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3 years ago

What is 0.000058 written in scientific notation?

2 answers:

8 0

5.8x10^-5 or 5.8E-5!
So if you were to move the decimal place from 0.000058 to 5.8, you’ve moved the decimal place over to the right by 5 numbers, or you’ve multiplied the number by 100,000, or 10^5.

So if you divide 5.8/(10^5), you have 0.000058. Taking exponent rules into account, 5.8/(10^5) = 5.8•(10^-5). Therefore, 0.000058 = 5.8x10^-5

Pavel [41]3 years ago

3 0

Answer:

5.8 × 10^-5

Step-by-step explanation:

Move the decimal to the right of the first non zero number. Count how many decimal places. In this case it was 5 places to the right or munus. Put the number at 5.8 times 10 to the -5 power.

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Brad reads his favorite book for 1 1/4 hours each day. If he has read the book for 22 1/2 hours so far, how many days has he rea

yan [13]

Answer:

18 days

Step-by-step explanation:

1 1/4 hours each day and 22 1/2 hours so far, so we divide 22 1/2 by 1 1/4

22 1/2÷ 1 1/4

=45 ÷ 5

2 ÷4

= 45 ×4

2 ×5

= 9×2

= 18

8 0

3 years ago

Find the outlier of the data set<br> 3.1, 5.3, 4.3, 0.7, 5.6, 5.2, 5.8, 5.4

Vilka [71]

0.7

Low outlier = Q1 - 1.5(IQR)
High outlier = Q3 + 1.5(IQR)

5 0

4 years ago

SIMPLIFY THE FOLLOWING EXPRESSION: given that s ≠ 0, and write your answer using only positive exponents. Thanks in advance!!!

Umnica [9.8K]

Answer:

4s¹²/(9t⁴)

Step-by-step explanation:

<u>Solving in steps:</u>

(3s⁻⁴t⁷s⁰)⁻²(-2s²t⁵)² =
3⁻²s⁻⁴ˣ⁻²t⁷ˣ⁻²(-2)²s²ˣ²t⁵ˣ² =
1/9×s⁸t⁻¹⁴(4)s⁴t¹⁰ =
4/9 ×s⁸⁺⁴t⁻¹⁴⁺¹⁰ =
4/9 ×s¹²t⁻⁴=
4s¹²/(9t⁴)

3 0

3 years ago

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694$

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0

3 years ago

Find all polar coordinates of point P where P = (9,pi divided by 5).

RSB [31]

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

7 0

3 years ago