Answer:
s=6
Step-by-step explanation:
first you distribute the 8
8s+24=72
Then subtract 24 from both sides
8s=48
then divide both sides by 8 to get
s=6
In a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another (T/F)?
It is true that in a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another.
ANOVA, which represents the analysis of variance, is a statistical test used to examine the distinction between the means of more than two groups.
One independent variable is used in a one-way ANOVA, while two independent variables are used in a two-way ANOVA.
In a one-way ANOVA scenario, the overall F value must be statistically significant for more than two of the means to be significantly different.
thus we can say that the given statement is true.
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Am animal shelter provides a bowl with 1. 25 liters of water for 3 cats. About how much water will be left after the cats drink their average daily amount of water?
There will be approximately 0.05 liters of water left in the bowl after the cats drink their average daily amount of water.
To determine the amount of water left after the cats drink their average daily amount, we need to know the average daily water consumption per cat. Let's assume that each cat drinks 0.4 liters of water per day.
The total water consumption for the three cats would be 3 cats * 0.4 liters/cat = 1.2 liters.
Since the initial amount of water in the bowl is 1.25 liters, we can subtract the total water consumption from the initial amount to find the remaining water:
Remaining water = Initial amount - Total water consumption
Remaining water = 1.25 liters - 1.2 liters
Remaining water = 0.05 liters
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5 tins of soup have a total weight of 1100 grams.
3 tins of soup and 2 packets of soup have a total weight of 710 grams.
Work out the total weight of 4 tins of soup and 3 packets of soup.
Answer:
955
Step-by-step explanation:
1100=5tins (t)
t= 220
3t+2packets=710
3(220)+2p=710
p=25
4t+3p=?
4(220)+3(25)= 955
Answer:955
Step-by-step explanation:
1100=5 tins
1100 ÷5=220
one tin=220
3 tins +2 packets=710
3(220)+2 packets=710
660+2 packets=710
710-660=50
2 packets= 50
50÷2=25
one packet=25
4(220)+3(25)=?
880+75=955
answer is 955 grams
what step cadence is used during the ymca 3-minute step test?
This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm.
The step cadence used during the YMCA 3-minute step test is a set of three stepping cycles per each 20-second period. This means that the participant takes a total of nine steps within each 20-second period. In other words, the participant steps up and down on the platform at a rate of approximately 24 steps per minute. It is important to maintain this consistent step cadence throughout the entire test in order to get an accurate measure of cardiovascular fitness. Overall, the YMCA 3-minute step test is a simple and effective way to assess an individual's aerobic fitness level.
The YMCA 3-minute step test utilizes a specific step cadence to measure an individual's cardiovascular fitness. The answer is that during the test, a cadence of 96 beats per minute (BPM) is used. This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm. Upon completion of the test, the participant's heart rate is measured for a minute to determine their fitness level. The test results can be compared to established norms to gauge overall cardiovascular health and endurance.
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A soccer field has a perimeter of 326 metres. Its area is 6370 square metres. What are the dimensions of the field?
Answer:
Step-by-step explanation:
chiều dài:x,x>0
chiều rộ:y
\(\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.\)
\(\left \{ {{x+y=163} \atop {xy=6370}} \right.\)
\(\left \{ {{y=163-x} \atop {xy=6370}} \right.\)
\(\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.\)
\(\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\\)
\(\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.\)
\(\left \{ {{y=65} \atop {x=98}} \right.\)
You decide to save up for a big trip and deposit 1491 in a special vacation account today. If your account earns 5.07% annually, how much will you have available to spend in 6 years? Round to two decimal places (Ex. $0,000.00)
You will have approximately $1929.29 available to spend in 6 years.
To calculate the future value of your deposit after 6 years, we can use the formula for compound interest:
Future Value = Present Value * (1 + Interest Rate)^Time
Plugging in the values:
Present Value (PV) = $1491
Interest Rate = 5.07% = 0.0507
Time = 6 years
Future Value = $1491 * (1 + 0.0507)^6
Calculating the expression:
Future Value = $1491 * (1.0507)^6
Future Value ≈ $1929.29
Therefore, you will have approximately $1929.29 available to spend in 6 years.
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If lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when lisa maximizes her utility she will buy?
If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
What is marginal utility?In economics, utility is defined as the satisfaction or benefit gained from using a product. The marginal utility of a good or service describes how much pleasure or satisfaction consumers gain as a result of a one-unit increase or decrease in consumption. There are three different kinds of marginal utility. They have a marginal utility of either positive, negative, or zero. For example, if Lisa spends her money on veggie burgers and pints of soy milk, and the price of the veggie burgers is three times the price of the soy milk, Lisa will maximize her utility by purchasing both goods until the marginal utility of the veggie burgers is three times the marginal utility of the soy milk.Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
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1) Solve. -3x – 4 = 5
x=-3
Hope this helped!
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answer:
\(\sqrt{y}\) ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · \(\sqrt{y}\) · 1/z²
= \(\sqrt{y}\) / xz²
ariana also has 33 other treats: barkies, poopsicles, and k9nies. she wants to distribute one piece of each among her 66 dogs. there are no restrictions on which or how many treats each dog may receive. in how many ways this can be done?
To distribute 33 treat to her 6 dogs Ariana has 1947792 ways
Since the order of distribution doesn't matter we will apply concepts of combination.
combination = nCr =n!/(r!(n-r!)
where n is the total number of objects
r is the number of chosen objects from the total.
Here, 33C6 =36!/6!.30!
= 36x35x34x33x32x31/6x5x4x3x2
1947792
Therefore, Ariana can distribute 33 treats between her 6 dogs in 1947792 ways.
Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!
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since 15 percent of a university comprises asian-american students, a sample for a study was chosen in such way that it, too, consisted of 15 percent asian-americans. this kind of sample would be an example of a .
The kind of sample that consists of the same percentage of Asian-American students as the population it is taken from is called a representative sample.
A representative sample is a subset of a population that accurately reflects the characteristics and proportions of the entire population. In this case, the population consists of 15% Asian-American students. By selecting a sample that also consists of 15% Asian-American students, it can be considered a representative sample.
A representative sample is important in statistical research because it allows for generalizations and inferences to be made about the population based on the characteristics observed in the sample. Ensuring that the sample reflects the population proportions, it increases the likelihood of obtaining accurate and reliable results.
Choosing a representative sample is crucial to minimize bias and ensure the validity of the study's findings. It helps to avoid underrepresentation or overrepresentation of certain groups within the population, which can lead to misleading or inaccurate conclusions. Therefore, selecting a sample that consists of the same percentage of Asian-American students as the population is an example of a representative sample.
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ye dat's all there is
Answer: It $7.80 per hour
Hi hi
Step-by-step explanation:
Question 2 (1 point)
According to Hooke's Law, the force needed to stretch a spring varies directly to the amount the spring is stretched 150 pounds of force
stretches a spring five inches, how much will the spring be stretched by a force of 180 pounds?
inches
Blank 1:
===========================================
Explanation:
x = amount (in inches) the spring is stretched
y = force applied (in pounds)
y = kx for some constant k, since x and y vary directly
---------------
Plug in the given info that x = 5 and y = 150 pair up together
Solve for k
150 = k*5
150/5 = k
k = 30
The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.
---------------
Plug in y = 180 to solve for x
y = 30x
180 = 30x
30x = 180
x = 180/30
x = 6
The spring will be stretched 6 inches if you apply a force of 180 pounds.
I will mark branliest please
1.Classify each triangle with the given side lengths as Acute, Obtuse, or Right
9, 12, 15
Acute
Obtuse
Right
2. Classify each triangle with the given side lengths as Acute, Obtuse, or Right
5, 10, 9
Acute
Obtuse
Right
3.Classify each triangle with the given side lengths as Acute, Obtuse, or Right
6, 7, 11
Acute
Right
Obtuse
Answer:
1.) Right
2.)Acute
3.) obtuse
Step-by-step explanation:
Answer:
1.right
2.acute
3.obtuse
If the InterQuartile Range (IQR) of a Normal distribution is 10.8, what is the standard deviation of the distribution
The standard deviation of the distribution is 8.06
Concept:
Inter Quartile Range:-
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Standard deviation
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out
Given,
The Inter Quartile Range of a normal distribution, IQR = 10.8
Standard deviation of the distribution, σ = \(\frac{IQR}{1.34}\)
∴ σ = \(\frac{10.8}{1.34} = 8.06\)
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E O
What is the common ratio between successive terms in the sequence?
2, 4, 8, -16, 32, 64, ...
O-2
06
O 6
O2
Answer:
-2
Step-by-step explanation:
-16/2= 8
8/-16=-2
not sure though
The common ratio of the geometric progression is r = 2
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A = 2, 4, 8, 16, 32, 64, ...
Now , the common ratio r = second term / first term
On simplifying , we get
r = 4 / 2
r = 2
Hence , the common term of GP is r = 2
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In need of help PLEASE!!!!
Answer:
a bc I think it's right idk really
Step-by-step explanation:
jdlaifnshfjtjtjfjdjsjdurbxusnejskshduanwufnrudjdjfkgkgjdjfjgktjvinehdovndintivnsjvolebvinebfirbxjbwhgoenchbtijbegijrgcihegcinrhd
Use the function below to find F(2)
F(x)=1/3•4^x
Answer
The answer is 16/3
Step-by-step-explain
F(x) = ⅓ • 4ˣ, F(2)
F(2) = ⅓ • 4²
F(2) = ⅓ • 16
F(2) = 16/3
Thus, The answer is 16/3
-TheUnknownScientist
Answer:
Step-by-step explanation:
16/3
I hope it's helpful
Answer this! :) Please
pleaseeeeeeeeeeeeeee help whats da volume
Answer:
if you want the volume of the outer cube with the other cube in it, it would be 48. if you want it without the cube its 120. the inside cube is 72.
Step-by-step explanation:
Answer:
48 mm³
Step-by-step explanation:
Outer prism:
5 mm by 4 mm by 6 mm
V = LWH = 5 × 4 × 6 mm³ = 120 mm³
Inner prism:
4 mm by 3 mm by 6 mm
V = LWH = 4 × 3 × 6 mm³ = 72 mm³
Difference:
120 mm³ - 72 mm³ = 48 mm³
Suppose that each semester at a particular community college angelo has to pay $1312 in tuition and $85 in fees. if angelo has x semesters remaining, write an algebraic expression representing the total amount he will need for tuition. if angelo has x semesters remaining, write an algebraic expression representing the total amount he will need for the fees. if angelo has x semesters remaining, write an algebraic expression representing the total amount of money he will spend for tuition and fees.
Given that Angelo has x semesters remaining, the algebraic expressions which represent (1) the total amount he will need for tuition, (2) the total amount he will need for the fees, and (3) the total amount of money he will spend for tuition and fees, are 1312x, 85x, and 1397x, respectively.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
If Angelo has to pay $1312 in tuition each semester, and he has x semesters remaining, then the algebraic expression to represent the total amount he will need for tuition can be written as:
"1312x"
where x is the number of semesters remaining
If Angelo has to pay $85 in fees each semester, and he has x semesters remaining, then the algebraic expression to represent the total amount he will need for the fees can be written as:
"85x"
where x is the number of semesters remaining
Combining the two algebraic expression will represent the total amount of money he will spend for tuition and fees and can be written as:
1312x + 85x
(1312 + 85) x
"1397x"
where x is the number of semesters remaining
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What is the solution to this linear system? Enter a value in each box to create an ordered pair. ill put brianly if u answer asap
Answer:
(-1,5)
Step-by-step explanation:
The only soft-drink flavours available at a party were cola and
raspberry.
In total, twenty six soft-drinks were consumed.
9 guests had one raspberry drink only, 13 guests had one cola
drink only and the remaining guests had one drink of each flavour.
a) How many guests were there?
b)
What is the probability that a randomly chosen party guest had:
(i) a cola drink
(ii)
a raspberry drink
(iii) both a raspberry and cola drink?
The number of guests that were at the party is 26. This was illustrated in the probability.
How to compute the probability?From the information, it was stated that twenty six soft-drinks were consumed. Therefore, it implies that there were 26 people.
From the information, 9 guests had raspberry and 13 had cola while the remaining was shared equally. Therefore, the raspberry consumed will be 11 and 15 cola were drank.
The probability that a randomly chosen party guest had a cola drink will be:
= 15/26
The probability that a randomly chosen party guest had a raspberry drink will be:
= 11/26
The probability of the people who had both a raspberry and cola drink will be 0 since everyone had different drinks.
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PLEASE HELP ASAP
The file is attached
The trigonometric function for an angle \(\dfrac{\pi}{4}\) is
\(tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}\)
The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-
\(tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}\)
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric function for an angle \(\dfrac{\pi}{4}\) is
\(tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}\)
The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-
\(tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}\)
Therefore the trigonometric function for an angle \(\dfrac{\pi}{4}\) is
\(tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}\)
The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-
\(tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}\)
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-4/4 + 160% + 1/5=???
Answer:
0.8
Step-by-step explanation:
-4/4 + 160% + 1/5 =
= -1 + 1.6 + 0.2
= 0.8
Find the area and perimeter of the figure on the coordinate system below.
If anyone could help please do.
Answer:
P= 2L+2W+2H
P=2(3)+2(3)+2(3)
=18ft
i dont know the answer to the question pls help
Answer:
£36
Step-by-step explanation:
1400-320=1080/45=24
so it is more than 10
10bag=10% discount
10% of 1080=108*2=216-45*4=36
Answer:
$27
Step-by-step explanation:
We know that the employees have a total of $1400
We also know that they spent $320 on a coffee machine
So, we start by subtracting 320 from 1400
1400 - 320 = 1080
So they have $1080 to spend on as many bean bags as possible
We also know they will have a 10% discount because they are able to buy more than 10
We know they can buy more than 10 because 10 would only cost $450 + discount, and they have over $1000
So, we subtract 10% from 45
45 x 0.10 = 4.5
45 - 4.5 = 40.5
So, with the discount, each bean bag costs $40.50
So, we just divide 40.5 by 1080
1080 ÷ 40.5 = 26.6667
Since you can't buy a fraction of a bean bag, they are able to buy a total of 26 bean bags
26 x 40.5 = 1053
1080 - 1053 = 27
They have $27 left over
If f(x) is differentiable for the closed interval [−3, 2] such that f(−3) = 4 and f(2) = 4, then there exists a value c, −3 < c < 2 such that
f(c) = 0
f '(c) = 0
f (c) = 5
f '(c) = 5
from the Mean Value Theorem that the opposite is also true. In particular, f(x) is constant over that interval if f′(x)=0 f ′ (x) = 0.
The slope of the function is 0.
f'(c) =0.
What does the mean value theorem states?The Mean Value Theorem states that there exists a point c in the interval (a,b) such that f'(c) equals the function's average rate of change over [a,b] if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). from the Mean Value Theorem that the opposite is also true. In particular, f(x) is constant over that interval if f′(x)=0 f ′ (x) = 0 for all x in some interval I. This result might seem intuitively obvious, but it has significant unintended consequences that we briefly discuss.If f(x) is differentiable for the closed interval [−3, 2].
f(−3) = 4 and f(2) = 4.
because in order for the function to have two values of x where the function value is the same, it must have a point in the function where it is a max or min. Because it has a max or min, at that point, the slope of the function is 0, meaning that f'(x) = 0.
states that at that point that is a max or min, the slope of the function is 0.
f'(c) =0.
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PLEASE HELP
I finished the first one but this website called edmentum /PLATO cant explain very well.
Step-by-step explanation:
It may be your last point
\(y = 2x + 6\)
\(y = 2(2) + 6 = 10 \: not \: 8\)
You have the point (2,8) when it should be (1,8)
Keep me updated
no links will mark BRAINLIEST
Answer:
1 = natural numbers
2 = 1
3 = 0
4 = -7/5
5 = NO
6 = 1 and -1
7 = 1/5
8 = x