Sum term product factor quotients coefficients for 5x+12

The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the int

Elanso [62]

Answer:

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 0.5

Standard deviaiton = 0.289

Sample of 12

By the Central Limit Theorem

Mean = 0.5

Standard deviation $s = \frac{0.289}{\sqrt{12}} = 0.083$

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

7 0

3 years ago

Part A: The line of best fit for this data is y = 5.3x + 23 . Use this equation to make a conjecture about the temperature of th

Luda [366]

Can you help me with something

3 0

3 years ago

1. The alphabet which can assume different values is called: *

Sedaia [141]

Answer:

variable

Step-by-step explanation:

8 0

3 years ago

The director of the town's sports programs is studying trends in enrollment over time. She finds that the number of participants

ziro4ka [17]

Answer:

The function is : $y=120(1.10)^x+120+10x$

Step-by-step explanation:

Suppose, after $x$ years, the number of participants in the town's soccer program is $y_{1}$ and in the town's street hockey program is $y_{2}$

This year, there are 120 children participating in each program.

The number of participants in the town's soccer program increases by 10% each year.

Using the exponential growth formula, the number of participants in the town's soccer program after $x$ years will be.....

$y_{1}=120(1+0.10)^x\\ \\ y_{1}=120(1.10)^x$

The number of participants in the town's street hockey program increases by 10 children each year.

So, the number of increased participants in $x$ years $=10x$

Thus, the number of participants in the town's street hockey program after $x$ years will be.....

$y_{2}=120+10x$

If the total number of children participating in the two programs is represented as $y$ , then.....

$y= y_{1}+y_{2}\\ \\ y=120(1.10)^x+120+10x$

So, the function that can be used to predict the total number of children participating in the town's soccer and street hockey programs in x years will be: $y=120(1.10)^x+120+10x$

3 0

3 years ago

Find the measure of the angle indicated

Bond [772]

Answer:

76°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

52° + 12x + 4 = 22x - 4

52 = 22x - 4 - 12x - 4

52 = 10x - 8 add 8 to both sides

60 = 10x divide both sides by 10

6 = x

The measure of angle F is 12x + 4, replace x with the value we found

m<F 12 × 6 + 4 = 76°

3 0

3 years ago