The 6 elephants at the zoo have a combined weight of 11,894 pounds. About how much does each elephant weigh?

Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 2 of an hour. How many square feet could the robot

anastassius [24]

Answer:

Help

Step-by-step explanation:

8 0

2 years ago

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"Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume the distribution of ad lengt

Westkost [7]

Answer:

a) $\bar X \sim N(\mu=30, \frac{2}{\sqrt{16}})$

b) $Se=\frac{\sigma}{\sqrt{n}}=\frac{2}{\sqrt{16}}=0.5$

c) $P(\bar X >31.25)=0.006=0.6\%$

d) $P(\bar X >28.25)=0.9997=99.97\%$

e) $P(28.25$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variabl length of advertisements produced by Majesty Video Production Inc. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =30,\sigma =2)$

We take a sample of n=16 . That represent the sample size.

a. What can we say about the shape of the distribution of the sample mean time?

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is also normal and is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(\mu=30, \frac{2}{\sqrt{16}})$

b. What is the standard error of the mean time?

The standard error is given by this formula:

$Se=\frac{\sigma}{\sqrt{n}}=\frac{2}{\sqrt{16}}=0.5$

c. What percent of the sample means will be greater than 31.25 seconds?

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

$z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}$

And we want to find this probability:

$P(\bar X >31.25)=1-P(\bar X$

d. What percent of the sample means will be greater than 28.25 seconds?

In order to answer this question we can use the z score in order to find the probabilities, the formula is given by:

$z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}$

And we want to find this probability:

$P(\bar X >28.25)=1-P(\bar X$

e. What percent of the sample means will be greater than 28.25 but less than 31.25 seconds?"

We want this probability:

$P(28.25$

3 0

2 years ago

Reggie heard that as a general rule, he should save at least 10% of his take- home pay. If Reggie's take-home pay is $2340 per m

ivolga24 [154]

We are given to understand as per the problem that one must save 10% of their take home pay.

Reggie's take home pay is $2,340 per month

As per the rule Reggie must save 10% of 2,340 per month = 0.10*2,340 = $234 per month

Since we need to know the savings in a year, we have to multiply the monthly savings by 12 since there are 12 months a year

Minimum amount per year that he should save = $234 *12 = $2,808

Minimum amount per year that he should save = $2,808

4 0

2 years ago

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Sean has ordered a gift online and was told it will be delivered in a cube-

Svetllana [295]

Answer:

2,400% D

hope i helped

if i can get braibnliest that would be great

3 0

2 years ago

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Simon can see two lights, light A and light B.

Vaselesa [24]

Answer:

2 Times

Step-by-step explanation:

Light A flashes every 15 seconds.

Light B flashes every 18 seconds.

First, we determine the next time both lights will flash together.

This is done by finding the Least Common Multiple of the two numbers.

15=3X5

18= $2X3^2$

LCM of 15 and 18= $2X3^2X5=90$

This means that both lights will flash together after 90 seconds.

Now, 4 Minutes =4 X 60 =240

240=90+90+60

Therefore, the number of times more both light will flash together in the next 4 Minutes

= 2 Times

4 0

2 years ago