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2 years ago

Use the given values of n and p to find the minimum usual value μ - 2σ and the maximum usual value μ + 2σ.

Mathematics

1 answer:

mart [117]2 years ago

5 0

Answer:

$\mu -2\sigma = 915.428 - 2* 22.87=869.69$

$\mu +2\sigma = 915.428 + 2* 22.87=961.17$

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

Step-by-step explanation:

We can assume that the variable of interst X is distributed with a binomial distribution and we can use the normal approximation.

For this case the mean would be given by:

$E(X) = np = 2136 *(\frac{3}{7})= 915.428$

And the standard deviation would be:

$\sigma = \sqrt{2136*(\frac{3}{7}) (1-\frac{3}{7})} =22.87$

And if we find the limits we got:

$\mu -2\sigma = 915.428 - 2* 22.87=869.69$

$\mu +2\sigma = 915.428 + 2* 22.87=961.17$

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

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Evaluate the expression when k=-4 |k-2 • |3k|,- 1 a. 72 b. 71 c. 66 d. -73

Feliz [49]

Answer:

-6×12×-1=72

Step-by-step explanation:

just note that abs(k)

when k<0

is -k

6 0

3 years ago

Read 2 more answers

Which of the following expressions is 0.00012 written in scientific notation? A. 0.12 × 10^-3 B. 1.2 × 10^-4 C. 12 × 10^-5 D. 1.

In-s [12.5K]

Answer:

B. 1.2 x $10^{-4}$

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. Or, in this case it's the opposite since we have a negative number. Since it's a decimal it's multiplied by 10 still but the exponent is negative. All we need to do to find what the exponent would be in this case is to count the number of zeros before the "12." There are 4 zeros before the 12. So your exponent would be -4. Now all we need to do is write out "equation" per say.

1.2 x 10^-4

Hope this helps and have a nice day!

5 0

2 years ago

Read 2 more answers

1. What is the perimeter of the figure below. Simplify. 4x^3-5x 2x^3+6x 6x^3+x

____ [38]

Answer:

$12x^3+2x$

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of its sides.

The sides in the triangle shown have lengths $2x^3+6x$ , $4x^3-5x$ , and $6x^3+x$ in no specific order.

Since its perimeter is given by the sum of its sides, the perimeter is equal to:

$2x^3+6x+4x^3-5x+6x^3+x$

Combine like terms:

$\boxed{12x^3+2x}$

6 0

3 years ago

Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.

kifflom [539]

The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true

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3 years ago

Y = −4x + 3 Graphing equations in slope-intercept form

jok3333 [9.3K]

Y=-4x+3 is already in slope intercept form. Graphed it looks like this

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2 years ago