How would you prove lines parallel using this equation?

Consider the number lines shown below which shows jump from one number to another. There are four different arrows, starting fro

horsena [70]

Answer:

Step-by-step explanation:

Its number line 2.

7 0

2 years ago

Hi, can you help me answer this question please, thank you

BartSMP [9]

3)

Assuming that the population of the study has a normal distribution and that you are studying the population mean μ.

The statistic hypotheses are

$\begin{gathered} H_0\colon\mu=87.8 \\ H_1\colon\mu$

If you look at the alternative hypotheses, it includes the symbol "<", which indicates that the test is <em>one-tailed</em>. This means that you will reject the null hypotheses at small values of the test statistic.

Since the sample size is small (n=4) and the given sample data. The test statistic to use for the test is the Student's t:

$t=\frac{\bar{X}-\mu}{\frac{S}{\sqrt[]{n}}}\sim t_{n-1}$

To calculate the value of the statistic under the null hypothesis you have to use the sample data and the value of the population mean under the null hypothesis:

μ= 87.8

sample mean= 75

sample standard deviation= 17.1

n=4

$\begin{gathered} t_{H0}=\frac{75-87.8}{\frac{17.1}{\sqrt[]{4}}} \\ t_{H0}=\frac{-12.8}{8.55} \\ t_{H0}=-1.497 \end{gathered}$

The test statistic under the null hypothesis is -1.497

The p-value is the probability corresponding to the calculated statistic if possible under the null hypothesis.

So you have to calculate the probability of obtaining the value t=-1497

The student t has n-1 degrees of freedom, since the sample taken is n=4, the degree of freedom is 3.

The p-value is then the accumulated probability up to -1.497 under a t-distribution with 3 degrees of freedom:

$p-\text{value}=P(t_3\leq-1497)=0.115653\approx0.1157$

The p-value is equal to 0.1157

4)

To make a decision using the p-value, you have to compare the said value with the level of significance, following the decision rule:

- If the p-value ≥ α, do not reject the null hypothesis.

- If the p-value < α, reject the null hypothesis.

The p-value (0.1157) is greater than the significance level (α= 0.05)

The decision is "do not reject the null hypothesis."

5 0

1 year ago

4 = z + 7 need help with this ?

Alex73 [517]

To solve, we would use inverse operations.

4 - 7 = z + 7 - 7
= -3 = z

z = -3

Hope this helps! Have an awesome day :)

5 0

3 years ago

Read 2 more answers

What is the probability of getting a king when drawing a card from deck of cards ?

shutvik [7]

4/52. or in a simplified way, 1/13. Because there are 4 King cards, and there are 52 cards in a standard playing card deck.

3 0

3 years ago

An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8. In which inequality does n re

VikaD [51]

Answer:

$n\leq 8$

Step-by-step explanation:

Given: An art teacher needs to buy at least 60 brushes for her class.

Number of brushes in each pack is equal to 8.

To find: inequality where n represent the minimum number of packs the teacher needs to buy for her class

Solution:

Total number of brushes $\leq 60$

Also,

Total number of brushes = $8n$ where n represent the minimum number of packs the teacher needs to buy for her class

According to question,

$8n\leq 60\\n\leq \frac{60}{8}\\=7.5\\\approx 8$

4 0

3 years ago