Is anyone able to solve this equation? It’s urgent

PtichkaEL [24]

Tn=3n-5 therefore: T(3)=3(3)-5 T(3) =4

4 0

3 years ago

Jordan earns $15.35 per hour. on Tuesday , Jordan clocked in at 7:45 Am then clocked out for a break at 12:15 am and working unt

Vaselesa [24]

12:45Answer:

Part A: 9 hours 45 minutes

Part B: $126.1575

Step-by-step explanation:

Part A,

From 7:45 to 12:15 is 4 hours and 30 minutes

From 12:45 which he clocked back in to 6:00 is 5 hours and 15 minutes.

4 hours and 30 minutes plus 5 hours and 15 minutes = 9 hours and 45 minutes.

Part B, 9 hours and 45 minutes can be represented as 9.45

And since he gets 15.35 "per" hour shows we can multiply.

15.35 x 9.45 = 126.1575

Therefor he earned 126.15.

8 0

3 years ago

For his phone service, Tom pays a monthly fee of $28, and he pays an additional $0.04 per minute of use. The least he has been c

Len [333]

Answer:

1421 minutes

Step-by-step explanation:

(84.48-28)/.04=M

84.48-28=56.48

56.48/.04=1421

6 0

3 years ago

What is the first step in solving this system of equations?

DiKsa [7]

Step-by-step explanation:

Multiply the first equation by 7 and the second by 2

8 0

2 years ago

Scores at a local high school on the American College Testing (ACT) college entrance exam follow the normal distribution with a

san4es73 [151]

Answer:

a) The mean is 18 and the standard deviation is 1.79.

b) The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

c) 0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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.

Mean of 18 and a standard deviation of 8.

This means that $\mu = 18, \sigma = 8$

Sample of 20:

This means that $n = 20, s = \frac{8}{\sqrt{20}} = 1.79$

(a) Calculate the mean and standard deviation of the sampling distribution of x¯.

By the Central Limit Theorem, the mean is 18 and the standard deviation is 1.79.

(b) Interpret the standard deviation from part (a).

The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.

This is 1 subtracted by the pvalue of Z when X = 19.5. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$