Answer:
The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s to the standard deviation and n to the sample size.
The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.
In this question:
One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17
Answer:
the answer is 17
Step-by-step explanation:
6×3-1
= 17
What is the prime number 24 16 41 64
Answer:
41
Step-by-step explanation:
because that is the only number that does not have any factors
A sound wave is given by the
following equation:
y = 6 sin(324pi t)
where t = time in seconds
How many cycles will occur
between t= 3 and t = 5.5 seconds?
Answer:
405 cycles
Step-by-step explanation:
We have the equation:
y = 6*sin(324*π*t)
For the properties of the sin function, we know that the period is 2π.
So between:
Sin(x) and Sin(x + 2*pi)
we have a cycle.
between:
Sin(x) and Sin(x + 6*pi)
we have 3 cycles.
and so on.
Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds
Between these times, the difference in the argument of the sin function is:
324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5
Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5
That number is just the quotient between 324*π*2.5 and 2*π
N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405
There are 405 cycles between 3 seconds and 5.5 seconds.
[tex]\huge \mathcal\color{orange}\boxed{\colorbox{purple}{Question}}[/tex]
Use Euclid's division lemma to show that the square of any positive integer is either of
the form 3m or 3m + 1 for some integer m.
Answer:
let us consider a positive integer a
divided the positive integer a by 3, and let r be the remainder and B be the quotient and such that.
a=3b+r.........(1)where =0,1,2,3
case 1:consider r=0
equation (1)becomes
a=3bon squaring both the side
a²=(3b) ²a²=9b²a²=3 x 3b²a²=3mwhere m=3b²case 2: Let R=1equation (1) become a=3b+1squaring on both the side we get a²=(3b+1)²a²=(3b) ²+1+2x(3b)x1a²=9b²+6b+1a²=3(3b²+2b) +1a²=3m+1where m=3b²+2bcase3:let r=2equation (1)becomesa=3b+2squaring on both the sides we get a²(3b+2)²a²=9b²+4(12x3bx2a²9b²+(12b+3+1)a²3(3b²+4b+1)+1a²3m+1where m=3b²+4b+1
: square of any positive integer is of the form 3M or 3M + 1
: hence proved.
Answer:
It is the correct answer.
Step-by-step explanation:
Hope this attachment helps you.
The three point line on a basketball court forms a semi circle. For middle school, it has a diameter of 34 feet. What is the area of the semi circle?
Answer:[tex]454.019\ ft^2[/tex]
Step-by-step explanation:
Given
Diameter of semi-circle is [tex]d=34\ ft[/tex]
So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]
Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]
[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]
Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]
I need help!! Ty
(10x + 6)°
(4x + 4)°
Answer:
THE ANSWER IS 6
Step-by-step explanation:
How many subset of (a, b, c, d, et, h, i) are there?
show how you determined it.
Answer:
6
Step-by-step explanation:
hope this helped
What is the sum of the interior angles of the polygon shown below?
Answer:
540 degrees
Step-by-step explanation:
The formula to find the sum of interior angles in any polygon is the following:
[tex]S=180(n-2)[/tex]
Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;
[tex]S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]
Find the value of x
Please help out !!
Answer:
x = 8
Step-by-step explanation:
These are corresponding so they are congruent.
Your equation is: 14x-4=12x+12
x=8
Step-by-step explanation:
these numbers are corresponding angle to each other
so =>14x–4=12x+12
14x–4=12x+12collect like terms
=>14x–12x=12+4
=>2x=16 divide both side by 2 you get
=>x=8
Find the length of the missing side. Enter your answer as a number only.
Answer:
using formula:
a^2+b^2=c^2
54^2+x^2=90^2
2916+x^2=8100
x^2=8100-2916
x=[tex]\sqrt{5184}[/tex]
x=72 m
Step-by-step explanation:
Properties of Triangles (Math please help meee its worth 100 points in my grade)
Which expression will simplify (3a+6) (7a-2)
I don't like doing math help if you know :)
Answer:
Step-by-step explanation:
-(2x+1)
-2x-1
write -2 in that bos and 1 after "-"
twice one number added to three times another gives 21 find the numbers if the difference between them is 3
Answer:
6 and 3
Step-by-step explanation:
let x and y be the 2 numbers with x > y , then
2x + 3y = 21 → (1)
x - y = 3 → (2)
Multiplying (2) by 3 and adding the result to (1) will eliminate y
3x - 3y = 9 → (3)
Add (1) and (3) term by term to eliminate y
5x = 30 ( divide both sides by 5 )
x = 6
Substitute x = 6 into either of the 2 equations and solve for y
Substituting into (1)
2(6) + 3y = 21
12 + 3y = 21 ( subtract 12 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
The 2 numbers are 6 and 3
Are the ratios 10:2 and 20:4 equivalent
Answer:
Yes, they are equal
Step-by-step explanation:
To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.
In this case, 10*4 = 40
20*2 = 40
Find the area of the composite figure.
Plz help mee
Answer:
I think it's 27 by adding the sides
Frances and Joyce decided to take a shortcut through the woods to go to their friend's house. When they went home they decided to take the long way around the woods to avoid getting muddy shoes. If the length of the shortcut is equal to the square root of the sum of the squares of the other two sides, what total distance did they walk?
Answer:
Length of shortcut = 15 km
Step-by-step explanation:
Given that;
Length of shortcut is equal to square root of the sum of the squares of the other two sides.
So,
We can find length of shortcut.
Assume:
Length of other two side area 12 km and 13 km
So,
H = √P² + B²
Length of shortcut = √12² + 13²
Length of shortcut = √144 + 169
Length of shortcut = √225
Length of shortcut = 15 km
Someone please help me
Answer:
6 ft
Step-by-step explanation:
10² - 8² = x²
100 - 64 = x
100 - 64 = 36
√36 = 6
Mhanifa please help! This is late and I need to get it done ASAP or I will fail
Answer:
Use the ratio of corresponding sides of similar triangles.
#1
50 / x = x / 25x² = 50*25x = 25√2#2
63 / x = x / (112 - 63)x² = 63*49x = 21√7#3
100 / x = x / 8x² = 100*8x = 20√2#4
x / 18 = 18 / 16x = 18*9/8x = 81/4What is an equation of the line that passes through the points (-3, -5) and
(-5, -3)?
Answer: y = -x-8
Step-by-step explanation:
(-3,-5) (-5,-3)
Slope (m) = (y-y)/(x-x) = (-3- -5)/(-5- -3) = (-3+5)/(-5+3) = 2/- 2 = - 1
m = - 1
Point (-3,-5)
y-y=m(x-x)
y- -5= -1(x- -3) = y+5 = -1(x+3)
y+5 = - x -3
y+5= - x - 3 (substract 5 from both sides)
y = - x - 8
hey! i’ll give brainliest please help
Answer:
B
Step-by-step explanation:
A compound sentence is a sentence that has at least two independent clauses joined by a comma, semicolon or conjunction. ... An example of a compound sentence is, 'This house is too expensive, and that house is too small.
Hope this helps!!!
hello rhere, the answer to this is B
ASAP
-WILL MARK BRIANIST
Answer:
20%
Step-by-step explanation:
40-32=8
8/40=20%
This is what I think I hope it helps If right mark me brainliest If wrong tell me and I will figure out another answer.
Answer:
32 are eaten so we need to eliminate that from the total pieces.
40 - 32 = 8 are not eaten YET
8/40 since there are 8 out of 40(in total) that are not eaten
Now we need to convert 8/40 into a percent which means we multiply by a 100 to get 20%.
Brainliest is appreciated.
the three side lengths of four triangles are given. which triangle is a right triangle? Triangle 1: 2, 4, 5
Triangle 2: 4, 7, 8
Triangle 3: 3, 4, 5
Triangle 4: 6, 8, 11
Answer:
Triangle 3
Step-by-step explanation:
A 3:4:5 triangle or any triangle of the same ratio (Like 6:8:10) is always a right triangle
please help ive been struggling for a hour i will give 16 points if corrected
Answer:
EFG = 104°
GFH = 76°
Step-by-step explanation:
The sum of a linear pair is always equal to 180°
So lets solve for the variable n
2n + 32 + 4n + 16 = 180
6n + 48 = 180
6n = 132
n = 22
So now we know N
EFG = 4n + 16
EFG = 88 + 16
EFG = 104°
GFH = 2n + 32°
GFH = 44 + 32
GFH = 76°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Towns X, Y, and Z are on the same straight road. Town Y is between Town X and Town Z. Town X is 57 miles from Town Z, and Town Y is 28 miles from Town Z. What is the distance from Town X to Town Y? A. 21 miles B. 28 miles C. 29 miles D. 30 miles
Answer:
c
Step-by-step explanation:
distance between town X and Z = 57 MILES
distance between y and z = 28 miles
distance from x to y = 57 - 28 = 29 miles
please check the attached image for a diagram that would help better understand the question
Help me ! Jdkdjdjdb almost due
Answer: B
Step-by-step explanation
p^2+q, use p=5 and q= -3
All you have to do for this problem is fill in for p and q.
5^2+-3 = 22
Answer:
B) 22
Step-by-step explanation:
Plugging in the values we can solve the equation:
(5)^2 + (-3)
25 + (-3) -- Evatuate exponents first
25 - 3 = 22 -- Simplify to receive answer
What is the value of the following expression? (8 + 5 x 9) - 2
Topic: PEMDAS
Please provide an explanation to be rewarded brainly.
Worth: 20 Points
Answer:
51
Step-by-step explanation:
Parenthesis exponents multiplication division addition subtraction
(8+5x9)-2
(8+45)-2
53-2
51
Which of the following is a classified as a trinomial
Answer:
A
Step-by-step explanation:
theres 3 ( x³, -3x, 3)
Answer:
A) x² - 3x + 3
Step-by-step explanation:
A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.
In other words, a trinomial is a polynomial consisting of three monomials.
Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper.
1. It is referred to as the collection of facts such as values and measurement.
a. Data c. Sample
b. Population d. Sets
2. This nature of data can be classified as discrete or continuous data.
a. Qualitative c. Nominal
b. Quantitative d. Ordinal
3. It is a sub-collection of elements coming from a certain population.
a. Sets c. Data
b. Sample d. Population
4. Black, blue, yellow, and red are examples of what ________ data according to its nature.
a. Nominal c. Qualitative
b. Quantitative d. Discrete
5. Juan conducted a research study to identify the factors that affect the study habits of
Grade7 students in Manuel Luis Quezon High School. He created a questionnaire for his
participants to gather data. What method did Juan use?
a. Survey Method c. Observation Method
b. Interview Method d. none of these
Answer:
1. A
2. B
3. B
4. C
5. A
Step-by-step explanation:
1. Data: is referred to as the collection of facts such as values and measurement. It include but isn't limited to attributes, names, fields and definitions that are being used in a computer database system.
2. Quantitative: this nature of data can be classified as discrete or continuous data. It is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.
3. Sample: it is a sub-collection of elements coming from a certain population. Sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
4. Black, blue, yellow, and red are examples of what qualitative data according to its nature. It includes variables that are non-numerical in nature i.e they are categorical. For example, the color of a car, gender, shapes etc.
5. Juan conducted his research using a survey method because he created a questionnaire so as to gather data from his participants.
The circumference of a circle is 7 π π ft. Find its diameter, in feet
Answer:
2.23
Step-by-step explanation: