asking questions, formulating a hypothesis, testing the hypothesis, drawing conclusions, and reporting the results are steps in the
Answers
Asking questions, formulating a hypothesis, testing the hypothesis, drawing conclusions, and reporting the results are steps in the: scientific method.
What is scientific method?Scientific method refers to a process that has been the hallmark of natural science since the 17th century and entails systematic observation, measurement, and experiment as well as the creation, examination, and change of hypotheses.
Now,
As stated in the definition of Scientific Method, the steps so followed to proceed with one are:Asking questionsFormulating a hypothesisTesting the hypothesisDrawing conclusionsReporting the resultsThese steps are to be followed in the mentioned order, in order to result in a successful scientific method.Hence, Asking questions, formulating a hypothesis, testing the hypothesis, drawing conclusions, and reporting the results are steps in the: scientific method.
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Related Questions
Martin Lukarevski, a super-hard problem published by Cambridge:
Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation
(x + y − k)(x + y + k)=1+xy.
Answers
Answer:
Yagub Muallim is watching, grave is loading .
Step-by-step explanation:
how many even numbers of 3 digits can be formed of the digits 1,2,3,4,5,6 when repitition of digits is allowed
Answers
Answer:
To find the number of three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed, we can use the formula for permutations:
Step-by-step explanation:
Number of permutations = (number of choices for the first digit) x (number of choices for the second digit) x (number of choices for the third digit)
In this case, we have 6 choices for each digit, since we are allowed to repeat the digits. Using the formula, we get:
Number of permutations = 6 x 6 x 6 = 216
Therefore, there are a total of 216 three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed.
However, not all of these will be even. For a number to be even, the last digit must be even, so the last digit can only be 2, 4, or 6. This means that there are 3 choices for the last digit.
Therefore, the total number of even 3-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 is 366=108.
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please help! i’ll mark brainliest
Answers
A patio has dimensions of 25 feet by 35 feet. What is its area?
Answers
Answer:
3
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
Suppose random variable X has probability density function f(x)=xe −x
for x>0 and f(x)=0 otherwise. Find probabilities P(11). Suppose X={ 1,
0,
with probability 1/2;
with probability 1/2,
and { Y∣X=0
Y∣X=1
∼ exponential with mean 1
∼ exponential with mean 2.
Find the conditional probability P(X=1∣Y≥3). 4. Suppose X is of exponential distribution with E(X)=1,Y is of standard normal distribution with density ϕ(y)= 2π
1
e −y 2
/2
and cumulative distribution function Φ. Suppose X and Y are independent. Derive the density function f W
(w) for W=X+Y in terms of Φ.
Answers
3) The resulting density function \(f_W(w)\) can be derived by evaluating the integral. However, the integral does not have a closed-form solution and requires numerical methods or specialized techniques to calculate.
1. To find the probability P(11) for the random variable X with the probability density function f(x) = xe^(-x), we need to calculate the definite integral of the density function over the interval [1, ∞):
P(11) = ∫[1, ∞) f(x) dx
P(11) = ∫[1, ∞) xe^(-x) dx
To solve this integral, we can use integration by parts or recognize that the integrand is the derivative of the Gamma function.
Using integration by parts, let u = x and dv = e^(-x) dx. Then du = dx and v = -e^(-x).
P(11) = -[x * e^(-x)] [1, ∞) + ∫[1, ∞) e^(-x) dx
P(11) = -[x * e^(-x)] [1, ∞) - e^(-x) [1, ∞)
Evaluating the expression at the upper limit (∞), we have:
P(11) = -[∞ * e^(-∞)] - e^(-∞)
Since e^(-∞) approaches zero, we can simplify the expression to:
P(11) = 0 - 0 = 0
Therefore, the probability P(11) for the given density function is 0.
2. For the random variables X and Y with the given distributions, we want to find the conditional probability P(X = 1 | Y ≥ 3).
By using Bayes' theorem, the conditional probability can be calculated as:
P(X = 1 | Y ≥ 3) = P(X = 1 ∩ Y ≥ 3) / P(Y ≥ 3)
Since X and Y are independent, the joint probability can be expressed as the product of their individual probabilities:
P(X = 1 ∩ Y ≥ 3) = P(X = 1) * P(Y ≥ 3)
P(X = 1 ∩ Y ≥ 3) = (1/2) * P(Y ≥ 3)
The exponential distribution with mean 2 has the cumulative distribution function (CDF) given by:
F_Y(y) = 1 - e^(-y/2)
To find P(Y ≥ 3), we can use the complement property of the CDF:
P(Y ≥ 3) = 1 - P(Y < 3) = 1 - F_Y(3)
P(Y ≥ 3) = 1 - (1 - e^(-3/2)) = e^(-3/2)
Substituting this into the previous expression, we have:
P(X = 1 ∩ Y ≥ 3) = (1/2) * e^(-3/2)
Finally, calculating the conditional probability:
P(X = 1 | Y ≥ 3) = P(X = 1 ∩ Y ≥ 3) / P(Y ≥ 3)
P(X = 1 | Y ≥ 3) = [(1/2) * e^(-3/2)] / e^(-3/2)
P(X = 1 | Y ≥ 3) = 1/2
Therefore, the conditional probability P(X = 1 | Y ≥ 3) is equal to 1/2.
3. To derive the density function \(f_W(w)\) for the random variable W = X + Y, where X is exponentially distributed with E(X) = 1 and Y is standard normally distributed with density ϕ(y) = (1/√(2π)) * e^(-y^2/2
), we can use the convolution of probability density functions.
The density function for the sum of two independent random variables can be obtained by convolving their individual density functions:
\(f_W(w)\) = ∫[-∞, ∞]\(f_X\)(w - y) *\(f_Y\)(y) dy
Since X is exponentially distributed with mean 1, its density function is \(f_X(x)\) = e^(-x) for x ≥ 0, and Y is standard normally distributed with density ϕ(y), we have:
\(f_W(w)\) = ∫[0, ∞] e^-(w-y) * e^(-y) * ϕ(y) dy
Simplifying the expression, we get:
\(f_W(w)\) = ∫[0, ∞] e^(-w) * e^(-y) * ϕ(y) dy
Since Y follows a standard normal distribution, the density function ϕ(y) is given as:
ϕ(y) = (1/√(2π)) * e^(-y^2/2)
Substituting this into the previous expression, we have:
\(f_W(w)\) = (1/√(2π)) * ∫[0, ∞] e^(-w) * e^(-y) * e^(-y^2/2) dy
Since X and Y are independent, their sum W = X + Y is a convolution of exponential and normal distributions.
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what is the answer to number 2 at the top?
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The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1
Writing an exponential function for the graph of g(x)From the question, we have the following parameters that can be used in our computation:
Parent function: y = 2^x
The graph of the transformed exponential function g(x) passes through the points (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)
So, we have the following transformation steps:
1st Transformation:
Reflect y = 2^x across the y-axis
So, we have
y = 2^-x
2nd Transformation:
Translate y = 2^-x down by 1 unit
So, we have
y = 2^-x - 1
This means that
g(x) = 2^-x - 1
Hence, the equation of the function g(x) is g(x) = 2^-x - 1
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whats 9+10x+8= i need to know
Answers
Answer
x = − 17 /10 + I/ 10
( Fraction symbol = /)
What is the rate of return when 10 shares of Stock
A, purchased for $15/share, are sold for $210? The
commission on the sale is $6.
Rate of Return =[?]%
Give your answer as a percent rounded to the
nearest tenth. (already tried 36%)
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Set up a ratio: 150/100 = 210/x, or your investment gave you a return of 36% of the 150 you invested.
How do I calculate rate of return?The investment's initial value is subtracted from its current value, which is then divided by the investment's original value to determine a simple rate of return.
The calculation is as follows in light of the facts above:
The entire sum should be
30 × 15
= $450
= 210 - 6
= $204
The total amount should be because it was sold for $210 plus a $6 commission.
Right now, rate of return is
= (204 - 450) ÷ 204×100
= 16.58%
You spent $150 to purchase 10 shares at a price of 15%, or 36%. You made 54$ after subtracting the commission of $6 and selling it for 210$.
Set up a ratio: 150/100 = 210/x, or your investment gave you a return of 36% of the 150 you invested.
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Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
Write an equation to model this situation using h to represent the number of hours the repairs take, p to represent the cost of the parts and, cto represent the
total cost of the repairs.
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
$
Answers
Answer:
Part A
c = p + 55h
Part B
$362
Step-by-step explanation:
Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
h = the number of hours
p = the cost of the parts
c = the total cost of the repairs.
The equation to model this situation is written as:
c = p + $55 × h
c = p + 55h
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
From the above question:
p = $142
h = 4
Since our equation =
c = p + 55h
Hence,
c = 142 + 55 × 4
c = 142 + 220
c = 362
Therefore, the cost of repairs = $362
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
Answers
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
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what is the correct answer to 4x1 3/8
Answers
Answer:
3/2
Step-by-step explanation:
That's the answer mark me brainliest Please
Answer:
Step-by-step explanation:
4*1 3/8=
4/1 * 11/8=
11/2 or 5 1/2
graph a line that is perpendicular to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line. click and drag to plot a perpendicular line. the line will change colors when a parallel or perpendicular line is drawn accurately.
Answers
The line given passes through two points. These are (-6,0) and (0,-8).
Remember that two lines are perpendicular if the product of their slopes is -1. So, the first thing we're going to do is to find the slope of the line given.
The slope between two points (x1,y1) and (x2,y2) can be found using the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)If we replace our values:
\(m=\frac{-8-0}{0-(-6)}=\frac{-8}{6}=-\frac{4}{3}\)To find other perpendicular line to this one, we have to find a number which multiplication with -4/3 is -1.
This number is clearly 3/4. Because
\(\begin{gathered} m_1\cdot m_2=-1 \\ -\frac{4}{3}\cdot m_2=-1 \\ \\ m_2=\frac{3}{4} \\ \\ -\frac{4}{3}\cdot\frac{3}{4}=-1 \end{gathered}\)Therefore, the slope of the perpendicular line must be 3/4, and the original slope is -4/3.
If we graph this:
2/5 of 25 can someone help I’m not the best at math
Answers
Answer:
2/5 x 25 = 10
Step-by-step explanation:
hope this helps
Answer:
10
Step-by-step explanation:
First, we divide 25 to 5 to get 5. Then we use the 2 to multiply 2 and 5.
You should get 10 and that's your answer!
what’s the error for the mathematical equation
Answers
Answer:
-17.4 > x means that any answer less than -17.4 makes the inequality true. Thus, the person has the arrow going the wrong way as it should be pointing left to the numbers less than -17.4
Answer:
The error is either the line graph or the equation is wrong. -17.4 > x means that -17.4 is the largest possible number and anything under it would be a solution. However, the number line shows that everything above -17.4 is a solution, so therefore the equation would have to be -17.4<x instead.
Writer the equal ratios 6:8,24:32,3/4:1
Answers
Answer:
12:16
48:64
3:4
48:64
3:4
Are your answers
A potter is designing a large ceramic planter to grow herbs in. He wants to spin it on his potter’s wheel and fire it in his kiln. Before he begins, he needs to determine the dimensions of his pot so that he knows it will have enough volume to hold a bag of potting soil. The potter has drawn a 2-D view of the planter. Assume the base of the pot has a radius of 7 inches in all directions.
Answers
The volume of the pot is = 731.2 cubic inches.
What is volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured.
The space occupied within an object's borders in three dimensions is referred to as its volume.
It is sometimes referred to as the object's capacity.
Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.
Since the forms of various three-dimensional objects vary, so do their volumes.
According to our answer-
volume of a pot is = πr²h + 2πr³
22/7 * 698/3
731.2 cubic inches
Hence, The volume of the pot is = 731.2 cubic inches.
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Evaluate the expression when b=-6.
Answers
Answer:
\(36 +( 5 \times - 6) - 5 = 36 - 30 - 5 = 1\)
Hey there!
b^2 + 5b - 5
= -6^2 + 5(-6) - 5
= -36 + (-30) - 5
= -66 - 5
= -71
Therefore, your answer is: -71
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
algebra is confusing and I don't know what this means
Answers
Ok, here we can see in the graph that the function is negative when x <0.
What value of x makes the
equation frue?
X - 13 = 25
Answers
Answer:
38
Step-by-step explanation:
x-13=25
+13 +13
_________
x=38
Answer:
38
Step-by-step explanation:
38-13=25.
To find this add thirteen to 25
For item numbers 7-11, tell what relationship exists between the measures of each pair of angles.
Answers
Answer:
7-B (congruent)
8-D (supplement)
9-B (congruent)
10-B (congruent)
11-D (supplement)
Step-by-step explanation:
7- 1 and 3 are congruent using the corresponding angles theorem
8- they are supplements using the same side interior angle theorem
9- they are congruent using alternate interior angle theorem
10- they are congruent using the alternate exterior angle theorem
11- they are supplements using the same side exterior angle theorem
ur wlcm :)
brainliest?
Which number line represents the solution to the inequality 125x + 200 > 1,200?
9
A Att
-10
-8 -6
-4
--2
0
2
4
6
8
10
B
-10
-8
-6
-4
-2
0
2
4
+ ++
6 8 10
с
AHHH
-10 -8 -6
-4
-2
o
2
4
6
8
10
D
-10
-8
-6
-4
-2 0
2
4
6
8
10
Answers
Answer:
see below
Step-by-step explanation:
25x + 200 > 1,200
Subtract 200 from each side
25x + 200-200 > 1,200-200
25x> 1000
Divide by 25
25x/25 >1000/25
x>40
16|r-5|=-32
HELP i suck at algebra plz
Answers
Answer:
12
Step-by-step explanation:
I hate math bro please help me ill mark u brainliest
Answers
If you were counting by 4's, what are the next three numbers you would
count?
56, 60, 64, 68, ?, ?, ?...
OA. 72, 80, 88
OB. 76, 80, 84
C. 72, 76, 80
OD. 60, 64, 68
Answers
Answer: The answer would be C
Step-by-step explanation:
If we start from 56,60,64,68 and were adding 4 each time the next numbers would be 72,76,80
Find the area of the polygon with the given vertices.
N(-4,1), P(1, 1), Q(3,-1), R(-2,-1)
The area is
square units
Answers
Answer: 3-(-2)*1-(-1)=10sq.
Step-by-step explanation:
12. Four less than the quotient of a number and 3 is -10.
Answers
Answer:
n/3 - 4 = 10
Step-by-step explanation:
hope this helps
a random variable x follows a binomial distribution with mean 6 and variance 3.6. find the values of the parameters n and p
Answers
Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.
What is binomial?In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".
The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.
The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.
We know that for a binomial distribution, the mean and variance are given by:
Mean = np
Variance = np(1-p)
Substituting the given values, we have:
Mean = 6
Variance = 3.6
Thus, we can write two equations:
6 = np
3.6 = np(1-p)
We can solve for n and p by substituting the first equation into the second equation:
3.6 = (6/p) * (1-p) * p
3.6 = 6 - 6p
6p = 6 - 3.6
p = 0.4
Substituting this value of p into the first equation, we get:
6 = n * 0.4
n = 6 / 0.4
n = 15
Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.
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If a patient suffers from hypervolemia, which of the following hypotheses might explain the cause?
The patient's aldosterone secretion is too high. Therefore, too much salt is reabsorbed and as a consequence, water is also retained to counterbalance salt concentrations.
Too few natriuretic peptides are released. As a result, stretching of the atria due to excess water volume does not trigger inhibition of ADH or aldosterone.
Too much antidiuretic hormone is secreted. Thus, there is an excess retention of water and the thirst centers are stimulated.
Answers
All of the mentioned hypotheses can potentially explain the cause of hypervolemia in a patient.
1. High aldosterone secretion: Increased aldosterone secretion leads to excessive salt reabsorption, causing water retention to maintain salt concentration balance.
2. Insufficient natriuretic peptides: When there are too few natriuretic peptides released, the stretching of the atria due to excess water volume does not inhibit ADH or aldosterone, causing hypervolemia.
3. Excess antidiuretic hormone secretion: Over-secretion of antidiuretic hormone results in excessive water retention and stimulation of thirst centers, leading to hypervolemia.
Hypervolemia can be caused by various factors, including increased aldosterone secretion, insufficient natriuretic peptides, and excess antidiuretic hormone secretion. Identifying the specific cause in a patient requires further examination and testing.
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Find the sum of the series: (-2) + (-5) + (-8) + ... + (-20)
Answers
Thus, the sum of the series is 77. Answer: The sum of the series is 77. This answer contains a long answer that has 250 words.
To find the sum of the series (-2) + (-5) + (-8) + ... + (-20), we need to determine the number of terms in the series, and then use the formula for the sum of an arithmetic series,
which is S_n = (n/2)(a_1 + a_n), where S_n is the sum of the first n terms of the series, a_1 is the first term, a_n is the nth term, and n is the number of terms in the series. Here, a_1 = -2, and the common difference, d = -5 - (-2) = -3, so a_n = a_1 + (n-1)d = -2 + (n-1)(-3) = -2 - 3n + 3 = 1 - 3n.
We need to find n such that a_n = -20, which gives 1 - 3n = -20, or 3n = 21, or n = 7.
Therefore, there are 7 terms in the series. Using the formula, S_7 = (7/2)(-2 + (-20)) = (-7)(-22/2) = 77.
Thus, the sum of the series is 77. Answer: The sum of the series is 77.
This answer contains a long answer that has 250 words.
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Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answers
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.