Answer:
First option: 
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can observe that:
1. Both lines have the same y-intercept:
2. The lines are solid, then the symbol of the inequality must be 
or 
.
3. Since both shaded regions are below the solid lines, the symbol is:
Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:
Answer:
Step-by-step explanation:
The mean SAT score is 
, we are going to call it \mu since it's the "true" mean
The standard deviation (we are going to call it 
) is
Next they draw a random sample of n=70 students, and they got a mean score (denoted by 
) of 
The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.
- So the Null Hypothesis 
- The alternative would be then the opposite 
The test statistic for this type of test takes the form
and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.
With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.
<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>
Answer:
For number 3 the answer is -4
Answer:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Step-by-step explanation:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Answer:
Step-by-step explanation:
We are given the equation:
Which has roots α and β.
And we want to express (α + 1)(β + 1) in terms of <em>a</em>, <em>b</em>, and <em>c</em>.
From the quadratic formula, we know that the two solutions to our equation are:
Let <em>x</em>₁ = α and <em>x₂ </em>= β. Substitute:
Combine fractions:
Rewrite:
Multiply and group:
Difference of two squares:
Expand and simplify:
Distribute:
Cancel like terms:
Factor:
Cancel. Hence:
Therefore:
