Answer:
The null hypothesis is
The alternative hypothesis is
Step-by-step explanation:
State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase
At the null hypothesis, we test if the proportion is of at least 32%, that is:
We are testing if less than 32% of visitors make a purchase, so, at the alternative hypothesis, we test if the proportion is less than 32%, that is:
Answer: y=4
Step-by-step explanation: First of all, we have to know what a consistent and independent system is.
Consistent and independent- If a consistent system has exactly one solution, and is independent, then it's consistent and independent
Let's graph the equation y=3x-2 first. The y intercept of the equation is -2 and the slope of the equation is 3. Lets plot the y intercept first, then use rise/run for the slope. We end off with the image of the first one I have attached to this answer.
Next, we can see if that we draw a straight arrow to one of the points in the equation, we will get a independent and consistent system. I picked y=4, but you can pick almost any point that lies within the line.
This will grant only one solution, which will give us what we need. So let's graph y=4. Finally, we have our consistent and independent system! I've attached another file to support my answer.
So the final answer to your question is y=4, the solution to the system is (2,4), as you can see by the last image.
<em><u> Give me feedback on my answer. Tell me if I'm lacking explanation about anything. Please help me, you can also help others by informing me what else I need to be specific on.</u></em>
Answer:
Step-by-step explanation:
1) In this question we've been given "a", the leading coefficient. and two roots:
2) There's a theorem, called the Irrational Theorem Root that states:
If one root is in this form then its conjugate
. is also a root of this polynomial.
Therefore
3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:
Answer:
Step-by-step explanation:
Given
Required
Probability of selecting a yellow then orange rock
From the question, we understand that the probability is that of without replacement.
Since the yellow, is first picked.
We need to determine the probability of picking a yellow rock, first.
The rock has reduced by 1;
Next is to determine the probability of picking an orange rock
The required probability is calculated as thus:
