An online survey company wants to know if customer age is important in deciding to subscribe. The company has gathered a random sample of 1000 people from the population and asked each person whether he or she would subscribe to a service. Perform all the steps of a hypothesis test with a = 0.05 to determine whether or not an individual would subscribe to a service and age are independent.
Age
Under 18 18-34 35 and Over Total
Yes 120 262 237 619
No 41 103 237 381
Total 161 365 574 1000

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

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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.

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.

Learn more about rhombus on:

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Answer:

−(−4y−2+sin2(x))=0

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

that's my answer

Step-by-step explanation:

i hope it helps

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]

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

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.

learn more about circles here :
https://brainly.com/question/11833983

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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.

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.

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.

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.

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.

Answer:

y= -6/7

Step-by-step explanation:

.............. I did it, trust me

Answer:

more information please.

Step-by-step explanation:

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:

Answer:

Step-by-step explanation:

the equation is 8 cause 10 equals 8

Answer:

Therefore, 7/4 simplified to lowest terms is 7/4.

Answer:

20/9

Step-by-step explanation:

20 quarts : 9 gallons

20/9(1 is the HCF of both values)

20/9

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

Step-by-step explanation:

=>>. Hello mate. (◕ᴗ◕✿)

= Given :-

perimeter of traingle = 58 feet

Perimeter 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

Hope it helps you.......

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.

Answer:

The answer is A

Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.

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]

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

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]

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:

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.

Answer:

Robert had 78 coins or c=78

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: