-hand side becomes
Step-by-step explanation:
\(s^2X(s) - sx(0) - x'(0) - 8(sX(s) - x(0)) + 12X(s),\)
where X(s) represents the Laplace transform of x(t).
Next, we need to express the input function f(t) = 7sin(3t) in terms of the Laplace transform. Using the Laplace transform property for the sine function, we find that the Laplace transform of
\(f(t) is 7 * 3 / (s^2 + 9).\)
Now, we can rewrite the ODE in terms of Laplace transforms as (
\(s^2 - 8s + 12)X(s)\)
\(= 7 * 3 / (s^2 + 9) + 3s + 2.\)
This equation represents the Laplace transform of the ODE.
To find the solution in convolution notation, we set up the integral using the inverse Laplace transform. Multiplying both sides of the equation by the inverse Laplace transform of (s^2 - 8s + 12) gives the expression
The integral notation for the solution is
x(t) = [f * g](t) + [h * j](t),
where
\(f(t) = 7 * 3 / (s^2 + 9), g(t)\)
is the inverse Laplace transform of f(t), h(t) = 3s + 2, and j(t) is the inverse Laplace transform of h(t).
Note that we have set up the integral without actually evaluating it. The final step would involve evaluating the inverse Laplace transforms to obtain the explicit solution x(t) in terms of t.
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write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
i thought of a number. four times the number increased by 30 equals 70 decreased by the number. what was my number?
Answer:
number is 8
Step-by-step explanation:
let n be the number then 4 times the number is 4n and increased by 30 means adding 30 to it , that is 4n + 30
70 decreased by the number means subtracting n fro 70 , 70 - n
then
4n + 30 = 70 - n ( add n to both sides )
5n + 30 = 70 ( subtract 30 from both sides )
5n = 40 ( divide both sides by 5 )
n = 8