Answer:
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
Step-by-step explanation:
The National average number of runs scored by a LL team is
μ = 5.7
Sample Information:
size sample n = 5
sample average x = 7.4
sample standard deviation s = 2.88
Is required to investigate if that sample average is statistically different from the National average
We will do a test with 95 % of confidence Interval that means
significance level α = 5 % or α = 0.05.
The sample size is 5 then even when we assume normal distribution the sample size indicates that we need to use t-student distribution. Furthermore, as the question is if the sample average is different from the national the test will be a two-tail test.
Then α = 0.05 α/2 = 0.025
df = n - 1 df = 5 - 1 df = 4
Then from t-student table we get t(c) = 2.132
Hypothesis test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate t (s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 7.4 - 5.7 )* 2.24 / 2.88
t(s) = 1.7* 2.24 / 2.88
t(s) = 1.32
Comparing t(s) and t(c)
1.32 < 2.132
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
Please helpppppppppppp
Answer:
It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.
Step-by-step explanation:
A. Determination of the time it takes for the object to 1000 ft.
Distance (d) = 1000 ft
Time (t) =?
t = √(d/16)
t = √(1000/16)
t = 8 s
B. Determination of how much feet an object will fall in 10 s.
Time (t) = 10 s
Distance (d) =?
t = √(d/16)
10 = √(d/16)
Take the square of both side
10² = d/16
100 = d/16
Cross multiply
d = 100 × 16
d = 1600 ft
SUMMARY
It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.
the length of each side of a cube is 3x+10 Write a polynomial in standard form to represent the surface area of the cube
==========================================================
Explanation:
One square face has an area of
(length)*(width) = (3x+10)(3x+10) = 9x^2+30x+30x+100 = 9x^2+60x+100
after using the FOIL rule
Multiply that by 6 to get the total area of all 6 faces
6*(9x^2+60x+100) = 54x^2+360x+600
The surface area units are in square feet.
55 squared- 45 squared=
Answer:1000
Step-by-step explanation:
Find the GCF of 20 and 95 Using the Euclidean Algorithm. Check your work by using the prime factorization method.
Answer:
5
Step-by-step explanation:
To start, you use the formula a/b=c, in which a is bigger than b. In this case, that's 95/20=c. The greatest common factor is 5.
whats the factor of. [tex]3mx^{2} -19mn+6nx^{2}[/tex]
easy math questions please help me:)! solve for x and show work
Answer:
4) 93°
5) 1°
6) 51°
7) 6°
Step-by-step explanation:
4)
180 - 36 - 51 = 93
93 °
5)
(4x + 27 ) = 180 - 64 - 85
4x + 27 = 31
x = 1
6)
theory of exterior angles in a triangle:
21 + 30 = x
x = 51
7)
3x + 42 = 46 + 44
3x + 42 = 90
3x = 48
x = 16
If my answer is incorrect, pls correct me!
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What is a number divided by 3
gives a remainder of 1, divided by 4
gives a remainder of 2, divided by
5 gives a remainder of 3?
Answer:
58
Step-by-step explanation:
58/3 gives a remainder of 1
58/4 gives a remainder of 2
58/5 gives a remainder of 3
The difference between accuracy and precision
Answer:
Accuracy is the degree of closeness between a measurement and the measurement's true value. Precision is the degree to which repeated measurements under the same conditions are unchanged.
Definition With Example
Accuracy refers to the closeness of a measured value to a standard or known value. ... Precision refers to the closeness of two or more measurements to each other. Using the example above, if you weigh a given substance five times, and get 3.2 kg each time, then your measurement is very precise.
What is the LCM of 72,96,120
Answer:
LCM = 1440
Step-by-step explanation:
2 | 72 , 96 , 120
2 | 36, 48, 60
2 | 18 , 24 , 30
2 | 9 , 12 , 15
2 | 9 , 6 , 15
3 | 9 , 3 , 15
3 | 3 , 1 , 5
5 | 1 , 1 , 5
| 1 , 1 , 1
LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 1440
If k kilometres is the same distance as m miles.
k is given approximately by the fomula. k=8m/5
the number of miles in 112km.
Step-by-step explanation:
my answer is in the image above
The solution is m=70miles.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
If k kilometers is the same distance as m miles.
k is given approximately by the formula.
k=8m/5
the number of miles in 112km,
then, we get
k=8m/5
i.e. m= 5k/8
now, k=112
so, m= 5/8 * 112
i.e. m=70
Hence, The solution is m=70miles.
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Calculate the total number of pizzas that must be bought for a birthday party if
each pizza is cut into 8 slices and each 26 children invited would be given 3
slices.
Answer:
10
Step-by-step explanation:
26×3=78
78÷8=9.75
round up to 10 since you can't buy .75 of a pizza
Khanacademy Unit:Sequences
What does g(2)=?
Answer:
g(2) = -42
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationAlgebra II
SequencesStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \left \{ {{g(1) = 50} \atop {g(n) = 8 - g(n - 1)}} \right.[/tex]
Step 2: Evaluate
Substitute in x [Function g(n)]: g(2) = 8 - g(2 - 1)(Parenthesis) Subtract: g(2) = 8 - g(1)Substitute in function value: g(2) = 8 - 50Subtract: g(2) = -42what is 15/16 -1/16? 3/4 or 13/16 or 7/8 or 1?
Answer:
7/16
Step-by-step explanation:
(15/16 - 1/16)
(15 - 1)/16 = 14/16 = 7/8
•°• = 7/8
The name of the circle pictured is circle C
A. True
B. False
Answer:
TRUE IS THE ANSWER
Step-by-step explanation:
The name of the circle pictured is circle C is True statement.
What is Circle?A circle is a collection of points in a plane that are all equally spaced apart from one another. The radius is the distance from the centre, while the centre is the location of the point. The diameter is defined as twice the radius. A complete angle, which is equal to or radians, is the angle that a circle subtends from its centre.
we have a graph for a circle.
We know a circle many parts such as Center, Radius, Diameter, Chord, etc.
A circle usually know from its Center.
Also, the center of circle shows the point of circle.
Thus, the given statement is True.
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Mandy borrows $10,000 for 3 years at a 6% interest. What is the cost of the loan, or total interest?
Answer:
Interest Earned ₹ 1,800
Principal Amount ₹ 10,000
Total Value ₹ 11,800
The cost of the loan for Mandy will be $11800 and the total interest for 3 years will be $1800.
What is simple interest?Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time.
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
In another word, if the principle amount is the same in each time period then the interest will also same for every time period.
Given that
Principle amount = $ 10000
Time period = 3 years
Rate of interest = 6%
Rate of interest at the end of 1st year
10000 × 6/100 ⇒ $600
Since in simple interest rate of interest remain same so
Rate of interest for 3 years
3 × 600 = $ 1800 hence rate of interest will be $1800.
Cost of the loan = principle amount + total interest
Cost of the loan = 10000 + 1800 ⇒ $11800 will be the cost of the loan.
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What is the conversion for m/s to km/h ?
Answer:
3.6km/hr
Step-by-step explanation:
What is the conversion for m/s to km/h ?
According to the conversion
1m = 0.001km
1s = 1/3600 hr
m/s to km/hr = 0.001/(1/3600)
= 0.001×3600
= 3.6
Hence the conversion is 3.6km/hr
Kay leaves a $6 dollar tip for a $60 dollar bill what percentage is the tip
Answer: uhh 10%??
Step-by-step explanation:
I'm not rlly good at percentage-
Linda is doing car wash with her teammates to collect money for their trip. They can
get $12 for the car that they wash. In order to start their work, they spent $155 to buy
supplies needed for the work.
Part A:
Create a function f(c) to represent the profit that they make for washing c cars.
f(c) =
(b)
Part B:
Use the function rule that you created on Part A to find the value of f '(145)
f-? (145)
9514 1404 393
Answer:
(a) f(c) = 12c -155
(b) f⁻¹(145) = 25
Step-by-step explanation:
(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...
f(c) = 12c -155
__
(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...
145 = 12c -155
300 = 12c . . . . . . add 155
25 = c . . . . . . . . . divide by 12
f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145
Solve the equation for x in terms of c.
2/3(cx+1/2)-1/4=5/2
Answer:
Step-by-step explanation:
The answer you have chosen is not correct. Let's walk through the simplification process, shall we?
Begin by adding over the 1/4, after you find the common denominator, that is. 5/2 with a denominator of 4 is 10/4:
[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}[/tex] and then multiply both sides by the reciprocal of 2/3:
[tex]cx+\frac{1}{2}=\frac{33}{8}[/tex] then subtract the 1/2 in the form of 4/8 (common denominator and all...) to get
[tex]cx=\frac{29}{8}[/tex] and finally divide both sides by c to get
[tex]x=\frac{29}{8c}[/tex] That's choice C.
2. Suppose the measures of the interior angles of a convex octagon are eight
numbers, each separated by a value of 1 degree from its neighbors. Find
the measure of the second smallest angle.
118°
131°
132.5°
142°
None of these answers are correct.
=====================================================
Explanation:
The interior angles are consecutive numbers such as 1,2,3,... or 7,8,9... and so on. The gap between any two adjacent neighbors is 1.
For any polygon with n sides, the interior angles add up to 180(n-2)
We have n = 8 sides so the interior angles sum to 180(n-2) = 180(8-2) = 1080 degrees.
Any octagon has its interior angles add up to 1080 degrees.
-----------------------------
Let x be the smallest angle. The next angle up is x+1. After that is x+2 and so on until we reach x+7 as the 8th angle.
Add up those 8 angles, set the sum equal to 1080 and solve for x
x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7) = 1080
8x+28 = 1080
8x = 1080-28
8x = 1052
x = 1052/8
x = 131.5
This is the smallest angle. The next angle up or the second smallest angle is x+1 = 131.5+1 = 132.5 degrees (choice C)
In the summer 2013, the animal action report stated that 59% of americans between the ages 18 and 29 oppose medical testing. Is this descriptove statistics or inferential statistics?
A. Inferential Statistics.
B. Descriptive Statistics.
Answer:
Descriptive Statistics
Step-by-step explanation:
Descriptive statistics is the analysis of data which involves describing or summarizing the data we have at a given time at our disposal. It gives us a clear idea of the characteristics of the sample under study. It however cannot be used testing hypotheses. Using of simple percentages is an example of descriptive statistics. Thus, the use of percentage in the case stated above is a descriptive statistics.
An Olympic swimming pool is 50 metres long by 25 metres wide. Rebecca draws a scale diagram of it to a scale of 1 cm to 5 m. How many centimetres long should her drawing be?Required to answer. Single choice.
(2 Points)
5
10
25
Answer:
10
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Scaled length of the pool = 50 / 5 = 10cm
What is the distance between the points (2, 1) and(6, 7)?
Answer:
[tex]\displaystyle d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, 1)
Point (6, 7)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(6 - 2)^2 + (7 - 1)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{4^2 + 6^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{13}[/tex]Which of the following represents the factorization of the trinomial below?
X2 - 2x - 48
ANSWER ASAP
Answer:
(X+6)(x-8)
Step-by-step explanation:
Answer:
(x-8)(x+6)
Step-by-step explanation:
Factor the trinomial using the AC method.
x * x = x^2
-8 + 6 = -2
-8 * 6 = -48
help with multi step inequalities please
Answer:
B. The solution is valid because all steps to solve the inequality for F are correct.
Step-by-step explanation:
F - 32 ≤ 0
Add 32 to both sides of the equation to have;
F -32 + 32 ≤ 0 + 32
F ≤ 0 + 32
F ≤ 32
It can be observed that to solve for F, the steps are correct. Thus the solution is valid. Therefore, the correct choice in the given question is the solution is valid because all steps to solve the inequality for F are correct.
[tex]\huge{\boxed{ \sum_{n=1}^{\infty}\frac{3n}{3^n \: n!}=}}[/tex]
[tex]HOLA!![/tex]
Answer:
[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{3n}{3^n \: n!}=e^{\frac{1}{3} } }}[/tex]
Explanation:
[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{3n}{3^n \: n!}=}}[/tex]
For this we have to take into account:
[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{x^{n} }{n!} =e^{x} }}[/tex]
Using the properties of factorials and exponents we have:
[tex]n!=(n-1)n![/tex] Also. [tex]\frac{n^{x} }{ n^{y} }=n^{x-y}[/tex]
We replace:
[tex]{\boxed{ \sum_{n=1}^{\infty}\ \frac{1}{3^{n-1}.(n-1)! } }}[/tex]
Shape it:
[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{(\frac{1}{3} )^{n-1} }{(n-1)!} }}[/tex]
Finally:
[tex]{\boxed{ \sum_{n=1}^{\infty}\frac{(\frac{1}{3} )^{n-1} }{(n-1)!} =e^{\frac{1}{3} } }}[/tex]
If a square has an area of 0.25 square unit, what is the side length of the square?
Answer:
0.5
LxW=A
0.5x0.5=0.25
Answer:
the side length of square is 0.5 unit.
Step-by-step explanation:
area of square = l^2
0.25 = l^2
[tex]\sqrt{0.25[/tex] = l
0.5 = l
Which number does not make the comparison true? 23.195 < □
A- 23.200
B-23.198
C-23.189
D-23.205
Answer:
D
Step-by-step explanation:
because it's the highest out of the other letter
The number does not make the comparison true is 23.195 >23.189. Therefore, option C is the correct answer.
How to compare to decimals?Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.
Given that, 23.195 <
Here,
A) 23.195 <23.200
B) 23.195 <23.198
C) 23.195 >23.189
D) 23.195 <23.205
Therefore, option C is the correct answer.
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Khanacademy Units: Sequences
What does f(3) equal?
Answer:
f(3) = 100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \left \{ {{f(1) = 4} \atop {{f(2) = 25} \atop {f(n) = f(n - 2) \cdot f(n - 1)}} \right.[/tex]
Step 2: Evaluate
Substitute in n [Function f(n)]: f(3) = f(3 - 2) · f(3 - 1)Simplify: f(3) = f(1) · f(2)Substitute in function values: f(3) = 4 · 25Multiply: f(3) = 100Can someone answer with steps and explanation? Thanks.
Answer:
[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]
Step-by-step explanation:
Since Segment BOA is a diameter:
[tex]m\angle ACB=90[/tex]
Arc Ac and Arc CB are in a ratio of two to four. Since Segment BOA is a diameter, Arc ACB measures 180°. Letting the unknown value be x, we can write that:
[tex]2x+4x=180[/tex]
Hence:
[tex]x=30[/tex]
Thus, Arc CB = 120°. By the Inscribed Angle Theorem:
[tex]\displaystyle m\angle A=\frac{1}{2}\left(\stackrel{\frown}{CB}\right)=\frac{1}{2}\left(120)=60[/tex]
Therefore, ΔABC is a 30-60-90 triangle. Its sides are in the ratios shown in the image below.
Since AC is opposite from the 30° triangle, let AC = a.
We are given that AC = 9. Hence, a = 9.
BC is opposite from the 60° angle and it is given by a√3. Therefore:
[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]