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seropon [69]
2 years ago
5

Which describes the correct procedure when converting a number from scientific notation to standard notation if the power of 10

is -10? A .Move the decimal point to the left. B. Move the decimal point to the right. C. Move the decimal point to the right. D. Subtract 20 from the number.
Mathematics
1 answer:
jenyasd209 [6]2 years ago
4 0

Answer:

A. Move the decimal point to the left

Step-by-step explanation:

Given that:

The scientific notation = 10⁻¹⁰

Let recall;

That the standard notation usually took the form of an inverse:

For example;

Let say 10⁻¹ will be \dfrac{1}{10} in scientific notation;

SO, \dfrac{1}{10} = 0.1

Now; we are given 10⁻¹⁰ as a scientific notation,

To standard notation, we get:

10^{-10} = \dfrac{1}{100}

= 0.01

Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is  -10.

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Which of the following is perfect square trinomial. Ive asked 4 times. Please Help. Will give brainlilest
Nutka1998 [239]

Answer:

D

Step-by-step explanation:

a perfect square trinomial is

a^2x^2\pm2(ab)xy+b^2y^2

factorized is

(ax\pm by)^2

so as you can see option A and B can't be, because they have -49y^2 and it has to be plus

so the other options are C and D

in the trinomial a=4 and b=\pm 7

the roots of a^2 and b^2

\pm2abxy=\pm2(4)(7)xy\\\\=\pm56xy

so it's option d with b=-7

16x^2-56xy+49y^2

6 0
3 years ago
What does it mean if the distance between a point p and a line l is zero? What does it mean if the distance between two lines is
-Dominant- [34]

Answer:

a) the point is on the line

b) the lines are the same line

Step-by-step explanation:

a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.

b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.

4 0
3 years ago
Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers have maintained careful records
madreJ [45]

Answer:

For this case we have the following info related to the time to prepare a return

\mu =90 , \sigma =14

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard deviation would be:

\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2

And the best answer would be

b. 2 minutes

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we have the following info related to the time to prepare a return

\mu =90 , \sigma =14

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard deviation would be:

\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2

And the best answer would be

b. 2 minutes

3 0
3 years ago
what is the value of the X variable in the solution to the following system of equations for 4x+ 2y =6 x-y=3
blagie [28]
X=1,y=1

1 )4x+2y=6
2 ) x -y=3

2(x2) ) 2x - 2y=6
6 0
3 years ago
Read 2 more answers
A random number generator is used to select an integer from 1 to 100 ​(inclusively). What is the probability of selecting the in
natima [27]

Answer:

The correct answer is zero.

Step-by-step explanation:

A random variable generator selects an integer from 1 to 100 both inclusive leaves us with total number of possible sample as 101.

We need to find the probability of selecting the integer 194.

The probability of selecting 194 from the sample is zero as the point does not exist in the random variable generator. Thus we can never pick 194 from the random variable generator giving us the probability a zero.

5 0
2 years ago
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