A tire company wants to determine if tires made with a new type of tread will last longer than tires made with the original type of tread. The company has access to 24 different vehicles. Each vehicle will receive four tires with the new tread and four with the original tread. The position, front or back, will be randomly determined for a pair of each type of tread. For example, a vehicle will have the new type of tread on the front tires and the original tread on the back tires. After six months, the pairs of unused tires will be used with the position switched on the car. The vehicles will be driven for six more months. At the end of one year, the depths of the remaining tread will be measured for each tire and the average differences between the new and original tread types will be determined. The average differences will then be used to determine if the new tread does last longer.
Is this a matched pairs design for this experiment?
Yes, the company used 24 different vehicles.
Yes, both types of tread were randomly assigned to each vehicle.
No, the vehicles were not put into groups of two.
No, the tires with the different types of tread were not randomly assigned to each vehicle.

Using it's concept, it is found that there is a 8% probability of the card being a king, given that it is a black card.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In a standard deck, there are 26 black cards, of which 2 are kings, hence the probability is given by:

p = 2/26 = 0.0769 = 7.69%.

Rounded to the nearest whole number, 8% probability of the card being a king, given that it is a black card.

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The length of the petals of the rose is 8 units

The polar equation is given as:

r = 8 cos(30)

The amplitude of the above equation is:

A = 8

This is the same as the length of the petals

i.e.

Length = 8

Hence, the length of the petals of the rose is 8 units

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Answer:

6

Step-by-step explanation:

g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.

Let's find the value of f(0).

f(x)= x²

f(0)= 0²

f(0)= 0

Now, we can find the value of g(f(0)).

g(x)= x +6

g(f(0))

= g(0)

= 0 +6

= 6

Answer:

4 19/36

Step-by-step explanation:

we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.

 =>     10 2/9 + 5 1/4

          As   a c/d    is     a + c/d,

          10 2/9 + 5 1/4 can also be written as  10+5+2/9+1/4

           now  we have to simplify it

 =>      10+5 = 15  

 =>      2/9 =  (2*4)/9*4)  =  8/36,    1/4  =  (1*9)/(4*9)  =  9/36

           now we have the same denominators

           add,

           8/36 + 9/36  =  (8+9)/36    =      17/36

 =>      now we know that 10 2/9 +  5 1/4  is  15 17/36 (  which is 15 + 17/36)

 =>      next step is to convert 15 17/36 into an improper fraction

           15 17/36  =     [(15*36)+17]/36     =     [540+17]/36    =   557/36

 =>       now we just have to subtract  557/26 from 20

            20 -  557/36  =   [(20*36)-557]/36   =    [720-557]/36   =    163/36

 =>   we can convert 163/36 into a mixed fraction if we want to  

        163/36 converted into mixed fraction is 4 19/36

        hope this helps :)

Answer:

25 customers

Explanation:

To find the number of people preferred cake, multiply the percentage by total customers.

People who preferred cake:

⇒ 35% × 71

⇒ 24.85

⇒ 25 (rounded to nearest whole number)

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Answer:

A

Step-by-step explanation:

because the point number are segment

Answer:

-1331

Step-by-step explanation:

Just ask. :)

Answers:

P(A) = 7/12

P(B) = 1/4

====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

This is out of 36 ways to roll two dice.

Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12

-----------------------------------

If a number is divisible by 4, then it is a multiple of 4.

The multiples of 4 found in the table are: 4, 8, 12

We have

This gives 1+5+3 = 9 values that are a multiple of 4

P(B) = 9/36 = (1*9)/(4*9) = 1/4

Answer:

[tex]\sf X=\dfrac{2345}{9999}[/tex]

Step-by-step explanation:

Given:

[tex]\sf X=0.234523452345...[/tex]

Therefore, X is a recurring decimal (the decimal numbers 2345 repeat forever).

Converting a recurring decimal to a fraction

Let X equal the recurring decimal:

[tex]\implies \sf X=0.234523452345...[/tex]

Create another number with recurring 2345s by multiplying the above expression by 10000:

[tex]\implies \sf 10000X=2345.23452345...[/tex]

To solve these two equations and write X as a fraction, take away X from 10000X to remove all the recurring decimal places:

[tex]\large\begin{array}{r r l}& \sf 10000X & = \sf 2345.23452345... \\- & \sf X & = \sf \quad \:\:\:0.23452345.... \\\cline{2-3} & \sf 9999X & = \sf 2345\end{array}[/tex]

[tex]\implies \sf 9999X=2345[/tex]

Divide both sides by 9999:

[tex]\implies \sf X=\dfrac{2345}{9999}[/tex]

Therefore, 0.23452345... as a fraction is [tex]\sf \dfrac{2345}{9999}[/tex]

Answer:

D

Step-by-step explanation :

To distribute 1,200 cans evenly among 10 shelves, with each shelf having 6 rows, we find that there are 120 cans on each shelf.

To find the number of cans on each shelf, we need to divide the total number of cans (1,200) by the total number of shelves (10) and the number of rows per shelf (6).

First, calculate the total number of cans in each shelf by multiplying the number of rows per shelf by the number of cans in each row:

Cans per shelf = Rows per shelf * Cans in each row

Cans per shelf = 6 * 200 = 1,200

Now, divide the total number of cans (1,200) by the total number of shelves (10):

Cans on each shelf = Total number of cans / Total number of shelves

Cans on each shelf = 1,200 / 10 = 120

So, there are 120 cans on each shelf when the cans are divided evenly among the shelves.

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Probability of pulling out the Blue Marbels = 4/9

Step-by-step explanation:

Red Marbels = 3

Blue Marbels = 4

Yellow Marbels = 2

Total Marbels = 9

P( Blue Marbels) = Number of favorable outcomes/Total number of possible outcomes = 4/9

The number of adults =16 and the number of kids =4

Answer:

10

Step-by-step explanation:

Let the missing side be 'x'.

Using Pythagorean Theorem, we can find the missing side.

Answer:

25(1+2)

Step-by-step explanation:

25 goes into 25 once and 50 twice.

[tex]~~~~~~6=2x^2 -11x\\\\\implies 2x^2 -11x -6 = 0\\\\\implies 2x^2 -12x +x-6=0\\\\\implies 2x(x-6) +(x-6) = 0\\\\\implies (2x+1)(x-6) = 0\\\\\implies x = -\dfrac 12,~~ x= 6\\\\\text{Since }~p > q,}~~ p =6~ \text{and}~ q = -\dfrac 12\\ \\\text{So,}~ p-q = 6 -\left(- \dfrac 12 \right)\\\\~~~~~~~~~~~~~=6+\dfrac 12 \\\\~~~~~~~~~~~~~=\dfrac{13}2\\\\~~~~~~~~~~~~~=6.5[/tex]

The value of p -q is 6.5.

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The equation 6 = 2x^2 - 11x has two solutions, p and q, with p being greater than q.

[tex]6 = 2x^2 - 11x \\\\ 2x^2 - 11x - 6 = 0\\\\ 2x^2 - 12x + x- 6 = 0\\[/tex]

(2x + 1) (x-6) = 0

Thus, x = -1/2 , 6

Since p>q

p = 6 , q = -1/2

So, p -q = 6 - (-1/2)

= 6 + 1/2

= 13/2

= 6.5

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Answer:

76.47

How I did it(using a specific range)

(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47

Answer:

If the circle touches all 4 sides, the diameter is 2 so the area us 3.14(4) = 12.56.

16 - 12.56 = your answer

Mark brainliest if I am right pls

Answer:

the answer is 14 hopes this helps

Step-by-step explanation:

Ac/b=?

-2(-12)=24/3

24/3=8

8-(a+d)=?

8-(-2(+-)4)=?

8-(-2-4)=?

8+2+4=?

10+4=?

14

Answer:

50

Step-by-step explanation:

Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).

If no train has more than 25 seats. Then the number of cars in the first, second, and third train will be 17, 18, and 20 respectively.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Three trains are made of identical train cars, so each car has the same number of seats.

The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats.

If no train has more than 25 seats.

Then the number of the cars on each train will be

Let x, y, and z be the number of the cars in the first, second, and third train.

Then we have

x = 418 / 25

x = 16.75

x ≅ 17

y = 456 / 25

y = 18.24

y ≅ 18

z = 294 / 25

z = 19.76

z ≅ 20

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Answer:

11 cars in the 1st train, 12 cars in the 2nd train and 13 cars in the 3rd train

Step-by-step explanation:

There is a difference of 38 between the numbers 418, 456 and 494.

[tex]418/38=11\\456/38=12\\494/38=13[/tex]

Trust me, this is 100% the correct answer!

hope this helps!

Answer:

It's 5/30 Seniors. As a fraction, it would be 16.7 % of the seniors take the bus. Hope this helps!!!!!

Answer:

5/35=1/7=0.14

Step-by-step explanation:

35 in total for Senior

5 take bus

5/35=1/7

Answer:

74%.

Step-by-step explanation:

As the passes are independent we multiply the individual probabilities:

The  Required probability

= 0.86 * 0.86

= 0.7396

- close to 74%.

Answer:

solution

here;

answer D

Step-by-step explanation: