Find the measure of the arc or angle indicated.

makkiz [27]

A. x= 6, -1. B. 1, -7

8 0

3 years ago

An alarm system requires a 7-digit code using the digits 0 through 9. Each digit may only be used once in the code. How many dif

maks197457 [2]

10M different codes are possible.

Probability Definition in Math-

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic.
For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

It’s simple. there are 7 digits, so that would mean you start with 0,000,000 and end with 9,999,999.
If the highest digit is 9,999,999 and you add a 1 more to it, you have a total of 10M combinations.

Learn more about probability

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8 0

2 years ago

The base of an isosceles triangle is 12 cm and its perimeter is 48 cm find its area

NikAS [45]

I hope it helps you ❤️❤️❤️❤️❤️❤️

8 0

3 years ago

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A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3

finlep [7]

The complete question is
A colony of 2^120 bacteria occupies a total volume of 1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. 
Complete parts (a) and (b) below. 

a) Assume that the bacteria are distributed uniformly over the planet's surface. How deep would the bacterial layer be? (You can find the approximate depth by dividing the bacteria volume by the planet's surface area.) 
____m 

b) Would the bacteria be knee-deep, more than knee-deep, or less than knee-deep? 

A. The bacteria would be less than knee-deep. 
B. The bacteria would be more than knee-deep. 
C. The bacteria would be knee-deep. 
D. It depends on the height of the person

Part a)
Find the approximate depth
= (bacteria volume / planet surface area) 
= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) 
= 2.4 m

the answer Part a) is
2.4 m

Part b)
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height.
2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans

therefore

the answer part b) is the option
D. It depends on the height of the person

8 0

3 years ago

The expression (a3)2 can be simplified as shown here:

lina2011 [118]

Given expression $(a^3)^2$ .

Let us simplify step by step with explaination.

Let us read the given expression.

$(a^3)^2$ could be read as a power 3 and whole power 2.

Because we have whole power 2 of a^3. That represents two factors of (a^3) is there. So, we could write two factors of a^3 as (a^3)(a^3).

So, first step is (a^3) (a^3).

Now, each of the factor has a^3.

That is read as a power 3, that is three factors of a.

So, we can write a^3 in expanded form as a*a*a.

For each a^3, we would write a*a*a.

We have two facrors of a^3 there.

So, (a^3)(a^3) could be written as (a*a*a)(a*a*a).

There are 3+3=6 factors of a's there.

So, we could rewrite (a*a*a)(a*a*a) as 6 power of a.

That is a^6.

Therefore, we got the steps :

(a^3)^2 = (a^3)(a^3) = (a*a*a)(a*a*a) = a^6.

7 0

3 years ago

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