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3 years ago

How to put 634 in scientific form

Mathematics

2 answers:

svetoff [14.1K]3 years ago

7 0

Answer:

6.34 × 10²

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 634

New Number: 6.34

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 6 . 3 4

Decimal Count: 1 2

There are 2 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.34

b = 2

Now the whole thing:

6.34 x 10²

Step 4

Check your work:

10² = 100 x 6.34 = 634

statuscvo [17]3 years ago

6 0

Answer:

6.34 x 10^2

Step-by-step explanation:

Move the decimal place to the left 2 positions

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A catering company provides packages for weddings and for showers. The cost per person for small groups

Tomtit [17]

Using the <em>normal distribution and the central limit theorem</em>, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.

<h3>Normal Probability Distribution</h3>

In a normal distribution 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.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.

<h3>What is the mean and the standard error of the distribution of differences?</h3>

For each sample, they are given by:

$\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667$

$\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382$

For the distribution of differences, we have that:

$\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3$

$s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444$

The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, <u>one subtracted by the p-value of Z when X = 0</u>, hence:

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0 - 17.3}{9.4444}$

$Z = -1.83$

$Z = -1.83$ has a p-value of 0.0335.

1 - 0.0335 = 0.9665.

More can be learned about the <em>normal distribution and the central limit theorem</em> at brainly.com/question/24663213

5 0

2 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

4 0

3 years ago

Help please! Thank you!!

Rus_ich [418]

Let x be the number of sheets Raj had before printing.

sheets per copy= 25/2 = 13(round up)

x = 10+ 13(22)

x = 296.

Raj had 296 sheets of paper before printing.

8 0

3 years ago

How to put 634 in scientific form​

How to put 634 in scientific form