Answer:
[tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given that:
The number of observations is:
6, 10, 12
If we are to use a simple random sampling without replacement, then we will have:
(6,10) (6,12) (10,12)
Here;
the sample size n = 2
The population size N = 3
For (6,10) ; The sample mean = [tex]\dfrac{6+10}{2}[/tex]
= [tex]\dfrac{16}{2}[/tex]
= 8
For (6,12) ; The sample mean = [tex]\dfrac{6+12}{2}[/tex]
= [tex]\dfrac{18}{2}[/tex]
= 9
For (10, 12) ; The sample mean = [tex]\dfrac{10+12}{2}[/tex]
= [tex]\dfrac{22}{2}[/tex]
= 11
The probability distribution of sample mean(x) is:
X 8 9 11
P(X=x) [tex]\dfrac{1}{3}[/tex] [tex]\dfrac{1}{3}[/tex] [tex]\dfrac{1}{3}[/tex]
Thus, the probability that the sample mean is larger than 8 is:
P(X> 8) = P(X = 9) + P(X + 11)
P(X> 8) = [tex]\dfrac{1}{3}+\dfrac{1}{3}[/tex]
P(X > 8) = [tex]\dfrac{1+1}{3}[/tex]
P(X> 8) = [tex]\dfrac{2}{3}[/tex]
what number is 5 more than 1/3 of 18
Answer:11
Step-by-step explanation:
18*1/3+5=11
Answer:
11
Step-by-step explanation:
To find the number that is 5 more than [tex]\frac{1}{3}[/tex] of 18, we can start by evaluating what [tex]\frac{1}{3}[/tex] is:
[tex]\frac{1}{3}[/tex] of 18
⇒ [tex]\frac{1}{3} \times 18[/tex]
To multiply a whole number by a fraction, we can convert the whole number into a fraction by giving it a denominator of 1:
⇒ [tex]\frac{1}{3} \times \frac{18}{1}[/tex]
⇒ [tex]\frac{18}{3}[/tex] [This is the same as 18 ÷ 3]
⇒ [tex]\bf 6[/tex]
Now that we have the value of [tex]\frac{1}{3}[/tex] of 18, we can simply add to it to find the number that is 5 more than [tex]\frac{1}{3}[/tex] of 18:
[tex](\frac{1}{3} \times 18) + 5[/tex]
⇒ [tex]6 + 5[/tex]
⇒ [tex]\bf 11[/tex]
∴ The number we are looking for is 11.
Can you Simplify
5a - a
Answer:
4a is the answer.
Step-by-step explanation:
5a - a
= 4a
Answer:
It is 4a.
Step-by-step explanation:
=5a-a
=4a
Hope it helps you..
Which represent geometric sequences? A marathon runner runs half of a race, then runs half the distance left to the finish line, then runs half the distance that still remains, and so on. The first movie rental costs $2, and each additional rental costs $1. 10, 1, 0.1, 0.01, … –4, 20, –100, 500, … –1, 5, 11, 17, 23, …
Answer:
Step-by-step explanation:
1). Let the length of a marathon race = x miles
Marathon runner runs this race in the sequence formed as,
[tex]\frac{x}{2},\frac{x}{4},\frac{x}{8}.........[/tex]
Common ratio = [tex]\frac{\frac{x}{4}}{\frac{x}{2}}[/tex]
= [tex]\frac{x}{4}\times \frac{2}{x}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, it's a geometric sequence.
2). First movie rental cost = $2
Followed by each additional movie rental cost = $1
Therefore, rental of movies will be in the form of a linear equation,
y = 2x + 1
where x = number of movies
And y = Rental of movies
It's not a geometric sequence.
3). 10, 1, 0.1, 0.01.......
Ratio in 2nd and 1st term = [tex]\frac{1}{10}=0.1[/tex]
Ratio in 3rd and 2nd term = [tex]\frac{0.1}{1}=0.1[/tex]
Therefore, ratio in each term is common.
Sequence formed will be a geometric sequence.
4). [tex]\sum_{k=1}^{7}4(0.2)^{k-1}[/tex]
Expression represents a common ratio of 0.2,
Therefore, expression given will represent a geometric sequence.
5). -4, 20, -100, 500, ...........
Ratio of 2nd and 1st term = [tex]\frac{20}{-4}[/tex] = -5
Ratio of 3rd and 2nd term = [tex]\frac{-100}{20}[/tex]
= -5
There is a common ratio = -5
Therefore, it's a geometric sequence.
6). -1, 5, 11, 17.........
Ratio of 2nd and 1st term = [tex]\frac{5}{-1}=-5[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{11}{5}=2.2[/tex]
-5 ≠ 2.2
Therefore, sequence is not a geometric sequence.
7). -500, 100, -20, 4........
Ratio of 2nd and 1st term = [tex]\frac{100}{-500}=-\frac{1}{5}[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{-20}{100}=-\frac{1}{5}[/tex]
Answer:
I agree with person above
Step-by-step explanation:
Jessica runs 4 miles every 32 minutes. At thisrates, how many miles does she run in 48 minutes
Sarah has a ribbon that is 10 feet long. She has to cut it into 13 equal pieces. How long is each after being cut?
a)13/10 feet long
b) 10/130 feet long
c) 130/10 feet long
d)10/13
HELP ASAP PLEASE :))))
The graph below shows the height, in feet, over time,
in seconds, of a student's rocket. Use the graph to
answer the questions below. What was the maximum
height the rocket reached?
Answer:
65 ft
Step-by-step explanation:
in 7 second the rocket went 65 ft
Write
3√2 +6
√2-1
in the form a +b√√2, where a and b are integers.
Step-by-step explanation:
Solution
3(√2+2)
Alternative Form
≈ 10.24264
There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?
Answer:
3:2
Step-by-step explanation:
can also be written as 3/2 as a fraction!
Answer:
Blue paint to red paint - 3:2
Red paint to blue paint 2:3
Step-by-step explanation:
For every 3 cups of blue paint there is 2 cups of red paint
For every 2 cups of red paint there is 3 cups of blue paint
Fraction Mode: 3/2 or 2/3
Need ASAP if you don’t know the answer don’t answer
Answer:
11.5
Step-by-step explanation:
The GCF of 15 and 27 is _____. Numerical Answers Expected! Answer for Blank 1:
Answer:
the answer is 3 i just did the test and btw i like your profile pick anyways not the point just know the answer is 3
Step-by-step explanation:
PLS HELP!!
i need the answer my teacher is gonna make me fail!
Answer:
I think it c=4p
Step-by-step explanation:
I’m sorry if it wrong
Jon tried to shade only composite numbers on the hundred chart.
What mistake did Jon make?
hundred chart with 51, 65, and 84 shaded
Choose 1 answer:
(Choice A)
Jon is correct.
(Choice B)
51 is prime, not composite.
(Choice C)
65 is prime, not composite.
(Choice D)
84 is prime, not composite.
Answer:
choice A: john is correct
Answer:
51 is not compostite
Step-by-step explanation:
51 is an odd number and it is not able to be divided by other numbers so it is a prime number
Please need help on this one not even sure on this
Answer:
I‘m pretty sure its a special right triangle, basically a 30, 60, 90 triangle. I checked with the formula and it’s correct. So the angle W is wither a 60 Degree or 30 degree and I‘m on the side of 30 degrees.
So I’m pretty sure its 30 degree.
The formuda is the hypotenuse is 2x and the (a) (3 in this case) is x. The 5 would come out as the formula 3[tex]\sqrt{3}[/tex]. Now we know the sides, 3, 5 and 6 so we just plug it in and solve for the square root and it equals to ABOUT 5.
I’m not sure if I’m correct but I’m not confident.
Starting at 300 feet away, a car drives towards you. IT then passes you by at a constant speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds is given by the equation d=|300-48t|. AT what times is the car 60 feet from you?
The car is 60 feet away from you after___seconds and after _____ seconds.
Explain what 48t represents in the given equation.
The car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.
The 48*t part means the number of feet that the car moves in t seconds
At what times is the car at 60ft from you?We know that the absolute value equation that models the distance is:
d(t) = |300 - 48*t|
Then what we need to solve is d(t) = 60, this is:
d(t) = 60 = |300 - 48*t|
That absolute value equation can be represented in two forms:
300 - 48*t = 60
300 - 48*t = -60
Solving these two we get the two times at which the car is at 60ft from you.
-48*t = 60 - 300
t = (60 - 300)/(-48) = 5
t = (-60 - 300)/(-48) = 7.5
So the car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.
The 48*t part means the number of feet that the car moves in t seconds.
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The angle by which turns clockwise about point P to coincide with is
.
If from point P, a point D is drawn directly opposite point C so that D, P, and C are on the same straight line, the angle by which turns counterclockwise about point P to coincide with is
The angle by which turns counterclockwise about point P to coincide with is 180 degree angle
What is 180 degree angle?
The angle which forms a straight line is called the 180-degree angle. A 180-degree angle is a straight angle and it is exactly half of a revolution. The two arms of the angle which are making 180-degree are just opposite to each other from the common vertex.
The points D, P and C forms a straight line.
So, if it turns clockwise about Point P, it would make an angle of 180 degree.
as the point D and C are of equal lengths and opposite to each other, the angle from P turning clockwise makes 180 degree angle.
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Answer:
100
80
Step-by-step explanation:
plato
Order the following from lowest to highest. Lowest 0.44 25 38% 4% 0.3 720 Highest
Answer: 0.3, 38%, 4%, 0.44, 25, 720?
Step-by-step explanation: I don't really know what the 25 and 720 are in this case it's a little complicated if you specify it more I can give you a more accurate answer sorry if this didn't help but if it did I'm glad to be helpful :)
Subtract
3-9 = ???????
Answer:
-6
Step-by-step explanation:
come on
how many natural number n is the function 5n^2-9/2n+6 also a natural number?
The function (5n² - 9) / (n + 3) is a natural number for n = 3 and n = 15.
A function is given which is (5n² - 9) / (2n + 6).
We have to find the value of natural number n for which the given function is also natural number.
What do you mean by natural numbers ?
Natural numbers are known as the counting numbers which starts from 1 and end at infinity and also includes the whole numbers excluding 0.
As per the question ;
(5n² - 9) / (2n + 6) is a natural number for the value of n which is also a natural number.
Let's assume ;
(5n² - 9) / (2n + 6) = k
or
(5n² - 9) / (n + 3) = 2k
So , we can say that (5n² - 9) / (n + 3) is an even number.
We know that ;
Dividend ÷ Divisor = Quotient
If we divide (5n² - 9) by (n + 3) we will get ;
Quotient = 5n - 15
and
Remainder = 36
We can write it as ;
(5n² - 9) ÷ (n + 3) = (5n - 15) + {36 / (n+ 3)}
Here ;
36 / (n+ 3) is a natural number and n is a natural number.
Assume ;
n = 1 , 3 , 6 , 9 , 15 , 33
Let's check ;
for n = 1 ;
(5n - 15) + {36 / (n+ 3)} will be ;
= (5 - 15) + {36 / (1+ 3)}
= -1
for n = 3 ;
(5n - 15) + {36 / (n+ 3)} will be ;
= (15 - 15) + {36 / (3+ 3)}
= 6
for n = 6 ;
(5n - 15) + {36 / (n+ 3)} will be ;
= (30 - 15) + {36 / (6+ 3)}
= 19
for n = 9 ;
(5n - 15) + {36 / (n+ 3)} will be ;
= (45 - 15) + {36 / (9+ 3)}
= 33
for n = 15 ;
(5n - 15) + {36 / (n+ 3)} will be ;
= (75 - 15) + {36 / (15+ 3)}
= 62
for n = 33 ;
(5n - 15) + {36 / (n+ 3)} will be ;
= (165 - 15) + {36 / (33+ 3)}
= 151
So , we found that only for values of n = 3 and n = 15 , the value of (5n - 15) + {36 / (n+ 3)} is also an even number.
Thus , the function (5n² - 9) / (n + 3) is a natural number for n = 3 and n = 15.
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A store sold 550 video games during the month of December. If this made up 12.5% of its yearly video games scales, about how many video games did the store sell all year?
Answer:
The store sold 4,400 video games all year.
Step-by-step explanation:
Percentages
The x percent of a number N is calculated as:
[tex]\displaystyle P=\frac{x}{100}*N[/tex]
If the value of P is known, then:
[tex]\displaystyle N=\frac{100}{x}*P[/tex]
We know the store sold P=550 video games during the month of December and it corresponds to the x=12% of its yearly games sales (N).
Let's calculate N:
[tex]\displaystyle N=\frac{100}{12.5}*550[/tex]
N = 4,400
The store sold 4,400 video games all year.
Order from least to greatest
11. 357
2. 1.02
13. .80
4. .002
15. .05
16. .40
Answer:
0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357
Step-by-step explanation:
11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40
PLEASE HELP I WILL GIVE BRAINLEST JUST HELP ME.
Answer: 119°
∠C + 112° = 180°
⇔ ∠C = 180 - 112 = 68°
because ∠B is the outer angle of the triangle
=> ∠B = ∠C + 51° = 68° + 51° = 119°
=> ∠B = 119°
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
how you can use Triangle congruence to solve real-world problems? give 3 examples.
Answer:
1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.
2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.
3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.
2 What is the GCF of y2(y + 1) and y(y + 2)?
Answer:
the answer is Y
Step-by-step explanation:
The greatest common factor (GCF) of two polynomial expressions is y.
The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.
To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
The only factor that both polynomials have in common is y, so the GCF is y.
Here is the solution in more detail:
Factor each polynomial.
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
Find the factors that are common to both polynomials.
The only factor that both polynomials have in common is y.
The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.
The GCF is y.
Therefore, the GCF of y2(y + 1) and y(y + 2) is y.
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The gradient of the tangent of the curve y=2x^3 + ax^2 - x + 3 at the point x=1 is 3. Find the value of a.
Hello!
[tex]\large\boxed{a = -1}[/tex]
y = 2x³ + ax² - x + 3
Find the derivative using the power rule:
y' = 6x² + 2ax - 1
Substitute in the given slope and x value to solve for a:
3 = 6(1)² + 2(1)a - 1
3 = 6 + 2a - 1
4 = 6 + 2a
-2 = 2a
a = -1
Answer:
a = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Calculus
The definition of a derivative is the slope of the tangent line.
The derivative of a constant is equal to 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
y = 2x³ + ax² - x + 3
y'(1) = 3
Step 2: Differentiate
Basic Power Rule: y' = 3 · 2x³⁻¹ + 2 · ax²⁻¹ - 1 · x¹⁻¹ + 0Simplify: y' = 6x² + 2ax - 1Step 3: Solve for a
Substitute: 3 = 6(1)² + 2a(1) - 1Exponents: 3 = 6(1) + 2a(1) - 1Multiply: 3 = 6 + 2a - 1Combine like terms: 3 = 5 + 2aIsolate a term: -2 = 2aIsolate a: -1 = aRewrite: a = -1GIVING OUT BRAINLIEST!!! PLS HELP ASSAPPP!!!!
Which statement is correct when solving the expression 5y^2-3y^2?
Add the coefficients (5 + 3).
Subtract the exponents (2 – 2).
Add the exponents (2 + 2).
Subtract the coefficients (5 – 3).
Answer:
C. Add the exponents (2+2)
D. Subtract the coefficients. (5-3)
2y^4
I hope this helped! :))
Find the missing number so that the equation has infinitely many solutions.
3(-x + 3) = -3x +?
Answer: 9
Step-by-step explanation: First, solve the left side. Using the distributive property, the left side would be -3x + 9. The right side is the same, but missing the 9. Adding the 9 will make the value of x not matter (essentially infinite solutions).
jeffery read that he should drink 8 cups of water a day He has a water bottle that measures water in fluid ounces How many fluid ounces of water should Jeffery drink per day
Answer:
What are yu askin
Step-by-step explanation:
Answer:
64 Ounces
Step-by-step explanation:
Factor $9p^2 + 30p + 25.$ pls help
Answer:
(3p + 5)^2
Step-by-step explanation:
9p^2 + 30p + 25
9p^2 is the square of 3p = a
25 is the square of 5 = b
This may be the square of a binomial.
We need to check the middle term.
(a + b)^2 = a^2 + 2ab + b^2
2ab = 2(3p)(5) = 30p
This is the square of a binomial.
9p^2 + 30p + 25 = (3p + 5)^2
PLEASE HELPPPPPPP
Arun ran without stopping, which is closest to the benchmark fraction ___. On Tuesday, he ran 7/15 without stopping, which is the closest benchmark fraction ___. Arun ran about ____ mile(s) over the two days.
A. 1/2, 1/2, 1
B 1/4, 1/2, 3/4
C. 0/4,3/4,3/4
Answer:
Option C is correct answer
solve by the matrix method , x+y/5 -1=y-x
10x - 4y = 5 (if it requires shorten)
Step-by-step explanation:
x + y/5 - 1 = y - x
<=> (5x + y - 1.5)/5 = 5(y - x)/5
<=> 5x + y - 5 = 5y - 5x
<=> 5x + 5x + y - 5y = 5
<=> 10x - 4y = 5