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3 years ago

In the given diameter 12cm and

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer:

12.6 cm

Step-by-step explanation:

Given:

m<AOB = θ = 120°

Diameter (d) = 12 cm

Required:

Length of arc AB

Solution:

Length of arc AB = θ/360 × πd

Plug in the values

Length of arc AB = 120/360 × π×12

≈ 12.6 cm (nearest tenth)

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Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality

Tju [1.3M]

|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the answer: (-5; 17)

5 0

3 years ago

32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash registe

weqwewe [10]

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

$P(X=x)= \ ^nC_xp^x(1-p)^{n-x}$

Now, the probability that eight receipts will show that the above three food items were ordered :

$P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023$

hence, the required probability = 0.0023

8 0

3 years ago

What is the range of the values shown on the table? What does the range represent?

hjlf

Answer:

Option D)R: {0 ≤ y ≤ 360}; The range represents the number of miles the car can travel

Step-by-step explanation:

The table in the attached figure

Let

x -----> the amount of gas used in gallons (independent variable)

y ----> the number of miles the car can travel (dependent variable)

In this problem

The domain is the interval -----> [0,12]

$0\ gal \leq x \leq 12\ gal$

The range is the interval ----> [0,360]

$0\ miles \leq y \leq 360\ miles$

3 0

3 years ago

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Helga [31]

Answer:

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Step-by-step explanation:

You do 2800 x 0.08 in ur calculator which is 224 and multiply that by 9

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3 years ago

8. Ally bikes 4 5/8miles in 3/8 of an hour.<br> What is the unit rate at which Ally is biking?

Katena32 [7]

Answer:12.33

Step-by-step explanation:

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3 years ago