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Keith_Richards [23]
2 years ago
15

A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f

rom Earth. What is this distance expressed in scientific notation?
3.31 × 1026 light-years

3.31 × 10-26 light-years

3.31 × 1024 light-years

3.31 × 10-24 light-years

3.31 × 1025 light-years
Mathematics
2 answers:
alexdok [17]2 years ago
6 0
To show this number using scientific notation, you will look at where the decimal point is and imagine that in the original number.  Then count the number of place values to the right of this.  That will be the exponent that belongs with the 10 because that is how many place values (groups of 10s) the number has past the decimal point.

The answer is 3.31 x 10^26 light years.  ^ means to the power of.


stiv31 [10]2 years ago
6 0

3.31 × 1026 light-years

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Ber [7]

\bold{\huge{\blue{\underline{ Solution}}}}

\bold{\underline{ We \: have \:given \: that, }}

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\bold{\underline{ Now}}

  • <u> </u><u>Height</u><u> </u><u>of </u><u>the </u><u>house </u><u>is</u><u> </u><u>2</u><u>5</u><u>m</u>

\bold{\underline{ So, }}

\sf{ CE = 25m }

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7 0
2 years ago
TIME REMAINING
arsen [322]

Answer: (3, -1)

Step-by-step explanation:

Reflecting over y = -x maps (x, y) \longrightarrow (-y, -x).

So, F(1,-3) \longrightarrow F'(3, -1)

5 0
1 year ago
In the Diagram, DEC is a ____ of ABC across line k.
IRISSAK [1]

Answer:

Reflection

Step-by-step explanation:

A reflection is a mirrored image of a shape.  Notice how DEC seems to be a "flipped" version of ABC, hence a mirrored image.

Cheers.

5 0
3 years ago
Justin has $7.50 more than Ava and Emma has $12 less than Justin. Together, they have a total of $63.00. How much money does eac
Semmy [17]
Justine > Ava > Emma
12 - 7.5 = 4.5
x + (x+4.5) +(x+12) = 3x + 16.5 = 63
63-16.3 = 56.7
56.7/ 3 = 18.9
A: Emma has $ 18.9 Ava has $23.4 Justin has $30.9
5 0
3 years ago
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
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