Answer:
service subscription and age are not independent
Step-by-step explanation:
The appropriate statistical test to adopt for the above problem is the Chisquare test.
The hypothesis :
H0 : service subscription and age are independent
H1 : service subscription and age are not independent
Observed values :
Under 18 18-34 35 and Over Total
Yes__ 120 __262 __237__ 619
No___ 41 ___103 __237 __381
Total 161 365 574 1000
χ² = (Observed - Expected)²/Expected
Expected Values:
99.659 __ 225.935 __ 293.406
61.341 ___ 139.065 __ 180.594
The Chisquare values :
4.15172__ 5.7569__ 10.8438
6.74518_ 9.35307 __ 17.6176
χ² = 4.15172 + 5.7569 + 10.8438 + 6.74518 + 9.35307 + 17.6176 = 54.46827
Degree of freedom = (row-1)*(column-1) = (2-1)*(3-1) = 1*2 = 2
Pvalue at df = 2 ; Pvalue = 0
α = 0.05
Pvalue < Α ; Hence, we reject H0 ; and conclude that service subscription and age are not independent
Complete the square to find the y-value for the minimum value of the function-f(x)=x^2-8x+28
9514 1404 393
Answer:
12
Step-by-step explanation:
The square can be completed by adding and subtracting the square of half the linear term's coefficient.
f(x) = x^2 -8x +(-8/2)^2 +28 -(-8/2)^2
f(x) = (x^2 -8x +16) +(28 -16)
f(x) = (x -4)^2 +12
The minimum value of the function is 12, when the squared term is zero.
A silver bracelet weighs 106.5 grams, which is 21.3 times the weight of a silver coin.
If represents the weight of the coin, which equation can be used to find ?
Which of the following is the net of a pyramid?
Answer:
The answer is A
Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.
I WILL MAKE YOUR ANSWER THE BRAINLIEST IF YOU KNOW IT IS RIGHT
FIND THE VOLUME OF THE CONE
Answer:
[tex]v = \pi \: r {}^{2} \: \frac{h}{3} \: = \: 3.14 \times \: 2 {}^{2} \times \frac{9}{3} = 37.68[/tex]
Step-by-step explanation:
•|◉ jess ◉|•#keep learning
factorize for me
y + 3y + 2-sin2x=0
Answer:
−(−4y−2+sin2(x))=0
Step-by-step explanation:
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon
Answer:
The shape from the cross-section resulting from the cut would be a Rhombus
Step-by-step explanation:
Edmentum Plato users!
The shape of the cross-section resulting from the cut is C. Rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Therefore, the shape of the cross-section resulting from the cut is a rhombus.
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write the equation to the axis of symmetry for this graph. help??
What is the value of x in the triangle below?
I know that...
6x
4x
2x
Step-by-step explanation:
the value of x is 15
this question was solved by 6x +4x+2x is equal to 180 degree the reason is being the angles of the triangle similarly you can solve more of the question of this type by using this concept
please mark me the brainliest
An investment company advertised that last year its clients, on average, made a profit of 8% . Assuming that average refers to the mean, which of the following claims must be true based on this information?
a. This year some of their clients will make a profit of at least 8%.
b. Last year some of their clients made a profit of at least 8%.
c. Last year more than half of their clients made a profit of at least 8%.
d. Last year at least one of their clients made a profit of more than 11%.
e. Last year at least one of their clients made a profit of exactly 8%.
f. None of the above statements is true.
Answer:
The answer is "Option 2".
Step-by-step explanation:
Please find the complete question in the attached file.
When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.
A farmer has a 40-acre farm in Georgia. The farmer is trying to determine how many acres of corn, peanuts, and cotton to plant. Each crop requires labor, fertilizer, and insecticide. The farmer has developed the following linear programming model to determine the number of acres of corn (X1), peanuts (X2), and cotton (X3) to plant in order to maximize profit. Max 550 X1 350 X2 450 X3 s.t. Constraint 1: 2 X1 3 X2 2 X3
Answer:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
Step-by-step explanation: INCOMPLETE QUESTION.
As the problem statement establishes: "Each crop requires labor, fertilizer, and insecticide" and information about quantities and availability does not exist. To build a model and that such model would be feasible I copy from the internet the following data. We assume the problem is to maximize the number of acres to plant with a maximum of profit ( we will use as profit the numbers 550 ; 350 ; 450 for acres of corn, peanuts, and cotton)
Then z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
labor (h) fertilizer ( tn) Insecticide (Tn)
acres of corn (x₁) 2 4 3
acres of peanut (x₂) 3 3 2
acres of cotton (x₃) 2 1 4
Availability acres 40 120 120 100
Constraints:
1) Size of the farm 120 acres
x₁ + x₂ + x₃ ≤ 40
2) labor 120 h
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
3) Fertilizer 120 Tn
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
4) Insecticide 100 Tn
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
The Model is:
z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
Subject to:
x₁ + x₂ + x₃ ≤ 40
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
x₁ ≥ 0 ; x₂ ≥ 0 ; x₃ ≥ 0
After 3 iterations using an on-line solver optimal solution is:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 42 m. (Round your answer to two decimal places.) m3
Step-by-step explanation:
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Taking differentiation,
[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]
So,
[tex]dV=2\pi r^2\times dr[/tex]
Put r = 21 m and dr = 0.03 cm = 0.0003 m
[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]
Hence, this is the required solution.
Write this ratio as a fraction in simplest form without any units. 20 quarts to 9 gallons
Answer:
20/9
Step-by-step explanation:
20 quarts : 9 gallons
20/9(1 is the HCF of both values)
20/9
Help pleaseee (pre algebra)
Answer:
Robert had 78 coins or c=78
[tex]\frac{y^2}{36} -1[/tex]
Answer:
that's my answer
Step-by-step explanation:
i hope it helps
find the value of x. what is the relationship of these 2 angles? set up and solve an equation
As it is right angled, thus it will be equal to 90.
= 2x + 5 + x + 25 = 90
= 3x + 30 = 90
= 3x = 60
= x = 60/3
= x = 20
Answer:
x = 20°
Step-by-step explanation:
[tex]2x + 5 + x + 25 = 90 \\ 3x + 30 = 90 \\ 3x = 90 - 30 \\ 3x = 60 \\ x = \frac{60}{3} \\ x = 20 \\ [/tex]
What is the equation of the circle with center (−2, 5) that passes through
the point (4, −1)? Write the steps and instructions to find the equation.
Answer:
Step-by-step explanation:
the equation is 8 cause 10 equals 8
What would be the answer to this question? I am kinda stuck on this one.
Answer:
C = 16pi
Step-by-step explanation:
C = 2*pi*r where r =8
C =2*pi*8
C = 16pi
Answer:
[tex]c = 16\pi[/tex]
Step-by-step explanation:
1: Substitute:
[tex]c = 2\pi \: r \\ r = 8 \\ c = 2\pi \times 8[/tex]
2: Solve the equation:
[tex]c = 2\pi \times 8[/tex]
Calculate:
[tex]c = 16\pi[/tex]
The equation y=8.50x + 33 can be used to estimate the monthly premium y of a $250,000 term life insurance policy for a male smoker who is more than 40 year old. In this equation, x is the age of a man above 40. For example, a 60 year old male smoker, x =20. Estimate the monthly insurance premium for a 48-year old male smoker. (Show all work)
Answer:
$101
Step-by-step explanation:
Given
[tex]y = 8.50x + 33[/tex]
[tex]x \to[/tex] age above 40
Required
Insurance for 48 years old
First, we solve for x
[tex]x = 48 - 40[/tex]
[tex]x = 8[/tex]
So, we have:
[tex]y = 8.50x + 33[/tex]
[tex]y = 8.50 * 8 + 33[/tex]
[tex]y = 68 + 33[/tex]
[tex]y = 101[/tex]
Variables A and B have a linear relationship with a correlation coefficient of 0.35.
Which statement best analyzes the fit?
1. There is a weak positive correlation.
2. There is a strong negative correlation.
3. There is a strong positive correlation.
4. There is a weak negative correlation.
Answer:
1. There is a weak positive correlation.
Step-by-step explanation:
The correlation coefficient shows the relation of points in a data set. It is between 0 and 1 or 0 and -1. If the coefficient is closer to 0 then the correlation is weak. So, since 0.35 is closer to 0 than 1 it must be a weak correlation. Additionally, because it is positive the correlation must also be positive. A positive correlation means that the line of best fit will have a positive slope.
A store manager timed Janette
Answer:
more information please.
Step-by-step explanation:
Plz help me solve this thanks
Answer:
y= -6/7
Step-by-step explanation:
.............. I did it, trust me
On a coordinate plane, 3 lines are shown. Line m has points (negative 4, 3) and (0, negative 4). Line n has points (1, 2) and (3, negative 2). Line k has points (negative 3, negative 3) and (4, 1).
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answer:
actually, the answers are "No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Reason: just did it!!!!
Answer:
"No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Step-by-step explanation:
A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangle section is 8 feet shorter than twice the shortest side. The third side is 2 feet longer than the shortest side. The perimeter is 58 feet. How long is each side?
Step-by-step explanation:
=>>. Hello mate. (◕ᴗ◕✿)
= Given :-
perimeter of traingle = 58 feet
let the third side be. "X" feet longest side = (2x - 8) feet shorter side = (x + 2) feetPerimeter of traingle = sum of all three sides
=> A/q. ,
( x ) + ( 2x - 8 ) + ( x + 2) = 58. ✓✓✓
x + 2x - 8 + x + 2 = 58
=>. 4x - 6 = 58
=> 4x = 58 + 6
=> 4x = 64
=>. x = 64/4
=|. x = 16 feet
length of third side = 16 feet length of shorter side = 18 feet length of longest side = 24 feet
Hope it helps you.......
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
semiannually. What will he have in his account at the end of three years?
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting [tex]P=14850, r=4, n=2, t=3[/tex] in the above formula, we get
[tex]A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}[/tex]
[tex]A=14850\left(1+0.02\right)^{6}[/tex]
[tex]A=14850\left(1.02\right)^{6}[/tex]
On further simplification, we get
[tex]A=14850(1.12616242)[/tex]
[tex]A=16723.511937[/tex]
[tex]A\approx 16723.51[/tex]
Therefore, the amount in the account after three years is $16723.51.
Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
Answer:
156 were there on the fourth day.
Step-by-step explanation:
125% of the number she received on the previous day
This means that the previous day number is multiplied the 125%/100% = 1.25.
64 responses the first day
This means that the number of responses after x days is given by:
[tex]R(x) = 64(1.25)^x[/tex]
How many were there on the fourth day?
This is R(4). So
[tex]R(4) = 64(1.25)^4 = 156[/tex]
156 were there on the fourth day.
Answer:
125
Step-by-step explanation:
Simplify -|-7+4|
O 4
O -1/4
O -4
Answer:
Therefore, 7/4 simplified to lowest terms is 7/4.
Pls help ASAP!!!!!!!!!!! I NEED HELP IMMEDIATELY!!!
Jaime had ten posters, but only five could fit on his closet door. How many different ways can he arrange the five posters out of the ten on his closet door?
A. 252
B. 648
C. 6,048
D. 30,240
Answer:
its c
Step-by-step explanation:
What is the area of the parallelogram shown?
Answer:
Area = 96 square m
Step-by-step explanation:
[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]
Answer:
The area of parallelogram is 96 m ².
Step-by-step explanation:
According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.
Solution :-Using Formula
Area of parallelogram = Base × Height
Substitute the values into this formula
Area of parallelogram = 12 m × 8 m
multiply, we get
Area of parallelogram = 96 m²
Therefore, The area of parallelogram is 96 m ².
You are given that 3x cubed = 375. Find the value of X
Answer:
375 divided by 3= x. 375/3= 125, the cube root is 5. X=5
Step-by-step explanation:
hope it helped
Answer:
1. 3x^3= 375
2. =>x^3= 375/3
3. => x^3= 125
4. =>x^3=( 5)^3
5. =>x=5
Step-by-step explanation:
No explanation
Find the area of the circle shown below if the radius is 13 inches. Use 3.14 for π. Use the formula π x R^2
A) None of these answers
B)2,122.64 inches
C)530.66 inches
D)20.41 inches
E)47.1 inches
Answer:
C
Step-by-step explanation:
that is the procedure above
The area of this circle with a radius of 13 inches is, C)530.66 inches
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
A circle with center A is given and the length of the line segment(radius),
AB = AD = AC = 13 inches.
We know, The area of a circle is,
= πr².
= π(13)² sq in.
= 530.66 sq in.
We can also find the perimeter or the circumference of the circle by the formula 2πr,
= 2π×13.
= 26π.
= 81.64 inches.
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