Answer:
The 95% confidence interval is [tex] 2.354 < 3.526 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 5
The sample data is 3.32 2.53 3.45 2.38 3.01
Gnerally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
=> [tex]\= x = \frac{3.32+ 2.53 +3.45+ 2.38+ 3.01 }{5}[/tex]
=> [tex]\= x = 2.94 [/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{ \sum (x_i - \= x )^2}{n-1} }[/tex]
=> [tex]s = \sqrt{ \frac{ ( 3.32 - 2.94 )^2 + ( 2.53 - 2.94 )^2+ \cdots + ( 3.01 - 2.94 )^2}{5-1} }[/tex]
=> [tex]s = 0.472 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n-1[/tex]
=> [tex]df = 5-1[/tex]
=> [tex]df = 4 [/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 4 [/tex] is
[tex]t_{\frac{\alpha }{2} ,df } = 2.77[/tex]
Generally the margin of error is mathematically represented as
[tex]E =t_{\frac{\alpha }{2} ,df } * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.77 * \frac{0.472 }{\sqrt{5} }[/tex]
[tex]E = 0.586 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]2.94-0.586 < 2.94 + 0.586[/tex]
[tex] 2.354 < 3.526 [/tex]
90% of runners in a marathon successfully completed it. 30% of these runners were men. How many total runners began the marathon if 270 men completed it?
Answer:
1000
Step-by-step explanation:
270 is 30% of 900 total who completed.
900 is 90% of 1000
Josh’s walking stick is 4.875 feet long what is the same length written as a mixed number
PLEASE HELP IT'S DUE NOW!!
Karina had $32 when she arrived at the carnival. After riding six rides, she had $17 left. Solve 32 - 6x = 17 to find the price of each ride.
Answers Choices:
A. $2.50
B. $8.17
C. $9.00
D. None of the above
If you answer, thanks SO much!!!
Answer: It is A. What grade are you in
Step-by-step explanation:
Answer:
A. 2.50
Step-by-step explanation:
32 - 17 = 15, so you lost 15 dollars.
15 divided by 6 = 2.50
Why was Russia slow to modernize?
Answer:
Russian modernization was slow to take place because the concepts of modernization conflicted with the autocratic power structure itself and amplified social conflicts in the country.
Explanation:
Alexander II, amid internal problems, sought to modernize the country and expand its domains in Asia. to this end, he abolished servitude and instituted wage labor on a large scale. Alexander II even established councils, the Ziemstvos, responsible for political participation in Russian lands, but still under the tutelage of the Tsar. Newspapers and magazines were created and, apparently, Russia was moving towards political modernization.
However, ethnic minorities organized themselves and demanded autonomy or political apparatus of representation within the Empire, which affected the autocratic power of the tsar. Alexander II responded to these movements with the force of arms, and massacres were perpetrated by his order. As it was understood that the modernization of the country threatened the autocracy of the current government, the Tsar decided to delay the modernization of the country.
Step-by-step explanation:
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
n Ms. Ayala's class, 45% of the students regularly play video games. If 18 students regularly play video games, how many students are in the class?
Answer:
40 students
Explanation:
So its 45% out of 100%. multiply 18 by 100% and divide it by 45 and you get 40
A carpenter cut a 13 1/2 foot piece of wood into 3/4 foot pieces. After cutting the wood, how many pieces did the carpenter have
Answer:
18
Step-by-step explanation:
Turn the mixed number into an improper fractions: 13 × 2 = 26, 26 + 1 = 27Re-write improper fraction: [tex]\frac{27}{2}[/tex] [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3}[/tex] [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3} = \frac{108}{6}[/tex] 108/6 = 18I hope this helps!
What is the cumulative area from the left under the curve for a z-score of -0.875? What is the area on the right of that z-score?
please explain why for each step and excel formula
Answer:which z sqore are u talking about
Step-by-step explanation:
608 thousands minus 1 hundred thousand
Answer:
607 thousand
Step-by-step explanation:
Answer:
508,000
Step-by-step explanation:
608000 - 100000 = 508,000I hope this helps!
Can somebody help me with this pleaseee I need help
Answer:
3.225
Step-by-step explanation:
15%= 15/100
therefore 15% tip of 21.50
15/100×21.50 = 3.225
A music website sold 68 single songs and 40 albums today. The number of single downloads has been increasing by 12 each day. The number of album downloads has been decreasing by 2 each day. If these trends continue, in how many days will the number of single downloads be 5 times the number of album downloads?
Answer:
In 66 days will the number of single downloads be 5 times the number of album downloads
Step-by-step explanation:
For the music website, we know 68 single songs and 40 albums were sold today.
The number of single downloads increases by 12 each day. This means that in t days, there will be:
68 + 12t single downloads
The number of album downloads increases by 2 each day. In t days, there will be:
40 + 2t
We need to find when the following condition is met:
68 + 12t = 5(40 + 2t)
Operating:
68 + 12t = 200 + 10t
Rearranging:
12t - 10t = 200 - 68
2t = 132
Solving:
t=132 / 2
t = 66 days
In 66 days will the number of single downloads be 5 times the number of album downloads
Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250
Answer:
50 units
Step-by-step explanation:
Find the number of units x that produces the minimum average cost per unit C in the given equation.
C = 0.001x³ + 5x + 250
unit cost f(x) = C/x
= 0.001x³/x + 5x/x+ 250/x
f(x) = 0.001x² + 5 + 250/x
f'(x) = 0.002x - 250/x²
We equate the first derivative to zero
0.002x - 250/x² = 0
0.002x = 250/x²
Cross Multiply
0.002x × x² = 250
0.002x³ = 250
x³ = 250/0.002
x³ = 125000
x = 3√(125000)
x = 50 units
Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.
The algebra tiles represent the perfect square trinomial x2 + 10x + c.
What is the value of c?
c =
Question 2
20 pts
If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is
the range?
O (-5,-2), (-7,0).(-4,1)
O (3.0), (5.-2), (2,-3)
0 (0,3), (-2,5),(-3,2)
O (-2,-5), (0, -7), (1, -4)
Answer:
D. (-2,-5), (0, -7), (1, -4)
Step-by-step explanation:
From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].
Then we proceed to find all elements of range:
[tex]A(x,y) = (1, -4)[/tex]
[tex]f(1,-4) = (-4+2,-1-4)[/tex]
[tex]f(1,-4) = (-2,-5)[/tex]
[tex]B(x,y) = (3,-2)[/tex]
[tex]f(3,-2) = (-2+2,-3-4)[/tex]
[tex]f(3,-2) = (0,-7)[/tex]
[tex]C(x,y) = (0,-1)[/tex]
[tex]f(0,-1) = (-1+2,0-4)[/tex]
[tex]f(0,-1) = (1,-4)[/tex]
Which corresponds to option D.
What would be an appropriate label for the y-axis? Captionless Image
For wat kinda graph ND wat topic
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. He writes the following conjecture: The measures of the three angles of a triangle add up to 180°. Which of the following statements is true
Complete question is;
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?
a. jonas believes that his conjecture only applies to the triangles he drew and measured.
b. jonas believes that his conjecture only applies to the triangles he drew and measured.
c. jonas believes his conjecture is true for all triangles.
d. none of the above.
Answer:
C. jonas believes his conjecture is true for all triangles.
Step-by-step explanation:
A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.
Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.
Thus, the correct answer is Option C.
15 tens 7 ones what is the answer?
Answer:
157
Step-by-step explanation:
Answer: 15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.
Step-by-step explanation: Hopefully this helped!
10 Points if you answer this!!!!
Answer:
1 result(s) found
25
9⋅(r−25)
Step-by-step explanation:
please simplify this expression: -2x+11+6x
Answer:
4x+11
Step-by-step explanation:
−2x+11+6x
Combine Like Terms:
=−2x+11+6x
=(−2x+6x)+(11)
=4x+11
After simplifying the expression is 11 + 4x .
Given,
-2x+11+6x
Now,
Equation : -2x+11+6x
Combine the like terms and simplify further ,
So,
11 -2x + 6x
11 + 4x
Thus the simplified form is 11 + 4x .
Know more about equation,
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2. Use prime factorization to find the
LCM of 30 and 75.
Answer:
150 is the LCM for 30 and 75
I need help with Number 7 please!!!
Answer:
8.06 ft or [tex]\sqrt{65}[/tex] ft
Step-by-step explanation:
Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you [tex]\sqrt{65}[/tex] ft per side. This can be approximated to 8.06 ft.
Scott and Lana ride bikes a total of 64 miles in a week. Lana rides 8 fewer miles than Scott. How many miles does Lana ride each week?
A) 28
B) 36
C) 56
D) 72
Answer:
Welcome to Brainly! The answer is C. 56
Step-by-step explanation:
The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?
The length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
Given that a hydrogen atom has about 1.04 × 10⁻¹⁰ meters diameter, whereas a protein molecule has an overall length of 2 × 10³ times the diameter of a hydrogen atom.
We need to find the length of the protein molecule, in meters and in scientific notation.
We must multiply the diameter of a hydrogen atom by the specified factor (2 × 10³), in order to determine the length of the protein molecule in meters.
Let's compute the amount:
Length of protein molecule = Diameter of a hydrogen atom × 2 × 10³
Diameter of a hydrogen atom = 1.04 × 10⁻¹⁰ meters
Length of protein molecule = 1.04 × 10⁻¹⁰ meters × 2 × 10³
To multiply numbers in scientific notation, we add the exponents and multiply the coefficients:
Length of protein molecule = 2.08 × 10⁻⁷ meters
So, the length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
Learn more about scientific notation click;
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The length of the protein molecule, in meters and written in scientific notation, is approximately 2.08 × 10^(-7) meters.
To calculate the length of the protein molecule in meters, we'll start with the given diameter of a hydrogen atom and multiply it by the scaling factor of 2000. Let's perform the calculations:
Diameter of a hydrogen atom = 1.04 × 10^(-10) meters
Length of the protein molecule = 2000 × (Diameter of a hydrogen atom)
Multiplying the diameter by the scaling factor:
Length of the protein molecule = 2000 × (1.04 × 10^(-10))
When multiplying numbers written in scientific notation, we can multiply the coefficients and add the exponents:
Length of the protein molecule = 2000 × 1.04 × 10^(-10)
Calculating the coefficient:
2000 × 1.04 = 2080
Calculating the exponent:
10^(-10)
Putting the coefficient and exponent together:
Length of the protein molecule = 2080 × 10^(-10)
Writing it in scientific notation:
Length of the protein molecule = 2.08 × 10^(-7)
for such more question on length
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1 6+ 7 + 4x = x + 3x + 7 pls show work
Answer: x=2 Please mark as brainliest
Step-by-step explanation: 16+7+4x=x+3x+7
combine like terms: 23+4x=4x+7
get x to one side: 23=8x+7
subtract: 16=8x
divide: x=2
The sum of twice a number n and 8 is at most 5
Answer:
n is less than or equal to -1.5
Step-by-step explanation:
2n+8 is less than or equal to 5.
2n is less than or equal to -3
n is less than or equal to -1.5
Answer:
n is less than or equal tn is less than or equal to -1.5
Step-by-step explanation:
so it would be 2n + 8 ≤ 5 and 2n + 8 ≤ 5
hope this helped!
p.s it would be cool if you gave me brainliest
Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?
Answer:
cosθ = c/√1+c²Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
Indicate which property is illustrated in Step 2
7 + (1 + 7) + 0 = 7+ (7 + 1) + 0
= (7 + 7) + (1 + 0)
= (7 + 7) + 1
= 14 +1
Step 1
Step 2
Step 3
Step 4
OA. commutative property of multiplication
OB. identity property of addition
oc. distributive property
OD. associative property of addition
Answer:
the associative property of addition i think
Step-by-step explanation:
Anyone ??? Help with this one
Answer:
(4x-3y)(4x+3y)
Step-by-step explanation:
This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)
Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].
It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.
Now, you need to do (4x-3y)(4x+3y)
Hope this helps
I need help on this please!!
Answer:
Step-by-step explanation:
1. Height of the equilateral triangle = a√3/2
8√3/2=4√3=6.9
2. 60 (equilateral triangle means all three sides and angles are equal)
I need help with this one
Answer:
The first three
Step-by-step explanation:
magazine subscription cost $29.88 for 12 issues or $15.28 for six issues which subscription cost more per issue
Answer:
$15.28 for 6 issues cost more
Step-by-step explanation:
$29.88 divided by 12 is $2.49
$15.28 divided by6 is $2.546