It is also called as Random Sample experiment.
What is random sample experiment?Random assignment is a technique used in experimental research to divide individuals from your sample into several groups using randomness.With this approach, each sample participant has a known or equal chance of being assigned to either the experimental group or the control group.In an experiment, random assignment and random selection are both possible. Imagine that 500 people are randomly chosen from a population to take part in your study.A subset of a statistical population called a simple random sample is one in which each member has an equal chance of being chosen. A straightforward random sample is intended to be an objective depiction of a group.Hence, it is an random experiment.
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If y = 3x2 - 9, what is its inverse?
Answer:
f^-1(x) = √((y +9)/3)
Step-by-step explanation:
You want the inverse function of y = 3x² -9.
Inverse functionThe given relation will only have an inverse function if its domain is restricted to values x ≥ 0.
We can find that inverse function by interchanging the variables x and y, then solving for y:
x = 3y² -9
x +9 = 3y² . . . . . . . add 9
(x +9)/3 = y² . . . . . . divide by 3
y = √((x+9)/3) . . . . . take the square root
The inverse function is f^-1(x) = √((x +9)/3).
population etiologic fraction is a measure of the proportion of the disease rate in a population attributable to the exposure of interest. this measure of effect is influenced by:
This measure of effect is influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also the prevalence of exposure in the population.
As stated, population etiology fraction is a measure of the disease rate in a population attributable to the exposure of interest. This is a measure that can be influenced only by the exposure caused due to a particular disease. Hence it can be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also with the prevalent of the exposure in the population.
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At the beginning of the game, April had a core of −150 point. April played for another 20 minute, and her final core wa −35
The expression that represents the change in April's score from the start to the end of the game is 355 - 150 = 205.
April played a game. The score at the beginning of the game was 150 points. After twenty minutes, her score was 355 points. We have to determine the change in her score from the beginning of the game to the end of the game.
Let the change in the score be represented by the variable "C". The change in her score is calculated below. The change in the score is the difference between the final and the initial score of April.
C = 355 - 150
C = 205
Hence, the change in her score from the beginning of the game to the end of the game is 205 points.
The complete question is given below.
At the beginning of the game, April had a score of 150 points. April played for another 20 minutes, and her final score was 355. Write and then evaluate a subtraction expression to determine the change of her score from the beginning of the game to the end of the game.
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SOMEONE HELP PLEASE
⇒The volume is given and the height is give. In the equation [tex]V=\pi r^{2} h[/tex]plug in the known value V which is equal to [tex](160\pi )m^{3}[/tex] and h which is equal to 8m and solve for r which is the radius
⇒[tex]160\pi =\pi r^{2} *(8)\\\frac{160\pi}{\pi } =\frac{\pi r^{2} *(8)}{\pi } \\160=8r^{2} \\8r^{2} -160=0\\8(r^{2} -20)=0\\\frac{8(r^{2} -20)}{8} =\frac{0}{8} \\r^{2} -20=0\\(r+\sqrt{20} )(r-\sqrt{20} )=0\\r+\sqrt{20} =0\\or\\r-\sqrt{20} =0\\\\r=2\sqrt{5} \\or\\r= -2\sqrt{5}[/tex]
⇒Note radius is a distance therefore it cannot be negative meaning radius r is equal to [tex]\sqrt{20} =2\sqrt{5}[/tex]m
expressed in decimal is 4.5m
On a typing test, Warren has 8 errors for every 2 minutes he spends typing. How many minutes has Warren typed if he has 64 errors?
Answer:16 minutes
Step-by-step explanation:
64 errors / 8 errors = 8
8 x 2 minutes = 16 minutes
This shows a linear function.
x y
0 15
1 25
2 35
3 45
4 55
Which equation represents the table?
A.
y = 10x + 15
B.
y = 15x + 10
C.
y = 10x
D.
y = 15x
Answer:
Option A: y = 10x + 15Step-by-step explanation:
Let's find the equation in the form of y=mx+b that fits the data. m is the slope and b is the y-intercept (the value of y when x=0). Slope, m, the the Rise/Run of the line. It can be found by taking any two points from the table. Let's choose (0,15) and (2,35), although any two will work.
x y
0 15
1 25
2 35
3 45
4 55
(0,15) (2,35)
The Rise is the change in y: (35 - 15) = 20.
The Run is the change in x for the same points: (2 - 0) = 2
The slope is the Rise/Run = (20/2) or 10.
The equation has the form y = 10x + b.
Let's find b. Just enter any of the points in the above equation and solve for b. I'll choose (3,45).
y = 10x + b
45 = 10*(3) + b
b = 45 - 30
b = 15
[Note: since b is the value of y when x equals zero, we really didn't need to calculate b as we just did. There is a data point already that tells us the value of y when x = 0: (0,15)]
The equation is y = 10x + 15Option A: y = 10x + 15a shelf in the metro department store contains 80 colored ink cartridges for a popular ink-jet printer. seven of the cartridges are defective. (a) if a customer selects 2 cartridges at random from the shelf, what is the probability that both are defective? (round your answer to five decimal places.)
The probability that both are defective when a customer selects 2 cartridges at random from the shelf will be 0.00766.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
The probability of choosing defective cartridge=7/80
So, the probability of choosing 2 defective cartridge=(7/80)²
=0.00765625
=0.00766
When a customer randomly chooses two cartridges from the shelf, the likelihood that both are flawed is 0.00766.
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I need help with these problems in Geometry (Similar Triangles)
Looking at the triangles, the values of x in the figures are
14. x = 1715. x = 3What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
figure in 14)
The solution for x
8 / (x + 5) = (x - 9) / 21
21 * 8 = (x + 5)(x - 9)
168 = x^2 - 4x - 45
x^2 - 4x - 213
x = 16.73 or -12.73
using the positive value
x = 17
figure in 15)
The solution for x
(x + 3) / 15 = 4 / (3x + 1)
cross multiplying
(x + 3)(3x + 1) = 15 * 4
3x^2 + 10x + 3 = 60
3x^2 + 10x - 57 = 0
x = 3 OR -6.333
taking the positive value
x = 3
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PLEASE HELP!!!!!!! A warehouse store sells 5.5-ounce cans of tuna in packages of 5. A package of 5 cans costs $10.45. The store also sells 4.5-ounce cans of the same tuna in packages of 8. A package of 8 cans costs $12.96. The store sells 3.5-ounce cans in packages of 4 cans for $4.76. Which package is the best buy? find the one with the smallest unit rate!!!
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
A discount store sells 5.5 - ounce jars of fish in bundles of 5. A bundle of 5 jars costs $10.45. Then the unit rate is given as,
⇒ ($10.45 x 5) / (5.5 x 5 x 5)
⇒ $0.38 per ounce
The store likewise sells 4.5-ounce jars of similar fish in bundles of 8. A bundle of 8 jars costs $12.96. Then the unit rate is given as,
⇒ ($12.96 x 8) / (4.5 x 8 x 8)
⇒ $0.36 per ounce
The store sells 3.5 - ounce jars in bundles of 4 jars for $4.76. Then the unit rate is given as,
⇒ ($4.76) / (3.5 x 4)
⇒ $0.34 per ounce
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
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Fahima buys
2 packets of bread rolls costing £1.50 for each packet
1 bottle of ketchup costing £1.60
3 packets of sausages
Fahima pays with a £10 note
she gets 30p change
fahmia works out that one packet of sausages costs £2.30
is fahima right?
you must show how you get you answer
WORTH 15 POINTS!
what is the cycle? please list in order.
tysm
The cycle in order is D, E, F, B, C then A.
Define life cycle.
An organism goes through a series of shape changes in a biological life cycle before reverting to its original state. The notion contrasts with those of life history, development, and ontogeny in that it emphasizes renewal. Life cycles are common to all animals and plants.
The stages, which frequently entail beginning as a seed, egg, or live birth, then growing up and reproducing, are best shown visually using diagrams. Life cycles keep repeating themselves.
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Quick help would be appreciated : )
The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67
What is inverse variation?Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.
Example: If a varies inversely as b
This can be represented as;
a ∝ 1/b
Then,
ab = k
Where k is the proportionality constant
From the information given, we have that;
The number of kilometers = xThe liters of fuel = yx ∝ 1/ y
Then,
xy = k
Substitute the values
476 (17) = k
k = 8092
If x = 1428 and k = 8092
Let's determine the value of y
y = k/x
y = 8092/1428
y = 5. 67 liters
Hence, the value is 5. 67 liters
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- 6 000 frs for 3 years at 4% p.a.
- 2 000 frs for 2 years 3 months at 3% p.a.
Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
Amount A = P(1+rt)
6000 = p(1+4*3)
6000 = p13
p = 6000/13
p = 461.5
Amount A = P(1+9/2*3)
2000 = P*27/2
P = 2000*2/27
P = 148.1
Therefore Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
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Choose the equation that represents the line that passes through the point (6, -3) and has a slope of. 1/2
y-2x+6
y-1x-6
y=2x-3
y=x+3
Answer:
The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.
Step-by-step explanation:
Let's use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). We are given the slope, (1/2), so let's put that into the equation:
y = (1/2)x + b
It is the value we choose for b that will make the line pass through point (6,-3). We can determine that value by entering the given point in the equation and then solving for b:
y = (1/2)x + b
-3 = (1/2)*(6) + b for point (6,-3)
-3 = 3 + b
b = -6
The full equation is thus y = (1/2)x + 6
See the attached graph.
===
The `list of options doesn't have an equation that matches this conclusion. The first two aren't even equations. Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:
Original New
y-2x+6 y=2x+6
y-1x-6 y=1x-6
y=2x-3 y=2x-3
y=x+3 y=x+3
The slopes are either +1 or +2. None have the required slope of (1/2)
3x-y=6 2x+3y=4 elimination method
Answer:
Step-by-step explanation:
my answer is attached in the photo below
Allan i meauring hi dining room table to make a tablecloth. The table i 0. 45 meter longer than it i wide. If it i 1. 06 meter wide,how long i it?
The length of the table is 1.51 meters.
Allan is measuring his dining room table to make a tablecloth. The table is 0.45 meter longer than it is wide. The width of the table is 1.06 meter. We need to find out the length of the table.
Let the length of the table be represented by the variable "L". In the context of a mathematical problem or experiment, a variable is a quantity that may vary. The length of the table is the sum of the width of the table and the difference between the two quantities.
L = 1.06 + 0.45
L = 1.51
Hence, the length of the table is 1.51 meters.
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Please Help
Takayla looked at a scale drawing of a piece of land she was interested in buying. The drawing used a scale of 1 in ft. = 200 ft. She was told that the actual length of the land was 588 ft. How long should the land be on the map?
A. 3.33 in
B. 2.98 in
C. 2.90 in
D. 2.94 in
Need help lol for this
In the given rectangle, the values of f and g are the same that is 2√6cm.
What are rectangles?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.Therefore, a particular case of a square is a rectangle. To put it another way, a rectangle can also be a square (when all sides to are equal).So, the values of f and g are:
We know that APQD is a square and its area is 24 cm².Now, calculate the sides as follows:
Formula: A = s²
24 = s²s = √24s = √2×2×2×3s = 2√6So, each side of APQD measures 2√6cm.
So, DQ (g) = 2√6cmNow, we know that ABCD is a rectangle and we know that AD || CB and AD = CD.Then,
AD = CB = 2√6cmSo, CB (f) = 2√6cmTherefore, in the given rectangle, the values of f and g are the same that is 2√6cm.
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Amy borrows $130 to buy supplies for
her birthday party. She receives gifts and
money from her friends and family.
The total amount of money that Amy
receives is $250. How much money does
Amy have after she pays back what she
borrowed?
Answer:
120
Step-by-step explanation:
What is the slope of the line represented by the equation y = x-3?
03
-3
Answer:
slope of the line = 1
Step-by-step explanation:
i hope i helped
x3+3x2−10x+24
Factorice el polinomio
The expression x³ + 3x² - 10x + 24 cannot be factorized
How to factorize the polynomial?From the question, the polynomial is given as
x3+3x2−10x+24
Rewrite the polynomial properly
So, we have the following representation
x³ + 3x² - 10x + 24
Next, we represent the above expression on a graph
From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -5.569
This implies that the expression cannot be factored
So, we cannot further rewrite the given expression
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A town has a population of 2.25 x 104 and grows at a rate of 5.1% every year. Which
equation represents the town's population after 2 years
Answer:
P=(2.25 x 10^4)(1 + 0.051)(1 +0.051)
Step-by-step explanation:
The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.
In words, describe the graph of the proportional relationship.
A line from (0, 0) going through (22.25, 25) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (25, 22.25) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
Answer:
(B) A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
Step-by-step explanation:
You want a description of the graph showing the proportional dependency of cost on weight if a couple of (weight, cost) points are (25, 22.25) and (41, 36.49).
GraphThe independent variable is weight, so the x-axis will be labeled Weight (in pounds). The dependent variable is cost, so the y-axis will be labeled Cost (in dollars). The two given points can be plotted on the graph.
The description from the available answer choices is ...
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
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-8-(b-3)=13-4b i need an answer but not a fraction or decimal
Answer:b=2/3 if u don't need an answer that is not a fraction or decimal u can write 17. as a whole number.
Step-by-step explanation:
Julia reads 25% of a book in 100 minutes. How much time is needed to finish the book?
Answer:
400 minutes
Step-by-step explanation:
25 % *4 =100 %
100*4=400 minutes
2(x + 3) = x-4
What is the answer?
Answer:
x=-10
Step-by-step explanation:
2(x+3) = 2x+6
2x+6=x-4
2x+6-6=x-4-6
2x=x-10
2x-x=x-10-x
x=-10
Undergraduates
Graduates
Total
University Data
Receiving
Financial Aid
4222
1879
6101
Not Receiving Total
Financial Aid
3898
731
4629
8120
2610
10730
If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?
Write your answer as a percent, rounded to the nearest
whole number [?]%
Answer: 31%
Step-by-step explanation:
Out of the students that receive financial aid, 1879 out of the 6101 total students are graduates.
So, the probability is [tex]\frac{1879}{6101} \approx 31\%[/tex]
The half-life of a radioactive kind of americium is 7,380 years. How much will be left after
22,140 years, if you start with 188,320 grams of it?
grams
How does the graph of the function f(x) = x4 - 3 differ from the graph of its parent function?
Answer:
because there’s additional numbers to the equation
Step-by-step explanation:
it differs because of the -3 it’s -3 down
One-third of a number decreased by six equals eight. What is the number?
Answer:
42
Step-by-step explanation:
6+8=14x3=42
42/3=14-6=8