Answer:
\((a - b)2 - 2ab \\ (3 - 2) \times 2 - 2 \times 3 \times 2 \\ 1 \times 2 - 2 \times 3 \times 2 \\ 3 - 12 \\ - 9\)
The graph shows the relationship between the number of weeks and the number of hours spent on the computer. What rule relates the number of weeks to the number of hours of computer time?
Answer: multiply the number of weeks by 3 or A ( if in assessment guide book)
Step-by-step explanation: just look at the point where its between 2 and 4
Under which circumstance can a very small treatment effect still be statistically significant?
If the sample size is small and the sample variance is large then
small treatment effect still be statistically significant.
As we know that,
Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.
Sample size is the total number of individuals or items that comprise a sample.
And, the variance is a descriptive statistic, which falls under the category of a measure of spread.
The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.
A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.
Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.
Hence, if the sample size is small and the sample variance is large then
small treatment effect still be statistically significant.
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factor out the greatest common factor ?
Answer:
wait im srry i didnt get the question wht grade u in?
Practice Problems
0.22t
1. If left unchecked, a new strain of flu virus can spread from a single person to others very
quickly. The number of people affected can be modeled using the formula P(t) = e
where represents the number of days the virus is allowed to spread unchecked. Estimate
the number of people infected with the virus after 30 days and after 60 days.
An estimated 50118 peοple will be infected after 60 days
The given fοrmula fοr mοdeling the number οf peοple infected with the virus is:
\(P(t) = e^{0.22t\)
Tο estimate the number οf peοple infected after 30 days, substitute t = 30 intο the fοrmula:
\(P(30) = e^{(0.22*30)} = e^{6.6 = 787.9\)
Therefοre, an estimated 788 peοple will be infected after 30 days.
Tο estimate the number οf peοple infected after 60 days, substitute t = 60 intο the fοrmula:
\(P(60) = e^{(0.22*60)} = e^{13.2 = 50117.9\)
Therefοre, an estimated 50118 peοple will be infected after 60 days.
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Given f(2) = 1093 (92) and g(2) = 30 . Find and simplify (fog) (2)
Refer to image
Given \( f(x)=\log _{3}(9 x) \) and \( g(x)=3^{x} \). Find and simplify \( (f o g)(x) \) \( 2 x \) \( 27^{x} \) \( 2+x \) None of these.
The simplified expression for (f ∘ g)(x) is 2 + x (option d).
To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.
Given:
f(x) = log₃(9x)
g(x) = \(3^x\)
Substituting g(x) into f(x):
(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)
Now, we simplify the expression:
log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)
Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:
log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x
Using the property logₓ\((x^a)\) = a * logₓ(x), we get:
log₃\((3^2)\) + x = 2 * log₃(3) + x
Since logₓ\((x^a)\) = a, where x is the base, we have:
2 * log₃(3) + x = 2 + x
Therefore, (f ∘ g)(x) simplifies to:
(f ∘ g)(x) = 2 + x
So, the correct answer is (d) 2 + x.
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Complete Question:
Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)
(a) 2x
(b) x
(c) \(27^x\)
(d) 2+x
(e) None of these.
To solve 1-variable equations and inequalities, we use additive inverses and/or multiplicative inverses to isolate the variable.
Options:
True
False
The multiplicative inverse of 0.1
Options:
1/10
-10
10
-0.1
The multiplicative inverse of 2/6 is 3.
Options:
True
False
The additive inverse of 80.
Options:
80
1/80
-80
8
The multiplicative inverse of 13.
Options:
-13
0.13
1/13
13/1
1 of 5 questions saved
Answer:
false 1/10 false 80 13/1
Please help me ASAP!!!
Answer:
the third one (2,-18)
Step-by-step explanation:
The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments: investigate further whether the proportions of furnished apartments differ be- tween apartments with different numbers of bedrooms, it is useful to test formally whether the number of bedrooms in an apartment and whether it is furnished or not are independent (a) State the null hypothesis the relevant form of the test statistic and the approximate distri- bution of the test statistic for carrying out this text (b) Provide cross-tabulation of the apartment data by these two factors (you should generate this table using R)
(c) Carry out a formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv. the resulting p-value for the test, or rejection region You should also ensure that you conclude your formal test by interpreting the p-value (or rejection region and your observed test statistic) in terms of the original question discussed above:'
The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments 500x + 900y + 1500z = 750,000
formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
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You are practicing 200-meter sprints, running them back-to-back. You are hoping to improve your time with each repetition, but instead find that your running time is longer with each repetition. Discouraged, you go home and rest. The next day, you run a 200-meter sprint and have your fastest time yet. What is a logical explanation for these results
Step-by-step explanation:
Resting is important for muscle regeneration.
please answer this 1234rt5y6huj7ki
Answer:
The answer would be option B.
Step-by-step explanation:
There are more people clustered in 22-25 years and the outlier is 38-41 years.
what is the value of X in the equation -2/5 x-2 = 18?
A. -50
B. -40
C. -8
D. -6
Answer:
B.
Step-by-step explanation:
What is 5 to the 4th power times 7 to the 4th power? HELP!!!
Answer:
1500625
Work:
5^4 = 625
7^4 = 2401
Multiply them and it equals 1500625
Janet made 7 1/3 pounds of trail mix. If she puts 1 5/6 pounds into each bag, how many
bags can Janet fill?
construct ABCD with AB =5.5cm BC=3.5cm,CD=4cm,AD=5cm, and angle A=45°, with construction steps
Answer:
Step 1: Steps for construction
Take AB at 5.5 cm
Step 2: construct as 45 degree
Step 3: A draw angle ABY=45 degree
Step 4: cut off from AY, a segment AD=5 cm
Step 5: With B as center and radius as 3.5cm draw an arc.
Step 6: With D as the center and mark radius as 5 cm and draw an arc cut the 1st arc at C
Step 7: join B to C and C to D
Result: Then ABCD is a required quadrilateral
Hope this helps you hit the crown :D
tell me if correct ok?
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
1. Lay out points A and B so they are 5.5 cm apart.
2. Set the compass to 5 cm and draw arcs that intersect above and below segment AB. Label the intersection points Y and Z.
3. Draw segment YZ as a perpendicular bisector of AB.
4. Label the intersection of YZ and AB point E.
5. Using E as the center and AE as the radius, draw an arc that intersects segment YZ at F.
6. Draw segment AD through F. D will lie on the circle of radius 5 cm centered at A. This segment makes 45° angle DAB.
7. Draw an arc of radius 4 cm centered at D through the vicinity of point C.
8. Draw an arc of radius 3.5 cm centered at B through the vicinity of C. The intersection point with the arc of step 7 is point C.
9. Draw quadrilateral ABCD meeting the given requirements.
_____
About the attachment
My geometry tool draws circles of a given radius more easily than arcs of a given radius, so you see circles where only arcs are needed.
Find the solution of xay! + 5xy + (4 + 1x)y = 0, x > 0 of the form = oo yı = x" c,x", = n=0 where co 1. Enter r = Cn = , n= 1,2,3,...
The solution of the equation x^ay! + 5xy + (4 + x)y = 0, where x > 0, can be represented as a power series of the form y = ΣCnx^n, where C0 = 1 and Cn = 0 for n = 1, 2, 3, ...
To find the solution of the equation x^ay! + 5xy + (4 + x)y = 0, we can represent the solution as a power series expansion of the form y = ΣCnx^n, where Cn is the coefficient of x^n and n ranges from 0 to infinity. Plugging the power series into the equation, we get:
x^a*(ΣCnx^nn!) + 5x*(ΣCnx^n) + (4 + x)(ΣCn*x^n) = 0
We can then collect the terms with the same powers of x:
ΣCnx^(n+a)n! + Σ5Cnx^(n+1) + Σ(4 + x)Cnx^n = 0
For the equation to hold true for all powers of x, each term with the same power of x must be zero. Therefore, we can determine the coefficients Cn for each power of x. For n = 0, the term ΣCnx^a0! simplifies to C0x^a0! = C0*x^a. Since the equation must hold for all x > 0, the coefficient C0 must be non-zero. Therefore, C0 = 1. For n = 1, the term Σ5Cnx^2 simplifies to 5C1x^2 = 0. Therefore, C1 = 0. Similarly, for n = 2, 3, 4, ... , the terms involving Cn will also be zero, as they are multiplied by powers of x. Hence, the solution of the equation x^ay! + 5xy + (4 + x)y = 0 can be represented as y = C0x^a = x^a, where a is a positive real number, and the coefficients Cn are zero for n = 1, 2, 3, ....
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PLEASE HELP (the picture has the problem)
. what is the probability that a five-card poker hand contains two pairs (that is, two of each of two different kinds and a fifth card of a third kind)?
The probability of obtaining a five-card poker hand that contains two pairs is approximately 0.0475, or 4.75%.
To calculate the probability of obtaining a five-card poker hand with two pairs, we need to determine the number of favorable outcomes (hands with two pairs) and the total number of possible outcomes (all possible five-card hands).
A hand with two pairs consists of two cards of one rank, two cards of another rank, and a fifth card of a different rank. There are 13 ranks to choose from, and for each rank, we can choose 2 out of the 4 cards to form the pairs. The fifth card can be any of the remaining 11 ranks.
The number of ways to select two ranks for the pairs is given by C(13, 2) = 78. For each pair rank, there are C(4, 2) = 6 ways to select the two cards. The fifth card can be chosen from the remaining 11 ranks in C(11, 1) = 11 ways.
Therefore, the number of favorable outcomes is 78 × 6 × 6 × 11 = 37,368.
The total number of possible five-card hands is C(52, 5) = 2,598,960.
Thus, the probability of obtaining a hand with two pairs is 37,368 ÷ 2,598,960 ≈ 0.0475, or 4.75%.
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Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?
The total weight is 18.5 kilograms
You measure the length of a track to be 400±0.2 m. An athlete takes 50.5±0.1sec to run around the track. Use the rules of error propagation to calculate the athlete's speed and the uncertainty in the speed. Show your work. v±Δv=
The athlete's speed is approximately 7.92 m/s, with an uncertainty of 0.0157 m/s.
To calculate the athlete's speed and the uncertainty in the speed, we can use the rules of error propagation. The formula for speed is:
v = d/t
where v is the speed, d is the distance, and t is the time.
Given:
d = 400 ± 0.2 m (distance)
t = 50.5 ± 0.1 s (time)
Let's start by calculating the speed using the central values:
v = 400 m / 50.5 s
v ≈ 7.92 m/s
Now, let's calculate the uncertainty in the speed using error propagation rules. The formula for error propagation when dividing is:
Δv/v = √[(Δd/d)² + (Δt/t)²]
where Δv is the uncertainty in speed, Δd is the uncertainty in distance, and Δt is the uncertainty in time.
Calculating the uncertainty in the speed:
Δv = v * √[(Δd/d)² + (Δt/t)²]
Δv = 7.92 m/s * √[(0.2 m / 400 m)² + (0.1 s / 50.5 s)²]
Δv ≈ 0.0157 m/s
Therefore, the athlete's speed is approximately 7.92 m/s, with an uncertainty of 0.0157 m/s.
Putting it all together, we can write the final result as:
v ± Δv = 7.92 ± 0.0157 m/s
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1)bowl a contains 2 red chips; bowl b contains two white chips; and bowl c contains 1 red chip and 1 white chip. a bowl is selected at random, and one chip is taken at random from that bowl. what is the probability of selecting a white chip? if the selected chip is white, what is the probability that the other chip in the bowl is red?
Probability that selected chip is white: 1/2
Probability that the other chip in the bowl is red given if the selected chip is white: 1/3
Let A be the event that bowl A is randomly selected; let B be the event that bowl B is randomly selected; and let C be the event that bowl C is randomly selected. All these three bowls are equally likely to be selected:
P(A) = P(B) = P(C) = 1/3
The probability of selecting a white chip from a bowl depends on from which bowl the chip is selected.
Let W be the event that a white chip is randomly selected.
Attached is the picture solution.
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Car repairs: Let E be the event that a new car requires engine work under warranty and let T be the event that the car requires transmission work under warranty. Suppose that P(E)=0.04, P(T) -0.1, P(E and T) -0.03. (a) Find the probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the transmission. Part 1 of 2 (a) Find the probability that the car needs work on either the engine, the transmission, or both. The probability that the car needs work on either the engine, the transmission, or both is Part 2 of 2
(b) Find the probability that the car needs no work on the transmission. The probability that the car needs no work on the transmission is
The probability that the car needs no work on the transmission is 0.9.
Given: Let E be the event that a new car requires engine work under warranty, P(E) = 0.04
Let T be the event that the car requires transmission work under warranty, P(T) = 0.1
P(E and T) = 0.03
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
We know that, P(E or T) = P(E) + P(T) - P(E and T)
Putting the values, we get:P(E or T) = 0.04 + 0.1 - 0.03 = 0.11
Therefore, the probability that the car needs work on either the engine, the transmission, or both is 0.11.
(b) Find the probability that the car needs no work on the transmission.
The probability that the car needs no work on the transmission is given by:P(not T) = 1 - P(T)
Substituting P(T) = 0.1, we get:
P(not T) = 1 - 0.1 = 0.9
Therefore, the probability that the car needs no work on the transmission is 0.9.
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Use the following to write and solve a proportion to find the values of X, Y and Z.
Answer:
x = 48-32 = 16
y = 32/16 × 10 = 20
z = 48/32 × 26 = 39
Help please guys if you don’t mind
Step-by-step explanation:
Step 2:
\( ({15x}^{2} - 9x) + (5x - 3)\)
Stepc3:
\(3x(5x - 3)\)
If AABC = ADEC,
ZB = 50° and ZE = 5x
A
B
С
E
U
x= [?]
tar
Answer:
x = 10
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
∠ E = ∠ B , that is
5x = 50 ( divide both sides by 5 )
x = 10
give me the answer pease help
Answer:
D. \(9(y+3) and 27+9y\)
Step-by-step explanation:
The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.
Henry's family members choose numbers to assign
chores. The person who draws the highest number is the
first to select a chore. The numbers 1 through 10 are
written on pieces of paper. All numbers are equally likely to
be chosen.
What is the probability that the first person will choose a number greater than
6?
A10
6
B4
10
C6
10
D10
4
hector received three a's and one b in his college courses. what is his grade point average?assume each course is three credits. a
The grade point average received by hector is 3.75.
What is GPA?Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.
The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.
3 a and one is B received by Hector.
The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college
We have GPA= A+A+A+B/4
GPA=4+4+4+3/4
GPA= 15/4
GPA=3.75
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Complete question
Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0
3,532 divided by 8
(I trying to keep simple so ye I will mark brqainliest and this is timed answer ASAP)
Answer:
441.5
Step-by-step explanation:
When the number c is divided by seven,
the quotient is equal to six. Find the
value of c.
Answer:
42
Step-by-step explanation:
The equation is, c/7 = 6
c/7= 6
By multi[lying both sides with seven,
c = 6*7
c = 42
Hope this helps you
Please mark as brainliest
Thank You
In a certain city, the mean household annual income is $45,000 with a standard deviation of $6,000.
Suppose a certain household has an annual income with a z-score of 1.5. What is their annual income?
The annual income of a certain household that has a z-score of 1.5, is 80,000.
What is z-score?The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.
Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.
Let the annual income be x.
x has μ = 50000, σ = 20000
We know that for given x, z = (x−μ)/σ
Given that z - score = 1.5
Substituting the values we get
⇒ 1.5 = (x−50000)/20000
⇒ 1.5 × 20000 = x−50000
⇒ 30000 = x − 50000
⇒ x = 30000 + 50000
⇒ x = 80,000
Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.
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