Answer:
X=-10 Y=-3
Step-by-step explanation:
The value of x is 5. To find this distribute 1/3 and then add like terms.
Answer:
4
Step-by-step explanation:
took the test and got it right!
Since 1 person costs 50, and for each person after that the cost goes up by $5, we can conclude the following: There is a flat fee of $45 and each guest costs $5.
Since the entry fee is a flat charge and cannot change, and the amount per guest changes based on the number of guests, the variable goes after the 5.
This can be modeled as<em> $45 + $5x</em>. The only options that represent this are A and D. Since he wants his total to be under $100, The correct option would be <u>d. $45 + $5x < 100</u>. Otherwise, with answer A, he would come up with a total that goes over his limit.
Answer:
The 90% confidence interval is 0.575 to 0.625.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence interval
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval is 0.575 to 0.625.