Ask question

Ask question

All categories

3 years ago

13

The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1515 and a stand

ard deviation of 15. Approximately what percentage of buckets contain between 1470 and 1560 pieces of popcorn?

1 answer:

Murrr4er [49]3 years ago

3 0

Answer: 99.7%, Im pretty confident about that. Im taking the test right now.

Step-by-step explanation:

You might be interested in

Does this look correct?

Neko [114]

That is not correct. I will help you. Begin by subtracting the 9x from both sides, like this: 9x - 9x + 2y = 6 - 9x. That simplifies to 2y = -9x + 6. Now divide both sides by 2 to get y all alone, like this: $\frac{2y}{2}=- \frac{9}{2}x+ \frac{6}{2}$ . That reduces down to $y=- \frac{9}{2}x+3$ . That is slope-intercept form. y = mx + b.

7 0

3 years ago

Solve 73 make sure to also define the limits in the parts a and b

Aleks04 [339]

73.

$f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}$

a)

$\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3$ $\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3$

b)

Since we can't divide by zero, we need to find when:

$x^4-2x^2+144=0$

But before, we can factor the numerator and the denominator:

$\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}$

Now, we can conclude that the vertical asymptotes are located at:

$\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}$

so, for x = -3:

$\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty$ $\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty$

For x = 4:

$\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$ $\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$

4 0

1 year ago

What is the highest common factor of 33 and 93

antoniya [11.8K]

The highest is 3 does this help u?

4 0

3 years ago

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf. If he complet

marusya05 [52]

Answer:

24 rounds

Step-by-step explanation:

This question has to do with a factor of numbers which we refer to as:

Lowest common multiple.

Lowest common multiple can be defined as the Lowest multiple that is common to the multiple of two numbers.

We are told in the question that:

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf.

We find the multiples of 6 and 8

6 = 1, 6, 12, 18, 24, 48, 54, 60, 66, 72 e.tc.

8 = 1, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, e.t.c

The Lowest Common Multiple: This is the least or lowest multiple that is common to both 6 and 8

= 24.

Therefore, it will take 24 rounds for Lloyd to complete another goblin and elf at the same time

4 0

3 years ago

A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She t

uranmaximum [27]

Answer:

The degrees of freedom associated with this problem are 16.

Step-by-step explanation:

The degrees of freedom associated with a problem, independent of the confidence level, is the sample size subtracted by 1.

In this problem, we have that:

She takes a random sample of 17 trucks, so the sample size is 17.

This means that the degrees of freedom associated with this problem are 16.

4 0

3 years ago