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3 years ago

What is 3,700,000 in scientific notation??

Mathematics

1 answer:

lawyer [7]3 years ago

7 0

<h3>Answer: Choice D) 3.7 * 10^6</h3>

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Explanation:

Place a decimal point between the first two digits 3 and 7.

Now ask yourself how you can go from 3.7 back to the original value. Notice we can move the decimal point 6 spots to the right to go from 3.7 back to 3,700,000

Therefore, the exponent over the 10 is 6. The exponent is positive to mean we move the decimal point to the right. If we had a negative exponent, then we'd move left.

You can use a calculator to confirm that 3.7 * 10^6 = 3,700,000

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Side notes:

3,700,000 = 3 million, 7 hundred thousand

3,700,000 = 3.7 million

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William is drafting his fantasy basketball team. He needs to select one player for each position. The following table shows how

denpristay [2]

The corrrect answer is 77

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3 years ago

In what order would we solve for n?<br> 3n - 4 = 14

Blizzard [7]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation;

3*n-4-(14)=0

Pull out like factors :

3n - 18 = 3 • (n - 6)

Solve : 3 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solve : n-6 = 0

Add 6 to both sides of the equation :
n = 6

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3 years ago

Suppose it costs $43 to roll a pair of dice. you get paid $6 times the sum of the numbers that appear on the dice. is it a fair

lutik1710 [3]

The game is not fair as 6 times the expected sum is less than the cost, $43.

In the question, we are asked if the game is fair.

For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,

6E(X) ≥ 43.

The expected sum for the pair, E(X) can be calculated using the formula,

E(X) = ∑x.p(x),

or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,

or, E(X) = 107/18.

Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.

Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.

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2 years ago

One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n

maxonik [38]

Answer:

$B.\ \frac{3m}{2n}$

Step-by-step explanation:

Given

$4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq 0)$

Required

Calculate one of the root of the equation

$4mnx^2 - 6m^2x - 6n^2x + 9mn = 0$

Factorize

$2mx(2nx - 3m) -3n(2nx - 3m) = 0$

$(2mx - 3n)(2nx - 3m) = 0$

Split equation

$2mx - 3n = 0\ or\ 2nx - 3m = 0$

Make x the subject of formula in both expressions

$2mx = 3n\ or\ 2nx = 3m$

$x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}$

<em>From the list of given options, one of the roots of the equation is</em> $\frac{3m}{2n}$

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3 years ago

61% of men consider themselves professional baseball fans. you randomly select 10 men ask each if he considers himself a profess

Xelga [282]

The probability is 0.1932 that a randomly selected man considers himself a professional fan.

<h3>What is probability?</h3>

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given data as:

The number of randomly selected men, n = 10.

Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61

Probability of failure, that a randomly selected man does not consider himself a professional fan is:

⇒ q = 1 − p = 1 − 0.61= 0.39

The probability that the number of men who consider themselves professional fans is:

⇒ ⁿcₓpˣqⁿ⁻ˣ

Substitute exactly x = 5

⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵

⇒ ¹⁰c₅(0.61)⁵(0.39)⁵

⇒ 0.1932

Therefore, the required probability is 0.1932.

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2 years ago