1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sever21 [200]
2 years ago
12

Write each power of ten in standard notation. 10‐³​

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
8 0

9514 1404 393

Answer:

  0.001

Step-by-step explanation:

In our base-10 place-value number system, the "places" correspond to powers of 10. Those powers start at 0 in the "ones place", and increase by 1 for each place to the left. That is, the 10s place digits have a place value of 10^1, the 100s place digits have a place value of 10^2 and so on.

The place values to the right of the decimal point work the same way. For each place to the right, the exponent decreases by 1. The tenths place (0.1) digits have a place value of 10^-1, the hundredths place (0.01) digits have a place value of 10^-2, and the thousandths place (0.001) digits have a place value of 10^-3.

  10^-3 = 0.001

_____

<em>Additional comment</em>

Some places, 10^-3 <em>is</em> standard notation. That is, what is defined as "standard" varies around the world.

You might be interested in
10 1/4 divided by 2 1/2
gtnhenbr [62]

Answer: 4.1

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Rosa brought d drawings to an art show. After selling 17 of them, she had 22
Roman55 [17]

Answer:

C) d - 17 = 22

Step-by-step explanation:

selling 17 means she had 17 less than what she brought

d - 17 = 22 means: 22 is 17 less than what she brought

7 0
3 years ago
Read 2 more answers
A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exa
yarga [219]

Answer:

z= \frac{85-70}{10}=1.5

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

Step-by-step explanation:

Assuming this complete question:

A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:

Our student: Final exam score = 85; Class: M = 70; SD = 10.

His friend: Final exam score = 45; Class: M = 35; SD = 5.

The Z score for the student and his friend are:

A) Our student, Z= -1.07; his friend, Z= -1.14.

B) Our student, Z= 1.50; his friend, Z=2.00.

C) Our student, Z= 1.07; his friend, Z= -1.14.

D) Our student, Z= 1.07; his friend, Z= 1.50

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 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

Let X the random variable that represent the scores for our student, and for this case we know that:

E(X)= \mu =70, SD_X=\sigma=10  

The z score is given by:

z=\frac{x-\mu}{\sigma}

If we use this we got:

z= \frac{85-70}{10}=1.5

Let Y the random variable that represent the scores for his friend, and for this case we know that:

E(Y)= \mu =35, SD_Y=\sigma=5  

The z score is given by:

z=\frac{y-\mu}{\sigma}

If we use this we got:

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

3 0
3 years ago
Square of (1\4A+1\4B)^2
miskamm [114]

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

7 0
2 years ago
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
Ipatiy [6.2K]

Answer:

108

Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

= 81-81/3-3

= 0/0 (indeterminate)

Apply l'hospital rule

= lim x -> 9 d/dx(x²-81)/√x - 3

= lim x -> 9 2x/1/2√x

Substitute x = 9

= 2(9)/1/2√9

=18/1/(2(3)

=18 × 6/1

= 108

Hence the limit of the function is 108

7 0
3 years ago
Other questions:
  • The number of visitors to a park is expected to follow the function v(x) = 7(x − 1), where x is the number of days since opening
    9·2 answers
  • Write x^2 • x^5 without exponents
    7·1 answer
  • Polygon ABCD is the result of a translation of polygon EFGH . AB¯¯¯¯¯ is parallel to DC¯¯¯¯¯ in the pre-image. Drag the answers
    14·2 answers
  • The slope of (-4,3) and (-18,18)
    10·1 answer
  • The next term in the geometric sequence -1, -2, -4, ... is -6.<br><br> True or False
    12·1 answer
  • Factorise 9x squared -6x+1
    9·1 answer
  • Uwb-mcps-tgf<br>please join​
    13·2 answers
  • Could someone answer this please NO LINKS AND REAL ANSWERS!!
    5·1 answer
  • It is 12:49 what time it will be 30 minutes from now
    13·2 answers
  • Help me plzzzzzz btw how life going??​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!