To answer, we set the expression inside the absolute value symbol (II) equal to 0. That is,
x + 2 = 0
Then, we solve for the value of x.
x + 2 - 2 = 0 - 2
Hence, the value of x from the equation above is equal to -2.
Then, substitute the value of x to the equation and drop the absolute value symbol.
y = 4(x + 2) + 7
Substituting,
y = 4(-2 + 2) + 7
y = 4(0) + 7
y = 7
Thus, the vertex of the absolute value equation is equal to (-2,7). The answer is the last choice.
Answer:
The change in temperature is 3 degrees celsius.
Step-by-step explanation:
E) sqrt(30)
This is a nice problem. It was helpful to read the topic at the top.
Notice that the two right triangles are similar. Their sides are in proportion.
That is the side '3' is what 'x' is in the other triangle (you need to rotate it!)
Then 'x' is similar to '10'
3/x=x/10 ---> x^2=30, x=sqrt(30)
If you are patient, you can check that for sqrt(30) pythagoras theorem works for all the triangles.
Best
Then
Answer:
- A
- A
- C
- B
Step-by-step explanation:
1) The statement is true. A larger margin of error creates a wider confidence interval, which is more likely to contain the population parameter.
2) The statement is false. A larger sample size decreases the standard error of the sample proportion, which decreases the margin of error.
3) The statement is true. A smaller sample size increases the standard error of the sample proportion, which, for a fixed margin of error, decreases the critical value, z*.
4) The statement is true. One can see from the margin of error formula that the margin of error is inversely proportional to the square root of n.
Answer:
B- 3,500.
Step-by-step explanation:
This is because 3,500 is the lowest number that can be rounded to 4,000.
3,999 and 4,001 can also be rounded but.. (let me show you an image to help).
3,500 < 3,999 < 4,001.
That goes from smallest to largest numbers that round to 4,000.
Hope that helps. x
