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r-ruslan [8.4K]
2 years ago
14

Can someone help me make sense of the problem. Provide an explanation and answer if at all possible

Mathematics
2 answers:
Verizon [17]2 years ago
4 0

Answer:

  1.728×10¹⁵

Step-by-step explanation:

You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).

An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.

  10 = 1 × 10

  100 = 1 × 10 × 10 = 1 × 10²

__

Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).

Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)

The product will be ...

  (5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)

  = 17.28 × 10¹⁴

  = (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left

Adding that extra zero into the count we already have, this becomes ...

  = 1.728×10¹⁵

_____

<em>Additional comment</em>

Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.

Or, you can use a spreadsheet with appropriate output cell formatting.

masha68 [24]2 years ago
4 0

Answer:

1.728×10¹⁵ is the answer

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weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probabi
kenny6666 [7]

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

7 0
3 years ago
Without multiplying, order the following products from least to greatest. 23* 2/2 23* 1/4 23* 13/5
Romashka-Z-Leto [24]
Answer:

From least to greatest

23* 1/4, 23* 2/2, 23* 13/5

Explanation

In order to do this without multiplication, place the fractions in ascending order.

The denominators of these fractions have 20 as a common multiple.

2/2 • 10 = 20/20

1/4 • 5 = 5/20

13/5 • 4 = 52/20

From this it logically follows that the fractions in ascending order are:

1/4, 2/2, 13/5

Therefore the products in ascending order are:

23* 1/4, 23* 2/2, 23* 13/5



7 0
3 years ago
If 4 pairs of socks costs $10. 00, how many pairs of socks can be purchased for $22. 50?.
klasskru [66]
9 pairs.

If 4 pairs of socks cost $10.00 and you have $22.50 to spend then you can buy 9 pairs of socks leaving you with $0.00 left over.
Each pair of socks cost $2.50.
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2 years ago
15 1/2 x 12 1/4 I NEED HELP QUICK
S_A_V [24]

Answer:

189.875

Step-by-step explanation:

6 0
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Nookie1986 [14]
Is it -3 because it would be a negative number that is less than positive one
3 0
3 years ago
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