Is the line for the equation x = 4 horizontal or vertical? What is the slope of the line? Select the best answer.

Johnny was walking down the street and he found 20$ so he went into the shop and bout three ice cream cones boxes how much money

timofeeve [1]

Answer:

he has 1 $ left

Step-by-step explanation:

7 0

3 years ago

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The mean number of words per minute (WPM) read by sixth graders is 8888 with a standard deviation of 1414 WPM. If 137137 sixth g

Bingel [31]

Noticing that there is a pattern of repetition in the question (the numbers are repeated twice), we are assuming that the mean number of words per minute is 88, the standard deviation is of 14 WPM, as well as the number of sixth graders is 137, and that there is a need to estimate the probability that the sample mean would be greater than 89.87.

Answer:

"The probability that the sample mean would be greater than 89.87 WPM" is about $\\ P(z>1.56) = 0.0594$ .

Step-by-step explanation:

This is a problem of the distribution of sample means. Roughly speaking, we have the probability distribution of samples obtained from the same population. Each sample mean is an estimation of the population mean, and we know that this distribution behaves normally for samples sizes equal or greater than 30 $\\ n \geq 30$ . Mathematically

$\\ \overline{X} \sim N(\mu, \frac{\sigma}{\sqrt{n}})$ [1]

In words, the latter distribution has a mean that equals the population mean, and a standard deviation that also equals the population standard deviation divided by the square root of the sample size.

Moreover, we know that the variable Z follows a normal standard distribution, i.e., a normal distribution that has a population mean $\\ \mu = 0$ and a population standard deviation $\\ \sigma = 1$ .

$\\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}}$ [2]

From the question, we know that

The population mean is $\\ \mu = 88$ WPM
The population standard deviation is $\\ \sigma = 14$ WPM

We also know the size of the sample for this case: $\\ n = 137$ sixth graders.

We need to estimate the probability that a sample mean being greater than $\\ \overline{X} = 89.87$ WPM in the distribution of sample means. We can use the formula [2] to find this question.

The probability that the sample mean would be greater than 89.87 WPM

$\\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$\\ Z = \frac{89.87 - 88}{\frac{14}{\sqrt{137}}}$

$\\ Z = \frac{1.87}{\frac{14}{\sqrt{137}}}$

$\\ Z = 1.5634 \approx 1.56$

This is a standardized value and it tells us that the sample with mean 89.87 is 1.56 standard deviations above the mean of the sampling distribution.

We can consult the probability of P(z<1.56) in any cumulative standard normal table available in Statistics books or on the Internet. Of course, this probability is the same that $\\ P(\overline{X} < 89.87)$ . Then

$\\ P(z$

However, we are looking for P(z>1.56), which is the complement probability of the previous probability. Therefore

$\\ P(z>1.56) = 1 - P(z$

$\\ P(z>1.56) = P(\overline{X}>89.87) = 0.0594$

Thus, "The probability that the sample mean would be greater than 89.87 WPM" is about $\\ P(z>1.56) = 0.0594$ .

5 0

3 years ago

At 6:00 A.M the temperature was 25 F.At 9:00 P.M the temperature was -13F,What was the difference in the temperature?

Alex73 [517]

The difference is 38 degrees

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3 years ago

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Which of the following is an exponential equation? y = mx + b y = a(b^x)

Darina [25.2K]

Y = a(b^x)

y=mx + b is the equation of a line. It is a linear function because it has a constant rate of change.

y = a(b^x) is an exponential function because it has has an exponent and its rate of change is not constant

4 0

3 years ago

The set of all numbers less than or equal to -8 or greater than or equal to 2.

tatiyna

The set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

<h3>The set of numbers</h3>

From the question, we are to write the set of numbers less than or equal to -8 or greater than or equal to 2

Let x represent the set of the numbers

If a number is less than or equal to -8

Then,

-8 is greater than or equal to the number

That is,

-8 ≥ x

If a number is greater than or equal to 2

Then,

x ≥ 2

Thus, the set of all the numbers is

-8 ≥ x ≥ 2

Hence, the set of all numbers less than or equal to -8 or greater than or equal to 2 is -8 ≥ x ≥ 2. The set is {x∈R|-8 ≥ x ≥ 2}

Learn more on Set of numbers here: brainly.com/question/18667553

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7 0

1 year ago