Answer:
x = -5 y = -9
Step-by-step explanation:
y = x -4
5x + y = - 34
substitute x-4 in for y to solve for x
5x + x - 4 = 34
solve for x . . . add 5x + x = 6x
so you now have 6x-4 = -34
add 4 to both sides of the equation
6x-4 + 4 = -34+ 4
6x = -30
divide both sides by 6
6x/6 = -30/6
x= -5
then you plug -5 for x in the first equation
y = x - 4
y= -5 -4
y =-9
x= -5 y= -9
Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
<h3>What are the hypothesis?</h3>
- At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

- At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

<h3>Test statistic</h3>
The <em>test statistic</em> is given by:

In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
For this problem, the parameters are:

The value of the <em>test statistic</em> is:



Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is
.
Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
To learn more about the z-distribution, you can take a look at brainly.com/question/16313918
Its neither but i will go with odd
Answer:
.25 or 1/4
Step-by-step explanation:
The probability of drawing a blue marble is 5/10 or 1/2. multiply that by the same probability again as the marble is placed back in the bag. Then you have your answer.
First you need to find the percent equivalent to that of the ratio. The ratio is 3:5. From there you would take the 3, and divide it by 5. 3/5=0.6. Apply that to the information that you are given: 8(0.6)=4.8.