Answer:
16 4/5
Step-by-step explanation:
1. Divide 5 3/5 by 2 (2 4/5)
2. Multiply 2 4/5 by 2 and multiply 5 3/5 by 2 (5 3/5) (11 1/5)
3. Add them together (16 4/5)
Which of the following distributions has a mean that varies? I. The population distribution II. The distribution of sample data III. The sampling distribution of the sample mean
O ll only
O IIl only
O I only
O all three distributions
O II and III
The following distributions has a mean that varies
II. The distribution of sample data
III. The sampling distribution of the sample mean
The correct answer is option v) II and III."
Here, we have,
In the context of statistical distributions:
I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.
II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.
III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.
Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).
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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.
In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.
The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.
It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.
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we need the full answer please help asap
Answer:
y=-1/2x+2
Step-by-step explanation:
lallalallalalllala
an electric kettle take 3 minutes to boil a litre of water. how long will it take to boil half litre
It will take 1.5 minutes to boil half liter of water .
Given,
Electric kettle take 3 minutes to boil a liter of water.
Now,
1 liter of water boils in 3 minutes .
so,
1 liter ⇒ boils in 3 minutes
1/2 liter ⇒ boils in 3/2 minutes
Thus,
1/2 liter boils in 1.5 minutes in an electric kettle .
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I don’t understand slopes at all! Can someone please help?Write an equation in slope-intercept form for a line that goes through the points (-3, 5) and (2, 8).
Answer:
Step-by-step explanation:
y2-y1
x2-x1=
y=mx+b
8-5
2+3=
3/5 = slope
b=0
y=3/5x
factor 25-4z^2
im having trouble with a question
Answer:
(5-2z)(5+2z)
Step-by-step explanation:
25 -4z^2
Rewriting
5^2 - (2z)^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(5-2z)(5+2z)
hello please help thanks
Answer:
d
Step-by-step explanation:
because the sun uses thermal energy to heat the water and make it eveaporate
pls mark brainliest and hope this helps
The formula m =1/2(a+b) gives the mean M of two numbers a and b
a.express a in terms of m and b
b.hence find a when m=19 and
b=23
Answer:
a = 2m - b , a = 15
Step-by-step explanation:
(a)
m = \(\frac{1}{2}\) (a + b) ← multiply both sides by 2 to clear the fraction
2m = a + b ( subtract b from both sides )
2m - b = a
(b)
when m = 19 and b = 23 , then
a = 2(19) - 23 = 38 - 23 = 15
a. 'a' in terms of m and b is given by: a = 2m - b.
b. when m = 19 and b = 23, the value of 'a' is 15.
a. To express a in terms of m and b, we can rearrange the mean formula:
m = (1/2)(a + b)
Now, we'll solve for 'a':
Multiply both sides by 2 to eliminate the fraction:
2m = a + b
Subtract 'b' from both sides:
2m - b = a
So, 'a' in terms of m and b is given by: a = 2m - b.
b. Now that we have the expression for 'a', we can find its value when m = 19 and b = 23:
a = 2m - b
a = 2(19) - 23
a = 38 - 23
a = 15
So, when m = 19 and b = 23, the value of 'a' is 15.
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find the inverse of the function
F(x) = x² + 2x₁ [-1, 00]
Andrew is home one winter day studying for an exam. It is lunchtime and he is hungry. Instead of making a sandwich from roast beef in the fridge, he drives to taco bell and spends $5 for 2 tacos, a burrito, and a dr. Pepper. He reasons that he can make $10 per hour cutting lawns so he really saves $5 by going to taco bell rather than preparing his own meal. What's wrong with andrews argument?.
Answer:
He cannot save $5 when he is buying something instead of making it himself.
Step-by-step explanation:
He makes $10 from lawn mowing and spends $5 on Taco Bell. He has $5 left.
If he made is lunch, He would have had $10 dollars.
Andrew's argument is flawed because he is not considering all of the costs and benefits associated with his decision to go to Taco Bell instead of preparing his own meal.
What is the argument?An argument is a collection of claims, the premises of which are provided in support of another statement, the conclusion.
There are a few problems with Andrew's argument.
First, he is assuming that the only cost of preparing his own meal is the price of the ingredients. However, there are also opportunity costs associated with preparing his own meal, such as the time he spends making it and the opportunity to do something else during that time (such as study for his exam).
Second, Andrew is assuming that he would have spent the same amount of money on ingredients as he did on his meal at Taco Bell. However, it is possible that the ingredients he would have used to make his own meal would have cost less than $5, in which case he would not have saved as much money as he thinks.
Finally, Andrew is assuming that he would have spent the same amount of time preparing his own meal as he did going to Taco Bell. However, it is possible that it would have taken him longer to prepare his own meal, in which case the opportunity cost of his time would have been even higher.
Overall, Andrew's argument is flawed because he does not evaluate all of the expenses and advantages of his decision to eat at Taco Bell instead of cooking his own dinner.
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which part of the expression -2(3 +4) is the sum of two terms
The part containing the sum of two terms in the given expression can be found to be as (3 + 4) and (6 + 8) respectively.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
here, we have,
The given expression is 2(3 + 4).
It can be rewritten as follows,
2(3 + 4)
=2 × 3 + 2 × 4
=6 + 8
or, 2 × 7
Thus, in order to find the expression for sum of two terms in the given expression, there can be two possible ways, the first is (3 + 4) and the other is (6 + 8).
Hence, the sum of two terms in the given expression is found to be as (3 + 4) and (6 + 8) respectively.
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How many solutions do the equations below have?
5x=5x+3
5x+6=6x+5
5x+6=5x+6
2x+4=4x+2
2x+4=2x+4
2x=2x+4
The results of a paired-difference test are shown below to the right. d = 5.6
a. Construct and interpret a 99% confidence interval estimate for the paired difference Sd =0.25 in mean values.
b. Construct and interpret a 90% confidence interval estimate for the paired difference n=16 in mean values_ (Round to two decimal places as needed:) Choose the correct answer below:
OA This interval will contain the true population mean 90% of the time_
OB. There is a 90% chance that the true population mean is contained in the interval.
Oc: If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean: 0
D. Approximately 90% of the differences will be contained in the interval.
If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.
When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.
This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.
The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.
In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.
It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.
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k+4=5
k=?
Please I need help
Answer:
1 its an obvious answer cause 1+4=5
3 *(x-7)*(x+7)-(x-1)*(3x+2)=13
The value of x will be 158. The value of x is obtained by simplifying the equation.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Identity used;
(x+a)(x-a) = x² - a²
Given expression;
3(x-7)(x+7) - (x-1)(3x+2) = 13
Solving the equation step by step;
\(\rm 3(x^2 - 7^2 ) - [x(3x+2)-1(3x+2) ]= 13\\\\ 3x^ 2 -147 -[3x^2 +2x -3x-2] = 13 \\\\ 3x^2 -147 -[3x^2 -x-2] = 13\\\\ 3x^2-147-3x^2 +x+2 = 13 \\\\ x= 13+145 \\\\ x= 158\)
Hence, the value of x will be 158.
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Can y’all help me on number 20
Answer: A: 7.75
Step-by-step explanation:
20.50 + 3.75 - 5.25 + 750 - 18.75 = 7.75
9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the \(US\) is \(2cm\).
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle \(RSTU\), diagonals \(RT\) and \(SU\) intersect
at \(O\). If \(RT = 6x + 4\) and \(SO = 7x - 6\),
\(US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12\)
So,
\(6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2\)
Hence, option (2) is correct i.e., the length of the \(US\) is \(2cm\).
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what is the probability that a sequence of five flips of a fair coin will not land heads up twice in a row?
The probability that a sequence of five flips of a fair coin will not land heads up twice in a row is 13/32.
My strategy is that if we cannot have two heads in a row, we also cannot have three, four, or five heads in a row. Noting the similarity between these two occurrences:
{no HH}={not (exactly HH or not exactly HHH or exactly HHHH)}={not exactly HH and not exactly HHH and not exactly HHHH}.
These can then be expressed as complementary probabilities as follows:
P(no HH)=P(not exactly HH) ×P(not exactly HHH)× P(not exactly HHHH)× P(not exactly HHHHH)=1−P(exactly HH)×1−P(exactly HHH)×1−P(exactly HHHH)×1−P(exactly HHHHH)
We can easily compute these probabilities:
P(exactly HH)P(exactly HHH)P(exactly HHHH)P(exactly HHHHH)=425=325=225=125
The likelihood that there will be no double heads anywhere in the sequence is thus:
∏i=14(1−i25)≈0.720
Hence, A sequence of five fair coin flips has a 13/32 chance of not landing heads up twice in a row.
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A manufacturer records the number of errors each work station makes during the week. The data are as follows 6 3 2 3 5 20 254201 Which of these choices display the correct dotplot?
O A. Number of Errors for the Week for Workstations
O B. Number of Errors for the Week for Workstations 0 10 10
O C. Number of Errors for the Week
O D. Number of Errors for the Week for Workstations for Workstations 10 10
The correct dot plot for the given data would be option A. Number of Errors for the Week for Workstations.
A dot plot is a graph that displays the frequency of a data set by plotting a dot above the number for each occurrence of that number. The x-axis represents the data values and the y-axis represents the frequency of each data value.
In this case, the data represents the number of errors each workstation makes during the week, so the correct way to display the data in a dot plot would be to have the x-axis represent the number of errors and the y-axis represents the frequency of each error. Each dot on the dot plot would be above the number of errors for each workstation.
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The linear functions f( x) and g(x) are represented on the graph where g(x) is a transformation of f(x)
A) Describe two types of transformations that can be used to transform f(x) to g(x)
B) Solve for k in each type of transformation
C ) Write an equation for each type of transformation that can be used to transform f(x) to g(x)
Please help :)
(A) Two types of transformations that can be used to transform f(x) to g(x) are translation and dilation (stretching or compressing).
A) Two types of transformations that can be used to transform f(x) to g(x) are translation and dilation (stretching or compressing).
B) To solve for k in each type of transformation:
1. Translation: If g(x) is a vertical translation of f(x), we have g(x) = f(x) + k, where k is the amount of vertical shift. If g(x) is a horizontal translation, we have g(x) = f(x - k), where k is the amount of horizontal shift.
2. Dilation: If g(x) is a vertical dilation of f(x), we have g(x) = k * f(x), where k is the dilation factor. If g(x) is a horizontal dilation, we have g(x) = f(k * x), where k is the dilation factor.
C) Equations for each type of transformation that can be used to transform f(x) to g(x) are:
1. Translation:
- Vertical translation: g(x) = f(x) + k
- Horizontal translation: g(x) = f(x - k)
2. Dilation:
- Vertical dilation: g(x) = k * f(x)
- Horizontal dilation: g(x) = f(k * x)
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what is the value of the function f(x)=1/4s-3 when x=12
Answer:
f(12) = 0
Step-by-step explanation:
f(x) = 1/4s - 3 x = 12
f(12) = 1/4(12) - 3
f(12) = 3 - 3
f(12) = 0
Answer:
\( \tt \:f(x) = \dfrac{1}{4} \times x - 3\)
\( \tt \:f(x) = \dfrac{1}{4 } \times 12 - 3\)
\( \tt \:f(x) = 3 - 3\)
\( \tt \:f(x) = 0\)
EXPLANATION PLEASE AND ILL BRAINLIEST YOU
Answer:
blank 1: 24
Step-by-step explanation:
According to Pythagoras' Theorem, in a right-angled triangle,
(side 1)² +(side 2)²= (hypotenuse)²
Applying Pythagoras' Theorem,
x² +18²= 30²
x² +324= 900
x²= 900 -324 (-324 on both sides)
x²= 576
\(x = \sqrt{576} \)
x= 24 ft
The water level in Lisa's fish tank drops 1/3 of an inch every 10 minutes. What is the change in the water level after 1 hour?
Answer:
2 inches
Step-by-step explanation:
60 min/ 10 min= 6
6* 1/3= 6/3 or 2
Hope this helps!
Answer:
well it would go down 6 times so 1/3 6 times bc there is 60 minutes in an hour so 6 times 10 is 60.
Step-by-step explanation:
are there options??
A pack of 6 gatorades costs $4.50. What is the price per Gatorade?
Answer:
$0.75
Step-by-step explanation:
Given that a pack of 6 Gatorades costs 4.50, simply divide 4.50 by 6.
4.50/6=0.75
Thus, $0.75 is your answer.
(Please Mark Brainliest.)
I need answer on this problem tyt
\(3.05 \times 10 ^{8} m/s\)
Seconds in a year:\(3.15 \times 10 ^{7} \)
\(\rule{300pt}{3pt}\)
Multiply the speed of light with seconds in a year
*Note:- We will not change the values because speed of light is in m/s and the time is also given in seconds.
\(\rule{300pt}{3pt}\)
\(3.08 \times 10 ^{8} \times 3.15 \times 10 ^{7} \)
\((3.05 \times 3.15) \times (10 ^{8} \times 10 ^{7} )\)
\(9.4675 \times 10 ^{15} \)
\( \tt9.46 \: Trillion \: Kilometers\)
A guest gets on the elevator at the 24th floor. How many floors must the
person travel to get to her car parked on the floor -7?
Answer:
31 floors (32 floors if 0 counts as a floor)
Step-by-step explanation:
24 - (-7) = 31
x+y = -16
—3х – у = 30
Answer:
x = -7, y = -9
Step-by-step explanation:
The coefficient (the number before) the y is the same but the signs are opposite so add the equations together:
x-3x+y-y=-16+30
-2x=14
x=-7
y=-16-x=-16--7=-9
Find the perimeter of the composite heart shape, round to two decimal places. pls help
Answer:
18.00 cm
Step-by-step explanation:
This composite heart shape consists of two semi-circles and a rectangle.
\(r_{ssc}\) = radius of small semi-circle
= \(\frac{3 cm}{2}\) = 1.5 cm
\(r_{bsc}\) = radius of big semi-circle
= \(\frac{4 cm}{2}\) = 2 cm
Perimeter of this composite shape
= Perimeter of big semi-circle + Perimeter of small semi-circle + 2 outer sides of the rectangle
= \((\frac{2}{2} \pi r_{bsc} + \frac{2}{2} \pi r_{ssc} + 3 + 4)\) cm
= \((\pi r_{bsc} + \pi r_{ssc} + 3 + 4)\) cm
= \([\pi (2) + \pi (1.5) + 3 + 4]\) cm
= \((2\pi + 1.5\pi + 7)\) cm
= \((3.5\pi + 7)\) cm
= 17.995 cm
= 18.00 cm (Rounded to two decimal places)
The probability a household in a community uses gas for cooking is 0.18. If a shopper from the community is from a household that uses gas for cooking, there is a 0.7 probability the person shops at Prime Foods. If a shopper is from a household that does not use gas for cooking, there is a 0.35 probability the person shops at Prime Foods.
If a person from the community does not shop at Prime Foods, what is the probability gas is not used for cooking at that household?
a.
0.08
b.
0.35
c.
0.533
d.
0.793
e.
0.908
The probability that gas is not used for cooking at a household can be determined by considering the probabilities of shopping at Prime Foods and using gas for cooking.
Let's denote the event of using gas for cooking as G and the event of shopping at Prime Foods as P. We are given that the probability of G is 0.18, and the conditional probabilities are as follows: P(G) = 0.7 and P(~G) = 0.35.
To find the probability of gas not being used for cooking, we need to calculate P(~G|~P), which represents the probability of not using gas for cooking given that a person does not shop at Prime Foods.
Using conditional probability, we have P(~G|~P) = P(~G∩~P) / P(~P). Here, P(~G∩~P) represents the probability of both not using gas for cooking and not shopping at Prime Foods, and P(~P) represents the probability of not shopping at Prime Foods.
Since P(~G∩~P) + P(G∩~P) = P(~P), we can rewrite the equation as P(~G|~P) = [P(~G∩~P) + P(G∩~P)] / P(~P).
We are given P(G∩~P) = P(G) * P(~P|G) = 0.18 * (1 - 0.7) = 0.054.
Therefore, P(~G|~P) = [P(~G∩~P) + P(G∩~P)] / P(~P) = (0.054 + 0) / (1 - 0.35) = 0.054 / 0.65 ≈ 0.083.
So, the probability that gas is not used for cooking at the household, given that a person does not shop at Prime Foods, is approximately 0.083, which is option (a).
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Ifx=−8, evaluate the following expression:(x−2)(x+4)x(x+9)
Answer:
= 40
Step-by-step explanation:
so if you mean x = -8
\((x - 2)(x + 4) \times (x + 9) \\ \)
\(( - 8 - 2)( - 8 + 4) \times ( - 8 + 9)\)
\(( - 10)( - 4) \times 1\)
\(40 \times 1\)
\(40\)
Simplify the expression. 32 1/5 =