A research wants to examine the grams of fat in milk. They separate the milk into the groups: Whole Milk, 2% Fat, and Low Fat. Then randomly select cartons from each of the groups to measure grams of fat. This is an example of ____________ sampling.
if there was a random selection of cartons from each of the groups to measure grams of fat. This is an example of stratified sampling
What is stratified sampling?Stratified sampling can be defined as a method of sampling that involves division of a population into smaller groups or items, these are called strata.
This groups or strata are then arranged or organized based on the shared characteristics or attributes of the members in the group of the given population.
Stratification is the process of classifying the population into groups.
Features of stratified sampling are;
It is a precise metric It provides for a better representation of the overall populationIt can be time-consuming, and potentially expensiveFrom the information given, we can see that it is an example of stratified sampling.
Thus, if there was a random selection of cartons from each of the groups to measure grams of fat. This is an example of stratified sampling
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UHH HELP ME PLS AND I WILL MARK BRAINLIEST
Answer:
First option: 3619.1 cubic centimetres
Step-by-step explanation:
Use this formula for figure out the volume of a cone:
\(V=\pi r^2\frac{h}{3}\)
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So:
π × 144 × 8 ≈ 3619.1
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Have a good day :)
The total cost, y, of renting a party venue is a function of the number of people , , attending the party. The owner of the party venue charges a fixed cost of $850 plus \$10.75 a person. The maximum charge is $2355. What is the greatest value in the domain for this situation?
Answer:
I dunno if this is the right answer but I tried my best
the answer is 140
??????
Find the coordinates of the circumcenter of the triangle with the given vertices.
A(0, 0), B(0, 8), C(6, 0)
x =3 and y = 4 , these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.
What is perpendicular in triangle?
The sides of a triangle are divided into two equal portions by the perpendicular, which is parallel to the sides drawn from the opposing vertices.
The circumcenter of a triangle is the location where the three perpendicular bisectors of the triangle meet.
A(0, 0), B(0, 8), C(6, 0)
Circumcenter , P(x,y)
AP = BP = CP
AP² = BP²
(x - 0 )² + ( y - 8 )² = ( x- 0)² + ( y - 0 )²
x² + y² + 64 - 16y = x² + y²
64 - 16y = 0
16y = 64
y = 4
BP = CP
BP² = CP²
(x - 0)² + ( y- 0 )² = ( x- 6)² + ( y - 0)²
x² + y² = x² 36 - 12x + y²
36 - 12x = 0
12x = 36
x = 3
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HELP PLZ
Does the Graph Represent A Function? Why Or Why Not?
Answer:
C
Step-by-step explanation:
Answer:
hi its c because its not a traight line
Step-by-step explanation:
John's birthday is this saturday, in buying materials for the party Vicki notices that plates come in packs of 12, cups come in packs of 10, and utensils come in packs of 8 sets. If Vicki wants to have no left overs, how many packs of utensils should she buy?
Answer:
Step-by-step explanation:
So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.
Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.
Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.
We can see that both numbers have 120 in common, so we shall use that.
We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.
We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.
And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.
So, since the question is asking for utensils only, we should say that Vicki buys 15 packs of utensils.
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please be accurate
What are the slope and y-intercept of the line 5x+2y=−22? To earn full credit, show your work
Answer:
Slope: -5/2
Y-Intercept: 0,-11
Step-by-step explanation:
In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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please I need help asap
I need to know what 62.5 x 80.4 is in order to pass a test
Answer: 5025
Step-by-step explanation:
2x +1=-7 + 2x
how many solutions does this equation have ?
Step-by-step explanation:
this question is wrong
36638338
Help!!! Thank you
Math xl
Answer:
A= 648 :)
Step-by-step explanation:
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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A town has a population of 3000 and grows at 2.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 4600?
It will take the town 21 years 4 months to reach 4600 in population
What is rate?
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
initial population = 3000
population increase every year = 2.5% of 3000
which is 2.5/100 x 3000 = 75
let the time taken to reach 4600 be d
increment for d number of years = 75d
Total population after d years is 75d + 3000
so 75d + 3000 = 4600
75d = 4600 - 3000
75d = 1600
d = 1600/75
d = 21.33 years which is 21 years 4 months
In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600
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John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $13.50. They spend a total of $17.25
Find the cost of one large drink.
Answer:
Answer is each large drink $1.25
Answer: It costs $1.25 for one large drink
Step-by-step explanation: 17.25-13.50=3.75 3.75/3=1.25
what is 2/3i-3 simplified?
As US treasury has a semi-annual coupon of 5% and matures in 20
years. The yield to maturity is 7%. Assume USD 10 million as the
face or maturity value.
Calculate the present value of the
coupons
Calc
To calculate the present value of the coupons, we need to determine the cash flows from the semi-annual coupons and discount them back to the present value using the yield to maturity.
The coupon payment is 5% of the face value, which is USD 10 million. Therefore, the coupon payment per period is (0.05/2) * USD 10 million = USD 250,000.
The bond matures in 20 years, so the total number of coupon periods is 20 * 2 = 40.
To calculate the present value of the coupons, we discount each coupon payment using the yield to maturity of 7% and sum them up.
\(PV = \frac{{\text{{Coupon1}}}}{{(1 + r)^1}} + \frac{{\text{{Coupon2}}}}{{(1 + r)^2}} + \ldots + \frac{{\text{{Coupon40}}}}{{(1 + r)^{40}}}\)
Where r is the yield to maturity, which is 7%.
Using the present value formula, we can calculate the present value of the coupons:
\(PV = \left(\frac{{USD 250,000}}{{(1 + \frac{{0.07}}{{2}})^1}}\right) + \left(\frac{{USD 250,000}}{{(1 + \frac{{0.07}}{{2}})^2}}\right) + \ldots + \left(\frac{{USD 250,000}}{{(1 + \frac{{0.07}}{{2}})^{40}}}\right)\)
Calculating this sum will give us the present value of the coupons.
Note: The calculation requires the use of a financial calculator or spreadsheet software to handle the complex summation.
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The range of the set of the values 7, 3, 6, 9 and 5 =
Answer:
6
Step-by-step explanation:
Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:
9 - 3 = 6
Find the points on the curve
y = cos x/2+sinx
where the tangent line is horizontal.
The points on the curve y = cos(x/2) + sin(x) where the tangent line is horizontal occur at x = (4n + 1)π, where n is an integer.
To find the points on the curve where the tangent line is horizontal, we need to determine when the derivative dy/dx is equal to zero. Taking the derivative of y = cos(x/2) + sin(x) with respect to x, we get:
dy/dx = -sin(x/2)/2 + cos(x)
Setting dy/dx equal to zero and simplifying, we have:
-sin(x/2)/2 + cos(x) = 0
sin(x/2) = 2cos(x)
Using the identity sin^2(x/2) + cos^2(x/2) = 1, we can rewrite the equation as:
2cos(x) + 2cos(x/2)cos(x/2) = 0
2cos(x) + 2cos^2(x/2) - 1 = 0
2cos^2(x/2) + 2cos(x) - 1 = 0
Solving this equation for cos(x/2), we find two solutions: cos(x/2) = 1/2 and cos(x/2) = -1. The first solution corresponds to the points where the tangent line is horizontal. This occurs when cos(x/2) = 1/2, which implies x/2 = (2nπ ± π/3), where n is an integer.
Therefore, the points on the curve where the tangent line is horizontal are given by x = (4n + 1)π, where n is an integer.
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Continuity correction x = fewer than 8 (doesn't include 8)
The main answer, incorporating the continuity correction, is P(X < 8.5), where X represents a random variable.
How to use continuity correction method?To calculate the probability of X being fewer than 8 (excluding 8) with continuity correction, we can use the normal approximation to the binomial distribution.
Assuming X follows a binomial distribution, we can approximate it with a normal distribution by adjusting the boundaries of the interval. In this case, since we want fewer than 8 (excluding 8), we use the continuity correction and consider the interval as (X < 8.5).
We can then calculate the probability using the cumulative distribution function (CDF) of the normal distribution for X = 8.5. The resulting probability represents the likelihood of observing fewer than 8 (excluding 8) occurrences.
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Charmaine made 8 stacks with her coins.
Every stack had 6 coins.
How many coins did she have altogether?
If Charmaine made 8 stacks with her coins and every stack had 6 coins, then the number of coins that she has all together is 48 coins
The number of coins that she has made = 8 stacks
The number of coins in each stack = 6 coins
To find the number of coins that she has, we have to multiply the number of stack and number of coins in each stack
Then the number of coins that she has all together = The number of coins that she has made × The number of coins in each stack
Substitute the values in the equation
= 8 × 6
= 48 coins
Hence, if Charmaine made 8 stacks with her coins and every stack had 6 coins, then the number of coins that she has all together is 48 coins
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PLEASE HELP !!!!
does this graph represent a function? why or why not?
a. no, because it fails the vertical line test.
b. yes, because it is a curved line.
c. no, because it is not a straight line.
d. yes, because it passed the vertical line test.
Answer:
Yes, it is a function
Step-by-step explanation:
If you were to draw a straight vertical line through it, it would only hit the line once, and therefore is a function. Curved lines can still be functions.
So the correct answer is d) yes, because it passed the vertical line test.
Hope this helps! Best of luck <3
What is 60% markup on $18.25?
Compute the total cost of an item you purchased for $18.25, but you now want to resell it for 60% more than what you've paid for it. What is the new cost?
Answer:29.2
Step-by-step explanation:The equation used to add a markup percent to a product is the cost plus the markup percentage multiplied by the cost.
Answer:
$29.20
Step-by-step explanation:
The original price of an item is 100%, so a 60% mark up means that the price will now be 160% of the original price.
160% = 160/100 = 1.6
⇒ 160% of $18.25 = 1.6 × 18.25 = $29.20
In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
The statistics z is -1.878 and the p value is 0.0302
Given,
Number of random sample selected, n = 6967
Number of surveys returned, x = 1331
Estimated proportion of return rate;
p = 1331/6967 = 0.192
Significance level, ∝ = 0.01
z would represent the statistic
We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:
Null hypothesis, p₀ ≥ 0.2
Alternative hypothesis, p₀ < 0.2
The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)
That is,
z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878
Using the alternative hypothesis and the following probability, we can now get the p value:
p value = p(z < - 1.878) = 0.0302
We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.
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Please help, I don’t know what I’m supposed to do
Montraie is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 13 miles.If Montraie drives at an average speed of 30 miles per hour during the entire trip, how much time, in hours and minutes, will it take him to drive from City X to City Y?
The total time it will take Montraie to drive from City X to City Y is:
5 hours and 12 minutes
The scale drawing, it would be difficult to determine the distance between City X and City Y.
But since we have the scale drawing, we can use it to find the actual distance between the two cities.
The scale drawing, we see that the distance between City X and City Y is 3 inches.
Using the given scale of 1/4 inch = 13 miles, we can set up a proportion to find the actual distance:
1/4 inch / 13 miles = 3 inches / x miles
Cross-multiplying, we get:
1/4 inch × x miles = 13 miles × 3 inches
Simplifying, we get:
x = 156 miles
So the distance between City X and City Y is 156 miles.
To find the time it will take Montraie to drive from City X to City Y, we can use the formula:
time = distance / speed
Plugging in the values we know, we get:
time = 156 miles / 30 miles per hour
Simplifying, we get:
time = 5.2 hours
To convert this to hours and minutes, we can separate the whole number and the decimal part:
5 hours + 0.2 hours
To convert the decimal part to minutes, we can multiply it by 60:
0.2 hours × 60 minutes per hour = 12 minutes
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solve for y if x - 4y = 70 and if x = y + 1
Learning Task 1: in your answer sheet, use the figure at the right to ideas the
following
1. Center
2. Chords
D
3. Red
G
4. Diameter
H
5. Tangent Lines
6. Secant Lines
7. Central Angles
8. Semi-Circle
9. Intercepted arcs
10. Inscribed Angles
A circle is a set of points
The answer is as follows: center M, chords DC,HA, AD and so on
What distinguishes a circle?A circle is a two-dimensional shape that may be created by drawing a curve that extends outward from the center uniformly. Circumference, radius, diameter, arc length and degree, sector areas, inscribed angles, chords, tangents, and semicircles are just a few of the many parts that make up a circle.
1. Center = •M
2. Chords = DC,HA, AD
3. Radii = DM,FM,AM
4. Diameter = DA
5. Tangent Lines = GE
6. Secant Lines = DC
7. Central Angles = <FMA,<FMD
8. Semi-Circle = DEA , FAD
9. Intercepted arcs = FD , FA,FC
10. Inscribed Angles = <ADC , <HAD
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3. Nine more than the quotient of a number and 4 is 12.
Answer: x = 12
Step-by-step explanation:
9 + (x/4) = 12
x/4 = 3
x = 12
calculate the angular area of the hst’s field of view in square degrees.
The angular area of the HST's field of view is 25 square degrees.
The field of view is the extent of the sky that the Hubble Space Telescope (HST) can observe at a given time. It is usually measured in degrees.
To calculate the angular area, we can use the formula for the area of a circle:
Area = π * (angular size/2)^2
Where π is a mathematical constant approximately equal to 3.14, and the angular size is in degrees.
Let's say the angular size of the HST's field of view is 10 degrees.
First, we divide the angular size by 2:
10 degrees / 2 = 5 degrees
Next, we square the result:
5 degrees * 5 degrees = 25 square degrees
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