Answer:
Eva swims faster than Sarah
Step-by-step explanation:
At first, they swim at different rates, but if you compare the last two (17/425 and 20/520) Eva swam the fastest.
Answer:
Sarah swims faster
Step-by-step explanation:
To get the answer, divide the time by the distance. 17/425 is greater than 20/520, so sarah swims faster
Question 9 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 Il only
O Tonly
O all three distributions
O I and III
II only- the distribution of the sample data.
A sampling distribution is a probability distribution of a statistic generated from more samples taken from a specific population.
The sampling distribution shows how the sample means will vary in repeated samples.
The mean is the most common kind of sampling distribution. This kind concentrates on figuring out the mean average of all sample means, which results in the sampling distribution.
A sampling distribution mean is obtained by adding together the average of each sample and reflecting the characteristics of the entire population.
As the number of samples increases, the standard deviation falls, resulting in a normal frequency distribution or a bell-shaped graph.
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A sampling distribution is a probability distribution of a statistic generated from more samples taken from a specific population.
The sampling distribution shows how the sample means will vary in repeated samples.
The mean is the most common kind of sampling distribution. This kind concentrates on figuring out the mean average of all sample means, which results in the sampling distribution.
if x+y=9, and 8(x+3y)= 120, what is the value of x-y
Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
Helppp pls pls I’ll mark brainlest for the first comment
Answer:
D. \(\frac{10}{12}\)
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The fraction shown on the number line is 3/5. This fraction isn't equal to 10/12.
A union is the graph of a compound inequality containing or, the solution is a solution of either inequality, but never both.
O True
O False
Answer:
True
Step-by-step explanation:
A union is the graph of a compound inequality that contains "or," meaning the solution is a solution of either inequality, but not necessarily both. The union represents all values that satisfy at least one of the inequalities in the compound inequality. The solution is shown as the shaded region on the graph that represents the union of the solutions of the individual inequalities.
7. DETAILS LARLINALG8 4.5.009. Explain why S is not a basis for R2. S = {(-4, 7)} S is linearly dependent. O s does not span R2. O S is linearly dependent and does not span R2.
To determine whether S = {(-4, 7)} is a basis for R2, we need to consider two criteria: linear independence and spanning. Answer : S is not a basis for R2.
Linear Independence: A set of vectors is linearly independent if none of the vectors in the set can be written as a linear combination of the others. In this case, since S only contains one vector (-4, 7), it is not possible to form a linear combination using another vector from S. Therefore, S is linearly independent.
Spanning: A set of vectors spans R2 if every vector in R2 can be expressed as a linear combination of the vectors in the set. In this case, since S only contains one vector (-4, 7), it cannot span R2 because it is not possible to represent every vector in R2 using just one vector.
Therefore, based on the given information, we can conclude that S = {(-4, 7)} is linearly dependent and does not span R2. Hence, S is not a basis for R2.
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A chef removes a roasted turkey from an oven when its temperature reaches 185°F places it in a room where the temperature is 75°F. If the temperature of the turkey is 145 °F half an hour after being removed from the oven, its temperature 45 minutes after being removed from the oven is: °F The turkey will cool to 100°F how many hours after being removed from the oven? hours
The temperature of the turkey 45 minutes after being removed from the oven is approximately 138.6°F.
It will take approximately 2.32 hours (or 2 hours and 19 minutes) for the turkey to cool from 185°F to 100°F.
The rate at which the turkey cools can be modeled using Newton's Law of Cooling, which states that the rate of cooling of an object is proportional to the difference between its temperature and the temperature of its surroundings. Using this law, we can write:
dT/dt = -k(T - Ts)
where dT/dt is the rate of change of temperature with respect to time, k is a constant of proportionality, T is the temperature of the turkey at time t, and Ts is the temperature of the surroundings (75°F in this case).
Solving this differential equation gives:
T(t) = Ts + (T0 - Ts)e^(-kt)
where T0 is the initial temperature of the turkey (185°F in this case).
Using the fact that the temperature of the turkey is 145°F half an hour after being removed from the oven, we can solve for k:
145 = 75 + (185 - 75)e^(-k*0.5)
which gives k = 0.0736.
Using this value of k, we can solve for the temperature of the turkey at 45 minutes (or 0.75 hours) after being removed from the oven:
T(0.75) = 75 + (185 - 75)e^(-0.0736*0.75) = 138.6°F.
To find the time it takes for the turkey to cool from 185°F to 100°F, we can solve for t when T(t) = 100:
100 = 75 + (185 - 75)e^(-0.0736*t)
which gives t ≈ 2.32 hours.
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Locate points A and B in the coordinate plane below. Use the Pythagorean Theorem to find the straight-line distance from each point to the origin.
Which point is close to the origin and by how much?
the options for the first one is "A" or "B" and the options for the second one is " more than" or "less than". (please ignore my chosen answer, I was just guessing.)
The coordinates of points A and B are (-4, 5) and (2, 6) respectively. Point B is close to the origin by 0.1 unit
How to locate points A and B in the coordinate plane?The positions or coordinates of points A and B are (-4, 5) and (2, 6) respectively
In order to use the Pythagorean Theorem to find the straight-line distance from each point to the origin (Consider the attached image):
Distance for point A
d = √((-4)²+5²)
d = √41 = 6.40 units
Distance for point A
d = √(2²+6²)
d = √40 = 6.32 units
To find which point is close to the origin and by how much:
The distance of B is less, so point B is close to the origin
Difference of distance = 6.40 - 6.32 = 0.08 ≈ 0.1 unit
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thankssss plzzz helpp
A farmer is selling apples from his orchard. He uses the equation c = 1.6pto calculate the total cost, c, for every pound of apples, p.
a.) How much does a customer pay for 1 pound of apples?
b.) How much would 8.5 pounds of apples cost?
c.) A customer spent $5.20. How many pounds of apples did they purchase?
Answer:
A) $1.60
B) $13.60
C) 3 1/4 lb
Step-by-step explanation:
What we know:
A farmer uses the equation c = 1.6p to calculate the total cost, c, for p pounds of apples.
A) 1 pound would cost $1.60, as that is the unit rate.
B) 8.5 * 1.6
8.5 + (0.6 * 8.5)
8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.
C) 5.2/1.6
52/16
13/4 = 3 1/4 lbs of apple for $5.20
Ariana earned $425 babysitting over the summer. She put 40% of what she earned into her savings account.
How much money did Ariana put into her savings account?
Answer:
$170
Step-by-step explanation:
$425 x 0,4 = $170
Answer:
the person above me was right its 170$
Step-by-step explanation:
Answer this - wrong answers will be reported/deleted
Answer:
58.03 ft
Step-by-step explanation:
To solve for the total circumference of circle F, we can create a ratio of section angle measure to circumference. We know that these two attributes of a circle have a linear relationship because the formula for arc length (\(S = 2\pi r \cdot \frac{\theta}{360\°}\)) relies proportionately on the radius and angle measure of the section.
angle measure : circumference
290° : 46.75 ft
We can multiply this ratio by \(\frac{360}{290}\) to get the corresponding circumference for a 360° section (which is the entire circle).
\(\frac{360}{290}(290\° : 46.75 \text{ ft})\)
\(= 360\° : \boxed{58.03 \text{ ft}}\)
Therefore, the circumference of circle F is approximately 58.03 ft.
Several properties are used to evaluate this expression. identify the property used in each step. 21 + (19 + 36): (21 + 19) + 36:
21 + (36 + 0 + 19) Equals 76.
What is the property of addition?A final result is obtained by adding two or more integers together. Commutative, associative, distributive, and additive identity are the four major characteristics of b. b means that even if the order changes, the addition result will remain the same.
Equation to be used: 21 + (36 + 0 + 19)
The identity property of addition states that a + 0 = a.21 + (36 + 0 + 19) = 21 + (36 + 19)Using the commutative property of addition, a + b equals a + b.21 + (36 + 19) Equals 21 + (19 + 36)By using the associative property of addition, the formula is: a + (b + c) = a + b + c.21 + (19 + 36) Equals (21 + 19) + 36Put two more numbers within the bracket now.(21 + 19) + 36 = 40 + 36A + B Equals C, any number, using the closure property of addition.40 + 36 = 76Hence 21 + (36 + 0 + 19) Equals 76.To know more about property of addition visit:
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I understand that the you are looking for is :
Several properties are used to evaluate this expression. Identify the property used in each step.
21 + (36 + 0 + 19)
21 + (36 + 19):
21 + (19 + 36):
(21 + 19) + 36:
40 + 36
76
PLEASE HURRY 45 POINTS!!! which function is best represented by the graph A. g(x)=(1/3) B. g(x)=6(3) C. g(x)=6-(1/3) D. g(x)=6-(3)
Answer:
it is d. i had that question and i got it right
Step-by-step explanation:
The given line in the graph is represented by the equation g(x) = 6 - (3). The correct option is D.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph the straight line is represented by the function g(x) = 6 - ( 3 ). The graph of the line is matched with the answer below.
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Help!!! Please!!! PRE ALG FIND x
Answer:
the answer is B. I hope this helps
Carrie is comparing the growth of plants under natural and artificial light sources.
Part A
Use the measures of center from the box plots to make an inference about the data.
Part B
Use the box plots to make an inference using the variability of the data.
Answer:
Median :
P = 2 ; Q = 3.5
Variability :
P = 1.5 ; Q = 1.5
Step-by-step explanation:
The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;
For Group P:
Median = 2 inches
For Group Q :
Median = 3.5 inches
To infer the variability :
We calculate the interquartile range (IQR) :
IQR = Q3 - Q1
Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot
Locate QI and Q3
Group P:
IQR = Q3 - Q1 = 3 - 1.5 = 1.5
Group Q :
IQR = Q3 - Q1 = 4.5 - 3 = 1.5
Given that one of the roots of the equation
\( {2x}^{2} +(k + 2)x + k =0 \)
is 2,find the value of k
k = - 4 is one of the roots of the in quadratic equation .
What are some examples of quadratic equations?
In mathematics, a quadratic equation is one with degree 2, which means that its maximum exponent is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero. All of these are examples of quadratic equations: y = x2 + 3x + 1.Substituting for x in the equation
2x² + ( k + 2 )x + k = 0
2 ( 2 )² + ( k + 2 ) 2 + k = 0
8 + 2k + 4 + k = 0
3k + 12 = 0
3k = -12
k = - 12/3
k = - 4
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Consider these two statements:
p: A square is a quadrilateral
q: A hexagon is a parallelogram
Select all of the true statements:
A) ~p
B) ~q
C) p ^ q
D) p ⌄ q
E) ~p ⌄ q
F) p ^ ~q
Thank you if you help
The true logic statements are listed as follows:
B) ~q.
D) p ⌄ q.
F) p ^ ~q.
What are the true statements?A square is a quadrilateral, as it has four sides, hence the statement p is true.
Then, the negative of statement p is false, and option a is false.
The or operation with statement p is always going to be true, as the or operation is true when at least one of the operators is true, hence option D is true.
An hexagon is not a parallelogram, hence statement q is false. Thus, option B is true, as the negative of a false statement is positive.
The and operation is true when all the operators are true, hence option F is true, as statements p and ~q are both true. Statement C is false as only one of the statements is true.
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Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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if you use uv and see only one spot on your tlc plate, you can be sure your product is pure.
while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).
Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.
While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:
The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.
The impurity may be present in such a small amount that it is not visible on the TLC plate.
The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.
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CASLAN CASLANis my awnser is 73.97$ what's the 6.25% tax I have to convert 6.25 to a decimalis my awnser is 73.97$ what's the 6.25% tax I have to convert 6.25 to a decimal
Answer:
ABCD is a curve, made up by line segments. AB=2cm, BC=4cm, CD=3cm.
Can AD be:
1) 1cm
2) 4cm
3) 10cm
Step-by-step explanation:
A andwich hop offer andwiche with five type of bread, 7 type of meat and 3 type of cheee. How many way can omeone order a andwich if they are out of one of the bread type?
Answer: 84
Step-by-step explanation:
What happened to your s!
4*7*3 = 84
Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
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Find the area of the triangle.
A drawing of a triangle with base of 12 and a half feet and height of 4 feet.
Question Answer O A True O B False Question Answer O A True O B False Question Answer OA O B True False Using logarithmic differentiation we obtain that the derivative of the function y = x2x² satisfies the equation y = 4x log x + 2x. y Using logarithmic differentiation we obtain that the derivative of the function (1+x²)2 (1 + sin x)² y= 1-x² satisfies the equation 4x 2cos x 2x -= + y 1 + x² 1 + sin x 1-x² Given two complex numbers z=3-1 and w=3+ the product z2w equals 30-10%. Y'
In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.
In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.
In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².
In the third question, the product z²w is calculated correctly as 30-10%.
It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.
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Identify the non-permissible values of B for the trignometric
expression
cscx/cosx-1
Select the most appropriate set of values from the list
below
The non-permissible values of B for the trigonometric expression cscx/cosx - 1 are: π/2 + πk for k ∈ Z.
Trigonometric functions, also known as circular functions, are functions of an angle that relate ratios of different sides of a right triangle.
There are six main trigonometric functions: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
Non-permissible values are the values of the variables that result in a denominator of zero or an even-indexed root of a negative number.
The reason behind this is that division by zero or an even-indexed root of a negative number is not defined mathematically, resulting in an error in the function.
The given expression is:
cscx/cosx - 1
We can re-write this expression as:
cscx / (cosx - 1)
To find the non-permissible values of B for the trigonometric expression cscx/cosx - 1,
we need to find the values of x that make the denominator (cosx - 1) zero.
Therefore, cosx - 1 = 0cosx = 1x = 2πk for k ∈ Z
This means that the denominator is equal to zero when x = 2πk for k ∈ Z.
These are the non-permissible values for the expression.
We have to exclude these values from the domain of the function to avoid division by zero.
Therefore, the non-permissible values of B are π/2 + πk for k ∈ Z.
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7. Write an equation for the line in slope-
intercept form.
Answer:y=-1/2x-3
Step-by-step explanation:
solve attachment EASY POINTS
Answer:
Same as the other guy
Step-by-step explanation:
H=(...-2,-10,1,2,...3what type of set is H
A : empty set
B: finite set
C: infinity set
D: universal set
Answer: Universal set
Step-by-step explanation:
A universal set is usually represented by U and it is set that has all the elements of a related sets.
For example, if there are two sets which are X and Y. Let's say X = {1,2,3} and Y = {1,a,b,c}, therefore, the universal set will be U = {1,2,3,a,b,c}.
In the above scenario, H(...-2,-10,1,2,...3) is a Universal set.
2) Justify with proper reasoning: (i) The multiplicative inverse of (-4)^(-2) is 4^2. Pls answer fast...
Answer:
Below.
Step-by-step explanation:
\(-4^{-2}\) = \(\frac{1}{-16}\)
The multiplicative inverse is basically the opposite reciprocal.
In this case, it is 16
\(16 = 4^2\)
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2
Answer:
x^2 + 7/2 + 15 is the answer.
Step-by-step explanation:
Make the number that is equal to x be on the side of the x, then multiply those to values.
x = -6
x= 5/2
(x + 6)*(x - 5/2)
Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.
\(x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15\)
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