Answer:
option D; 20/3 OR 6 2/3
Step-by-step explanation:
CONVERT THE HOURS INTO MINUTES;
3/4 × 60 = 45 mins
1hour = 60 mins
45 mins = 5 miles
60 mins = ??
cross multiply;
60 by 5 ÷ 45 to get 20/3.
if we select 3 young women at random, what is the probability that their average height is shorter than / at most 63 inches (that is, they are at most 63 inches tall, on average)?
The probability that the average height of 3 young women is at most 63 inches is approximately 12.38%. Here option A is the correct answer.
To calculate the probability that the average height of 3 young women is at most 63 inches, we need to use the central limit theorem, which states that the distribution of the sample means of a sufficiently large sample from any population with a finite mean and variance will be approximately normally distributed.
Assuming the heights of young women follow a normal distribution, with a mean of μ and a standard deviation of σ, we can calculate the probability using the standard normal distribution table or a statistical software package.
First, we need to calculate the mean and standard deviation of the sample mean. The mean of the sample mean is equal to the population mean, μ, which we assume to be 65 inches. The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size, which is 3 in this case. Assuming a standard deviation of 3 inches, the standard deviation of the sample mean is 3 / sqrt(3) = 1.73 inches.
Next, we need to calculate the z-score for a sample mean of 63 inches:
z = (63 - 65) / 1.73 = -1.16
Using the standard normal distribution table, we can find the probability that a z-score is less than or equal to -1.16. The probability is 0.1238, or approximately 12.38%.
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Complete question:
If we select 3 young women at random, what is the probability that their average height is shorter than / at most 63 inches (that is, they are at most 63 inches tall, on average)?
A - 12.38
B - 13.38
C - 15.48
D - 17.40
a bag contains 15 red marbles, 15 white beads, 20 green beads, and 25 blue beads. What is the probability of randomly drawing a blue bead?
Answer:
1/3 or 33%
Step-by-step explanation:
15 + 15 + 20 +25 is equal to 75
25/75 is 1/3
Answer:
1 by 3
Step-by-step explanation:
15 + 15 + 20 + 25 = 75
so,
again,
25 divided by 75 is equal to 1 by 3Identify the x- and y- intercepts of the line: 6x−3y=24
. if you had an infinite supply of water and a 5 quart and 3 quart pail, how would you measure exactly 4 quarts?
to measure exactly 4 quarts well first fill the 3 quart pail 2 times and pour it into the 5 quart pail and remaining answer is below.
What size is a quart?1 US liquid quart is the same as 2 pints, 4 cups, and 32 ounces in terms of volume. It's vital to remember that a dry quart equals 4.6546 cups when converting any dry component.
Is a quart basically a liter?A liter contains 1.057 quarts, and a quart contains 0.946 liters. This is what? Because the measurements are so similar, you can treat liters and quarts the same for many conversions.
As we an infinite supply of water and a 5 quart and 3 quart pail, and we have to measure exactly 4 quarts
so, first we'll first fill the 3 quart pail and pour it into the pail of 5 quart.
now we'll again fill the 3 quart pail and pour it into the pail of 5 quart
this time the 5 quart pail will be filled before the 3 quart pail get completely empty.
at this time; 3 quart pail is containing the 1 quart in it. now pouring into the 3 quart pail and combining with the 3 quart, it will make 4 quarts after pouring into the 5 quart pail.
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I need help like right now!!
Triangle ABC has its vertices at the following coordinates:
A(2, 0) B(4,-1) C(1,-3)
Give the coordinates of the vertices of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Step-by-step explanation:
A(2,0)=A'(2,0)
B(4,-1)=B'(0,0)
C(1,-3)=C'(2,3)
Using translation concepts, the coordinates of the image of the triangle are given as follows:
A'(0,2), B'(1,4), C'(3, 1).
What is a translation?
A translation is represented by a difference in the graph of function , follows to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a 90° counterclockwise rotation about the origin is given as follows:
(x,y) -> (-y,x).
Hence the coordinates of the image of the triangle are given as follows:
A': (2,0) -> (0, 2).
B': (4,-1) -> (1,4).
C': (1, -3) -> (3, 1).
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Choose the congruence theorem that you would use to prove the triangles congruent.
AAS
SAS
ASA
SSS
Answer:
C) ASA
Step-by-step explanation:
From the diagram we can see:
The triangles have two congruent angles and one congruent side which is between those two angles.
It means the triangles are congruent by angle-side-angle or in short ASA theorem.
Correct answer choice is C
Geometry lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hecagon
A) The compound event will have a sample size of 25.
B) The new sample size will be 36.
Any event with many sample points is referred to as a compound event. Compound events are more complex than simple events. These incidents carry the risk of additional occurrences. The probability of every potential result of a compound event is one.
A compound event is one that comprises two or more simple occurrences. In contrast to complex events, which can have a range of diverse results, simple events can only have one outcome.
Given,
Number of buttons in a container = 5
Lucas picks one button, replaces it and then picks another.
A sample size of the compound event
n = 55
n = 25
Now, one more button is added to the container and in total there are 6 buttons. Lucas repeats the same process again and hence,
A sample size of the new compound event will be,
n = 66
n = 36
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The complete question is given below.
Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is ___ Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____
you wish to buy 10 pieces of fruit. there are (indistinguishable) bananas, apples, pears, and strawberries. how many ways are there to buy 10 pieces of fruit so that you buy at most 2 pieces with inedible cores (i.e., apples and pears).
The total number of ways to buy 10 pieces of fruit so that you buy at most 2 pieces with inedible cores is 137.
To determine the number of ways to buy 10 pieces of fruit so that you buy at most 2 pieces with inedible cores, we can use a combination of counting techniques.
First, we can consider the total number of ways to buy 10 pieces of fruit without any restrictions. This can be represented by the number of solutions to the equation:
x1 + x2 + x3 + x4 = 10
where x1 represents the number of bananas, x2 represents the number of apples, x3 represents the number of pears, and x4 represents the number of strawberries. Using the stars and bars method, we can find that there are C(13,3) = 286 ways to do this.
Next, we need to subtract the number of ways to buy 10 pieces of fruit where we buy 3 or more pieces with inedible cores.
We can do this by considering the number of ways to buy 3, 4, or 5 apples and pears, and then finding the number of ways to distribute the remaining pieces of fruit. Using the same method as before, we can find that there are C(12,2) + C(11,2) + C(10,2) = 221 ways to do this.
Finally, we can subtract the number of ways to buy 10 pieces of fruit where we buy 3 or more pieces with inedible cores twice, since we double-counted these cases in the previous step. Using the inclusion-exclusion principle, we can find that there are 2 * C(9,2) = 72 ways to do this.
Therefore, the total number of ways to buy 10 pieces of fruit so that you buy at most 2 pieces with inedible cores is 286 - 221 + 72 = 137.
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In a litter of puppies, if there 2 black, 6 yellow and 1 brown, what is the ratio of yellow puppies to brown puppies?
This is because there are 6 yellow and 1 brown. We write those two numbers, in that exact order. The values are separated by a colon. Another way to write the ratio is to write "6 to 1" in that order.
let k(x)=f(x)g(x)h(x). if f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is k′(−2)?
The value of k'(-2) = 41
Using the product rule, k′(−2)=f(−2)g′(−2)h(−2)+f(−2)g(−2)h′(−2)+f′(−2)g(−2)h(−2). Substituting the given values, we get k′(−2)=(-5)(8)(3)+(-5)(-7)(-10)+(9)(-7)(3)= -120+350-189= 41.
The product rule states that the derivative of the product of two or more functions is the sum of the product of the first function and the derivative of the second function with the product of the second function and the derivative of the first function.
Using this rule, we can find the derivative of k(x) with respect to x. We are given the values of f(−2), f′(−2), g(−2), g′(−2), h(−2), and h′(−2). Substituting these values in the product rule, we can calculate k′(−2). Therefore, the derivative of the function k(x) at x=-2 is equal to 41.
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Find the original price of a pair of gloves that is $16 after a 20% discount.
Step-by-step explanation:
16 = 20% to get to 80% we need to times by 4 so it adds up to 100%
64=80%
the orginal price was 64 dollars
solve for y
A. 115°
B. 108°
C. 90°
D. 130°
Answer:
Step-by-step explanation:
so you have got every angle AND THEN YOU HAVE TO TAKE IT AWAY BY 540 DEGREES BECAUSE ALL THE ANGLES IN A PENTAGON ADDS UP TO 540
Answer: A.115
Good luck !
Ut = 4uxx, 0 < x < 2,t > 0 u(0,t) = 1, u(2,t) = 2, u(x,0) = sin(17x) — 4 sin(Tt x/2) u = =
The solution of the given equation is\(u(x,t) = ∑(-1)n+1 4/(nπ) sin(nπ/4) sin(nπx / 2) exp(-n^2 π^2 t / 4)\)
The given equation is Ut = 4uxx, 0 < x < 2,t > 0u(0,t) = 1, u(2,t) = 2, u(x,0) = sin(17x) — 4 sin(Tt x/2)
The general form of the solution is given as:
\(u(x,t) = B0 + B1 x + ∑[Bn cos(nπx / L) + Cn sin(nπx / L)] exp(-n^2 π^2 t / L^2)\)
Where,\(Bn = (2/L) ∫f(x) cos(nπx / L) dx; from x = 0 to L . . . . . (1)\)
\(Cn = (2/L) ∫f(x) sin(nπx / L) dx; from x = 0 to L . . . . . (2)\)
\(L = 2Bn\)
First we need to find the values of B0 and B1.
Given initial conditions are\(u(x,0) = sin(17x) — 4 sin(Tt x/2)\)
We can write \(u(x,0) = B0 + B1 x + ∑[Bn cos(nπx / L) + Cn sin(nπx / L)]\)
From the given function, comparing the coefficients of the Fourier series, we have
\(B0 = 0, B1 = 0, Bn = (2/L) ∫f(x) cos(nπx / L) dx; from x = 0 to L = 0; for n = 1, 2, 3, .......\)
\(Cn = (2/L) ∫f(x) sin(nπx / L) dx; from x = 0 to L = (-1)n+1 4/(nπ)sin(nπ/4); for n = 1, 2, 3, .......L = 2.\)
Using the values of Bn and Cn, we can write the solution as \(u(x,t) = ∑(-1)n+1 4/(nπ) sin(nπ/4) sin(nπx / 2) exp(-n^2 π^2 t / 4)\)
Therefore, the solution of the given equation is\(u(x,t) = ∑(-1)n+1 4/(nπ) sin(nπ/4) sin(nπx / 2) exp(-n^2 π^2 t / 4)\)
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write the equation of the graph
let yn = sqrt(n 1) - sqrt(n) for all n show that yn converge find their limits
The sequence yn = √(n+1) - √n converges, and its limit can be found by simplifying the expression and applying the limit rules. The limit of yn as n approaches infinity is 0.
To find the limit of yn as n approaches infinity, we can simplify the expression. Let's start by rationalizing the numerator:
yn = (√(n+1) - √n) (√(n+1) + √n) / (√(n+1) + √n)
Simplifying the numerator, we get:
yn = [(n+1) - n] / (√(n+1) + √n)
= 1 / (√(n+1) + √n)
As n approaches infinity, both √(n+1) and √n also approach infinity. Therefore, the denominator (√(n+1) + √n) also approaches infinity. In the numerator, the constant 1 remains constant.
Using the limit rules, we can simplify the expression further:
lim(n→∞) yn = lim(n→∞) [1 / (√(n+1) + √n)]
= 1 / (∞ + ∞)
= 1 / ∞
= 0
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Given the expression 3(4²) + 4 + 16-9, which operation would you perform first?
A. 3x4
B. 4²
C. 4+ 16
D.
16-9
Answer: 4²
Step-by-step explanation:
There is some rule but just remember:
1. parenthesis
2. exponents
3. division/multiplication
4. subtraction/addition
10b-7b=12 what does b=
Answer:
Step-by-step explanation:
10b-7b=12
3b=12
b=12/3
b=4
Answer:
4
To find:
b
Step-by-step explanation:
10b-7b=12
3b=12
b=12/3
b=4
hope it helps u
and the Aegean Sea is located at
On the map above, the Black Sea is located at
A Letter A Letter C
B. Letter C Letter B
C Letter A Letter B
D. Letter B Letter A
Answer:
The answer to your question is C.
Step-by-step explanation:
Have a nice day :)
according to the logic of inferential statistics, before an independent variable has been administered, means from each group in the study are assumed to be:
In inferential statistics, before administering an independent variable, means from each group in the study are assumed to be equal or similar.
In inferential statistics, researchers often compare groups to determine whether there are significant differences between them. Before administering an independent variable, which is a variable that is manipulated by the researcher, it is generally assumed that the means of each group are equal or similar. This assumption allows for a fair and unbiased comparison between groups. By assuming equal means, researchers can then analyze the data using statistical tests to determine if there are significant differences between the groups after administering the independent variable.
The assumption of equal means serves as a starting point for hypothesis testing and helps researchers assess the impact of the independent variable on the dependent variable. If there were already significant differences in means before administering the independent variable, it would be difficult to attribute any observed differences solely to the independent variable. Therefore, assuming equal means before the manipulation of the independent variable ensures that any subsequent differences can be more confidently attributed to the variable being tested. This assumption allows researchers to draw valid conclusions and make informed decisions based on the results of their statistical analyses.
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What is the answer to |60| ____|-60|
Answer:
=
Step-by-step explanation:
Equal too, you are finding the absolute value of both of them which means getting rid of any signs that is attached to them. 60 = 60
Answer:
|60| = |-60|
Step-by-step explanation:
| | means absolute value
The absolute value of any number is that number but in its positive form
So the absolute value of 60 is 60
The absolute value of -60 is positive 60
60 is equal to 60 therefore |60| = |-60|
I don’t know how to do this, explanation too please
Find angle x
Answer:
Step-by-step explanation:
You need to know trigonometry for this.\
You can't solve this without a scientific calculator.
TOA means Tan x = Opposite/Adjacent or in this case, 5.1/4.2
tan x = 5.1/4.2
arctant(tanx) = arctan(5.1/4.2)
x = arctan(5.1/4.2)
≈ 50.5°
arctan x is also known as tan inverse x
Geometry please help!
7. Kite
x = _ y = 146
2
For the following Arithmetic Sequence, find the explicit form, and then find a 40
11, 1,-9, -19, ...
a40 =
an=
Answer:
see explanation
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then
\(a_{n}\) = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula
Using the explicit formula to find a₄₀ , then
a₄₀ = 21 - 10(40) = 21 - 400 = - 379
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .?
Answer:
D. f(1) = 4, f(n) = –1/2f(n – 1) for n > 1
Step-by-step explanation:
We assume your sequence is supposed to be ...
4, -2, 1, -1/2, 1/4, ...
This has no common difference, but it has a common ratio of -1/2. That is, the first term is 4, and each successive term is -1/2 times the previous one. The function is described by the recursive formula ...
f(1) = 4;
f(n) = -1/2·f(n-1)
Find the length QT plz helpppppppppppp
Answer:
I haven't written full languages hope u get it
a bakery sold 123 chocolate cupcakes in a day, which was 41% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?
Answer:
300
Step-by-step explanation:
took the test adn this is right now PLEASE MARK BRAINLIEST
Answer:
they sold 300 cupcakes
Step-by-step explanation:
please mark brainliest
2. True or false: f(x) is a function.
Answer:
True
Step-by-step explanation:
the function is y = x/5
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
Converse of the Alternate Exterior Angles Theorem.
Step-by-step explanation:
The alternate exterior angles theorem explains that "if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent." Judging from the fact that the problem is including <1 and <8, we can safely assume that it is including this theorem since both of said angles are on the exteriors of the pair of parallel lines. Not to mention that this principle also effectively proves that both lines are parallel to each other, thus proving this sentence true.
15 of the 25 employees at Carlo’s Car Repair wear contact lenses. What percent of the employees wear contact lenses?
Answer:
60%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100 .
You have a 30-sided die and a con, what is the probability of rolling a single digit number and heads? With work shown this question will give you 55 points.
The possible outcomes for rolling a 30-sided die are numbers 1 through 30. Therefore, the probability of rolling a single digit number is zero.First, let's break down the problem into two parts: rolling a single-digit number on the 30-sided die, and flipping heads on the coin.
1. Rolling a single-digit number on a 30-sided die:
There are 9 single-digit numbers (1 to 9) on the die, and there are a total of 30 sides. So, the probability of rolling a single-digit number is 9/30, which can be simplified to 3/10.
2. Flipping heads on the coin:
A coin has 2 sides (heads and tails), and we are looking for the probability of getting heads, which is 1 side out of 2. So, the probability of flipping heads is 1/2.
Now, to find the probability of both events happening together (rolling a single-digit number and flipping heads), we need to multiply the probabilities:
(3/10) * (1/2) = 3/20
So, the probability of rolling a single-digit number and flipping heads is 3/20 or 0.15 (15%).
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