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makvit [3.9K]
3 years ago
14

Describe why the prime factorization of a number is sometimes written with exponents?

Mathematics
1 answer:
Katen [24]3 years ago
6 0
Say you wanted to write the prime factorization of 8.
Its prime factorization <em>can</em> be written as 2 × 2 × 2, but it would be much easier to just write it as 2³ (2 times itself 3 times)
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Jenny paid $8.54 for a pizza. She now has $16.79. With how much money did she start?
irinina [24]

the math is very simple really 25.35 i hope this helps

8 0
4 years ago
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Sidana [21]

Answer:

13, 26 , 13 24

Step-by-step explanation:

4 0
3 years ago
Which absolute value function defines this graph?
bixtya [17]
The first one because it has a negative slope (which is -4) and h is always the opposite while k stays the same. By the way h is the 2 and k is the 3
6 0
3 years ago
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A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Con
marishachu [46]

Answer:

(i) 0.15708

(ii) 0.432488

(iii) 3

Step-by-step explanation:

Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.

There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.

As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.

Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.

So, p=1-0.99=0.01

According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is

P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)

(i) The total number of persons randomly selected, n=400.

The probability that exactly 5 of them did not see a doctor

So, r=5 , p=0.01

Using equation (i),

P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}

=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}

=0.15708

(ii) The probability that fewer than four of them did not see a doctor

=P(r

=P(r=0)+P(r=1)+P(r=2)+P(r=3)

=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}

=0.017951+0.072527+0.146154+0.195856

=0.432488

(iii) The expected number of people who would not see a doctor

=np

=300\times 0.01

=3

7 0
3 years ago
Find the value of x. If necessary, write your answer in simplest radical form.<br> x=?
Sever21 [200]
Pythagoras’ theorem

a^2 + b^2 = c^2

Where a and b are two sides on a triangle and c is the hypotenuse.

Rearrange to find one to the sides that isn’t the hypotenuse.

a^2 = c^2 - b^2
a^2 = 25^2 - 10^2
a^2 = 625 - 100
a^2 = 525

(square root)

a = √525

= 5√21
5 0
2 years ago
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