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natima [27]
3 years ago
11

Jim writes down a large number. The number is 543 followed by 12 zeroes. How would Jim express this number in scientific notatio

n?
Mathematics
2 answers:
vekshin13 years ago
8 0
The answers would read as 5.43 x 10^12
gavmur [86]3 years ago
7 0

Answer:

Scientific notation:   5.43\times 10^{14}

Step-by-step explanation:

Jim writes down a large number.

The number is 543 with 12 zeros.

First we write the number and then convert into scientific notation.

Number: 543000000000000

Scientific notation: k\times 10^{n}

Where, 0\leq k  and  n\rightarrow \text{Integer}

543000000000000, If number has no decimal. It assume to be at last.

If we move decimal from right to left to first digit. The exponent is positive.

If we move decimal from left to right to first digit. The exponent is negative.

543000000000000 ⇒ 5.43\times 10^{14}

Scientific notation:   5.43\times 10^{14}

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3. The adult men of the Dinaric Alps have the highest average height of all regions. The
ahrayia [7]

Using the normal distribution, it is found that:

  • 3 - a) The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
  • 3 - b) The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.
  • 4 - a) The 25th percentile for the math scores was of 71.6 inches.
  • 4 - b) The 75th percentile for the math scores was of 78.4 inches.

<h3>Normal Probability Distribution </h3>

In a <em>normal distribution </em>with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

Question 3:

  • The mean is of 73 inches, hence \mu = 73.
  • The standard deviation is of 3 inches, hence \sigma = 3.

Item a:

The 40th percentile is X when Z has a p-value of 0.4, so <u>X when Z = -0.253</u>.

Z = \frac{X - \mu}{\sigma}

-0.253 = \frac{X - 73}{3}

X - 73 = -0.253(3)

X = 72.2

The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.

Item b:

The minimum height is the 100 - 10 = 90th percentile is X when Z has a p-value of 0.9, so <u>X when Z = 1.28</u>.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 73}{3}

X - 73 = 1.28(3)

X = 76.84

The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.

Question 4:

  • The mean score is of 75, hence \mu = 75.
  • The standard deviation is of 5, hence \sigma = 5.

Item a:

The 25th percentile is X when Z has a p-value of 0.25, so <u>X when Z = -0.675</u>.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 75}{5}

X - 75 = -0.675(5)

X = 71.6

The 25th percentile for the math scores was of 71.6 inches.

Item b:

The 75th percentile is X when Z has a p-value of 0.25, so <u>X when Z = 0.675</u>.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 75}{5}

X - 75 = 0.675(5)

X = 78.4

The 75th percentile for the math scores was of 78.4 inches.

To learn more about the normal distribution, you can take a look at brainly.com/question/24663213

5 0
2 years ago
Given parallelogram ABCD and AB || CD, if mAB = -5 then mCD must be:
Anastaziya [24]

Answer:

the answer must be -5 I hope

3 0
2 years ago
Find the value of x in the proportion 4/7 = x 56 pls help!!
serg [7]

Answer:

98

Step-by-step explanation:

4=x56×7

4=x392

392/4=X

98

6 0
3 years ago
A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centime
ASHA 777 [7]

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7}   \times (7 \ cm)^3\\\\V = 718.67 \ cm^3

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

4 0
3 years ago
Solve the following equations for x, if possible. check your solutions. 6/dividex+2 = 3/4
SOVA2 [1]

Solving \frac{6}{x+2}=\frac{3}{4} we get x=6

Step-by-step explanation:

We need to solve \frac{6}{x+2}=\frac{3}{4}

Solving:

Cross multiply both terms:

4*6=3(x+2)\\24=3x+6\\3x=24-6\\3x=18\\x=18/3\\x=6

Verifying the solution:

Putting x=6 in the question given:

\frac{6}{x+2}=\frac{3}{4}

\frac{6}{6+2}=\frac{3}{4}

\frac{6}{8}=\frac{3}{4}

\frac{3}{4}=\frac{3}{4}

Solving \frac{6}{x+2}=\frac{3}{4} we get x=6

Keywords: Solving equations

Learn more about Solving equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

3 0
3 years ago
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