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3 years ago

Someone please help!

Mathematics

1 answer:

valentina_108 [34]3 years ago

8 0

Answer:

x = 33

Step-by-step explanation:

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A small combination lock on a suitcase has 3 wheels, each labeled with the 10 digits from 0 to 9. If an opening combination is

Artyom0805 [142]

Answer:

0.14% probability of a person guessing the right combination

Step-by-step explanation:

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

The order in which the numbers are selected is important. For example, 1,3,2 is a different combination than 3,1,2. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Desired outcomes:

One right combination, so $P = 1$

Total outcomes:

10 numbers from a set of 3. So

$P_{(10,3)} = \frac{10!}{(10-3)!} = 720$

What is the probability of a person guessing the right combination?

$p = \frac{D}{T} = \frac{1}{720} = 0.0014$

0.14% probability of a person guessing the right combination

5 0

4 years ago

Find the value of <img src="https://tex.z-dn.net/?f=%246%2B%5Cfrac%7B1%7D%7B2%2B%5Cfrac%7B1%7D%7B6%2B%5Cfrac%7B1%7D%7B2%2B%5Cfra

Paul [167]

Let

$x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}$

Then

$x = 6 + \dfrac1{2 + \dfrac1x}$

and solving for x gives

$x = 6 + \dfrac x{2x + 1}$

$x = \dfrac{13x + 6}{2x + 1}$

$x(2x+1) = 13x + 6$

$2x^2 + x = 13x + 6$

$2x^2 - 12x - 6 = 0$

$x^2 - 6x - 3 = 0$

By the quadratic formula,

$x = 3 \pm 2\sqrt{3}$

but x must be a positive number, so only the positive square root solution is valid.

$x = 3 + 2\sqrt{3}$

We identify a = c = 3 and b = 2, so a + b + c = 8.

3 0

3 years ago

Grace earns $7 for each car she washes. She always saves $21 of her weekly earnings. This week, she

Ugo [173]

Answer: 13

Step-by-step explanation:

$66\geq 7x-21$

add 21 both sides

$87\geq 7x$

divide both sides by 7

$12.4\geq x$

So more than 13 cars

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3 years ago

What balance will be in an account that has an initial deposit of $4600 with an APR of

GarryVolchara [31]

Answer:

100$or 20.4 that is the answer

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3 years ago

Calculate the exterior and interior angles of a regular pentagon

MAVERICK [17]

Interior angle: 108
exterior:72

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3 years ago