All categories

2 years ago

How many times smaller is 2 × 10-3 than 4 × 10-2? PLEASE HELP

Mathematics

1 answer:

NNADVOKAT [17]2 years ago

6 0

<h2>The required "option A) 20" is correct.</h2>

Step-by-step explanation:

Let x be the smaller than 4 × $10^{-2}$ .

To find, the number of times smaller is 2 × $10^{-3}$ than 4 × $10^{-2}$ = ?

∴ x = $\dfrac{4\times 10^{-2}}{2\times 10^{-3}}$

= 2 × $10^{-2}$ × $10^{3}$

Using the identity,

$a^{m}=\dfrac{1}{a^{-m}}$

= 2 × $10^{-2+3}$

Using the identity,

$a^{m} \timesa^{n}=a^{m+n}$

= 2 × $10^{1}$

= 2 × 10

= 20

Thus, the required "option A) 20" is correct.

You might be interested in

Which expression is equivalent to 4/9x7?

LiRa [457]

Is there an answer key?

8 0

2 years ago

5/6-1/8 Solve by finding a common denominator A)30/48 B)34/48 C)38/48 D)42/48

GrogVix [38]

Answer:

B) 34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

The difference is ...

$\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}$

Additional comment

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

8 0

1 year ago

The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m

UkoKoshka [18]

Answer:

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of $\bar X$ Round your answers to two decimal places.

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

4 0

2 years ago

Conjectures can always be proven true. True or False

DochEvi [55]

Yes, It is True first find what is a conjectures

4 0

3 years ago

Read 2 more answers

Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?

xxTIMURxx [149]

Answer:

x² + y² = 34

Formula:

(x - h)² + (y - k)² = r² where (h, k) is the center

Here find the radius using distance formula: → origin : (0, 0)

√(x2-x1)²+(y2-y1)²

√(3-0)²+(5-0)²

√9+25

√34

Thus the equation of circle:

(x - 0)² + (y - 0)² = (√34)²

(x - 0)² + (y - 0)² = 34

x² + y² = 34

7 0

2 years ago

Read 2 more answers